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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-23-6705-2026</article-id><title-group><article-title>High nitrous oxide isotopic variability during denitrification by <italic>Pseudomonas</italic> species bearing NirK and NirS</article-title><alt-title>N<sub>2</sub>O isotopic variability during denitrification</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Chénier</surname><given-names>Noémy</given-names></name>
          <email>noemy.chenier@empa.ch</email>
        <ext-link>https://orcid.org/0000-0001-8854-7294</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Magyar</surname><given-names>Paul M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0234-247X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Zopfi</surname><given-names>Jakob</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8437-7344</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Frey</surname><given-names>Claudia</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3544-3800</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Kuhn</surname><given-names>Thomas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lehmann</surname><given-names>Moritz F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Mohn</surname><given-names>Joachim</given-names></name>
          <email>joachim.mohn@empa.ch</email>
        <ext-link>https://orcid.org/0000-0002-9799-1001</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Laboratory for Air Pollution/Environmental Technology, Empa, Überlandstrasse 129, Dübendorf, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Aquatic and Isotope Biogeochemistry, University of Basel, Bernoullistrasse 30, Basel, Switzerland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Noémy Chénier (noemy.chenier@empa.ch) and Joachim Mohn (joachim.mohn@empa.ch)</corresp></author-notes><pub-date><day>24</day><month>September</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>18</issue>
      <fpage>6705</fpage><lpage>6724</lpage>
      <history>
        <date date-type="received"><day>31</day><month>March</month><year>2026</year></date>
           <date date-type="rev-request"><day>4</day><month>May</month><year>2026</year></date>
           <date date-type="rev-recd"><day>24</day><month>July</month><year>2026</year></date>
           <date date-type="accepted"><day>30</day><month>August</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Noémy Chénier 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/23/6705/2026/bg-23-6705-2026.html">This article is available from https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e156">Nitrous oxide (N<sub>2</sub>O) isotopocules provide key insights into microbial nitrogen cycling, but their interpretation requires well-constrained values for both oxygen isotope signatures (<inline-formula><mml:math id="M3" 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 intramolecular <sup>15</sup>N site preference (SP) associated with N<sub>2</sub>O production pathways. Site preference is widely used to distinguish N<sub>2</sub>O formation pathways because bacterial denitrification is generally assumed to yield SP values near 0 ‰ through canonical NorB-mediated NO reduction. However, the extent to which SP remains stable across physiological states and changing NO reduction pathways remains poorly constrained. Likewise, interpretation of <inline-formula><mml:math id="M8" 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 associated with denitrification requires understanding the relative contributions of branching kinetic isotope effects and oxygen atom exchange between nitrite and water during N<sub>2</sub>O formation.</p>

      <p id="d2e245">Here, we investigated N<sub>2</sub>O isotopic signatures during denitrification by <italic>Pseudomonas aureofaciens</italic> (NirK-bearing) and <italic>Pseudomonas chlororaphis</italic> (NirS-bearing) under active-growth and resuspension conditions using quantum cascade laser absorption spectroscopy (QCLAS) and isotope ratio mass spectrometry (IRMS). SP tracked canonical NorB-mediated NO reduction but transiently increased above <inline-formula><mml:math id="M12" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>10 ‰ during early N<sub>2</sub>O production, suggesting temporary activity of alternative NO reductases. These dynamics were only resolved through continuous QCLAS measurements, highlighting the importance of time-resolved isotopic observations. While SP remains a useful indicator of NO reduction mechanisms, these results show that even within denitrification, shifts between NO reduction pathways may lead to variable SP signatures.</p>

      <p id="d2e279">In parallel, we quantified oxygen atom exchange between nitrite and water using incubations prepared in natural-abundance and <sup>18</sup>O-enriched water. Contrary to expectations from denitrifier-method studies, <italic>P. aureofaciens</italic> exhibited substantial and highly variable oxygen-atom exchange (38 %–100 %), far exceeding previously reported values (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> %). In contrast, <italic>P. chlororaphis</italic> showed consistently high but less variable exchange (<inline-formula><mml:math id="M16" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 66 %). Resuspension experiments reproduced the characteristic low- and high-exchange behavior reported for these strains under denitrifier-method conditions, demonstrating that these exchange values are specific to the methodological framework and not representative of actively growing systems. These results show that oxygen atom exchange is not governed solely by nitrite reductase identity (NirS vs. NirK) but is strongly modulated by physiological state and metabolic context, including active growth versus stationary-phase resuspension and differences in nitrite turnover. As a result, <inline-formula><mml:math id="M17" 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 cannot be interpreted as a fixed tracer of denitrification pathways outside the constrained conditions of the denitrifier method.</p>

      <p id="d2e335">Together, these findings suggest that denitrifying bacteria may generate N<sub>2</sub>O with a broader range of <inline-formula><mml:math id="M20" 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 SP than previously assumed. This calls for a reassessment of N<sub>2</sub>O isotopocule interpretations and emphasizes the need to integrate isotopic measurements with physiological and biochemical constraints.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung</funding-source>
<award-id>200020_204907</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="d2e387">The intensification of agriculture and fossil fuel combustion over the past century has fundamentally altered the global nitrogen (N) cycle, leading to increased emissions of nitrous oxide (N<sub>2</sub>O), a potent greenhouse gas and stratospheric ozone-depleting substance (IPCC, 2023; WMO, 2024). Microbial processes, particularly denitrification – the sequential reduction of nitrate (NO<inline-formula><mml:math id="M24" 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>) to dinitrogen (N<sub>2</sub>) via nitrite (NO<inline-formula><mml:math id="M26" 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>), nitric oxide (NO), and N<sub>2</sub>O – account for most anthropogenic N<sub>2</sub>O emissions (Denman et al., 2007; Reay et al., 2012). However, apportioning N<sub>2</sub>O sources among microbial and abiotic pathways remains challenging due to the diversity of processes involved (Yu et al., 2020).</p>
      <p id="d2e460">Stable isotope analysis of N<sub>2</sub>O provides an important tool to trace microbial processes and identify N<sub>2</sub>O sources. Bulk <inline-formula><mml:math id="M32" 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="M33" 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 integrate information on substrate origin and isotope fractionation during N<sub>2</sub>O formation (Sutka et al., 2006; Toyoda et al., 2005; Denk et al., 2016). In multistep pathways such as denitrification, the apparent isotope effect reflects the combined influence of multiple enzymatic reactions (Ostrom and Ostrom, 2011). The intramolecular site preference (SP), defined as the difference in <sup>15</sup>N abundance between the central (<inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>) and terminal (<inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>) positions in N<sub>2</sub>O (Yoshida and Toyoda, 2000), is widely used to distinguish microbial formation pathways as it is considered to be largely substrate-independent. Bacterial denitrification typically yields SP values near 0 ‰, whereas fungal denitrification, hydroxylamine oxidation, and abiotic nitrite reactions, including chemodenitrification, can produce higher or more variable SP values  (Toyoda et al., 2005; Frame and Casciotti, 2010; Ostrom and Ostrom, 2011; Jones et al., 2015; Toyoda et al., 2017; Wei et al., 2019; Yu et al., 2020). Recent work has further highlighted the importance of Fe(II)-mediated nitrite transformations and their potential contribution to abiotic N<sub>2</sub>O formation under environmentally relevant conditions (Visser et al., 2020). These low SP values are generally attributed to NO reduction by the canonical nitric oxide reductase NorB. However, recent work has shown that alternative NO detoxification pathways, particularly via flavohemoglobins (Fhp), can produce elevated SP values under high-NO conditions (Wang et al., 2024). These reactions do not represent a separate environmental pathway, but rather an alternative enzymatic fate of NO within denitrifying organisms. Together, these findings demonstrate that while SP remains a powerful discriminator of broad N<sub>2</sub>O formation mechanisms, its expression may be more sensitive to which enzymes are involved and to physiological state than is typically assumed.</p>
      <p id="d2e563">In contrast, the oxygen isotopic composition of N<sub>2</sub>O (<inline-formula><mml:math id="M42" 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) reflects both NO reduction by NorB and the preceding transformations of nitrate and nitrite, and depends on the balance between nitrate-derived oxygen, nitrite–water exchange, and branching isotope effects. The extent of oxygen atom exchange between nitrite and water prior to NO reduction is a particular point of variation. Among denitrifiers, two structurally distinct nitrite reductases are found: the cytochrome cd<sub>1</sub>-type NirS and the copper-containing NirK. Differences in oxygen isotope exchange between nitrogen oxide intermediates and ambient water have often been attributed to Nir identity, largely based on observations from the denitrifier method developed for nitrate <inline-formula><mml:math id="M45" 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="M46" 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> isotope analysis (Casciotti et al., 2002). Under these stationary-phase, washed-cell conditions, <italic>Pseudomonas chlororaphis</italic> subsp. <italic>chlororaphis</italic> (NirS) incorporates a large fraction of oxygen from water into N<sub>2</sub>O (39 %–76 %), whereas the closely related <italic>Pseudomonas chlororaphis</italic> subsp. <italic>aureofaciens</italic> (NirK) shows minimal exchange (<inline-formula><mml:math id="M48" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 6 %). This contrast has often been interpreted as evidence that NirS and NirK differ systematically in their influence on <inline-formula><mml:math id="M49" 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 expression (Kool et al., 2007; Gruber et al., 2022). However, this inference is based on a narrow experimental framework and has not been systematically tested under active growth conditions. Earlier microbiological studies (e.g., Ye et al., 1991) and more recent work in soils and pure cultures report substantial variability in oxygen atom exchange behavior that cannot be explained by a simple NirK–NirS dichotomy (Lewicka-Szczebak et al., 2016; Rohe et al., 2017; Yu et al., 2020). Whether observed <inline-formula><mml:math id="M51" 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 variability reflects intrinsic enzyme properties or instead arises from physiological state, substrate availability, and reaction dynamics therefore remains unresolved.</p>
      <p id="d2e712">The denitrifier method not only provides well-established information on the behavior of NirS- and NirK-bearing denitrifiers but also serves as a calibration framework for isotopic analyses. Complete conversion of nitrate to N<sub>2</sub>O allows direct determination of <inline-formula><mml:math id="M54" 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="M55" 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> from <inline-formula><mml:math id="M56" 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 (Sigman et al., 2001). For oxygen isotopes, however only one of the six oxygen atoms originally present in the combined nitrate pool is retained in N<sub>2</sub>O, while the others are abstracted and transferred to water during reduction. Under controlled conditions where oxygen atom exchange is low and invariant, the offset between <inline-formula><mml:math id="M59" 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–NO<inline-formula><mml:math id="M60" 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> and <inline-formula><mml:math id="M61" 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 remains constant, enabling correction of <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 measurements (Casciotti et al., 2002). This approach implicitly assumes that oxygen atom exchange remains stable across experimental conditions. If exchange varies with physiological state or reaction dynamics, the <inline-formula><mml:math id="M65" 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 offset is no longer constant, and <inline-formula><mml:math id="M67" 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 cannot be interpreted as a fixed tracer of nitrite reductase identity. Understanding the controls on oxygen atom exchange during denitrification is therefore important both for interpreting <inline-formula><mml:math id="M69" 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 signatures and for evaluating the growth conditions under which the denitrifier method yields reliable results.</p>
      <p id="d2e903">In this study, we investigate how nitrite reductase type, substrate availability, and growth phase influence N<sub>2</sub>O isotopic signatures in two closely related denitrifier strains, <italic>P. aureofaciens</italic> and <italic>P. chlororaphis</italic>, both lacking NosZ and therefore accumulating N<sub>2</sub>O. We combine (i) real-time measurements of <inline-formula><mml:math id="M73" 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="M74" 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 SP using quantum cascade laser absorption spectroscopy (QCLAS) with (ii) isotope ratio mass spectrometry (IRMS) analysis of the accumulated product in closed batch incubations to compare active growth and resuspension conditions. This experimental design allows us to separate the effects of physiological state during active growth from those associated with washed-cell resuspension conditions during N<sub>2</sub>O production.</p>
      <p id="d2e962">Together, this approach addresses a central question: to what extent do N<sub>2</sub>O isotopic signatures reflect intrinsic enzyme properties versus differences associated with physiological state and experimental conditions? Resolving this distinction is critical for evaluating the validity and limitations of widely used interpretive frameworks, including the proposed relationship between nitrite reductase identity (NirK/NirS) and the degree of oxygen atom exchange with water and the broader applicability of the denitrifier method, and the interpretation of SP as a stable proxy for NorB-mediated NO reduction.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Material &amp; Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>General experimental framework</title>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Bacterial strains</title>
      <p id="d2e997"><italic>Pseudomonas chlororaphis</italic> subsp. <italic>aureofaciens</italic> (formerly <italic>P. aureofaciens</italic>, ATCC 13985) and <italic>Pseudomonas chlororaphis</italic> subsp. <italic>chlororaphis</italic> (formerly <italic>P. chlororaphis</italic>, ATCC 9446) were obtained from the University of Basel Aquatic and Isotope Biogeochemistry culture collection. Growth protocols were adapted from the denitrifier method (Sigman et al., 2001; Casciotti et al., 2002; Weigand et al., 2016).</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Overview of the experiments</title>
      <p id="d2e1025">Two complementary incubation approaches were used to determine how species identity and physiological state influence N<sub>2</sub>O isotopic signatures. All experiments were performed in either natural-abundance water (nat) or <sup>18</sup>O-enriched water (en), and all media are described in Sect. 2.1.3.</p>
      <p id="d2e1046">Experiment codes follow the structure X_species_water, where <inline-formula><mml:math id="M79" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> can be GF for gas flushed incubations or CB denotes closed-batch incubation, CB-R denotes a resuspension assay in which actively grown cultures were harvested by centrifugation and resuspended in a defined nitrate-containing medium, following an approach adapted from the denitrifier method used to analyse the N and O isotopic composition of nitrate (Sigman et al., 2001; Casciotti et al., 2002; Weigand et al., 2016), CB-RS indicates a resuspension assay using nitrate reference standards. Species can be <italic>aur</italic> or <italic>chlor</italic>, which denotes <italic>P. aureofaciens</italic> and <italic>P. chlororaphis</italic>, respectively, and water can be <italic>nat</italic> and <italic>en</italic> indicating natural-abundance or <sup>18</sup>O-enriched water.</p>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e1087"><italic>Overview of experimental conditions for gas-flushed (GF) and closed-batch (CB) incubations.</italic> Experiments were conducted with <italic>P. aureofaciens</italic> (P. aur) and <italic>P. chlororaphis</italic> (P. chlor) using natural-abundance (nat) or <sup>18</sup>O-enriched (en) water. Gas flushed incubations (GF_aur_nat, GF_aur_en, GF_chlor_nat) were performed during active growth under continuous N<sub>2</sub> stripping. Closed-batch incubations include: (i) active-growth experiments in natural-abundace or <sup>18</sup>O-enriched water (CB_aur_nat, CB_chlor_nat, CB_aur_en, CB_chlor_en); (ii) stationary-phase resuspension experiments in natural-abundance or <sup>18</sup>O-enriched water (CB-R_aur_nat, CB-R_chlor_nat, CB-R_aur_en, CB-R_chlor_en); and (iii) nitrate-standard resuspension assays (CB-RS_aur, CB-RS_chlor) using USGS32, USGS34, IAEA-N3, and <sup>18</sup>O-enriched IAEA-N3 (IAEA-N3-spiked).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Experiment ID</oasis:entry>
         <oasis:entry colname="col2">Variant</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M98" 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 (‰)</oasis:entry>
         <oasis:entry colname="col4">Replicates <inline-formula><mml:math id="M100" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4">Gas flushed incubations (GF) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GF-aur_nat</oasis:entry>
         <oasis:entry colname="col2">P. aur</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M101" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GF-aur_en</oasis:entry>
         <oasis:entry colname="col2">P. aur</oasis:entry>
         <oasis:entry colname="col3">68.3</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">GF3-chlor_nat</oasis:entry>
         <oasis:entry colname="col2">P. chlor</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4">Closed batch incubations (CB) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CB-aur_en</oasis:entry>
         <oasis:entry colname="col2">P. aur</oasis:entry>
         <oasis:entry colname="col3">73.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CB-chlor_en</oasis:entry>
         <oasis:entry colname="col2">P. chlor</oasis:entry>
         <oasis:entry colname="col3">73.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CB-aur_nat</oasis:entry>
         <oasis:entry colname="col2">P. aur</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M108" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CB-chlor_nat</oasis:entry>
         <oasis:entry colname="col2">P. chlor</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M110" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CB-R-aur_nat</oasis:entry>
         <oasis:entry colname="col2">P. aur</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M112" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CB-R-chlor_nat</oasis:entry>
         <oasis:entry colname="col2">P. chlor</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M114" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CB-RS_aur</oasis:entry>
         <oasis:entry colname="col2">P. aur</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">780</mml:mn><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CB-RS_chlor</oasis:entry>
         <oasis:entry colname="col2">P. chlor</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">780</mml:mn><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e1144"><sup>*</sup> For <sup>18</sup>O-enriched resuspension assays with IAEA-N3-spiked, incubation water was prepared by mixing natural water (<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:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5 ‰) with <sup>18</sup>O-enriched water (<inline-formula><mml:math id="M92" 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="M93" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M94" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>780 ‰), yielding a final <inline-formula><mml:math id="M95" 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 of <inline-formula><mml:math id="M97" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>187.8 ‰ (see Sect. 2.1.4).</p></table-wrap-foot></table-wrap>

      <p id="d2e1666">Gas-flushed (GF) incubations (GF_aur_nat, GF_aur_en, GF_chlor_nat) were conducted in a temperature-controlled bioreactor under continuous N<sub>2</sub> stripping, allowing real-time quantification of N<sub>2</sub>O concentration and isotopic composition during active growth (Fig. 1).</p>
      <p id="d2e1687">Closed-batch (CB) incubations (CB_aur_nat, CB_chlor_nat, CB_aur_en, CB_chlor_en, CB-R_aur_nat, CB-R_chlor_nat, CB-RS_aur, CB-RS_chlor) were conducted in sealed vials and served three purposes. First, active-growth closed-batch incubations (CB_aur_nat, CB_chlor_nat, CB_aur_en, CB_chlor_en) were conducted in active-growth medium to generate cumulative N<sub>2</sub>O for quantifying water–nitrite oxygen exchange during growth. Second, for stationary-phase resuspension incubations (CB-R_aur_nat, CB-R_chlor_nat), cultures were harvested by centrifugation (4700 rpm, 10 min) and resuspended in a defined nitrate medium prepared in natural-isotope-abundance water. Third, nitrate-standard resuspension assays (CB-RS_aur, CB-RS_chlor) replaced KNO<sub>3</sub> with USGS32, USGS34, IAEA-N3, or <sup>18</sup>O-enriched IAEA-N3 (see Sect. 2.1.4).</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Media composition and resuspension procedure</title>
      <p id="d2e1725">Two distinct media formulations were used depending on experimental objective: an active-growth medium for gas-flushed and closed-batch incubations, and a defined resuspension medium for stationary-phase assays and nitrate-standard experiments. Active growth was carried out in a denitrifier-method medium formulation (Weigand et al., 2016) containing final concentrations of 10 mM KNO<sub>3</sub>, 15 mM NH<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> supplied as (NH<sub>4</sub>)<sub>2</sub>SO<sub>4</sub>, 30 g L<sup>−1</sup> tryptic soy broth (TSB, Merck Germany), and 5 g L<sup>−1</sup> K<sub>2</sub>HPO<sub>4</sub>. Cultures grown in this medium reduced nitrate quantitatively and produced N<sub>2</sub>O for isotopic analysis.</p>
      <p id="d2e1828">For stationary-phase resuspension incubations, actively grown cultures were harvested by centrifugation and resuspended in a simplified medium  (Weigand et al., 2016) containing 7.5 mM NH<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> supplied as NH<sub>4</sub>Cl, 30 g L<sup>−1</sup> TSB, and 5 g L<sup>−1</sup> K<sub>2</sub>HPO<sub>4</sub> in the final solution. Cell pellets were resuspended in 3 mL of this medium in 20 mL crimp-sealed vials. Vials were purged with N<sub>2</sub> for <inline-formula><mml:math id="M142" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 h to establish an anoxic headspace and to remove pre-existing gaseous products (including N<sub>2</sub>O) prior to initiating the incubation. The resuspension protocol was adapted from the denitrifier method; after purging, 20 nmol KNO<sub>3</sub> was added, and cultures were incubated overnight to allow quantitative conversion to N<sub>2</sub>O. Thereafter, N<sub>2</sub>O was analyzed by GC-IRMS from the vial headspace.</p>
      <p id="d2e1948">For CB_RS_aur and CB_RS_chlor (closed-batch resuspension assays converting nitrate reference standards with <italic>P. aureofaciens</italic> and <italic>P. chlororaphis</italic>, respectively; experiment codes defined in Sect. 2.1.3 and Table 1), the same resuspension procedure was used, except that the nitrate substrate (20 nmol KNO<sub>3</sub>) was replaced with 20 nmol of an international nitrate isotope reference standard (USGS32, USGS34, IAEA-N3, or <sup>18</sup>O-enriched IAEA-N3-spike).</p>
</sec>
<sec id="Ch1.S2.SS1.SSS4">
  <label>2.1.4</label><title>Characterization of <sup>18</sup>O-labelled water</title>
      <p id="d2e1993">Oxygen exchange between reaction intermediates and water in both GF and CB experiments was assessed using replicate incubations in natural-abundance and <sup>18</sup>O-enriched water. The natural water used for all baseline incubations had a <inline-formula><mml:math id="M151" 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 <inline-formula><mml:math id="M153" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M154" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.51 <inline-formula><mml:math id="M155" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.22 ‰. Two batches of <sup>18</sup>O-enriched water were prepared and used: one with <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–H<sub>2</sub>O <inline-formula><mml:math id="M159" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M160" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>68.31 <inline-formula><mml:math id="M161" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17 ‰, and a second with <inline-formula><mml:math id="M162" 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 <inline-formula><mml:math id="M164" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M165" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>73.53 <inline-formula><mml:math id="M166" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.29 ‰ (Table 1). For nitrate-standard experiments (CB-RS-aur and CB-RS-chlor, Table 1), an <sup>18</sup>O-enriched IAEA-N3 spike was prepared by mixing 1 mL of <sup>18</sup>O-enriched water (<inline-formula><mml:math id="M169" 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 <inline-formula><mml:math id="M171" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M172" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>780 ‰) with 3 mL of natural water (<inline-formula><mml:math id="M173" 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 <inline-formula><mml:math id="M175" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M176" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5 ‰), yielding a solution with <inline-formula><mml:math id="M177" 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 <inline-formula><mml:math id="M179" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M180" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>187.8 ‰.</p>
      <p id="d2e2262">The <inline-formula><mml:math id="M181" 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 isotopic composition of both natural and <sup>18</sup>O-enriched waters was measured using a cavity ring-down spectroscopy (CRDS) analyzer (L2130-i, Picarro Inc., USA). Measurements were calibrated on the VSMOW–SLAP scale using three international reference waters: VSMOW2 (<inline-formula><mml:math id="M183" 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="M184" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.00 <inline-formula><mml:math id="M185" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02 ‰), SLAP2 (<inline-formula><mml:math id="M186" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>55.50 <inline-formula><mml:math id="M187" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02 ‰), and IAEA-607 (+99.02 <inline-formula><mml:math id="M188" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.13 ‰), which were measured together with the samples during each analytical run to establish a three-point isotope calibration.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS5">
  <label>2.1.5</label><title>Endpoint N<sub>2</sub>O isotopic analysis (IRMS)</title>
      <p id="d2e2351">Accumulated N<sub>2</sub>O produced during incubations was analyzed using gas chromatography coupled to isotope ratio mass spectrometry (GC-IRMS; Delta V Plus coupled to a GasBench system for N<sub>2</sub>O purification, Thermo Fisher Scientific, Germany). Isotopic composition was referenced to AIR–N<sub>2</sub> (<inline-formula><mml:math id="M193" 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 VSMOW (<inline-formula><mml:math id="M194" 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) using three laboratory N<sub>2</sub>O reference gases (STD1–STD3; <inline-formula><mml:math id="M196" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 90 ppm N<sub>2</sub>O in N<sub>2</sub>) measured alongside samples. Assigned delta values (in ‰) were: STD1: <inline-formula><mml:math id="M199" 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> <inline-formula><mml:math id="M201" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M202" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.21 <inline-formula><mml:math id="M203" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.39, <inline-formula><mml:math id="M204" 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> <inline-formula><mml:math id="M206" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M207" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49.28 <inline-formula><mml:math id="M208" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.40, SP <inline-formula><mml:math id="M209" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 27.08 <inline-formula><mml:math id="M210" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.56, <inline-formula><mml:math id="M211" 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>bulk</sup> <inline-formula><mml:math id="M213" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M214" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35.74 <inline-formula><mml:math id="M215" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07, <inline-formula><mml:math id="M216" 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="M217" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 26.94 <inline-formula><mml:math id="M218" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.23; STD2: <inline-formula><mml:math id="M219" 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> <inline-formula><mml:math id="M221" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.71 <inline-formula><mml:math id="M222" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.47, <inline-formula><mml:math id="M223" 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> <inline-formula><mml:math id="M225" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 94.44 <inline-formula><mml:math id="M226" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.70, SP <inline-formula><mml:math id="M227" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M228" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>92.73 <inline-formula><mml:math id="M229" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.84, <inline-formula><mml:math id="M230" 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>bulk</sup> <inline-formula><mml:math id="M232" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 48.09 <inline-formula><mml:math id="M233" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.23, <inline-formula><mml:math id="M234" 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="M235" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 36.01 <inline-formula><mml:math id="M236" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.27; STD3: <inline-formula><mml:math id="M237" 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> <inline-formula><mml:math id="M239" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 17.11 <inline-formula><mml:math id="M240" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12, <inline-formula><mml:math id="M241" 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> <inline-formula><mml:math id="M243" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M244" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.43 <inline-formula><mml:math id="M245" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17, SP <inline-formula><mml:math id="M246" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 20.54 <inline-formula><mml:math id="M247" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.21, <inline-formula><mml:math id="M248" 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>bulk</sup> <inline-formula><mml:math id="M250" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.85 <inline-formula><mml:math id="M251" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06, <inline-formula><mml:math id="M252" 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="M253" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 35.39 <inline-formula><mml:math id="M254" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17. Data processing, including scale normalization and correction for ion-source scrambling effects, was performed using the PyIsotopomer package (Kelly et al., 2023).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Gas-flushed (GF) incubations and online isotope monitoring</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Experimental setup for gas-flushed incubations</title>
      <p id="d2e2921">For continuous N<sub>2</sub>O isotope monitoring under cultivation conditions, strains were grown in the active-growth medium described in Sect. 2.1.2 (Fig. 1). Incubations were performed at 30 <inline-formula><mml:math id="M256" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 °C for <italic>P. aureofaciens</italic> and 20 <inline-formula><mml:math id="M257" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 °C for <italic>P. chlororaphis</italic>, reflecting optimal conditions for growth and N<sub>2</sub>O production. Cultures were stirred using a magnetic stirrer to ensure homogeneous mixing, and maintained anaerobic by continuous N<sub>2</sub> flushing (100 mL min<sup>−1</sup>). Dissolved oxygen, pH (Mettler-Toledo, Switzerland), and optical density (OD<sub>550</sub>) were monitored throughout the experiments. Substrate consumption was monitored by daily nitrite measurements. Incubations were typically completed within 5–8 d. Isotopic measurements were stopped when N<sub>2</sub>O concentrations dropped below 50 ppm, whereas concentration measurements by FTIR continued until N<sub>2</sub>O levels dropped below detection limits (0.0075 ppm N<sub>2</sub>O), confirming complete turnover of nitrogen substrates (Fig. 2). Gas exiting the bioreactor was conditioned prior to analysis; carbon dioxide and water vapor were removed using two consecutive washing bottles containing 1 M NaOH, followed by permeation drying (Perma Pure, USA) (Fig. 1). The CO<sub>2</sub>-free, dehumidified sample gas was subsequently filtered through a sintered metal filter (2 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m pore size) and analyzed for trace gas concentrations (N<sub>2</sub>O, NO) using an online FTIR analyzer (CX-4000 or CX-4015, Gasmet Technologies, Finland) (Wunderlin et al., 2012). Three-minute average N<sub>2</sub>O concentration values were used to calculate dilution ratios and regulate the MFC settings to maintain an approximately constant N<sub>2</sub>O concentration (<inline-formula><mml:math id="M270" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 50 ppm) in the diluted sample gas, which minimized concentration effects on isotope ratio measurements by QCLAS (Wunderlin et al., 2013). Choosing 50 ppm as target concentration for N<sub>2</sub>O isotope analysis was a compromise between data coverage and response time of the experimental setup but does not represent a lower threshold of the analytics.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e3084">Schematic of the setup applied for bacterial incubations, continuous gas sampling, and real-time analysis of trace gases and N<sub>2</sub>O isotopologues. N<sub>2</sub> is used to purge reaction products from the liquid phase via the headspace of the incubation vessel toward the analyzers. Trace gas concentrations (N<sub>2</sub>O, NO, residual CO<sub>2</sub> and H<sub>2</sub>O) are determined in the CO<sub>2</sub>-free and dehumidified sample gas by FTIR spectroscopy. The N<sub>2</sub>O concentration is used to set the MFC for N<sub>2</sub> dilution and stabilize the N<sub>2</sub>O concentration for QCLAS analysis to 50 ppm. Downstream of the FTIR, the gas is directed to the QCLAS for isotopic analysis of N<sub>2</sub>O. Calibration of the QCLAS is conducted via automated switching between sample gas and reference standards (valves 1–5). Calibration gas (Cal 1, Cal 2) flows are regulated with mass flow controllers (MFC). During calibration phases, the sample gas is vented to the atmosphere (valve 1); during measurement phases valves 1, 2 and 5 are switched in parallel, directing the sample gas toward the QCLAS. A pressure controller upstream of the QCLAS stabilizes the multipath cell pressure and ensures stable flow conditions.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026-f01.png"/>

          </fig>

      <p id="d2e3184">Automated sample gas dilution and calibration of the QCLAS system were controlled via a LabVIEW interface (National Instruments Corp., USA) connected to mass flow controllers (Vögtlin Instruments Inc., Switzerland) and electromagnetic valves (Series 9, Parker Hannifin, USA).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Online analysis of N<sub>2</sub>O isotopic composition (QCLAS)</title>
      <p id="d2e3205">Temporally-resolved (1 Hz) N<sub>2</sub>O isotopic analysis in the diluted sample gas was performed using a compact quantum cascade laser absorption spectrometer (mini-TILDAS, pathlength 76 m, Aerodyne Research Inc., USA), operated in flow-through mode at a sample pressure of 26.6 hPa (20 Torr) (Ibraim et al., 2018). The instrument simultaneously quantified the concentrations of the four most abundant N<sub>2</sub>O isotopologues in the <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> absorption band (2203 cm<sup>−1</sup>): <sup>14</sup>N<sup>14</sup>N<sup>16</sup>O, <sup>14</sup>N<sup>15</sup>N<sup>16</sup>O (<sup>15</sup>N<sup><italic>α</italic></sup>), <sup>15</sup>N<sup>14</sup>N<sup>16</sup>O (<sup>15</sup>N<sup><italic>β</italic></sup>), and <sup>14</sup>N<sup>14</sup>N<sup>18</sup>O. Raw concentrations were logged in ASCII format. Time series for each isotopologue were averaged to 60 s intervals as the first step in the data-processing workflow, prior to any correction or calibration. Isotopologue ratios (<sup>14</sup>N<sup>15</sup>N<sup>16</sup>O<inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<sup>14</sup>N<sup>16</sup>O, <sup>15</sup>N<sup>14</sup>N<sup>16</sup>O<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<sup>14</sup>N<sup>16</sup>O, and <sup>14</sup>N<sup>14</sup>N<sup>18</sup>O<inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<sup>14</sup>N<sup>16</sup>O) were then calculated from these averaged concentrations using a customized R script. Allan deviations at a 60 s averaging time were used to propagate uncertainties in isotope delta values (see Appendix A).</p>
      <p id="d2e3567">Two N<sub>2</sub>O isotope reference gases diluted in N<sub>2</sub> were used (Mohn et al., 2022); CG1 (RM1A, anchor gas, in ‰): <inline-formula><mml:math id="M323" 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> <inline-formula><mml:math id="M325" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M326" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.22 <inline-formula><mml:math id="M327" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.46, <inline-formula><mml:math id="M328" 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> <inline-formula><mml:math id="M330" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.84 <inline-formula><mml:math id="M331" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.46, <inline-formula><mml:math id="M332" 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="M333" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 39.22 <inline-formula><mml:math id="M334" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15; and CG2 (RM3A, span gas, in ‰): <inline-formula><mml:math id="M335" 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> <inline-formula><mml:math id="M337" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 50.96 <inline-formula><mml:math id="M338" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.47, <inline-formula><mml:math id="M339" 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> <inline-formula><mml:math id="M341" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 53.06 <inline-formula><mml:math id="M342" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.47, <inline-formula><mml:math id="M343" 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="M344" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 103.04 <inline-formula><mml:math id="M345" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.16. CG1 was measured every 40 min for 10 min, to correct for instrumental drift, while the calibration span was determined twice daily analyzing CG1 and CG2. From the measured delta values, the following parameters were calculated: <inline-formula><mml:math id="M346" 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-bulk <inline-formula><mml:math id="M347" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math id="M348" 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> <inline-formula><mml:math id="M350" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M351" 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>)<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and SP <inline-formula><mml:math id="M354" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M355" 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="M356" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="italic">α</mml:mi></mml:msup><mml:mo>-</mml:mo><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>, following the nomenclature of Yoshida and Toyoda (2000). Data processing steps are detailed in Appendix A.</p>
      <p id="d2e3906">For validation an independent N<sub>2</sub>O isotope reference gas (RM3B) with assigned values of <inline-formula><mml:math id="M359" 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-bulk <inline-formula><mml:math id="M360" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 16.08 <inline-formula><mml:math id="M361" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0 5 ‰, <inline-formula><mml:math id="M362" 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="M363" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 55.17 <inline-formula><mml:math id="M364" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15 ‰, and SP <inline-formula><mml:math id="M365" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M366" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.68 <inline-formula><mml:math id="M367" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.91 ‰, was diluted using a two-step diluter (METAS, Switzerland) to a target concentration of 50 ppm N<sub>2</sub>O. Measurements were conducted during a short validation campaign in April–May 2024. RM3B was analyzed within the existing CG1/CG2 calibration framework, and the measured values agreed with assigned values within <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ across all isotope parameters.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Isotopic Fractionation Analysis (Rayleigh Model – QCLAS Time Series)</title>
      <p id="d2e4018">Isotope fractionation during denitrification was assessed using a Rayleigh-type cumulative product model, following the definitions of enrichment factors (<inline-formula><mml:math id="M370" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>) provided by Mariotti et al. (1981) and Sutka et al. (2006), which describe the isotopic discrimination between the substrate and the accumulated product over the course of the reaction.</p>
      <p id="d2e4028">Changes in the isotopic composition of N<sub>2</sub>O were modeled as a function of nitrate reduction using the equation:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M372" display="block"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi>x</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M373" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> is the isotopic composition (<inline-formula><mml:math id="M374" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> value) of the N<sub>2</sub>O product, <inline-formula><mml:math id="M376" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M377" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> are fitted coefficients, and [<inline-formula><mml:math id="M378" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>] represents the reaction progress. The variable [<inline-formula><mml:math id="M379" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>] was calculated using the Rayleigh equation (Sutka et al., 2006):

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M380" display="block"><mml:mrow><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mi>f</mml:mi></mml:mfenced></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            Here, <inline-formula><mml:math id="M381" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> is the fraction of remaining nitrate, calculated as:

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M382" display="block"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>n</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:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M383" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> denotes the molar quantities of accumulated N<sub>2</sub>O and initial NO<inline-formula><mml:math id="M385" 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>, respectively. The slope <inline-formula><mml:math id="M386" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> corresponds to the apparent enrichment factor <inline-formula><mml:math id="M387" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> (in ‰), while the intercept <inline-formula><mml:math id="M388" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> represents the initial isotopic composition of the product pool. This interpretation assumes Rayleigh-type fractionation behavior, i.e. a closed substrate pool with unidirectional consumption and negligible back-reaction. Microbial incubations featuring multistep processes may deviate from these conditions, particularly when O isotope exchange with water or partial recycling of intermediates occurs. Nevertheless, the Rayleigh model provides a useful first-order approximation for comparing fractionation patterns across experiments.</p>
      <p id="d2e4255">More complex Rayleigh formulations have been proposed to explicitly account for intramolecular isotope effects during N<sub>2</sub>O formation, including site-specific treatments of <inline-formula><mml:math id="M390" 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> and <inline-formula><mml:math id="M392" 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> (e.g., Rivett et al., 2025). In the present study, Rayleigh modeling was applied only to <inline-formula><mml:math id="M394" 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-bulk, for which the standard cumulative product formulation is sufficient.</p>
      <p id="d2e4319">Fractionation calculations were performed using a custom R pipeline that included uncertainty propagation for N<sub>2</sub>O gas concentration, sample gas flow, and the initial substrate amount (NO<inline-formula><mml:math id="M396" 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>). Full computational details are provided in the Appendix A.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <label>2.2.4</label><title>Monitoring of nitrate and nitrite during GF incubations and nitrate isotope characterization</title>
      <p id="d2e4351">During gas-flushed incubations, NO<inline-formula><mml:math id="M397" 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> and NO<inline-formula><mml:math id="M398" 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> concentrations were monitored daily to track substrate depletion and the progression of nitrate reduction. Nitrite was measured spectrophotometrically immediately after sampling using the Griess assay (Hansen and Koroleff, 1999). For nitrate concentration analysis, 1 mL samples were collected daily, filtered through 0.22 <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m syringe filters, and stored in Eppendorf tubes at <inline-formula><mml:math id="M400" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18 °C prior to analysis. Nitrate concentrations were determined by quantitative reduction to nitric oxide (NO) using acidic vanadium(III), followed by chemiluminescence detection (Braman and Hendrix, 1989).</p>
      <p id="d2e4393">The isotopic composition of the nitrate substrates used to prepare incubation media was determined prior to the experiments. In addition, selected samples from GF incubations were analyzed to assess changes in the isotopic composition of the residual nitrate pool during denitrification. Nitrate isotope analyses were not performed for closed-batch incubations.</p>
      <p id="d2e4396">For nitrate isotopic analysis, aliquots containing 20 nmol N were converted to N<sub>2</sub>O using the denitrifier method (Sigman et al., 2001; Casciotti et al., 2002). The nitrate stock solution used for all active-growth media had a <inline-formula><mml:math id="M402" 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="M403" 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> <inline-formula><mml:math id="M404" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M405" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>5.7 <inline-formula><mml:math id="M406" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰ and a <inline-formula><mml:math id="M407" 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–NO<inline-formula><mml:math id="M408" 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> <inline-formula><mml:math id="M409" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M410" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>12.4 <inline-formula><mml:math id="M411" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰ (<inline-formula><mml:math id="M412" 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>).</p>
      <p id="d2e4510">Calibration was performed against international nitrate reference materials USGS32 (KNO<sub>3</sub>, <inline-formula><mml:math id="M414" 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="M415" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M416" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>180 ‰, <inline-formula><mml:math id="M417" 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="M418" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M419" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>25.4 <inline-formula><mml:math id="M420" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰), USGS34 (KNO<sub>3</sub>, <inline-formula><mml:math id="M422" 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="M423" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M424" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.8 <inline-formula><mml:math id="M425" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰, <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 <inline-formula><mml:math id="M427" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M428" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27.78 <inline-formula><mml:math id="M429" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37 ‰), and IAEA-N3 (KNO<sub>3</sub>, <inline-formula><mml:math id="M431" 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="M432" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M433" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4.7 <inline-formula><mml:math id="M434" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰, <inline-formula><mml:math id="M435" 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="M436" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M437" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>25.6 <inline-formula><mml:math id="M438" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰). Additional reference materials included UBN-1 (<inline-formula><mml:math id="M439" 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="M440" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M441" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>14.15 ‰, <inline-formula><mml:math id="M442" 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="M443" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M444" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>25.7 ‰), Deep Pacific nitrate (<inline-formula><mml:math id="M445" 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="M446" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M447" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>5.0 ‰, <inline-formula><mml:math id="M448" 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="M449" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M450" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2.0 ‰), and an IAEA-N3-spike standard (IAEA-N3 dissolved in water with <inline-formula><mml:math id="M451" 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 <inline-formula><mml:math id="M453" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M454" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>780 ‰, see Sect. 2.1.4).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Closed batch (CB) incubations</title>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Active-growth incubations (natural-water and enriched-water)</title>
      <p id="d2e4882">Closed-batch incubations were used to generate cumulative N<sub>2</sub>O under controlled growth conditions. All experiments were conducted in 500 mL Wheaton bottles containing 400 mL of active-growth medium (Sect. 2.1.2) and incubated at 23 °C for 7 d. Experiments performed in natural-abundance water (CB_aur_nat, CB_chlor_nat) and <sup>18</sup>O-enriched-water (CB_aur_en, CB_chlor_en) differed only in the isotopic composition of the water used to prepare the medium. The enriched-water incubations produced <inline-formula><mml:math id="M457" 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 endpoint values that were regressed against <inline-formula><mml:math id="M459" 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 to quantify oxygen atom exchange between nitrite and water. After complete nitrate reduction, accumulated N<sub>2</sub>O was analyzed by GC-IRMS (Sect. 2.1.5).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Resuspension incubations in defined nitrate medium (stationary phase)</title>
      <p id="d2e4961">To obtain stationary-phase <inline-formula><mml:math id="M462" 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 endpoint values, actively grown cultures were pelleted and resuspended in the defined nitrate medium described in Sect. 2.1.2. These resuspension assays (CB-R_aur_nat, CB-R_chlor_nat) were performed with stationary-phase cultures resuspended in fresh nitrate medium. The experiments were conducted only in natural-abundance water. After overnight nitrate reduction, the accumulated N<sub>2</sub>O was analyzed by GC-IRMS (Sect. 2.1.5).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Resuspension incubations with nitrate isotope standards (quantification of oxygen isotope exchange)</title>
      <p id="d2e5001">Additional stationary-phase incubations were performed to quantify oxygen-atom exchange between nitrite and water using nitrate standards with contrasting <inline-formula><mml:math id="M465" 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–NO<inline-formula><mml:math id="M466" 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> values (CB-RS_aur, CB-RS_chlor): USGS32, USGS34, IAEA-N3. These were accompanied by an <sup>18</sup>O-enriched IAEA-N3-spike to match the typical approach for quantifying oxygen-atom exchange in the denitrifier method (Sect. 2.1.2). Following quantitative reduction of the added nitrate, <inline-formula><mml:math id="M468" 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 was measured by GC-IRMS (Sect. 2.1.5). The resulting <inline-formula><mml:math id="M470" 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 values were regressed against the known <inline-formula><mml:math id="M472" 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–NO<inline-formula><mml:math id="M473" 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> values of the standards. The <inline-formula><mml:math id="M474" 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 versus <inline-formula><mml:math id="M476" 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–NO<inline-formula><mml:math id="M477" 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> relationship was applied to derive stationary-phase oxygen-exchange fractions.</p>
      <p id="d2e5144">This nitrate-standard approach provides an independent estimate of oxygen exchange complementary to the enriched-water experiments (Sect. 2.3.1). Whereas regressions of <inline-formula><mml:math id="M478" 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 versus <inline-formula><mml:math id="M480" 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 quantify exchange from the sensitivity of N<sub>2</sub>O to water isotopic composition, regressions of <inline-formula><mml:math id="M483" 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 versus <inline-formula><mml:math id="M485" 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–NO<inline-formula><mml:math id="M486" 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> quantify the O-atom exchange from the degree of scale compression relative to nitrate isotope standards. Under conditions of no oxygen exchange, <inline-formula><mml:math id="M487" 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 scales directly with <inline-formula><mml:math id="M489" 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–NO<inline-formula><mml:math id="M490" 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> (slope <inline-formula><mml:math id="M491" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 1), whereas increasing exchange reduces this dependence (slope <inline-formula><mml:math id="M492" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1). The fraction of oxygen atoms in N<sub>2</sub>O derived from water can therefore be estimated from the regression slope (Casciotti et al., 2002; Snider et al., 2009; Lewicka-Szczebak et al., 2016).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and Discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Denitrifying growth and near-quantitative N<sub>2</sub>O production in gas-flushed and closed-batch incubations</title>
      <p id="d2e5335">Both <italic>P. chlororaphis</italic> (NirS-bearing) and <italic>P. aureofaciens</italic> (NirK-bearing) showed consistent denitrifying behavior under anoxic conditions, with N<sub>2</sub>O production closely coupled to nitrate reduction. Biomass accumulation and substrate consumption followed the expected progression of anoxic denitrifying growth, indicating that the incubation conditions supported stable and active metabolism throughout.</p>
      <p id="d2e5353">Biomass increased during the phase of active N<sub>2</sub>O production and stabilized as nitrate became limiting, while NO<inline-formula><mml:math id="M497" 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> concentrations decreased in parallel with N<sub>2</sub>O formation (Fig. 2C, D). This tight coupling indicates efficient conversion of nitrate to N<sub>2</sub>O, with only transient accumulation of nitrite (Fig. 2E). This tight coupling indicates efficient conversion of nitrate to N<sub>2</sub>O with no substantial accumulation of intermediates. Accordingly, cumulative N<sub>2</sub>O yields indicated efficient denitrification (Fig. 2A), although they varied between incubations, indicating that N<sub>2</sub>O was not always the sole nitrogen oxide produced (Appendix B, Fig. B1).</p>
      <p id="d2e5423">Across gas-flushed incubations, N<sub>2</sub>O yields ranged from 60 %–100 % for <italic>P. aureofaciens</italic> (<inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>) and 50 %–100 % for <italic>P. chlororaphis</italic> (<inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). These results demonstrate that both incubation approaches supported efficient denitrification and provided well-constrained systems for isotopic interpretation. Dissolved O<sub>2</sub> concentrations remained below detection (<inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M), and pH varied only slightly (6.5–7.5), confirming stable anoxic conditions throughout the experiments. Nitrite accumulated transiently during active nitrate reduction but did not persist, indicating rapid turnover within the denitrification pathway.</p>
      <p id="d2e5494">While such growth dynamics are well established for denitrifying systems (Zumft, 1997), the present gas-flushed setup enables direct observation of N<sub>2</sub>O production dynamics under continuous stripping, providing a temporally resolved view that is not accessible in conventional closed systems.</p>
      <p id="d2e5506">In closed-batch incubations, near-complete nitrate reduction was similarly observed, as indicated by the absence of residual NO<inline-formula><mml:math id="M510" 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> and NO<inline-formula><mml:math id="M511" 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 the cessation of N<sub>2</sub>O production. These results demonstrate that both incubation approaches achieved near-quantitative conversion of nitrate to N<sub>2</sub>O under the conditions applied, providing well-constrained systems for isotopic interpretation. N<sub>2</sub>O isotopic compositions were determined from endpoint measurements and are discussed in Sect. 3.3 and 3.4.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e5562">Representative temporal dynamics of N<sub>2</sub>O production over days, cumulative N<sub>2</sub>O yield, and culture characteristics during incubation of <italic>P. aureofaciens</italic> (GF_aur). <bold>(A)</bold> Cumulative N<sub>2</sub>O yield (% of initial nitrate converted to N<sub>2</sub>O); <bold>(B)</bold> Instantaneous N<sub>2</sub>O formation, measured in N<sub>2</sub> purge gas; <bold>(C)</bold> Optical density at 550 nm (OD<sub>550</sub>, circles), as a proxy for biomass accumulation; <bold>(D)</bold> Residual nitrate concentration; <bold>(E)</bold> Nitrite concentration over the course of the experiment.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026-f02.png"/>

        </fig>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e5656">Temporal evolution of N<sub>2</sub>O isotopic composition during gas-flushed incubations in natural-abundance water (GF_aur_nat, GF_chlor_nat). Panels show isotopic composition as a function of reaction progress for <italic>P. aureofaciens</italic> (<inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>) (Nirk) and <italic>P. chlororaphis</italic> (<inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) (NirS). Reaction progress (<inline-formula><mml:math id="M525" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>) was calculated from cumulative N<sub>2</sub>O production and rescaled for each incubation such that the first sampled point corresponds to <inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> and the final point to <inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, allowing comparison across experiments with different final yields. Measurements were grouped into equally spaced bins of reaction progress, and isotopic values were averaged within each bin. Points therefore represent bin-averaged values, with vertical error bars indicating within-bin variability and horizontal error bars indicating the spread in reaction progress of contributing measurements. <bold>(A)</bold> <inline-formula><mml:math id="M529" 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–Bulk versus the Rayleigh coordinate <inline-formula><mml:math id="M530" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>⋅</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>, which linearizes Rayleigh-type isotope fractionation during substrate consumption. <bold>(B)</bold> Site preference (SP) versus reaction progress (<inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi></mml:mrow></mml:math></inline-formula>). <bold>(C)</bold> <inline-formula><mml:math id="M532" 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 versus reaction progress (<inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi></mml:mrow></mml:math></inline-formula>). Panels <bold>(B)</bold> and <bold>(C)</bold> use the simpler (<inline-formula><mml:math id="M535" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi></mml:mrow></mml:math></inline-formula>) coordinate to directly visualize temporal trends, whereas panel <bold>(A)</bold> uses the Rayleigh transformation to resolve fractionation behavior. In panel <bold>(C)</bold>, horizontal lines indicate <inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><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:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M537" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>9.5 ‰; solid grey) and <inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">eq</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M539" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>4.5 ‰; dashed grey). The shaded red band (<inline-formula><mml:math id="M540" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>14.5 to <inline-formula><mml:math id="M541" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>19.5 ‰) represents the expected <inline-formula><mml:math id="M542" 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 range under full nitrite–water equilibration with branching fractionation.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Rayleigh-type <sup>15</sup>N enrichment in the N<sub>2</sub>O pool during nitrate reduction</title>
      <p id="d2e5994">The <inline-formula><mml:math id="M546" 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-bulk of accumulated N<sub>2</sub>O increased linearly over the course of nitrate reduction in all incubations when expressed against the reaction coordinate <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>⋅</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> using the Rayleigh equation as presented in Mariotti et al. (1981) and Sutka et al. (2006) (Fig. 3A). The isotopic composition of the accumulated reaction product N<sub>2</sub>O was calculated from the amount and isotopic composition of instantaneously formed and analysed N<sub>2</sub>O.  This pattern is consistent with Rayleigh-type enrichment expected during unidirectional substrate consumption under closed-system conditions. Enrichment factors (<inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N) were estimated for each incubation by linear regression of <inline-formula><mml:math id="M552" 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-bulk against the reaction coordinate using the specific reaction progress of each experiment (individual experiment regressions are shown in Appendix B Fig. B1). The rescaling and binning shown in Fig. 3A serve only to visualize common trajectories across incubations.</p>
      <p id="d2e6099">Enrichment factors (<inline-formula><mml:math id="M553" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N) derived from this linear Rayleigh approximation ranged from <inline-formula><mml:math id="M554" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>16 to <inline-formula><mml:math id="M555" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>55 ‰ (35.5 <inline-formula><mml:math id="M556" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12 ‰) for <italic>P. aureofaciens</italic> (<inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>) and from <inline-formula><mml:math id="M558" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>13 ‰ to <inline-formula><mml:math id="M559" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>45 ‰ (25.4 <inline-formula><mml:math id="M560" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 14 ‰) for <italic>P. chlororaphis</italic> (<inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). Variability across replicate incubations likely reflects differences in nitrate turnover rates and additional biological variability, although no systematic relationship between nitrate reduction rate and <inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N could be resolved with the present dataset.</p>
      <p id="d2e6199">The applicability of the linear Rayleigh model is supported by the consistent increase in <inline-formula><mml:math id="M563" 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-bulk over the reaction coordinate, which reflects the expected kinetic isotope enrichment pattern during progressive substrate consumption (Mariotti et al., 1981). Nevertheless, the linear Rayleigh approximation represents an idealized description when applied to multistep microbial pathways such as denitrification. In such systems, intrinsic isotope effects may be modulated by intermediate pool dynamics, diffusion limitation, or partial reversibility, potentially leading to deviations from a single kinetic fractionation factor. These complexities have been discussed in detail by Haslun et al. (2018) and are not explicitly resolved here. Rather, the Rayleigh analysis is used as a first-order framework  to derive apparent <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values from the cumulative N<sub>2</sub>O product pool, allowing comparison across strains.</p>
      <p id="d2e6234">To place the <inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N estimates obtained in this study in context, we compared them with a compilation of fractionation factors for N<sub>2</sub>O production from a range of denitrifying organisms and environmental systems (Fig. 4). This dataset, largely derived from Denk et al. (2016), includes enrichment factors determined under diverse experimental conditions and using different formulations of the Rayleigh model applied to either the instantaneous or accumulated product, or to the substrate. Nonetheless these enrichment factors provide a context for comparing the magnitude of isotope fractionation observed in the present study. The <inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values obtained here fall within the broader range reported in the literature and align particularly well with previous results for <italic>Pseudomonas</italic> spp. under nitrate-reducing conditions. Additionally, we include instantaneous isotope effects derived from non-linear Rayleigh formulations, reported as <inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values by Haslun et al. (2018). Although expressed using a different notation, these values are conceptually analogous to <inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and allow comparison with the fractionation factors derived here. Taken together, these comparisons show that the magnitude of fractionation observed here falls well within the established range for denitrifying systems, indicating that the gas-flushed setup does not introduce atypical isotope effects.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e6296">Isotopic enrichment factors (<inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N) for N<sub>2</sub>O production across denitrifying microbial communities reported in the literature and observed in this study. Most literature values are compiled from Table S1 of Denk et al. (2016), which integrates enrichment factors derived from different experimental systems and using different mathematical formulations (e.g., soils, aqueous environments, and pure-culture incubations). Instantaneous isotope effects reported as <inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N by Haslun et al. (2018) for <italic>P. aureofaciens</italic>, and <italic>P. chlororaphis</italic>, as well as <inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N for  <italic>P. fluorescens</italic> (Toyoda et al., 2005) are also included for comparison. For clarity and comparability, all values shown here are expressed using a common sign convention, where positive <inline-formula><mml:math id="M575" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N indicates normal isotope effects, i.e., preferential reaction of the light isotope.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Transient elevated SP suggests variable NO reduction pathways</title>
      <p id="d2e6376">SP values measured at the endpoint of closed-batch incubations clustered near 0 ‰ for both <italic>P. aureofaciens</italic> and <italic>P. chlororaphis</italic> (Fig. 5B), within the canonical range reported for bacterial denitrification (<inline-formula><mml:math id="M576" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>8 ‰ to <inline-formula><mml:math id="M577" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>10 ‰; Yu et al., 2020). This outcome is consistent with the common assumption that SP during bacterial denitrification is invariant and reflects NO reduction by the nitric oxide reductase NorB, which yields values near 0 ‰. This interpretation is supported by measurements from intact denitrifying cultures and by direct assays of purified NorB enzyme (Sutka et al., 2006; Yamazaki et al., 2014; Wang et al., 2024; Rivett et al., 2025; Fig. 5A). Because these measurements integrate N<sub>2</sub>O produced over the full course of the reaction, they represent time-averaged isotopic signatures. When assessed using these conventional accumulated-product approaches, N<sub>2</sub>O formation appears broadly consistent with NorB-mediated denitrification, although such temporal integration may obscure short-lived deviations from canonical SP behavior.</p>
      <p id="d2e6418">In contrast to such endpoint observations, our time-resolved dataset shows that elevated SP values (<inline-formula><mml:math id="M580" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>8 ‰ to <inline-formula><mml:math id="M581" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>20 ‰) arise transiently but reproducibly during the early stages of N<sub>2</sub>O formation under gas-flushed conditions (Figs. 3B; 5B). Elevated SP values have occasionally been reported in denitrifying cultures. Toyoda et al. (2005), for example, observed SP values up to <inline-formula><mml:math id="M583" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>22 ‰ in <italic>P. fluorescens</italic>, which they attributed to an abiotic pathway of unknown mechanism. Over the course of nitrate reduction, SP subsequently converged toward <inline-formula><mml:math id="M584" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0 ‰ as the reaction progressed (Fig. 3B). When averaged over the full reaction progress, gas-flushed incubations yielded SP values near 0 ‰, with a slightly elevated median and broader variability compared to closed-batch endpoint values (Fig. 5B), yet still within the canonical range reported for bacterial denitrification. This convergence toward canonical SP values, despite pronounced early-stage elevations (Fig. 3B), indicates that accumulated N<sub>2</sub>O in closed-batch systems integrates over temporally variable production pathways and thereby masks transient deviations in SP. These transient SP elevations are most clearly expressed in <italic>P. aureofaciens</italic> (<inline-formula><mml:math id="M586" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>). In <italic>P. chlororaphis</italic> (<inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) they are less apparent in the binned averages due to limited replication and experiment-to-experiment variability, but they are evident in individual incubation trajectories (Appendix B Fig. B1).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e6503">Site preference (SP) of N<sub>2</sub>O produced by three classes of N<sub>2</sub>O-forming systems. <bold>(A)</bold> Literature-derived SP values grouped by system type: left, intact denitrifiers with genetically verified N<sub>2</sub>O-forming enzymes, where both strain identity and the active enzyme system (NorB, Hcp–Hcr, or Fhp) were confirmed (Xu et al., 2024; Wang et al., 2024); center, intact denitrifiers, strains are known but additional N<sub>2</sub>O-forming pathways cannot be excluded (Toyoda et al., 2005; Yu et al., 2020); and right, isolated enzyme assays, in which purified NorB was studied directly, yielding enzyme-specific SP values (Yamazaki et al., 2014; Rivett et al., 2025). <bold>(B)</bold> SP values obtained in this study for intact denitrifiers with known strain background, shown separately for closed-batch and gas-flushed incubation modes. Boxplots show the distribution of SP values within each category; horizontal bars indicate mean <inline-formula><mml:math id="M592" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation. Gas-flushed incubations represent time-resolved SP measurements, whereas closed-batch incubations reflect SP integrated over the accumulated N<sub>2</sub>O pool.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026-f05.png"/>

        </fig>

      <p id="d2e6572">Although still within the broader isotopic space reported for bacterial denitrification and related enzyme systems (Fig. 5; Toyoda et al., 2005; Yamazaki et al., 2014; Haslun et al., 2018; Wang et al., 2024; Xu et al., 2024), the consistent early-stage SP elevations suggest that NorB may not be the sole contributor to N<sub>2</sub>O formation during the onset of denitrification. One plausible explanation is that rapid NO accumulation during early Nar/Nir activity initially exceeds the capacity of NorB, such that NO is partially reduced by alternative enzymes until NorB becomes transcriptionally or functionally dominant. Recent work by Wang et al. (2024) directly demonstrated that SP depends on NO reductase identity: NorB activity produced SP values near 0 ‰, whereas flavohemoglobin (Fhp) activity under high-NO conditions yielded elevated SP values of approximately <inline-formula><mml:math id="M595" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>10 ‰ (Fig. 5A). Using <inline-formula><mml:math id="M596" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><italic>fhp</italic> mutants and inducible <italic>norB</italic> expression systems, the authors further showed that the balance between these enzymes shifts with growth phase and NO availability. Although the experimental conditions in that study differ from ours, it is plausible that early nitrate respiration in actively growing cultures similarly produces transient NO accumulation combined with low NorB expression, allowing temporary Fhp activity to elevate SP at the onset of denitrification. Future transcriptomic or proteomic analyses would help confirm which NO reductases are expressed during this early phase.</p>
      <p id="d2e6603">Importantly, several of the transient SP values observed here (Fig. 5B) exceed not only the typical NorB range but also the Fhp-associated values reported by Wang et al. (2024), motivating consideration of additional NO-reducing pathways. Beyond Fhp, other NO detoxification systems may contribute to transient SP variability. Xu et al. (2024) reported N<sub>2</sub>O production during dissimilatory nitrate reduction to ammonium (DNRA) and attributed it to the hybrid cluster protein–hybrid cluster reductase (Hcp–Hcr) system based on genomic and transcriptomic evidence (Fig. 5A). While this attribution remains less firmly established than for NorB or Fhp, it defines a distinct high-SP isotopic signature that broadens the reference space for interpreting transient SP behavior. Flavodiiron proteins, which reduce NO to N<sub>2</sub>O via asymmetric diiron intermediates (Caranto et al., 2014a, b), are also encoded in many <italic>Pseudomonas</italic> genomes, although their SP signatures remain uncharacterized.</p>
      <p id="d2e6627">Future work integrating SP-resolved N<sub>2</sub>O measurements with transcriptomics, proteomics, or targeted inhibitor assays will be essential to determine which NO reductases are active, when they operate, and how their expression depends on metabolic state and environmental conditions. Taken together, these observations indicate that SP expression during denitrification can be more dynamic than implied by static reference ranges derived from endpoint measurements.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title><inline-formula><mml:math id="M600" 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 systematics during denitrification across strains and incubation conditions</title>
      <p id="d2e6658">While site preference primarily reflects the identity of NO reductases operating during N<sub>2</sub>O formation, the oxygen isotopic composition of N<sub>2</sub>O integrates upstream processes, particularly the extent of oxygen atom exchange between nitrite and water prior to NO reduction. Because nitrite is the immediate precursor to NO, its isotopic composition reflects both oxygen inherited from nitrate reduction and any subsequent equilibration with ambient water. As a result, <inline-formula><mml:math id="M603" 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 does not represent a fixed enzymatic property, but rather a composite signal that depends on the relative contributions of nitrate-derived oxygen, nitrite–water exchange, and branching isotope effects. Consequently, its interpretation as a tracer of nitrite reductase identity requires that these processes remain constant – an assumption that has not been tested. Accordingly, <inline-formula><mml:math id="M605" 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 patterns are interpreted relative to reference scenarios spanning nitrate-dominated signatures, full nitrite–water equilibration, and intermediate exchange. In the following sections, we examine how <inline-formula><mml:math id="M607" 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 varies across strains and incubation conditions as an observational framework, before explicitly quantifying oxygen exchange in Sect. 3.4.2.</p>
<sec id="Ch1.S3.SS4.SSS1">
  <label>3.4.1</label><title>Strain-dependent <inline-formula><mml:math id="M609" 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 patterns during active growth</title>
      <p id="d2e6768">A wide range of <inline-formula><mml:math id="M611" 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 endpoint values was observed in natural-abundance water incubations under the two active-growth modes (gas-flushed and closed-batch), as summarized in Fig. 6A. In closed-batch incubations, <italic>P. aureofaciens</italic> produced relatively low <inline-formula><mml:math id="M613" 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 values (<inline-formula><mml:math id="M615" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 9 ‰), whereas <italic>P. chlororaphis</italic> yielded substantially higher values (<inline-formula><mml:math id="M616" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 47 ‰). Under gas-flushed conditions, <inline-formula><mml:math id="M617" 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 endpoint values shifted in a strain-specific manner: values for <italic>P. aureofaciens</italic> increased to an intermediate range (26 ‰–42 ‰), while <italic>P. chlororaphis</italic> produced consistently elevated values (57 ‰–67 ‰). These contrasts indicate a strong incubation-mode sensitivity in <italic>P. aureofaciens</italic>, whereas <italic>P. chlororaphis</italic> maintained consistently elevated <inline-formula><mml:math id="M619" 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 values with a less pronounced response to incubation configuration. Time-resolved <inline-formula><mml:math id="M621" 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 trajectories during gas-flushed incubations further highlights this strain-dependent behavior (Fig. 3C). In <italic>P. aureofaciens</italic>, <inline-formula><mml:math id="M623" 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 starts at high values (<inline-formula><mml:math id="M625" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 50 ‰–60 ‰) early in nitrate reduction and declines progressively toward <inline-formula><mml:math id="M626" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 ‰ as the reaction proceeds. In contrast, <italic>P. chlororaphis</italic> maintains elevated <inline-formula><mml:math id="M627" 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 values throughout the reaction, varying within a narrow band around 60 ‰. Thus, under identical conditions, <italic>P. aureofaciens</italic> shows strong variability in <inline-formula><mml:math id="M629" 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, whereas <italic>P. chlororaphis</italic> maintains consistently high values with comparatively little temporal change.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e6996"><inline-formula><mml:math id="M631" 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 signatures for <italic>Pseudomonas aureofaciens</italic> (NirK) and <italic>P. chlororaphis</italic> (NirS) incubations in natural-abundance water. <bold>(A)</bold> Active-growth incubations. Closed-batch experiments show <inline-formula><mml:math id="M633" 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 of the accumulated N<sub>2</sub>O pool (<inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> per strain; mean <inline-formula><mml:math id="M637" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD). Gas-flushed experiments show final <inline-formula><mml:math id="M638" 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 values from time-resolved incubations (<italic>P. aureofaciens</italic>, <inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>; <italic>P. chlororaphis</italic>, <inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2; mean <inline-formula><mml:math id="M642" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD). <bold>(B)</bold> Resuspension closed-batch incubations following transfer of actively grown cells into fresh nitrate medium (<inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> per strain; mean <inline-formula><mml:math id="M644" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD). Gas-flushed experiments show the final (endpoint) <inline-formula><mml:math id="M645" 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 values from the time-resolved incubations (P. aureofaciens, <inline-formula><mml:math id="M647" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>; P. chlororaphis, <inline-formula><mml:math id="M648" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>; mean <inline-formula><mml:math id="M649" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD), whereas closed-batch experiments show the <inline-formula><mml:math id="M650" 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 of the accumulated N<sub>2</sub>O pool. Horizontal reference lines in both panels indicate <inline-formula><mml:math id="M653" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><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:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M654" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>9.5 ‰; solid grey) and <inline-formula><mml:math id="M655" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">eq</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M656" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>4.5 ‰; dashed grey). The shaded red band (<inline-formula><mml:math id="M657" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>14.5 ‰ to <inline-formula><mml:math id="M658" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>19.5 ‰) represents the expected <inline-formula><mml:math id="M659" 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 range assuming complete oxygen atom equilibration between nitrite and water and a branching isotope effect of approximately 10–15 ‰ (Casciotti et al., 2002; 2007).</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026-f06.png"/>

          </fig>

      <p id="d2e7339">To interpret the observed variability in <inline-formula><mml:math id="M661" 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, three reference scenarios can be defined. Following the framework of Casciotti et al. (2002, 2007), nitrate reduction to nitrite is associated with an oxygen isotope fractionation of approximately 25 ‰–30 ‰, while NO<inline-formula><mml:math id="M663" 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 is associated with a branching isotope effect of approximately 10 ‰–15 ‰. In the absence of oxygen atom exchange between nitrite and water, <inline-formula><mml:math id="M665" 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 is therefore expected to be approximately 50 ‰, reflecting the nitrate-source signature (<inline-formula><mml:math id="M667" 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–NO<inline-formula><mml:math id="M668" 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> <inline-formula><mml:math id="M669" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M670" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>12.4 <inline-formula><mml:math id="M671" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰) shifted by the combined isotope effects described above. If nitrite fully equilibrates with water prior to reduction, its isotopic composition approaches <inline-formula><mml:math id="M672" 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–NO<inline-formula><mml:math id="M673" 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>eq = <inline-formula><mml:math id="M674" 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 + <inline-formula><mml:math id="M676" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>eq (here <inline-formula><mml:math id="M677" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4.5 ‰), resulting in <inline-formula><mml:math id="M678" 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 values of <inline-formula><mml:math id="M680" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>14.5 ‰ to <inline-formula><mml:math id="M681" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>19.5 ‰ after addition of the branching isotope effect (Casciotti et al., 2002; 2007). The <inline-formula><mml:math id="M682" 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 of water itself (<inline-formula><mml:math id="M683" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>9.5 ‰) represents a conceptual lower limit approached only by direct incorporation of O atoms from water with no kinetic isotope effects or equilibrium exchange. Because oxygen exchange requires sufficient residence time of nitrite, the transient NO<inline-formula><mml:math id="M684" 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> accumulation observed during active growth (Fig. 2E) provides a mechanistic basis for such exchange.</p>
      <p id="d2e7577">Against this framework, the two strains exhibit contrasting behavior. <italic>P. aureofaciens</italic>, in closed-batch incubations, yields <inline-formula><mml:math id="M685" 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 values below the full exchange plus branching range, indicating extensive oxygen exchange, while gas-flushed conditions produce intermediate values (26 ‰–42 ‰), consistent with reduced but still substantial exchange. In contrast, <italic>P. chlororaphis</italic> yields consistently high <inline-formula><mml:math id="M687" 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 values under both incubation modes (<inline-formula><mml:math id="M689" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">47</mml:mn></mml:mrow></mml:math></inline-formula> ‰–67 ‰), clustering near the nitrate-dominated regime and indicating limited equilibration with water.</p>
      <p id="d2e7637">These patterns are consistent with previous observations under comparable active-growth conditions (Rohe et al., 2017; Haslun et al., 2018), but here can be interpreted explicitly in terms of oxygen exchange dynamics. Taken together, these results show that <inline-formula><mml:math id="M690" 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 reflects the combined influence of nitrate-derived oxygen, oxygen-atom exchange with water, and branching fractionation, which vary with strain and incubation mode. To quantify these contributions, we derived oxygen exchange rates using <sup>18</sup>O-enriched water experiments (Sect. 3.4.2).</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <label>3.4.2</label><title>Quantifying oxygen exchange with water during active growth</title>
      <p id="d2e7677">To quantify oxygen exchange between nitrite and water during active growth under gas-flushed conditions, <italic>P. aureofaciens</italic> (NirK) was incubated in <sup>18</sup>O-enriched water (GF_aur_en; Table 1). <inline-formula><mml:math id="M694" 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 values began near <inline-formula><mml:math id="M696" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40 ‰, well below the <inline-formula><mml:math id="M697" 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 of the enriched water (<inline-formula><mml:math id="M698" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>68 ‰; Fig. 7). As nitrate reduction progressed, <inline-formula><mml:math id="M699" 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 increased steadily, crossed the <inline-formula><mml:math id="M701" 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 level, and approached 80 ‰ toward the end of the incubation. Throughout the experiment, <inline-formula><mml:math id="M703" 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 remained below values, anticipated for <inline-formula><mml:math id="M705" 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-NO<inline-formula><mml:math id="M706" 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> under the nitrite–water equilibrium (<inline-formula><mml:math id="M707" 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-NO<sub>2</sub>eq <inline-formula><mml:math id="M709" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M710" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>82 ‰) and well below the expected range for <inline-formula><mml:math id="M711" 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 derived from fully equilibrated nitrite water combined with branching fractionation (<inline-formula><mml:math id="M713" 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-NO<inline-formula><mml:math id="M714" 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>eq <inline-formula><mml:math id="M715" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M716" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">B</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M717" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M718" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>91 ‰ to <inline-formula><mml:math id="M719" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>97 ‰; Fig. 7).</p>
      <p id="d2e7942">This trajectory – beginning below <inline-formula><mml:math id="M720" 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, rising above it, and stabilizing below <inline-formula><mml:math id="M722" 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-NO<sub>2</sub>eq – indicates that the N<sub>2</sub>O product contains a mixture of nitrate-derived and water-exchanged O atoms, with incomplete approach to full nitrite–water equilibration. The initial <inline-formula><mml:math id="M725" 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 values reflect expression of the branching isotope effect under minimal water exchange, whereas the later <sup>18</sup>O enrichment reflects the combined influence of branching fractionation and increasing nitrite–water exchange. This behavior is consistent with the elevated <inline-formula><mml:math id="M728" 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 endpoints observed for gas-flushed incubations in natural-abundance water (Figs. 3C; 6A).</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e8046"><inline-formula><mml:math id="M730" 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 time series as a function of reaction progress (<inline-formula><mml:math id="M732" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi></mml:mrow></mml:math></inline-formula>) for incubation of <italic>P. aureofaciens</italic> (NirK) in <sup>18</sup>O-enriched water. Horizontal reference lines indicate <inline-formula><mml:math id="M734" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><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:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M735" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>68 ‰; solid grey) and <inline-formula><mml:math id="M736" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">eq</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M737" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>82 ‰; dashed grey). The shaded red band (<inline-formula><mml:math id="M738" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>92 ‰ to <inline-formula><mml:math id="M739" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>97 ‰) represents the expected <inline-formula><mml:math id="M740" 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 range under full nitrite–water equilibration with branching fractionation. These references provide a framework to distinguish nitrate-derived oxygen, oxygen-atom exchange between nitrite–water, and branching-related <sup>18</sup>O enrichment.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026-f07.png"/>

          </fig>

      <p id="d2e8206">To quantify these processes, <inline-formula><mml:math id="M743" 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 values from natural-water and <sup>18</sup>O-enriched incubations were combined in <inline-formula><mml:math id="M746" 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 vs. <inline-formula><mml:math id="M748" 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 regressions (Fig. 8), following the framework of Casciotti et al. (2002). In this approach, the regression slope represents the fraction of oxygen atoms in N<sub>2</sub>O derived from water during nitrite reduction, whereas the y-intercept at <inline-formula><mml:math id="M751" 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 <inline-formula><mml:math id="M753" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 ‰ isolates the component of the N<sub>2</sub>O oxygen isotope signature independent of water isotopic composition. Under conditions of complete nitrite–water equilibration prior to reduction, the intercept approximates the sum of the nitrite–water equilibrium isotope effect and the branching isotope effect (i.e., <inline-formula><mml:math id="M755" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M756" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M757" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>eq <inline-formula><mml:math id="M758" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M759" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B; Casciotti et al., 2002, 2007). Deviations from this expectation indicate incomplete equilibration and/or retention of nitrate-derived oxygen in the N<sub>2</sub>O product.</p>
      <p id="d2e8378">Closed-batch incubations with <italic>P. chlororaphis</italic> (NirS) exhibited a slope of 0.67 <inline-formula><mml:math id="M761" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05, consistent with partial water exchange (Fig. 8). Its intercept (53.7 <inline-formula><mml:math id="M762" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.1 ‰) is strongly elevated relative to <inline-formula><mml:math id="M763" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>eq <inline-formula><mml:math id="M764" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M765" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B (<inline-formula><mml:math id="M766" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>24 ‰ to <inline-formula><mml:math id="M767" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>30 ‰), reflecting combined contributions from nitrate-derived oxygen, incomplete exchange, and branching effects.</p>

      <fig id="F8"><label>Figure 8</label><caption><p id="d2e8444"><inline-formula><mml:math id="M768" 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 as a function of <inline-formula><mml:math id="M770" 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 for both endpoint (closed batch) and gas-flushed incubations of <italic>P. aureofaciens</italic> (NirK) and <italic>P. chlororaphis </italic>(NirS). The regression slope from incubations in natural-abundance (<inline-formula><mml:math id="M772" 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 <inline-formula><mml:math id="M774" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> –9.5 ‰) and <sup>18</sup>O-enriched water (<inline-formula><mml:math id="M776" 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 <inline-formula><mml:math id="M778" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M779" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>68.3 ‰ or <inline-formula><mml:math id="M780" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>73.5 ‰) reflects the extent of oxygen-atom exchange between nitrite and water during stepwise N<sub>2</sub>O formation. The intercept represents the <inline-formula><mml:math id="M782" 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 value expected for incubation in water with <inline-formula><mml:math id="M784" 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 <inline-formula><mml:math id="M786" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 ‰, and thus reflects the combined effects of the nitrite–water equilibrium isotope effect and the branching isotope effect for the reaction of NO<inline-formula><mml:math id="M787" 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="M788" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> N<sub>2</sub>O, plus any contribution from nitrate-derived oxygen that is not removed by nitite-water exchange. The slope for <italic>P. aureofaciens</italic> in gas-flushed incubation (0.38) indicates partial exchange (38 %), whereas endpoint incubations for <italic>P. aureofaciens</italic> and <italic>P. chlororaphis</italic> suggest near-complete (<inline-formula><mml:math id="M790" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 100 %) and partial exchange (<inline-formula><mml:math id="M791" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 66 %), respectively.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026-f08.png"/>

          </fig>

      <p id="d2e8686">For <italic>P. aureofaciens</italic>, closed-batch incubations yielded a slope of 1.03 <inline-formula><mml:math id="M792" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06, indicating complete oxygen-atom exchange of nitrite with water during active growth. The corresponding intercept (18.7 <inline-formula><mml:math id="M793" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.5 ‰) is at the lower end of values expected for <inline-formula><mml:math id="M794" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>eq <inline-formula><mml:math id="M795" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M796" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B.  In contrast, gas-flushed incubation of <italic>P. aureofaciens</italic> yielded a slope of 0.38 <inline-formula><mml:math id="M797" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01, indicating only partial oxygen-atom exchange. The intercept (42.6 <inline-formula><mml:math id="M798" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4 ‰) is substantially higher than both the <inline-formula><mml:math id="M799" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>eq <inline-formula><mml:math id="M800" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M801" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B expectation and the fully exchanged closed-batch intercept, indicating strong retention of nitrate-derived oxygen and enhanced expression of branching fractionation under gas-flushed conditions.</p>
      <p id="d2e8783">These results demonstrate that oxygen isotope exchange in <italic>P. aureofaciens</italic> during active growth is highly sensitive to incubation conditions, spanning from complete to strongly limited exchange. In contrast, <italic>P. chlororaphis</italic> maintained consistently high oxygen-atom exchange across the experimental conditions investigated. These contrasts suggest that the canonical low-exchange behavior attributed to NirK is not an intrinsic property of the enzyme, but instead a condition-specific outcome of the denitrifier method.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS3">
  <label>3.4.3</label><title>Stationary-phase resuspension incubations recover canonical Nir-dependent oxygen exchange</title>
      <p id="d2e8801">To assess whether exchange patterns observed during active growth reflect intrinsic enzyme behavior or experimental conditions, we performed resuspension experiments in which actively grown cultures were pelleted and transferred into a defined nitrate medium. This setup places both strains into a stationary-phase reduction regime closely resembling the denitrifier method (Casciotti et al., 2002; Weigand et al., 2016).</p>
      <p id="d2e8804">Resuspension in natural-abundance water produced high and strain-specific <inline-formula><mml:math id="M802" 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 endpoints (Fig. 6B): 59.6 <inline-formula><mml:math id="M804" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.5 ‰ for <italic>P. aureofaciens</italic> and 50.3 <inline-formula><mml:math id="M805" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04 ‰ for <italic>P. chlororaphis</italic>. These values lie well above the range expected under full nitrite–water equilibration (<inline-formula><mml:math id="M806" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 14.5 ‰–19.5 ‰), indicating limited oxygen exchange and strong retention of nitrate-derived oxygen, consistent with denitrifier-method observations.</p>
      <p id="d2e8855">Because endpoint values do not directly constrain exchange, nitrate standards spanning a range of <inline-formula><mml:math id="M807" 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–NO<inline-formula><mml:math id="M808" 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> values can be applied to quantify exchange from <inline-formula><mml:math id="M809" 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 vs. <inline-formula><mml:math id="M811" 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–NO<inline-formula><mml:math id="M812" 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> regressions. Across both nitrate-standard pairs (USGS32–USGS34 and IAEA-N3–<sup>18</sup>O-enriched IAEA-N3), the two strains reproduced the canonical low- versus high-exchange behavior reported previously (Casciotti et al., 2002; Appendix B Fig. B2). <italic>P. aureofaciens</italic> exhibited low oxygen exchange (1.5 %–4.3 %), whereas <italic>P. chlororaphis</italic> showed substantially higher exchange (64.7 %–76.6 %), in close agreement with published ranges. These results confirm that resuspension experiments recover the expected strain-specific exchange behavior under denitrifier-method conditions.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Physiological controls on N<sub>2</sub>O isotopic signatures: implications for the denitrifier method and interpretation of N<sub>2</sub>O isotopocules</title>
      <p id="d2e8969">The combined isotopic evidence presented here demonstrates that <inline-formula><mml:math id="M816" 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 is strongly controlled by physiological state and experimental conditions, rather than reflecting fixed enzyme-specific properties. Oxygen isotope signatures are modulated by the balance between nitrate-derived oxygen, nitrite–water equilibration, and branching processes, all of which vary with metabolic activity and reaction environment.</p>
      <p id="d2e8992">A direct comparison across incubation regimes (Fig. 9) reveals a clear contrast. During active growth, oxygen exchange is highly variable: <italic>P. aureofaciens</italic> spans from partial to near-complete exchange (<inline-formula><mml:math id="M818" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 38 % under gas-flushed conditions to <inline-formula><mml:math id="M819" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 % in closed-batch incubations), whereas <italic>P. chlororaphis</italic> exhibits consistently higher but more stable exchange (<inline-formula><mml:math id="M820" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 66 %). In contrast, under stationary-phase resuspension conditions, both strains reproduce the characteristically low- versus high-exchange behavior reported for the denitrifier method, with <italic>P. aureofaciens</italic> showing low exchange (<inline-formula><mml:math id="M821" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 2 %–4 %) and <italic>P. chlororaphis</italic> high exchange (<inline-formula><mml:math id="M822" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 65 %–75 %).</p>
      <p id="d2e9043">This contrast demonstrates that the widely used <inline-formula><mml:math id="M823" 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 signatures commonly associated with NirK and NirS are not intrinsic enzyme properties, but arise under the constrained conditions of the denitrifier method. Outside this experimental framework, oxygen-atom exchange is dynamic and reflects physiological state rather than nitrite reductase identity alone.</p>

      <fig id="F9"><label>Figure 9</label><caption><p id="d2e9069">Compilation of water exchange (%) for <italic>P. aureofaciens</italic> (NirK) and <italic>P. chlororaphis</italic> (NirS) under active growth and resuspension conditions. Exchange during active growth was derived from <inline-formula><mml:math id="M825" 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 versus <inline-formula><mml:math id="M827" 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 relationships using <sup>18</sup>O-enriched water (Fig. 8). Under resuspension conditions, exchange was quantified from <inline-formula><mml:math id="M830" 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 versus <inline-formula><mml:math id="M832" 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–NO<inline-formula><mml:math id="M833" 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> regressions using nitrate standards spanning a range of <inline-formula><mml:math id="M834" 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 (USGS32/34, IAEA-N3 <inline-formula><mml:math id="M835" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> spike), based on the degree of scale compression. These two independent approaches provide consistent constraints on oxygen exchange. For active growth, <italic>P. aureofaciens</italic> showed 38.3 <inline-formula><mml:math id="M836" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4 % (gas-flushed) and 102.9 <inline-formula><mml:math id="M837" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.9 % (end-point batch) exchange, whereas <italic>P. chlororaphis</italic> showed 66.6 <inline-formula><mml:math id="M838" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.2 % (end-point batch). Closed triangles indicate reference values from Casciotti et al. (2002), plotted at the midpoint of reported ranges (2 %–9 % for <italic>P. aureofaciens</italic>, 61 %–78 % for <italic>P. chlororaphis</italic>).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6705/2026/bg-23-6705-2026-f09.png"/>

        </fig>

      <p id="d2e9230">A mechanistic explanation for this variability likely lies in the dynamics of the nitrite intermediate pool (Casciotti et al., 2007). Oxygen exchange between nitrite and water requires sufficient residence time of NO<inline-formula><mml:math id="M839" 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 approach isotopic equilibration. During active growth, differences in nitrate reduction rates, nitrite accumulation, and consumption can alter both the size and lifetime of this intermediate pool, thereby modulating the extent of exchange. In addition, because actively growing cultures simultaneously undergo biomass synthesis and enzyme expression, nitrate reduction and downstream nitrite reduction may be less tightly coupled than in resuspension assays, allowing nitrite to persist longer before reduction. In contrast, under resuspension conditions, fully induced cells rapidly reduce the supplied nitrate, and tighter coupling between nitrate and nitrite reduction likely limits nitrite accumulation and, consequently, oxygen isotope exchange. Additional physiological factors, such as pH-dependent exchange kinetics (Buchwald and Casciotti, 2013) or changes in the cellular microenvironment, might also contribute but could not be resolved in the present study and therefore warrant future investigation. These observations indicate that oxygen exchange reflects system-level metabolic dynamics rather than fixed enzymatic behavior.</p>
      <p id="d2e9245">Consistent strain-specific differences in <inline-formula><mml:math id="M840" 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 under active-growth conditions have been reported previously (Rohe et al., 2017; Haslun et al., 2018; Sect. 3.4.1). Their agreement with the patterns observed here suggests that such behavior may be more general but has not been systematically evaluated within a process-based framework.</p>
      <p id="d2e9268">These findings have important implications for the interpretation of N<sub>2</sub>O isotopocules. Application of fixed <inline-formula><mml:math id="M843" 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 endmember ranges assumes that oxygen exchange is stable and pathway-specific. The results presented here demonstrate instead that <inline-formula><mml:math id="M845" 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 is condition-dependent, and that variability in oxygen isotope signatures reflects changes in exchange dynamics rather than differences in nitrite reductase type. As a result, <inline-formula><mml:math id="M847" 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 does not provide a reliable tracer of nitrite reductase identity (NirK vs. NirS) outside the constrained conditions of the denitrifier method. Consequently, exchange characteristics derived from denitrifier-method experiments should not be extrapolated to microbial systems without accounting for physiological context. These findings do not imply that isotopic signatures currently used to identify N<sub>2</sub>O produced by denitrification should be replaced by a single, much broader range of delta values. Rather, they demonstrate that physiological state of the microbial community should be considered explicitly when defining and applying isotopic signatures for environmental interpretation. . More generally, accurate interpretation of <inline-formula><mml:math id="M850" 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 requires frameworks that explicitly incorporate metabolic state, intermediate dynamics, and environmental conditions, rather than relying on static enzyme-based classifications.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusion</title>
      <p id="d2e9380">The results presented here demonstrate that N<sub>2</sub>O isotopic signatures are strongly controlled by physiological state and experimental conditions, rather than reflecting fixed enzyme-specific properties. In particular, <inline-formula><mml:math id="M853" 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 varies extensively with oxygen atom exchange between nitrite and water, which depends on metabolic activity and reaction context. Only under stationary-phase resuspension conditions do enriched-water and nitrate-standard approaches reproduce the characteristic exchange behavior reported in classical denitrifier-method studies. This shows that the widely used <inline-formula><mml:math id="M855" 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 exchange rates are specific to the denitrifier method and do not represent general physiological behavior, but instead reflect the constrained conditions under which the method operates. As a result, <inline-formula><mml:math id="M857" 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 cannot be interpreted as a reliable tracer of nitrite reductase identity outside these conditions.</p>
      <p id="d2e9453">Site preference (SP) measurements provide complementary, time-resolved insight into N<sub>2</sub>O formation pathways during active growth. SP trajectories exhibit a reproducible pattern, with early high values (<inline-formula><mml:math id="M860" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>10 ‰ to <inline-formula><mml:math id="M861" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>20 ‰) followed by a transition toward values near 0 ‰. These dynamics suggest transient activity of alternative NO reductases, such as flavohemoglobins, during the onset of denitrification, before canonical NorB-mediated NO reduction dominates. Importantly, these shifts occur within the same denitrifying microorganisms and suggest that temporary engagement of NO detoxification pathways may contribute to N<sub>2</sub>O formation during phases of elevated NO stress.</p>
      <p id="d2e9488">These findings have important implications for environmental interpretation of N<sub>2</sub>O isotopocules. The application of fixed <inline-formula><mml:math id="M864" 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 or SP endmember ranges assumes that isotopic signatures are stable and pathway-specific constants. Our results demonstrate instead that isotopic expression is conditional. For example, SP values in the range of <inline-formula><mml:math id="M866" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 ‰–15 ‰, are often interpreted as an evidence for mixed or non-denitrification sources when using fixed endmember frameworks (e.g., Opdyke et al., 2008). However, they could arise entirely from denitrification through shifts in NO reduction pathways. Similarly, variability in <inline-formula><mml:math id="M867" 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 may reflect changes in oxygen exchange dynamics rather than differences in nitrite reductase type, and denitrification may give rise to N<sub>2</sub>O with a broader range in <inline-formula><mml:math id="M870" 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 than is typically assumed. Moreover, abiotic nitrite reactions, including chemodenitrification and reactions between nitrite and organic matter, have also been shown to produce a broad range of SP values overlapping those of biological pathways (Jones et al., 2015; Visser et al., 2020; Wei et al., 2019). Together, these findings further emphasize that N<sub>2</sub>O isotopocules should be interpreted within their physiological and environmental context rather than as unique process-specific fingerprints.</p>
      <p id="d2e9586">Accurate interpretation of N<sub>2</sub>O isotopocules therefore requires frameworks that explicitly account for physiological state, intermediate dynamics, and environmental context, rather than relying on static metabolism or enzyme-based classifications. Instead of defining and interpreting isotopic signatures as fixed constants, our results demonstrate  that they should be interpreted in the context of the physiological and environmental conditions under which they were established. Constraining process signatures under more realistic environmental conditions (Strubbe et al., 2026) will be essential for improving the interpretation of N<sub>2</sub>O isotopic signatures in natural systems. Integrating isotopocule measurements with approaches that resolve metabolic activity and enzyme expression may further help link isotopic signatures to specific microbial processes.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title/>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>Calibration of isotopic data provided by Quantum Cascade Laser Absorption Spectroscopy (QCLAS)</title>
      <p id="d2e9624">Isotopic composition (<inline-formula><mml:math id="M875" 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>, <inline-formula><mml:math id="M877" 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>, <inline-formula><mml:math id="M879" 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) of N<sub>2</sub>O was derived from uncorrected QCLAS output values (TDL Wintel, Aerodyne Research, USA) using a dedicated R script (IsotopeRead 2.0, N. Chénier, Empa). The processing pipeline includes (i) temporal averaging, (ii) extraction of sample and calibration-gas intervals via external command language (ECL) indices, (iii) drift correction to reference gas CG1, (iv) calibration-factor determination from CG1–CG2 differences, and (v) uncertainty propagation based on Allan deviation and signal intensity.</p>
<sec id="App1.Ch1.S1.SS1.SSS1">
  <label>A1.1</label><title>Data averaging and ratio calculation</title>
      <p id="d2e9695">QCLAS output data are reported using HITRAN-style shorthand (e.g., 446 equivalent to <sup>14</sup>N<sup>14</sup>N<sup>16</sup>O) and averaged over 1 min time intervals. Isotopologue ratios (e.g. R448) are computed from the concentration of the minor isotopologue (e.g. i448) to the 446 isotopologue:</p>
      <p id="d2e9725"><list list-type="bullet">
              <list-item>

      <p id="d2e9730">R448 <inline-formula><mml:math id="M884" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> i448/i446</p>
              </list-item>
              <list-item>

      <p id="d2e9743">R456 <inline-formula><mml:math id="M885" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> i456/i446</p>
              </list-item>
              <list-item>

      <p id="d2e9756">R546 <inline-formula><mml:math id="M886" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> i546/i446</p>
              </list-item>
            </list></p>
      <p id="d2e9768">Temperature stability of the laser and optical cell was verified through automated plotting.</p>
</sec>
<sec id="App1.Ch1.S1.SS1.SSS2">
  <label>A1.2</label><title>Identification of gas sample and calibration intervals</title>
      <p id="d2e9779">ECL indices assigned during acquisition were used to identify sample blocks and the two calibration gases (CG1 and CG2). Only intervals with the correct predefined length were retained to ensure consistent calibration.</p>
</sec>
<sec id="App1.Ch1.S1.SS1.SSS3">
  <label>A1.3</label><title>Calibration gases and normalization</title>
      <p id="d2e9790">Two N<sub>2</sub>O isotope reference gases diluted in N<sub>2</sub> and calibrated to international isotope-ratio scales (Air–N<sub>2</sub> for <inline-formula><mml:math id="M890" 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>, VSMOW for <inline-formula><mml:math id="M891" 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>) by several expert laboratories were used (Mohn et al., 2022): <list list-type="bullet"><list-item>
      <p id="d2e9861"><italic>CG1 (RM1A; anchor gas):</italic>
<inline-formula><mml:math id="M892" 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> <inline-formula><mml:math id="M894" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M895" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.22 <inline-formula><mml:math id="M896" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.46 ‰, <inline-formula><mml:math id="M897" 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> = 0.84 <inline-formula><mml:math id="M899" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.46 ‰, <inline-formula><mml:math id="M900" 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="M901" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 39.22 <inline-formula><mml:math id="M902" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15 ‰</p></list-item><list-item>
      <p id="d2e9961"><italic>CG2 (RM3A; span gas):</italic>
<inline-formula><mml:math id="M903" 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> = 50.96 <inline-formula><mml:math id="M905" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.47 ‰, <inline-formula><mml:math id="M906" 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> = 53.06 <inline-formula><mml:math id="M908" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.47 ‰, <inline-formula><mml:math id="M909" 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="M910" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 103.04 <inline-formula><mml:math id="M911" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.16 ‰</p></list-item></list> For each sample block, isotopologue ratios were normalized by dividing the sample ratio by the mean CG1 ratio measured immediately before and after the sample:

              <disp-formula id="App1.Ch1.S1.Ex1"><mml:math id="M912" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">sample</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CG</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="App1.Ch1.S1.SS1.SSS4">
  <label>A1.4</label><title>Calibration-factor determination</title>
      <p id="d2e10094">Calibration factors (<inline-formula><mml:math id="M913" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) were calculated from the measured ratio differences between CG1 and CG2 and the known isotopic differences:

              <disp-formula id="App1.Ch1.S1.Ex2"><mml:math id="M914" display="block"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>x</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">true</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">measured</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e10150">Uncertainty in <inline-formula><mml:math id="M915" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> incorporates both the assigned uncertainty of CG1 and CG2 and the variance of their measured ratios.</p>
      <p id="d2e10164">Corrected delta values were computed as:

              <disp-formula id="App1.Ch1.S1.Ex3"><mml:math id="M916" display="block"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mo>.</mml:mo><mml:mi>C</mml:mi><mml:mi>G</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mo>×</mml:mo><mml:mi>a</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mi>G</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="App1.Ch1.S1.SS1.SSS5">
  <label>A1.5</label><title>Uncertainty estimation</title>
      <p id="d2e10240">Instrumental precision was assessed using the Allan deviation at 60 s spectral averaging and was better than 0.1 ‰ for all <inline-formula><mml:math id="M917" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> values.</p>
      <p id="d2e10250">Uncertainty in <inline-formula><mml:math id="M918" 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>, <inline-formula><mml:math id="M920" 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>, and <inline-formula><mml:math id="M922" 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 was assessed by propagating contributions from (i) Allan deviation of the relevant isotopologue ratios, (ii) signal-intensity variability (i446 and minor isotopologues), and (iii) variability in calibration-factors.</p>
      <p id="d2e10304">The uncertainty for derived quantities was calculated using standard error-propagation rules. For example, site preference (SP <inline-formula><mml:math id="M923" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M924" 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> <inline-formula><mml:math id="M926" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M927" 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>) uncertainty was calculated as:

              <disp-formula id="App1.Ch1.S1.Ex4"><mml:math id="M929" display="block"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">SP</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e10391">Uncertainty in <inline-formula><mml:math id="M930" 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-bulk and <inline-formula><mml:math id="M931" 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 was propagated analogously from their respective isotopologue components.</p>
</sec>
<sec id="App1.Ch1.S1.SS1.SSS6">
  <label>A1.6</label><title>Data output</title>
      <p id="d2e10424">Corrected delta values with propagated uncertainties were exported as .csv files. Diagnostic plots (SP, <inline-formula><mml:math id="M932" 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-bulk, <inline-formula><mml:math id="M933" 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) were automatically generated for quality assurance.</p>
      <p id="d2e10449">All processing was performed in RStudio (R Core Team, 2020). The full script (IsotopeRead 2.0) is available upon request.</p>
</sec>
</sec>
<sec id="App1.Ch1.S1.SS2">
  <label>A2</label><title>Calculation of N<sub>2</sub>O yield and fractionation factors</title>
      <p id="d2e10471">N<sub>2</sub>O yield and isotopic fractionation as well as their uncertainties were calculated using a customized R script.</p>
      <p id="d2e10483">The molar amounts of N<sub>2</sub>O (n N<sub>2</sub>O) produced during each time interval <inline-formula><mml:math id="M938" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>T were calculated from FTIR-derived concentrations (C_gas in ppm; 10<sup>−6</sup> L L<sup>−1</sup>) and nitrogen gas flow rates (Q in mL min<sup>−1</sup>), using a molar volume of 22.4 L mol<sup>−1</sup>. NO was treated analogously (n_NO), considering concentrations which exceed the analytical detection limit. For intervals where NO remained below detection, n_NO was not calculated, and no NO yield was reported.

            <disp-formula id="App1.Ch1.S1.Ex5"><mml:math id="M943" display="block"><mml:mrow><mml:mi>n</mml:mi><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi mathvariant="normal">gas</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi>Q</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mn mathvariant="normal">22.4</mml:mn></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>×</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">gas</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow><mml:mn mathvariant="normal">1000</mml:mn></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e10616">Uncertainties in N<sub>2</sub>O production were calculated by propagation through partial derivatives of the above expression, incorporating both flow and concentration uncertainties. The uncertainty of the measured N<sub>2</sub>O and NO concentrations was attributed to either the instrumental detection limit (0.0075 ppm for N<sub>2</sub>O and 0.133 ppm for NO), or a relative uncertainty of 10 % for both N<sub>2</sub>O and NO, with the larger value used at each time point. Uncertainty in the nitrogen flow rate was assumed to be 0.3 % based on mass flow controller specifications (Vögtlin Instruments Inc., Switzerland).</p>
      <p id="d2e10656">The N<sub>2</sub>O yield (in %) was calculated from the molar amount of N<sub>2</sub>O produced over the experiment related to the molar amount of nitrogen substrate (KNO<sub>3</sub>, molar mass 101.1 g mol<sup>−1</sup>). Associated uncertainty was propagated from balance precision (<inline-formula><mml:math id="M952" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> g) and purity (<inline-formula><mml:math id="M953" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">99</mml:mn></mml:mrow></mml:math></inline-formula> %, conservatively estimated at <inline-formula><mml:math id="M954" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> %).</p>
      <p id="d2e10729">To calculate Rayleigh-type enrichment factors (<inline-formula><mml:math id="M955" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>), the isotopic composition of the accumulated N<sub>2</sub>O product gas (<inline-formula><mml:math id="M957" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">cum</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is required. This was calculated as a weighted average from temporal trends in delta values (<inline-formula><mml:math id="M958" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) weighted by the molar amount of N<sub>2</sub>O (<inline-formula><mml:math id="M960" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi mathvariant="normal">iN</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) emitted in the respective time interval. Calculations were performed on synchronized data averaged over 15 min time intervals:

            <disp-formula id="App1.Ch1.S1.Ex6"><mml:math id="M961" display="block"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">cum</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo movablelimits="false">∑</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:msub><mml:mi 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:mrow><mml:mrow><mml:mo movablelimits="false">∑</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:msub><mml:mi 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:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e10852">Uncertainties in <inline-formula><mml:math id="M962" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">cum</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>were computed from uncertainties in individual <inline-formula><mml:math id="M963" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>-values and the associated molar amount of N<sub>2</sub>O. Uncertainties in <inline-formula><mml:math id="M965" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">cum</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were propagated by summing the individual variances associated with <inline-formula><mml:math id="M966" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>-values and their corresponding N<sub>2</sub>O fluxes. At each time step, the square root of the cumulative variance yielded the standard error used to construct time-resolved confidence intervals for <inline-formula><mml:math id="M968" 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-bulk, <inline-formula><mml:math id="M969" 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 SP.</p>
      <p id="d2e10932">The fraction of remaining substrate (<inline-formula><mml:math id="M970" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>) in the Rayleigh reaction progress variable <inline-formula><mml:math id="M971" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>⋅</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was calculated as:

            <disp-formula id="App1.Ch1.S1.Ex7"><mml:math id="M972" display="block"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>n</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:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e11022">Uncertainties in <inline-formula><mml:math id="M973" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M974" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> were propagated from uncertainties in the molar amount of substrate (<inline-formula><mml:math id="M975" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), calculated from the nitrate mass and its molecular mass, and the cumulative molar amount of N<sub>2</sub>O.</p>
      <p id="d2e11064">Enrichment factors (<inline-formula><mml:math id="M977" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>) were obtained by Rayleigh-type regressions, plotting <inline-formula><mml:math id="M978" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> values of the accumulated N<sub>2</sub>O product gas against the transformed progress variable.</p>
      <p id="d2e11091">Daily averages, cumulative profiles, and model fits were exported as CSV files. Summary statistics include regression intercept, slope, standard errors, and confidence intervals for each isotopic parameter.</p>
</sec>
</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e11099">The datasets generated and analysed during this study are provided as supplementary Excel files on Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.21534019" ext-link-type="DOI">10.5281/zenodo.21534019</ext-link>, Chénier et al., 2026). Custom analysis scripts are available from the corresponding author upon request.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e11105">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-23-6705-2026-supplement" xlink:title="zip">https://doi.org/10.5194/bg-23-6705-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e11114">Conceptualization: NC, PMM, JM, MFL. Methodology: NC, PMM, CF, TK, MFL, JM. Investigations: NC. Resources: JM, TK, MFL, CF, JZ. Formal analysis: NC, PMM, JM. Visualization: NC. Writing: all authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e11120">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="d2e11126">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="d2e11132">This work was supported by the Swiss National Science Foundation (SNSF; grant no. 200020_204907). We thank Tim Paulus for help in learning the methods, Béla Tuzson for support with the laser spectrometer, André Kupferschmid for support with LabView, and Simone Brunamonti for support with the instrument system buildup. We used artificial intelligence tools for code development for data analysis and figure generation, as well as for text editing, paragraph polishing, and grammar correction during the manuscript preparation. All scientific interpretation, analytical decisions, and final manuscript content were reviewed and verified by the authors.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e11137">This work was supported by the Swiss National Science Foundation (SNSF; grant no. 200020_204907).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e11143">This paper was edited by Nicolas Brüggemann and reviewed by Dominika Lewicka-Szczebak and one anonymous referee.</p>
  </notes><ref-list>
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