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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"><?xmltex \bartext{Research article}?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-19-165-2022</article-id><title-group><article-title>Versatile soil gas concentration and isotope monitoring: optimization and
integration of novel soil gas probes<?xmltex \hack{\break}?> with online trace gas detection</article-title><alt-title>Versatile soil gas concentration and isotope monitoring</alt-title>
      </title-group><?xmltex \runningtitle{Versatile soil gas concentration and isotope monitoring}?><?xmltex \runningauthor{J.~Gil-Loaiza et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Gil-Loaiza</surname><given-names>Juliana</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2610-3812</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Roscioli</surname><given-names>Joseph R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Shorter</surname><given-names>Joanne H.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4079-2191</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Volkmann</surname><given-names>Till H. M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ng</surname><given-names>Wei-Ren</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Krechmer</surname><given-names>Jordan E.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3642-0659</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff3">
          <name><surname>Meredith</surname><given-names>Laura K.</given-names></name>
          <email>laurameredith@email.arizona.edu</email>
        <ext-link>https://orcid.org/0000-0003-4244-4366</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of Natural Resources and the Environment, University of Arizona,
Tucson, AZ 85721, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Aerodyne Research Inc., Billerica, MA 01821, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Biosphere 2, University of Arizona, Oracle, AZ 85623, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Applied Intelligence, Accenture, 61476 Kronberg im Taunus, Hesse, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Laura K. Meredith (laurameredith@email.arizona.edu)</corresp></author-notes><pub-date><day>10</day><month>January</month><year>2022</year></pub-date>
      
      <volume>19</volume>
      <issue>1</issue>
      <fpage>165</fpage><lpage>185</lpage>
      <history>
        <date date-type="received"><day>10</day><month>November</month><year>2020</year></date>
           <date date-type="rev-request"><day>28</day><month>December</month><year>2020</year></date>
           <date date-type="rev-recd"><day>16</day><month>June</month><year>2021</year></date>
           <date date-type="accepted"><day>4</day><month>November</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Juliana Gil-Loaiza et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022.html">This article is available from https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e159">Gas concentrations and isotopic signatures can unveil microbial
metabolisms and their responses to environmental changes in soil. Currently,
few methods measure in situ soil trace gases such as the products of
nitrogen and carbon cycling or volatile organic compounds (VOCs) that
constrain microbial biochemical processes like nitrification,
methanogenesis, respiration, and microbial communication. Versatile trace
gas sampling systems that integrate soil probes with sensitive trace gas
analyzers could fill this gap with in situ soil gas measurements that
resolve spatial (centimeters) and temporal (minutes) patterns. We developed
a system that integrates new porous and hydrophobic sintered polytetrafluoroethylene (sPTFE) diffusive
soil gas probes that non-disruptively collect soil gas samples with a
transfer system to direct gas from multiple probes to one or more central
gas analyzer(s) such as laser and mass spectrometers. Here, we demonstrate
the feasibility and versatility of this automated multiprobe system for
soil gas measurements of isotopic ratios of nitrous oxide (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O,
<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N, and the <inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N site preference of N<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O), methane, carbon dioxide
(<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C), and VOCs. First, we used an inert silica matrix to challenge
probe measurements under controlled gas conditions. By changing and
controlling system flow parameters, including the probe flow rate, we
optimized recovery of representative soil gas samples while reducing
sampling artifacts on subsurface concentrations. Second, we used this system
to provide a real-time window into the impact of environmental manipulation
of irrigation and soil redox conditions on in situ N<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and VOC
concentrations. Moreover, to reveal the dynamics in the stable isotope
ratios of N<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (i.e., <inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O, <inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O, <inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O, and <inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O), we
developed a new high-precision laser spectrometer with a reduced sample
volume demand. Our integrated system – a tunable infrared laser direct absorption spectrometry (TILDAS) in parallel with Vocus proton transfer reaction mass spectrometry (PTR-MS), in line with sPTFE
soil gas probes – successfully quantified isotopic signatures for N<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, CO<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
and VOCs in real time as responses to changes in the dry–wetting cycle and redox
conditions.</p>

      <p id="d1e360">Broadening the collection of trace gases that can be monitored in the
subsurface is critical for monitoring biogeochemical cycles, ecosystem
health, and management practices at scales relevant to the soil system.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e372">The impact of the biosphere's soils on atmospheric composition is typically
measured at the soil surface, yet belowground approaches may provide a more
mechanistic perspective into trace gas cycling. Soil is a source and sink of
trace gases such as nitrous oxide (N<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O), carbon dioxide (CO<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), methane
(CH<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>), and volatile organic compounds (VOCs) that impact climate and air
quality. Soil fluxes are driven by<?pagebreak page166?> abiotic and biotic processes including
microbial metabolism and soil environmental conditions (Conrad,
2005; Karbin et al., 2015; Jiao et al., 2018) that vary in space (i.e., soil
aggregate, Schimel, 2018, to field, Wang et al.,
2014) and time (e.g., rain-driven emission pulses) (Jiao et al.,
2018). Environmental drivers such as soil moisture and oxygen availability
modulate rates of aerobic and anaerobic processes that influence gas cycling
including N<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions (Groffman et al., 2009) and VOC fluxes
(Raza et al., 2017; Abis et al., 2020). Yet, capturing how
belowground variations in soil structure (e.g., air-filled soil porosity)
and conditions (e.g., moisture, wetting frequency, redox state) impact gas
cycling remains challenging. While surface flux chambers remain a dominant,
integrative tool to constrain soil gas fluxes, new capabilities are needed
to unearth spatiotemporal variations in belowground processes.</p>
      <p id="d1e411">Soil gases serve as messengers of belowground biogeochemical processes and
microbial activity. Soil microbes produce trace gases via biochemical
pathways that impart characteristic isotopic signatures onto trace gases
that help identify and quantify gas processes (Yoshida and
Toyoda, 2000). For example, microbial pathways driving CH<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> production have
been identified from the ratio of rare <inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>CH<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> to the abundant <inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>CH<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> natural
isotopes (McCalley et al., 2014; Penger et al., 2012). Other
studies use isotopically enriched trace gases, such as <inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N N<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O to determine
consumption and production rates of N<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O in soil columns (Clough
et al., 2006). The ratio of <inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N to <inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N and the position of the <inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N
relative to the O in N<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (termed the <inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N site preference) depend on the N<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
production pathway (Yoshida and Toyoda, 2000; Sutka et al.,
2006), with the <inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N site preference reflecting only the microbial pathway
and not the substrate isotopic signature. Together, measurements of all three
isotopic properties of N<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N abundance, <inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N site preference, and <inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O
abundance) can identify the type of biochemical process generating the N<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
and the associated microbial groups (bacterial, archaeal, or fungal)
(Toyoda et al., 2017). VOCs are signals for diverse microbial
and chemical interactions in soils that are increasingly recognized as an
important part of the soil metabolome (Honeker et al., 2021).
VOCs are also involved in microbial and plant–microbe interactions such as
quorum sensing, and they may reflect soil health, stress responses, and
microbial identity (Insam and Seewald, 2010; Schulz-Bohm et al.,
2018). Inert tracers present or released in soil (e.g., helium; Laemmel et al., 2017) help distinguish physical from chemical mechanisms
affecting soil gas concentrations. Tracking microbial activity using trace
gas messengers can elevate the understanding of the role of microbial
communities and their metabolism in soil.</p>
      <p id="d1e597">Soil gas sampling approaches have evolved to recover gas samples with less
disruption to the soil environment. Early methods inserted rigid perforated
tubes or wells into the soil to withdraw gas by suction using a syringe
(Holter, 1990), pump (Maier et al., 2012), or
other manual methods (Panikov et al., 2007). This methodology
was time-consuming, created artifacts by driving advective flow that
transports gas from other regions, and disturbed the probe surroundings
(Maier et al., 2012). In contrast, diffusive probes sample soil
gases by non-advective gas exchange driven by molecular diffusion across a
porous membrane from soil gas- and aqueous-phase partitioning (Volkmann et al., 2016a, b). One drawback of diffusive sampling probes
has been their relatively large volume, which was used to generate
sufficient sample for gas analyzers but led to correspondingly long times
for the internal sampling volume to reach equilibration with soil gas. For
example, probes longer than 1 m have been used in water (Rothfuss et al., 2013) and soil (Jacinthe and Dick, 1996),
and small silicone probes require extended sampling return periods
(<inline-formula><mml:math id="M46" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 7–48 h) to equilibrate (Kammann et al.,
2001; Petersen, 2014). Long probes disturb soil, especially
upon installation, spurring the interest in discovering new materials that
enhance diffusion at a smaller probe size while still resolving gas
concentrations and isotopic signatures. Polypropylene (Accurel, V8/2HF,
Membrana GmbH, Germany) materials have improved the equilibrium time at an
equivalent probe length (Flechard et al., 2007; Gut et al.,
1998; Rothfuss et al., 2015); for example, Rothfuss et al. (2015) used 15 cm polypropylene (PP) tubing to measure water isotopes for 290 d. High-density materials
like expanded polytetrafluoroethylene (PTFE) and polyethylene equilibrate
faster than silicone (DeSutter et al., 2006), increasing the
temporal resolution from hours to minutes in different matrices including
for the analysis of water isotopes in soil (Volkmann and Weiler,
2014) and tree xylem (Volkmann et al., 2016a) and CO<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in soil
(DeSutter et al., 2006). The diffusive sampling approach is a
promising means for non-destructively recovering soil gas for analysis,
despite challenges in finding porous materials that equilibrate efficiently
with minimal probe length.</p>
      <p id="d1e616">Probes face multiple demands in the soil system during field deployment. For
long-term monitoring in the field, subsurface probes must be robust to
extreme weather, plant, and microbial activity and disruptions that could
affect the integrity of the porous membrane. While current materials recover
representative gas concentrations and isotopic signatures, their application
has been limited by cracking, water infiltration (Volkmann et
al., 2016a, b), and soil disruption during sampling (Hirsch
et al., 2004). Microbial interactions with probe materials can reduce probe
integrity, modify gas concentrations, or reduce gas exchange by biofouling
(Krämer and Conrad, 1993). Small soil particles can clog
pores and limit gas diffusion, and probes can break or crack in freeze–thaw
cycles (Burton and Beauchamp, 1994; Gut et al., 1998) or during
installation (Volkmann et al., 2016a, b). Probe membranes
must resist water breakthrough, which has caused water interference
problems in nylon (Burton and Beauchamp, 1994) and
polypropylene (Gut et al., 1998) probes. The limitations of
some probe materials have been evaluated under controlled conditions
(DeSutter et al., 2006; Munksgaard et al., 2011; Rothfuss et
al., 2013). To meet the<?pagebreak page167?> demands of long-term soil sampling, new
non-reactive and hydrophobic porous probe materials are needed.</p>
      <p id="d1e620">Diffusive soil gas probes can be integrated with online gas analyzers (e.g.,
for H<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, CO<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CH<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) to quantify soil gas concentrations and isotopic
signatures (Gangi et al., 2015; Gut et al., 1998; Rothfuss et
al., 2013; Volkmann et al., 2016b, 2018). Growing capabilities in trace gas
analysis can be leveraged to monitor additional tracers of subsurface
processes. For example, small molecules such as N<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, CH<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, NO, CO<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and CO
can be monitored using tunable infrared laser direct absorption spectrometry
(TILDAS), and VOCs are now routinely monitored by proton transfer reaction
time-of-flight mass spectrometry (PTR-TOF-MS). For each trace gas analyte
and corresponding analyzer, methods for soil gas sampling should be
optimized in ways that account for differences in molecular diffusivity
(exchange across probe) and surface interactions (partitioning to tubing). Sample transfer systems are used to multiplex gas analyzers with multiple soil probes for online measurements of multiple spatial points (Jochheim et
al., 2018; Volkmann and Weiler, 2014). Expanding the suite of gases that
can be sampled by diffusive soil probes will enhance the spatiotemporal
resolution of observable interactions between microbial activity and
biogeochemical processes in the environment and their interactive impact on
the atmosphere.</p>
      <p id="d1e678">In this study, we describe a real-time soil trace gas sampling system that
integrates diffusive soil probes with online gas analyzers (TILDAS and
PTR-TOF-MS) to capture fast, spatially resolved concentrations and isotopic
signatures of key soil gases and their responses to environmental changes.
We expect that a minimally disruptive, diffusive soil gas probe approach
would be capable of high-spatiotemporal-resolution measurements of soil
trace gases. To test this, we developed diffusive, hydrophobic soil probes
from sintered PTFE (sPTFE) and used controlled soil columns to evaluate
their ability to retrieve gas samples via continuous sampling. We optimized
the TILDAS sample cell volume, sample transfer schemes and flow rates, and
the instrument's concentration dependence. With the optimized system, we
then performed process studies in soil to determine whether the system could
unveil soil microbial metabolisms and their responses to environmental
changes. Soil wetting events are known to stimulate N<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emissions from soil,
and we performed an irrigation manipulation on the soil column and measured the
subsurface site-specific stable isotopes of N<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O in real time. We hypothesized
that soil wetting would induce a shift in N<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O production pathways that would
be detectable via the isotopic tracers. Moreover, recognizing the
sensitivity of biochemical transformations to redox conditions, we measured
multiple subsurface trace gases (N<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, CO<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, VOCs) after changing the redox
conditions in soil. We hypothesized that the dynamic response in subsurface
gas concentrations would not be uniform across compounds, reflecting
the sensitivity of (bio)chemical reactions to the soil redox state. Here, we present
the optimization and application of an online soil gas sampling approach
that is robust and flexible with transferability to a wide array of trace
gases that reflect microbial activity and biogeochemical cycles in soils.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Probes and probe evaluation system</title>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Sintered PTFE (sPTFE) probes</title>
      <p id="d1e748">We built gas-permeable soil probes from microporous tubes of sPTFE (Fig. 1a). sPTFE is hydrophobic and has uniform pore distribution, which improves
gas diffusion (Dhanumalayan and Joshi, 2018). The material is
structurally stable and non-reactive, properties that make this material a
good candidate as long-term soil gas probes. We selected four probes with
different pore sizes and dimensions (Table 1) to evaluate their
equilibration properties. Probes were machined (White Industries, Inc.,
Petaluma, CA, USA) from solid sPTFE blocks (Berghof GmbH, Eningen, Germany). We
constructed probe prototype assemblies to connect probes to inlet and outlet
transport lines of <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">8</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> fluorinated ethylene propylene (FEP;
Versilon™, Saint-Gobain, Malvern, PA, USA) using stainless-steel
reducing unions (Swagelok, Solon, OH, USA). In some cases, probes were assembled
from two pieces (Table 1) using perfluoroalkoxy (PFA) unions (Swagelok,
Solon, OH, USA). After assembly, probe assembly leak tightness at the fittings
was tested by submersion under water while flowing ultra zero air through
the probe.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e771">Gas probe and soil column assemblies: <bold>(a)</bold> microporous probe of
sPTFE, <bold>(b)</bold> dimensions of the two column sections of the custom soil column
assembly built to evaluate probe performance, and <bold>(c)</bold> probe and column
components for probe evaluation.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f01.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e792">sPTFE probe pore size and dimensions including outer diameter (o.d.),
inner diameter (i.d.), and wall thickness (<italic>W</italic>).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Probe i.d.</oasis:entry>
         <oasis:entry colname="col2">Dimensions (mm)</oasis:entry>
         <oasis:entry colname="col3">Length</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(pore size in <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col2">(o.d. <inline-formula><mml:math id="M62" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> i.d. <inline-formula><mml:math id="M63" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <italic>W</italic>)</oasis:entry>
         <oasis:entry colname="col3">(mm)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">P5 (5)</oasis:entry>
         <oasis:entry colname="col2">12.7 <inline-formula><mml:math id="M64" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 6.3 <inline-formula><mml:math id="M65" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.6</oasis:entry>
         <oasis:entry colname="col3">147.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">P8  (8)</oasis:entry>
         <oasis:entry colname="col2">12.7 <inline-formula><mml:math id="M66" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 6.3 <inline-formula><mml:math id="M67" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.6</oasis:entry>
         <oasis:entry colname="col3">147.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">P10 (10)</oasis:entry>
         <oasis:entry colname="col2">12.7 <inline-formula><mml:math id="M68" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 6.3 <inline-formula><mml:math id="M69" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.6</oasis:entry>
         <oasis:entry colname="col3">147.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">P25<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> (25)</oasis:entry>
         <oasis:entry colname="col2">9.5 <inline-formula><mml:math id="M71" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 4.7 <inline-formula><mml:math id="M72" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.4</oasis:entry>
         <oasis:entry colname="col3">147.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e798"><inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Two sPTFE pieces joined with a PFA fitting.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Soil columns</title>
      <p id="d1e996">We used soil columns to evaluate probe performance under controlled soil gas
in a non-reactive matrix (silica sand). Silica sand (Granusil 4095, high-purity industrial quartz; Covia Corporation, Emmett, ID, USA) was used as the
non-reactive matrix, which is a low-alkaline-oxide matrix with a
characterized particle size distribution (Table S1). We designed the column
to allow a gas of controlled composition (control gas) to be advectively
forced through the silica matrix from below (Fig. 1) to evaluate probe
performance (System 1 tests at<?pagebreak page168?> University of Arizona, UA, and System 2 tests
at Aerodyne Research Inc., ARI; Sect. 2.3.1). We also used the columns to
measure in situ gas dynamics in response to environmental manipulation
(e.g., wetting, redox state) in a complex matrix (soil) (System 2 tests at
ARI, Sect. 2.3.2).</p>
      <p id="d1e999">The lower column section (Fig. 1b) supported drainage and buffered delivery
of control gas, and the upper section contained the matrix (silica or soil),
with a headspace layer for uniform column outflow. Together, the two column
sections had a 20.3 cm inner diameter, 87.6 cm length (including base and
cover), and 28 L volume. The probe was positioned centrally in the upper
section to allow sufficient distance from column walls (10 cm) and the
soil–gas interface (15.2 cm) to avoid edge effects (Fig. 1c). The upper and
lower column sections were separated by a layer of perforated PVC (3.17 mm thickness, staggered
3.17 mm holes, 4.67 mm center to center, 40 % open area) and a type 304 stainless-steel wire
cloth mesh (325 <inline-formula><mml:math id="M73" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 325 mesh (44 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m), 0.051 mm opening size) to allow the
passage of control gas and drainage of water (sealed during sampling) while
retaining matrix integrity in the upper section. Column sections were joined
using schedule-80 PVC pipes, flanges, bolts, and rubber gasket seals,
allowing columns to be modular and easy to disassemble, transport, and
refill. Additionally, PTFE and polyetheretherketone (PEEK) bulkhead fittings
(IDEX Health and Science LLC., Oak Harbor, WA, USA) and washers provided
airtight and watertight connections for gas tubing. Soil sensors (e.g., moisture,
temperature) flanked the soil probes (Fig. 1c).</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Gas sampling system</title>
      <p id="d1e1025">The soil probe sampling system operated in a continuous-flow mode whereby
carrier gas (ultra zero air, UZA; Airgas Inc.) flowed through the soil probe
to equilibrate with soil gas (probe flow), the outflow was diluted
online (dilution flow), and the combined flow (total flow) was sent to the
gas analyzer for real-time measurement. The gas sampling system consisted of
a controlled soil gas transfer system, sampling probes, and a measurement
and data acquisition system that coordinated sampling in three gas columns
(Fig. 2). Nearly identical sampling systems were built at UA (System 1) and
Aerodyne (System 2) and differed in the specific TILDAS and gas control
components deployed at each location (Table 2). To prevent bulk gas
advection in the soil, it was critical to ensure that flows into and out of
the probe were matched such that the sum of the probe and dilution flows
were equal to the total flow at the instrument intake. This depended<?pagebreak page169?> on
precise flow control by digital mass flow controllers (MFCs; Alicat
Scientific, Tucson, AZ, USA). Dilution flow (Fig. 2) was important to reduce
risk of condensation, avoid exceeding the optimal detection range, and increase the
gas analyzer cell response time. The control gas system allowed us to
stipulate the specific mole fractions and relative isotope mixtures at the
column inlet. Two streams of UZA controlled by MFCs (probe and dilution)
were delivered in tandem through a stream selector <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mn mathvariant="normal">16</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> port valve (VICI –
Valco Instruments Co. Inc., Houston, TX, USA) with the total flow directed to the
analyzer (Fig. 2) by a separate multiport selector (VICI – Valco
Instruments Co. Inc., Houston, TX, USA). The custom control gas composition added
to soil columns was mixed from UZA and concentrated gas cylinders (e.g., 5 % CO<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>; Table 3). A bypass line was installed to independently verify the
control gas composition entering the column, while the column outflow line
was used to measure column headspace concentrations (Fig. 2). In System 1,
we used a custom LabVIEW (National Instruments, Austin, TX, USA) program to
execute scripts generated in MATLAB (2018; The MathWorks Inc., Natick,
MA, USA) for the timing and control of MFC gas flow rates and VICI valve
switching. The custom LabVIEW program was also used to query and log all the MFC parameters via USB multi-drop box (BB9 RS-232, Alicat Scientific, Tucson, AZ, USA) and all SDI-12 (serial digital interface at 1200 Bd) sensors with a SDI-12-to-RS-232 converter (Vegetronix, Inc., Riverton, UT, USA). In System 2, TDLWintel, the TILDAS measurement and data
acquisition program, controlled the multi-valves on a schedule for
continuous unattended operation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1051">Detailed schematic of sampling System 1 (UA) and System 2 (ARI).
Column matrix gas concentrations were controlled by mixing cylinder gas with
UZA using MFCs and delivering the custom gas mixture through the columns
from bottom to top (dotted orange line). Probe sampling flow rates were
controlled precisely using three MFCs to ensure that flow in and out of the
probe was balanced (probe flow (blue lines) <inline-formula><mml:math id="M77" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> dilution flow (red lines) is equal to total flow to analyzer (black lines)). Column headspace (atmospheric
pressure) and control gas bypass (positive pressure) were controlled by MFCs
at two points (dilution, total flow to analyzer), forcing the probe flow as
a makeup flow (probe flow is equal to total flow minus dilution flow).</p></caption>
            <?xmltex \igopts{width=503.61378pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f02.png"/>

          </fig>

      <p id="d1e1067">To evaluate the probe and the column performance, we corrected observed
concentrations (Cobs) using the ratio of the dilution and total flows to
obtain true probe sample, column/headspace, and control gas concentrations
(<inline-formula><mml:math id="M78" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula>). For example, for soil probe sample concentrations we used the ratio of
the total flow (<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, probe plus dilution flow) to the probe flow (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) as
shown in Eq. (1):
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M81" display="block"><mml:mrow><mml:mi>C</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Trace gas analyzers</title>
      <p id="d1e1139">We used a suite of trace gas analyzers relevant to biological soil gas
cycling (Fig. 2) to integrate with the soil probe sampling system. TILDAS
isotope analyzers measure the concentrations of individual isotopologues,
and isotopic ratios can be determined using Eq. (2):
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M82" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msup><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">reference</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> refers to the ratio of the rare isotopomer and <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msup><mml:mi>X</mml:mi></mml:mrow></mml:math></inline-formula> to its abundant
isotopomer (Toyoda et al., 2017).</p>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><?xmltex \opttitle{Coupled laser spectrometers for CO${}_{2}$ and H${}_{2}$O isotopes and OCS and CO}?><title>Coupled laser spectrometers for CO<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and H<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopes and OCS and CO</title>
      <p id="d1e1233">In System 1 we integrated two TILDAS trace gas analyzers (Aerodyne Research Inc., Billerica, MA, USA) with the soil probe system to evaluate the
feasibility of coupling with the sintered PTFE probes and evaluate
performance under controlled conditions. TILDAS-1 was a dual-laser
instrument configured for measurement of water isotopes at 3765 cm<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and
<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O, <inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O, <inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msup></mml:math></inline-formula>O, and <inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O at 2310 cm<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with an 18 m
absorption cell. TILDAS-2 was a compact “mini” single-laser instrument
configured to quantify carbonyl sulfide (OCS), carbon monoxide (CO), water
(H<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O), and CO<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at 2050.4–2051.3 cm<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with a 76 m absorption cell. The dual
and mini TILDAS analyzers had a 500  and 300 cm<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> sample cell volume,
respectively. The TILDAS platforms draw air samples through an absorption
cell at low pressure where laser light is transmitted in a multipass
configuration for long effective absorption pathlengths. The laser is
scanned at kilohertz rates over the rovibrational absorptions of the
molecule(s) of interest. Transient light absorptions were fit to known Voigt
profiles to determine molecular concentrations on the fly using Aerodyne's
proprietary acquisition and analysis software, TDLWintel. For this experiment, we connected the two TILDAS analyzers at a controlled flow rate
(500–250 sccm, MC-1SLPM-D, Alicat) in series, and cell pressure was
dynamically controlled to 40 Torr (PCS-EXTSEN-D-ISC/5P, Alicat) between the
two analyzer sample cells and vacuum pump (MPU 2134-N920-2.08, KNF Neuberger,
Trenton, NJ, USA). The TILDAS optical tables were each purged with 100 sccm zero
air.</p>
      <p id="d1e1410">In System 1, CO<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations varied linearly with controlled dilutions
of 10 % CO<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> tanks (Fig. S1, dual CO<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> cal), and absolute CO<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations
were calibrated with a linear curve. We calibrated the <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C CO<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from the
concentration-dependent relationship of <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C CO<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> vs. observed [CO<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>] (Fig. S2); specifically, we fit a Gaussian equation to the relationship between
(<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C CO<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> observed – <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C CO<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> true <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">39.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ vs. Vienna Pee Dee Belemnite (VPDB)) and CO<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration (accounting for standard deviation in <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CO<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> measurements).
We applied this CO<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-dependent correction to all reported <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CO<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> values.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><?xmltex \opttitle{Novel laser spectrometer for N${}_{2}$O and CH${}_{4}$ isotopomers}?><title>Novel laser spectrometer for N<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CH<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> isotopomers</title>
      <p id="d1e1638">System 2 integrated a second and nearly identical (Table 2) gas sampling
system with a novel dual TILDAS analyzer for isotopomers of methane (CH<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>)
and nitrous oxide (N<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) (Aerodyne Research Inc., Billerica, MA, USA) to
test instrument modifications that help integrate soil gas sampling probes
with laser spectrometry.</p>
      <?pagebreak page170?><p id="d1e1659">In this study, we identified and selected the best spectral region and laser
technology for continuous high-precision measurements of isotopomers of CH<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
(<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>CH<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>CH<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>), and N<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O (“446”), <inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O (“456”),
<inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O (“546”), and <inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O (“448”)). The regions near 2196 cm<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(4.56 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) and 1295 cm<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (7.72 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) provide interference-free
measurements of N<inline-formula><mml:math id="M151" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CH<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, respectively, and their rare isotopes. The 2196 cm<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> region is also capable of measuring CO<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at soil-relevant concentrations
(parts-per-thousand levels). The CH<inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O TILDAS system was optimized
with respect to optical alignment, laser operating parameters (i.e., scan
length, laser current, and temperature settings), and fit parameters. Short-term
(seconds) and long-term (minutes–hours) noise was determined by sampling
from a compressed air cylinder as a constant gas source, followed by
Allan–Werle variance analysis (Werle et al., 1993). We chose 30 Torr as the optimum cell pressure to minimize both noise and spectral
crosstalk between isotopomer absorptions. To reduce sample volume we
designed a new cell insert and a compact 76 m pathlength multipass sampling
cell. The novel volume-reducing insert for the 76 m cell has interior walls
that match the contour of the multipass pattern and was 3D-printed using
PA2200 nylon. After printing, the interior and exterior surfaces of the
insert were sealed with urushi lacquer – a stable, durable, inert lacquer
(McSharry et al., 2007). The turnover time of the cell volume
with insert was evaluated in continuous sampling mode.</p>
      <p id="d1e1925">The concentration dependence of isotope <inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> values derived from
infrared isotopic measurements is an analytical challenge that is instrument
dependent. To minimize the concentration dependence we followed two steps. (i) We used frequent
spectral backgrounds to minimize offsets (i.e., immediately prior to each
sample measurement). A sample spectrum is recorded with the instrument
sample cell filled with UZA. This spectrum is used to normalize sample
spectra, improving accuracy and sensitivity by accounting for changing
instrument conditions and possible drift. (ii) We identified best-fitting
parameters for each spectral region and application. During System 2
operation, we automated script schedules<?pagebreak page171?> using an external command language
(ECL) within TDLWintel that ran backgrounds, calibrations, and controlled
valves.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1939">Contrasting features between Systems 1 and 2.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Feature</oasis:entry>
         <oasis:entry colname="col2">System 1</oasis:entry>
         <oasis:entry colname="col3">System 2</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Objective</oasis:entry>
         <oasis:entry colname="col2">Feasibility of probe–TILDAS integration</oasis:entry>
         <oasis:entry colname="col3">Versatility of soil gas probe sampling</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Location</oasis:entry>
         <oasis:entry colname="col2">University of Arizona, Biosphere 2, Tucson, AZ, USA</oasis:entry>
         <oasis:entry colname="col3">Aerodyne Research Inc., Billerica, MA, USA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Analyzer 1</oasis:entry>
         <oasis:entry colname="col2">Dual-laser TILDAS analyzer for H<inline-formula><mml:math id="M158" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CO<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> isotopes</oasis:entry>
         <oasis:entry colname="col3">Novel dual-laser TILDAS analyzer for N<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">and CH<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> isotopes</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Analyzer 2</oasis:entry>
         <oasis:entry colname="col2">Mini TILDAS analyzer for OCS, CO, CO<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and H<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O</oasis:entry>
         <oasis:entry colname="col3">Vocus PTR-TOF-MS for VOCs</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Control gas (bulk)</oasis:entry>
         <oasis:entry colname="col2">Ultra zero air</oasis:entry>
         <oasis:entry colname="col3">Ultra zero air, ultra-high-purity N<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Control gas (trace)</oasis:entry>
         <oasis:entry colname="col2">5 % CO<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in air</oasis:entry>
         <oasis:entry colname="col3">49.1 ppm N<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O in air, 54.6 ppm CH<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> in air</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Flow control</oasis:entry>
         <oasis:entry colname="col2">0.6 to 1 slpm per column</oasis:entry>
         <oasis:entry colname="col3">0.65 slpm per column</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Matrix</oasis:entry>
         <oasis:entry colname="col2">Silica</oasis:entry>
         <oasis:entry colname="col3">Silica, soil</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2167">Alcohols (e.g., methanol and ethanol) have weak features in the methane
spectral window (1295 cm<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), at levels typically below that of the isotopic
precision. We tested whether VOCs would cause infrared spectral
interferences with TILDAS analysis by exposing the instrument to
artificially elevated part-per-thousand levels of methanol, ethanol, and
formaldehyde – three species that may be common in soil. We found potential
for interference near the <inline-formula><mml:math id="M169" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>CH<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> absorption at elevated alcohol levels but
did not observe this interference in the spectra collected from probes in
the soil tested.</p>
      <p id="d1e2200">System 2 calibration used online mass flow control to dilute concentrated
N<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O or CH<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> calibration gases into UZA. We used pure samples of N<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O from
the Massachusetts Institute of Technology (MIT Ref I and Ref II). The isotopic
ratios of N<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O were determined by isotope ratio mass spectrometry (IRMS) and
TILDAS measurements and externally verified by Sakae Toyoda at the Tokyo Institute
of Technology (McClellan, 2018). For calibration of the soil
matrix tests discussed below, we used MIT Ref II to make a surveillance
standard of 1000 ppm N<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. After calibrating N<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopes against the
reference gas, observed lab air N<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopic ratios were within
3 ‰ of the relatively stable isotopic ratios of ambient
tropospheric N<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (Snider et al., 2015): bulk <inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N value of
6.3 ‰–6.7 ‰, site preference of
18.7 ‰ (Mohn et al., 2014), and <inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O value of
44.4 ‰ (Snider et al., 2015). For CH<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
concentrations, a CH<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> surveillance tank served as a stable isotopic source
to identify changes in isotopic composition. Measured instrumental
precisions with an averaging time of 2 min were 0.9 ‰
and 1.6 ‰ for N<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O bulk <inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N and the site preference,
respectively, at 325 ppb N<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, and 0.2 ‰ for <inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>CH<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>High-resolution volatile organic compound gas analyzer</title>
      <p id="d1e2366">In System 2 experiments, we integrated a PTR-TOF-MS instrument (Vocus; Aerodyne
Research Inc., Billerica, MA, USA) (Krechmer et al., 2018) into
the sampling system in parallel with the N<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–CH<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> TILDAS to detect soil VOCs
such as monoterpenes, isoprene, and pyruvic acid (Gonzalez-Meler
et al., 2014; Guenther et al., 1995). The Vocus technology contains a
corona discharge reagent-ion source and focusing ion molecule reactor (fIMR)
that has low limits of detection (less than parts per trillion by volume) and a
fast time response, acquiring the entire mass-to-charge spectrum on the
order of microseconds. A TOF instrument also has high resolving power in the
mass dimension, enabling separation of isobaric signals (occurring at the
same nominal mass-to-charge ratio). The TOF instrument employed in this work consisted
of a 1.2 m flight tube enabling a resolving power <inline-formula><mml:math id="M190" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 10 000 m <inline-formula><mml:math id="M191" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:math></inline-formula>. A sample flow of 100 sccm was injected continuously into the
Vocus source, with no extra overblow or carrier flow in the inlet line.</p>
      <p id="d1e2411">Data were processed using the Tofware (Aerodyne and TOFWERK A.G.) software
package in Igor Pro (WaveMetrics). For these experiments the PTR-TOF-MS instrument was not
quantitatively calibrated for the signals reported below, as we were only
interested in relative concentration responses to wetting. Thus, signals are
reported in non-normalized counts per second (Hz).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Experiments performed</title>
      <p id="d1e2423">We performed experiments using Systems 1 and 2 (Sect. 2.2, Fig. 2) to
demonstrate the feasibility and versatility in coupling the permeable soil
gas probes to trace gas analyzers to measure in situ gas concentrations and
isotope ratios in soils. We conducted two categories of experiments: (1) experiments under controlled conditions using silica, characterizing the
ability of probe sampling to measure known, controlled soil gas
concentrations, and (2) experiments with soil, characterizing the ability of
probes to capture soil microbial gas cycling dynamics from natural soils in
response to environmental changes.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Experiments under controlled conditions using silica</title>
      <p id="d1e2433">Silica sand was used to limit trace gas production or consumption from the
matrix for controlled evaluation of the probe. Three columns were filled
with a dry silica matrix (Table S1) and closed hermetically. Gas
concentrations and isotopic signatures of the inlet, soil probe, and column
headspace samples were quantified while the gases flowed continuously
through the column and dilution rates were varied (Table 3).</p>
      <p id="d1e2436">We evaluated the effect of probe sampling on the column (Experiment 1) by
changing the probe flow rate with constant control gas concentration and
dilution. With System 1 and a single column, we alternated measurement of
CO<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration in headspace gas (1 h) and the probe (15 min) to determine
the impact of probe sampling on soil column outflow concentrations. Next, we
tested the flow conditions that support the probe delivering fully
equilibrated and representative samples by varying flow and dilution at
constant column concentrations (Experiment 2). We evaluated 42 combinations
of set points for total flow (from 50 to 300 sccm, at 50 sccm intervals) and
dilution (from 90 % to 9 %, at 15 % intervals). Each measurement cycle
lasted 25 min (15 min probe, 10 min column headspace) using one probe in
System 1 and System 2.</p>
      <p id="d1e2448">We scaled up the sampling systems to three probes to evaluate multiple
probes (Experiment 3). We measured probe and headspace gas at a constant
dilution (75 %) of a 2000 ppm CO<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> control gas for a target observation
concentration of 500 ppm and probe flow rates of 5, 10, 20, 30, 40,<?pagebreak page172?> 50, and
100 sccm (System 1). System 2 was similarly evaluated with N<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CH<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
control gases in the silica matrix (Table 3).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e2482">Experiments under controlled conditions with the silica matrix using
Systems 1 and 2.</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment</oasis:entry>
         <oasis:entry colname="col2">Columns</oasis:entry>
         <oasis:entry colname="col3">Probe pore</oasis:entry>
         <oasis:entry colname="col4">Total flow (sccm),</oasis:entry>
         <oasis:entry colname="col5">Control gas</oasis:entry>
         <oasis:entry colname="col6">System</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">size (<inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col4">probe flow (sccm), dilution (%)</oasis:entry>
         <oasis:entry colname="col5">(ppm)</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1. Effect of probe</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">P8   (8 <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col4">total (10–600), probe (5–300),</oasis:entry>
         <oasis:entry colname="col5">CO<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> 1000</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">sampling (silica)<inline-formula><mml:math id="M201" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">dilution (50 %)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2. Flow and dilution<inline-formula><mml:math id="M202" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">P8  (8 <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col4">total (<inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula>), probe (0–300),</oasis:entry>
         <oasis:entry colname="col5">CO<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> 1000</oasis:entry>
         <oasis:entry colname="col6">1, 2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">dilution (<inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mn mathvariant="normal">90</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> %)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">P8   (8 <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col4">total (20–400), probe (5–100),</oasis:entry>
         <oasis:entry colname="col5">CO<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> 2000</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">P10   (10 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col4">dilution (75 %)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3. Multiprobe evaluation<inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col2">3</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">P5   (5 <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"/>
         <oasis:entry rowsep="1" colname="col5"/>
         <oasis:entry rowsep="1" colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">P8   (8 <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col4">total (250),  probe (25),</oasis:entry>
         <oasis:entry colname="col5">N<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O 3 ppm, <?xmltex \hack{\hfill\break}?>CH<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> 7 ppm</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">P10 (10 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col4">dilution (90 %)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2485"><inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Experiments 1–3 were conducted with the column top closed and no water
addition.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Experiments with soil</title>
      <p id="d1e2915">We replaced the silica matrix with soil in the columns to understand (1) probe behavior and response when monitoring soil gases in a complex and
dynamic soil matrix and (2) soil processes that drive dynamic changes in
subsurface soil gases. We measured N<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CH<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> concentrations and isotopic
signatures with the improved TILDAS instrument in System 2 (Fig. 2) in a
series of experiments (Table 4). For soil experiments, headspace
measurements can be used to track surface gas fluxes but do not represent
control gas concentrations as in the silica experiments. We evaluated how
measured soil gas concentrations changed in response to the following: probe sample flow
rate (Experiment 4), environmental manipulation of the soil matrix (e.g., increased soil moisture with 5.1 cm of simulated rainfall) (Experiment 5),
and forced changes to the soil redox state (e.g., forced N<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and UZA through the
columns to shift from anoxic to oxic soil environments) (Experiment 6). In
this last experiment, we integrated the Vocus PTR-TOF-MS instrument into the system to
measure soil VOCs (Fig. 2).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e2948">Experiments under controlled conditions with the soil and silica matrix
using System 2.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.93}[.93]?><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment</oasis:entry>
         <oasis:entry colname="col2">Type of</oasis:entry>
         <oasis:entry colname="col3">Columns</oasis:entry>
         <oasis:entry colname="col4">Probe</oasis:entry>
         <oasis:entry colname="col5">Total flow (sccm), probe</oasis:entry>
         <oasis:entry colname="col6">Control</oasis:entry>
         <oasis:entry colname="col7">Soil</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">soil</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">flow (sccm), dilution (%)</oasis:entry>
         <oasis:entry colname="col6">gas/flush</oasis:entry>
         <oasis:entry colname="col7">moisture</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">4. Soil vs. silica:</oasis:entry>
         <oasis:entry colname="col2">Soil 1</oasis:entry>
         <oasis:entry colname="col3">4</oasis:entry>
         <oasis:entry colname="col4">P8   (8 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col5">total (235), probe (60),</oasis:entry>
         <oasis:entry colname="col6">Capped<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Field moisture</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">multiprobe flow</oasis:entry>
         <oasis:entry colname="col2">Silica</oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4">P10   (10 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col5">dilution (74 %)</oasis:entry>
         <oasis:entry colname="col6">N<inline-formula><mml:math id="M227" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O 3 ppm,</oasis:entry>
         <oasis:entry colname="col7">Dry</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">rate dependence</oasis:entry>
         <oasis:entry colname="col2">Silica</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4">P25   (25 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">CH<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> 7 ppm</oasis:entry>
         <oasis:entry colname="col7">Dry</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5. Soil wetting<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Soil 1</oasis:entry>
         <oasis:entry colname="col3">4</oasis:entry>
         <oasis:entry colname="col4">P8  (8 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col5">total (50–100), probe (25),</oasis:entry>
         <oasis:entry colname="col6">n/a<inline-formula><mml:math id="M232" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Dry to wet</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">dilution (50 %–75 %)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6. Soil redox: anoxic (N<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) to oxic (UZA)<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Soil 3</oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4">P10  (10 <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col5">total (185), probe (53),</oasis:entry>
         <oasis:entry colname="col6">UZA<inline-formula><mml:math id="M236" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Wet</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">dilution (71 %)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.93}[.93]?><table-wrap-foot><p id="d1e2951"><?xmltex \hack{\vspace{2mm}}?><inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Experiment conducted with the column top open.
<inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Experiment integrated the Vocus PTR-TOF-MS instrument for VOCs.
<inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Measurements performed with the column closed.
<inline-formula><mml:math id="M222" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> n/a: not applicable – control gas was not used during the experiment.
<inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> Matrix flushed with ultra zero air (UZA) on a capped (close) column to
change the condition only.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Data processing</title>
      <p id="d1e3356">For System 1, we used RStudio and R version 3.3.2 (R Core Team, 2017)
to integrate raw data with metadata. Igor Pro (version 7, WaveMetrics, Lake
Oswego, OR, USA) for System 1 and System 2 was used to analyze instrument
diagnostics, concentrations, and time series. We averaged the last 80 % to
90 % of each measurement. Measurements were dilution corrected to obtain
undiluted sample concentrations (Eq. 1). In controlled tests when true
headspace concentrations were measured before and after a probe measurement,
these values were interpolated for comparison against probe concentrations
to determine fractional recovery of soil gas concentrations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3361">Isotopomer spectral regions for monitoring N<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CH<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
isotopomers. <bold>(a)</bold> N<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopologue spectrum near 2196 cm<inline-formula><mml:math id="M240" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Four N<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
isotopomers were present and spectrally separated; yellow and purple refer
to the <inline-formula><mml:math id="M242" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N isotopomers with different positions relative to the oxygen. Blue
refers to the <inline-formula><mml:math id="M243" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O isotopomer. <bold>(b)</bold> Spectral simulation of 1294 cm<inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> region
for methane analysis with lines well separated from H<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and N<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O.</p></caption>
          <?xmltex \igopts{width=503.61378pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><?xmltex \opttitle{Instrument improvement (N${}_{2}$O--CH${}_{4}$ isotopomer TILDAS)}?><title>Instrument improvement (N<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–CH<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> isotopomer TILDAS)</title>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Selection of spectral regions</title>
      <p id="d1e3516">We selected optimal spectra windows and laser technologies for detection of
the isotopomers of both CH<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O using fundamental rovibrational
transitions (Fig. 3). We used Aerodyne-developed simulation programs that
utilize the HITRAN database (Rothman et al., 2013) to perform
spectral simulations to identify potential measurement regions. Based on
these simulations, we obtained appropriate lasers and detectors for the
selected spectral regions. Simulations assumed an N<inline-formula><mml:math id="M251" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O mixing ratio of 1 ppm
(lower end of expected values; Rock et al., 2007)
in a mixture with 1.3 % H<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, 1 % CO<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, 220 ppb CO, and 1.9 ppm CH<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, at 30 Torr in a 76.4 m pathlength sample cell. This resulted in the selection of a
spectral region (Fig. 3a) where all four N<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopomers of interest,
<inline-formula><mml:math id="M256" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M258" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O (446), <inline-formula><mml:math id="M259" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M260" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M261" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O (456), <inline-formula><mml:math id="M262" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M263" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M264" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula>O (546), and <inline-formula><mml:math id="M265" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M266" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M267" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O
(448), have absorptions in close spectral proximity (<inline-formula><mml:math id="M268" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 1 cm<inline-formula><mml:math id="M269" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
but without overlap of absorptions of each other or other trace gases such
as CO<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The 2196 cm<inline-formula><mml:math id="M271" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> region was used to monitor the N<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopologues
and CO<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the soil gas matrix using a quantum cascade laser (QCL) (Alpes
Lasers, Switzerland). We selected a second QCL (Alpes Lasers) based on
simulations of methane isotopes in the 1294 cm<inline-formula><mml:math id="M274" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> region to monitor <inline-formula><mml:math id="M275" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>CH<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>CH<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> isotopomers (Fig. 3b). This region also provided measurement of H<inline-formula><mml:math id="M279" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
content in the soil gas via a water spectral feature at <inline-formula><mml:math id="M280" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1294.0 cm<inline-formula><mml:math id="M281" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Optimization of isotope ratio measurements</title>
      <p id="d1e3837">TILDAS operational parameters were optimized to increase isotope ratio
precision. For example, we monitored the slightly weaker doublet at 2196.2 cm<inline-formula><mml:math id="M282" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> that had lower concentration dependence than the stronger absorber
singlet at 2195.6 cm<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> that would produce nonlinear dependence at high
mixing ratios. In addition, we modified<?pagebreak page173?> fitting parameters to minimize the
impact of baseline variability on measurement precision (fit shown in Fig. S3). These improvements in spectral fitting helped minimize the dependency
of N<inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CH<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> isotopic ratios on concentration. Specifically, we reduced
the slope of <inline-formula><mml:math id="M286" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> vs. the mole fraction to 0.7 ‰ ppm<inline-formula><mml:math id="M287" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> N<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (for
N<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O <inline-formula><mml:math id="M290" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 8 ppm) and 0.5 ‰ ppm<inline-formula><mml:math id="M291" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> CH<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (for CH<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M294" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 14 ppm). The online dilution approach was critical for avoiding
N<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CH<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> concentrations in soil exceeding these linear ranges. We
quantified the precision of the isotopic ratios (Table S2) using Allan–Werle
plots (Werle et al., 1993) (Fig. S3).</p>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <label>3.1.3</label><title>Sample cell reduction</title>
      <p id="d1e3991">We improved measurement response time by reducing the TILDAS sample cell volume
while maintaining the spectroscopic pathlength. Unnecessary “dead” volume
in the sample cell was eliminated through two approaches. First, we reduced
the cell volume (port to port) by 20 % (610  to 485 cm<inline-formula><mml:math id="M297" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>) by shortening
the cell by 4.2 cm, eliminating dead volume behind the mirrors. Second, the
insert reduced the cell volume by <inline-formula><mml:math id="M298" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 % (485 to 245 cm<inline-formula><mml:math id="M299" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>) by
filling volume between the mirrors but in the region outside of the
multipass laser path. Overall, these changes reduced cell volume from 610 cm<inline-formula><mml:math id="M300" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> (previous ARI 76 m astigmatic multipass absorption cell (AMAC)) to
245 cm<inline-formula><mml:math id="M301" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>, which improved the cell response time by 40 %, here defined as
the time to observe 75 % of a full transition in concentration (Fig. S4)
(i.e., from 1.13 (0.005)  to 0.76 (0.01) s; 30 Torr and 1 slpm). At the
cell pressure of 30 Torr used here, this 245 cm<inline-formula><mml:math id="M302" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> absorption cell volume
corresponds to 9.7 cm<inline-formula><mml:math id="M303" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> of sample gas at ambient pressure.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Probe integration with gas sampling system – performance and optimization</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Effect of probe sampling on soil gas concentrations (Experiment 1)</title>
      <p id="d1e4072">Soil probes sample subsurface gases by diffusion across the probe membrane
into a UZA stream flowing through the probe. In our balanced mass flow
approach, an equal proportion of UZA molecules diffuse out of the probe
relative to soil gas diffusing in, which can affect (i.e., dilute)
concentrations in the subsurface environment. To quantify the impact of
probe sampling on soil column concentrations, we set control gas to 1000 ppm CO<inline-formula><mml:math id="M304" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and varied the probe flow rate<?pagebreak page174?> from 5 to 300 sccm and back, at a
constant dilution (50 %). We evaluated the impact of a 15 min soil probe
measurement on subsequent 1 h measurements of the column headspace. We
found that column CO<inline-formula><mml:math id="M305" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations were depleted directly following probe
sampling (from 0.6 % to 1.6 % depletion) and took <inline-formula><mml:math id="M306" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 1 h to
fully stabilize. Column CO<inline-formula><mml:math id="M307" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was most depleted after higher probe flow rates
(Fig. 4) due to increased CO<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-free UZA diffusion through the probe membrane.
Low probe flow rates helped minimize these sampling artifacts on subsurface
concentrations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e4120">Effect of probe flow rate on column gas concentration (System 1),
representing the potential impact of probe sampling on the soil environment.
Points represent concentration of CO<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the headspace column for 1 h
after a 15 min probe sampling event at various increasing (forward) and
decreasing (reverse) probe sampling flow rates.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f04.png"/>

          </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e4140">Headspace and probe measurements of N<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O using silica in System 2
(CH<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>–N<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O). Example of initial pulse that equilibrates under flow-through and
incomplete diffusion of N<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O concentration (green shade) with undetectable
isotopic fractionation of isotopomers <inline-formula><mml:math id="M314" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>456 (red), <inline-formula><mml:math id="M315" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>546
(green), and <inline-formula><mml:math id="M316" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>448 (blue).</p></caption>
            <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f05.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page175?><sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Impact of probe flow rate and dilution on residence time of gas in
probes (Experiment 2)</title>
      <p id="d1e4217">Compared to the controlled soil gas concentrations (Fig. 5), the
probe-sampled concentrations were lower. When probe carrier gas is not
flowing, the volume inside the probe is fully equilibrated with soil gas.
This resulted in the observed initial “pulse” of high gas concentrations
when a probe was first selected and measured. During sampling, probe gas
concentrations drop to a steady-state value that represents a balance
between the probe flow rate and the diffusion rate of soil gas molecules into
the probe.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e4222">Probe and headspace CO<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> over a range of probe flow rates and
dilution ratios (color), reflecting the recovered sample and true gas
concentrations, respectively. Column soil gas concentrations (headspace)
remained steady across the experiment, while gas concentrations sampled by
the probe diverged from true values at high probe sampling flow rates.
Similar patterns were observed for independent experiments run with the
reverse sequence from low-to-high vs. high-to-low probe flow rates (open vs.
closed symbols). CO<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations are dilution corrected (System 1 dual).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f06.png"/>

          </fig>

      <p id="d1e4249">Gas samples obtained by probes at low probe flow rates were most
representative of soil gas as the slower flow rates allow more complete
diffusive equilibration. We evaluated the impact of combinations of
different total flow rates (from 50 to 300 sccm at 50 sccm increments) with
sample dilution ratios (from 0 % to 90 % dilution at 15 % increments)
resulting in probe sampling flow rates of between 5 and 300 sccm. These tests
were conducted in the silica matrix with controlled soil gas composition
(1000 ppm CO<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) (Experiment 2). We calculated the residence time of carrier
gas in the soil probe by considering the internal volume of the probes
(<inline-formula><mml:math id="M320" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is 2.6–4.6 mL) and the range of flow rates evaluated (<inline-formula><mml:math id="M321" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> is 5–300 sccm).
This indicates that the residence time (<inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>/</mml:mo><mml:mi>F</mml:mi></mml:mrow></mml:math></inline-formula>) could range from <inline-formula><mml:math id="M323" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 1 s for high flow rates to 55 s for the lowest flow rates and larger
volume (5 sccm in probes P5, P8, P10). We found that observed soil probe
concentrations decreased with increases in the probe flow rate (Figs. 6,  7),
with no systematic influence of the dilution ratio. For the probe tested
(Table 4), flow rates below 24.5 sccm produced representative samples
(within 90 % of true concentration). We did not observe any clear
drawbacks to sampling CO<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at flow rates <inline-formula><mml:math id="M325" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 50 sccm (Fig. 7).</p>
      <p id="d1e4312">Probe flow rates affected gases unequally and based on their diffusivity.
Probe recovery was lower for CO<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with lower diffusivity than CO (molecular
diffusion coefficients in air at 20 <inline-formula><mml:math id="M327" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (CO<inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> 0.14, CO 0.18)
(Bzowski et al., 1990; Massman, 1998) (Fig. 7). The fractional
recovery of true soil gas concentrations by probe gas sampling (i.e.,
probe : column headspace ratios) was higher (0.65) for CO than CO<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (0.2) at
high flow rates (300 sccm). Additionally, the recovery ratios at specific
flow rates were more scattered at a higher flow rate for CO. Regardless of
the diffusion coefficient, both CO<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and CO reached equilibrium at low probe
flow rates, but CO was well equilibrated over a 4<inline-formula><mml:math id="M331" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> wider range (5–100 sccm)
than CO<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (5–25 sccm). Moreover, for molecular isotopologues (e.g., <inline-formula><mml:math id="M333" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>CO<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> vs.
<inline-formula><mml:math id="M335" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>CO<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), at increasing probe flow rates, the sampled CO<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C appears
to be lighter than the headspace control by ca. <inline-formula><mml:math id="M339" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6 ‰ (Fig. 8) at the highest probe flow rates. That this
fractionation was observed relative to the headspace measurements implies it
is derived from the probe rather than the rest of the sampling system
(tubing, multiport valves, MFCs). These concentration and isotopic
fractionation results underscore the need to ensure that the probe flow rate
is sufficiently low to ensure full diffusive exchange between zero air and
soil gas
before the gas sample exits the probe.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e4443">Impact of probe sampling flow rate on the fractional recovery of
true gas concentrations by probe gas sampling for trace gases with differing
diffusivity (CO <inline-formula><mml:math id="M340" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> CO<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), represented as the
fractional recovery (probe : headspace concentration ratio) during a test with
a sequential increase in the probe flow rate (forward in filled symbols)
followed by a test decreasing (reverse in open symbols) the flow rates.
Dilution-corrected CO<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and CO in System 1.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f07.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e4479">Impact of probe sampling flow rate on the fractional recovery of
true CO<inline-formula><mml:math id="M343" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations (left axis, circles) and the offset in true soil
<inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C (right axis, triangles) by probe gas sampling. As in Fig. 7,
sequential probe flow rate increase (filled symbols) and decrease (open
symbols) tests are plotted together. Dilution corrected in System 1.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f08.png"/>

          </fig>

</sec>
<?pagebreak page176?><sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Demonstration with multiple probes (Experiment 3)</title>
      <p id="d1e4516">We upscaled the online diffusive probe sampling method in both System 1 and System 2 to automatically control multiple probes using flow rates (<inline-formula><mml:math id="M345" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 100 sccm) to measure soil gas concentrations and isotopic ratios.
To fully constrain probe measurements in the silica matrix (Table 3), each
probe was evaluated repeatedly over a full sampling cycle (<inline-formula><mml:math id="M346" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 25 m) to measure headspace–probe–headspace. In both systems, we could
scale to sequential measurements of multiple probes with good sample
recovery (e.g., minimal concentration loss, isotope fractionation). In
particular, probe recovery of N<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopomers was within
3 ‰ of true headspace values, and equilibration of all
trace gas species generally was near or above 85 % (Fig. 9). Multiprobe
tests showed that the system has a high potential for scalable spatial
resolutions and scalability.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e4544">Soil probe sampling approach upscaled to multiple probes (System 2). Multiprobe tests measured headspace–probe–headspace sequentially for
(top panels) N<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (green shade, right side) including isotopic ratios for
three N<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopomers <inline-formula><mml:math id="M350" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>456 (red), <inline-formula><mml:math id="M351" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>546 (green), and <inline-formula><mml:math id="M352" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>448 (blue) and (bottom
panel) <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C CH<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (brown, left axis) and CH<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (brown, right axis).</p></caption>
            <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f09.png"/>

          </fig>

      <p id="d1e4622">We used the multiprobe system to determine whether probes with different
properties would exhibit the same flow dependency and, in particular, the
effect of the characteristic pore size of an sPTFE probe on concentration
recovery. The flow rate dependence of the different probes was determined
with CO<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in silica sand (Fig. 10). We found that the flow rate dependency
for one pore size (P1) predicted the general behavior of others (P2–P3)
across a 5–10 <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m pore size range. Unexpectedly, we did not find a
clear link between the pore size and the fractional recovery of true soil
CO<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations for any given flow rate. For example, we might expect
that a pore size of 10 <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m would permit greater diffusion and favor
probe equilibration; instead, the 8 <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m probe produced a more
equilibrated sample than either the 5 <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m or the 10 <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m (Fig. 10).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e4687">Impact of probe pore size on the relationship between the probe
sampling flow rate and fractional recovery of true soil gas concentrations.
Multiprobe test with System 1. Column headspace–probe–headspace were
measured sequentially, and headspace values were interpolated to calculate
the fractional recovery.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f10.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <label>3.2.4</label><title>Comparison of probe flow rate dependency in soil vs. silica (Experiment 3 and 4)</title>
      <p id="d1e4706">In System 2, at low probe flow rates the concentration measured from the
probe was similar to the concentration in the headspace in the silica
matrix. Probe flow rates above 25 sccm decreased probe concentration for
both the 10  and the 25 <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m pore sizes (Fig. 11). Similarly to System 1
(Fig. 10), the fractional recovery did not increase with pore size, and we
did not find that the 25 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m pore size transferred more gas into the
carrier flow. In tests at a higher probe flow in the silica matrix, the
fraction of CH<inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> recovered in the probe was higher than for N<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, consistent
with System 1 results (Fig. 7) and the known molecular diffusion rates of
N<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CH<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> through soil, 0.14  and 0.19 cm<inline-formula><mml:math id="M369" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M370" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively
(Wang et al., 2014). Thus CH<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> diffuses into the probe and
replenishes the area around the probe more quickly during sampling than N<inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O.</p>
      <p id="d1e4801">In System 2, even in soil where controlled soil gas conditions were lacking
(i.e., cannot constrain with headspace measurement), we observed a decline in
measured soil gas<?pagebreak page177?> concentrations with flow rate, similarly to the silica
matrix experiments (Table 3).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e4806">Impact of the probe sampling flow rate, pore size, trace gas species,
and soil matrix on the fractional recovery of true soil gas concentrations
with probes. Fractional recovery of N<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (green) and CH<inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (yellow) in a silica
matrix with flowing control gas and a probe pore size of 10 <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m
(triangle) and 25 <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m (circles). The recovery of N<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O gas in soil at the
field moisture level (red squares), normalized to high recovery, measured with a
probe pore size of 8 <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. All measurements using System 2.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f11.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Application of sampling system to process studies and interpretation</title>
      <p id="d1e4876">Disturbance to and environmental variables in soil systems (pedosphere)
strongly influence biogeochemical fluxes to and from the atmosphere that can
be uniquely studied with probes. Following the system optimization (Sect. 3.2), we no longer controlled soil gas concentrations and rather focused on
the behavior of real shifts in soil gas recovered by probes, which were no
longer necessarily reflected by headspace concentrations. In the following
tests, we manipulated key drivers of soil function (moisture and redox
conditions) to elicit responses in soil microbial processes and soil gas
concentrations to discover the in situ soil gas dynamics newly observable
with our soil gas probe sampling system.</p>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><?xmltex \opttitle{Impact of soil dry--wet cycle on N${}_{2}$O pulse dynamics and process
identification (Experiment~5)}?><title>Impact of soil dry–wet cycle on N<inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O pulse dynamics and process
identification (Experiment 5)</title>
      <?pagebreak page178?><p id="d1e4896">We used soil trace gas sampling and nitrogen isotopic mapping to identify
real-time, in situ changes in N<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O production pathways in response to soil
wetting. Soil wetting induced a strong pulse in subsurface N<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
concentrations, isotopic signatures, and site preference that was captured
in detail with the N<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and CH<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> TILDAS and real-time in situ soil gas probe
sampling. We found that the isotopic ratios of all three N<inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopomers
(<inline-formula><mml:math id="M385" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>448, <inline-formula><mml:math id="M386" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>546, <inline-formula><mml:math id="M387" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>456), site preference, and N<inline-formula><mml:math id="M388" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
concentration responded to the wetting over the subsequent 36 h period.
N<inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O rose from approximately 3 ppm to over 40 ppm, with a corresponding and
slightly delayed response in isotopic signatures (Fig. 12). The dramatic
increase in N<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O required additional dilution at concentrations above the
expected range of the TILDAS (<inline-formula><mml:math id="M391" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 20 ppm). The response of the two
<inline-formula><mml:math id="M392" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N-N<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopomers diverged enough to drive a shift in the site preference
(SP) upward by approximately 4 ‰–6 ‰ before falling back down toward
2 ‰. After the peak, the decline in concentration and
isotopic signatures was not explained by soil moisture, which was a
relatively steady 25 %–30 % volumetric water content (VWC) throughout the
period. N<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopes point to pathways such as hydroxylamine decomposition,
chemodenitrification, nitrifier denitrification, or denitrifier
denitrification. When mapped into a 3-dimensional isotope space (Fig. 12b)
that is based upon previous observations of the SP, <inline-formula><mml:math id="M395" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">bulk</mml:mi></mml:msub></mml:math></inline-formula>, and <inline-formula><mml:math id="M397" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O for a
variety of different processes (Toyoda et al., 2017; Wei et al.,
2019), the observed isotopic signature falls between chemodenitrification
and bacterial denitrification. While the <inline-formula><mml:math id="M398" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">bulk</mml:mi></mml:msub></mml:math></inline-formula>, and <inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O signals are
dependent upon the substrate <inline-formula><mml:math id="M401" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N and <inline-formula><mml:math id="M402" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O compositions, the shift over the
course of the rewetting measurement indicates a period of more
denitrification (at higher SPs), then decreasing back to bacterial
denitrification. Importantly, the observed range of SP values is well below
the expected range for bacterial and archaeal nitrification (AOB, AOA),
which are <inline-formula><mml:math id="M403" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 20 (off the scale in Fig. 12b).</p>
      <p id="d1e5109">In contrast to the dynamic response in N<inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, soil CH<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> concentrations remained
low, leading to low signal-to-noise ratios in the detected <inline-formula><mml:math id="M406" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C-CH<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
isotopologue, and did not respond to wetting (data not shown). The dilution
rate of the sample was increased by 1.9<inline-formula><mml:math id="M408" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> at hour 18, resulting in a 1.9<inline-formula><mml:math id="M409" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>
reduction in N<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O concentration measured by TILDAS (accounted for in Fig. 12). Despite the large change in concentration, the isotopic signatures
barely changed, even after readjusting the dilution rate at hour 42,
indicating that their concentration dependence had been well accounted for.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e5174"><bold>(a)</bold> Soil wetting induced a pulsed response in soil N<inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (shaded
green) and its isotopic signals including <inline-formula><mml:math id="M412" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>448 (blue), <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">bulk</mml:mi></mml:msub></mml:math></inline-formula> (red), and site preference (purple). A soil column
without a lid was wetted with the equivalent of 5.1 cm of rainfall. At 18 h after wetting the dilution was changed from <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.8</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, and at 41 h it was changed to <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, which is accounted for in the concentrations
reported here. <bold>(b)</bold> Estimated map of N<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopic signatures of <inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M420" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">bulk</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M421" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis), <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (<inline-formula><mml:math id="M423" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis), and site preference (<inline-formula><mml:math id="M424" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> axis); circles
represent probe measurements of the changes in the isotopic signatures with
time (hours), indicating shifts into regions of different microbial activity
(colored rectangles) (Table S3). On the <inline-formula><mml:math id="M425" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis AOA (green rectangle) and AOB
(purple rectangle) refer to nitrification from ammonia-oxidizing archaea and
ammonia-oxidizing bacteria, respectively. The grey rectangle indicates fungal
denitrification.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f12.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Stimulation of subsurface shifts in soil VOC production in response to
redox shift (Experiment 6)</title>
      <p id="d1e5338">We measured a diverse suite of soil trace gases, including VOCs, to test whether we would observe consistent responses in real-time, in situ changes in multiple compounds to shifts
in redox from anoxic to oxic conditions in soil. Shifting the soil redox
environment from anoxic to oxic conditions induced a cascade of subsurface
gas pulses in CO<inline-formula><mml:math id="M426" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, N<inline-formula><mml:math id="M427" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, and VOCs that we measured by integrating TILDAS and
Vocus analyzers with the real-time in situ soil gas probe sampling (Fig. 13). Before this experiment, the soil column was forced into anoxic
conditions by advectively flushing with N<inline-formula><mml:math id="M428" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> through the control gas ports for
3.5 h; subsequently, conditions were driven oxic by flushing the system
with UZA for a short time at time zero. Conversion to oxic conditions drove
a pulse in N<inline-formula><mml:math id="M429" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O concentrations that was slow and considerably weaker
(reaching 1.6 ppm after 72 h) than the wetting response (Experiment 5).
The onset of oxic conditions brought a strong CO<inline-formula><mml:math id="M430" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increase from 0.1 %–0.4 %, suggesting an increase in microbial respiration. Along with CO<inline-formula><mml:math id="M431" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
N<inline-formula><mml:math id="M432" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, we measured a cascade of responses in masses corresponding to different
VOCs. As respiration and nitrogen processing increase, the larger VOCs
exhibit either immediate loss (C<inline-formula><mml:math id="M433" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M434" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msub></mml:math></inline-formula>O, C<inline-formula><mml:math id="M435" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M436" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">20</mml:mn></mml:msub></mml:math></inline-formula>O, e.g., nonanal, methylborneol) or
delayed loss (C<inline-formula><mml:math id="M437" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M438" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:math></inline-formula> (monoterpenes), C<inline-formula><mml:math id="M439" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M440" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">22</mml:mn></mml:msub></mml:math></inline-formula>O, e.g., geosmin) in the soil. In
contrast, after 5 h, the sulfur-containing compounds methanethiol
(CH<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S) and dimethyl sulfide (C<inline-formula><mml:math id="M442" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M443" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>SH) exhibited a surge in production. The
approach captured different sensitivities and temporal responses to a shift
in soil redox across a suite of soil gases that reflect different
biochemical processes and their sensitivity to redox conditions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e5508">A sudden change from anoxic to oxic soil conditions, induced by
flushing with UZA, drives dynamic responses in N<inline-formula><mml:math id="M444" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, CO<inline-formula><mml:math id="M445" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and a variety of
VOCs captured using the diffusion-based soil probe integrated with the
TILDAS and Vocus analyzers. System 2 Experiment 6 with a Biosphere 2 Tropical Rainforest soil (Table S1).</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/165/2022/bg-19-165-2022-f13.png"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e5545">We developed a new soil gas sampling system that integrated diffusive sPTFE
soil probes with online, high-resolution trace gas analyzers. The versatile
system detected changes in soil concentration and isotopic signatures of N<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
and CH<inline-formula><mml:math id="M447" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and VOCs that reflected shifting biogeochemical processes in
response to environmental manipulation of soil moisture and redox.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Optimizing soil gas sampling</title>
      <p id="d1e5573">Probe sample gas recovery depended on the probe flow rate and the trace gas
species, while the effect of dilution of the probe sample outflow on
recovery was minimal. The probe flow rate determines the time available for
carrier UZA to equilibrate with soil gas across the diffusive membrane as it
flows through the probe: lower probe sampling flow rates allow more time to
equilibrate than do high flow rates (Gut et al., 1998; Parent et
al., 2013). By running tests in reverse order, we showed that the results
were not dependent upon carryover or memory effects. Correspondingly, we
observed that the fractional recovery of true soil gas concentrations
declined exponentially with increased probe flow rates across all systems
(Figs. 8 and 11), analytes (Fig. 7), and probe characteristics tested.
The maximum probe flow rates that delivered well-equilibrated samples
(<inline-formula><mml:math id="M448" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 90 % equilibrated) ranged from <inline-formula><mml:math id="M449" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 to 100 sccm, depending on the system and, in particular, the molecule measured.
Indeed, in both silica and the soil matrix, gas recovery was better for
molecules with relatively higher molecular diffusivity (i.e., CO, CH<inline-formula><mml:math id="M450" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>,
<inline-formula><mml:math id="M451" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C CO<inline-formula><mml:math id="M452" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) than paired analysis of those with lower diffusivity (i.e., CO<inline-formula><mml:math id="M453" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
N<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M455" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C CO<inline-formula><mml:math id="M456" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) (Wang et al., 2014). Molecules with higher
diffusivity move across the membrane and also replenish the area around the
probe during sampling more quickly than<?pagebreak page179?> those with lower diffusivity. As a
result, the upper range of probe flow rates that produce representative gas
samples will be higher for analytes with higher diffusivity and more
restricted for slowly diffusing molecules. While isotopic fractionation was
observed in some (CO<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, Fig. 8) but not all (N<inline-formula><mml:math id="M458" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, Fig. 9) tests, incomplete
equilibration affected recovery of bulk concentration more strongly than the
isotopic signature, suggesting that optimized probe sampling can produce
isotopically representative samples with minimal fractionation. Finally, the
representative pore size of sPTFE probes did not correlate with sample
recovery, and all sizes quantitatively recovered <inline-formula><mml:math id="M459" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 90 % of the
analyte concentration at optimized flow rates. The sPTFE material is
produced with a characteristic pore size, which may not scale with the total
pore density and could explain the lack of a pore size dependency across
the 5–25 <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m range tested.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Factors yielding a representative sample</title>
      <p id="d1e5696">One of the challenges in soil trace gas measurements is transferring a
representative sample (Parent et al., 2013) from probes to fill
the relatively large sample cell volumes of online analyzers (e.g., tens to hundreds of milliliters at reduced pressure). To address this issue, we reduced the
effective volume of the TILDAS sample cell by designing a more compact cell
with a volume-filling insert (Sect. 3.1). We also integrated online
dilution into the sample transfer system after the probe, which increased
the sample volume delivered to the sample cell without increasing probe flow
rates. Dilution also helped reduce soil gas concentrations to within the
range of sensitive trace gas analyzers and avoid condensation (none
observed). Together, these modifications improved the transfer of
representative soil gas samples to the cell, increased the cell turnover for
a faster time response, and supported lower probe flow rates for better
probe equilibration (Jochheim et al., 2018). Beyond
flow-through sampling, these modifications may be particularly important in
future approaches that transfer equilibrated soil gas “plugs” to an online
analyzer for trapped-sample analysis. In addition, reducing sample demand
also reduces the disruption of the soil probe measurement to the soil
environment. The diffusive soil probes allow sample gas to diffuse into the
probe from the soil environment but also allow the UZA carrier gas to
diffuse out of the probe into the soil. Under controlled soil conditions
(silica and advective flow), probe sampling caused a <inline-formula><mml:math id="M461" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 2 %
decrease in soil CO<inline-formula><mml:math id="M462" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations, with a smaller impact at the low probe
flow rates supported by our volume-reducing modifications. In real soil, the
impact of carrier diffusion out of the probe could be larger where local gas
concentrations are not replenished by advection but depend on local
production, consumption, and diffusion. In addition to reducing sample
volume, lowering the sampling frequency (return rate) may be especially
important for helping to reduce the impact of the perturbation on the soil
environment.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Transferability to multiple analyzers</title>
      <p id="d1e5723">The continuous online soil gas sampling approach is highly transferable
across trace gases and instrument systems. Here, we successfully measured
soil trace gases using two systems.<?pagebreak page180?> Modifications to reduce sample volume
requirements (i.e., online dilution, precise flow control, instrument
modifications) are transferable to other analyzers beyond the TILDAS N<inline-formula><mml:math id="M463" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–CH<inline-formula><mml:math id="M464" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
isotope analyzer. Although other laser absorption spectroscopy instruments
like cavity ring-down spectrometers have been used to measure concentration
and isotopic composition for trace gases like CO<inline-formula><mml:math id="M465" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Voglar et
al., 2019), TILDAS can measure several species at a high sensitivity/spectral
resolution with one instrument (McManus et al., 2015), are
field deployable (McCalley et al., 2014; Roscioli et al., 2015;
Saleska et al., 2006), and readily interface with the valving and flow
control system designed here. Some analyzers (e.g., mass spectrometers) are
destructive (PTR-MS ionizes molecules for analysis), preventing the
closed-loop scheme sampling from being circulated. However, for other soil
gas sampling methods (e.g., online gas chromatography and low-cost sensors), using a
closed-loop system continues to be promising for approaches to decrease the
impact on gas composition and chemistry during subsurface gas sampling.</p>
      <p id="d1e5753">Not only is the approach transferable across instruments, but we
demonstrated that more than one instrument can be integrated for
simultaneous soil probe sampling, e.g., Vocus PTR-TOF-MS for VOCs with
N<inline-formula><mml:math id="M466" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–CH<inline-formula><mml:math id="M467" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> TILDAS in parallel (System 2) and two TILDAS analyzers in series
(System 1). This versatility can be extended to allow analysis of a suite of
soil gases using existing TILDAS technology to study, for example, soil
microbial N cycling (e.g., N<inline-formula><mml:math id="M468" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, NO, NO<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NH<inline-formula><mml:math id="M470" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M471" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HONO, NH<inline-formula><mml:math id="M472" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OH), microbial
trace gas scavenging (e.g., CO, OCS, CH<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M474" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), and other
atmospherically relevant species (e.g., H<inline-formula><mml:math id="M475" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M476" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HONO, N<inline-formula><mml:math id="M477" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M478" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, HCHO, HCOOH,
CH<inline-formula><mml:math id="M479" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OH). These compounds represent metabolites for microbial communities and
intermediates of metabolic pathways of carbon and nitrogen cycling. Coupling
these instruments with soil probes will enable access to incompletely
unexplored biological information that reflects metabolic and signaling
processes in soil.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Considerations for field deployment of the system</title>
      <p id="d1e5893">The sPTFE probes maintained their hydrophobicity, structure, and performance
throughout the (<inline-formula><mml:math id="M480" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 4 months of) operation in laboratory soil. In
contrast, using silicone membranes, Panikov et al. (2007)
found that the methane calibration factor differed between a dry and wet
membrane. Similarly, Rothfuss and Conrad (1994) found memory
effect issues when sampling high concentrations of CH<inline-formula><mml:math id="M481" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> with silicone and
epoxy as soil–gas exchange barriers. Soil probes with PP
membranes have been widely used to measure CO<inline-formula><mml:math id="M482" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Gangi et al.,
2015; Gut et al., 1998; Jochheim et al., 2018) and with polyethylene (PE) for
water isotopes in soil (Volkmann and Weiler, 2014; Volkmann et
al., 2018) and tree xylem (Volkmann et al., 2016a). PP has
been successfully used for water isotope analysis (Rothfuss et
al., 2013, 2015). However, in our past experience (Till H. M. Volkmann,
personal communication, 2017) PP and PE probes have shown decreased wall integrity
during field deployment and long-term use (i.e., dents and cracks), causing
gas and water leaks and compromising hydrophobicity in saturated media.
Importantly, robust performance in this study did not require larger probes;
our 15 cm probes are more rigid and smaller than previous probes that were
typically 100 to 150 cm in length (Gut et al., 1998; Flechard et
al., 2007; Parent et al., 2013; Rothfuss et al., 2013) and are easily
installed via a small drill hole for small-resolution sampling. In some
field applications, it may be more desirable to physically integrate (rather
than resolve) variations in soil gas concentrations over a distance (e.g.,
for a representative concentration) using a long soil probe, which would
help release the low-flow demands of the relatively short probes used here.
Nevertheless, the smaller sPTFE soil probes described have potential to be
both less disruptive to the soil ecosystem and more robust to soil structure
and environmental changes for long-term measurements in the field.</p>
      <p id="d1e5921">The diffusive soil probe sampling system provides a time-dependent picture
of soil gas dynamics. This contrasts with other methods, e.g., manual
sampling with syringes (Kammann et al., 2001) and cartridges
(Wester-Larsen et al., 2020), that are more likely to disturb
the true soil gas<?pagebreak page181?> concentration and may compromise sample integrity during
transfer for offline laboratory analysis (Volkmann and Weiler,
2014). Manual sampling increases potential measurement error and is time-consuming and labor-intensive, particularly for high temporal or spatial
(Wester-Larsen et al., 2020) coverage. Our integrated sample
system can achieve unattended, automated sequential and long-term field soil
gas sampling that is less time-consuming and less laborious.</p>
      <p id="d1e5924">In the field implementation of our system, there will nevertheless be tradeoffs
between sampling frequency and disruption that should be fully considered.
As noted above, diffusive soil sampling can alter soil gas by dilution, and
sample transfer parameters should be optimized to obtain representative
samples with minimal disruption. This may be especially important for
distant sampling points that require longer tubing that may release more
zero air into the soil during sample transfer to the analyzer. Therefore,
future field studies should consider the biogeochemical implications of
adding substrates to the subsurface, test inert carrier gases like He, and
evaluate whether recirculating or flow-through approaches are more
appropriate for each application. The different modules of the sampling
system (Fig. 2) are flexible and can be adjusted to accommodate multiple
probes, different measurement specifications, and soil and environmental
factors in the field.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Subsurface gas measurements to capture and interpret environmental
drivers of soil processes</title>
      <p id="d1e5935">Consistent with our technical hypothesis, the optimized soil gas sampling
system integrated with novel N<inline-formula><mml:math id="M483" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–CH<inline-formula><mml:math id="M484" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> TILDAS captured real-time responses
in subsurface N<inline-formula><mml:math id="M485" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopes to a soil wetting event (Sect. 3.3.1). Soil
wetting is a powerful and well-studied driver of biogeochemical change in
soils known to result in a rapid release of soil gases (Birch effect)
(Birch, 1958; Leitner et al., 2017) and changes in
denitrification emissions of N<inline-formula><mml:math id="M486" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (Groffman et al., 2009). The
soil probes, positioned at 20 cm below the soil surface, captured a
significant increase in subsurface N<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O concentration almost immediately
after water was added to the column and a slow change in the isotopic signature
that suggests a more gradual change in the subsurface processes producing
N<inline-formula><mml:math id="M488" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (Leitner et al., 2017; Van Haren et al., 2005). Our novel
subsurface <inline-formula><mml:math id="M489" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N site preference measurements showed SP signatures for N<inline-formula><mml:math id="M490" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
production between those that are characteristic of bacterial
denitrification and chemodenitrification pathways (Sutka et al.,
2006; Toyoda et al., 2017). As hypothesized, wetting caused a shift in the
N<inline-formula><mml:math id="M491" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O production pathways relative to the dry condition, and this shift to a
higher SP (preferentially enriched on the central N atom) was short-lived
like the N<inline-formula><mml:math id="M492" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O emission pulse and relaxed back to pre-wetting levels in less
than 2 d. These patterns show that the microbial (denitrification) and
abiotic (chemodenitrification) pathways vary on long (days) and short
(minutes/hours) timescales at this depth. This information can help guide
when to collect soil cores to dig deeper into the mechanistic drivers
through offline analytical approaches.</p>
      <p id="d1e6029">Diverse VOC compounds in the subsurface responded to a shift from soil
anoxic to oxic conditions (Sect. 3.3.2). Redox shifts drive biochemical
conversions driven by abiotic reactions (Lin et al., 2021) and
microbial respiration or fermentation metabolism in soil (Peñuelas et al., 2014). As hypothesized, the temporal dynamics of
various VOCs and small molecules (N<inline-formula><mml:math id="M493" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, CO<inline-formula><mml:math id="M494" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) differed, including several
fast-responding short-lived pulses and other slow, steady shifts over the
2.5 d measurement period. Numerous microbial metabolic pathways produce
volatile molecules that reflect loss in metabolic pathways and can be
difficult to capture with existing metabolomics methods (Honeker
et al., 2021; Schulz-Bohm et al., 2015). Our system displayed the potential
to capture hot moments of trace gas production that did not parallel steady
rises in total microbial activity, for example as reflected by increases in
heterotrophic soil respiration (CO<inline-formula><mml:math id="M495" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions) with oxic conditions. Small
molecules and VOCs contribute to soil nutrient cycling and therefore serve
as valuable markers of different and highly specific microbial activity
(Schulz-Bohm et al., 2015). For example geosmin and
methylisoborneol are produced by actinomycetales (Citron et al.,
2012; Peñuelas et al., 2014) under anoxic conditions, while sulfurous
VOCs are produced in micro-anoxic sites in soil. Capturing a wide array of
volatiles involved in microbial metabolism will increase the understanding
of the impact and role of microbial VOC cycling in pedosphere–atmospheric
interactions.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e6069">Versatile trace gas sampling systems that integrate soil probes and high-resolution trace gas analyzers bridge an existing gap in spatial
(centimeters) and temporal (minutes) measurements of in situ concentrations
and isotopic signatures of soil trace gases. We demonstrated the feasibility
and versatility of an automated multiprobe analysis system for soil gas
measurements of isotopic ratios of nitrous oxide (<inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N, and the <inline-formula><mml:math id="M498" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N site preference of N<inline-formula><mml:math id="M499" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O), methane (<inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C), and
VOCs, all important gas-phase indicators of biological activity. This study
showed that (1) the system has the potential to be used with other gas and
isotope analyzers, (2) there was no evidence of any interference during the
TILDAS–Vocus PTR-MS inline measurements, and (3) the nitrous oxide analyzer
configuration achieved a reduced concentration dependency allowing
determination of N<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O isotopic measurements over a larger range in
concentration. Importantly, the sampling system captured fluctuations in
subsurface gas concentrations and isotopologues in response to rapid changes
in environmental conditions. Specifically, it revealed dynamics of microbial
metabolism that drive hot moments of gas emissions under variable soil
moisture and redox conditions. These tests demonstrate the potential of<?pagebreak page182?> this
approach to reveal interconnections between the soil microbiome, its local
environment, and the atmosphere.</p>
      <p id="d1e6133">The outlook is bright for integrating soil gas measurements with other data
and models to unlock new understanding of soil microbial processes. Direct
sampling of soil for subsequent laboratory incubations and analysis using
multi-omics approaches is a sensitive and precise approach for identifying
subsurface microbial populations and their potential metabolic function.
Although both widely used approaches produce reliable and robust results,
they are labor-intensive and destructive and incompatible with generating a
well-resolved spatially dependent and time-dependent understanding of microbial
activity in natural ecosystems. Similarly, current soil gas sampling
methodologies face challenges in addressing the gap between time–space sampling
(e.g., frequency and intensity), low bias in downstream analysis, and a need for proper
reference materials. Isotopic signatures of trace soil gases, in conjunction
with genomic and metabolomics approaches, can elucidate real-time biomarkers
of microbial metabolisms in soil, leading to a better understanding of soil
heterogeneity as a modulator of soil–microbe interactions and their
responses to environmental factors and nutrient cycling. These efforts will
help scale up soil trace gas monitoring and quantification of
biogeochemical processes to improve soil modeling, soil management
decisions, and soil health with high spatial and temporal resolutions.</p>
</sec>

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

      <p id="d1e6140">Igor software was used under license. Igor scripts were
used for data processing and analysis including Aerodyne Research Inc.
proprietary scripts for parsing and averaging data and cannot be in a public
repository. Other portions of Igor code used for plotting are available upon
request. Raw measurement files (e.g., TILDAS and Vocus spectra) will be made
available upon request. Processed data can be found at <ext-link xlink:href="https://doi.org/10.25422/azu.data.13383014" ext-link-type="DOI">10.25422/azu.data.13383014</ext-link> (Gil Loaiza et al., 2021).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e6146">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-19-165-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-19-165-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e6155">All authors made substantial contributions to the
research. THMV, LKM, JRR and JHS conceptualized the idea and
acquired funding. All authors participated in part or fully in developing
prototypes, building experimental systems, and conducting experiments.
JGL, LKM, JRR, and JHS contributed to the analyses and interpretation
of data; JGL and LKM prepared the draft; all authors discussed the
results and contributed to the final paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e6161">Aerodyne Research Inc. manufactures the TILDAS
instrumentation and commercializes the Vocus PTR-TOF for applications in
geosciences. Probes, sampling systems, and associated software are in
development.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e6167">This report was prepared as an account of work sponsored by an
agency of the United States Government. Neither the United States Government
nor any agency thereof, nor any of their employees, makes any warranty,
express or implied, or assumes any legal liability or responsibility for the
accuracy, completeness, or usefulness of any information, apparatus,
product, or process disclosed or represents that its use would not infringe
privately owned rights. Reference herein to any specific commercial product,
process, or service by trade name, trademark, manufacturer, or otherwise
does not necessarily constitute or imply its endorsement, recommendation, or
favoring by the United States Government or any agency thereof. The views
and opinions of authors expressed herein do not necessarily state or reflect
those of the United States Government or any agency thereof.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e6176">Till H. M. Volkmann was supported by Biosphere 2 through the office of the
Senior Vice President for Research, Innovation and Impact at the University
of Arizona. We thank Doug White and White Industries, Inc., for machining the
probes. The authors gratefully acknowledge financial support from the
Philecology Foundation for Biosphere 2 and the Landscape Evolutionary
Observatory.  Shuhei Ono at the Massachusetts Institute of Technology
has shared with us calibrated reference gases for this study.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e6181">This research has been supported by the US Department of Energy, Office of Science, Small Business Innovation Research (SBIR) grant (award no. DE-SC0018459).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e6187">This paper was edited by Nicolas Brüggemann and reviewed by Daniel Epron, Albrecht Neftel, and two anonymous referees.</p>
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