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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-23-497-2026</article-id><title-group><article-title>A novel laser-based spectroscopic method reveals the isotopic signatures of nitrous oxide produced by eukaryotic and prokaryotic phototrophs in darkness</article-title><alt-title>The isotopic signatures of nitrous oxide produced by cyanobacteria and microalgae</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff1">
          <name><surname>Plouviez</surname><given-names>Maxence</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6824-697X</ext-link></contrib>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff2">
          <name><surname>Sperlich</surname><given-names>Peter</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1455-0903</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Guieysse</surname><given-names>Benoit</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Clough</surname><given-names>Tim</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Peethambaran</surname><given-names>Rahul</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff4">
          <name><surname>Wells</surname><given-names>Naomi</given-names></name>
          <email>naomi.wells@lincoln.ac.nz</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Cawthron Institute, Nelson, 7010, Aotearoa New Zealand</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Institute of Water and Atmospheric Research (NIWA), Wellington, Aotearoa New Zealand</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>BG Bioprocess Consulting, Palmerston North 4410, Aotearoa New Zealand</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Lincoln University, Lincoln, 7647, Aotearoa New Zealand</institution>
        </aff><author-comment content-type="econtrib"><p>These authors contributed equally to this work.</p></author-comment>
      </contrib-group>
      <author-notes><corresp id="corr1">Naomi Wells (naomi.wells@lincoln.ac.nz)</corresp></author-notes><pub-date><day>20</day><month>January</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>2</issue>
      <fpage>497</fpage><lpage>508</lpage>
      <history>
        <date date-type="received"><day>19</day><month>May</month><year>2025</year></date>
           <date date-type="rev-request"><day>28</day><month>May</month><year>2025</year></date>
           <date date-type="rev-recd"><day>4</day><month>December</month><year>2025</year></date>
           <date date-type="accepted"><day>21</day><month>December</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Maxence Plouviez 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/bg-23-497-2026.html">This article is available from https://bg.copernicus.org/articles/bg-23-497-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/bg-23-497-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/bg-23-497-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e149">Prokaryotic and eukaryotic microscopic phototrophs (“microalgae”) can synthesize the potent greenhouse gas and ozone depleting pollutant nitrous oxide (N<sub>2</sub>O). However, we do not know how much microalgae contribute to aquatic N<sub>2</sub>O emissions because these organisms co-occur with prolific N<sub>2</sub>O producers like denitrifying and nitrifying bacteria. Here we demonstrate for the first time that microalgae produce distinct N<sub>2</sub>O isotopic signatures that will enable us to fill this knowledge gap. The eukaryotes <italic>Chlamydomonas reinhardtii</italic> and <italic>Chlorella vulgaris</italic>, and the prokaryote <italic>Microcystis aeruginosa</italic> synthesized N<sub>2</sub>O 265 – 755 nmol g-DW<sup>−1</sup> h<sup>−1</sup> when in darkness and supplied with 10 mM nitrite (NO<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>). The N<sub>2</sub>O isotopic composition (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N, <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, and site preference, SP) of each species was determined using a modified off-axis integrated-cavity-output spectroscopy analyser with an offline sample purification and homogenisation system. The SP values differed between eukaryotic and prokaryotic algae (25.8 <inline-formula><mml:math id="M12" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰ and 24.1 <inline-formula><mml:math id="M13" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰ for <italic>C. reinhardtii</italic> and <italic>C. vulgaris</italic>, respectively vs 2.1 <inline-formula><mml:math id="M14" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.0 ‰ for <italic>M. aeruginosa</italic>), as did bulk isotope values. Both values differ from SP produced by denitrifiers. This first characterization of the N<sub>2</sub>O isotopic fingerprints of microscopic phototrophs suggests that SP-N<sub>2</sub>O could be used to untangle algal, bacterial, and fungal N<sub>2</sub>O production pathways. As the presence of microalgae could influence N<sub>2</sub>O dynamics in aquatic ecosystems, field monitoring is also needed to establish the occurrence and significance of microalgal N<sub>2</sub>O synthesis under relevant conditions.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Massey University</funding-source>
<award-id>46524</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Institute of Water and Atmospheric Research</funding-source>
<award-id>Understanding Atmospheric Composition and Change programme</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Royal Society Te Apārangi</funding-source>
<award-id>MFP-LIU2102</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="d2e361">Nitrous oxide (N<sub>2</sub>O) is a strong atmospheric pollutant and one of the three major greenhouse gases with carbon dioxide (CO<sub>2</sub>) and methane (CH<sub>4</sub>) (IPCC, 2013; Tian et al., 2016; Tian et al., 2020). N<sub>2</sub>O is an intermediate molecule that is readily produced (and consumed) by a wide range of chemical and biological processes (Plouviez et al., 2018; Tian et al., 2020). For years, bacterial nitrification and denitrification were the only known major biological sources of N<sub>2</sub>O in the environment. However, it is now recognized N<sub>2</sub>O can also be emitted during fungal heterotrophic denitrification, archaeal ammonium oxidation and, as most recently evidenced, microalgal NO<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> assimilation (Bellido-Pedraza et al., 2020; Plouviez et al., 2018; Teuma et al., 2023; Zhang et al., 2023). The ability of microalgae to synthesize N<sub>2</sub>O now challenges the “bacteria-centric” view that all N<sub>2</sub>O emissions from aquatic ecosystems are related to bacterial metabolism (Plouviez and Guieysse, 2020; Plouviez et al., 2018; Teuma et al., 2023).</p>
      <p id="d2e449">Under the Paris agreement, many countries have set stringent targets to reduce all greenhouse gases to net zero by 2050 (den Elzen et al., 2025). This means that all sources need to be accounted for and that accurate methodologies are used for budgeting. In the case of N<sub>2</sub>O, the Intergovernmental Panel on Climate Change (IPCC) provides guidelines that are based on nitrogen inputs, and where a proportion of these inputs is assumed to generate reactive nitrogen (e.g. ammonia, nitrate etc.) that can potentially form N<sub>2</sub>O (Webb et al., 2019; Teuma et al., 2023). While pragmatic, the IPCC method was shown to significantly underestimate or overestimate N<sub>2</sub>O emissions from many aquatic ecosystems (Webb et al., 2019; Sun et al., 2025). Unpredictable aquatic N<sub>2</sub>O emissions are unsurprising given that N<sub>2</sub>O is a reactive intermediate species of multiple redox-regulated reactions and metabolic pathways (Stein and Klotz, 2016). Photoautotrophic N<sub>2</sub>O production further complicates this picture because these organisms influence oxygen availability, a parameter widely recognised to regulate N<sub>2</sub>O production vs consumption (Plouviez and Guieysse, 2020; Chang et al., 2022; Gruber et al., 2022). Process-specific monitoring is therefore required for accurate inventories and mitigation strategies. Isotopic information on the processes driving N<sub>2</sub>O fluxes (Denk et al., 2017; McCue et al., 2019) potentially provides an effective tool for improving the accuracy of greenhouse gas inventories (Park et al., 2012) and more efficient mitigation strategies (Gruber et al., 2022).</p>
      <p id="d2e525">Small variations in the natural abundance of atoms with different mass of the same element (stable isotope signatures) have been widely used to track interactions between, e.g., living organisms or waters (Glibert et al., 2018; Klaus and McDonnell, 2013). Stable isotopes are also a powerful tool to trace biogeochemical reactions – including identifying the source of greenhouse gases. This is because the biological and chemical processes that produce greenhouse gasses generally have a distinct “preference” for light vs heavy isotopes that, once known, can be used to “fingerprint” the origin of a given gas. For instance, isotopic signatures in methane produced from phytoplankton were used to verify the methane as biogenic (Klintzsch et al., 2023). Isotope tracers can be particularly powerful for N<sub>2</sub>O, where biogeochemical source information is imprinted on both its two stable isotopes (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N, <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O) and the intermolecular position of <sup>15</sup>N within the molecule (site preference, SP-N<sub>2</sub>O) (Denk et al., 2017; Ostrom and Ostrom, 2017; Yu et al., 2020). SP-N<sub>2</sub>O is uniquely powerful because these signatures tend to be mass-independent, meaning that they do not vary with the reaction rate or the isotopic composition of the substrate. Yet these analyses require highly specialised and expensive equipment which has limited their development and implementation. Advances in laser technology promised affordable, high-throughput N<sub>2</sub>O isotopic analyses, but their environmental application remains limited by complex analytical effects due to sample matrix and non-linear instrument responses (Harris et al., 2020).</p>
      <p id="d2e596">Here we describe a new method for the accurate laser-based analysis of N<sub>2</sub>O isotopes, which has enabled us to, for the first time, measure the SP-N<sub>2</sub>O signatures of microalgae and cyanobacteria in darkness. Our study demonstrated that microalgae have specific SP-N<sub>2</sub>O signatures. While further research is needed, our study is a first step to ultimately develop process-specific N<sub>2</sub>O monitoring from aquatic ecosystems.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Results and Discussion</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>N<sub>2</sub>O synthesis from <italic>C. vulgaris</italic>, <italic>C. reinhardtii</italic>, and <italic>M. aeruginosa</italic></title>
      <p id="d2e668"><italic>Chlorella vulgaris</italic>, <italic>Chlamydomonas reinhardtii</italic>, and <italic>Microcystis aeruginosa</italic> have been reported to synthesize N<sub>2</sub>O (Table 1). Following the protocol from (Plouviez et al., 2017), pure cultures of these three species were incubated in darkness and supplied with NO<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to trigger N<sub>2</sub>O synthesis. The rates measured during this study are in the same order of magnitude to the ones reported previously for phototrophs (Table 1), however, lower than the rates reported by denitrifiers cultures (2544 <inline-formula><mml:math id="M52" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 156 nmol N<sub>2</sub>O h<sup>−1</sup> g-DW<sup>−1</sup>, <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>, further details about the denitrifier cultures can be found in Supplement Sect. S1).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e765">The production rate and isotope composition of N<sub>2</sub>O by two eukaryotic microalgae (<italic>C. reinhardtii</italic> and <italic>C. vulgaris</italic>) and one prokaryotic cyanobacteria (<italic>M. aeruginosa</italic>). Values for N<sub>2</sub>O production and SP are reported as the mean <inline-formula><mml:math id="M59" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD of laboratory replicates, and the range of analytical uncertainty of the individual SP measurement (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) are also shown. Values for bulk isotopes (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-N<sub>2</sub>O and <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-N<sub>2</sub>O) are reported as the mean <inline-formula><mml:math id="M65" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD of the laboratory replicates relative to the minimum – maximum source isotope range for NO<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and H<sub>2</sub>O, respectively. Letters indicate differences between species, see footnotes for associated ANOVA outputs.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="justify" colwidth="4cm"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Species</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M80" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">N<sub>2</sub>O production</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<sub>N<sub>2</sub>O</sub> – <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>N<sub>2</sub>O</sub> – <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><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:mi mathvariant="normal">c</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">SP-N<sub>2</sub>O<sup>d</sup></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> SP</oasis:entry>
         <oasis:entry colname="col8">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(nmol g-DW<sup>−1</sup> hr<sup>−1</sup>)<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">(‰ v AIR)</oasis:entry>
         <oasis:entry colname="col5">(‰ v VSMOW)</oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> – <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M99" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><italic>C. reinhardtii</italic></oasis:entry>
         <oasis:entry rowsep="1" colname="col2">4</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">370 <inline-formula><mml:math id="M100" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 87</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"><inline-formula><mml:math id="M101" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>120 <inline-formula><mml:math id="M102" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 14.0</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">32.9 <inline-formula><mml:math id="M103" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.60</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">25.8 <inline-formula><mml:math id="M104" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.59</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">1.1 <inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">This study</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">52 <inline-formula><mml:math id="M106" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 1100</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">Plouviez et al. (2017);Burlacot et al. (2020);Bellido-Pedraza et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>C. vulgaris</italic></oasis:entry>
         <oasis:entry rowsep="1" colname="col2">5</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">740 <inline-formula><mml:math id="M107" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 390</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"><inline-formula><mml:math id="M108" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>129 <inline-formula><mml:math id="M109" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 14.0</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">36.2 <inline-formula><mml:math id="M110" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.92</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">24.2 <inline-formula><mml:math id="M111" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.8 <inline-formula><mml:math id="M112" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">This study</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">1000 <inline-formula><mml:math id="M113" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 1700</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">Guieysse et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>M. aeruginosa</italic></oasis:entry>
         <oasis:entry rowsep="1" colname="col2">5</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">510 <inline-formula><mml:math id="M114" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 150</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"><inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>130 <inline-formula><mml:math id="M116" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15.0</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">17.9 <inline-formula><mml:math id="M117" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.80</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">2.12 <inline-formula><mml:math id="M118" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.8</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">1.0 <inline-formula><mml:math id="M119" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 1.7</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">170 <inline-formula><mml:math id="M120" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 230</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">Fabisik et al. (2023)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e883">F represents the F-statistic computed for ANOVA tests of difference. <sup>a</sup> F <inline-formula><mml:math id="M69" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 62, <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>. <sup>b</sup> F <inline-formula><mml:math id="M72" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1200, <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>. <sup>c</sup> F <inline-formula><mml:math id="M75" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 41, <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>. <sup>d</sup> F <inline-formula><mml:math id="M78" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 45, <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

      <p id="d2e1601">Several broadly distributed N<sub>2</sub>O synthesis pathways have been described in microalgae. Microalgal N<sub>2</sub>O synthesis involves the reduction of NO<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> into nitric oxide (NO) and the subsequent reduction of NO into N<sub>2</sub>O. NO synthesis via NOS synthases has previously been ruled out for both <italic>C. vulgaris</italic> and <italic>C. reinhardtii</italic> (Plouviez et al., 2017). In <italic>C. reinhardtii</italic>, NO<inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> reduction into NO, is catalyzed by the dual enzyme nitrate reductase–NO-forming nitrite reductase, NR-NOFNR (Plouviez et al., 2017) or the copper-containing nitrite reductase, NirK (Bellido-Pedraza et al., 2020). In light, NO reduction into N<sub>2</sub>O is mediated by flavodiiron proteins (FLVs) in the chloroplast using electrons from photosynthesis. By contrast, NO reduction into N<sub>2</sub>O, is catalyzed by cytochrome P450 in darkness (Plouviez et al., 2017; Burlacot et al., 2020). The presence of homologous proteins in <italic>C. vulgaris</italic> and <italic>C. reinhardtii</italic> (Bellido-Pedraza et al., 2020) and biochemical evidence from (Guieysse et al., 2013) strongly suggest that <italic>C. vulgaris</italic> and <italic>C. reinhardtii</italic> synthesize N<sub>2</sub>O using a similar biochemical pathway. During our experiment performed in darkness, it is likely that the N<sub>2</sub>O was synthesised via NO reduction by the cytochrome P450, CYP55. Because different enzymes are involved according to the light conditions experienced by eukaryotic microalgae (i.e. FLVs vs cytochrome P450), further research is critically needed to investigate the influence of light on SP-value reported from microalgae.</p>
      <p id="d2e1715">Fabisik et al. (2023) suggested a strong similarity between the biochemical pathways of N<sub>2</sub>O biosynthesis in the cyanobacterium <italic>M. aeruginosa</italic> and in the green microalgae <italic>C. reinhardtii</italic>, with <italic>M. aeruginosa</italic> harbouring homologs of the key proteins (NirK, CYP55, FLVs) involved in N<sub>2</sub>O synthesis in <italic>C. reinhardtii</italic>. However, the vastly different site preferences between the eukaryotic and prokaryotic N<sub>2</sub>O measured (see Sect. 2.3 below) would suggest different proteins are involved in the reduction of NO<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> into N<sub>2</sub>O in eukaryotic and prokaryotic phototrophs. For instance, in eukaryotes, NOR belongs to the cytochrome P450 family. In contrast prokaryotic NORs are related to the haem/copper cytochrome oxidases and these enzymes fall into two subclasses according to the electron donors used (Hendriks et al., 2000). Further research involving, for example, knock out mutants is therefore needed to confirm which protein catalyses the reduction of NO into N<sub>2</sub>O in cyanobacteria. While a similar biochemical pathway to eukaryotic microalgae was suggested by (Fabisik et al., 2023) for <italic>M. aeruginosa</italic>, this remains to be elucidated.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Performance of the modified off-axis integrated-cavity-output spectroscopy analyser after sample preparation on an offline matrix purification and homogenisation system</title>
      <p id="d2e1799">Our analytical approach (Sect. 4) accounts for complex challenges previously reported for this instrument type (Harris et al., 2020). Accuracy and reproducibility of the combined sample purification and laser analysis procedure was verified in each measurement sequence by repeated analysis of a quality control standard. For that purpose, aliquots of USGS52-in-air were decanted in a sampling bag to be extracted, processed and analysed in the same way as the microalgal and cyanobacterial samples. This resulted in eight USGS52-in-air measurements that we used to quantify the reproducibility of SP-N<sub>2</sub>O of 0.4 ‰ as per Werner and Brand (2001) and the accuracy of <inline-formula><mml:math id="M137" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3 ‰ (Fig. 1), which is in agreement with the certified USGS52 value within the measurement uncertainty.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e1820">Reproducibility of the analytical system for all isotopomer species. Diamonds show isotope results from USGS52-in-air measurements used to verify the robustness of the extraction system. Filled circles show measurements of USGS52-in-air as quality control standard during the measurements of unknown samples. Error bars indicate the propagated uncertainty for each measurement. Thick black lines indicate the target value for USGS52 (Table A2). Typical uncertainty (<inline-formula><mml:math id="M138" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>) is calculated as the average of the uncertainties from each individual point in the respective panel.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/497/2026/bg-23-497-2026-f01.png"/>

        </fig>


</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>SP-N<sub>2</sub>O values from <italic>C. vulgaris</italic>, <italic>C. reinhardtii</italic>, and <italic>M. aeruginosa</italic></title>
      <p id="d2e1864">The eukaryotic microalgae (<italic>C. reinhardtii</italic> and <italic>C. vulgaris</italic>) and the cyanobacteria (<italic>M. aeruginosa</italic>) tested synthesized N<sub>2</sub>O and consistently produce a SP-N<sub>2</sub>O  signature meaning there is a clear isotope preference during N<sub>2</sub>O production (Table 1 and Fig. 2). The SP-N<sub>2</sub>O signatures of the eukaryotic microalgae were similar (25.8 <inline-formula><mml:math id="M144" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.59 ‰ and 24.1 <inline-formula><mml:math id="M145" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37 ‰, respectively) and significantly different to the SP-N<sub>2</sub>O from <italic>M. aeruginosa</italic> (2.1 <inline-formula><mml:math id="M147" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.8 ‰), meaning this could indeed be used to distinguish between photosynthetic N<sub>2</sub>O producers.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1958"><bold>(a)</bold> The range of SP-N<sub>2</sub>O reported for different N<sub>2</sub>O production pathways from previously published values (Denk et al., 2017) in white (above dashed line) and obtained from this study in colour (below the dash line). The centre lines of the box show the median, the box edges the quartiles and the whiskers represent minimum/maximum values. <bold>(b)</bold> Findings from this study on the 3D N<sub>2</sub>O isotope composition for microalgae (<italic>C. vulgaris</italic>, <italic>C. reinhardtii</italic>), cyanobacteria (<italic>M. aeruginosa</italic>) and bacterial denitrifier samples, where bulk isotopes (<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-N<sub>2</sub>O and <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-N<sub>2</sub>O) are reported relative to H<sub>2</sub>O (<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-N<sub>2</sub>O – <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-H<sub>2</sub>O) and NO<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-N<sub>2</sub>O – <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-NO<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>), respectively. Error bars represent uncertainty in substrate correction (note <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-N<sub>2</sub>O error bars are too small to visualise, see Table 1 for values). See Table 1 for microalgal and cyanobacterial N<sub>2</sub>O production rates.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/497/2026/bg-23-497-2026-f02.png"/>

        </fig>

      <p id="d2e2185">With several biochemical pathways potentially involved and unknowns (e.g. which protein is involved in <italic>M. aeruginosa</italic> NO reduction to N<sub>2</sub>O), consideration is, however, needed. The similarity of the isotopic signatures from the eukaryotic microalgae could be expected considering that both are chlorophyta, confirming that this division uses a consistent N<sub>2</sub>O biosynthetic pathway (Bellido-Pedraza et al., 2020; Plouviez et al., 2017). Nevertheless, this needs to be further confirmed by testing other chlorophyta and eukaryotic taxons (Timilsina et al., 2022).</p>
      <p id="d2e2210">The SP-value measured for <italic>M. aeruginosa</italic> is similar to that reported by Wang et al. (2024) for the bacteria <italic>P. aeruginosa</italic>, meaning that <italic>M. aeruginosa</italic> could use a similar biochemical pathway for N<sub>2</sub>O synthesis. However, no hits were found from a BLASTP search (BLAST: Basic Local Alignment Search Tool, <uri>https://blast.ncbi.nlm.nih.gov/Blast.cgi</uri>, last access: 4 December 2025) for the flavohemoglobin (A0A0H2ZC95) or NORb (A0A0H2ZLE2) or NORc (A0A0H2ZKE8) involved in NO reduction to N<sub>2</sub>O in <italic>P. aeruginosa</italic> (Wang et al., 2024). While <italic>M. aeruginosa</italic> harbour a homolog to <italic>C. reinhardtii</italic> P450, the difference in SP-value would suggest that a different protein is involved. As suggested in Sect. 2.1, further research is therefore needed to confirm the protein that catalyses the reduction of NO to N<sub>2</sub>O in cyanobacteria.</p>
      <p id="d2e2262">Overall, the values reported in this study are in systematic agreement with SP-N<sub>2</sub>O results from different categories of N<sub>2</sub>O sources. For the eukaryotic microalgae these signatures were distinct from bacterial denitrifiers (Fig. 2). In contrast, cyanobacteria SP-N<sub>2</sub>O overlapped with bacterial denitrifiers. These findings suggest, first, that N<sub>2</sub>O isotopomer data from eutrophic waterways where both cyanobacteria and denitrifiers are likely to be abundant should be interpreted with care, and, second, that SP-N<sub>2</sub>O could be used to untangle microalgal and denitrifier contributions to aquatic N<sub>2</sub>O emissions by comparing environmental signatures to site-specific SP-N<sub>2</sub>O community end-members. Using the full suite of isotopic information within the N<sub>2</sub>O molecule could greatly strengthen environmental identification of algal N<sub>2</sub>O production (see, e.g., Wu et al., 2019): the process potentially uniquely combine “intermediate” SP values with isotopically depleted <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N (which even weak kinetic fractionation during NO<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> reduction to N<sub>2</sub>O would produce given the low yields, Martin and Casciotti, 2016) and enriched <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (oxygen isotope effects are more complex, but high values could reflect oxygen exchange and associated equilibrium fractionation (Rohe et al., 2017; Barford et al., 2017)).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Environmental implications</title>
      <p id="d2e2400">In natural environments, N<sub>2</sub>O can be abiotically produced by chemo-denitrification (Stanton et al., 2018) or photochemically (Leon-Palmero et al., 2025). In addition, N<sub>2</sub>O can be both produced and consumed by organisms (bacteria, fungi, archaea, plants – and algae) with very different life cycles, functions, and growth requirements. These organisms can synthesise N<sub>2</sub>O as an intermediate, by-product, or end-product (Plouviez et al., 2018; Stein and Klotz, 2016; Bakken and Frostegård, 2017; Shan et al., 2021; Butterbach-Bahl et al., 2013), which makes N<sub>2</sub>O emissions particularly difficult to track when simply measuring changes in N<sub>2</sub>O concentration. Empirical reports of contradictory responses to environmental fluctuations highlight the need for process-based measurements in order to accurately predict, and thus manage, aquatic N<sub>2</sub>O emissions. Microalgal N<sub>2</sub>O production could contribute to these seemingly contradictory responses. Preliminary testing of a mixed gas sample from a denitrification reactor and <italic>C. vulgaris</italic> cultures showed that our methodology could provide the tool needed to start untangling this contribution as it will enable identifying and quantifying the source of the N<sub>2</sub>O based on isotopic signatures in a mixed sample (Supplement Sect. S2). Further testing using environmental samples is now needed to establish the suitability of the method for N<sub>2</sub>O process-specific monitoring. As mentioned above, N<sub>2</sub>O can be synthesized via several biotic and abiotic synthetic pathways under natural conditions. To accurately attribute N<sub>2</sub>O sources in complex environments it is therefore essential to consider the full spectrum of biotic and abiotic processes that may contribute to its production.</p>
      <p id="d2e2507">Microalgae, including the ones selected for this study, are ubiquitous in the environment (Fabisik et al., 2023; Hou et al., 2023; Sasso et al., 2018). While we know that microalgae can synthesise N<sub>2</sub>O, we actually know little about the occurrence and environmental significance of microalgal N<sub>2</sub>O synthesis in ecosystems where algae are abundant, such as eutrophic environments (Plouviez et al., 2018). Human-related pollution causes massive eutrophication worldwide (e.g. 30 %–40 % of the world's lakes are affected by eutrophication) so even a relatively “modest” microalgal N<sub>2</sub>O production could be globally significant (DelSontro et al., 2019). Indeed, our findings suggest that some of the fluctuations in SP-N<sub>2</sub>O reported during algae blooms (Glibert et al., 2018; Wang et al., 2023) could be due to N<sub>2</sub>O production by microalgae. Understanding N<sub>2</sub>O emissions from cyanobacteria and microalgae in aquatic ecosystems have, therefore environmental (climate science and nutrient management), and ecological (role of microalgae in N cycling) implications.</p>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e2573">For the first time we characterized the isotopomer signatures of the microalgae <italic>C. reinhardtii</italic>, <italic>C. vulgaris</italic> and the cyanobacteria <italic>M. aeruginosa</italic>. This demonstrate that these phototrophs exhibit clear signatures in isotopomers during N<sub>2</sub>O production. Importantly, the method should now be implemented for field samples to determine the true significance and dynamics of N<sub>2</sub>O synthesis by microalgae in aquatic ecosystems.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Materials and Methods</title>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>Strain and culture maintenance</title>
      <p id="d2e2622"><italic>Axenic Chlamydomonas reinhardtii</italic> 6145 was obtained from the Chlamydomonas resource center (Home – Chlamydomonas Resource Center (<uri>https://chlamycollection.org</uri>, last access: 4 December 2025)). Axenic <italic>Chlorella vulgaris</italic> UTEX 259 and <italic>Microcystis aeruginosa</italic> UTEX 2385 were both obtained from the culture collection of the University of Texas at Austin (<uri>https://utex.org/</uri>, last access: 4 December 2025). Pure cultures were maintained on 250 mL TAP (<italic>C. reinhardtii</italic>, (Plouviez et al., 2017), BG 11 (<italic>C. vulgaris</italic>, Guieysse et al., 2013) and low-phosphate minimal media (<italic>M. aeruginosa</italic>, Cliff et al., 2023) incubated at 25 °C (INFORS HT Multitron) under continuous illumination (20 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol cm<sup>−2</sup> s<sup>−1</sup>) with agitation (150 rotation per minutes, rpm) at a temperature of 25 °C and a CO<sub>2</sub> supply (1 % <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">vol</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">vol</mml:mi></mml:mrow></mml:math></inline-formula>). Cultures thus incubated for 2 weeks were re-suspended on fresh media 50 % <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">vol</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">vol</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="App1.Ch1.S1.SS2">
  <label>A2</label><title>Cultivation and Bioassays</title>
      <p id="d2e2723">The three species were grown as described above for 7 d. Following the protocol described by Guieysse et al. (2013), on the day of the experiment, 15 mL aliquots were withdrawn from the cultures to measure the cell dry weight (DW). Then, 25 mL aliquots were centrifuged at 4400 rpm for 3.5 min. The supernatants were discarded, and the pellets were re-suspended in N-free medium. Twenty-five mL aliquots of these suspensions were transferred into 120 mL serum flasks and supplied 10 mM NaNO<sub>2</sub>. The flasks were immediately sealed with rubber septa and aluminium caps and incubated at 25 °C under continuous agitation (150 rpm) and darkness for 72 h. Unless otherwise stated, cultures were run in triplicates. All glassware and media were autoclaved prior to the experiments.</p>
</sec>
<sec id="App1.Ch1.S1.SS3">
  <label>A3</label><title>GC Analysis</title>
      <p id="d2e2744">Gas samples (5 mL) were withdrawn from the flask headspace using a syringe equipped with a needle. The headspace N<sub>2</sub>O concentration in those samples was then quantified using gas chromatography (Shimadzu GC-2010, Shimadzu, Japan) as described by Fabisik et al. (2023).</p>
</sec>
<sec id="App1.Ch1.S1.SS4">
  <label>A4</label><title>Gas collection and bag preparation</title>
      <p id="d2e2764">In line with (Gruber et al., 2022; Ding et al., 2025), we use aluminium-lined multi-layer foil gas sampling bags (3 L, Restek, <uri>https://www.restek.com/global/en/p/22950</uri>, last access: 4 December 2025). Sample bags were flushed 3 times with instrument grade N<sub>2</sub> (i.e. purity level of at least 99.99 % N<sub>2</sub>). Each bag was then filled with 1 L of instrument grade N<sub>2</sub>. N<sub>2</sub>O gas sample withdrawn from the flasks' headspace were injected in the bag via the septa at the valve using a syringe and needle. Each bag had a final N<sub>2</sub>O concentration between 8 and 16 ppm. The volume injected in each bag was specific to each flask and based on the N<sub>2</sub>O amount measured by the GC (ranging from 2–80 mL for the denitrifier and the eukaryotic microalgal cultures, respectively), before the gas samples were couriered to the National Institute of Water and Atmospheric Research (NIWA) facility in Wellington for SP-N<sub>2</sub>O analysis.</p>
</sec>
<sec id="App1.Ch1.S1.SS5">
  <label>A5</label><title>Cryogenic Extraction of N<sub>2</sub>O from gas Samples for Isotopic Analysis</title>
      <p id="d2e2853">A vacuum extraction line was built at NIWA to prepare the samples for SP-N<sub>2</sub>O analysis (Fig. A1). This was needed to (i) transfer the N<sub>2</sub>O into a natural air matrix to avoid air matrix artefacts, (ii) to remove H<sub>2</sub>O and CO<sub>2</sub> as both species interfere with SP-N<sub>2</sub>O measurements in the analyser, and (iii) to adjust the N<sub>2</sub>O mole fraction to around 1 ppm to minimise N<sub>2</sub>O amount effects (Harris et al., 2020). A mass flow controller (0–300 mL min<sup>−1</sup>, Bronkhorst, The Netherlands) was used to control the flow rate of the sample gas and the N<sub>2</sub>O-free air. A first chemical trap containing magnesium perchlorate (Thermo Scientific, USA) and Ascarite (Sigma Aldrich, USA) was used to removed H<sub>2</sub>O and CO<sub>2</sub>. This is followed by two cryogenic traps made from double loops of stainless-steel tubing with outer diameters of <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> inch (12.7 mm) (T1, large extraction trap) and <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> inch (3.18 mm) (T2, small focus trap) that could be submerged in liquid nitrogen (LN<sub>2</sub>).</p>

      <fig id="FA1" specific-use="star"><label>Figure A1</label><caption><p id="d2e2995">Schematic of the N<sub>2</sub>O extraction line with sample and target bags. The flow pathways for the sample gas are indicated by solid blue arrows.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/497/2026/bg-23-497-2026-f03.png"/>

        </fig>

      <p id="d2e3013">For each sample, the volume of N<sub>2</sub>O required to achieve a mixing ratio of 1 ppm in a 2500 mL mixing volume was calculated based on the measured sample bag mixing ratio. The gas sample was then extracted at a flow rate of 100 mL min<sup>−1</sup> until the required sample amount was processed (solid blue arrows, Fig. A1). This facilitated the trapping of N<sub>2</sub>O molecules in the traps T1 and subsequently in T2, both of which were maintained in LN<sub>2</sub>. Subsequently, the volume of N<sub>2</sub>O-free air required to achieve a 1 ppm concentration was passed through traps T1 and T2 at room temperature at a flow rate of 300  mL min<sup>−1</sup> for 8 min and 20 s, respectively, carrying the extracted N<sub>2</sub>O sample into the target bag.</p>
</sec>
<sec id="App1.Ch1.S1.SS6">
  <label>A6</label><title>Isotopic analysis of N<sub>2</sub>O</title>
<sec id="App1.Ch1.S1.SS6.SSS1">
  <label>A6.1</label><title>SP-N<sub>2</sub>O analyser and considerations of known analytical challenges</title>
      <p id="d2e3121">Site preference in N<sub>2</sub>O (SP-N<sub>2</sub>O) was measured using an optical analyser (model N<sub>2</sub>OIA-23e-EP , Los Gatos Research, USA), referred to as LGR throughout. LGR measures only major isotopologues and neither clumped isotopologues nor <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-N<sub>2</sub>O. This continuous-flow analyser operates at sample flow rates of 80 mL min<sup>−1</sup>, it has an optical cavity volume of <inline-formula><mml:math id="M252" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 900 mL and operates at gas pressures around 57 mbar within the cavity. The LGR responds to pressure changes at the sample inlet port by gradually adjusting the cavity pressure with a time lag, causing a pressure-dependent bias in the reported SP-N<sub>2</sub>O and N<sub>2</sub>O mole fractions (Radu et al., 1998). Moreover, this instrument includes a significant N<sub>2</sub>O concentration bias, where reported isotope values can vary strongly with N<sub>2</sub>O mole fractions (Fig. S2, Supplement Sect. S3), following a non-linear function (Griffith, 2018; Harris et al., 2020). Consequently, differences in gas pressure within the cavity, the presence and amount of interferant gases and in the N<sub>2</sub>O mole fractions between the measurements of samples and reference gases, need to be carefully controlled and accounted for to achieve accurate isotope measurements of the samples (Harris et al., 2020). The following sub-sections describe the required steps to achieve accurate and reproducible isotope measurements using the LGR.</p>
</sec>
<sec id="App1.Ch1.S1.SS6.SSS2">
  <label>A6.2</label><title>Control of cavity pressure and interferants: Modified gas inlet and sample control system</title>
      <p id="d2e3245">To achieve accurate SP-N<sub>2</sub>O measurements a modified sample inlet system was installed inside the LGR (Fig. A2). This modification allowed changing of the LGR operation from continuous flow mode to a discrete mode by switching gas flows using solenoid valves (Series 9 and Series 99, Parker, USA). In discrete mode, the flow scheme includes a cylindrical stainless steel volume of 30 mL, which we refer to as the Mixing Volume (MV) (Fig. A2). Four solenoid valves are welded onto the MV to: (i) inject sample gases and N<sub>2</sub>O-free air into the MV, (ii) to inject the sample into the cavity of the LGR and iii) to connect a vacuum pump (model XDS 35i, Edwards, UK) for evacuation. This pump is also used to evacuate the analyser cavity to <inline-formula><mml:math id="M260" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.02 mbar between samples via a solenoid valve with a large diameter orifice to ensure rapid evacuation (<inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> inch (9.53 mm) orifice, A15 type, Parker, USA) installed at the cavity outlet. The MV was furthermore equipped with a pressure gauge (0–2.5 bar, 21Y model, Keller Pressure, Winterthur, Switzerland). A chemical trap with magnesium perchlorate (Thermo Scientific, USA) and Ascarite (Sigma Aldrich USA) is installed upstream of the sample gas port to remove both H<sub>2</sub>O and CO<sub>2</sub>, respectively, from samples (and reference gases) to below 5 ppm H<sub>2</sub>O and 0.5 ppm CO<sub>2</sub> (Sperlich et al., 2022). A manifold of eight solenoid valves (V100, SMC, Japan) allowed injecting N<sub>2</sub>O-free air, two isotope reference gases for N<sub>2</sub>O, one quality control standard and up to four samples through the scrubber into the MV (Fig. A2). The sample inlet system is fully automated through a LabView interface (National Instruments, Austin, Texas, USA), combining gas control through scripted measurement sequences and the acquisition of all LGR and gas control data within a single output file. With this system, sample and reference gases can be injected into the MV at controlled pressures, achieving an average variation of 0.5 <inline-formula><mml:math id="M268" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 mbar (1<inline-formula><mml:math id="M269" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), resulting in an average magnitude of 0.6 <inline-formula><mml:math id="M270" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7 ‰ (1<inline-formula><mml:math id="M271" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) for the pressure correction of reported SP-N<sub>2</sub>O values.</p>

      <fig id="FA2" specific-use="star"><label>Figure A2</label><caption><p id="d2e3380">Schematic of the LGR N<sub>2</sub>O isotopomer analyser (grey box), showing the installed mixing volume with pressure gauge and solenoid valves for gas handling and dilution. External additions include the scroll pump, as well as a particle filter and a CO<sub>2</sub> scrubber to remove H<sub>2</sub>O and CO<sub>2</sub> in gas samples supplied from the valve manifold.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/497/2026/bg-23-497-2026-f04.png"/>

          </fig>

      <p id="d2e3425">The pressure correction was determined using four gas mixtures with N<sub>2</sub>O mole fractions of 380, 1080, 2100 and 3300 ppb. The effect of variable cell pressure on N<sub>2</sub>O mole fractions and all measured isotope species was linear across the relevant pressure range (Fig. S3, Supplement Sect. S3). However, the slope of that effect changed with the N<sub>2</sub>O mole fraction. Slopes of the pressure corrections for N<sub>2</sub>O and all isotopomer species were determined using polynomial fits (Fig. S3, Supplement Sect. S3).</p>
</sec>
<sec id="App1.Ch1.S1.SS6.SSS3">
  <label>A6.3</label><title>Gases used</title>
      <p id="d2e3472">Gases used for sample preparation or as standards are summarised in Table A1. At the time of publication, reference gases for N<sub>2</sub>O mole fractions exceeding the atmospheric range of <inline-formula><mml:math id="M282" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.35 ppm were not available to our laboratory. Therefore, all N<sub>2</sub>O mole fractions reported in this study are raw data and only used for sample processing purposes. A working standard was prepared by filling a cylinder with clean, Southern Ocean baseline air with the addition of pure N<sub>2</sub>O to achieve a mole fraction of around 1080 ppb. Blocks of this working standard were implemented into each measurement sequence to monitor and correct for instrumental drift. We used “cryogenically purified air” (Praxair, California USA) with a certified N<sub>2</sub>O mole fraction blank of <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M287" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 ppb as N<sub>2</sub>O-free air. N<sub>2</sub>O-free air is used to flush the analyser as well as for the dilution of sample and reference gases.</p>

<table-wrap id="TA1" specific-use="star"><label>Table A1</label><caption><p id="d2e3557">Information on gases used in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="2cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="2cm"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="4.5cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Gas name</oasis:entry>
         <oasis:entry colname="col2">Components</oasis:entry>
         <oasis:entry colname="col3">Origin</oasis:entry>
         <oasis:entry colname="col4">N<sub>2</sub>O molefraction range</oasis:entry>
         <oasis:entry colname="col5">Functional use</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">USGS51-in-air</oasis:entry>
         <oasis:entry colname="col2">USGS51 <inline-formula><mml:math id="M291" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>N<sub>2</sub>O-free air</oasis:entry>
         <oasis:entry colname="col3">USGS (N<sub>2</sub>O) Praxair (N<sub>2</sub>O-free air)</oasis:entry>
         <oasis:entry colname="col4">3.5 ppm</oasis:entry>
         <oasis:entry colname="col5">SP-N<sub>2</sub>O calibration standard</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">USGS52-in-air</oasis:entry>
         <oasis:entry colname="col2">USGS51 <inline-formula><mml:math id="M296" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>N<sub>2</sub>O-free air</oasis:entry>
         <oasis:entry colname="col3">USGS (N<sub>2</sub>O) Praxair (N<sub>2</sub>O-free air)</oasis:entry>
         <oasis:entry colname="col4">3.5 ppm</oasis:entry>
         <oasis:entry colname="col5">SP-N<sub>2</sub>O calibration standard</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">1080</oasis:entry>
         <oasis:entry colname="col2">Natural air <inline-formula><mml:math id="M301" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> pure N<sub>2</sub>O</oasis:entry>
         <oasis:entry colname="col3">NIWA (natural air) BOC (pure N<sub>2</sub>O)</oasis:entry>
         <oasis:entry colname="col4">1.080 ppm</oasis:entry>
         <oasis:entry colname="col5">Working standard, instrument drift</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">N<sub>2</sub>O-free air</oasis:entry>
         <oasis:entry colname="col2">Cryogenically purifiednatural air</oasis:entry>
         <oasis:entry colname="col3">Praxair (N<sub>2</sub>O-free air)</oasis:entry>
         <oasis:entry colname="col4">N<sub>2</sub>O-free</oasis:entry>
         <oasis:entry colname="col5">Gas dilution, instrument flushing</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3831">The instrument was calibrated for SP-N<sub>2</sub>O, <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<sub><italic>α</italic></sub>-N<sub>2</sub>O, <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<sub><italic>β</italic></sub>-N<sub>2</sub>O, <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<sub>bulk</sub>-N<sub>2</sub>O, and <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-N<sub>2</sub>O using USGS51 and USGS52 (Ostrom et al., 2018), purchased from the US Geological Survey and with isotope values shown in Table A2. Aliquots of both gases were transferred into 30 L Luxfer cylinders (Praxair, California USA) and diluted with N<sub>2</sub>O-free air to target mole fractions of 3.5 ppm. This resulted in two cylinders, one each with USGS51-in-air and USGS52-in-air mixtures at filling pressures of 40 bar, for which we applied the isotope values (Table A2) of the USGS51 and USGS52 certification (Ostrom et al., 2018).</p>

<table-wrap id="TA2" specific-use="star"><label>Table A2</label><caption><p id="d2e3965">Certified SP-N<sub>2</sub>O values for USGS51 and USGS52, adopted for the USGS51-in-air and USGS52-in-air reference gases (Ostrom et al., 2018) and used for value assignment of the reported measurements in a 2-point calibration for SP-N<sub>2</sub>O. Both <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-N<sub>2</sub>O and <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-N<sub>2</sub>O are determined in a 1-point calibration based on USGS51 only.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Gas name</oasis:entry>
         <oasis:entry colname="col2">SP-N<sub>2</sub>O</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-N<sub>2</sub>O</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<sup><italic>α</italic></sup>-N<sub>2</sub>O</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<sup><italic>β</italic></sup>-N<sub>2</sub>O</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-N<sub>2</sub>O</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">USGS51</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M337" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.67‰</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> ‰</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.48</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> ‰</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.15</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn></mml:mrow></mml:math></inline-formula> ‰</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">41.23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> ‰</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">USGS52</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">26.15</mml:mn></mml:mrow></mml:math></inline-formula> ‰</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> ‰</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">13.52</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> ‰</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M345" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.64 <inline-formula><mml:math id="M346" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05 ‰</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">40.64</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ‰</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="App1.Ch1.S1.SS6.SSS4">
  <label>A6.4</label><title>Matching N<sub>2</sub>O amounts in samples and reference gas to minimise N<sub>2</sub>O amount correction</title>
      <p id="d2e4367">Following the extraction, purification and dilution, all samples were connected to the sample inlets on the LGR and tested for their N<sub>2</sub>O mole fraction first. N<sub>2</sub>O mole fraction values were used to calculate the dilution factor needed to match N<sub>2</sub>O mole fractions between each sample and each bracketing reference gas measurement. These dilution factors are incorporated into each measurement sequence to control valve switching times and target pressures during the injection of samples, reference gases and N<sub>2</sub>O-free air into the MV. For example, the target N<sub>2</sub>O mole fraction in the extracted samples was 1 ppm. With a N<sub>2</sub>O mole fraction of 3.5 ppm in the USGS51-in-air reference gas, the latter needed to be diluted with N<sub>2</sub>O-free air to match the mole fraction of the sample of 1 ppm. The system achieved average N<sub>2</sub>O mole fraction matches within 61 <inline-formula><mml:math id="M358" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 42 ppb (1<inline-formula><mml:math id="M359" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), resulting in an average correction of 1.4 <inline-formula><mml:math id="M360" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9 ‰ (1<inline-formula><mml:math id="M361" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) for SP-N<sub>2</sub>O. While this strategy is technically cumbersome, it minimises the uncertainty of applying N<sub>2</sub>O amount corrections, which is non-linear, time-variable and found to have a magnitude between 5 ‰ and 25 ‰ when the mole fraction ranges from 0.45 to 1.5 ppm. Fig. S2 (Supplement Sect. S3) shows isotope values determined within each measurement sequence when determining the N<sub>2</sub>O amount effect. While the variability on a single day can be very small, this artefact shows considerable variability with time and therefore needs regular quantifying.</p>
</sec>
<sec id="App1.Ch1.S1.SS6.SSS5">
  <label>A6.5</label><title>Controlling N<sub>2</sub>O mole fraction bias and instrumental drift in measurement sequence and protocol</title>
      <p id="d2e4517">A schematic overview of the measurement sequences is shown in Supplement Sect. S4. Measurement sequences comprise of a series of measurement blocks of isotope reference gases, working standards and samples. Each gas sample was injected into the pre-evacuated cell of the LGR, before being locked in and measured for ten minutes before the cell was evacuated and flushed with N<sub>2</sub>O-free air in preparation for the consecutive analysis. Up to five blocks of the working standard (1080) are measured within each sequence to monitor instrumental drift. Following the first 1080 block, the N<sub>2</sub>O amount correction function is determined. For that, reference gases are diluted with N<sub>2</sub>O-free air inside the MV without changing their isotopic composition prior to their injection into the LGR. USGS51-in-air and USGS52-in-air are each analysed at five N<sub>2</sub>O mole fraction levels over a range of 0.33 to 1.5 ppm with five repetitions per N<sub>2</sub>O level. This is followed by measurements of up to four samples, each of which is bracketed by blocks of ten USGS51-in-air measurements at matching N<sub>2</sub>O mole fractions. The pathway to inject samples and reference gases includes further purification with a chemical scrubber and all steps of gas handling and analysis follow the principle of identical treatment (PIT) (Werner and Brand, 2001) as much as possible.</p>
</sec>
<sec id="App1.Ch1.S1.SS6.SSS6">
  <label>A6.6</label><title>Data processing</title>
      <p id="d2e4583">The LabView interface generates a data file including all raw data from the LGR as well as sample handling data and instrument performance data from the sample inlet with a time resolution of 1 Hz. Data processing starts with data reduction to generate averages for all output data. Next, all data are corrected for variation in cell pressure, following the experimentally determined, linear correction function. Thereafter, the pressure-corrected measurements of the N<sub>2</sub>O amount effect determination are assessed for analyser drift using the first three blocks of the 1080 ppb working standard. A correction is only applied when the drift effect is significant and exceeds twice the measurement reproducibility in SP-N<sub>2</sub>O (<inline-formula><mml:math id="M374" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1 ‰). The next step normalises the isotope values of the samples relative to the bracketing USGS51-in-air measurements and applies the correction for N<sub>2</sub>O mole fraction differences. The final step applies the N<sub>2</sub>O mole fraction correction to the data from the N<sub>2</sub>O amount effect determination, resulting in fully corrected measurements of USGS51-in-air and USGS52-in-air, which are then used for a two-point calibration to the SP-N<sub>2</sub>O values of the samples. Because the range of <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values covered by USGS51 and USGS52 is too small for a two-point calibration, we determined the <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-N<sub>2</sub>O and <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-N<sub>2</sub>O results from our samples based on a one-point calibration using USGS51-in-air.</p>
      <p id="d2e4711">Similar to Rohe et al. (2017) and Lewicka-Szczebak et al. (2017), bulk isotope values (<inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-N<sub>2</sub>O and <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-N<sub>2</sub>O) are reported relative to the nitrite substrate (<inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-NO<inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and incubation water (<inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-H<sub>2</sub>O), respectively. During our study <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-H<sub>2</sub>O was estimated from local surface water <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-H<sub>2</sub>O composition, which ranges from <inline-formula><mml:math id="M397" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6 ‰ to <inline-formula><mml:math id="M398" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7 ‰ (Baisden et al., 2016; Whitehead and Booker, 2020; Yang et al., 2020). As all experiments were run using the same NaNO<sub>2</sub> substrate, the <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-NO<inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> composition was estimated by applying the range of reported denitrifying NO<inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to N<sub>2</sub>O enrichment factors (<inline-formula><mml:math id="M404" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>12 ‰ (Wei et al., 2019) to <inline-formula><mml:math id="M405" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>39 ‰ (Sutka et al., 2003)) to the <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-N<sub>2</sub>O composition measured from bacterial denitrification. This yielded a likely <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-NO<inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> range from <inline-formula><mml:math id="M410" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.4 ‰ to <inline-formula><mml:math id="M411" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>28.4‰. Accordingly, the reported variability in bulk isotope values from our study primarily reflects uncertainty in source values rather than measurement or environmental variability.</p>
</sec>
<sec id="App1.Ch1.S1.SS6.SSS7">
  <label>A6.7</label><title>Measurement reproducibility, accuracy and propagated uncertainty</title>
      <p id="d2e4987">For SP-N<sub>2</sub>O in each sample, we derived the total uncertainty (<inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) by propagating all contributing uncertainties as the square root of the sum of squares:

              <disp-formula id="App1.Ch1.S1.E1" content-type="numbered"><label>A1</label><mml:math id="M414" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SQRT</mml:mi><mml:mo>(</mml:mo><mml:msubsup><mml:mi>U</mml:mi><mml:mi mathvariant="normal">sam</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>U</mml:mi><mml:mtext>REF_a</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>U</mml:mi><mml:mtext>REF_b</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>U</mml:mi><mml:mtext>p-corr</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msubsup><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>O-amount-corr</mml:mtext></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>U</mml:mi><mml:mtext>REF_span</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>×</mml:mo><mml:msubsup><mml:mi>F</mml:mi><mml:mi mathvariant="normal">SPAN</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            Where <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">sam</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mtext>REF_a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mtext>REF_b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mtext>REF_span</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> represent the standard deviations (1<inline-formula><mml:math id="M419" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) of the measurements of the samples, the two bracketing USGS51-in-air reference gases before (_a) and after (_b) the sample measurement, as well as the USGS52-in-air measurement used for the final isotope span correction for SP-N<sub>2</sub>O, respectively. <inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi mathvariant="normal">SPAN</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> is the factor of the span correction. <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mtext>p-corr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext>-amount-corr</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represent the uncertainties of the correction for gas pressure variation in the cell as well as the N<sub>2</sub>O amount effect, which are calculated as the standard error of the mean of the residuals of each correction function. Uncertainties of <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values are calculated in the same way, except they do not include the uncertainty of USGS52-in-air as a two-point calibration is not applied. Typical values of the propagated uncertainty (1<inline-formula><mml:math id="M427" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) exceed the reproducibility by a factor of <inline-formula><mml:math id="M428" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2–3 (Fig. 1).</p>
</sec>
</sec>
</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e5261">All the data from our study are presented numerically in the paper and in the Supplement. The data is also publicly available: <ext-link xlink:href="https://doi.org/10.6084/m9.figshare.30644297" ext-link-type="DOI">10.6084/m9.figshare.30644297</ext-link> (Wells et al., 2025).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e5267">Supplement Sect. S1: Denitrifiers cultures; Supplement Sect. S2: Analytical blind test using isotope analysis to determine fractions of N<sub>2</sub>O from two biological sources in a gas mixture; Supplement Sect. S3: N<sub>2</sub>O and isotopomers measurements bias due to N<sub>2</sub>O amount and cell pressure dependence; Supplement Sect. S4: Measurements sequence followed. The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-23-497-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-23-497-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5303">MP and PS performed the investigation, data visualization and curation and were involved with the writing (original draft) and contributed to conceptualization, methodology and data curation, as well as visualization with NW, BG and TC. RP provided support with gas samples preparation and spectroscopy analyses. NW, BG, RP and TC were involved in the writing (review and editing) of the paper before submission. Finally, all authors except RP were involved with the funding acquisition.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5309">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="d2e5315">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><ack><title>Acknowledgements</title><p id="d2e5321">We gratefully acknowledge invaluable support and discussions during the development of the SP-N<sub>2</sub>O instrument from Mike Harvey, Ross Martin, John McGregor and Colin Nankivell. The research was supported by Massey University, Lincoln University and NIWA. The Cawthron Institute is also acknowledged to support part of that research.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5335">This research has been supported by the Massey – Lincoln and Agricultural Industry Trust (46524), the Royal Society Te Apārangi Marsden Fund (MFP-LIU2102) and NIWA's Strategic Science Investment Funding through the Understanding Atmospheric Composition and Change programme.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5341">This paper was edited by Steven Bouillon and Sara Vicca and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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