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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</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/amt-19-2379-2026</article-id><title-group><article-title>Modification and validation of a commercial dynamic chamber for reactive nitrogen and greenhouse gas flux measurements</article-title><alt-title>A commercial dynamic chamber for reactive nitrogen fluxes</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Shah</surname><given-names>Moxy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Aregahegn</surname><given-names>Kifle Z.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Nodeh-Farahani</surname><given-names>Danial</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Crilley</surname><given-names>Leigh R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hasan</surname><given-names>Tasnia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ebrahimi-Iranpour</surname><given-names>Yashar</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Sarker</surname><given-names>Fahim</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Nickerson</surname><given-names>Nick</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Creelman</surname><given-names>Chance</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ellis</surname><given-names>Sarah</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Moravek</surname><given-names>Alexander</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>VandenBoer</surname><given-names>Trevor C.</given-names></name>
          <email>tvandenb@yorku.ca</email>
        <ext-link>https://orcid.org/0000-0001-8926-4237</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Chemistry, York University, Toronto, Ontario, Canada</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Eosense Inc., Dartmouth, Nova Scotia, Canada</institution>
        </aff>
        <aff id="aff3"><label>a</label><institution>now at: Atmospheric Services, WSP Australia, Brisbane, QLD, Australia</institution>
        </aff>
        <aff id="aff4"><label>b</label><institution>now at: German Environment Agency, Department of Air Quality, Dessau-Rosslau, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Trevor C. VandenBoer (tvandenb@yorku.ca)</corresp></author-notes><pub-date><day>10</day><month>April</month><year>2026</year></pub-date>
      
      <volume>19</volume>
      <issue>7</issue>
      <fpage>2379</fpage><lpage>2405</lpage>
      <history>
        <date date-type="received"><day>22</day><month>September</month><year>2025</year></date>
           <date date-type="rev-request"><day>22</day><month>October</month><year>2025</year></date>
           <date date-type="rev-recd"><day>27</day><month>February</month><year>2026</year></date>
           <date date-type="accepted"><day>10</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Moxy Shah 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://amt.copernicus.org/articles/19/2379/2026/amt-19-2379-2026.html">This article is available from https://amt.copernicus.org/articles/19/2379/2026/amt-19-2379-2026.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/19/2379/2026/amt-19-2379-2026.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/19/2379/2026/amt-19-2379-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e202">Reactive nitrogen gases (NO, <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HONO, <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and others; <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) play important roles in atmospheric processes, and their cascading impacts throughout the Earth system have adverse effects on both the environment and human health. The fluxes of these gases at the surface-atmosphere interface have been studied in isolation or smaller subsets, but simultaneous fluxes of all <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> alongside standard greenhouse gases (GHGs) have not been reported. Here, a dual-dynamic chamber system was developed for <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by modifying a commercially available system for GHG fluxes for use with destructive analyzers. It includes a reference chamber to account for chemical reactions and surface interactions. The resulting platform makes the measurement of <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and by extension, other reactive gases, more widely accessible to the scientific community because custom chambers do not need to be fabricated.</p>

      <p id="d2e272">System modifications to passivate surfaces reduced an initial 36 % loss of <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to below analyzer detection limits (<inline-formula><mml:math id="M8" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 10 %) for relevant atmospheric conditions. The modified 72 L chamber response times (<inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>) did not change for GHGs or NO (<inline-formula><mml:math id="M10" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M11" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 37–39 min versus a theoretical 36 min) at a flow rate of 2 L min<sup>−1</sup>. The modifications improved the transfer of <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HONO, and <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by up to 2 min, but substantial surface interactions for <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> remain. A surface interaction term was characterized for these gases to obtain accurate field fluxes via a mass balance framework.</p>

      <p id="d2e360">Proof-of-concept measurements of <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from agricultural soil samples under controlled lab conditions as a function of soil water content were able to quantify emissions of NO, <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HONO, <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> simultaneously. We observed soil fluxes without amendment and when subject to <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fertilization. Unfertilized soils showed variability in <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HONO emissions when soil structure was minimally disturbed, consistent with in-situ field measurements from other researchers. These oppose maximum potential fluxes in prior lab soil manipulations, particularly for HONO relative to NO. Last, <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> field fluxes were quantified with the dual-chamber system on an in-use agricultural soil, including baseline conditions and a urea-based fertilizer perturbation to stimulate microbial and chemical transformation and transfer <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to the atmosphere. Good agreement with other field flux techniques was found. The mass balance terms within the dual-chamber approach are fully inspected from the pilot deployment in the field, along with an error analysis, to aid in the uptake of this approach by the community.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Natural Sciences and Engineering Research Council of Canada</funding-source>
<award-id>ALLRP 570577-2021</award-id>
<award-id>RGPIN-2020-06166</award-id>
<award-id>DGECR-2020-00186</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="d2e463">Earth's biogeochemical nitrogen (N) cycle is essential for sustaining life through the production of nucleic acids, proteins, and other vital biomolecules (Lehnert et al., 2021). The carbon cycle receives much focus due to the climate impacts of greenhouse gases (GHGs) like carbon dioxide (<inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and methane (<inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), yet the N cycle is intertwined (Schlesinger, 2020). At the interface of these cycles and the Earth's surface, reactive nitrogen (<inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) species exchanged between ecosystems and the atmosphere have therefore become an area of emerging interest (Lehnert et al., 2021; Wu et al., 2020). Atmospheric <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species such as nitric oxide (NO) and nitrogen dioxide (NO<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> – collectively referred to as <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> – ammonia (<inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and nitrous acid (HONO) can experience surface–atmosphere exchange, impacting local air or water quality, ecosystem processes, and biodiversity (Lehnert et al., 2021; Richardson et al., 2023; Wu et al., 2020). Meanwhile, the non-reactive nitrous oxide (<inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) has climate impacts due to its <inline-formula><mml:math id="M32" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 120-year lifetime (IPCC, 2023).</p>
      <p id="d2e565">Reactive nitrogen gases play important roles in atmospheric processes, contributing to the formation of pollutants like ozone (<inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and secondary organic aerosols (SOA). The exchange of <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> between the Earth's surface and the atmosphere involves production and loss processes driven by both natural and human activities. They are removed through wet and dry deposition, and their abundance reflects the net outcome relative to emissions (Delaria and Cohen, 2023). At the surface, <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is released into the atmosphere by microbial nitrogen cycling, agricultural activities, wildfires, or fossil fuel combustion (Benedict et al., 2017; Mosier, 2008; Yang et al., 2024). Studying <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at the surface–atmosphere interface with high time resolution and chemical speciation remains a challenge due to its high spatial and temporal variability driven by factors like climate, vegetation cover, and soil/surface properties (Ludwig et al., 2001). For example, vertically resolved HONO production at the ground surface demonstrated how it plays a major role in the unexplained daytime HONO source and its impact on daytime hydroxyl radical (OH) levels (VandenBoer et al., 2013, 2015; Young et al., 2012). Such observations pose a challenge because suitable high time resolution equipment is expensive, preventing the interplay between emission and deposition for all <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species from being studied concurrently. As a result, no systems are sufficiently accessible to the scientific community to be deployed widely across different global landscapes, particularly soils.</p>
      <p id="d2e623">Soils function as both a source and a sink of <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Soil-atmosphere exchange of <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is governed by atmospheric abundance and/or soil microbial processes such as nitrification and denitrification, with factors like pH, moisture, organic matter, and nitrogen availability regulating flux directionality (Mosier, 2008; Purchase et al., 2023; Stępniewski et al., 2015). Microbial processes can drive the formation and release of <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species like NO, <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> from soils, and similar assertions with respect to HONO have been made (Butterbach-Bahl and Dannenmann, 2011; Kool et al., 2010; Mushinski et al., 2019; Oswald et al., 2013; Su et al., 2011). Understanding the exchange of all <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases is essential for unravelling the complex interactions between the nitrogen and carbon cycles and their broader environmental impacts (Richardson et al., 2023, Fowler et al., 2013).</p>
      <p id="d2e695">Various flux measurement techniques have been employed to quantify <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exchange for subsets of species. Quantifying fluxes has been most effectively applied to GHGs at the surface-atmosphere interface. Traditional measurement methods, such as eddy covariance (EC), relaxed eddy accumulation (REA), and aerodynamic gradient (AG) methods, have been extensively used for ecosystem-scale, continuous flux monitoring, including targeted assessment of most <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species (e.g., Bao et al., 2022; Geddes and Murphy, 2014; Kamp et al., 2020; Laufs et al., 2017; Min et al., 2014; Moravek et al., 2014, 2019; Ren et al., 2011; von der Heyden et al., 2022; Wang et al., 2022; Wolff et al., 2010). These micrometeorological techniques measure concentrations, concentration gradients, and/or turbulence to estimate fluxes across interfaces applicable to ecosystem-scale processes. When operated continuously, they offer long-term insight without disrupting the natural system. Chamber methods have some advantages compared to micrometeorological techniques, as they are relatively inexpensive, easy to deploy, and require minimal prior meteorological training and expertise (Tang et al., 2020). Chambers are limited to small plots, making them suitable to study the effect of different fertilizer treatments on agricultural soils, for example (Anthony and Silver, 2024; Chiaravalloti et al., 2023; Manco et al., 2025; Tang et al., 2020). The chamber method is widely used for GHG fluxes, especially <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. However, challenges remain in addressing potential biases introduced by chemical transformations within a chamber and interactions with the surfaces, particularly for <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species such as <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HONO, and <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e768">Chemical transformations can occur on all surfaces between the point of emission and measurement, where surface interactions such as adsorption, desorption, and heterogeneous reactions can alter the apparent concentration. For example, NO could react with <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to form <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the day and <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at night if sufficient <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is present to fully titrate NO (Reactions R1, R2). Heterogeneous reaction of gas-phase <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on surfaces under humid conditions also produces nitric acid (<inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and HONO (Reaction R3), although the real-world mechanism is not second order and remains uncertain (Kleffmann et al., 2005; Ramazan et al., 2004; VandenBoer et al., 2015). The formed HONO can undergo multiphase processes by partitioning into water according to its Henry's Law constant and then dissociating into nitrite (<inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and the hydronium ion (<inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) according to its acid dissociation equilibrium constant and the pH (Reactions R4, R5) (He et al., 2006; Ren et al., 2020). Nitrous acid could also photolyze, yielding NO and OH (Reactions R6) (Spataro and Ianniello, 2014). 

              <disp-formula specific-use="gather" content-type="numbered reaction"><mml:math id="M58" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R1"><mml:mtd><mml:mtext>R1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R2"><mml:mtd><mml:mtext>R2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R3"><mml:mtd><mml:mtext>R3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">ads</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">ads</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R4"><mml:mtd><mml:mtext>R4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mo>⇌</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R5"><mml:mtd><mml:mtext>R5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mo>⇌</mml:mo><mml:mrow class="chem"><mml:msub><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R6"><mml:mtd><mml:mtext>R6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

        These processes in/on the chamber and downstream surfaces can introduce uncertainty in flux measurements. Characterizing and accounting for chemistry and surface effects in chamber-based flux methods are therefore necessary. Static chamber systems typically determine the flux from the change in headspace concentration after closing the lid. Dynamic chamber systems have traditionally used a controlled flow of ambient air through the headspace to retrieve the flux from a concentration difference between the chamber inlet and outlet. The dynamic chamber flux method has measured challenging gases like biogenic volatile organic compounds, such as monoterpenes and isoprene, from vegetation and farmland (Kolari et al., 2012; Mochizuki et al., 2018; Pugliese et al., 2023), <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> volatilization from cattle manure (Becciolini et al., 2024), <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and  <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from turfgrass (Maggiotto et al., 2000), and <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from grasslands (Pape et al., 2009; Plake et al., 2015a). Scharko et al. (2015) used sealed chambers, while Tang et al. (2019) used dynamic, to highlight the hotspot potential for both HONO and <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from agricultural soils. These are of high interest due to their impacts on atmospheric chemistry from local to regional scales.</p>
      <p id="d2e1205">For example, the complex biological and chemical controls on nitrite (<inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) production and loss in soils, coupled with soil properties facilitating gas exchange of HONO, has led to intense interest and debate around discerning the fundamental controls on its surface-atmosphere exchange (Reactions R4, R5) (Barney and Finlayson-Pitts, 2000; Huang et al., 2002; Kamboures et al., 2008; Meusel et al., 2018; Mushinski et al., 2019; Purchase et al., 2023; Song et al., 2023; Sörgel et al., 2015; Wang et al., 2021). The same is true for direct emissions of <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from soils, where evidence remains limited, and the uncertainty is high (Huber et al., 2024; Zörner et al., 2016). For example, Gong et al. (2025) estimate that fertilizer-induced soil <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions contribute 0.84–2.20 Tg N yr<sup>−1</sup> globally. The large uncertainty is partly due to a lack of <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements. Their modelling suggests this underestimates summertime ozone enhancements by 0.3–3.3 ppbv in agricultural hotspot regions, and has been implemented in atmospheric models (Ha et al., 2023; Tian et al., 2024). Thus, <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exchange in agricultural regions subject to elevated levels through excessive nitrogen inputs is a prime target for chamber methodologies (Degaspari et al., 2020; Huber et al., 2020; Manco et al., 2025). These knowledge gaps highlight the need for more field-based soil <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HONO flux measurements, alongside simultaneous constraints on the entire <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> suite.</p>
      <p id="d2e1300">Automated dynamic chambers deployed in situ for field observations and to conduct controlled experiments could capture the magnitude, direction, and temporal variability of <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species and physical variables while retaining soils in an intact state (Aneja et al., 2006). Thus, establishing an accessible dynamic chamber method for <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> flux measurements is desirable. However, such a platform needs to undergo extensive validation to reduce flux bias from challenging <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species such as <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. This important and necessary first step will allow a wider global study of surface-atmosphere <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exchange processes. One of the best existing examples to date of automated dynamic chamber design for <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurements, is the custom-built system from Pape et al. (2009) who measured NO, <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to deploy an unattended array of six samplers with destructive gas analyzers. In their system, a reference chamber was used to characterize system surface effects, while using a large volume flow through the headspace during chamber closure periods to quantify fluxes on the assumption that ambient levels were not dramatically changing (e.g. due to nearby point sources). This work synthesized many advantages from similar designs to study soil- and plant-atmosphere interactions, but the technique remains accessible only to researchers with in-house engineering design and fabrication facilities. In the intervening years, dynamic chambers for GHG fluxes have become widely commercialized to improve measurement capacity compared to static chamber determinations and to make flux observations more accessible compared to conducting EC measurements.</p>
      <p id="d2e1392">Here, we bridge several gaps to link the atmospheric GHG and <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> flux communities with a dynamic flux system for <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, NO, <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HONO, and <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. First, we modify commercial dynamic chambers with large volume (72 L) and footprint (0.21 m<sup>2</sup>) originally designed for trace GHG flux measurements to make them suitable for quantifying the most prevalent <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gas exchange fluxes at surface–atmosphere interfaces, meaning the apparatus is more widely available to the atmospheric community. Next, we implement surface and hardware modifications to adapt the commercial chambers to minimize gas adsorption and transformations, so that more reactive gases such as HONO and <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can be added to the <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> flux analyte suite. We systematically characterized the transfer of both GHGs and <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species by calculating fill and empty rates, transformed to time constants, to identify and minimize surface interactions and/or transformations on the chamber surfaces. We then applied our modified commercial dynamic chambers to make flux measurements by equipping them with destructive gas analyzers for HONO and <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and a Picarro G2509 cavity ring-down spectrometer for <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in lab experiments, or under field conditions with a fully automated dual-chamber approach in a pilot study with 30 min closures to obtain a sufficient number of measurements to detect relevant fluxes with standard gas analyzers. Fluxes during the pilot study were assessed by rate of change determinations during closure periods and bias minimized through a mass balance to demonstrate system capabilities for several <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases in an agricultural field. This community-accessible approach addresses key needs by allowing more researchers to measure <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exchange at the surface–atmosphere interface, with the added benefit over past systems to monitor fluxes of all species simultaneously with at least hourly time resolution when using gas analyzers with 1 min measurement frequencies.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Dynamic Chambers for Field Fluxes</title>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Description of custom-modified dual-dynamic chambers fluxes</title>
      <p id="d2e1620">The dynamic chamber system uses two identical commercially available units (eosAC-LT Eosense, Dartmouth, NS). These are modified and coupled to programmable valves that control sample gases delivered to a suite of instrumentation (Fig. 1A).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1625"><bold>(A)</bold> Schematic of the dynamic chamber system to measure <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and GHG fluxes. The components of the system include: the chambers, a dilution gas source (nitrogen (<inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) or zero air (ZA)), solenoid valve control, gas transfer lines, and gas analyzers. Grey lines indicate dilution gas flow from a source (e.g. cylinder) to the measurement chamber (MC) and air sampled from the MC to the analyzers. The dashed orange line represents these same flows relative to the reference chamber (RC). Communication lines from the chambers to a computer for automated control and ancillary sensor data collection using the chamber software (eoslink-AC; blue dotted lines). <bold>(B)</bold> The valve control setup for flow control in the complete dynamic chamber system, illustrating electrical components and lines needed for full automation using LabVIEW. It includes two 24 V DC two-way valves (V1 and V2; red dashed lines for negative electric potential, green for positive), with power supplied by solid-state relays, and a three-way 120 V AC valve (V3; black lines) with a power supply and another solid-state relay. The purple arrow represents the USB data acquisition connection from the microcontroller to a computer running the LabVIEW VI for valve control. <bold>(C)</bold> Field deployment of the dynamic chamber system, where the closed chamber is the reference and the open chamber functions as the measurement chamber.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/2379/2026/amt-19-2379-2026-f01.png"/>

          </fig>

      <p id="d2e1664">The dynamic chambers are constructed with transparent polyacrylate walls and lids, with an internal volume of 0.072 m<sup>3</sup> (72 L) and bottom surface area of 0.21 m<sup>2</sup>. When used on soils the chambers are secured with collars and custom-made polytetrafluorethylene (PTFE) rings (Fig. S1 in the Supplement). A built-in fan ensures uniform distribution of gases inside the chamber. Air temperature is measured inside from the fan arm, pressure is from the control box outside the chamber, and two auxiliary ports, one internal and external, can collect environmental properties such as relative humidity (RH), photosynthetically active radiation (PAR), soil temperature, and/or soil volumetric water content (VWC).</p>
      <p id="d2e1686">For an <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> sampling approach, one chamber is used as the measurement (MC) from an experimental surface while the second is a reference (RC) sealed at the bottom with a 51 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (0.002<sup>′′</sup>) film of perfluoroalkoxy alkane (PFA; McMasterr-Carr<sup>®</sup>, PN: 84955K24). The inert PFA film is held in place between the chamber collar and our custom-made PTFE rings (Fig. S1). The RC acts as a negative control for physical interactions and/or associated chemistry of reactive gases on chamber and gas transfer line surfaces. The use of the RC, therefore, is to facilitate the correction of surface-mediated effects, reactions, and reduction of bias when determining flux values.</p>
      <p id="d2e1725">The RC component of this system is designed to continuously baseline the physical interactions and chemistry happening on its surfaces both before and after quantifying reactive gas fluxes with the MC. Here, the flux measurements are made every 30 min, where one chamber is closed for gas analysis while the other is open to the ambient atmosphere. The sampling time interval was determined based on (i) obtaining enough measurements at 1 min time resolution to perform a reliable accumulation or loss linear regression, and (ii) an ability to detect the lower limit of field HONO flux values previously reported in the literature for our pilot field study (see Sect. 2.7). For the first criterion, this includes an exclusion of the first and last few measurements (3 to 5) to allow complete gas replacement in the chamber lines and analyzers, as well as the disruption of the sealed environment when the chamber cycle alternates. The resulting accumulated mixing ratios of HONO at the lower literature limit in the chamber, closed for 30 min, are well above the 1.4 parts per billion (ppbv) mixing ratio detection limit (LOD) of even a modified <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer (Crilley et al., 2023; Lao et al., 2020; Zhou et al., 2018; Nodeh-Farahani et al., 2021).</p>
      <p id="d2e1739">Headspace recirculation to facilitate analyte mixing ratio accumulation or depletion for non-destructive spectroscopic GHG analysis is a common measurement approach to decrease flux observation times. Reactive nitrogen measurements, in contrast, are typically destructive techniques that change the identity of the target analyte in the act of quantifying its abundance. To interface with such instruments, the sampled air needs to be replaced (Linde Canada Plc, PN: NI LC250-230) to balance the flow demand in a closed chamber. This balance is delicate even when using mass flow controllers (MFCs) on both incoming and outgoing flows, and the best solution we identified is to provide a slight overflow that takes advantage of the chamber design to vent excess pressure through a short length (<inline-formula><mml:math id="M106" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 15 cm) of 1/8<sup>′′</sup> ID (3.175 mm), 1/4<sup>′′</sup> OD (6.35 mm) tubing that keeps the internal pressure equivalent to ambient. The flow differential between make-up gas and sampling is roughly 400 cm<sup>3</sup> min<sup>−1</sup>. Such a supply of make-up gas was explored across a range of potential flow rates when using destructive gas analyzers (e.g., three instruments each sampling at 1–4 standard litres per minute, L min<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to find that 6 L min<sup>−1</sup> is the upper limit of flow-through where the chamber pressure is not substantially perturbed from ambient and the chamber lid retains its seal.</p>
      <p id="d2e1822">In the field, a flux measurement cycle begins with closing the RC while the MC is open. At defined intervals, they alternate their open-closed states. Flows of make-up gas to each chamber are modulated with a pair of two-way solenoid valves. When sampling from the RC, one valve (V1; Fig. 1) is open to permit make-up gas flow while the other valve (V2) is closed to prevent the flow from being directed to the MC. On the sampling lines, a three-way solenoid valve (V3) alternates to guide flow from whichever is closed to the suite of gas analyzers. All instrument and operational details are provided in Sect. 2.1.3.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Automated controls: system, data collection and processing</title>
      <p id="d2e1833">The chamber eosLink-AC software (Eosense Inc., Dartmouth, NS) is used to define the duration of chamber opening and closing cycles, and logs chamber temperature, pressure, and auxiliary sensor data associated with a given eosAC-LT chamber. Each chamber requires a 12 V DC power supply connected by USB to a laptop through a weatherproof communication cable, controlling the chamber lid and data transfer.</p>
      <p id="d2e1836">When a chamber cycle begins, a text file is generated and includes measurement time elapsed, chamber lid status, and sensor data. This data file is updated at least once every 10 s, varying between 2 and 8 s intervals, which we average onto a 1 min time base to match measurements from the slowest gas analyzers. The solenoid valves are modulated by the electrical circuit shown in Fig. 1B. Automation can be facilitated by a microcontroller (NI-6509i, National Instruments) programmed with a custom-scripted LabVIEW VI (LabVIEW version 2020). Further design information and full details of this sampling strategy and script can be found in Sect. S1 of the Supplement and is available on the GitHub repository alongside our VI (<uri>https://github.com/fjs-vdblab/fluxchamber.git</uri>, last access: 2 April 2026).</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Instrumentation for N<sub>r</sub> and GHG flux measurements</title>
      <p id="d2e1860">The mixing ratios of NO and <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were measured using a commercially available chemiluminescent <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer (EC 9841, American Ecotech, Warren, RI). The calculated LOD determined from sampling dry zero air was 0.8, 0.7 and 1.1 ppbv for NO, <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (or HONO when using the denuder as described below), respectively. The instrument has an operating range of 0–20 parts-per-million by volume (ppmv), a sample flow rate of 0.5 L min<sup>−1</sup>, and reports measurements at a time resolution of 1 min. To quantify <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, it is reduced to NO on a heated molybdenum catalyst (325 °C). To prevent interferences reported by others from atmospherically-relevant acidic species in this system (e.g. HONO, <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) the sampled air from the chambers during field experiments was passed through a sodium carbonate (<inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Na</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) coated annular denuder to reduce bias in the <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurement, as these species and other components of <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (e.g. peroxyacetyl nitrate; PAN) may also be reduced to NO (Villena et al., 2012). The <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Na</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> denuder was prepared according to the EPA Compendium Method IO-4.2 (Winberry et al., 1988; U.S. EPA, 1999) to remove atmospheric acids by reactive uptake to the basic coating. As part of our controlled laboratory and pilot field study experiments, this denuder was also used to selectively measure HONO by scrubbing this target gas for a specified period, but it would include the other known interferences. If the <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> term is depositing, it could include other <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> detected by the same conversion mechanism, but if emitting we expect it to be dominated by HONO. Ideally, a platform like time-of-flight chemical ionization mass spectrometry (ToF-CIMS) would be used for disambiguation, but was not available at the time of this work.</p>
      <p id="d2e2035">A commercial <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> analyzer (Serinus 10, American Ecotech, Warren, RI) was used to measure mixing ratios, quantify <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss to surfaces, and constrain the reaction of <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with NO to form <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the pilot study sampling. This analyzer employs a non-dispersive UV absorption cell to quantify <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the sampled air. The calculated LOD from sampling zero air is 0.95 ppbv at 1 min time resolution, with an operating range of 0 to 20 ppmv and a sampling flow rate of 0.5 L min<sup>−1</sup>. Quality control procedures for the <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> instruments can be found in Sect. S2.</p>
      <p id="d2e2128">The mixing ratios of the GHGs <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sampled from the automated chamber system were measured using a Picarro G2509 which uses cavity ring down spectroscopy. The analyzer has a time response of <inline-formula><mml:math id="M141" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8 s for <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M146" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2 min for <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. It was used for the lab experiments and the pilot field study. The customized version of the instrument sampled at <inline-formula><mml:math id="M148" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.23 L min<sup>−1</sup> and was equipped with an inlet filter. To minimize adsorption and chemical interactions of <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on instrument surfaces, stainless steel gas handling components, including the inlet bulkhead, were replaced with PFA counterparts. The instrument cavity material was treated with a SilcoNert<sup>®</sup> coating by the manufacturer. We did not observe changes in its performance for the measured gases when operated according to the manufacturer guidelines. The Picarro G2509 analyzer spectroscopic mixing ratio determination means a full span calibration is not a regular necessity. Despite this, we validated its calibration and performed quality control checks in the lab to ensure the accuracy and stability of the analyzer for all aspects of this work (Sect. S2).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Chamber modifications to minimize <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions on chamber surfaces</title>
      <p id="d2e2319">To transfer reactive gases through these chambers, interactions with surfaces need to be limited at all points of potential adsorptive or reactive losses. The custom-made base plate (Fig. S1) was used to assess gas interactions on the commercial chamber surfaces. and identification of parts for replacement. First, the gas inlet and outlet push-to-connect fittings in the original configuration have plastic grips, with an internal component made of brass, which is informally known in the atmospheric chemistry community to have strong interactions with nitrogen oxides. These were replaced with PTFE Swagelok<sup>®</sup> bulkhead fittings (PN: T-400-1-4; Fig. S2). Second, the polyacrylate wall and lid surfaces of the chambers had the 51 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (0.002<sup>′′</sup>) PFA film applied to the inner surfaces using double-sided tape to retain actinic transparency and PAR transfer to contained plants and surfaces (Fig. S2).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Chamber modification validation using GHG and N<sub>r</sub> gases</title>
      <p id="d2e2365">Before and after our modifications, we had to ensure that the non-reactive GHG transfer was unchanged in addition to challenge tests for the transfer of <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases. It was expected that <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases would interact and/or react on chamber surfaces that would differ between the unmodified and modified variants and 15 m of standard PFA sampling tubing. Determining the time constants of fill (Eqs. 1, 2) and decay (Eqs. 3, 4) of these interactive and/or reactive gases in the chamber system allowed us to contrast their behaviour against that expected from a modelled theoretical inert trace gas in our system (Fig. 2). Equations used to model mass transfer in our chambers were derived from Pape et al. (2009). The resulting accumulation curve was modelled by the theoretical function: 

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M157" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">fill</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mfrac><mml:mi>t</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">fill</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mfenced></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">fill</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>V</mml:mi><mml:mfenced close="" open="/"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">fill</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">fill</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represent the normalized mixing ratio (<inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) of gas in the chamber at a time (<inline-formula><mml:math id="M160" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>, min) relative to the maximum mixing ratio within the measurement cycle, <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">fill</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is theoretical accumulation timescale for transfer of an ideal inert gas (min), <inline-formula><mml:math id="M162" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is the volume of the chamber (0.072 m<sup>3</sup>), and <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">fill</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the total experimental flow rate (2 L min<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Similarly, the theoretical decay curve when emptying the chamber can be obtained, where <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">emp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the theoretical decay timescale for gas transfer (min) and <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">emp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is again the total experimental flow rate (2 L min<sup>−1</sup>).

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M169" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E9"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">emp</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mfrac><mml:mi>t</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">emp</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mfenced></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E10"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">emp</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>V</mml:mi><mml:mfenced close="" open="/"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">emp</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e2653">Addition of <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and GHGs to a modified dynamic chamber. For clarity, the coloured traces show the fitting curves corresponding to the response time in concentration normalized to the delivered value of each gas while filling and emptying the chamber. The black trace corresponds to a perfect non-reactive transfer of an ideal trace gas based on volume transfer in the chamber only. Note that the <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and NO fill and empty traces all overlap with the theoretical fill and empty curves.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/2379/2026/amt-19-2379-2026-f02.png"/>

        </fig>

<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Instrumentation and materials for control experiments</title>
      <p id="d2e2715">Control experiments for the transmission of GHG and <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases were conducted by filling and emptying the chambers with known quantities at mixing ratios relevant to the atmosphere, as well as quantities expected to accumulate during real observations of modest emission fluxes (e.g. from a fertilized agricultural field). All assessments herein matched: the standard configuration of the chambers with all fittings, 15 m of 1/4<sup>′′</sup> O.D. (6.35 mm) PFA gas transfer tubing, flow rates, valves and gas transfer lines to instrumentation, with line/fitting/valve/instrumentation surfaces included. Details to control gas concentrations can be found in Sect. S3.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Filling and emptying experiments with N<sub>r</sub>, O<sub>3</sub>, and GHGs</title>
      <p id="d2e2769">The positive control experiments filled the chambers in both modified and unmodified configurations and time constants were calculated from the measurements. In each filling experiment, the chamber was flushed with pure <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from a dewar (Linde Canada, PN: NI LC250-20) until a stable baseline level of each gas mixing ratio was reached; typically, these were values at the analyzer detection limits. Then, a blend of GHGs or one of the <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analytes was delivered into the chamber with <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dilution at 2 L min<sup>−1</sup>, which was sampled at 1.8 L min<sup>−1</sup> by the analyzers (Fig. S4). The gases were added to the chamber until the observed concentration (<inline-formula><mml:math id="M183" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula>) reached the known value being delivered (<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), within error. Since different mixing ratios of the gases were added for these control experiments, normalized concentrations facilitate data analysis and visualization. Where surface interactions could be identified (e.g. for <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), the role of surfaces versus air exchange was explored using double exponential fits (see Eqs. S1 and S2 in Sect. S3) (Crilley et al., 2023; Ellis et al., 2010; Moravek et al., 2019). The gases were emptied back to the initial baseline level before starting the next replicate or a new experiment with a different target gas. Time constants for filling and emptying were determined by fitting the observations in Igor Pro 8 (Wavemetrics, Portland, OR, US).</p>
      <p id="d2e2859">Similarly, the Eosense eosMX multiplexer is designed to coordinate chamber flux measurements using eosAC chambers with non-destructive analyzers, such that headspace can be recirculated while the chambers are closed. One of these devices was characterized following similar modifications. This system is appealing as it has the eosLink-MX software (Eosense, V1.9.07), for communication, scheduling actions, and logging peripheral data from all connected eosAC chambers. It features dedicated chamber tubing inlets and outlets, along with a COMM port supporting up to 12 eosAC chambers. Each chamber channel includes two Swagelok gas fittings for transport to analyzers and for recirculating, or in the case of <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurements, supplying a dilution gas to the chamber headspace.</p>
      <p id="d2e2873">To optimize the performance for <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species, the original stainless-steel (SS) Swagelok fittings and solenoid valves were compared against replacement PFA bulkhead unions (Swagelok, PFA-420-61), and a PTFE 3-way valve (Clippard, NR1-2-12-G2). A 2 L min<sup>−1</sup> flow of dry zero air containing the target compounds was passed through the SS valve with SS fittings or the PTFE valve with PFA fittings for 30 min each. The flow was measured before and after the valves to ensure the setup was free of leaks. The ratio of the transferred gas amount to the nominal identified surface interactions impacting downstream gas analyzers. Details are presented in Sects. 2.7 and S4.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Characterization of NO<sub>2</sub> and O<sub>3</sub> loss on chamber surfaces</title>
      <p id="d2e2927">Losses of <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the chamber were characterized by addition of 5–10 ppbv <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> under relevant relative humidity (RH) conditions (45 %–85 % RH; Fig. S5; Sect. S5). The <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio and RH range covered for these experiments are representative of the ambient atmosphere in an urban area (Toronto North Station, ECCC). The experiments were performed progressively and in triplicate with 5 ppbv of <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and 85 % RH, starting from the unmodified configuration of the chamber, replacement of fittings, and covering the inner surface with PFA film to quantify their efficacy in minimizing <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss and/or transformation on chamber surfaces. These were followed by varying <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios and RH to characterize the dependencies in the modified system.</p>
      <p id="d2e2997">Quantification of <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HONO in the chamber air was done using the alternating solenoid setup depicted in Fig. S5. The sampled air is switched between two channels – one directly to the <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer and the other through a <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Na</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-coated denuder – modulated every 5 min by a three-way solenoid valve (Fluoroware Galtek 1/4<sup>′′</sup> F-NPT 3-way solenoid valve, 115V, PN: 203-3414-415. Entegris Inc., MN, US). When the sampled air flows directly to the analyzer, the total mixing ratio of <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and acidic <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species, like HONO and <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, is measured and has been termed NO<inline-formula><mml:math id="M204" 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> (Crilley et al., 2023; Lao et al., 2020; Zhou et al., 2018). When the flow is directed through a <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Na</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> denuder, it selectively scrubs HONO and <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, leaving behind <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Possanzini et al., 1983). Under the controlled <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> composition used in our experiments, it is expected that HONO will be the only acid present in the sampled air, as such experimental systems have been thoroughly characterized by Finlayson-Pitts et al. (2003), and <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is retained on the surfaces (Reaction R3) (Barney and Finlayson-Pitts, 2000; Huang et al., 2002; Kamboures et al., 2008). As a result, by the differential measurement of mixing ratios recorded in the two channels (Eq. 5) every 5 min, HONO can be quantified.

            <disp-formula id="Ch1.E11" content-type="numbered"><label>5</label><mml:math id="M210" display="block"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:msup><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>∗</mml:mo></mml:msup><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula>

          To quantify the amount of <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lost to the chamber surface relative to the mixing ratio of <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> added to the chamber during an experiment, the <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss fraction (<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) was found to be informative for mass balance between the two processes.</p>
      <p id="d2e3234">Similarly, we tested the modifications and aging of the installed PFA film surfaces on <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transfer. It is among the most sensitive/reactive species to transfer and is expected to drive reactive loss of NO when measuring <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes. The fraction of <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lost to chamber surfaces was quantified from 150–250 ppbv using a clean and unmodified chamber with PTFE bulkhead fittings replacing the push-to-connect brass fittings (Sect. S5).</p>
      <p id="d2e3271">The fraction of <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lost to chamber surfaces was then quantified in duplicate on a modified chamber with the interior chamber surfaces covered by brand new PFA film or one exposed to ambient air for more than 2 years, with 15 d of continuous use in an agricultural field during our pilot study.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Proof of concept <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from agricultural soils</title>
<sec id="Ch1.S2.SS5.SSS1">
  <label>2.5.1</label><title>Soil sample <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions for lab experiments</title>
      <p id="d2e3325">Randomized soil samples weighing 4–5 kg were collected into Ziploc<sup>®</sup> bags from an eight-plot grid established at an agricultural field site in Lambton County, ON, Canada (43°09<sup>′</sup>36.0<sup>′′</sup> N 81°55<sup>′</sup>48.0<sup>′′</sup> W). The samples were used to investigate emissions in the lab with and without the addition of fertilizers. Individual and pooled samples from the plots were used. Bulk soil samples were prepared for lab-based chamber measurements by removing debris, roots, and seeds, followed by drying at 35 °C for 24–72 h on a stainless-steel mesh tray covered with aluminum foil, to prevent alteration of the microbial community from exposure to unrealistic temperature regimes. After drying, samples were stored in Ziploc<sup>®</sup> bags at room temperature until use.</p>
      <p id="d2e3377">Ultrapure water (18 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">M</mml:mi><mml:mi mathvariant="normal">Ω</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; Milli-Q<sup>®</sup>, Sigma-Aldrich, St, Louis, US) was added to approximately 350 g of a dry soil sample to achieve <inline-formula><mml:math id="M226" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 28 % volumetric water content (VWC). The soil sample was loaded into the chamber on a foil-lined tray, and the water content was measured using a soil moisture probe inserted fully into the sample (TEROS 11, VWC range for mineral soils: 0.00–0.70 m<sup>3</sup> m<sup>−3</sup>; accuracy: <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> m<sup>3</sup> m<sup>−3</sup>; resolution: 0.001 m<sup>3</sup> m<sup>−3</sup>, METER Group Inc., WA, USA). Zero air modified to 65 % RH was delivered at 3.6 L min<sup>−1</sup> to the chamber headspace where the soil was contained. The soil started the drying process from a VWC of approximately 25 % with the flows held constant for around 4 d or until the VWC reached 15 %. The chamber was sealed to conduct the drying cycle while our modified <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer and the Picarro G2509 measured fluxes. Unamended soil samples  fertilized with urea (<inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), ammonium carbonate (AC, <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and ammonium bicarbonate (ABC, <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) at mass surface densities of 100 kg N ha<sup>−1</sup> were assessed. A similar experiment was conducted with ammonium nitrate (<inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) at the same fertilizer mass surface density using only the modified <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer. These fertilizer application values are at the upper end of those used in North American and European agriculture at present. Soil VWC and headspace RH were recorded using auxiliary sensors within the chamber.</p>
</sec>
<sec id="Ch1.S2.SS5.SSS2">
  <label>2.5.2</label><title>Field deployment of automated dynamic <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> chambers</title>
      <p id="d2e3621">The RC and MC setup was deployed to make automated <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> flux  measurements from the same agricultural field as in the prior section. The observations took place in early September 2022 at the end of a soybean (<italic>Glycine max</italic>) cropping season. A detailed description of the campaign and its results is the subject of a separate work, so we only provide a brief overview here. The total measurement period was approximately two weeks in duration to test system performance. Generally, conditions were hot and dry, without precipitation, and the soybeans surrounding the observed soils were undergoing senescence during the measurement period. The chambers were deployed only on the soil, between crop rows, and operated to quantify fluxes as outlined in Sect. S7. After an initial 7 d period of observing baseline fluxes from the field, an experimental perturbation was conducted to stimulate <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions through the addition of an aqueous urea solution equivalent to 22 kg N ha<sup>−1</sup> of fertilizer added by broadcast application, followed by washing into the soil by an equivalency of 2.5 cm (1<sup>′′</sup>) of rain depth. The modified <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer and the Picarro G2509 were used to measure the <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and GHG fluxes continuously.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Soil flux determination</title>
      <p id="d2e3705">The flux of a gas is the rate at which it is transferred across an interface (e.g., soil to atmosphere) per unit area per unit time. Gas fluxes are of high interest in agriculture as they give insight into the uptake or emission of N-bearing gases that may alter fertilizing effects. They are also important for assessing the state of plants or soils at interfaces through metrics like primary productivity, in which case measurement of a GHG like <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> provides the insight (Anthony and Silver, 2024; Li et al., 2016; Okiti et al., 2025). The RC captures environmental fluctuations such as temperature or pressure change and directly observes the interactions of ambient gases with surfaces within the sampling setup (i.e. chambers, gas transfer lines, valves, and analyzers), as well as tracking reactions, allowing for corrections to every net flux (<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) measurement cycle (Eq. 6 for reactive gases and Eq. 7 for non-reactive gases, as derived in Sect. S7).

            <disp-formula id="Ch1.E12" content-type="numbered"><label>6</label><mml:math id="M251" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo mathsize="2.5em">(</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>V</mml:mi><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mi>c</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mi>c</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>V</mml:mi><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mi>R</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mi>R</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo mathsize="2.5em">)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M252" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is the volume of the chamber (m<sup>3</sup>), <inline-formula><mml:math id="M254" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the surface area (m<sup>2</sup>) enclosed by the chamber and governing the gas flux; <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the volumetric flow rate of air exiting the chamber (m<sup>3</sup> s<sup>−1</sup>); <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are target gas concentrations within the MC and RC (mol m<sup>−3</sup>), respectively; <inline-formula><mml:math id="M262" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="M263" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula> represent their corresponding rates of change (mol m<sup>−3</sup> s<sup>−1</sup>); and <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the resulting net gas flux per unit area (mol m<sup>−2</sup> s<sup>−1</sup>). The terms <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denote the instantaneous chemical production or loss rate expressed in units of mol m<sup>−3</sup> s<sup>−1</sup> for consistency. The dimensionless attenuation factor <inline-formula><mml:math id="M273" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is required to correct for interactions of reactive gases with surfaces. Such surface interactions, which are particularly strong for gases like <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, significantly reduce the measured rate of concentration change within the closed chamber (Fig. 4). Thus, <inline-formula><mml:math id="M275" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is derived as the ratio between a theoretical unattenuated gas (i.e. an inert GHG like <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) and the observed target gas concentration from controlled deliveries. These are then integrated over the chamber closure interval (Sect. S7). This term has the surface effects from chambers, gas transfer lines, and analyzers embedded by definition and must be determined empirically for any configuration. The attenuation correction reduces bias and improves the accuracy of flux estimates.

            <disp-formula id="Ch1.E13" content-type="numbered"><label>7</label><mml:math id="M277" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>R</mml:mi><mml:mo>⋅</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>⋅</mml:mo><mml:mo mathsize="2.5em">(</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>V</mml:mi><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mi>X</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mi>X</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo mathsize="2.5em">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          For inert gases (Eq. 7), the fluxes can be based on mixing ratios, where <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the volumetric mixing ratios (mol <inline-formula><mml:math id="M280" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> per mol air), <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the air pressure (Pa), <inline-formula><mml:math id="M282" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the absolute temperature (K), and <inline-formula><mml:math id="M283" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the universal gas constant (J mol<sup>1</sup> K<sup>1</sup>). By comparing the RC and MC observations, the effects of specific environmental conditions on <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. 6) or GHG (Eq. 7) exchange fluxes can be isolated, while accounting for surface effects and chemical transformations in the former.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Determining time constants of reactive nitrogen and GHGs</title>
      <p id="d2e4661">The time constants of both filling and emptying the chambers were calculated using concentrations normalized to their initial values, for each <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gas and GHG. These were used to quantify gas transfer times through the chambers and to confirm performance relative to theory. Where departures were identified, we quantified the extent of surface interactions for the various target analytes so corrections for determining in situ fluxes could be implemented (Table 1, Fig. 2).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e4678">Summary of time responses for addition and removal of GHGs and <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases at 2 L min<sup>−1</sup> in unmodified and modified chamber configurations. Time response for a theoretical fill or empty <inline-formula><mml:math id="M290" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding time is 36 min. Where analytes were observed to undergo surface interactions, a double exponential fit was used, with the first time constant representing the known gas exchange rate of 36 min, and the second time constant reported (<sup>*</sup>) alongside an assessment of the magnitude of surface interactions through the <inline-formula><mml:math id="M292" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> value (%; Sect. S3) (Crilley et al., 2023; Ellis et al., 2010; Moravek et al., 2019). Variability shown is one standard deviation of the mean from replicate experiments (<inline-formula><mml:math id="M293" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M294" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Gas species</oasis:entry>

         <oasis:entry colname="col2">Direction</oasis:entry>

         <oasis:entry colname="col3">Unmodified</oasis:entry>

         <oasis:entry colname="col4">Modified</oasis:entry>

         <oasis:entry colname="col5">Improvement</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M295" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">(min)</oasis:entry>

         <oasis:entry colname="col4">(min)</oasis:entry>

         <oasis:entry colname="col5">(min)</oasis:entry>

         <oasis:entry colname="col6">(%)</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">NO</oasis:entry>

         <oasis:entry colname="col2">Fill</oasis:entry>

         <oasis:entry colname="col3">38.8 <inline-formula><mml:math id="M296" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>

         <oasis:entry colname="col4">37.8 <inline-formula><mml:math id="M297" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>

         <oasis:entry colname="col5">1.0 <inline-formula><mml:math id="M298" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>

         <oasis:entry colname="col6">–</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">Empty</oasis:entry>

         <oasis:entry colname="col3">37.9 <inline-formula><mml:math id="M299" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.5</oasis:entry>

         <oasis:entry colname="col4">36.0 <inline-formula><mml:math id="M300" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>

         <oasis:entry colname="col5">1.9 <inline-formula><mml:math id="M301" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.1</oasis:entry>

         <oasis:entry colname="col6">–</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1"><inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col2">Fill<sup>*</sup></oasis:entry>

         <oasis:entry colname="col3">18.9 <inline-formula><mml:math id="M304" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>

         <oasis:entry colname="col4">18.0 <inline-formula><mml:math id="M305" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.1</oasis:entry>

         <oasis:entry colname="col5">0.9 <inline-formula><mml:math id="M306" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.2</oasis:entry>

         <oasis:entry colname="col6">94 <inline-formula><mml:math id="M307" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">Empty<sup>*</sup></oasis:entry>

         <oasis:entry colname="col3">21.2 <inline-formula><mml:math id="M309" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>

         <oasis:entry colname="col4">20.4 <inline-formula><mml:math id="M310" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4</oasis:entry>

         <oasis:entry colname="col5">0.8 <inline-formula><mml:math id="M311" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.9</oasis:entry>

         <oasis:entry colname="col6">78 <inline-formula><mml:math id="M312" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">HONO</oasis:entry>

         <oasis:entry colname="col2">Fill<sup>*</sup></oasis:entry>

         <oasis:entry colname="col3">21.9 <inline-formula><mml:math id="M314" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1</oasis:entry>

         <oasis:entry colname="col4">19.3 <inline-formula><mml:math id="M315" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>

         <oasis:entry colname="col5">2.6 <inline-formula><mml:math id="M316" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6</oasis:entry>

         <oasis:entry colname="col6">74 <inline-formula><mml:math id="M317" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">Empty<sup>*</sup></oasis:entry>

         <oasis:entry colname="col3">23.2 <inline-formula><mml:math id="M319" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4</oasis:entry>

         <oasis:entry colname="col4">21.2 <inline-formula><mml:math id="M320" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9</oasis:entry>

         <oasis:entry colname="col5">2.0 <inline-formula><mml:math id="M321" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7</oasis:entry>

         <oasis:entry colname="col6">71 <inline-formula><mml:math id="M322" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1"><inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col2">Fill<sup>*</sup></oasis:entry>

         <oasis:entry colname="col3">69.6 <inline-formula><mml:math id="M325" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4</oasis:entry>

         <oasis:entry colname="col4">68.2 <inline-formula><mml:math id="M326" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5</oasis:entry>

         <oasis:entry colname="col5">1.4 <inline-formula><mml:math id="M327" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>

         <oasis:entry colname="col6">89 <inline-formula><mml:math id="M328" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">Empty<sup>*</sup></oasis:entry>

         <oasis:entry colname="col3">76.9 <inline-formula><mml:math id="M330" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8</oasis:entry>

         <oasis:entry colname="col4">75.0 <inline-formula><mml:math id="M331" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.6</oasis:entry>

         <oasis:entry colname="col5">1.9 <inline-formula><mml:math id="M332" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.7</oasis:entry>

         <oasis:entry colname="col6">23 <inline-formula><mml:math id="M333" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1"><inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col2">Fill</oasis:entry>

         <oasis:entry colname="col3">37.9 <inline-formula><mml:math id="M335" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.5</oasis:entry>

         <oasis:entry colname="col4">37.0 <inline-formula><mml:math id="M336" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.8</oasis:entry>

         <oasis:entry colname="col5">0.9 <inline-formula><mml:math id="M337" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.3</oasis:entry>

         <oasis:entry colname="col6">–</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">Empty</oasis:entry>

         <oasis:entry colname="col3">38.0 <inline-formula><mml:math id="M338" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.8</oasis:entry>

         <oasis:entry colname="col4">37.0 <inline-formula><mml:math id="M339" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>

         <oasis:entry colname="col5">1.0 <inline-formula><mml:math id="M340" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.2</oasis:entry>

         <oasis:entry colname="col6">–</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1"><inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col2">Fill</oasis:entry>

         <oasis:entry colname="col3">37.9 <inline-formula><mml:math id="M342" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1</oasis:entry>

         <oasis:entry colname="col4">36.8 <inline-formula><mml:math id="M343" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>

         <oasis:entry colname="col5">1.1 <inline-formula><mml:math id="M344" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6</oasis:entry>

         <oasis:entry colname="col6">–</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">Empty</oasis:entry>

         <oasis:entry colname="col3">39.1 <inline-formula><mml:math id="M345" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7</oasis:entry>

         <oasis:entry colname="col4">37.2 <inline-formula><mml:math id="M346" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>

         <oasis:entry colname="col5">1.9 <inline-formula><mml:math id="M347" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.1</oasis:entry>

         <oasis:entry colname="col6">–</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1"><inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col2">Fill</oasis:entry>

         <oasis:entry colname="col3">38.6 <inline-formula><mml:math id="M349" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.1</oasis:entry>

         <oasis:entry colname="col4">36.7 <inline-formula><mml:math id="M350" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>

         <oasis:entry colname="col5">1.9 <inline-formula><mml:math id="M351" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.4</oasis:entry>

         <oasis:entry colname="col6">–</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">Empty</oasis:entry>

         <oasis:entry colname="col3">39.7 <inline-formula><mml:math id="M352" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3</oasis:entry>

         <oasis:entry colname="col4">37.7 <inline-formula><mml:math id="M353" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6</oasis:entry>

         <oasis:entry colname="col5">2.0 <inline-formula><mml:math id="M354" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.1</oasis:entry>

         <oasis:entry colname="col6">–</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>


<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Time constants of greenhouse gases (GHGs)</title>
      <p id="d2e5536">Determination of the GHG time constants benchmarks the chamber performance before and after modifications. In both configurations <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> were anticipated to behave as non-reactive trace gases with little to no physical interactions on chamber surfaces.</p>
      <p id="d2e5574">The theoretical fill and empty rates for the chambers with a flow rate of 2 L min<sup>−1</sup> are 36 min. The average measured time constants of filling for <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the unmodified chamber were 37 <inline-formula><mml:math id="M362" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1, 37 <inline-formula><mml:math id="M363" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2, and 37 <inline-formula><mml:math id="M364" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 min, respectively (Table 1). During emptying, they were 37 <inline-formula><mml:math id="M365" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1, 37 <inline-formula><mml:math id="M366" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1, and 38 <inline-formula><mml:math id="M367" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 min, respectively. These measurements are not different from theory within the limits of experimental accuracy (Fig. 2). Since the GHGs are effectively transferred through both the modified and unmodified configurations of the chamber, the baseline performance of the chambers was not affected by the hardware modifications. Therefore, comparison with the time constants of <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases provides a description of their interaction or transformation processes on the modified chamber surfaces.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Time constants of reactive nitrogen gases</title>
      <p id="d2e5686">In the modified chamber, the time constant of filling or emptying with NO was 38 <inline-formula><mml:math id="M369" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 min. The obtained value is similar to GHGs, as NO is not expected to have strong surface interactions. The slower time response of the <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HONO, and <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements results from two processes: (1) the exchange of the sample air volume in the gas transfer lines and the chamber, and (2) the adsorption and desorption of the gas onto and from their surfaces (Whitehead et al., 2008). Increases in the extent of surface interactions followed the increasing polarity, reactivity, and/or ionizability of gases in the order of <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, then HONO, and most for <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 2).</p>
      <p id="d2e5740">For example, <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is lost more readily than NO, possibly through its known reaction on surfaces to make HONO and HN<inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, being lost itself in the process (Finlayson-Pitts et al., 2003). It also has higher water solubility than NO, but lower than for HONO or <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Similarly, a decrease in transmission efficiency for HONO could be explained by its weakly acidic nature (pKa of 3.16) (Finlayson-Pitts et al., 2003) and solubility in water (Henry's law constant of 0.48 mol m<sup>−3</sup> Pa<sup>−1</sup>; Schwartz and White, 1981) that facilitate partitioning and dissociation in surface water films, which could generate non-volatile nitrite (<inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) on chamber surfaces. This chemistry will slow the transfer of gas-phase HONO through the chambers, as the <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> would need to protonate before being lost as neutral HONO when repartitioning to the gas phase (Reactions R4, R5). Finally, <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has the most delayed transmission, likely because it undergoes strong inter-molecule interactions and ionization on the chamber surfaces and/or with any interfacial water (Henry's law constant of 5.9 <inline-formula><mml:math id="M382" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−1</sup> mol m<sup>−3</sup> Pa<sup>−1</sup>, pKa of 9.25, Lide, 2009). The same interactions on tubing surfaces and potential partitioning into the tubing material may also occur before reaching the analyzer (Pagonis et al., 2017). The best improvement between the modified and unmodified configurations was 2.6 <inline-formula><mml:math id="M386" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.5 min for HONO, with smaller improvements observed for <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the filling process. Improved time constants when emptying <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the chambers had similar trends (Table 1). As a result, increasing delays from NO through <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exist in our <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gas suite due to increasingly stronger interactions with chamber surfaces and gas handling lines.</p>
      <p id="d2e5945">The determined surface interaction values (<inline-formula><mml:math id="M392" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>; Table 1; Eq. S2, Sect. S3) demonstrate the expected greater impact of surfaces when no reactive gas is present in the headspace prior to filling, and a lesser effect during emptying as the exposed surface has equilibrated with the analyte, which is commonly referred to as passivation. For <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> specifically, the fill has a <inline-formula><mml:math id="M394" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> value of 89 %, while during emptying it is only 23 %, similar to our findings with <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transfer for other <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> instruments (Crilley et al., 2023). The surface interactions for these gases are minimized in the modified chambers to facilitate more time-efficient measurements of surface exchange. However, they necessitate the use of the <inline-formula><mml:math id="M397" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> term when deployed in the MC-RC configuration for those <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species which experience partial transmission, such as <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The <inline-formula><mml:math id="M400" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> term is required to obtain accurate values, as the enclosed flux measurement surface should be perturbed for the least amount of time possible when making field measurements, and the chambers cannot be closed for several hours to allow surface-active gases to passivate the lines. One potential option to improve the system performance further for <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> could be to heat the gas transfer lines between the chambers and gas analyzers. In addition, minimizing the potential for transformations reduces the frequency required for in-field characterization of these processes through positive and negative gas delivery controls. For <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, specifically, we sought to quantify this as a function of modifying components of our chambers, as <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the most reactive gas in our suite (Sect. S5).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Multiplexer modification impacts on gas transfer</title>
      <p id="d2e6075">The multiplexer (eosMX; Eosense Inc.) allows operation of up to twelve dynamic chambers simultaneously with a suite of gas analyzers. However, it is constructed with stainless steel (SS) valves and fittings that would be expected to facilitate strong interactions and/or losses of target gases in the <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyte suite. Valves and fittings made of SS have a higher tendency to chemically interact and/or adsorb reactive gases compared to fluoropolymer replacements. To address this uncertainty, the gas transfer efficiency as a percentage loss in the multiplexer versus a bypass line was evaluated specifically for <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, alongside standard GHGs as they passed through fittings and gas handling solenoid valves made of SS or PFA and PTFE replacement parts.</p>
      <p id="d2e6111">The loss fractions were modest and measurable when using minimal lengths of PFA tubing (<inline-formula><mml:math id="M407" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 50 cm) instead of the standard 15 m gas transfer lines. The most substantial loss was observed on SS, as expected due to its known tendencies (Vaittinen et al., 2014). When the GHGs were delivered for 30 min, typical of a chamber closure period in the field, their losses ranged from 10 % for <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> to 19 % for <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Meanwhile, <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exhibited 17 % loss on the SS surfaces, and the greatest effect was seen for <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with a loss of 38 % (Fig. S6). In contrast, losses on the chemically inert and hydrophobic surface of the PFA fittings and PTFE valve were negligible (<inline-formula><mml:math id="M412" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 1 %) for most gases, except for <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which still exhibited a measurable loss of 11 %. Other reports have also shown up to 15 % loss of <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at atmospheric pressure on PTFE and PFA surfaces (Ellis et al., 2010; Shah et al., 2006; Vaittinen et al., 2014). While it is expected that the SS would eventually passivate and improve the transmission of the GHGs in a standard recirculation approach, this is not likely to be the case for destructively analyzed <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and even more so if it facilitates a chemical transformation. Replacing the multiplexer SS valves and fittings with PFA fittings and PTFE valves provided a 9 %–27 % reduction in surface losses of <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> compounds and GHGs. We strongly recommend the use of PTFE and/or PFA materials over SS for more accurate measurement of <inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species when interfacing the dual chamber setup with the destructive <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzers needed for field flux measurements, whether using a custom setup or the commercially available multiplexer.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Minimizing NO<sub>2</sub> losses and determining controlling variables</title>
      <p id="d2e6262">In addition to the rate of transfer of <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases, chamber modifications are necessary to prevent reactive losses. These experiments determined the magnitude of <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lost to chamber and gas transfer tubing surfaces due to chemical and/or physical transformations, and demonstrate the effectiveness of the chamber modifications in minimizing these losses. For <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, a probable chemical transformation pathway is its heterogeneous conversion to HONO (Reaction R3), which is favourable under atmospherically relevant humidities, and the resulting water-adsorbed surfaces are expected to exist throughout the chamber and sampling lines.</p>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Chamber modification impacts on NO<sub>2</sub> losses</title>
      <p id="d2e6315">Substantial reduction in <inline-formula><mml:math id="M424" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss fraction (<inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and transformation was observed from the implemented PFA and PTFE modifications under conditions of 83 % RH and 5 ppb of <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. In the original unmodified configuration of the chamber, <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was 0.36 <inline-formula><mml:math id="M428" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02 (Fig. S7) which was reduced to 0.22 <inline-formula><mml:math id="M429" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03 with the PFA film, a relative decrease of 18 %. This is consistent with the acrylic chamber surfaces and fasteners to the chamber frame facilitating physical and/or chemical loss of <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e6396">The film of PFA, as with other fluoropolymers, is known to have excellent chemical resistance and low reactivity towards a range of chemicals, including <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Scheirs, 2005). In addition, the superhydrophobic nature of these materials reduces the accumulation of water on surfaces, which can reduce the surface reaction of <inline-formula><mml:math id="M432" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Finlayson-Pitts et al., 2003; Jenkin et al., 1988; Stutz et al., 2004) and analytical bias in the measurement of trace gases like HONO, especially when instrument gas sampling inlets do not take this into account (Crilley et al., 2019; von der Heyden et al., 2022).</p>
      <p id="d2e6421">The replacement of the brass-lined push-to-connect bulkhead fittings with PTFE led to a similar decrease in <inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, which was reduced by 17 % to a final value of less than 0.05 <inline-formula><mml:math id="M434" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02 (Fig. S7). These fitting surfaces act as the largest surface-driven <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss despite their surface area being very small compared to that of the entire chamber configuration and with a very small contact time against the gas sample (0.012 s per fitting at a flow rate of 2 L min<sup>−1</sup>).</p>
      <p id="d2e6470">The loss of <inline-formula><mml:math id="M437" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the commercially available system is challenging to attribute solely to the heterogeneous hydrolysis reaction. During the characterization experiments, the conditions inside the chamber were matched to those reported by previous lab studies, which have shown that high RH, presence of <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and surface adsorbed water on surfaces favour this loss mechanism (Jenkin et al., 1988; Stutz et al., 2004). The reaction is known to occur on surfaces such as Pyrex (Jenkin et al., 1988) and borosilicate glass (Finlayson-Pitts et al., 2003), but no prior studies to date, nor this study, have demonstrated metallic surfaces as facilitating this mechanism.</p>
      <p id="d2e6495">The inert PTFE fittings dramatically minimized transformations, while PFA film lining the inner chamber surfaces was also effective, but less so. Our results indicate that water-adsorbed and metallic surfaces, such as brass, facilitate substantial loss and/or transformations of <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Further investigation is required to confirm the mechanism(s) at play and is beyond the scope of this work.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>RH-facilitated NO<sub>2</sub> loss as a function of concentration</title>
      <p id="d2e6527">A complete characterization of <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and the amount of HONO in the fully modified chamber was determined across a range of environmentally relevant RHs and <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. We found that the absolute and fractional <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> losses were highest under the highest RH conditions (85 %; Table 2). However, the <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> does not appear to follow a concentration-dependent trend across the additions made at lower RHs, with at most 0.4 ppbv <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lost across the remainder of the tests, a value which is equivalent to the LOD of the <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer used. This would generate 0.2 ppbv of HONO according to the disproportionation of the hydrolysis mechanism, which is well below the analyzer detection limits. The modifications successfully reduced <inline-formula><mml:math id="M447" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> losses below 10 % across all environmentally relevant conditions the chambers are expected to encounter, with our findings here suggesting that the mass lost is nearly constant and independent of <inline-formula><mml:math id="M448" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio at RHs below 85 %, while being marginally higher at and above this value.</p>

<table-wrap id="T2"><label>Table 2</label><caption><p id="d2e6630">Characterization of <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lost in the modified chamber across environmentally relevant ranges of <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and RH. The loss fraction (<inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and HONO produced in the chamber were quantified. Variability (<inline-formula><mml:math id="M452" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula>) provided is one standard deviation of the mean from replicate experiments (<inline-formula><mml:math id="M453" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M454" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">RH</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M458" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> added</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M459" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lost</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">HONO</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(%)</oasis:entry>
         <oasis:entry colname="col2">(ppbv)</oasis:entry>
         <oasis:entry colname="col3">(ppbv)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">produced</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(ppbv)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">85</oasis:entry>
         <oasis:entry colname="col2">5.0</oasis:entry>
         <oasis:entry colname="col3">0.50 <inline-formula><mml:math id="M461" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
         <oasis:entry colname="col4">0.10 <inline-formula><mml:math id="M462" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">85</oasis:entry>
         <oasis:entry colname="col2">7.0</oasis:entry>
         <oasis:entry colname="col3">0.70 <inline-formula><mml:math id="M463" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>
         <oasis:entry colname="col4">0.10 <inline-formula><mml:math id="M464" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">85</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">0.50 <inline-formula><mml:math id="M465" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07</oasis:entry>
         <oasis:entry colname="col4">0.05 <inline-formula><mml:math id="M466" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">65</oasis:entry>
         <oasis:entry colname="col2">5.0</oasis:entry>
         <oasis:entry colname="col3">0.30 <inline-formula><mml:math id="M467" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10</oasis:entry>
         <oasis:entry colname="col4">0.06 <inline-formula><mml:math id="M468" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">65</oasis:entry>
         <oasis:entry colname="col2">7.0</oasis:entry>
         <oasis:entry colname="col3">0.40 <inline-formula><mml:math id="M469" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09</oasis:entry>
         <oasis:entry colname="col4">0.06 <inline-formula><mml:math id="M470" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M471" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1.1<sup>*</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">65</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">0.30 <inline-formula><mml:math id="M473" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08</oasis:entry>
         <oasis:entry colname="col4">0.03 <inline-formula><mml:math id="M474" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">45</oasis:entry>
         <oasis:entry colname="col2">5.0</oasis:entry>
         <oasis:entry colname="col3">0.30 <inline-formula><mml:math id="M475" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05</oasis:entry>
         <oasis:entry colname="col4">0.05 <inline-formula><mml:math id="M476" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">45</oasis:entry>
         <oasis:entry colname="col2">7.0</oasis:entry>
         <oasis:entry colname="col3">0.40 <inline-formula><mml:math id="M477" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>
         <oasis:entry colname="col4">0.06 <inline-formula><mml:math id="M478" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.00</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">45</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">0.30 <inline-formula><mml:math id="M479" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08</oasis:entry>
         <oasis:entry colname="col4">0.03 <inline-formula><mml:math id="M480" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e6692"><sup>*</sup> Below instrument detection limit of 1.1 ppbv determined as <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M457" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3 while sampling zero air.</p></table-wrap-foot></table-wrap>

      <p id="d2e7121">Quantifying <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and the amount of HONO made in the chamber is required for the correction of field datasets. The dual chamber system, via the RC, can also quantify any changes in these processes over time if standard additions to the headspace are conducted. Consequently, important parameters such as <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> deposition fluxes on surfaces can be better estimated (Pape et al., 2009).</p>
      <p id="d2e7151">Since the inferred HONO mixing ratios from the chamber surfaces across various environmental RHs are nearly invariant at 0.2 <inline-formula><mml:math id="M483" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ppbv, it is simple to background correct any observational datasets by subtracting this amount from the total HONO measured in the chamber. In addition, as the <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values expected in most atmospheric gas samples during field measurements are well into the ppbv range (<inline-formula><mml:math id="M485" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 3.3 ppbv per 30 min flux measurement for a 0.08 <inline-formula><mml:math id="M486" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> emission), the corrections would be easy to implement in post-processing of datasets and have minimal impact on the technical aspects of the analytical determinations.</p>
      <p id="d2e7210">It should be noted that the amount of HONO in the chamber was below the LOD of the <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer for HONO (1.1 ppbv), meaning that the upper limit of HONO inferred may perhaps, in fact, be negligible. Therefore, future experiments that wish to detect small <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes accurately will need to focus on reproducing these experiments with a higher performance instrument, such as a time-of-flight chemical ionization mass spectrometer (ToF-MS) or long-path absorption photometer (LOPAP), which have lower detection limits (Crilley et al., 2019; Lee et al., 2014; Neuman et al., 2016; Reed et al., 2016).</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>Loss of O<sub>3</sub> with and without fluoropolymer modifications</title>
      <p id="d2e7254">Ozone loss was observed in both modified and unmodified chamber configurations, with 18 % lost to clean 15 m PFA lines alone when transferring 30 ppbv. The unmodified chambers lost 45 % across delivered mixing ratios spanning 150–250 ppbv. This was reduced to 35 % when the fluoropolymer modifications were implemented. When the PFA film was aged by 15 d of ambient sampling and 2 years of exposure to lab air, the losses were substantially exacerbated, reaching 80 %. Such outcomes are expected and can be attributed to several factors discussed in detail in Sect. S5, primarily involving surface reactions with built-up films of deposited organics, adsorption, and material interactions (Burkholder et al., 2015; Ebnesajjad, 2017; George et al., 2015; Plake et al., 2015b). We recommend regular replacement of the PFA film as part of the <inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> system maintenance, coupled with quality control procedures to characterize material performance for target gases.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Proof-of-concept reactive nitrogen fluxes using soil samples in the lab</title>
      <p id="d2e7277">Proof-of-concept flux measurements were performed using the modified dynamic chamber system to demonstrate that emissions of <inline-formula><mml:math id="M491" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases from agricultural soil samples can be measured under controlled conditions, similar to many prior reports using custom-built soil chambers (Almand-Hunter et al., 2015; Pape et al., 2009; Tang et al., 2019, 2020).</p>
<sec id="Ch1.S3.SS4.SSS1">
  <label>3.4.1</label><title>Fluxes of NO, NO<sub>2</sub>, and HONO from agricultural soil samples</title>
      <p id="d2e7308">Emission fluxes were measured from two pooled and two individual soil samples collected from a single agricultural field (Table 3; Sect. S6). The average and integrated fluxes of <inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, NO, <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and HONO were assessed under controlled, environmentally realistic (65 % RH), drying conditions (Table 3).</p>
      <p id="d2e7346">As the soils dried, NO and <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions increased, with NO fluxes highest across all replicates and reaching up to 2.50 <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This trend is consistent with the prior work of other researchers, showing peak NO emission potentials when VWC drops below 25 % during soil drying, which is when microbial nitrification and denitrification processes are suggested to become more active (Bao et al., 2022; Oswald et al., 2013). The soil VWC at which these maxima occur can vary depending on soil type, texture, and microbial diversity therein (Ludwig et al., 2001; Schindlbacher et al., 2009). Plot-level replicates from our field had a higher integrated NO flux (i.e., <inline-formula><mml:math id="M498" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2600 <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), compared to the pooled replicates (<inline-formula><mml:math id="M500" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 1000 <inline-formula><mml:math id="M501" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), likely indicating real differences in preserved microbial hotspots, intact plot-level soil aggregates, true spatial variability, and plot-specific N availability (Table 3). Soil texture and aggregate size, for example, play an important role in building the porous structure of soil, which has implications for the release of gases (Mangalassery et al., 2013). Soil aggregates, therefore, govern the release of gaseous <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analytes like NO based on the aerobic or anaerobic state of the soil. Here, our low level of soil manipulation (i.e. not ground, no sieving) will drive some of the variability by preserving these features, which exist across and within real soil systems (Lipiec et al., 2007). Individual plot samples also retain plot-specific microbial communities when working with intact soil, whereas soil grinding can temporarily inhibit microbial activity. While we tried to minimize soil handling and processing extremes in these experiments, a measure of homogeneity was also pursued, and fully intact soil cores were not assessed.</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e7464">Average and integrated fluxes of NO, <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and HONO (in <inline-formula><mml:math id="M504" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M505" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively) from agricultural soil samples across two soil VWC ranges. Both the average and integrated fluxes were calculated over a constant period within the noted range of soil VWC. Values are reported as mean <inline-formula><mml:math id="M506" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard error.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Soil</oasis:entry>
         <oasis:entry colname="col2">Soil VWC Range</oasis:entry>
         <oasis:entry colname="col3">Duration</oasis:entry>
         <oasis:entry namest="col4" nameend="col6" colsep="1">Average Flux </oasis:entry>
         <oasis:entry namest="col7" nameend="col9">Integrated flux </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">sample</oasis:entry>
         <oasis:entry colname="col2">(%)</oasis:entry>
         <oasis:entry colname="col3">(h)</oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col6" colsep="1">(<inline-formula><mml:math id="M507" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry rowsep="1" namest="col7" nameend="col9">(<inline-formula><mml:math id="M508" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">NO</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M509" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">HONO</oasis:entry>
         <oasis:entry colname="col7">NO</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M510" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">HONO</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Pooled R1</oasis:entry>
         <oasis:entry colname="col2">16–22</oasis:entry>
         <oasis:entry colname="col3">125</oasis:entry>
         <oasis:entry colname="col4">1.0 <inline-formula><mml:math id="M511" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>
         <oasis:entry colname="col5">0.05 <inline-formula><mml:math id="M512" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col6">0.06 <inline-formula><mml:math id="M513" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col7">2400 <inline-formula><mml:math id="M514" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 120</oasis:entry>
         <oasis:entry colname="col8">160 <inline-formula><mml:math id="M515" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 50</oasis:entry>
         <oasis:entry colname="col9">190 <inline-formula><mml:math id="M516" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 50</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pooled R2</oasis:entry>
         <oasis:entry colname="col2">16–22</oasis:entry>
         <oasis:entry colname="col3">125</oasis:entry>
         <oasis:entry colname="col4">1.0 <inline-formula><mml:math id="M517" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>
         <oasis:entry colname="col5">0.20 <inline-formula><mml:math id="M518" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col6">0.05 <inline-formula><mml:math id="M519" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
         <oasis:entry colname="col7">2500 <inline-formula><mml:math id="M520" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 130</oasis:entry>
         <oasis:entry colname="col8">500 <inline-formula><mml:math id="M521" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 60</oasis:entry>
         <oasis:entry colname="col9">150 <inline-formula><mml:math id="M522" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 40</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Plot R1</oasis:entry>
         <oasis:entry colname="col2">22–27</oasis:entry>
         <oasis:entry colname="col3">65</oasis:entry>
         <oasis:entry colname="col4">1.2 <inline-formula><mml:math id="M523" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05</oasis:entry>
         <oasis:entry colname="col5">0.40 <inline-formula><mml:math id="M524" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry colname="col6">0.20 <inline-formula><mml:math id="M525" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col7">3400 <inline-formula><mml:math id="M526" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 150</oasis:entry>
         <oasis:entry colname="col8">1300 <inline-formula><mml:math id="M527" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 90</oasis:entry>
         <oasis:entry colname="col9">690 <inline-formula><mml:math id="M528" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 70</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Plot R2</oasis:entry>
         <oasis:entry colname="col2">22–27</oasis:entry>
         <oasis:entry colname="col3">65</oasis:entry>
         <oasis:entry colname="col4">1.0 <inline-formula><mml:math id="M529" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry colname="col5">0.50 <inline-formula><mml:math id="M530" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>
         <oasis:entry colname="col6">0.30 <inline-formula><mml:math id="M531" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col7">2600 <inline-formula><mml:math id="M532" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 100</oasis:entry>
         <oasis:entry colname="col8">1600 <inline-formula><mml:math id="M533" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 100</oasis:entry>
         <oasis:entry colname="col9">740 <inline-formula><mml:math id="M534" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 50</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e7997">Integrated <inline-formula><mml:math id="M535" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes showed the same trend, with more sample-to-sample variability. For example,  one pooled replicate (R2) produced over three times the emissions of (R1), despite both experiments being conducted across identical moisture content ranges (Table 3). Given the limited studies directly measuring <inline-formula><mml:math id="M536" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, such as Purchase et al. (2023), this variability is difficult to interpret and highlights the need for more assessments of its production pathways and controls, which our developed chambers show promise for.</p>
      <p id="d2e8022">The observed average HONO fluxes remained low across all of the samples, ranging from 0.05 to 0.25 <inline-formula><mml:math id="M537" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Table 3). These values are lower by more than an order of magnitude compared to those reported in other controlled laboratory studies, where HONO fluxes exceed 900 <inline-formula><mml:math id="M538" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Oswald et al., 2013; Su et al., 2011; Wang et al., 2021). These discrepancies are concerning, given recent emphasis from the scientific community on the atmospheric impacts of soil-derived HONO on air quality. Here, the results from our agricultural soil samples may reflect the differences in our methodology, such as the soil handling and preparation steps prior to and during experiments. Many prior reports prepare their samples in ways that strongly deviate from real-world conditions (e.g.  initial soil drying temperatures above those occurring under ambient conditions, extreme storage conditions, grinding, sieving, use of dry zero air to flush chambers). Further drivers of variability within the category of heavily altered soil samples from the literature include pH, <inline-formula><mml:math id="M539" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> availability, and <inline-formula><mml:math id="M540" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M541" display="inline"><mml:mrow class="chem"><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:math></inline-formula> content, all of which are known to influence biotic and abiotic HONO formation pathways (Wu et al., 2019).</p>
      <p id="d2e8126">Our HONO fluxes from the agricultural soil samples studied here are consistent with field observations under ambient conditions, where average emissions have been reported to largely remain below 7.2 <inline-formula><mml:math id="M542" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Tang et al., 2019; Xue et al., 2024). This does suggest that greater care in sample preparation, and likely also a widely agreed-upon standard procedure, is needed to study soil HONO emissions relevant to atmospheric models.</p>
      <p id="d2e8160">The integrated HONO fluxes for the pooled replicates yielded 185 and 146 <inline-formula><mml:math id="M543" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively. From the individual sample replicates, which were slightly wetter than the pooled, the integrated HONO fluxes were 690 and 739 <inline-formula><mml:math id="M544" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which was unexpected. The drier soils would have been expected to yield greater integrated HONO emissions (Oswald et al., 2013), yet this was not the case. Additional replicates and experimental controls, while beyond the scope of this study, would allow further attribution of the controls over the observed HONO variability.</p>
      <p id="d2e8207">These findings demonstrate the utility of the modified custom-built dynamic chambers for accurately capturing <inline-formula><mml:math id="M545" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes under controlled laboratory settings, but they also highlight the need for more such systems to be implemented across the scientific community to better consider both biogeochemical soil properties and environmental context when interpreting the impacts of <inline-formula><mml:math id="M546" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes obtained in the lab and scaling them to real soils. There seems to be potential for skewing the atmospheric impacts as a result, in particular for HONO, as the standard approaches have been designed to replicate NO fluxes (Behrendt et al., 2014). Most global models do not consider the effect of soil HONO on air quality through <inline-formula><mml:math id="M547" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production and oxidation chemistry. Several modelling studies, like Ha et al. (2023) and Tian et al. (2024), have incorporated the order of magnitude or higher HONO fluxes reported from lab studies, like those by Su et al. (2011), Wang et al. (2021), Oswald et al. (2013), and Meusel et al. (2018). They estimated significant HONO production with maximum flux potentials of 830, 95, 70, and 55 <inline-formula><mml:math id="M548" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively. In contrast, the field observations that do exist suggest that real HONO fluxes are much smaller at 2–17.5 <inline-formula><mml:math id="M549" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Song et al., 2023; Tang et al., 2019). Similarly, Wu et al. (2022) have used the regional WRF-Chem model to explore the impact of soil HONO emissions on the concentrations of atmospheric HONO, OH, and <inline-formula><mml:math id="M550" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e8317">Agricultural soil HONO emissions have been suggested to significantly contribute to OH radical production, accounting for approximately 10 % to 60 % of total OH formation in rural areas before noon (Oswald et al., 2013; Su et al., 2011), which often exceed the contributions from <inline-formula><mml:math id="M551" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> photolysis. Additionally, high HONO emissions from agricultural soils have been reported to increase local <inline-formula><mml:math id="M552" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations by <inline-formula><mml:math id="M553" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.5–1.0 ppb in low-<inline-formula><mml:math id="M554" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> rural environments where VOCs are not limiting (Zhang et al., 2021), with even greater impacts suggested during fertilization periods (Wu et al., 2022). Modelling studies, using GEOS-Chem and CMAQ, for example, claim that incorporating soil HONO emissions improves the agreement between observed and simulated <inline-formula><mml:math id="M555" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels, particularly during the morning (Zhang et al., 2021).</p>
      <p id="d2e8372">Only a few studies have conducted estimates of soil <inline-formula><mml:math id="M556" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions under reasonable conditions, like Bao et al. (2022) and Wu et al. (2022), where the researchers tried to mimic field conditions. Even in such an area that has been long studied, large uncertainty still exists around soil sources of <inline-formula><mml:math id="M557" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, particularly for agricultural activities, where uncertainty is still at least <inline-formula><mml:math id="M558" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> % due to limitations in lab characterizations and field experiments (Gong et al., 2025). It is not surprising, then, that a similar issue exists for the very recent work on HONO soil emissions. The <inline-formula><mml:math id="M559" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> uncertainty range results from intricate soil biogeochemical processes and varies with crop types, soil texture, fertilizer types and application rate (Gong et al., 2025). This longstanding and established difficulty in predicting soil <inline-formula><mml:math id="M560" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for use in global chemical models means that doing so for HONO without careful ground truthing of real-world emissions could lead to substantial inflation of the impacts on atmospheric chemistry and air quality. Care should be taken in using HONO emissions from lab studies in global models, as it seems they pose a risk of overestimating their atmospheric impacts until a more representative experimental design can be obtained with chamber systems like the one used here.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <label>3.4.2</label><title>Fluxes of N<sub>r</sub> from fertilized agricultural soil samples</title>
      <p id="d2e8447">Agricultural soils amended with chemical fertilizers are expected to be hotspots for <inline-formula><mml:math id="M562" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M563" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, HONO, and <inline-formula><mml:math id="M564" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions. Here, we demonstrate the use of our developed chambers to measure these analytes under controlled lab conditions using our lightly processed pooled soil samples and four fertilizers: urea, ammonium nitrate (AN), ammonium bicarbonate (ABC), and ammonium carbonate (AC) with the temperature maintained at 23 °C, VWC between 25 % and 29 %, and headspace RH held at 65 % for three days, simulating realistic atmospheric and environmental <inline-formula><mml:math id="M565" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> flux exchange conditions following farm field fertilization (Fig. 3). In all experiments conducted with the Picarro G2509, the mixing ratio of <inline-formula><mml:math id="M566" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> began to rise approximately 4 h after the experiment started. In the example shown for urea, it peaked at 0.79 ppm after 12 h, which was followed by a gradual decline (Fig. 3a). This pattern likely reflects the incubation period of nitrifying and denitrifying bacteria that leads to the subsequent release of gases like HONO, as depicted in Wang et al. (2021), and <inline-formula><mml:math id="M567" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in Liu et al. (2022). In contrast, the mixing ratio of NO remained relatively constant throughout the three days (Fig. 3b), with <inline-formula><mml:math id="M568" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increasing as the <inline-formula><mml:math id="M569" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions decreased (Fig. 3c). In this example experiment, no measurable emissions of HONO were detected despite the substantial presence of urea and evidence of active microbial nitrification and denitrification from the other emitted gases (Fig. 3d). Lastly, the urea application example in Fig. 3e shows the expected significant <inline-formula><mml:math id="M570" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, with the integrated amount reaching 22 % of the applied N over the 3 d incubation period. These findings are consistent with our existing knowledge that <inline-formula><mml:math id="M571" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> volatilization as an N loss mechanism dominates early <inline-formula><mml:math id="M572" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> losses from fertilizers.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e8582">Soil emissions of the comprehensive <inline-formula><mml:math id="M573" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> suite from soil treated with urea, including <bold>(a)</bold> <inline-formula><mml:math id="M574" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>; <bold>(b)</bold> NO; <bold>(c)</bold> <inline-formula><mml:math id="M575" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; <bold>(d)</bold> HONO; and <bold>(e)</bold> <inline-formula><mml:math id="M576" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The NO, <inline-formula><mml:math id="M577" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HONO emissions were measured at 1 min resolution and averaged to 30 min. The standard deviation (<inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) around these averages is shaded around the main trace. Similarly, the 2 s resolution of <inline-formula><mml:math id="M579" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M580" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements were also averaged to 30 min intervals with <inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> provided in shading.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/2379/2026/amt-19-2379-2026-f03.png"/>

          </fig>

      <p id="d2e8713">Volatilization of <inline-formula><mml:math id="M582" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is well-characterized as a major pathway for N loss from fertilizers (Behera et al., 2013; Govoni Brondi et al., 2024; Liu et al., 2020; Moravek et al., 2019; Pan et al., 2016, 2022; Paulot et al., 2014). Besides agronomic concerns due to N loss and reduced fertilizer efficiency related to <inline-formula><mml:math id="M583" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from fertilized soil (Anas et al., 2020), it is a key precursor to secondary inorganic aerosols in the atmosphere with impacts on respiratory and ecosystem health, visibility, and climate (Dennis et al., 2010; Edwards et al., 2024; Fowler et al., 2013; González Ortiz et al., 2020; Jang et al., 2025; Seinfeld and Pandis, 2006).</p>
      <p id="d2e8739">Emissions of <inline-formula><mml:math id="M584" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M585" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> were observed to be far greater in terms of integrated amounts from the fertilized samples (Fig. 4). Integrated flux for <inline-formula><mml:math id="M586" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced by soil treated with ABC accounted for 77 % of total <inline-formula><mml:math id="M587" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> flux (i.e., 85 900 <inline-formula><mml:math id="M588" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), followed by AC, which was 63 700 <inline-formula><mml:math id="M589" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This is not surprising, since the use of chemical fertilizers increases the concentration of <inline-formula><mml:math id="M590" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in the soil that can deprotonate to emit neutral <inline-formula><mml:math id="M591" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and, in the presence of ammonia-oxidizing microorganisms, increase the production of <inline-formula><mml:math id="M592" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Luo et al., 2025). Nitrous oxide released from the addition of urea accounted for the highest integrated flux of 32 400 <inline-formula><mml:math id="M593" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> observed, representing 89 % of total <inline-formula><mml:math id="M594" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> released, followed by 25 300 and 9600 <inline-formula><mml:math id="M595" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for ABC and AC, respectively. One way that has been proposed to reduce these large <inline-formula><mml:math id="M596" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions from inorganic fertilizers is to change the application form to organic fertilizer, as the <inline-formula><mml:math id="M597" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in soil is produced more slowly (Luo et al., 2025). Due to a limited duration of access to the G2509 to conduct this work, we were unable to measure the <inline-formula><mml:math id="M598" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M599" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emitted from unamended soils or those treated with AN. Regardless, based on the obtained data, the values found here are similar to those observed under real environmental conditions (Fig. 4). For our sample without N amendment, the integrated flux of NO was the largest (2400 <inline-formula><mml:math id="M600" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; 87 % of total <inline-formula><mml:math id="M601" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), followed by comparable levels of <inline-formula><mml:math id="M602" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (160 <inline-formula><mml:math id="M603" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and HONO (190 <inline-formula><mml:math id="M604" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The fluxes of <inline-formula><mml:math id="M605" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and HONO were below 1 <inline-formula><mml:math id="M606" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for all the nutrient addition treatments, suggesting a similar trend as those observed under field conditions and from our lab results with unamended soils (Fig. 4, Table S1, Sect. S6). The exact mechanism behind the HONO release, being due to nitrification and/or denitrification, cannot be definitively assigned based on flux data alone, and many factors drive these emissions. There are discrepancies still observed between HONO flux measured from the treated soil samples in the laboratory and similar measurements in literature (Oswald et al., 2013; Su et al., 2011), some of which report fluxes of up to <inline-formula><mml:math id="M607" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3600 <inline-formula><mml:math id="M608" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and are likely overestimating the soil <inline-formula><mml:math id="M609" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes found in the real world. In contrast, our results are in close agreement with the field-based measurements of Tang et al. (2020), which also used a dynamic chamber flux method.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e9159">Relative flux contribution of soil treated with four different N-containing fertilizer salts. Each segment shows the proportion of integrated flux of NO (cyan), <inline-formula><mml:math id="M610" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (purple), HONO (blue), <inline-formula><mml:math id="M611" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (brown) and <inline-formula><mml:math id="M612" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (red), with discrete flux values presented in white text, and the total flux provided in black text above the column (<inline-formula><mml:math id="M613" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Some samples (denoted by <sup>*</sup>) were only characterized for fluxes of NO, <inline-formula><mml:math id="M615" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HONO using the modified <inline-formula><mml:math id="M616" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer, as the duration of our access to the G2509 for <inline-formula><mml:math id="M617" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M618" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> measurements was limited.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/2379/2026/amt-19-2379-2026-f04.png"/>

          </fig>

      <p id="d2e9281">These in-lab experiments show that simultaneous speciated <inline-formula><mml:math id="M619" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions directed towards mass balance analysis in a controlled environment can be conducted using a single chamber and potentially applied to an array of chambers, as others have done for a subset of gaseous <inline-formula><mml:math id="M620" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Scharko et al., 2015; Tang et al., 2019). With the limited replicates we explored here, our results raise a question for researchers who have been using lab studies as a standard to predict and incorporate HONO soil emission values, particularly for regional and global models.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS3">
  <label>3.4.3</label><title>Dual chamber field deployment for automated continuous dynamic fluxes</title>
      <p id="d2e9314">A pilot scale field campaign was carried out to demonstrate the application of our dual soil flux chambers in capturing <inline-formula><mml:math id="M621" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gas exchange processes. A paired MC-RC setup was deployed in the same field a year after the soil samples were collected for our lab experiments. During a period of stimulated <inline-formula><mml:math id="M622" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emission from an in situ experimental application of urea, the mixing ratios of NO, <inline-formula><mml:math id="M623" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M624" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were impacted compared to the unfertilized state. The changes within both the MC and RC were measured and used to calculate fluxes (Fig. 5). The purpose of Fig. 5 is methodological to demonstrate how rate, dilution, and reaction terms combine in the observed rates of concentration change during chamber cycles. The selected data for <inline-formula><mml:math id="M625" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> correspond to measurements taken after the fertilization event, while the selected NO and <inline-formula><mml:math id="M626" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> data segments are examples for separate observation times which best demonstrated the contributions of all terms before the fertilization event. Taken together, these three separate examples for the mathematical terms contributing to the net flux in Eqs. (6) and (7) can be considered more easily – they are entirely ascribed to the rate term otherwise. Each set of observations spans 3 consecutive hours of dynamic changes in gas concentrations within the chambers, which allow fluxes to be calculated. For the 0.5 Hz measurement rate of the Picarro, it is clear from the accumulation and depletion of target gases in Fig. 5 that a shorter observation period than 30 min could be used when high time resolution instrumentation across all target species is available. The benefit of this would be to reduce both the alteration of the composition of the chamber headspace and diverging physical conditions between the chamber and ambient environment, ultimately obtaining better flux estimates. However, for this pilot study, the 1 min time resolution of the <inline-formula><mml:math id="M627" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer and the method for determining HONO by difference with an annular denuder every 5 min required a 30 min interval. A shorter closure period could also have the drawback of worse flux detection limits when fluxes are small, and more variability due to a less robust regression of the accumulation or depletion rate. For example, this would increase the value of <inline-formula><mml:math id="M628" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> for <inline-formula><mml:math id="M629" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. S11; Sect. S7) and its relative error (4 % for a clean system, Sect. S7.3) as well as other surface-interacting gases.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e9419">Mixing ratios of <inline-formula><mml:math id="M630" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (ppb), NO (ppb), and <inline-formula><mml:math id="M631" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppb) in the MC (grey shading) and RC (unshaded) from three consecutive cycles during the pilot field study. Cycles are shown for representative, non-simultaneous periods to illustrate term contributions. The <inline-formula><mml:math id="M632" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cycles correspond to measurements taken after the fertilization perturbation, while the NO and <inline-formula><mml:math id="M633" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> cycles are earlier, before fertilization. The dashed lines for the NO measurements indicate <inline-formula><mml:math id="M634" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ppb (3<inline-formula><mml:math id="M635" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> noise), where the positive boundary represents the detection limit of the <inline-formula><mml:math id="M636" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/2379/2026/amt-19-2379-2026-f05.png"/>

          </fig>

      <p id="d2e9505">The breakdown of the flux components for <inline-formula><mml:math id="M637" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M638" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, and NO can allow the contributions of the experimental setup (e.g. dilution) and environmental factors (e.g. reaction) to be considered independently (Fig. 6). We consider these across a consecutive triplicate of flux determinations from the pilot field deployment, to provide meaningful examples. The uncertainty in each term is estimated from the variance between the triplicate of consecutive MC and RC observations, through the measured slopes (i.e. using Eq. 6 or 7) and assumes that ambient atmospheric composition did not change substantially during this error derivation period.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e9535">Contributions of different terms (rate, dilution, and reaction) to the net flux of NO, <inline-formula><mml:math id="M639" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M640" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> across three consecutive cycles (nmol m<sup>−2</sup> s<sup>−1</sup>). The rate represents the change in concentration measured over time, the dilution represents the integrated loss to dilution, and the reaction represents the contribution of known reactions happening inside the chamber. Error bars are calculated using the standard deviation about the mean of the corresponding terms from three consecutive chamber cycles. For visual clarity, the attenuation correction (<inline-formula><mml:math id="M643" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M644" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5.40) for <inline-formula><mml:math id="M645" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is not applied in this figure, as it constitutes a linear scaling factor across all <inline-formula><mml:math id="M646" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> bars (Sect. S7.3).</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/2379/2026/amt-19-2379-2026-f06.png"/>

          </fig>

      <p id="d2e9629">The rate term <inline-formula><mml:math id="M647" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the dominant contributor to the determined flux for all three gases (Fig. 6), which are all positive and indicate emissions despite their clearly differing temporal trends. Each contribution term is defined and discussed in further detail in Sect. S7. Accurate quantification of trace gas fluxes using dynamic chamber systems requires correction for attenuation caused by surface interactions. These effects can significantly suppress the measured accumulation rate of reactive species within the closed MC (Fig. 5). To account for this, the attenuation factor (<inline-formula><mml:math id="M648" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>) was introduced in this work (Eq. S14 in the Supplement), defined as the ratio of the theoretical concentration signal for an inert gas (e.g. as in our fill/empty experiments) to the measured signal over the chamber closure period. The value of <inline-formula><mml:math id="M649" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is gas-specific and time-dependent, reflecting wall affinity and kinetics. This correction reduces flux bias, independent of chamber-specific losses. The highest attenuation was observed for <inline-formula><mml:math id="M650" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, for which a <inline-formula><mml:math id="M651" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> of 5.40 was determined empirically for the 30 min closure period. Comparative values for <inline-formula><mml:math id="M652" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HONO are also provided in Sect. S7.3.</p>
      <p id="d2e9696">For <inline-formula><mml:math id="M653" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, the first cycle exhibits the highest flux (1.07 <inline-formula><mml:math id="M654" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12 nmol m<sup>−2</sup> s<sup>−1</sup>), while the second cycle showed uptake by the soil (<inline-formula><mml:math id="M657" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.18 <inline-formula><mml:math id="M658" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12 nmol m<sup>−2</sup> s<sup>−1</sup>), and the final cycle showed no net flux within error (0.08 <inline-formula><mml:math id="M661" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12 nmol m<sup>−2</sup> s<sup>−1</sup>). This occurs for a non-reactive greenhouse gas like <inline-formula><mml:math id="M664" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> despite the concentration decreasing with time for both the measurement and reference periods, as the rate of decrease during the measurement cycle is slower than that from dilution in the RC alone (Fig. 6). Across the three cycles, the rate of concentration change term contributed 84 <inline-formula><mml:math id="M665" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15 % to the measured flux in the first cycle, 109 <inline-formula><mml:math id="M666" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 98 % in the second cycle, and 50 <inline-formula><mml:math id="M667" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 171 % in the third cycle. The negative rate of concentration change in all of the observation periods arises due to the use of <inline-formula><mml:math id="M668" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>-free purge gas delivered to the chamber headspace, which is required for the gas sample to be destructively quantified, while not introducing ambient air into the chamber (Fig. 5). This simultaneously prevents sudden changes in local outdoor air composition from making small fluxes difficult to detect, as well as reduces the uncertainty in the fluxes assigned. Here, the dilution terms range from 8 % to 50 % of the net flux, as would be expected from the <inline-formula><mml:math id="M669" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> exchange switching from emission to deposition during the three-cycle example (i.e. 3 h). In the final measurement cycle, the rate of concentration change transitions from a loss to steady state during the observation period, suggesting that an instant of “hot spot, hot moment” emission of <inline-formula><mml:math id="M670" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> was likely occurring. As such, the transition leads to no net flux for the observation period, which is a limitation of our dual-chamber approach compared to one with recirculating headspace, or that of an EC approach that can capture higher temporal resolution changes in concentration. The <inline-formula><mml:math id="M671" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> fluxes observed here are consistent with those reported for European arable soils using both dynamic and static chambers, where event-driven <inline-formula><mml:math id="M672" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> peaks after fertilization commonly range between 0.2 and 2.4 nmol m<sup>−2</sup> s<sup>−1</sup>, and background periods can be as low as 0.08 nmol m<sup>−2</sup> s<sup>−1</sup> (Kong et al., 2025; Murphy et al., 2022; Maier et al., 2022; Manco et al., 2025). Field-scale EC studies, such as Maier et al. (2022), have captured post-harvest pulses up to 1.6 nmol m<sup>−2</sup> s<sup>−1</sup>, highlighting the capacity of EC to resolve large, rapid emission events that single-point chamber systems may miss. However, dynamic chamber systems provide high-precision, temporally resolved flux data under controlled conditions, enabling direct attribution of emissions to specific soil management or environmental factors (Butterbach-Bahl et al., 2013; Kong et al., 2025). This makes dynamic chambers, like those demonstrated here, especially valuable for mechanistic and process-level studies.</p>
      <p id="d2e9987">For NO, the only gas we consider in the examples here with a reaction term, the reaction contribution is the smallest among the three flux components. Over all three cycles, the reaction term opposed the net flux by less than 13 %. The magnitude of the reaction term is always negligible, remaining within the <inline-formula><mml:math id="M679" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> nmol m<sup>−2</sup> s<sup>−1</sup> variability caused by background correction from the RC. Instead, the time rate of change in concentration term drove 74 %–81 % of the total flux for all three cycles and dilution accounted for the remaining 30 %–33 %. The reaction term falling within the uncertainty range of no contribution in all three cycles (e.g. <inline-formula><mml:math id="M682" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01 <inline-formula><mml:math id="M683" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 nmol m<sup>−2</sup> s<sup>−1</sup> in the second cycle, where it had the greatest potential), indicates that its contribution is less certain than the other flux components as it is driven by the presence of <inline-formula><mml:math id="M686" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which is rapidly lost upon chamber closure. Overall, the low contribution of the reaction term suggests this process has a minor role in measured NO fluxes. In other, more polluted regions, such as the North China Plain and the Pearl River Delta, where summertime ambient <inline-formula><mml:math id="M687" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations range from 60 to 275 ppbv, the exceedances above 200 ppbv during pollution episodes (Wang et al., 2017) could make this term very important. As noted above, the PFA film on the chamber surface will change its properties with respect to <inline-formula><mml:math id="M688" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transmission over time, highlighting the utility of the RC in tracking this because it is designed to accumulate or lose the same atmospheric compounds as the MC on all sampling surfaces.</p>
      <p id="d2e10096">The resulting emission fluxes of NO observed in these three cycles were 0.056–0.078 nmol m<sup>−2</sup> s<sup>−1</sup>, which are well within the range reported for agricultural soils in North America and Europe, such as Taylor et al. (1999) who observed <inline-formula><mml:math id="M691" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07 to 4.2 nmol m<sup>−2</sup> s<sup>−1</sup> in Canadian fertilized cropland, and Pape et al. (2009) and Almand-Hunter et al. (2015) who reported values of 0.05–4.0 nmol m<sup>−2</sup> s<sup>−1</sup>, using dynamic chambers in grass and cropland soils. Therefore, in the case of NO for this example, the variability in the fluxes is largely driven by real fluctuations in the rate term. This highlights the sensitivity of the total flux to changes in the rate of concentration change, and the precision of the method, as the uncertainty in the final fluxes here is on the order of 14 %. Compared to the dynamic chambers reported by these prior studies, the RC in our dual-chamber system offers a clear advantage by directly correcting for baseline fluctuations and environmental drift that can confound single-chamber approaches. This is especially important for reactive gases such as NO, which are susceptible to rapid loss to <inline-formula><mml:math id="M696" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and short-term background variability (Taylor et al., 1999). In comparison to EC or flux-gradient techniques, which integrate over larger areas but may underestimate true NO fluxes due to post-emission chemistry (Taylor et al., 1999; Plake et al., 2015b), our approach yields high-frequency, process-resolving data ideal for mechanistic and plot-scale studies.</p>
      <p id="d2e10190">For <inline-formula><mml:math id="M697" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the rate of change term dominates the total flux, contributing 103 <inline-formula><mml:math id="M698" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10 %, 97 <inline-formula><mml:math id="M699" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 16 %, and 101 <inline-formula><mml:math id="M700" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17 % of the flux in cycles one, two, and three, respectively, while the dilution term contributes inconsequentially at <inline-formula><mml:math id="M701" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 <inline-formula><mml:math id="M702" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7 %, 3 <inline-formula><mml:math id="M703" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12 %, and <inline-formula><mml:math id="M704" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 <inline-formula><mml:math id="M705" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12 % in the same three cycles, respectively. The resulting emission fluxes of <inline-formula><mml:math id="M706" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observed across these cycles ranged from 0.43 <inline-formula><mml:math id="M707" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03 nmol m<sup>−2</sup> s<sup>−1</sup> in cycle one down to 0.25 <inline-formula><mml:math id="M710" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03 nmol m<sup>−2</sup> s<sup>−1</sup> in cycle three. The relatively small contribution of the dilution term is consistent with the expectation that the RC and MC exhibit similar dilution effects. The relative uncertainty in the final <inline-formula><mml:math id="M713" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes is 7 % for cycle one, and 12 % for cycles two and three. By comparison, relative uncertainties were 14 % for NO and ranged from 15 % to 171 % for <inline-formula><mml:math id="M714" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, reflecting the greater variability and lower precision associated with the smaller flux magnitudes for those gases.</p>
      <p id="d2e10361">Our observed <inline-formula><mml:math id="M715" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes (0.25–0.43 nmol m<sup>−2</sup> s<sup>−1</sup>) are consistent with literature values for managed grass and croplands. For instance, Milford et al. (2009) reported bi-directional background fluxes from <inline-formula><mml:math id="M718" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.8 to 2.5 nmol m<sup>−2</sup> s<sup>−1</sup> before cutting intensively managed grassland, with larger diurnal emissions up to 42 nmol m<sup>−2</sup> s<sup>−1</sup> after cutting and maxima up to 224 nmol m<sup>−2</sup> s<sup>−1</sup> following fertilizer application. Abdulwahab et al. (2025) observed highly variable fluxes in intensively grazed French grassland, ranging from <inline-formula><mml:math id="M725" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.6 to 188 nmol m<sup>−2</sup> s<sup>−1</sup>, with short-lived maxima above 300 nmol m<sup>−2</sup> s<sup>−1</sup> after slurry application, though most measurements were at much lower magnitudes. Notably, accurate quantification of <inline-formula><mml:math id="M730" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes in this system critically depends on the application of the chamber-specific attenuation factor <inline-formula><mml:math id="M731" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> (Sect. S7.3; Fig. S11). Without this correction, true <inline-formula><mml:math id="M732" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes would be underestimated by more than fivefold. While the RC correction plays a role in the flux calculations, its impact on <inline-formula><mml:math id="M733" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is less pronounced than on <inline-formula><mml:math id="M734" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, where the correction significantly alters the net flux direction (Fig. 5; first cycle). Chamber-based approaches such as ours provide a key advantage for <inline-formula><mml:math id="M735" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over micrometeorological methods like EC, which are especially prone to high-frequency attenuation and chemical interferences for reactive gases. As shown in Moravek et al. (2019), even state-of-the-art closed-path EC systems may recover less than half (as little as 46 %) of true <inline-formula><mml:math id="M736" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes due to instrument limitations and turbulence losses. Challenges were also evident for REA, where Xu et al. (2011) found that turbulence and surface effects complicated flux interpretation in cropland. Related methodological considerations have also been noted in other contexts. Schlossberg et al. (2017) highlighted how airflow and canopy structure can influence chamber <inline-formula><mml:math id="M737" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes in turf systems, underscoring the need for chamber methods that minimize such artifacts. In contrast, our dynamic chamber system, with a chamber-specific <inline-formula><mml:math id="M738" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> correction and RC, enables robust, bias-corrected quantification of both low and episodic <inline-formula><mml:math id="M739" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, as well as clear partitioning of emission and dilution terms, even under highly variable field conditions.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e10651">In this work, we presented a dynamic chamber system for <inline-formula><mml:math id="M740" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> flux measurements, developed for the first time through the modification of commercially available chambers by implementing two key changes: the use of PTFE fittings instead of original brass fittings and the installation of an inert PFA film, which retains their actinic transparency. These modifications provide a targeted methodology for other researchers to convert commercially available chambers into those capable of measuring <inline-formula><mml:math id="M741" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The performance of these modifications was quantified through the rise and fall time constants of target gas concentrations, as well as a reduction in reactive losses. The time constants for the transfer of GHGs were not different from those of a theoretically inert gas and showed no change from the modifications. Improved transmission for the reactive and surface-active <inline-formula><mml:math id="M742" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species <inline-formula><mml:math id="M743" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HONO, and <inline-formula><mml:math id="M744" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> targeted here ranged from 0.8 to 2.6 min. Further improvement for <inline-formula><mml:math id="M745" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> might be obtained by integration of heated gas transfer lines between the chambers and gas analyzers. Similarly, a commercial chamber multiplexing unit with stainless steel valves and fittings replaced with PTFE and PFA, respectively, resulted in a 9 %–27 % reduction in surface losses of <inline-formula><mml:math id="M746" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> compounds.</p>
      <p id="d2e10732">Only <inline-formula><mml:math id="M747" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> showed reactive loss in the system, and the loss fraction in the chambers in their unmodified configurations was up to <inline-formula><mml:math id="M748" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 36 %. Losses were reduced to the gas analyzer detection limits (<inline-formula><mml:math id="M749" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 10 %) with the same fluoropolymer modifications when atmospherically relevant <inline-formula><mml:math id="M750" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and RH mixtures were introduced. Loss of <inline-formula><mml:math id="M751" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was pervasive within chambers in both their modified and unmodified configurations at 35 % and 45 % respectively, demonstrating the necessity of the RC. It allows characterization of deposited surface film reactivity for <inline-formula><mml:math id="M752" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which is needed to account for the conversion of NO to <inline-formula><mml:math id="M753" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during a sampling period. The modified commercial system is capable of measuring dynamic soil fluxes of GHGs and <inline-formula><mml:math id="M754" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> when MC and RC are deployed simultaneously.</p>
      <p id="d2e10816">Proof of concept flux measurements were conducted using real agricultural soil samples in the lab, with a single chamber, and during a pilot study in the field with a MC-RC pair. The lab soil emissions were found to be consistent with prior field reports in the literature for NO and HONO, with unexpected emissions of <inline-formula><mml:math id="M755" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> also observed. Substantial variability in <inline-formula><mml:math id="M756" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HONO emissions between replicates demonstrates the potential heterogeneity of soil emissions that may result from samples kept intact and subject to minimal preparation conditions. Upon the addition of typical fertilizers, like urea, substantial <inline-formula><mml:math id="M757" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M758" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions fluxes matched expectations, with increasing quantities of NO, <inline-formula><mml:math id="M759" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and HONO as the soil water content decreased.</p>
      <p id="d2e10876">Last, fully automated operation of the chambers was carried out in a field pilot study with the delivery of external fertilizer conducted at the midpoint of the 2-week period to stimulate <inline-formula><mml:math id="M760" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions, mainly in the form of <inline-formula><mml:math id="M761" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Continuous flux observations were made by switching sample flows between the RC and MC with a custom-built valve system to obtain continuous <inline-formula><mml:math id="M762" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes. While the details of the entire campaign will be presented in a future manuscript, it was shown here how the developed measurement technique yields reliable flux determinations by accounting for known reactions and our lab-derived surface effects. The mathematical foundation of each term and its error in a mass balance equation, which are central to reducing flux bias, are fully described.</p>
      <p id="d2e10913">The duration of the chamber closure for the modified <inline-formula><mml:math id="M763" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer used in this work made a 30 min observation necessary to obtain sufficient measurements for a reliable flux determination. Use of higher time resolution gas analyzers can readily reduce the observation period and continue to produce reliable fluxes, depending on the flux detection limit desired, and tolerance for inflated surface effects. One key limitation of the dynamic chamber approach is the limited surface footprint covered when it is notoriously known to be heterogeneous, and where EC and REA flux approaches are less susceptible to this effect. Using a multiplexer and a larger array of dynamic chambers, it is possible to reduce the susceptibility of the dynamic chambers to this issue. Similarly, the actinic transparency of the acrylic lid blocks UV photons, potentially limiting photochemical mechanisms of production for HONO. If paired with EC or REA, these chambers could be capable of quantifying the magnitude of these mechanisms for the first time. One further limitation is that the chamber and gas transfer line surfaces may accumulate material and change the mass transfer of gases, particularly <inline-formula><mml:math id="M764" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, over time. This effect can be monitored using the reference chamber if sufficient quantities are present in the ambient air, via the dilution decay rate and characterized in situ by a standard addition of the necessary gases to the headspace.</p>
      <p id="d2e10938">Through our modifications and validation, this work provides insight into how commercial dynamic chamber options, like those offered by Eosense, can be modified easily for scientists from various disciplines interested in studying <inline-formula><mml:math id="M765" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exchange at atmospheric interfaces. This is particularly important for research groups which currently do not have the expertise and resources to develop their own <inline-formula><mml:math id="M766" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> flux measurement systems. The modified system utilizes destructive sampling techniques, as opposed to the re-circulation of chamber air, enabling integration of the dynamic chamber approach with various standard gas analysis instruments (e.g., <inline-formula><mml:math id="M767" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> chemiluminescence) to study their exchange. The large footprint allows gas concentrations to change in easily determined quantities even for very small fluxes. We show here, for the first time, that such a system can provide simultaneous measurement of NO, <inline-formula><mml:math id="M768" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HONO, <inline-formula><mml:math id="M769" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M770" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M771" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M772" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M773" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> fluxes. In addition, we show fully automated operation of the chambers, switching of sample flows, and data collection workflows for continuous and unattended measurements of fluxes at field sites. Ideally, modern instrumentation like the ToF-CIMS would be coupled with this system to shorten the chamber closure duration and better distinguish HONO from other <inline-formula><mml:math id="M774" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, instead of using a modified <inline-formula><mml:math id="M775" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer. Given the pressing need to understand global perturbations to the biogeochemical cycle of N, reduce nitrogen use in agriculture, and gauge the impacts of N status on biodiversity or ecosystem function, wider accessibility of <inline-formula><mml:math id="M776" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> flux techniques for the global research community is needed to increase the pace of research outcomes and improve the capacity for interdisciplinary work between atmospheric and earth system researchers.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e11084">Data is available upon request from the corresponding author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e11087">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-19-2379-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-19-2379-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e11096">TCV designed and oversaw the experiments, acquired funding, wrote parts of the manuscript, and guided writing and revision of all sections of the manuscript. MS wrote the manuscript and performed all the lab experiments. KZA carried out the multiplexer experiments, conducted data analysis for the fill-empty experiment, provided guidance and feedback on the derivation of the mass balance flux model, and assisted in the revision of the manuscript. DF conducted some of the field measurements, worked up the pilot field study results and derived the dual chamber mass balance flux calculations, and made contributions to the writing and revision of the manuscript. LRC helped design the experiments, modify the chambers, write the LabVIEW code, conduct the pilot field measurements, and contributed to manuscript preparation and revision. AM contributed to the initial chamber lab setup and revision of the manuscript. FS performed some fill-empty and <inline-formula><mml:math id="M777" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss experiments, designed the custom valve switching system, modified LabVIEW code for the pilot field measurements, and contributed to initial drafts of the manuscript. YEI and TH assisted with the GHG fill-empty experiments, YEI supported the pilot field study, and both contributed to manuscript revision. NN, CC, and SE provided technical support with setting up and modifying the chambers and multiplexer.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e11113">Trevor C. VandenBoer received supporting in-kind funds for this work from Eosense, Inc. and Picarro as it is mandatory in the NSERC Alliance Missions programme funding structure which facilitates research partnerships between the academy and industry. Nick Nickerson, Chance Creelman, and Sarah Ellis are employed by Eosense, Inc.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e11119">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="d2e11125">We gratefully acknowledge the support of Picarro for facilitating use of the G2509 analyzer during the chamber characterizations, lab experiments, and pilot study components of this work. The team at Shawnasey Farms Ltd. provided access to storage and machinery to install the experimental agricultural site for the pilot project, helped with daily campaign logistics, and the collection of soil samples.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e11130">All components of this work were supported by funding to TCV by the Natural Sciences and Engineering Research Council (NSERC) Alliance Missions program (ALLRP 570577-2021), with additional support from the NSERC Discovery Grants and Early Career Launch programmes (RGPIN-2020-06166 and DGECR-2020-00186). Moxy Shah and Yashar Ebrahimi-Iranpour were supported by Ontario Graduate Scholarships, and Moxy Shah was further supported by a Charles Hantho Award in Atmospheric Chemistry and the Enbridge Graduate Student Award.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e11136">This paper was edited by Daniela Famulari and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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