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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-23-3939-2026</article-id><title-group><article-title>In situ production of hybrid N<sub>2</sub>O in dust-rich Antarctic ice</article-title><alt-title>In situ production of hybrid <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in dust-rich Antarctic ice</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Soussaintjean</surname><given-names>Lison</given-names></name>
          <email>lison.soussaintjean@unibe.ch</email>
        <ext-link>https://orcid.org/0000-0003-2589-8972</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Schmitt</surname><given-names>Jochen</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4695-3029</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Savarino</surname><given-names>Joël</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6708-9623</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Menking</surname><given-names>J. Andy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Brook</surname><given-names>Edward J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5438-0115</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Seth</surname><given-names>Barbara</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Lipenkov</surname><given-names>Vladimir</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Röckmann</surname><given-names>Thomas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6688-8968</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fischer</surname><given-names>Hubertus</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2787-4221</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Climate and Environmental Physics, Physics Institute and Oeschger Centre for Climate Change Research, University of Bern, Bern, 3012, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>University Grenoble Alpes, CNRS, IRD, Grenoble INP, INRAE, IGE, Grenoble, 38000, France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Australian Antarctic Program Partnership, Institute for Marine and Antarctic Studies, University of Tasmania, Hobart, Australia</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Environmental Research Unit Commonwealth Scientific and Industrial Research Organisation Aspendale, Victoria, Australia</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>College of Earth, Ocean, and Atmospheric Sciences, Oregon State University, Corvallis, OR 97331, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Climate and Environmental Research Laboratory, Arctic and Antarctic Research Institute, Saint Petersburg, 199397, Russia</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Institute for Marine and Atmospheric research Utrecht (IMAU), Utrecht University, 3584CC Utrecht, the Netherlands</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Lison Soussaintjean (lison.soussaintjean@unibe.ch)</corresp></author-notes><pub-date><day>15</day><month>June</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>11</issue>
      <fpage>3939</fpage><lpage>3963</lpage>
      <history>
        <date date-type="received"><day>1</day><month>July</month><year>2025</year></date>
           <date date-type="rev-request"><day>10</day><month>July</month><year>2025</year></date>
           <date date-type="rev-recd"><day>15</day><month>February</month><year>2026</year></date>
           <date date-type="accepted"><day>23</day><month>February</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Lison Soussaintjean et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026.html">This article is available from https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e222">Nitrous oxide (<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) is a potent greenhouse gas involved in the destruction of stratospheric ozone. Past atmospheric mixing ratios of <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> are archived in ice cores; however, the presence of in situ <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in dust-rich Antarctic ice complicates their accurate reconstruction, especially during glacial periods. This production occurs in extremely cold ice and without sunlight. This study aims to understand the reaction producing <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in Antarctic ice by identifying the precursors and the reaction pathway. We compared the oxygen and nitrogen bulk and position-specific isotope composition of in situ <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in ice cores to the isotopic composition of nitrate (<inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), a possible precursor of <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. The <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> signature of <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is fully transferred into the central N atom (N<sup><italic>α</italic></sup>) of in situ <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, but it is not transferred into the terminal N atom (N<sup><italic>β</italic></sup>), resulting in a 50 % transfer of the <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> signature of <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> into the bulk <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> isotopic composition. These findings suggest that the in situ <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production involves two different nitrogen precursors present in ice: the central N atom (N<sup><italic>α</italic></sup>) originates from <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and the terminal N atom (N<sup><italic>β</italic></sup>) from a different precursor not yet identified. Oxygen isotope analysis shows that <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> cannot be the only reservoir for the O atom of in situ <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Temperature, pH, and absence of sunlight in Antarctic ice point to an abiotic N-nitrosation reaction. The limiting factor of the reaction is probably associated with mineral dust and might be <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, reducing <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> or the precursor of the N<sup><italic>β</italic></sup> atom. The site preference (SP) values of in situ <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> are highly variable between different ice cores and depend on the bulk <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> isotopic composition of <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, itself depending on the <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> isotopic composition of the <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> precursor. This finding is unexpected because SP is usually determined by the production pathway through symmetric reaction intermediates that mix the N atoms in <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> positions and average out their isotopic difference. In contrast, our results provide the first evidence of a hybrid <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production pathway involving an asymmetric intermediate that preserves the distinct <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> signatures of two different precursors – one contributing to the N<sup><italic>α</italic></sup> atom and the other to the N<sup><italic>β</italic></sup> atom.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Horizon 2020</funding-source>
<award-id>955750</award-id>
<award-id>955750</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung</funding-source>
<award-id>200020_200328</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e671">Nitrous oxide (<inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) is a potent greenhouse gas whose global warming potential is 273 times higher than that of carbon dioxide (<inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) on a 100 year timescale (IPCC, 2023). As a result of the anthropogenic alteration of the nitrogen cycle (Gruber and Galloway, 2008), the <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> atmospheric mixing ratio has risen by 23 % compared to pre-industrial levels (Rubino et al., 2019), reaching 338 ppb in December 2024 (Lan et al., 2025) and contributing around 6 % to the radiative forcing from long-lived greenhouse gases. <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is also the primary source of stratospheric nitrogen oxides (<inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) that destroy ozone (Ravishankara et al., 2009).</p>
      <p id="d2e735">Soils and aquatic environments are the main sources of atmospheric <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Production of <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> occurs both during denitrification, the reduction of nitrate (<inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) to nitrite (<inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and ultimately molecular nitrogen (<inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and as a by-product of nitrification, where ammonium (<inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) is oxidized to hydroxylamine (<inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>) and then converted to <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Baggs, 2011; Bange, 2008). <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is also produced during the reduction of <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in nitrifier denitrification, where nitrifying microorganisms reduce <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> similarly to heterotrophic denitrifiers (Wrage-Mönnig et al., 2018). These reactions are performed by bacteria, archaea and fungi, but abiotic reactions have also been documented (Zhu-Barker et al., 2015). These include chemo-denitrification (Jones et al., 2015; Tischer et al., 2022), which is the reduction of <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> by Fe(II), and <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation by Fe(III) or Mn(IV).</p>
      <p id="d2e968">The composition of the atmosphere in the past can be reconstructed by analyzing air trapped in polar and high-altitude ice cores. Ice cores are the only direct atmospheric archive and have provided continuous <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> records over the last 800 000 years covering eight glacial-interglacial cycles (Loulergue et al., 2008; Lüthi et al., 2008) and a partial record of <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Schilt et al., 2010b). In addition to <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios, measurement of the stable isotopic composition of <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is used for source attribution of <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions. In the current state of the climate system, natural sources account for 57 % of total <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions, while anthropogenic sources contribute the remaining 43 % (Tian et al., 2020). Natural sources are approximately 58 % emissions from soils, 38 % from marine ecosystems, and the remaining 4 % from lightning and atmospheric production (Tian et al., 2020). <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions from both land and marine ecosystems may have varied in the past. Because sources differ in their isotopic signatures, past changes in terrestrial and marine emissions can be reconstructed using the isotopic composition of <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> archived in ice cores (Fischer et al., 2019; Menking et al., 2020; Schilt et al., 2014).</p>
      <p id="d2e1085">Beyond bulk isotope analyses (<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), position-specific measurements provide even more detailed insights into <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production mechanisms. Because <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is an asymmetric molecule, the nitrogen isotopic composition of the two N atoms can deviate from each other, and this difference can be measured separately at the central N atom (N<sup><italic>α</italic></sup>, bonded to oxygen) and the terminal N atom (N<sup><italic>β</italic></sup>). From these values, the site preference (<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mtext>SP</mml:mtext><mml:mo>=</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>) can be calculated. Because SP reflects intramolecular isotope partitioning during N-N bond formation, it is primarily controlled by the reaction mechanism and the structure of the last intermediate rather than by the isotopic composition of the precursor (Frame and Casciotti, 2010; Sutka et al., 2003, 2006; Toyoda et al., 2005). As a result, SP values are often characteristic of specific <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> formation pathways and can remain constant even when precursor <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values vary widely. In contrast to bulk <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, which integrates source and fractionation effects, SP provides mechanistic information on how <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is formed and is therefore widely used to discriminate between <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production pathways; SP values are typically negative for bacterial denitrification and positive for nitrification (Toyoda et al., 2017). Using this tool, Prokopiou et al. (2018) showed that SP values increased since preindustrial times, pointing to a relative shift from denitrification to nitrification, consistent with agricultural emissions playing a major role in the <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> increase. Similarly, Menking et al. (2025) demonstrated that the increase in <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> concentrations during the transition from the Last Glacial Maximum to the Holocene reflected contributions from both nitrification and denitrification, whereas the <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> decrease during the Younger Dryas was driven by reduced nitrification.</p>
      <p id="d2e1309">However, the atmospheric signal of greenhouse gases archived in ice cores can be altered (Anklin et al., 1995; Delmas, 1993; Lee et al., 2020; Mühl et al., 2023). This is particularly true for <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>: the <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio in glacial period ice from Antarctica shows large scatter between nearby samples from the same core and different values between ice cores for the same age (Fig. 1) (Flückiger et al., 2002; Sowers, 2001; Stauffer et al., 2003), which is inconsistent with the homogeneous global atmospheric mixing ratio of <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> resulting from its 123 year atmospheric lifetime (Prather et al., 2015) and the low-pass filtering of the atmospheric signal through the slow bubble enclosure process. Because these anomalies were observed for ice core analyses using two distinct gas extraction methods – wet extraction by melting (Schilt et al., 2010b) and dry extraction by grating the ice (Sowers, 2001) – it was concluded that <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production occurred already in the ice sheet and not during the analysis. This “in situ production” or excess <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in dust-rich sections of polar ice cores has two major consequences for the climatic interpretation. First, as the production process has not yet been identified, and the excess <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> has not yet been quantified, we do not have access to past atmospheric <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios during most past glacial periods (Schilt et al., 2010b), where high dust contents are found in the ice. Secondly, samples affected by in situ production deviate from the isotopic composition of atmospheric <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 1), which compromises source attribution (Fischer et al., 2019; Schilt et al., 2014). It is therefore necessary to understand the <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production process(es) in the ice to systematically identify affected samples and thus avoid misinterpretation. Several detection methods were implemented to scrutinize the <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> record (Flückiger et al., 2004; Spahni et al., 2005), but they were only used to discard the samples likely to be affected. Understanding the production processes could potentially provide a reliable way of quantifying the fraction of <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> produced in situ and to correct the measured signal with the aim to obtain the past atmospheric signal.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e1458"><inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio, <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> bulk nitrogen isotopic composition, and <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations that represent the mineral dust content, measured in the TALDICE (Schilt et al., 2010a), EDC (Schilt et al., 2010b), EDML (Fischer et al., 2019), and Vostok (Miteva et al., 2007) ice cores. Because of its low dust content, the TALDICE record in black is considered to represent the best estimate of atmospheric <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> levels (see Sect. 3.2.2). Stars correspond to samples affected by in situ production and represent the total <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> measured, i.e., atmospheric <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> plus in situ <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Grey boxes mark the dust-rich sections of the EDC ice core corresponding to the Last Glacial Maximum (LGM), the Marine Isotope Stage (MIS) 4 and 6 cold periods.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f01.png"/>

      </fig>

      <p id="d2e1559">This work also has relevance for nitrogen cycle processes in extreme environments. Very few studies have focused on <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production under extreme conditions as those encountered in the Antarctic ice sheet, where temperatures reach down to <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, pressures are enormous, and reaction time scales can be of the order of several thousand years. Priscu et al. (2008) measured very high <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios in a permanently ice-covered lake in the Dry Valleys, Antarctica, which they attributed to microbial nitrification. Investigating <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in Antarctic ice is an opportunity to explore whether microorganisms can be metabolically active at <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Although previous studies suggested potential <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production by bacteria (Flückiger et al., 2002; Schilt et al., 2010b; Sowers, 2001), there is currently no evidence to support microbial activity in Antarctic ice as a source for in situ <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. High microbial counts have only been found in a few of the Vostok ice core samples where in situ production was reported (Sowers, 2001). Also, abiotic reactions may cause <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> formation in polar ice. In the Dry Valleys, Antarctica, Samarkin et al. (2010) demonstrated abiotic <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production by chemo-denitrification in the Don Juan Pond soils.</p>
      <p id="d2e1694">This study uses isotope analysis to characterize in situ <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in various ice cores. The background of the study, the extreme environmental conditions in the polar environment, and the potential consequences for the reactions involved are presented in Sect. 2. Based on the strong enrichment in <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> observed in some samples affected by in situ <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production (Fig. 1), we hypothesize that <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, which can also be highly enriched in <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> in ice, is one of the nitrogen precursors for in situ <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. To test this hypothesis, we measured the isotopic composition of <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the same ice core samples and calculated the isotopic signature of in situ <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Sects. 3 and 4). Position-specific nitrogen isotope analysis of <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> was carried out to further constrain the reaction pathway(s) involved. The potential mechanisms for in situ <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production are discussed in Sect. 5.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Background – Potential precursors and reaction rate of <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in polar ice</title>
      <p id="d2e1863">For both Greenland and Antarctic ice cores, <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production is inferred in ice-core sections corresponding to glacial periods, while there is no in situ production apparent for the Holocene and other interglacial and interstadial periods (Flückiger et al., 2004; Schilt et al., 2010b). The chemical composition of the ice differs significantly between glacial and interglacial periods, particularly in terms of its mineral dust content. Dust concentrations are significantly higher during glacial periods than during interglacial periods (factor of 30–100) in Antarctic and Greenland ice cores (Fuhrer et al., 1999; Lambert et al., 2012). In fact, <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> excess production is only observed in dust-rich ice and, in Antarctica specifically, it increases with higher dust concentrations (Fig. 1). This points to a reaction involving at least one compound contained in or associated with the dust.</p>
      <p id="d2e1892">The excess <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> produced in Antarctic ice is on average 0.4 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The main nitrogen compounds that are generally considered as <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> precursors are <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The typical concentrations of <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in ice are above 320 and 55 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (Kaufmann et al., 2010; Röthlisberger et al., 2000a), and therefore more than sufficient to produce the observed excess <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. However, neither <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> nor <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> spontaneously react to <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. These precursors need to be activated by a chemical or biochemical agent, such as iron II (<inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Zhu-Barker et al., 2015) or bacteria, respectively. Both <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Spolaor et al., 2012, 2013; Traversi et al., 2004) and bacteria (Miteva et al., 2016; Rohde et al., 2008; Sowers, 2001) were detected in polar ice.</p>
      <p id="d2e2101">Previous research has shown that samples affected by in situ production exhibit isotopic deviations from the atmospheric signature that differ in both direction and magnitude across ice cores (Fischer et al., 2019; Menking et al., 2025; Schilt et al., 2014; Sowers, 2001). It has been observed that the <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> signatures of total <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> – i.e. atmospheric plus in situ <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> – depend on snow accumulation: sites with low accumulation show enrichment in <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> compared to the atmospheric signature (Sowers, 2001), while sites with higher accumulation show depletion in <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> (Fischer et al., 2019) (Fig. 1). A similar dependence of isotopic composition on accumulation rate is observed for <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The accepted reason is that after deposition some of the <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> undergoes photolysis in the photic zone, corresponding approximately to the first meter of the surface snow. Kinetic isotope effects for photolysis favor the loss of the lighter isotopologues (i.e. containing <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>), resulting in <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> enrichment of the remaining <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Blunier et al., 2005; Frey et al., 2009). The fraction of photolyzed <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and the degree of isotopic enrichment depends on the time <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> spends in the photic zone before it is archived in the ice by progressive burial. At low-accumulation sites, the duration within the photic zone is longer and a large fraction of <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is photolyzed leading to a highly <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>-enriched <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> archived in the ice, reaching values of <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">300</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> at Concordia (Erbland et al., 2013). In ice core samples affected by in situ <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production, the presence of high <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> along with <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>-enriched <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> strongly suggests that in situ <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production uses N from <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The isotopic composition of <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> has never been measured in Antarctic ice cores, because large amounts of ice are required at the low <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentrations, and the samples are highly sensitive to <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> contamination (Lamothe et al., 2023). Although a low contamination protocol has been developed by Lamothe et al. (2023), it was used for samples with higher <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentrations, where the blanks are small compared to the sample concentration. Nonetheless, the hypothesis of <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> as an <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> precursor is discussed in Sect. 5.1.3.</p>
      <p id="d2e2507">The production of <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> might already start near the surface of the ice sheet, in the snow and firn, but most of the produced <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> would be lost to the atmosphere via air exchange. In the deeper section of the diffusive zone of the firn column and below the air lock-in depth (Battle et al., 1996), exchange of the firn air with the atmosphere is limited or excluded and the produced <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is partly or fully preserved in the ice. To be able to observe in situ <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in ice cores, the production must continue close to or below the lock-in depth (located between 50 to 100 m, depending on the location and conditions of the ice sheet). For example, during the LGM at Vostok, Antarctica, the lock-in depth was around 94 m, and the age of the ice at this depth was 5200 years (Table 1). This means that at Vostok, <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> was still produced several thousand years after the precursors were deposited onto the ice sheet. This observation shows that either it takes time for the precursors to come into contact, for example by diffusion in the ice or ice recrystallization, or that the reaction is very slow due to low temperatures. In the latter case, it would not be possible to reproduce such slow reaction kinetics in the laboratory. This observation also shows that the reaction does not need light.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e2578">Characteristics of the ice core drilling sites presented in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="120pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="45pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="45pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="50pt"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="45pt"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="50pt"/>
     <oasis:colspec colnum="7" colname="col7" align="justify" colwidth="45pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">TG<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col3" align="left">Vostok</oasis:entry>
         <oasis:entry colname="col4" align="left">EDC</oasis:entry>
         <oasis:entry colname="col5" align="left">EDML</oasis:entry>
         <oasis:entry colname="col6" align="left">TALDICE</oasis:entry>
         <oasis:entry colname="col7" align="left">NGRIP</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Latitude (°)</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">77.7598</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">78.4642</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4" align="left"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.1000</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5" align="left"><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.0019</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6" align="left"><inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">72.8302</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7" align="left">75.1000</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Longitude (°)</oasis:entry>
         <oasis:entry colname="col2" align="left">161.7212<sup>b</sup></oasis:entry>
         <oasis:entry colname="col3" align="left">106.8370</oasis:entry>
         <oasis:entry colname="col4" align="left">123.3326</oasis:entry>
         <oasis:entry colname="col5" align="left">0.0663</oasis:entry>
         <oasis:entry colname="col6" align="left">159.2004</oasis:entry>
         <oasis:entry colname="col7" align="left"><inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">42.32</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"><uri>https://add.scar.org/</uri> (last access: 18 May 2026)</oasis:entry>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry colname="col3" align="left"/>
         <oasis:entry colname="col4" align="left"/>
         <oasis:entry colname="col5" align="left"/>
         <oasis:entry colname="col6" align="left"/>
         <oasis:entry colname="col7" align="left"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Elevation (MSL)  (<uri>https://add.scar.org/</uri>)</oasis:entry>
         <oasis:entry colname="col2" align="left">580</oasis:entry>
         <oasis:entry colname="col3" align="left">3488</oasis:entry>
         <oasis:entry colname="col4" align="left">3233</oasis:entry>
         <oasis:entry colname="col5" align="left">2892</oasis:entry>
         <oasis:entry colname="col6" align="left">2320<sup>c</sup></oasis:entry>
         <oasis:entry colname="col7" align="left">2917</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Accumulation rate<sup>∗∗,a</sup> in ice equivalent per year (cm)</oasis:entry>
         <oasis:entry colname="col2" align="left">0.8<sup>b</sup></oasis:entry>
         <oasis:entry colname="col3" align="left">1.2</oasis:entry>
         <oasis:entry colname="col4" align="left">1.4</oasis:entry>
         <oasis:entry colname="col5" align="left">3.7</oasis:entry>
         <oasis:entry colname="col6" align="left">4.5</oasis:entry>
         <oasis:entry colname="col7" align="left">6.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Age maximum<sup>a</sup> (ka)</oasis:entry>
         <oasis:entry colname="col2" align="left">150</oasis:entry>
         <oasis:entry colname="col3" align="left">408</oasis:entry>
         <oasis:entry colname="col4" align="left">813</oasis:entry>
         <oasis:entry colname="col5" align="left">145</oasis:entry>
         <oasis:entry colname="col6" align="left">343<sup>d</sup></oasis:entry>
         <oasis:entry colname="col7" align="left">125</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Annual mean snow surface temperature<sup>∗∗</sup>  (<inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">46</mml:mn><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">66</mml:mn><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4" align="left"><inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">60</mml:mn><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5" align="left"><inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">53</mml:mn><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6" align="left"><inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">44</mml:mn><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7" align="left"><inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">46</mml:mn><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Depth where the reaction is finished (no additional N<sub>2</sub>O production below this depth) (m)</oasis:entry>
         <oasis:entry colname="col2" align="left">–</oasis:entry>
         <oasis:entry colname="col3" align="left">300</oasis:entry>
         <oasis:entry colname="col4" align="left">400</oasis:entry>
         <oasis:entry colname="col5" align="left">770</oasis:entry>
         <oasis:entry colname="col6" align="left">750</oasis:entry>
         <oasis:entry colname="col7" align="left">1600</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Temperature range of the ice where the production occurred (bore hole temperature) (<inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2" align="left">–</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">56.6</mml:mn></mml:mrow></mml:math></inline-formula>– <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">55.2</mml:mn><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4" align="left"><inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">53.6</mml:mn></mml:mrow></mml:math></inline-formula>– <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">51.6</mml:mn><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5" align="left"><inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">40</mml:mn><mml:mi mathvariant="normal">i</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6" align="left">–</oasis:entry>
         <oasis:entry colname="col7" align="left"><inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula>– <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">32</mml:mn><mml:mi mathvariant="normal">j</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Ice age – Gas age difference (<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>age</mml:mtext><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo><mml:mo>,</mml:mo><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (yr)</oasis:entry>
         <oasis:entry colname="col2" align="left">3350<sup>b</sup></oasis:entry>
         <oasis:entry colname="col3" align="left">5170</oasis:entry>
         <oasis:entry colname="col4" align="left">3960</oasis:entry>
         <oasis:entry colname="col5" align="left">1590</oasis:entry>
         <oasis:entry colname="col6" align="left">1000</oasis:entry>
         <oasis:entry colname="col7" align="left">890</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Air lock-in depth<sup>a</sup> (m)</oasis:entry>
         <oasis:entry colname="col2" align="left">29<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col3" align="left">94</oasis:entry>
         <oasis:entry colname="col4" align="left">83</oasis:entry>
         <oasis:entry colname="col5" align="left">84</oasis:entry>
         <oasis:entry colname="col6" align="left">70</oasis:entry>
         <oasis:entry colname="col7" align="left">79</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentration<sup>∗∗</sup> (<inline-formula><mml:math id="M238" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) measured by continuous flow analysis (CFA)<sup>k</sup></oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mn mathvariant="normal">21</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">15</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left">–</oasis:entry>
         <oasis:entry colname="col4" align="left"><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mn mathvariant="normal">35</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">21</mml:mn><mml:mi mathvariant="normal">l</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5" align="left"><inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mn mathvariant="normal">47</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">37</mml:mn><mml:mi mathvariant="normal">m</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6" align="left"><inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mn mathvariant="normal">16</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">9</mml:mn><mml:mi mathvariant="normal">n</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7" align="left"><inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mn mathvariant="normal">292</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">187</mml:mn><mml:mi mathvariant="normal">o</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Fe concentration<sup>∗∗</sup> (<inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)  <italic>[measurement technique]</italic>  <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2" align="left">–</oasis:entry>
         <oasis:entry colname="col3" align="left">–</oasis:entry>
         <oasis:entry colname="col4" align="left"><inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:msup><mml:mn mathvariant="normal">0.5</mml:mn><mml:mi mathvariant="normal">p</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> <italic>[CFA]</italic> <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:msup><mml:mn mathvariant="normal">13</mml:mn><mml:mi mathvariant="normal">p</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> <italic>[ICP-SFMS]</italic></oasis:entry>
         <oasis:entry colname="col5" align="left">–</oasis:entry>
         <oasis:entry colname="col6" align="left"><inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:msup><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="normal">q</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> <italic>[CFA]</italic> <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:msup><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">q</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> <italic>[CFA]</italic> <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">q</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> <italic>[CFA]</italic></oasis:entry>
         <oasis:entry colname="col7" align="left">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Dominant source of dust</oasis:entry>
         <oasis:entry colname="col2" align="left">Southern South America (SSA)<sup>r</sup></oasis:entry>
         <oasis:entry colname="col3" align="left">SSA<sup>s</sup></oasis:entry>
         <oasis:entry colname="col4" align="left">SSA<sup>t</sup></oasis:entry>
         <oasis:entry colname="col5" align="left">SSA<sup>t</sup></oasis:entry>
         <oasis:entry colname="col6" align="left">SSA<sup>u</sup></oasis:entry>
         <oasis:entry colname="col7" align="left">East Asian deserts<sup>v</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e2581"><sup>∗</sup> special case: horizontal core. LGM mean snow surface temperature estimated based on <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) data. LGM lock-in depth calculated using the Herron-Langway firn model with delta age and temperature inputs for the TG accumulation zone near Taylor Dome (Herron and Langway, 1980).
<sup>∗∗</sup> averaged over the period 15–30 ka.
<sup>a</sup> Bouchet et al. (2023), <sup>b</sup> Baggenstos et al. (2018), <sup>c</sup> Buiron et al. (2011), <sup>d</sup> Crotti et al. (2021), <sup>e</sup> Markle and Steig (2022), <sup>f</sup> Kindler et al. (2014), <sup>g</sup> Salamatin et al. (1994), <sup>h</sup> Ritz et al. (1982), <sup>i</sup> Wilhelms et al. (2007), <sup>j</sup> Tarasov and Peltier (2003), <sup>k</sup> Röthlisberger et al. (2000b), <sup>l</sup> Lambert et al. (2012), <sup>m</sup> Fischer et al. (2007), <sup>n</sup> Schüpbach et al. (2014), <sup>o</sup> Bigler (2004), <sup>p</sup> Traversi et al. (2004), <sup>q</sup> Spolaor et al. (2013), <sup>r</sup> Aarons et al. (2017), <sup>s</sup> Delmonte et al. (2004), <sup>t</sup> Marino et al. (2009), <sup>u</sup> Delmonte et al. (2010), <sup>v</sup> Ruth et al. (2003).</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Samples and Methods</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Ice core samples</title>
      <p id="d2e3925">To gain a comprehensive understanding of the <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production process(es) in diverse environmental settings, we analyzed ice core samples from different sites with different characteristics: variable dust contents, variable dust chemical compositions, variable snow accumulation rates and therefore isotopic signatures of <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and variable drilling site temperatures. These characteristics are reported in Table 1. Calcium (<inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) concentrations are used as a proxy for dust content because they have been found to be correlated with mineral dust concentrations (Ruth et al., 2002). Figure 2 shows the location of the drilling sites.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e3971">Location of the ice core drilling sites presented in this study. Maps created using the Quantarctica (Matsuoka et al., 2018) and QGreenland (Moon et al., 2023) QGIS data packages.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f02.png"/>

        </fig>

      <p id="d2e3980">We analyzed samples from five Antarctic ice cores: the Talos Dome Ice Core (TALDICE), the European Project for Ice Coring in Antarctica (EPICA) Dome C core (EDC), the EPICA Dronning Maud Land core (EDML), the Vostok ice core, and the main transect of the Taylor Glacier (TG) blue ice area. Additionally, we analyzed samples from one Greenland ice core, the North Greenland Ice Core Project ice core (NGRIP). The TALDICE ice core was selected for its low dust content (and expected low degree of in situ <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) compared to other Antarctic ice cores, the EDC and Vostok ice cores for their low snow accumulation rate, the EDML ice core for its relatively higher snow accumulation rate. The NGRIP ice core was analyzed to compare the isotopic signature of in situ <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in Greenland and Antarctic ice.</p>
      <p id="d2e4010">We measured the stable isotopic composition (<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) of <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the TALDICE, EDC, EDML, Vostok, TG and NGRIP ice cores, and the stable isotopic composition (<inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) of <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in all samples except NGRIP. We also carried out position-specific isotope analysis of the central (<inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>) and terminal (<inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>) nitrogen atoms in <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the Vostok and TG ice cores.</p>
      <p id="d2e4153">The samples date from either the Last Glacial Maximum (LGM) and glacial-interglacial transition (14 to 29 ka), Marine Isotope Stage 4 (MIS4, 57 to 71 ka), or Marine Isotope Stage 6 (MIS6, 130 to 191 ka), which are all dust-rich glacial periods and are therefore prone to in situ production of <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. We selected samples younger than 150 ka because the <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> atmospheric baseline recorded in the dust-poor TALDICE ice core and used in our mass balance approach (see Sect. 3.2.2) does not extend to older periods.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title><inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> analysis</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Measurement of <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio and isotopic composition</title>
      <p id="d2e4224">Prior to analysis, the samples were decontaminated by removing <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> mm of the outer surface potentially affected by diffusion of modern air and chemical contaminants. Scraping was performed with a precleaned knife and wearing polyethylene gloves to minimize <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> contamination (see Sect. 3.3).</p>
      <p id="d2e4251">The mixing ratio and bulk isotopic composition of <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> were measured at the University of Bern, Switzerland, using the method described in detail in Schmitt et al. (2014). Briefly, the air was extracted by melting the ice core samples with infrared light in a glass vessel under high vacuum. Water vapor was removed from the air sample with a cold trap, <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was removed using Ascarite™, and <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and other trace gases were separated from the bulk air components (<inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and Ar) using a cold trap filled with activated carbon. <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were then separated on a gas chromatography column, and <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> was analyzed with an IsoPrime isotope ratio mass spectrometer (IRMS). The results were converted to international isotope scales. Isotopic compositions are expressed in <inline-formula><mml:math id="M289" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> values where <inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>sample</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>reference</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M291" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> referring to <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> ratios. The international references are <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in air for nitrogen and Vienna Standard Mean Ocean Water (VSMOW) for oxygen. The analytical precision of <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio, <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values is 3 ppb, 0.3 ‰ and 0.4 ‰ respectively.</p>
      <p id="d2e4501">We analyzed the position-specific isotopic composition of <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> from ice core samples at Oregon State University following gas extraction, <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> purification, IRMS analysis, and data reduction methods described in detail in Menking et al. (2025). Briefly, the air was extracted by grating the ice core samples at <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> to open the enclosed air bubbles (Bauska et al., 2016), i.e., using a so-called dry extraction device, without melting the ice. <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> was purified and pre-concentrated using a series of progressively smaller-volume cold traps and gas chromatography separation of the trapped <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> from residual <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Isotopic measurements were performed using a Thermo Delta V Plus IRMS, where <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44, 45, and 46 and <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 30 and 31 were monitored simultaneously for <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> isotopes and <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> fragment (NO) isotopes, respectively. The position-specific isotopic composition of <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, i.e. <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> (central-position N atom), <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> (terminal-position N atom) and site preference (SP), is defined as:

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M312" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>SP</mml:mtext><mml:mo>=</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values were measured and the <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> and SP values were calculated using Eqs. (1) and (2), respectively. The precision of the measurement is 3 ppb for <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio, <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for SP, and <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Calculation of the mixing ratio and bulk isotopic composition of the in situ <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> fraction</title>
      <p id="d2e5008">The <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio and isotopic composition that we measured represent the total <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> extracted from the ice cores, i.e., a mixture of atmospheric <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> plus any in situ <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. For our study, we need to calculate the mixing ratio and isotopic composition of in situ <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> only. To calculate the in situ values from the measured values, we used the following mass balance approach for each sample:

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M333" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>in situ</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>meas</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>atm</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>in situ</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>meas</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>meas</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>atm</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>atm</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>in situ</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where [<inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>]<sub>meas</sub> is the <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio measured in the ice core sample, [<inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>]<sub>in situ</sub> is the mixing ratio of in situ <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in that sample, and [<inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>]<sub>atm</sub> is the true atmospheric mixing ratio of <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at the gas age of the sample; the same terminology applies for delta values.</p>
      <p id="d2e5325">One issue with this mass balance approach is the need to know [<inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>]<sub>atm</sub> and <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>atm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, given that most <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> records are affected by in situ production. We used the <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> record from the dust-poor TALDICE ice core, which is the best estimate of an atmospheric baseline. TALDICE is not significantly impacted by in situ <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production but is limited in time reconstruction (<inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula> ka). Low in situ contribution is supported by the observation that the TALDICE <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios during the dust-rich LGM and MIS4 periods generally align with the NGRIP <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios, after in situ <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> outliers are removed from the NGRIP record (Fig. A1 in Appendix A). Previous studies identified the high-resolution NGRIP record as representative of atmospheric <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> variations (Flückiger et al., 2004; Schilt et al., 2010a, 2013). As atmospheric <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios are globally homogeneous while in situ <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production is ice-core dependent, the agreement between the TALDICE and NGRIP records supports the atmospheric nature of the TALDICE record. This is particularly significant because the NGRIP and TALDICE ice cores, drilled in Greenland and Antarctica, respectively, have very different chemical compositions that would lead to different in situ production features. To associate each sample with the atmospheric values matching its gas age, we applied a cubic smoothing spline interpolation with a 2000 year smoothing window to the measured TALDICE data, which has a temporal resolution of approximately 300 years over the LGM and 600 years over MIS4.</p>
      <p id="d2e5490">We acknowledge that there could be a small in situ production of <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the TALDICE ice core, isotopically undetectable if the isotopic signature of in situ <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is close to the atmospheric one. We conducted a sensitivity study to evaluate the impact of this possibility (Figs. C1 and C2 in Appendix C). Assuming that <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production is proportional to dust content, we estimated the in situ <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios by multiplying the calcium concentrations – used as a dust proxy – by a constant <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production factor. These in situ <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios were subtracted from the TALDICE <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios to obtain a corrected record that was used in the mass balance approach as an atmospheric baseline. This approach assumes a constant total air content (TAC) across all samples. While variations in TAC affect the conversion from <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>-based <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> estimates (in <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) to mixing ratios (ppb), this effect is relatively minor (within <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> %) and does not dominate the overall uncertainty in our mass balance calculation. Our sensitivity study varied the production factor from 0 to 1 ppb of N<sub>2</sub>O per ng g<sup>−1</sup> of Ca<sup>2+</sup> (Figs. C1 and C2 in Appendix C). A production factor above 0.5 ppb-<inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M371" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>-<inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is unlikely, as it would result in significantly lower <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios in TALDICE compared to NGRIP. Increasing production factors in TALDICE result in isotopic signatures of in situ <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the other ice cores that are closer to atmospheric values. Importantly, assuming small production factors of 0.1 to 0.2 ppb-<inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>-<inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which represents the upper range of expected values for TALDICE, results in only minimal changes in regression slopes when comparing the isotopic compositions of in situ <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. Thus, we conclude that the interpretations that follow remain valid even if the assumption that TALDICE represents the true atmospheric <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> baseline is not entirely fulfilled.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Calculation of the position-specific isotopic composition of the in situ <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> fraction</title>
      <p id="d2e5851">We used the same mass balance approach as in Sect. 3.2.2 to calculate the in situ <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values in the Vostok and TG samples, with Eqs. (3) and (4) in which the <inline-formula><mml:math id="M383" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> values are substituted with <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>. The in situ <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values were calculated with Eq. (1) (<inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msubsup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>in situ</mml:mtext><mml:mi mathvariant="italic">β</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk in situ</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msubsup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>in situ</mml:mtext><mml:mi mathvariant="italic">α</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) and in situ SP values with Eq. (2) (<inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msub><mml:mtext>SP</mml:mtext><mml:mtext>in situ</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msubsup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>in situ</mml:mtext><mml:mi mathvariant="italic">α</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msubsup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>in situ</mml:mtext><mml:mi mathvariant="italic">β</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>). One problem with this approach is that the TALDICE record does not include position-specific information. As the atmospheric reference <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msubsup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>atm</mml:mtext><mml:mi mathvariant="italic">α</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, we therefore used the average of the values measured by Menking et al. (2025) in samples from the TG ice core during the period 16 to 21 ka, as these values vary little over time during the last glacial period and because these TG samples were shown to be unaffected by in situ production by comparison with TALDICE and NGRIP.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <label>3.2.4</label><title>Uncertainties</title>
      <p id="d2e6040">There are several sources of error in our approach, including measurement uncertainties in <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios and isotopic composition, uncertainties in the TALDICE <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> spline interpolation, uncertainties in gas-age estimates – which in turn impact the chronological alignment between ice cores – and potential small in situ production in TALDICE. We used a Monte Carlo method for error propagation by running 1000 simulations to determine the mixing ratio and isotopic composition of in situ <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. We varied the variables of Eqs. (3) and (4) within their uncertainty ranges (Table B1 in Appendix B). The derived uncertainties were calculated as the standard deviation of the results of the 1000 simulations.</p>
      <p id="d2e6082">As expected, the uncertainty increases for low in situ <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios (see Eq. 4). To avoid too large uncertainties, we excluded samples with calculated in situ <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios below 20 ppb. This threshold was chosen because a large part of the dataset exhibits in situ mixing ratios below 50 ppb. Applying a higher cutoff would remove a substantial number of samples and significantly limit our ability to investigate in situ <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production processes. For samples with in situ <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios close to 20 ppb, the propagated uncertainties are large (up to several tens of per mil). Nevertheless, these samples were included in this study because in situ <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in ice, although small in absolute mixing ratio, can significantly alter the measured <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> isotopic composition (Fig. 3a) and these isotopic deviations should be documented.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e6166">Nitrogen and oxygen isotopic composition of total <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> measured in samples from different ice cores <bold>(a)</bold> and nitrogen and oxygen isotopic composition calculated for in situ <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the same samples <bold>(b)</bold>. The mixing ratio of in situ <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is represented by the size of the markers. The grey cross represents the average isotopic signature of the TALDICE samples and reflects the isotopic composition of atmospheric <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. In panel <bold>(b)</bold>, one TALDICE sample shows in situ <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production associated with an exceptionally high dust peak (see text). Note that the scale of the axes is different for panel <bold>(a)</bold> and <bold>(b)</bold>.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f03.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Measurement of <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentration and isotopic composition</title>
      <p id="d2e6280">After wet extraction and dry extraction of <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at the University of Bern and Oregon State University, respectively, the meltwater and melted ice chips from ice-core samples were used for nitrate isotope analysis. To avoid any chemical reaction and hence production or consumption of <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, the collected samples were refrozen and stored at <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e6330">To assess the potential contamination impact of the gas extraction techniques on <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, we measured the concentration and isotopic composition of <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in ultrapure ice samples spiked with a controlled amount of <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> isotope standard after gas extraction as described above. Additionally, we compared the concentration and isotopic composition of <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in duplicate ice core samples, one analyzed directly and the other analyzed after gas extraction (Table D1 in Appendix D). These tests show that the gas extraction techniques do not lead to measurable contamination, loss, or <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> isotopic fractionation of <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the collected samples. Although <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) values are slightly affected, the impact is negligible relative to their typical variability observed in ice cores.</p>
      <p id="d2e6448">The method used for nitrate isotope analysis is described in detail in previous publications (Erbland et al., 2013; Kaiser et al., 2007; Morin et al., 2009). Briefly, the <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentration was measured by ion chromatography using a Dionex Integrion system; <inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the samples was preconcentrated using an AG 1-X8 anion exchange resin in the chloride form. After the sample was drained and the <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ions were quantitatively trapped onto the resin, <inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> was eluted from the resin with 6 mL of 1 M NaCl solution in three portions of 2 mL. <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> was then converted to <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> through bacterial denitrification, using a strain of <italic>Pseudomonas aureofaciens</italic>. The bacteria were injected in 2 mL aliquots into 20 mL headspace vials. To remove air and dissolved <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, the vials were purged for 3 h with pure helium. The concentrated <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> samples were added to the vials in volumes adjusted to obtain 100 nmol of <inline-formula><mml:math id="M424" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and were allowed to denitrify overnight. For isotope analysis, a continuous He flow was used to transfer the produced <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> from the headspace vial and carry it through a purification line. The <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> sample was passed through columns of perchlorate, Ascarite, and Supelco Purge Trap type F to remove water, <inline-formula><mml:math id="M427" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and VOCs, respectively. Following this purification step, the purified <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> was decomposed to <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on a gold catalyst kept at 850 <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and the isotopic compositions of the obtained <inline-formula><mml:math id="M432" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were measured with a Thermo Fischer MAT 253 IRMS. The results were corrected for blank contribution and calibrated on international scales following the procedure described in Erbland et al. (2013). Measurement errors are <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Bulk isotopic signatures of total <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and in situ <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e6777">Figure 3a illustrates the measured isotopic signatures of total <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> from various ice cores. The TALDICE data, representing atmospheric <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, clusters around a mean <inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value of <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">11.3</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M444" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7 ‰ (1<inline-formula><mml:math id="M445" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> standard deviation) and a mean <inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> value of <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">45.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M448" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9 ‰. These data cover the last 140 kyr interval and their standard deviation is only about two times the measurement error, hence the detectable temporal variability of the isotopic signature of <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is small. In contrast, other ice cores show wider ranges, both in <inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>: the deviations from the atmospheric range and relationship with elevated <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios indicate that these samples are substantially affected by in situ production.</p>
      <p id="d2e6941">Importantly, the magnitude and direction of deviations from the atmospheric signature are ice core specific. Because the in situ <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> fraction shapes the observed isotopic deviations, we closely examine the isotopic signature of in situ <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in Fig. 3b, which presents the results of our mass balance calculation. Individual samples in the NGRIP ice core in Greenland show the highest in situ <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production, up to 380 ppb, while Antarctic ice cores like Vostok, EDML, EDC, and TG show in situ production in the order of 40 ppb, which corresponds to 20 % of the atmospheric <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios during glacial periods. The isotopic signature of in situ <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is highly variable, ranging from <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">37</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">189</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and from <inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">41</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. Not only does in situ <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> have a distinct isotopic signature in each ice core, it also exhibits a variable isotopic signature within a given ice core. This suggests that the isotopic signature of the precursor(s) varies. Interestingly, all the ice cores except EDML show a negative correlation between <inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) (Fig. 3b) while EDML shows a positive correlation.</p>
      <p id="d2e7172">While we used the TALDICE <inline-formula><mml:math id="M471" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> record to represent atmospheric <inline-formula><mml:math id="M472" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, it is important to note that one sample within this ice core record is affected by in situ production (Fig. 3b). By comparison with the TALDICE spline, this particular sample contains 31 ppb of in situ <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> with a <inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M475" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) value of <inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and a <inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) value of <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">67</mml:mn></mml:mrow></mml:math></inline-formula> ‰. Despite this anomaly, there are compelling reasons to use TALDICE as a reliable record for atmospheric values. Firstly, only one sample out of the 192 measured was found to be affected by in situ production, indicating that such occurrences are rare. Indeed, this sample is characterized by an exceptionally high dust content of 188 <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M483" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which is 280 % higher than typical dust peaks observed in the TALDICE ice core during the LGM. Secondly, the amount of in situ <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the affected sample is relatively small compared to this high dust content: it corresponds to a production factor of 0.16 ppb of <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> per <inline-formula><mml:math id="M486" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which has little influence on our results, as shown by our sensitivity study (Fig. C2 in Appendix C).</p>
      <p id="d2e7400">We stress that the mass balance approach used to calculate the isotopic signature of in situ <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> leads to substantial uncertainties due to error propagation from atmospheric <inline-formula><mml:math id="M489" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> estimates and analytical precision. These uncertainties are not shown in Fig. 3 for readability but are reported in Figs. 4–7 and are explicitly taken into account in the following comparisons between <inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M491" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), including the regression analyses.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Comparison of isotopic compositions of <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and in situ <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e7530">In this section, we compare the measured isotopic composition of <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and the calculated isotopic composition of in situ <inline-formula><mml:math id="M498" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> to test our hypothesis that <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is a precursor for in situ produced <inline-formula><mml:math id="M500" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. The analyses come from the same ice samples: <inline-formula><mml:math id="M501" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> was measured in the extracted air and subsequently used to calculate the in situ <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> isotopic signature, while <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> was measured in the sample meltwater collected after air extraction. To compare the data, we used the regression method by York et al. (2004) that accounts for errors in both the <inline-formula><mml:math id="M504" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M505" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> variables and their potential correlation.</p>
      <p id="d2e7642">Figure 4 shows the bulk nitrogen isotopic composition of in situ <inline-formula><mml:math id="M506" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and the nitrogen isotopic composition of <inline-formula><mml:math id="M507" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> measured in the EDML, EDC, TG and Vostok ice cores. There is a clear positive correlation between <inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M509" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M512" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) with a <inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> value of 0.86 which points to nitrate being a key precursor for the in situ produced <inline-formula><mml:math id="M514" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. However, the slope is significantly different from 1, and in fact close to one half (0.53 <inline-formula><mml:math id="M515" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02), i.e., roughly one of the two N atoms of the in situ produced <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> originates from <inline-formula><mml:math id="M517" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e7801">Relation between <inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M519" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). The dashed line represents the linear regression.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f04.png"/>

        </fig>

      <p id="d2e7879">Figure 5 shows the comparison between the <inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M524" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and in situ <inline-formula><mml:math id="M525" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. There is no correlation between these two variables across or within sites, and no general trend towards <inline-formula><mml:math id="M526" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> enrichment or depletion of in situ <inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> relative to <inline-formula><mml:math id="M528" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. At Vostok and EDC, <inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) values are around <inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M532" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 ‰ (1<inline-formula><mml:math id="M533" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), while <inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M535" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values are approximately <inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">31</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M538" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17 ‰. At TG, <inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M540" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) values are higher at <inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">68</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M542" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4 ‰, and <inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M544" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values reach <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">93</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M547" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11 ‰. At EDML, <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M549" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) values are the highest at <inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">87</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M551" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 ‰, whereas <inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M553" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values are the lowest, at <inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M556" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11 ‰.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e8274">Relation between <inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M558" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M561" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f05.png"/>

        </fig>

      <p id="d2e8348">The very high <inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M563" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values observed at TG may appear anomalous compared to other sites, but we are confident that they do not result from a bias in the measurements or calculation. Even without applying the mass balance calculation, the measured <inline-formula><mml:math id="M565" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at TG already shows <inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values higher than the atmospheric signature in samples affected by in situ production (Fig. 3a). This indicates that the in situ <inline-formula><mml:math id="M567" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at TG is indeed enriched in <inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. A similar enrichment is observed in the NGRIP ice core. Importantly, these elevated <inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values were measured using two different extraction methods and two different IRMS instruments at the University of Bern and Oregon State University, which strengthens our confidence that the signal is robust and not an artefact of a specific analytical setup.</p>
      <p id="d2e8459">In summary, despite the clear correlation between <inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M571" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M574" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) values suggesting <inline-formula><mml:math id="M575" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> as a precursor, the incomplete transfer of both its nitrogen and oxygen isotopic compositions to in situ <inline-formula><mml:math id="M576" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> indicates that <inline-formula><mml:math id="M577" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> alone does not fully account for the nitrogen and oxygen sources of in situ <inline-formula><mml:math id="M578" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. To gain deeper insights into the reaction mechanisms, we turn our focus to the position-specific isotopic composition of in situ <inline-formula><mml:math id="M579" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Site preference of <inline-formula><mml:math id="M580" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> in in situ <inline-formula><mml:math id="M581" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e8631">Figure 6 shows clear correlations of <inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M583" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, and SP values versus <inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of total <inline-formula><mml:math id="M585" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (a, c) and in-situ <inline-formula><mml:math id="M586" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (b, d) measured in the TG and Vostok ice cores.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e8716">Position-specific isotopic composition measured for total (atmospheric + in situ) <inline-formula><mml:math id="M587" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and calculated for in situ <inline-formula><mml:math id="M588" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the Vostok and TG ice cores. The panels show the relation between <inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of total <inline-formula><mml:math id="M592" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (atmospheric + in situ) <bold>(a)</bold> and in situ <inline-formula><mml:math id="M593" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>, and between site preference (SP) and <inline-formula><mml:math id="M594" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of total <inline-formula><mml:math id="M595" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (atmospheric + in situ) <bold>(c)</bold> and in situ <inline-formula><mml:math id="M596" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(d)</bold>. The size of the markers on panel <bold>(b)</bold> and <bold>(d)</bold> are scaled to the amount of in situ <inline-formula><mml:math id="M597" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the sample. In panel <bold>(b)</bold>, TG samples are in the bottom-left corner. The crosses represent the unaffected atmospheric values measured by Menking et al. (2025) in dust-poor Taylor Glacier samples from the period 16 to 21 ka.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f06.png"/>

        </fig>

      <p id="d2e8912">In situ <inline-formula><mml:math id="M598" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at Vostok exhibits high <inline-formula><mml:math id="M599" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values from <inline-formula><mml:math id="M600" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M601" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">152</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and much lower <inline-formula><mml:math id="M602" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values from <inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M604" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">43</mml:mn></mml:mrow></mml:math></inline-formula> ‰. In contrast, in situ <inline-formula><mml:math id="M605" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at TG has low <inline-formula><mml:math id="M606" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values from <inline-formula><mml:math id="M607" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">39</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and low <inline-formula><mml:math id="M609" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values from <inline-formula><mml:math id="M610" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">34</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M611" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> ‰, with <inline-formula><mml:math id="M612" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> being lower than the <inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values. The Vostok and TG samples exhibit very different SP(<inline-formula><mml:math id="M614" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values; <inline-formula><mml:math id="M616" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">59</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">122</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M619" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> ‰, respectively. These values differ significantly from those of atmospheric <inline-formula><mml:math id="M620" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> which range in SP from <inline-formula><mml:math id="M621" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M622" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> ‰ across last glacial termination, as reconstructed from dust-poor sections of TG ice (Menking et al., 2025). The SP(<inline-formula><mml:math id="M623" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values at Vostok are very high and variable, and are outside the range of typical reported values from <inline-formula><mml:math id="M625" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M626" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">37</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (Toyoda et al., 2017; Zhu-Barker et al., 2015). Note that the SP(<inline-formula><mml:math id="M627" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values at Vostok seem to be correlated to the <inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M630" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values with a slope of 1.7 <inline-formula><mml:math id="M632" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7, whereas SP values in field and culture studies have been shown to be generally independent of <inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Frame and Casciotti, 2010; Sutka et al., 2003, 2006; Toyoda et al., 2005). For TG, there is too little data to identify a potential correlation.</p>
      <p id="d2e9355">Interestingly, the SP(<inline-formula><mml:math id="M634" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values at TG are negative. Although the low amounts of in situ <inline-formula><mml:math id="M636" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at TG result in large uncertainties in the calculated in situ signatures, the low SP signal is already visible in the measured (total) <inline-formula><mml:math id="M637" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> data (Fig. 6c), independent of any mass-balance calculation. While Vostok samples affected by in situ production show total SP values higher than the atmospheric signature, TG samples show the opposite pattern, with total SP values lower than the atmospheric signature. This opposite deviation indicates that the low SP values observed at TG reflect a real feature of in situ <inline-formula><mml:math id="M638" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production rather than an artefact of the calculation.</p>
      <p id="d2e9418">In Fig. 7, the <inline-formula><mml:math id="M639" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values of in situ <inline-formula><mml:math id="M641" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> are compared with <inline-formula><mml:math id="M642" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M643" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> measured in the TG and Vostok ice cores on the same samples. When considering both TG and Vostok samples, <inline-formula><mml:math id="M644" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M645" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) shows a strong positive correlation with <inline-formula><mml:math id="M647" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M648" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M649" display="inline"><mml:mrow><mml:mtext>slope</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M650" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1, <inline-formula><mml:math id="M651" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.97</mml:mn></mml:mrow></mml:math></inline-formula>). This relationship also holds when considering the Vostok data alone, indicating that the correlation is robust even within a single ice core. In contrast, <inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M653" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) does not show a statistically significant correlation with <inline-formula><mml:math id="M655" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M656" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) for either site.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e9674">Relation between <inline-formula><mml:math id="M657" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M658" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M660" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M661" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) <bold>(a)</bold> and between <inline-formula><mml:math id="M662" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M663" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M665" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M666" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) <bold>(b)</bold>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f07.png"/>

        </fig>


</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Production of hybrid <inline-formula><mml:math id="M667" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e9858">The strong correlation between <inline-formula><mml:math id="M668" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M669" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M671" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M672" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) indicates that <inline-formula><mml:math id="M673" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is involved in the in situ <inline-formula><mml:math id="M674" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> formation. However, the slope is (0.53 <inline-formula><mml:math id="M675" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02) (Fig. 4), whereas a slope of 1 would be expected if both nitrogen atoms in <inline-formula><mml:math id="M676" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> originate from <inline-formula><mml:math id="M677" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the ice. Therefore, our results suggest that in situ <inline-formula><mml:math id="M678" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is not derived from <inline-formula><mml:math id="M679" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> alone, and does not originate from a single precursor (we use the term “single-precursor <inline-formula><mml:math id="M680" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>” hereafter, see Fig. 9). The strong correlation of <inline-formula><mml:math id="M681" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M682" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M684" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M685" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) with a slope of 1.0 <inline-formula><mml:math id="M686" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 (Fig. 7a), implies that the central N atom in <inline-formula><mml:math id="M687" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (N<sup><italic>α</italic></sup>), originates exclusively from <inline-formula><mml:math id="M689" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> archived in the ice. At the same time, the <inline-formula><mml:math id="M690" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M691" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values are not correlated to <inline-formula><mml:math id="M693" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M694" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), indicating that the terminal N atom (N<sup><italic>β</italic></sup>) originates from a different nitrogen source. The slope of the linear regression between SP(<inline-formula><mml:math id="M696" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M698" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M699" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) (1.7 <inline-formula><mml:math id="M701" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7) is consistent, within uncertainty, with transfer of a variable N isotopic composition from <inline-formula><mml:math id="M702" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to N<sup><italic>α</italic></sup> and transfer of a constant N isotopic composition from another precursor to N<sup><italic>β</italic></sup>. Indeed, by substitution of Eqs. (1) and (2), one would expect <inline-formula><mml:math id="M705" display="inline"><mml:mrow><mml:mtext>SP</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M706" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> is relatively constant within each ice core, although its specific value differs between cores (Fig. 7b). Our results suggest that the <inline-formula><mml:math id="M707" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> produced in situ is thus “hybrid <inline-formula><mml:math id="M708" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>”, defined by its two nitrogen atoms originating from two distinct nitrogen precursors, one of them being <inline-formula><mml:math id="M709" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in ice (Fig. 9).</p>
      <p id="d2e10425">To assess whether microbial <inline-formula><mml:math id="M710" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reduction to <inline-formula><mml:math id="M711" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> could provide an alternative explanation for the observed isotopic patterns of in situ <inline-formula><mml:math id="M712" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> – such as high SP values correlated with <inline-formula><mml:math id="M713" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> or high <inline-formula><mml:math id="M714" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values – we examined the relationship between SP and <inline-formula><mml:math id="M715" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> in our samples (Fig. 8). Previous studies showed that <inline-formula><mml:math id="M716" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reduction produces a characteristic increase in both SP and <inline-formula><mml:math id="M717" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> in the residual <inline-formula><mml:math id="M718" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, with data falling along a “reduction line” defined by the ratio of the fractionation factors (median <inline-formula><mml:math id="M719" display="inline"><mml:mrow><mml:mtext>slope</mml:mtext><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.36</mml:mn></mml:mrow></mml:math></inline-formula>; Lewicka-Szczebak et al., 2015; Yu et al., 2020). In contrast, in both the Vostok and Taylor Glacier ice cores, SP increases while <inline-formula><mml:math id="M720" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> decreases, and the data clearly do not fall along the expected reduction line (Fig. 8). This dual isotope plot for in situ <inline-formula><mml:math id="M721" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is therefore incompatible with <inline-formula><mml:math id="M722" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reduction. We note that published reduction lines were derived from studies conducted at warmer temperatures than those in ice cores (Yu et al., 2020). Very low temperatures could modify the fractionation factors; however, colder conditions would be expected to increase the fractionation for both SP and <inline-formula><mml:math id="M723" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, still resulting in a positive slope. The mismatch between our data and the reduction line therefore remains regardless of potential temperature effects. A second line of evidence comes from the correlation between <inline-formula><mml:math id="M724" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M725" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M726" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M727" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>), which shows a slope of <inline-formula><mml:math id="M729" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>. Because <inline-formula><mml:math id="M730" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reduction preferentially breaks N-O bonds of light isotopes, the residual <inline-formula><mml:math id="M731" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> becomes enriched in <inline-formula><mml:math id="M732" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> at the <inline-formula><mml:math id="M733" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> position, resulting in a steeper slope than observed here. Taken together, these observations show that microbial <inline-formula><mml:math id="M734" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reduction cannot explain the isotopic signatures in the ice cores, and that <inline-formula><mml:math id="M735" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> consumption does not occur in the ice. The isotopic signature of in situ <inline-formula><mml:math id="M736" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is therefore explained by hybrid <inline-formula><mml:math id="M737" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production.</p>

      <fig id="F8"><label>Figure 8</label><caption><p id="d2e10803">Dual isotope plot of <inline-formula><mml:math id="M738" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and site preference (SP) values of in situ <inline-formula><mml:math id="M739" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Theoretical <inline-formula><mml:math id="M740" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reduction lines (thin black lines) are shown for comparison, with intercepts calculated assuming that samples with the lowest SP values are unaffected by <inline-formula><mml:math id="M741" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reduction. The slope of the reduction line corresponds to the median of published fractionation ratios for SP versus <inline-formula><mml:math id="M742" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> during <inline-formula><mml:math id="M743" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reduction, as reported by Yu et al. (2020).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f08.png"/>

        </fig>

<sec id="Ch1.S5.SS1.SSS1">
  <label>5.1.1</label><title>Potential reaction pathways</title>
      <p id="d2e10903">A large number of studies have reported the production of hybrid <inline-formula><mml:math id="M744" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> through various reaction pathways, including N-nitrosation reactions (Spott et al., 2011) and the decomposition of ammonium nitrate (<inline-formula><mml:math id="M745" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (Rubasinghege et al., 2011). N-nitrosation reactions generally involve the replacement of a hydrogen atom on a nucleophilic precursor by a nitroso (<inline-formula><mml:math id="M746" display="inline"><mml:mrow class="chem"><mml:mo>-</mml:mo><mml:mi mathvariant="normal">N</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) group (Spott et al., 2011). Production of <inline-formula><mml:math id="M747" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> occurs during N-nitrosation under acidic conditions, when the nitrosating agent nitrite (<inline-formula><mml:math id="M748" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) reacts with the nucleophile hydroxylamine (<inline-formula><mml:math id="M749" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>) to form nitroxyl (HNO). Two HNO molecules then dimerize to produce nitrous oxide (<inline-formula><mml:math id="M750" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) and water (Spott et al., 2011). This reaction can be abiotic or mediated by bacteria, archaea, or fungi. Other nucleophilic species can react with <inline-formula><mml:math id="M751" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to produce <inline-formula><mml:math id="M752" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, such as azide (<inline-formula><mml:math id="M753" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), ammonium (<inline-formula><mml:math id="M754" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), hydrazine (<inline-formula><mml:math id="M755" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), or salicylhydroxamic acid (<inline-formula><mml:math id="M756" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (Spott et al., 2011).</p>
      <p id="d2e11096">Another pathway for hybrid <inline-formula><mml:math id="M757" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production is the decomposition of ammonium nitrate (<inline-formula><mml:math id="M758" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), either by thermal decomposition or by a light-initiated reaction involving the photoreduction of <inline-formula><mml:math id="M759" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M760" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> coupled with the oxidation of <inline-formula><mml:math id="M761" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M762" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which react with each other to produce <inline-formula><mml:math id="M763" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Rubasinghege et al., 2011). However, several arguments challenge the feasibility of the <inline-formula><mml:math id="M764" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decomposition in ice. Firstly, the ice environment lacks sufficient heat for thermal decomposition, and light penetration is minimal within the deep firn and ice, raising questions about the availability of sufficient energy for these reactions. The high activation energy of the decomposition would make the reaction very slow at the ice temperature. Additionally, if <inline-formula><mml:math id="M765" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> were produced from <inline-formula><mml:math id="M766" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the oxygen atom in <inline-formula><mml:math id="M767" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> would originate from <inline-formula><mml:math id="M768" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and inherit its isotopic composition, yet the <inline-formula><mml:math id="M769" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values of in situ <inline-formula><mml:math id="M770" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> do not correlate with those of <inline-formula><mml:math id="M771" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 5). Finally, <inline-formula><mml:math id="M772" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M773" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> are present in dust-poor polar ice as well, where no in situ <inline-formula><mml:math id="M774" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production is observed, and similarly, there is not necessarily in situ <inline-formula><mml:math id="M775" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production everywhere in dust-rich ice from Greenland despite sufficient <inline-formula><mml:math id="M776" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M777" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. In our view, an N-nitrosation reaction is more likely than a <inline-formula><mml:math id="M778" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decomposition reaction for <inline-formula><mml:math id="M779" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in ice.</p>
</sec>
<sec id="Ch1.S5.SS1.SSS2">
  <label>5.1.2</label><title>Source of central nitrogen atom N<sup><italic>α</italic></sup></title>
      <p id="d2e11436">In the case of in situ <inline-formula><mml:math id="M781" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> produced by N-nitrosation, the central nitrogen atom (N<sup><italic>α</italic></sup>) may originate from <inline-formula><mml:math id="M783" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> after reduction of <inline-formula><mml:math id="M784" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. However, it is unlikely that this <inline-formula><mml:math id="M785" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> derives directly from <inline-formula><mml:math id="M786" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> photolysis in the near-surface snowpack. <inline-formula><mml:math id="M787" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> photolysis produces both gaseous <inline-formula><mml:math id="M788" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M789" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ion, with <inline-formula><mml:math id="M790" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> accounting for <inline-formula><mml:math id="M791" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % of the photolysis products (Meusinger et al., 2014; Warneck and Wurzinger, 1988). Photolysis occurs at the snow surface only, where sunlight penetrates and where air exchange with the atmosphere is still active. Any <inline-formula><mml:math id="M792" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> produced through photolysis-driven pathways in this zone would therefore be largely released to the atmosphere and not preserved in the ice core record. In addition, photolysis enriches the remaining <inline-formula><mml:math id="M793" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math id="M794" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> while producing <inline-formula><mml:math id="M795" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> that is depleted in <inline-formula><mml:math id="M796" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>, with its isotopic composition depending on the extent of photolysis. If photolysis-derived <inline-formula><mml:math id="M797" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were a precursor of in situ <inline-formula><mml:math id="M798" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, the <inline-formula><mml:math id="M799" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> signature of in situ <inline-formula><mml:math id="M800" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> would reflect both the initial <inline-formula><mml:math id="M801" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M802" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and the extent of photolysis, and would not be directly proportional to the <inline-formula><mml:math id="M803" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M804" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> archived in the ice. Instead, our data show a strong proportionality between <inline-formula><mml:math id="M805" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M806" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M807" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M808" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>), indicating that the <inline-formula><mml:math id="M810" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> precursor must form deeper in the ice from archived <inline-formula><mml:math id="M811" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> that already carries its final, post-photolysis isotopic signature, rather than from photolysis-derived <inline-formula><mml:math id="M812" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> produced in the surface snowpack. Therefore, the reduction of <inline-formula><mml:math id="M813" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M814" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> occurring within the ice requires a reducing agent. Such a reducing agent is likely associated with mineral dust, which is consistent with the observation that in situ <inline-formula><mml:math id="M815" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production occurs only in dust-rich ice. Iron II (<inline-formula><mml:math id="M816" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is likely involved in this reduction step (see Sect. 5.2).</p>
</sec>
<sec id="Ch1.S5.SS1.SSS3">
  <label>5.1.3</label><title>Source of terminal nitrogen atom N<sup><italic>β</italic></sup></title>
      <p id="d2e11946">Our work does not yet allow us to identify the nucleophilic precursor for N<sup><italic>β</italic></sup>, especially because the presence and concentrations of most N-bearing compounds in ice have not yet been investigated. Nevertheless, <inline-formula><mml:math id="M819" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> represents a potential candidate for supplying N<sup><italic>β</italic></sup> in the case of N-nitrosation reactions. Atmospheric <inline-formula><mml:math id="M821" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> exhibits <inline-formula><mml:math id="M822" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values ranging from <inline-formula><mml:math id="M823" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M824" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (Chen et al., 2022), rather similar to the <inline-formula><mml:math id="M825" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values of in situ <inline-formula><mml:math id="M826" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in Vostok and TG with average <inline-formula><mml:math id="M827" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M828" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M829" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> ‰, respectively. These site differences could be due to post-depositional processes altering the isotopic composition of <inline-formula><mml:math id="M830" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> differently at different drilling sites. The nitrogen isotopic composition of <inline-formula><mml:math id="M831" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> has been measured only in one alpine glacier ice core, with <inline-formula><mml:math id="M832" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values ranging from <inline-formula><mml:math id="M833" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M834" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for the years 2013–2017 (Lamothe et al., 2023). To further investigate this hypothesis, we suggest measuring the nitrogen isotopic composition of <inline-formula><mml:math id="M835" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in Antarctic ice cores, specifically from Vostok and Taylor Glacier, to compare with the <inline-formula><mml:math id="M836" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values of in situ <inline-formula><mml:math id="M837" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Limiting factor of the reaction</title>
      <p id="d2e12219">One key observation is that the elevated <inline-formula><mml:math id="M838" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios during glacial periods are of similar magnitude over the last 800 kyr in the EDC ice core with no increase with depth/age (Schilt et al., 2010b). This observation suggests that <inline-formula><mml:math id="M839" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in situ production does not increase further over time and is essentially finished at the LGM (20 to 26.5 ka). Therefore, we hypothesize a mechanism that is limited by the concentration or transport/diffusion of a reactant. The limiting factor cannot be <inline-formula><mml:math id="M840" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> as the concentrations remain high over time. Thus, it could be the precursor of the terminal N atom (N<sup><italic>β</italic></sup>) or the agent reducing <inline-formula><mml:math id="M842" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M843" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e12300">Indeed, because N-nitrosation reactions typically involve <inline-formula><mml:math id="M844" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> rather than <inline-formula><mml:math id="M845" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Spott et al., 2011), a prior conversion of <inline-formula><mml:math id="M846" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M847" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is required. While this step can be carried out by denitrifying organisms, the extremely low temperatures and acidic conditions in Antarctic ice make an abiotic process more likely (see Sect. 5.5). <inline-formula><mml:math id="M848" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> can be abiotically reduced to <inline-formula><mml:math id="M849" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> by redox-active metal ions such as <inline-formula><mml:math id="M850" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M851" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mn</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Zhu-Barker et al., 2015). This hypothesis is supported by the presence of <inline-formula><mml:math id="M852" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in ice cores (Spolaor et al., 2012, 2013). Baccolo et al. (2021) found decreasing <inline-formula><mml:math id="M853" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations with depth in the TALDICE core, and below 1500 m only <inline-formula><mml:math id="M854" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is present in the form of jarosite (<inline-formula><mml:math id="M855" display="inline"><mml:mrow class="chem"><mml:msub><mml:msup><mml:mi mathvariant="normal">KFe</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), a mineral that forms through chemical weathering of aeolian dust under acidic conditions in deep ice. These findings indicate that <inline-formula><mml:math id="M856" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> undergoes slow post-depositional oxidation in the ice. One possible explanation is that <inline-formula><mml:math id="M857" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> oxidizes dust-derived <inline-formula><mml:math id="M858" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which could explain the observed link between dust content and in situ <inline-formula><mml:math id="M859" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production. In this scenario, <inline-formula><mml:math id="M860" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is the limiting factor for <inline-formula><mml:math id="M861" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production, as it is progressively consumed during the conversion from <inline-formula><mml:math id="M862" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M863" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Site preference constraints on the <inline-formula><mml:math id="M864" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production mechanism</title>
      <p id="d2e12630">Since many reaction pathways have specific SP values, the SP signature is commonly used to attribute N<sub>2</sub>O production to a specific pathway. High SP values ranging from <inline-formula><mml:math id="M866" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M867" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">37</mml:mn></mml:mrow></mml:math></inline-formula> ‰ are reported for nitrification (Toyoda et al., 2002, 2017), fungal denitrification (Toyoda et al., 2017), and abiotic reactions such as <inline-formula><mml:math id="M868" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reduction and <inline-formula><mml:math id="M869" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation (Heil et al., 2015; Toyoda et al., 2005). Several studies suggested that the similarity of the SP signatures for these distinct formation pathways is attributable to a common intermediate species – hyponitrous acid HONNOH<italic>cis</italic> (Heil et al., 2015; Toyoda et al., 2002, 2005, 2017). During decomposition, this intermediate preferentially breaks at the <inline-formula><mml:math id="M870" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>-O bond over the <inline-formula><mml:math id="M871" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>-O bond, enriching the central N atom (N<sup><italic>α</italic></sup>) in <inline-formula><mml:math id="M873" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and explaining high SP values (Toyoda et al., 2002) (Fig. 9a). In contrast, bacterial and nitrifier denitrification produce <inline-formula><mml:math id="M874" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> with low SP values from <inline-formula><mml:math id="M875" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to 0 ‰ (Toyoda et al., 2017), which are thought to derive from a different intermediate. Modeling work suggested a trans-hyponitrous structure that decomposes preferentially into <inline-formula><mml:math id="M876" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:msup><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> due to kinetic isotope effects, thus explaining the low SP values of these formation pathways (Fehling, 2012) (Fig. 9a). Overall, in these cases, SP values are therefore determined by the decomposition step of the last intermediate into <inline-formula><mml:math id="M877" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and are independent of the <inline-formula><mml:math id="M878" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values of the precursor (Fig. 9).</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e12809">Production mechanisms for single-precursor <inline-formula><mml:math id="M879" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and hybrid <inline-formula><mml:math id="M880" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b, c)</bold>. Two mechanisms for hybrid <inline-formula><mml:math id="M881" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production are proposed: panel <bold>(b)</bold> explains constant SP values, while panel <bold>(c)</bold>, which explains the observed SP dependence on the <inline-formula><mml:math id="M882" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values of the precursor, is more likely to represent the in situ production pathway. <bold>(b)</bold> Mechanism with a symmetric intermediate, here the <italic>cis</italic>-hyponitrous acid HONNOH. Depending on which N-O bond of the symmetric intermediate breaks, the <inline-formula><mml:math id="M883" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-derived and <inline-formula><mml:math id="M884" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>-derived N atoms can each end up either in the central position (<inline-formula><mml:math id="M885" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>) or in the terminal position (<inline-formula><mml:math id="M886" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>) in <inline-formula><mml:math id="M887" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. The percentage of molecules 1 and 2, and consequently the site preference, only reflects the preferential cleavage of the <inline-formula><mml:math id="M888" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> bond over the <inline-formula><mml:math id="M889" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> bond during the last step of <inline-formula><mml:math id="M890" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> formation. Therefore, hybrid <inline-formula><mml:math id="M891" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> exhibits a consistent site preference that is independent of the <inline-formula><mml:math id="M892" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values of the precursors (Heil et al., 2014). In this case the O atom is derived from one precursor or the other. <bold>(c)</bold> Mechanism with an asymmetric intermediate. In this case, the O atom and the central N atom (N<sup><italic>α</italic></sup>) are always derived from <inline-formula><mml:math id="M894" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and the terminal N atom (N<sup><italic>β</italic></sup>) from <inline-formula><mml:math id="M896" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. The two N atoms retain the <inline-formula><mml:math id="M897" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> signatures of their individual precursors. The site preference is therefore variable, as it depends on the difference between the <inline-formula><mml:math id="M898" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values of the two precursors. This mechanism matches our observations but to our knowledge has not yet been reported in the literature. Note that the precursors and intermediates shown in this figure are only examples used to illustrate our point about SP values. It is one hypothesis among others for the mechanism of in situ <inline-formula><mml:math id="M899" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production as the nitrogen source of the terminal nitrogen N<sup><italic>β</italic></sup> in <inline-formula><mml:math id="M901" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (in yellow) remains unknown. During in situ production, <inline-formula><mml:math id="M902" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> carried by dust may reduce <inline-formula><mml:math id="M903" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M904" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and act as the limiting factor once fully oxidized to <inline-formula><mml:math id="M905" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f09.png"/>

        </fig>

      <p id="d2e13188">For in situ <inline-formula><mml:math id="M906" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, however, the SP values for the Vostok and TG ice cores do not fall into either typical low or high SP range and are highly variable (Table 2). The constant-SP pathways discussed above produce single-precursor <inline-formula><mml:math id="M907" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, but in the case of hybrid <inline-formula><mml:math id="M908" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production, one would expect a priori that the SP would no longer be a unique mechanism-dependent signature. Instead, for hybrid reactions the SP should be influenced by the difference between the <inline-formula><mml:math id="M909" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> signatures of the two precursors, if the central N atom (N<sup><italic>α</italic></sup>) is derived from one precursor and the terminal N atom (N<sup><italic>β</italic></sup>) from the other. However, Heil et al. (2014) demonstrated that hybrid <inline-formula><mml:math id="M912" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> from the nitrosation of <inline-formula><mml:math id="M913" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> by <inline-formula><mml:math id="M914" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is also characterized by a constant SP value of <inline-formula><mml:math id="M915" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">34</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (Table 2) regardless of the precursor signatures. The authors concluded that the <inline-formula><mml:math id="M916" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>-nitrosation mechanism also involves the symmetric hyponitrous intermediate (Fig. 9b). In fact, since this intermediate is symmetrical, the N atoms from each precursor can either take the <inline-formula><mml:math id="M917" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-position or the <inline-formula><mml:math id="M918" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-position in the final <inline-formula><mml:math id="M919" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> molecule; the difference in their <inline-formula><mml:math id="M920" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values then has no influence on the SP value (Fig. 9b).</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e13374">Comparison of the site preference (SP) range measured for hybrid <inline-formula><mml:math id="M921" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in a previous study with SP ranges calculated for in situ <inline-formula><mml:math id="M922" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the Vostok and TG ice cores.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="130pt"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="125pt"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Reaction pathway</oasis:entry>
         <oasis:entry colname="col2">SP range (‰)</oasis:entry>
         <oasis:entry colname="col3" align="left">Suspected intermediate species</oasis:entry>
         <oasis:entry colname="col4">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Abiotic oxidation of <inline-formula><mml:math id="M923" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> by <inline-formula><mml:math id="M924" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (production of hybrid <inline-formula><mml:math id="M925" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M926" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">34</mml:mn><mml:mo>;</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left">Symmetric intermediate: cis-hyponitrite (<inline-formula><mml:math id="M927" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:msup><mml:mi mathvariant="normal">ONNO</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(Heil et al., 2014)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M928" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in situ production at Vostok</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M929" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">57.2</mml:mn><mml:mo>;</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">187.4</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left">Asymmetric intermediate (unknown)</oasis:entry>
         <oasis:entry colname="col4">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"><inline-formula><mml:math id="M930" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in situ production at TG</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M931" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.3</mml:mn><mml:mo>;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="left">Asymmetric intermediate (unknown)</oasis:entry>
         <oasis:entry colname="col4">This study</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e13616">Because of the variability of the SP(<inline-formula><mml:math id="M932" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values and their dependence on the <inline-formula><mml:math id="M934" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M935" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) signature, we therefore deduce that the production mechanism of in situ <inline-formula><mml:math id="M936" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> does not involve the hyponitrous symmetrical intermediate. In Fig. 9c, we propose a new reaction mechanism that involves an asymmetric intermediate, resulting in a hybrid <inline-formula><mml:math id="M937" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> molecule in which the N atoms at the <inline-formula><mml:math id="M938" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M939" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> positions are derived from a specific precursor. N<sup><italic>α</italic></sup> and N<sup><italic>β</italic></sup> retain the two individual signatures of the precursors rather than losing them as discussed above. The high variability of SP values is then attributable to the variability of <inline-formula><mml:math id="M942" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values (Fig. 6), which originates from the wide range of <inline-formula><mml:math id="M943" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M944" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) values (Fig. 7).</p>
      <p id="d2e13776">We note that all published SP datasets used for comparison were obtained at ambient temperatures, whereas in situ <inline-formula><mml:math id="M945" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in Antarctic ice occurs at very low temperatures. Such low temperatures imply extremely slow reaction rates, which may alter the magnitude of isotope fractionation and make direct comparison of absolute SP values with ambient-temperature experiments difficult. To our knowledge, no SP measurements exist under such cold conditions. However, our interpretation does not rely on comparing absolute SP values. Instead, we focus on whether SP is constant or variable with respect to the <inline-formula><mml:math id="M946" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> signature of the precursor; this property should be independent of the absolute magnitude of isotope fractionation. Although lower temperatures may increase kinetic isotope effects and shift absolute SP values, they do not change whether SP remains constant (as in reactions involving symmetrical intermediates) or varies with the precursor isotopic composition (as expected when an asymmetrical intermediate forms). Thus, the comparison of the mechanisms remains valid even without low-temperature experimental data from previous studies.</p>
      <p id="d2e13807">Several mechanisms could potentially explain why the intermediate of in situ <inline-formula><mml:math id="M947" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production is asymmetric, even though its exact chemical structure remains unknown. Firstly, the precursor of the <inline-formula><mml:math id="M948" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-position N atom could be different from <inline-formula><mml:math id="M949" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. Although most studies on hybrid <inline-formula><mml:math id="M950" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production report a reaction between <inline-formula><mml:math id="M951" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M952" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Frame et al., 2017; Spott et al., 2011; Stieglmeier et al., 2014; Terada et al., 2017), other nucleophilic precursors have been reported as precursors of hybrid <inline-formula><mml:math id="M953" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Hydrazine (<inline-formula><mml:math id="M954" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), for example, forms the asymmetrical intermediate <inline-formula><mml:math id="M955" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HO</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">N</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">N</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Perron et al., 1976). A second possibility is that very low temperatures modify the structure or stability of the intermediate normally formed from <inline-formula><mml:math id="M956" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M957" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> at ambient temperature conditions, favoring an asymmetrical species and thereby generating the observed dependence of SP on the precursor <inline-formula><mml:math id="M958" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values.</p>
      <p id="d2e13979">The same hybrid production mechanism proposed for in situ <inline-formula><mml:math id="M959" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in Antarctic ice may occur at Don Juan Pond (DJP), Antarctica. Like in ice cores, <inline-formula><mml:math id="M960" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> formation at DJP reported by Samarkin et al. (2010) occurs under very low temperatures and involves <inline-formula><mml:math id="M961" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and especially <inline-formula><mml:math id="M962" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, with higher production rates for <inline-formula><mml:math id="M963" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> as precursor. The authors demonstrated that <inline-formula><mml:math id="M964" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> extracted from DJP soil is abiotically produced. Moreover, they measured very low and highly variable SP values at DJP, down to <inline-formula><mml:math id="M965" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> ‰, which also fall outside the typical SP range. This variability in SP values and similar environmental conditions support the possibility of a shared, likely abiotic, mechanism of hybrid <inline-formula><mml:math id="M966" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in Antarctic ice and at DJP.</p>
</sec>
<sec id="Ch1.S5.SS4">
  <label>5.4</label><title>Source of oxygen in in situ <inline-formula><mml:math id="M967" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e14108">The <inline-formula><mml:math id="M968" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> signature of in situ <inline-formula><mml:math id="M969" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> does not reflect the <inline-formula><mml:math id="M970" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M971" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, indicating that additional processes modify the oxygen isotopic composition during or prior to <inline-formula><mml:math id="M972" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> formation; below, we therefore discuss possible mechanisms that could explain this decoupling, while noting that the dominant process remains uncertain.</p>
      <p id="d2e14181">Considering an N-nitrosation pathway, the observed <inline-formula><mml:math id="M973" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M974" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values might be explained by the combined processes of <inline-formula><mml:math id="M976" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reduction and <inline-formula><mml:math id="M977" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> isotopic equilibration with <inline-formula><mml:math id="M978" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Casciotti et al., 2007). Since N-nitrosation typically involves <inline-formula><mml:math id="M979" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> rather than <inline-formula><mml:math id="M980" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, it is likely that <inline-formula><mml:math id="M981" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is first reduced to <inline-formula><mml:math id="M982" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. Several studies have shown that <inline-formula><mml:math id="M983" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is prone to exchange its O atoms with the O atoms of water molecules in aqueous solution (Bunton et al., 1959). The water from Antarctic ice is strongly depleted in <inline-formula><mml:math id="M984" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M985" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M986" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) values of approximately <inline-formula><mml:math id="M987" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">62</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at Vostok (Lorius et al., 1985), <inline-formula><mml:math id="M988" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">56</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at EDC (Landais and Stenni, 2021), <inline-formula><mml:math id="M989" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">42</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at EDML (EPICA Community Members, 2010) and <inline-formula><mml:math id="M990" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">42</mml:mn></mml:mrow></mml:math></inline-formula> ‰ as well at TG (Baggenstos et al., 2018). Thus, incorporation of O atoms from <inline-formula><mml:math id="M991" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> into <inline-formula><mml:math id="M992" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> through exchange with <inline-formula><mml:math id="M993" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> could explain the <inline-formula><mml:math id="M994" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> depletion observed in in situ <inline-formula><mml:math id="M995" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> compared to <inline-formula><mml:math id="M996" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the EDML, EDC, and Vostok ice cores (Fig. 5). However, the <inline-formula><mml:math id="M997" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M998" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values are not correlated to <inline-formula><mml:math id="M1000" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1001" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) values and the difference between <inline-formula><mml:math id="M1002" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1003" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M1005" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1006" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) is significantly larger at EDML than at EDC and Vostok. This may indicate an incomplete exchange of O atoms between <inline-formula><mml:math id="M1007" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M1008" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, with a larger fraction of exchanged O atoms at EDML than EDC and Vostok.</p>
      <p id="d2e14651">In contrast, <inline-formula><mml:math id="M1009" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1010" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values at TG are unexpectedly higher than <inline-formula><mml:math id="M1012" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1013" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), suggesting that oxygen exchange with water alone cannot explain the <inline-formula><mml:math id="M1014" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1015" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values. In this case, the observed enrichment in <inline-formula><mml:math id="M1017" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> compared to <inline-formula><mml:math id="M1018" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> might be due to the “branching effect” associated with <inline-formula><mml:math id="M1019" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reduction. This effect results from the incomplete incorporation of the oxygen pool from <inline-formula><mml:math id="M1020" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M1021" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Casciotti et al., 2007). Indeed, only two out of three O atoms from <inline-formula><mml:math id="M1022" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> are transferred into <inline-formula><mml:math id="M1023" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, then one out of two from <inline-formula><mml:math id="M1024" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M1025" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Since <inline-formula><mml:math id="M1026" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> atoms are preferentially lost, <inline-formula><mml:math id="M1027" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M1028" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> become enriched in <inline-formula><mml:math id="M1029" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. For the abiotic reduction of <inline-formula><mml:math id="M1030" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M1031" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> by <inline-formula><mml:math id="M1032" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the branching effect results in positive isotope effect of about <inline-formula><mml:math id="M1033" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at 25 <inline-formula><mml:math id="M1034" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Buchwald et al., 2016) which is likely even larger at very low temperatures. Although the same branching effect probably occurs at EDC, Vostok, and EDML, the fraction of exchanged O atoms might be smaller at TG, making the branching effect relatively more pronounced in the final <inline-formula><mml:math id="M1035" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1036" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values.</p>
      <p id="d2e15030">The reason why the fraction of exchanged O atoms would vary among ice cores is not fully understood. It likely depends on the relative rates of oxygen isotope equilibration and the N-nitrosation reaction, both of which are temperature- and pH-dependent. Casciotti et al. (2007) showed that oxygen exchange is faster under acidic conditions, and Su et al. (2019) reported that low pH also accelerates abiotic nitrosation reactions. However, measurement constraints of pH remain limited. Although glacial Antarctic ice is generally acidic and Greenland ice is typically more alkaline, pH measurements are not available for the specific samples investigated here, making it difficult to interpret the differences in <inline-formula><mml:math id="M1038" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1039" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) among Antarctic sites in terms of pH effects. Moreover, even if pH were measured in the liquid phase (meltwater), it would be difficult to directly infer the pH of the solid ice matrix, as pH is formally defined only for liquid solutions. In addition, the relevant reactions likely occur at the surfaces of dust particles (where the reduction of <inline-formula><mml:math id="M1041" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M1042" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> may take place) rather than in the bulk ice, and the chemical conditions in these micro-environments may differ from those of the surrounding ice.</p>
      <p id="d2e15097">To conclude, the combination of different ice chemical compositions and environmental conditions during the reaction could influence the fraction of O atoms exchanged between <inline-formula><mml:math id="M1043" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M1044" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. While the relative contributions of oxygen exchange and branching effect to the <inline-formula><mml:math id="M1045" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1046" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values remain unclear, overall, these processes may mask the transfer of the original <inline-formula><mml:math id="M1048" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1049" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) signature into in situ <inline-formula><mml:math id="M1050" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S5.SS5">
  <label>5.5</label><title>Likelihood of an abiotic production of <inline-formula><mml:math id="M1051" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e15228">In situ <inline-formula><mml:math id="M1052" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in polar ice has often been attributed to microbial activity. Sowers (2001) reported two <inline-formula><mml:math id="M1053" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> maxima in the Vostok ice core at around 150 ka that coincided with elevated bacterial counts. Similarly, Rohde et al. (2008) found that in the GISP2 Greenland ice core, most of the samples affected by in situ production were associated with large cell counts.</p>
      <p id="d2e15257">However, several observations challenge the hypothesis of a microbial in situ production. First, the correlation between microbial counts and <inline-formula><mml:math id="M1054" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> maxima may not be causal, as the dust content could be a confounding variable: mineral particles are the main carriers of microbial cells to the ice sheet (Miteva, 2008; Miteva et al., 2016), so both microbial concentrations and in situ <inline-formula><mml:math id="M1055" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> are positively correlated with dust content in Antarctic ice cores. Second, because the low temperatures affect microbial metabolism and thus limit the reaction, one would expect the increase in ice temperature with depth to result in an increase in excess <inline-formula><mml:math id="M1056" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> as well. However, such an increase is not observed (Schilt et al., 2010b). Third, microbial activity generally requires the presence of liquid water. Although thin water channels called “liquid veins” can form during ice crystal growth due to concentration of acidic impurities at crystal interfaces (Barletta et al., 2012; Dani et al., 2012), the upper hundreds of meters where <inline-formula><mml:math id="M1057" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is produced are too cold for such features to exist at sites like Vostok (Dani et al., 2012). Fourth, our SP and <inline-formula><mml:math id="M1058" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> data indicate the absence of microbial <inline-formula><mml:math id="M1059" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reduction in the ice (Sect. 5.1). While absence of <inline-formula><mml:math id="M1060" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reduction alone does not rule out microbial <inline-formula><mml:math id="M1061" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production, these two processes are generally linked in terrestrial and aquatic environments, where <inline-formula><mml:math id="M1062" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> produced by bacterial denitrification is typically at least partly reduced to <inline-formula><mml:math id="M1063" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Fifth, no functional genes involved in bacterial and archaeal nitrification and denitrification were detected by PCR amplification in the NEEM Greenland ice core during the last glacial period (Miteva et al., 2016). Finally, Antarctic ice is an acidic environment (EPICA community members, 2004; Wolff et al., 1997), but the review by Spott et al. (2011) indicates that hybrid <inline-formula><mml:math id="M1064" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production by biotic nitrosation generally occurs under neutral pH conditions, within a range of 6 to 7.5. Only one study reported production of hybrid <inline-formula><mml:math id="M1065" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> by ammonia-oxidizing archaea at a moderately low pH of 5.5 (Jung et al., 2019). In contrast, Su et al. (2019) showed that abiotic production of hybrid <inline-formula><mml:math id="M1066" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is enhanced at <inline-formula><mml:math id="M1067" display="inline"><mml:mrow><mml:mtext>pH</mml:mtext><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>. Given the above constraints, an abiotic mechanism is the most plausible explanation for in situ <inline-formula><mml:math id="M1068" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production.</p>
      <p id="d2e15456">An abiotic reaction triggered by low pH could also explain the differences in <inline-formula><mml:math id="M1069" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production observed between Antarctic and Greenland ice. In Antarctic ice cores, <inline-formula><mml:math id="M1070" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production occurs consistently throughout dust-rich depths and the amount of in situ <inline-formula><mml:math id="M1071" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is roughly correlated with the amount of dust (Schilt et al., 2010b, a). In contrast, Greenland ice shows erratic <inline-formula><mml:math id="M1072" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production with a finite number of outliers of very high <inline-formula><mml:math id="M1073" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio (Flückiger et al., 2004). In Greenland ice cores, it occurs in specific depth intervals with moderate dust concentrations, while sections with very high dust concentrations rarely show in situ production. This very dusty Greenland ice is alkaline due to the deposition of alkaline dust (calcium carbonates), which can neutralize acids in the ice (Biscaye et al., 1997; Mayewski et al., 1994; Wolff et al., 1997), a phenomenon not observed in Antarctic ice which is acidic (EPICA community members, 2004; Wolff et al., 1997). The generally higher pH of Greenland ice (Rasmussen et al., 2023) may inhibit in situ <inline-formula><mml:math id="M1074" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production, potentially explaining the absence of widespread production in these cores. Isolated outliers with elevated <inline-formula><mml:math id="M1075" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios occur at depths where the ice is more acidic, for instance near volcanic horizons, as they are often found close to sulfate peaks.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusion</title>
      <p id="d2e15560">Using bulk and position-specific isotope analyses, we have improved the understanding of <inline-formula><mml:math id="M1076" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in Antarctic ice while also raising new questions about its nature. Our results show that <inline-formula><mml:math id="M1077" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> produced in ice is hybrid <inline-formula><mml:math id="M1078" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, with its central N atom (N<sup><italic>α</italic></sup>) derived from <inline-formula><mml:math id="M1080" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and its terminal N atom (N<sup><italic>β</italic></sup>) from a different precursor. This hybrid <inline-formula><mml:math id="M1082" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is likely produced abiotically through an N-nitrosation reaction, in which <inline-formula><mml:math id="M1083" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is first reduced to <inline-formula><mml:math id="M1084" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> that then reacts with a nucleophilic compound that supplies N<sup><italic>β</italic></sup> in <inline-formula><mml:math id="M1086" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M1087" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> contained in dust particles may be the agent that reduces <inline-formula><mml:math id="M1088" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M1089" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. In addition to the precursor of the terminal N atom, this reducing agent could be a limiting factor in the reaction. Low pH may also be a necessary condition for this process. To better understand the pH control on <inline-formula><mml:math id="M1090" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production, future work should investigate the isolated in situ <inline-formula><mml:math id="M1091" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> outliers in Greenland ice. The sources of the terminal N atom (N<sup><italic>β</italic></sup>) and the O atom in in situ <inline-formula><mml:math id="M1093" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> remain uncertain. One possibility is that N<sup><italic>β</italic></sup> originates from <inline-formula><mml:math id="M1095" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, potentially converted to <inline-formula><mml:math id="M1096" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>; measuring the isotopic composition of <inline-formula><mml:math id="M1097" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in Antarctic ice cores could help testing this hypothesis. For the O atom, it may be derived from two different oxygen pools – either from <inline-formula><mml:math id="M1098" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> or from <inline-formula><mml:math id="M1099" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> through oxygen exchange with <inline-formula><mml:math id="M1100" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e15882">Our work revealed that the isotopic composition of in situ <inline-formula><mml:math id="M1101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is highly variable even within a single ice core. As a result, <inline-formula><mml:math id="M1102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> records from ice cores cannot be accurately corrected for in situ production using a fixed isotopic signature in a mass balance approach. A more robust correction method would be to measure <inline-formula><mml:math id="M1103" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> isotopic composition alongside total <inline-formula><mml:math id="M1104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the same samples, as we did in this study. Since the in situ <inline-formula><mml:math id="M1105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> signature reflects the variability of <inline-formula><mml:math id="M1106" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> isotopes, this method would help estimate the isotopic signature of in situ <inline-formula><mml:math id="M1107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in affected samples. We could not apply this method to the existing <inline-formula><mml:math id="M1108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> records because the meltwater at that time was not collected after <inline-formula><mml:math id="M1109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> analysis, thus the <inline-formula><mml:math id="M1110" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> isotopic composition cannot be measured in these specific samples.</p>
      <p id="d2e16019">This study also highlights the importance of accounting for in situ <inline-formula><mml:math id="M1111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production when using <inline-formula><mml:math id="M1112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> isotopes for source attribution. In some ice cores, the isotopic signature of in situ <inline-formula><mml:math id="M1113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> deviates drastically from the atmospheric signal. Even small amounts of in situ <inline-formula><mml:math id="M1114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> can significantly impact the measured isotopic composition and thus alter paleoclimatic interpretations. For example, for atmospheric <inline-formula><mml:math id="M1115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at a mixing ratio of 200 ppb and in situ <inline-formula><mml:math id="M1116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at 5 ppb, with <inline-formula><mml:math id="M1117" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1118" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) as high as <inline-formula><mml:math id="M1120" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> ‰ as we observed in the Vostok ice core, this small in situ contribution would shift the <inline-formula><mml:math id="M1121" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>total</sub>) by <inline-formula><mml:math id="M1124" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰. Such a shift would result in a 16 % increase in estimated marine <inline-formula><mml:math id="M1125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions and a change in marine-to-terrestrial emission ratio from 0.39 to 0.45, which is close to the entire change observed over the last 21 kyr (Fischer et al., 2019). Therefore, identifying and excluding all samples affected by in situ production is essential to avoid misinterpretation.</p>
      <p id="d2e16213">Our results reveal a previously unidentified <inline-formula><mml:math id="M1126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production pathway likely involving an asymmetric reaction intermediate. This process may not be limited to ice but could also occur in other environments such as soils or aquatic systems, suggesting it may contribute to atmospheric <inline-formula><mml:math id="M1127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> more broadly. This has important implications for the interpretation of SP values. The SP(<inline-formula><mml:math id="M1128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) values observed in this study show unusual variability and strong dependence on the isotopic composition of the precursors, compared to SP values reported in previous studies (Heil et al., 2014; Toyoda et al., 2017). These results may reflect the production of hybrid <inline-formula><mml:math id="M1130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> via an asymmetric intermediate, where N<sup><italic>α</italic></sup> and N<sup><italic>β</italic></sup> originate from distinct precursors and retain the isotopic signature of their respective sources. In this case, the SP values depend on the difference between the isotopic signatures of the two sources. This mechanism complicates the use of SP to trace <inline-formula><mml:math id="M1133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> pathways, as they are not always characterized by a constant SP value. We therefore recommend further investigation of SP values in hybrid <inline-formula><mml:math id="M1134" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> under different environmental conditions and reaction mechanisms.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Can the TALDICE data be used as an atmospheric reference?</title>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e16335"><inline-formula><mml:math id="M1135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> concentrations measured in the TALDICE (Schilt et al., 2010a), NGRIP (Flückiger et al., 2004; Schilt et al., 2010a, 2013), and EDC (Schilt et al., 2010b) ice cores over the last 120 kyr <bold>(a)</bold> and over the last 40 kyr <bold>(b)</bold>. In situ <inline-formula><mml:math id="M1136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> outliers have been removed from the NGRIP record. The EDC ice core is affected by in situ production of <inline-formula><mml:math id="M1137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> during the LGM and MIS4.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f10.png"/>

      </fig>


</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Uncertainties in the mass balance calculation</title>

<table-wrap id="TB1"><label>Table B1</label><caption><p id="d2e16404">Uncertainty ranges used in the Monte-Carlo calculation of the uncertainty of in situ <inline-formula><mml:math id="M1138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> isotopic signature. Here we report the uncertainties due to differences in gas age scales of TALDICE and other ice cores, as the atmospheric values in the mass balance calculation are defined as the spline values matching the age of the measured sample.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry colname="col2">Uncertainty range</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Gas age</oasis:entry>
         <oasis:entry colname="col2">0.7 kyr</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M1139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> concentration of the atmospheric spline</oasis:entry>
         <oasis:entry colname="col2">4 ppb</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M1140" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values of the <inline-formula><mml:math id="M1141" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> atmospheric spline</oasis:entry>
         <oasis:entry colname="col2">0.3 ‰</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M1142" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> value of atmospheric <inline-formula><mml:math id="M1143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Menking et al., 2025)</oasis:entry>
         <oasis:entry colname="col2">1.7 ‰</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M1144" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values of the <inline-formula><mml:math id="M1145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> atmospheric spline</oasis:entry>
         <oasis:entry colname="col2">0.6 ‰</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Measured <inline-formula><mml:math id="M1146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> concentration</oasis:entry>
         <oasis:entry colname="col2">4 ppb</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Measured <inline-formula><mml:math id="M1147" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1148" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) values</oasis:entry>
         <oasis:entry colname="col2">0.3 ‰</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Measured <inline-formula><mml:math id="M1149" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) values</oasis:entry>
         <oasis:entry colname="col2">0.6 ‰</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Measured <inline-formula><mml:math id="M1151" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) values</oasis:entry>
         <oasis:entry colname="col2">0.6 ‰</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</app>

<app id="App1.Ch1.S3">
  <label>Appendix C</label><title>Sensitivity study: potential in situ contribution in TALDICE <inline-formula><mml:math id="M1153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></title>

      <fig id="FC1"><label>Figure C1</label><caption><p id="d2e16745">Spline interpolation of TALDICE <inline-formula><mml:math id="M1154" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> concentrations, corrected for potential in situ production proportional to dust content. The different curves correspond to varying production factors, which link dust concentration to the amount of in situ <inline-formula><mml:math id="M1155" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> produced. <bold>(a)</bold> 0 to 140 kyr BP, <bold>(b)</bold> 14 to 38 kyr BP.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f11.png"/>

      </fig>

<fig id="FC2"><label>Figure C2</label><caption><p id="d2e16791">Sensitivity study testing the impact of in situ <inline-formula><mml:math id="M1156" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in TALDICE proportional to <inline-formula><mml:math id="M1157" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations, with production factors (PF) ranging from 0 to 1. <inline-formula><mml:math id="M1158" display="inline"><mml:mrow><mml:mtext>PF</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> means no <inline-formula><mml:math id="M1159" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production. <bold>(a)</bold> Relation between <inline-formula><mml:math id="M1160" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mtext>bulk</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M1163" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1164" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). <bold>(b)</bold> Relation between <inline-formula><mml:math id="M1165" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><sub>in situ</sub>) and <inline-formula><mml:math id="M1168" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M1169" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>).</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/3939/2026/bg-23-3939-2026-f12.png"/>

      </fig>

</app>

<app id="App1.Ch1.S4">
  <label>Appendix D</label><title>Assessment of potential <inline-formula><mml:math id="M1170" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> contamination, loss, or isotopic fractionation during <inline-formula><mml:math id="M1171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> extraction from ice core samples</title>

<table-wrap id="TD1"><label>Table D1</label><caption><p id="d2e17038"><inline-formula><mml:math id="M1172" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentration and isotopic composition of the same samples with and without <inline-formula><mml:math id="M1173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> extraction.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="50pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="50pt"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry namest="col3" nameend="col4" align="center"><inline-formula><mml:math id="M1174" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentration </oasis:entry>
         <oasis:entry namest="col5" nameend="col8" align="center"><inline-formula><mml:math id="M1175" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> isotopic composition </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry namest="col3" nameend="col4" align="center">(<inline-formula><mml:math id="M1176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col8" align="center">    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry rowsep="1" colname="col3"/>
         <oasis:entry rowsep="1" colname="col4"/>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center" colsep="1"><inline-formula><mml:math id="M1177" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (‰) </oasis:entry>
         <oasis:entry rowsep="1" namest="col7" nameend="col8" align="center"><inline-formula><mml:math id="M1178" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (‰) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry colname="col3">No <inline-formula><mml:math id="M1179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">After <inline-formula><mml:math id="M1180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">No <inline-formula><mml:math id="M1181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">After <inline-formula><mml:math id="M1182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">No <inline-formula><mml:math id="M1183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">After <inline-formula><mml:math id="M1184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry colname="col3">extraction</oasis:entry>
         <oasis:entry colname="col4">extraction</oasis:entry>
         <oasis:entry colname="col5">extraction</oasis:entry>
         <oasis:entry colname="col6">extraction</oasis:entry>
         <oasis:entry colname="col7">extraction</oasis:entry>
         <oasis:entry colname="col8">extraction</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2" align="left">Ultrapure water with <inline-formula><mml:math id="M1185" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">80</oasis:entry>
         <oasis:entry colname="col4">75.2</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1186" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">180</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M1187" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">175.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M1188" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">25.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M1189" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">34.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2" align="left">isotopic standard USGS32 </oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(reference value)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">(reference value)</oasis:entry>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col2" align="left">(Bohlke et al., 1993) </oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Duplicate ice</oasis:entry>
         <oasis:entry colname="col2" align="left">B37 108</oasis:entry>
         <oasis:entry colname="col3">55.7</oasis:entry>
         <oasis:entry colname="col4">53.0</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1190" display="inline"><mml:mrow><mml:mn mathvariant="normal">51.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M1191" display="inline"><mml:mrow><mml:mn mathvariant="normal">54.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M1192" display="inline"><mml:mrow><mml:mn mathvariant="normal">48.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M1193" display="inline"><mml:mrow><mml:mn mathvariant="normal">59.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">core samples</oasis:entry>
         <oasis:entry colname="col2" align="left">EDC 1841</oasis:entry>
         <oasis:entry colname="col3">35.6</oasis:entry>
         <oasis:entry colname="col4">35.1</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1194" display="inline"><mml:mrow><mml:mn mathvariant="normal">175.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M1195" display="inline"><mml:mrow><mml:mn mathvariant="normal">176.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M1196" display="inline"><mml:mrow><mml:mn mathvariant="normal">38.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M1197" display="inline"><mml:mrow><mml:mn mathvariant="normal">40.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">EDML 1768</oasis:entry>
         <oasis:entry colname="col3">93.0</oasis:entry>
         <oasis:entry colname="col4">90.3</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1198" display="inline"><mml:mrow><mml:mn mathvariant="normal">46.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M1199" display="inline"><mml:mrow><mml:mn mathvariant="normal">50.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M1200" display="inline"><mml:mrow><mml:mn mathvariant="normal">76.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M1201" display="inline"><mml:mrow><mml:mn mathvariant="normal">84.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">EDML 976</oasis:entry>
         <oasis:entry colname="col3">64.8</oasis:entry>
         <oasis:entry colname="col4">64.6</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1202" display="inline"><mml:mrow><mml:mn mathvariant="normal">63.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M1203" display="inline"><mml:mrow><mml:mn mathvariant="normal">65.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M1204" display="inline"><mml:mrow><mml:mn mathvariant="normal">78.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M1205" display="inline"><mml:mrow><mml:mn mathvariant="normal">93.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e17731">The data presented in this study are available on PANGAEA at: <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.986638" ext-link-type="DOI">10.1594/PANGAEA.986638</ext-link> (Soussaintjean et al., 2026).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e17740">The concept of the study was developed by JSc, HF, and LS. The bulk isotope analyses of <inline-formula><mml:math id="M1206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> were carried out by LS and BS. LS performed the position-specific isotope analyses of <inline-formula><mml:math id="M1207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> under the guidance of JAM and EJB and the <inline-formula><mml:math id="M1208" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> isotope analyses under the guidance of JSa. JSa, VL, and EJB provided ice core samples. LS and JSc analyzed the data. TR, JAM, and EJB provided input on SP measurements. HF managed and supervised the project. LS wrote the manuscript with contributions from all authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e17788">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e17794">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e17801">This publication was generated in the frame of the DEEPICE project. The project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 955750. This research has also been supported by the Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (grant no. 200020_200328).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e17807">This paper was edited by Wei Wen Wong and reviewed by Dominika Lewicka-Szczebak and one anonymous referee.</p>
  </notes><ref-list>
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