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  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-19-5337-2026</article-id><title-group><article-title>Exploring the feasibility of an air sensor array for real-time detection and characterization of VOCs</article-title><alt-title>Feasibility of an air sensor array for real-time detection and characterization of VOCs</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff4">
          <name><surname>Gao</surname><given-names>Amanda</given-names></name>
          <email>amanda.gao@usda.gov</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5 aff6">
          <name><surname>Goss</surname><given-names>Matthew B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2688-5463</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff7">
          <name><surname>Helstrom</surname><given-names>Erik</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Hagan</surname><given-names>David H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Kroll</surname><given-names>Jesse H.</given-names></name>
          <email>jhkroll@mit.edu</email>
        <ext-link>https://orcid.org/0000-0002-6275-521X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>QuantAQ Inc., Somerville, MA 02143, USA</institution>
        </aff>
        <aff id="aff4"><label>a</label><institution>current address: Food Safety and Inspection Service, US Department of Agriculture, Raleigh, NC 27609, USA</institution>
        </aff>
        <aff id="aff5"><label>b</label><institution>current address: Cooperative Institute for Research in Environmental Sciences, University of Colorado-Boulder, Boulder, CO 80309, USA</institution>
        </aff>
        <aff id="aff6"><label>c</label><institution>current address: NOAA Chemical Sciences Laboratory, Boulder, CO 80305, USA</institution>
        </aff>
        <aff id="aff7"><label>d</label><institution>current address: Institute of Research on Catalysis and Environment, Claude Bernard University Lyon 1, Villeurbanne 69100, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Amanda Gao (amanda.gao@usda.gov) and Jesse H. Kroll (jhkroll@mit.edu)</corresp></author-notes><pub-date><day>13</day><month>August</month><year>2026</year></pub-date>
      
      <volume>19</volume>
      <issue>15</issue>
      <fpage>5337</fpage><lpage>5352</lpage>
      <history>
        <date date-type="received"><day>1</day><month>January</month><year>2026</year></date>
           <date date-type="rev-request"><day>15</day><month>January</month><year>2026</year></date>
           <date date-type="rev-recd"><day>20</day><month>May</month><year>2026</year></date>
           <date date-type="accepted"><day>5</day><month>July</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Amanda Gao et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026.html">This article is available from https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e165">Volatile organic compounds (VOCs) are an important class of atmospheric chemical species that can be directly harmful to human health and contribute to the formation of hazardous secondary products. Measurements of ambient VOCs are traditionally made using “offline” techniques, which are well-suited for distributed measurements but have low time resolution. They can also be made with real-time measurements using state-of-the-art in situ instruments, which have high precision and time resolution, but tend to be expensive and so cannot be deployed in a widespread manner. An alternative VOC measurement approach that is both real-time and lower in cost would open the possibility of widespread, spatially distributed measurements of VOCs in air quality and atmospheric chemistry contexts. While there are several commercially available air sensors that are sensitive to environmental VOCs, these sensors are “broadband,” meaning that each can only output a single scalar value that reflects the sensitivity of the sensor toward a wide and poorly defined range of VOCs. As a result, VOC air sensors have, to date, seen limited use in research. Here, we investigate the feasibility of a novel method for measuring speciated VOCs that uses an array of such broadband sensors. This array includes VOC air sensors representing three fundamentally different sensor types, and takes advantage of operational parameters that achieve a diversity of responses amongst sensors with the same type. Within a controlled laboratory setting, we obtained calibration curves for ten typical atmospheric VOCs between 5 and 100 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> and explored the effects of varying RH and introducing binary mixtures on sensor responses. Overall, we found that all observed sensor responses can be parameterized with linear or power-law models, consistent with results of prior studies and expectations based on physical sensing principles. Our results show that each of the 12 sensors in our array appear to have their own unique sensitivities to various VOCs, resulting in distinctive “fingerprints” of array responses for each compound tested. However, we also show that interferences by water vapour and other gases pose substantial challenges that likely cannot be fully addressed in the laboratory. Thus, co-location with a reference instrument in the field may first be required if this measurement approach is to yield quantitative, chemically specific information about ambient VOCs in indoor or outdoor environments.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Alfred P. Sloan Foundation</funding-source>
<award-id>G-2018-11096</award-id>
</award-group>
<award-group id="gs2">
<funding-source>U.S. Environmental Protection Agency</funding-source>
<award-id>RD-84042501</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e185">Measurements of atmospheric pollutants are crucial for improving our understanding of atmospheric chemistry, managing air quality, and estimating exposure to compounds that negatively affect human health. Traditionally, real-time measurements of indoor and outdoor atmospheric pollutants are made using reference instruments with high precision, sensitivity, and accuracy. However, these instruments can be prohibitively expensive in terms of cost and operating requirements. Even regions with well-developed monitoring infrastructure struggle to systematically measure the smaller, sub-regional differences in exposure (e.g., variations across cities or neighbourhoods, or even across “micro-environments” such as the home, office, or transit) that have significant effects on personal exposure and risk (Hossain et al., 2022). The high cost of these instruments also contributes to inequities in measuring air pollution: for example, air pollution disproportionately impacts low-and middle-income countries (GBD 2019 Risk Factors Collaborators, 2020) yet these regions are the most likely to have an air quality data gap (Pinder et al., 2019). To fill these knowledge gaps, many researchers and regulatory bodies have begun using air sensors to make atmospheric pollutant measurements. Here, we specifically refer to sensors that have a purchase cost at least one order of magnitude lower than that of a reference instrument measuring the same pollutant (Lewis et al., 2016). Such sensors have seen major technological improvements in the last two decades, and now can measure ambient levels of atmospheric pollutants in the parts-per-billion (ppb) range (Snyder et al., 2013). In addition to their lower cost, air sensors have the added benefits of occupying little physical space, drawing low power, and generally not requiring human intervention to operate. The high spatiotemporal resolution of air sensor measurements makes them good candidates for expanding our knowledge of air quality and chemistry via novel applications such as distributed sensor networks (Mao et al., 2019), personal exposure monitors (Xie et al., 2021), and multi-pollutant sensor arrays to identify pollutant sources or transformations (Crawford et al., 2021; Hagan et al., 2019).</p>
      <p id="d2e188">Air sensors have been extremely helpful in characterizing the concentrations of commonly-regulated pollutants, such as <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Badura et al., 2018), <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Baron and Saffell, 2017), <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> (Han et al., 2021), and <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Hagan et al., 2018). However, one important class of atmospheric trace species that has seen relatively little measurement by air sensors are volatile organic compounds (VOCs). VOCs are an important class of atmospheric compounds, emitted from numerous natural sources and human activities (Guenther et al., 1995). Exposure to VOCs can be directly harmful to human health, and emitted VOCs also form hazardous secondary products, including peroxides, ozone, and secondary organic aerosol (SOA). Measurements of ambient VOCs have traditionally been made using “offline” techniques, such as sorbent tube sampling for later analysis, which are suited for distributed measurements but suffer from low time resolution (Woolfenden, 1997). For decades, real-time measurements of ambient VOCs have been made via gas-chromatography mass-spectrometry (GC-MS), but GC-MS has limited sensitivity to certain compounds and often requires pre-concentration techniques that decrease effective time resolution (Lerner et al., 2017; Pellizzari et al., 1975). The relatively recent development of novel measurement methods, such as proton-transfer reaction mass spectrometry (PTR-MS), have enabled measurements of ambient VOCs with <inline-formula><mml:math id="M6" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> time resolution. However, instruments employing these state-of-the-art measurement techniques can be extremely large, energy-consumptive, and expensive. Hence, a feasible sensor-based alternative would open the possibility of widespread, time-resolved, and spatially distributed measurements of VOCs in air quality and chemistry contexts.</p>
      <p id="d2e248">While there are several different types of commercially available air sensors that can detect VOCs at ambient, parts-per-billion (ppb) mixing ratios, they are limited by their non-specific (“broadband”) nature: individual sensors output only a single scalar value that reflects a combination of different sensor sensitivities and selectivities toward a wide and poorly-defined range of VOCs (Spinelle et al., 2017). In other words, a single sensor output can be converted to an equivalent VOC mixing ratio by knowing a sensor's sensitivity to a particular VOC, but only if the sample air contains only that VOC. A single sensor's response to a VOC mixture cannot be converted to mixing ratio units without preexisting knowledge of the mixture's composition and a detailed understanding of the sensitivity of the sensor to all VOCs in the mixture (including any gas interaction effects). As a given airmass is likely to have many VOCs with highly variable and unpredictable compositions (Chen et al., 2019), the signal from a single VOC sensor is able to provide very little useful information about total VOC mixing ratios, and even less about VOC composition.</p>
      <p id="d2e251">A potential solution to this problem is to use multiple VOC sensors of differing selectivities. In theory, meaningful differences in responses from an array of different VOC sensors can be leveraged, via a pattern recognition algorithm, to gain useful information about the measured compound or mixture. This approach has been the linchpin of “electronic nose” studies that mostly aim to detect and classify VOC mixtures in odour detection, breath monitoring, or process control applications (Gardner and Bartlett, 1994; Lotesoriere et al., 2024; Vadera and Dhanekar, 2025). However, environmental VOCs pose a particular challenge for these applications: most “electronic noses” are designed to measure VOCs at high mixing ratios, generally tens or hundreds of parts-per-million (ppm), many orders of magnitude higher than the parts-per-billion (ppb) levels found in the atmosphere (Cheng et al., 2021; Gardner and Bartlett, 1994). The challenge of these measurements is further exacerbated by the complexity of atmospheric VOC sources, compositions, and variations (Luo et al., 2023; Yang et al., 2022; You et al., 2022), as well as sensor sensitivities to non-VOC gases and environmental parameters such as relative humidity and temperature (Spinelle et al., 2017).</p>
      <p id="d2e255">A handful of past studies have attempted to obtain quantitative measurements of sub-ppm VOC pollution sources by utilizing an array of different gas sensors to quantify specific VOCs, thus sidestepping the challenges posed by environmental VOC complexity. For example, methane has been an important target for several metal oxide (MOx) sensor arrays (Domènech-Gil et al., 2024; Furuta et al., 2022; Taguem et al., 2021), which applied machine learning regression algorithms to measurements from multiple MOx sensors to estimate variations in environmental methane mixing ratios. Benzene is another important VOC that air sensors can detect sensitively, and ambient mixing ratios of benzene measured near a major roadway were accurately estimated by a neural network model trained on measurements from five different MOx sensors (De Vito et al., 2008). Similarly, Collier-Oxandale et al. (2019) and Okorn and Hannigan (2021) used measurements from two different MOx sensors to develop regression models for key VOC species measured near an oil field, such as benzene, methane, toluene, and total VOC mixing ratios. While most of these arrays use only MOx sensors, some recent studies have leveraged multiple sensing technologies to measure target compounds. For example, Xu et al., 2022 used an array of four different metal oxide sensors, one photo-ionization detector, and one electrochemical sensor to measure elevated levels (0.5–5 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula>) of three VOCs (toluene, dichloromethane, and ethyl acetate). Similarly, Silberstein et al. (2024) used an electrochemical sensor in addition to several MOx sensors to quantify methane emissions from an oil well. These studies demonstrate the potential of air sensor arrays to generate quantitative, chemically specific VOC information. However, they are somewhat limited in scope: they focus on a small set of target VOCs and/or use only one measurement technology (e.g., metal oxide sensing) to make measurements.</p>
      <p id="d2e266">Here, we investigate the feasibility of using an air sensor array for measuring and characterizing ambient VOCs. We investigate the effectiveness of leveraging multiple different sensing technologies and examine the effects of varying operational parameters between otherwise identical sensors to obtain a larger array of distinct responses. We describe the simultaneous use of 12 distinct air sensors representing three different measurement technologies across multiple operational parameters. We also show laboratory characterization results for 10 key atmospheric VOCs (with mixing ratios from 5 to 100 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>), as well as data from a wide range of relative humidities and binary mixtures. Finally, we discuss these results in the context of practical usage of this array for environmental monitoring, and evaluate the potential for this method to provide useful, quantitative information about VOCs in realistic ambient conditions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sensing Principles</title>
      <p id="d2e292">Here, we investigate the simultaneous use of three different sensing technologies: metal oxide sensors (MOx), which measure target gas molecules that adsorb onto a metal oxide surface; photo-ionization detectors (PID), which ionize gas molecules with a small vacuum ultraviolet lamp, and amperometric electrochemical (EC) sensors, which detect gases via oxidation or reduction reactions. Each of these measurement techniques has at least one adjustable parameter that can be leveraged to obtain different VOC sensitivities between otherwise identical sensors.</p>
      <p id="d2e295">Metal oxide (MOx) sensors have long been a popular choice for sensor array applications because of their particularly low material cost and relatively high sensitivity to VOCs (Cheng et al., 2021). MOx sensors measure VOCs using adsorption: gas species are chemisorbed onto the sensor surface, and the resultant band-bending by these charged molecules changes the measured conductivity (Barsan and Weimar, 2001). MOx sensors can vary in the materials or morphologies used for the semiconducting sensing layer, which can greatly affect sensing properties: past studies on MOx sensor arrays, such as those by De Vito et al. (2008) or Collier-Oxandale et al. (2019), have relied on the use of sensors with manufactured differences (e.g. distinct semiconductor properties) to introduce distinctions in sensor sensitivity that can then be exploited using pattern recognition techniques. When using an array of identical sensors rather than fundamentally different ones, it is possible to achieve differences in sensitivity and/or selectivity by varying the operation temperature (controlled by supplied voltage) of each sensor, as this affects the relationship between sensor conductance and analyte gas partial pressure (Barsan and Weimar, 2001). In fact, temperature control has been shown to increase both MOx array sensitivity (He et al., 2025) and selectivity (Srivastava and Dravid, 2006) to VOCs, including common indoor VOCs in the <inline-formula><mml:math id="M10" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula> range (Baur et al., 2021; Leidinger et al., 2014).</p>
      <p id="d2e313">Photo-ionization detectors (PIDs), pioneered by James Lovelock to measure trace vapours in the atmosphere (Lovelock, 1960), rely on ionization of target molecules by a vacuum ultraviolet (VUV) lamp to induce a measurable change in electric potential that is proportional to the concentration of target gas. 10.6 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula> PIDs have previously been used to sense VOCs in disinfectant products with concentrations of <inline-formula><mml:math id="M13" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 200 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> (Ding et al., 2023), and as input for machine learning models that predict total VOC concentration and OH reactivity for ambient air with moderate accuracy (Yang et al., 2026). In theory, an array of PIDs, each containing miniature lamps of different VUV wavelengths, would be able to discriminate VOCs based on differences in ionization energy and VUV cross-sections amongst the target species. Unfortunately, PID specifications are currently limited by the state of the technology: lamps at only a small handful of wavelengths are commercially available, with 9.6, 10.0, and 10.6 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula> being common options.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e351">Summary of VOC air sensors used in the array.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sensing</oasis:entry>
         <oasis:entry colname="col2">Number of</oasis:entry>
         <oasis:entry colname="col3">Manufacturer</oasis:entry>
         <oasis:entry colname="col4">Model Name</oasis:entry>
         <oasis:entry colname="col5">User-Applied Parameters</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Technology</oasis:entry>
         <oasis:entry colname="col2">Sensors</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">EC</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">Alphasense Ltd.</oasis:entry>
         <oasis:entry colname="col4">VOC-B1 (EC Type 1)</oasis:entry>
         <oasis:entry colname="col5">Bias Voltage (1 each at 0 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M17" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>300 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EC</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">Alphasense Ltd.</oasis:entry>
         <oasis:entry colname="col4">ETO-B1 (EC Type 2)</oasis:entry>
         <oasis:entry colname="col5">(No bias voltage)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PID</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">ION Science Ltd.</oasis:entry>
         <oasis:entry colname="col4">MiniPID 2 (10.0 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PID</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">ION Science Ltd.</oasis:entry>
         <oasis:entry colname="col4">MiniPID 2 (10.6 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PID</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">ION Science Ltd.</oasis:entry>
         <oasis:entry colname="col4">MiniPID HS (10.0 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MOx</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">Figaro Engineering, Inc.</oasis:entry>
         <oasis:entry colname="col4">TGS 2600  (MOx Type 1)</oasis:entry>
         <oasis:entry colname="col5">Supply voltage (1 each at 4.75, 5.0, and 5.25 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MOx</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">Figaro Engineering, Inc.</oasis:entry>
         <oasis:entry colname="col4">TGS 2602  (MOx Type 2)</oasis:entry>
         <oasis:entry colname="col5">Supply voltage (1 each at 4.75, 5.0, and 5.25 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e596">Electrochemical (EC) sensors, also known as amperometric sensors, rely on a reduction-oxidation (redox) reaction between a target gas and an aqueous acid electrolyte. Due to their high sensitivity and selectivity, they have been widely used in air quality monitoring of major inorganic pollutants such as ozone and <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Hagan et al., 2018; Lewis et al., 2016). The sensitivities of a given EC sensor to various VOCs can be adjusted via application of a bias voltage, or a potential difference between the working and reference electrodes (Baron and Saffell, 2017). EC sensors that measure VOCs non-specifically have commonly been marketed for personal protection and industrial hygiene applications, but recent advancements in technology have allowed for usage in some atmospheric and air quality contexts (Mayer et al., 2025; Silberstein et al., 2024).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Sensor Array Design</title>
      <p id="d2e618">To investigate the utility of multiple VOC sensing technologies and operational parameters, we constructed a custom-built sensor array that includes 12 distinct VOC sensors, with a simplified schematic shown in Fig. 1. The array includes three EC sensors, with one Alphasense ETO-B1 sensor and two Alphasense VOC-B1 sensors, one run without bias voltage and the other with a positive bias voltage; three PIDs, including one ION Science MiniPID 2 10.0 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula>, one ION Science MiniPID 2 10.6 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula>, and one ION Science iniPID High Sensitivity (HS) 10.6 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula>, which achieves “high sensitivity” over the normal 10.6 PID via improvements to the sensor membrane; and six metal oxide sensors, with two different sensor models (Figaro TGS2602 and Figaro TGS2600, both <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sensors that differ in the catalyst used in their sensing materials), each run at three different supply voltages (4.75, 5.0, and 5.25 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula>). The chosen sensors are not known to be sensitive to non-VOC gases (Spinelle et al., 2017). Table 1 summarizes the sensors used in this design and any user-controlled parameters that were applied. At the time of purchase (late 2021), the material cost of all 12 sensors was <inline-formula><mml:math id="M30" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> USD 2000, with most of this cost made up by PIDs (with an average cost of <inline-formula><mml:math id="M31" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> USD 540 each). This total cost is higher than a typical sensor array application but is still orders of magnitude lower than the cost of a mass spectrometric instrument.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e681">Schematic of the VOC air sensor array. Sample air is pulled in by a miniature diaphragm pump through custom flow cells that house 12 different VOC sensors. Several custom circuit boards manage power and sensor inputs/outputs.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026-f01.png"/>

        </fig>

      <p id="d2e690">Air is drawn into the instrument by a miniature diaphragm pump (Xavitech v200) at a user-controlled rate that can be varied from 0–400 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; in this study it is set at 300 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Sample air travels through PFA tubing (0.25 in. inner diameter, 0.19 in. outer diameter), into custom-made Teflon flow cells (EC flow cell has dimensions 15.0 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M35" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 3.81 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M37" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.90 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>, MOx/PID flow cell has dimensions of 13.5 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M40" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 3.81 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M42" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.90 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>), with flow perpendicular to the sensor surfaces. After the sample air is expelled from the pump, it passes through a 3D-printed enclosure containing a relative humidity (RH) and temperature (<inline-formula><mml:math id="M44" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) sensor (Sensiron SHT25) before being exhausted from the instrument. This enclosed flow-through system was chosen to enable direct introduction of known gases to the instrument (e.g. zero air for baseline measurements in the field) and better control of key environmental variables (e.g. RH), but an open system design could instead be used for passive measurements of ambient air. The design of this instrument maintains airtightness via O-rings that are flush against the sensor surfaces and mounting bolts that secure breakout circuit boards to the flow cells. Sensors are not permanently secured to either the flow cells or their respective breakout circuit boards, allowing for easy replacement of any single sensor. The fully assembled instrument is housed inside a container with dimensions 42.2 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M46" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 37.1 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M48" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 21.0 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> (PolyCase ZH-161407); this is much larger than necessary but was chosen to aid in troubleshooting this prototype instrument.</p>
      <p id="d2e858">The entire device is powered by mains electricity (12 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula> AC/DC converter) and controlled using an LTE-enabled microcontroller (Particle B Series SoM), which is used in conjunction with its manufacturer's evaluation circuit board (Particle M2EVAL). Several custom circuit boards manage sensor input and outputs, as well as associated analog-to-digital or digital-to-analog conversion; there is also a power management circuit board that supplies lines at 3.3 V, 5.0 V, and two variable values (intended for varying MOx supply voltages) that can be adjusted from 0.64 to 5.25 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula> via user input to a synchronous buck regulator (MIC24045). Total power draw of the instrument is highest on startup, where the microcontroller alone requires <inline-formula><mml:math id="M52" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi></mml:mrow></mml:math></inline-formula>. However, during regular operation most components have negligible power draw, but there are relatively large requirements from the pump (<inline-formula><mml:math id="M54" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.3 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi></mml:mrow></mml:math></inline-formula>), photo-ionization sensors (<inline-formula><mml:math id="M56" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.3 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi></mml:mrow></mml:math></inline-formula>), microcontroller (<inline-formula><mml:math id="M58" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi></mml:mrow></mml:math></inline-formula>), and metal oxide sensors (<inline-formula><mml:math id="M60" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi></mml:mrow></mml:math></inline-formula>), resulting in <inline-formula><mml:math id="M62" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi></mml:mrow></mml:math></inline-formula> of total power draw.</p>
      <p id="d2e969">Data from all sensors are oversampled at <inline-formula><mml:math id="M64" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> before being averaged down to 1 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>. This is substantially faster than the sensor response times, but oversampling helps remove artifacts caused by electrical noise. The 1 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data is then logged to a local micro-SD card, and the 1 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> averages of the 1 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data are computed and transmitted via 3G LTE to the cloud, where they are automatically processed and stored.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Laboratory Characterization Setup</title>
      <p id="d2e1028">A schematic diagram of the experimental setup for characterizing sensor array responses to <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> levels of VOCs is shown in Fig. 2a. To achieve low and reliable VOC mixing ratios, we used headspace sampling, in which a liquid VOC is placed in a sealed vial leaving sufficient room over the liquid, from which volatilized gas is sampled after phase equilibration. The mixing ratio of the VOC in the gas phase at equilibrium was calculated using the compound's temperature-dependent vapour pressure. We used ten VOCs, all supplied by Sigma-Aldrich: 1-hexene (purity <inline-formula><mml:math id="M71" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99.0 %), 1-octene (<inline-formula><mml:math id="M72" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 99.5 %), 2-pentanone (<inline-formula><mml:math id="M73" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 99.5 %), 2-heptanone (<inline-formula><mml:math id="M74" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 99.0 %), acetone (<inline-formula><mml:math id="M75" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 99.5 %), <inline-formula><mml:math id="M76" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene (<inline-formula><mml:math id="M77" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 98.0 %), chlorobenzene (<inline-formula><mml:math id="M78" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 99.9 %), isoprene (<inline-formula><mml:math id="M79" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 99.0 %), <inline-formula><mml:math id="M80" display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene (<inline-formula><mml:math id="M81" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 99.0 %), and toluene (<inline-formula><mml:math id="M82" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 99.8 %). This list, based on the “chemical cocktail” used in a recent indoor chemistry experimental intensive (Farmer et al., 2025), includes VOCs from both natural and anthropogenic sources, and that contain several different functional groups. For each experiment, we used a gas-tight syringe to obtain a headspace VOC sample at 25 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, then placed the syringe into a computer-controlled syringe pump (Harvard Apparatus PHD Ultra), with the syringe needle inserted into a heated inlet maintained at 50 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> to prevent condensation onto the tubing walls. A dilution stream of zero air (AADCO Model 737) was also supplied to the inlet at 10 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (with sample overflow managed by a tee fitting), and mass flow controllers (MKS) were used to adjust the humidity of this dilution stream by varying the ratio of dry air to air humidified by a bubbler. The syringe pump was then run with a preset, non-monotonic sequence of calibration levels, with each level being held for 25 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>. This sequence was preceded and followed by 30 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> of zero air for baseline correction. Finally, after the calibration sequence was completed, the syringe was flushed with zero air several times before the next injection. An example calibration sequence, with sample sensor responses, is shown in Fig. 2b.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e1181"><bold>(a)</bold> Schematic of the experimental apparatus. The VOC calibration gas system consists of gas-phase VOC obtained via headspace sampling that is then loaded into a gas-tight syringe and injected using a computer-controlled syringe pump. This is then diluted by a stream of zero air that can be humidified by a bubbler. The total flow is 10 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">lpm</mml:mi></mml:mrow></mml:math></inline-formula>, with sample air vented before reaching the instruments. <bold>(b)</bold> Example calibration sequence for a sample VOC (isoprene at 35 % RH), with compound concentration shown in the top panel by the dotted black line. Sample responses from one PID (HS PID), EC (EC Type 1, no bias), and MOx (MOx Type 1, 5.0 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula>) sensor from the array are shown in the lower panels. Note that <inline-formula><mml:math id="M90" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axes do not start at 0, and that this sequence spans 0 to 200 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> for demonstration purposes.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026-f02.png"/>

        </fig>

      <p id="d2e1226">From each calibration sequence, we average the steady-state values of sensor responses and derive a calibration curve, or sensor signal as a function of mixing ratio. Sensor responses do not respond immediately to changes in mixing ratio, and calculated time constants fell within a wide range of values (0.5–10 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and appear to depend on the specific compound, sensor, and magnitude of the mixing ratio step change. A detailed characterization of these time constants is beyond the scope of this study. Instead, we ignore the transient nature of these sensor responses by holding each mixing ratio level for at least 20 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> and generating points in the calibration curve by averaging the last 5 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> of sensor responses for each mixing ratio. Sensor responses are described in terms of net change in signal (increase over baseline). We chose to prioritize characterization of signal changes (sensitivities) over characterization of baseline values, as we expect that most practical applications of these sensors will involve baseline removal prior to data analysis. Characterization of baseline changes and drift, which are expected to vary with the humidity and composition of background air (Wang et al., 2010; Wei et al., 2018), is beyond the scope of this work but would be a useful target for future research. In our dataset, most baseline values were removed by a simple background subtraction. Some experiments showed mild drift between beginning and end values (<inline-formula><mml:math id="M95" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 2 % of the difference between signal at 100 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> and beginning background signal), usually caused by changes to relative humidity over the course of the experiment. In these situations, the PID and EC baseline was identified and removed using the BaselineRemoval Python library (v1.0.5). The results from two different modified second-degree polynomial fits (ModPoly, Lieber and Mahadevan-Jansen, 2003, and IModPoly, Zhao et al., 2015) were calculated, and the best of these methods was identified by minimizing calibration curve fit error.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1277">Summary of sensor responses (in <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi></mml:mrow></mml:math></inline-formula> over baseline) to various VOC mixing ratios between 5–100 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> at 30 % RH. Dotted lines represent the linear least-squares regression (PID and EC) or the power-law fit (MOx) of the measured values, denoted by triangles. Note that <inline-formula><mml:math id="M99" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axes are not shared across panels, reflecting the wide range of sensitivities across sensors. If a compound is missing from a sensor's subplot, as is the case with EC sensors, it means that the sensor does not exhibit sensitivity to that compound above its baseline noise. Error bars denote the standard deviation of measurements taken for each data point.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026-f03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Sensor Array Responses to Individual VOCs</title>
      <p id="d2e1325">Sensor responses to 10 VOCs, broadly representative of those found in the atmosphere, were obtained in the range of 5 to 100 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> at a constant relative humidity of 30 % and a temperature of 22 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. While these mixing ratios are higher than typical outdoor ambient levels, they are relevant to environments such as indoor air (Brown et al., 1994) and wildfire smoke (Liang et al., 2022) where VOC levels can exceed 10s of <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>. The sensor responses to these compounds (1-hexene, 1-octene, 2-pentanone, 2-heptanone, acetone, <inline-formula><mml:math id="M103" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, chlorobenzene, isoprene, <inline-formula><mml:math id="M104" display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene, and toluene) are summarized in Fig. 3 and Table S1 in the Supplement. In many cases a given sensor exhibits low (even negligible) sensitivity to a given VOC; in the discussion below, we consider a sensor to “detect” a compound if a calibration curve can be fit to a nonzero sensitivity with at least 1<inline-formula><mml:math id="M105" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> confidence.</p>
      <p id="d2e1376">All photo-ionization detectors (PIDs) consistently exhibited a linear signal-to-mixing ratio response across this range of mixing ratios, and this linearity is consistent with the results of prior studies on these sensors (Freedman, 1980; Lovelock, 1960). The “high-sensitivity” (HS) PID (10.6 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula>) was able to detect all 10 compounds, with sensitivities ranging from 5.0 <inline-formula><mml:math id="M107" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup> (<inline-formula><mml:math id="M109" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M110" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup>) <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M113" display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene to 1.8 (<inline-formula><mml:math id="M114" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 4.6 <inline-formula><mml:math id="M115" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup>) <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for acetone. (All reported confidence intervals are <inline-formula><mml:math id="M118" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M119" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>). Sensitivities for the other two PIDs (ION science MiniPID 10.0 and 10.6 <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula> sensors) were substantially lower, with a range of 6.0 <inline-formula><mml:math id="M121" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> (<inline-formula><mml:math id="M123" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 3.0 <inline-formula><mml:math id="M124" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) to 3.3 <inline-formula><mml:math id="M126" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup> (<inline-formula><mml:math id="M128" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 7.2 <inline-formula><mml:math id="M129" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup>) <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the 10.0 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula> PID, and 1.7 <inline-formula><mml:math id="M133" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup> (<inline-formula><mml:math id="M135" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 3.0 <inline-formula><mml:math id="M136" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) to 8.1 <inline-formula><mml:math id="M138" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup> (<inline-formula><mml:math id="M140" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 2.0 <inline-formula><mml:math id="M141" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup>) <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the 10.6 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula> PID. Unlike the high-sensitivity PID, neither sensor detected the full set of compounds.</p>
      <p id="d2e1757">Signals from the EC sensors were also linear with mixing ratio, as reported previously (Mead et al., 2013). However, in contrast to PIDs, they detected only a subset of compounds and exhibited lower sensitivities. EC Type 1 (Alphasense VOC-B1 EC sensor) detected five compounds, with sensitivities ranging from 6.6 <inline-formula><mml:math id="M145" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> (<inline-formula><mml:math id="M147" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 3.6 <inline-formula><mml:math id="M148" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (toluene) to 1.0 <inline-formula><mml:math id="M151" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup> (<inline-formula><mml:math id="M153" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.2 <inline-formula><mml:math id="M154" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup>) <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (isoprene). Application of a positive bias voltage generally increased sensor sensitivity to detected compounds: for example, the sensitivity of the biased sensor to isoprene was determined to be 2.7 <inline-formula><mml:math id="M157" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup> (<inline-formula><mml:math id="M159" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 8.0 <inline-formula><mml:math id="M160" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup>) <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, nearly triple the value of the unbiased sensor. However, the biased sensor exhibited significant baseline drift, leading to larger uncertainties in sensitivities and potentially masking the sensor response to some compounds (1-hexene and <inline-formula><mml:math id="M163" display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene) that the unbiased sensor was able to detect reliably. The second EC type in our array (Alphasense ETO-B1), measured three compounds with sensitivities ranging from 1.1 <inline-formula><mml:math id="M164" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup> (<inline-formula><mml:math id="M166" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 2.2 <inline-formula><mml:math id="M167" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (1-octene) to 1.1 <inline-formula><mml:math id="M170" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup> (<inline-formula><mml:math id="M172" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 6.4 <inline-formula><mml:math id="M173" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (isoprene). The VOC sensitivities of the Type 2 sensor are very close in absolute value to the sensitivities of the unbiased Type 1 sensor, but the Type 2 sensor detects fewer compounds than the unbiased Type 1 sensor does.</p>
      <p id="d2e2082">Each metal oxide (MOx) sensor detected all ten compounds, but with distinctly nonlinear calibration curves. A power-law relationship describes the observed signals well, and is consistent with MOx physical sensing principles which predict a power law relationship based on the kinetics of MOx surface reactions and a balance on the availability of surface sites (Barsan and Weimar, 2001). The observed responses, in terms of change in voltage over baseline, can be expressed as <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>V</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M177" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">VOC</mml:mi></mml:mrow><mml:msup><mml:mo>]</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M179" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is a measure of sensitivity (in <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M181" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> is a dimensionless power-law parameter. Averaged MOx calibration points were fit to this expression using a nonlinear least-squares regression. Many MOx sensor studies report signal in terms of a resistance ratio <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M183" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the sensor resistance to a target gas and <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the baseline resistance of the sensor in clean air; we choose to report output voltage to stay consistent with the other sensors in the array. The relationship between output voltage and the resistance ratio can be generally described with <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>∝</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mtext>out</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>out</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the output voltage and <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the measurement circuit voltage (equal to 5 <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula> for all our sensors).</p>
      <p id="d2e2250">The two models of metal oxide sensors have very different sensitivity ranges to the VOCs tested: MOx Type 1 (TGS2600) responses was most sensitive to isoprene, with a sensitivity of 22 (<inline-formula><mml:math id="M189" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 5.1) <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (with <inline-formula><mml:math id="M191" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M192" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.70 <inline-formula><mml:math id="M193" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.040), while MOx Type 2 (TGS2602) was most sensitive to <inline-formula><mml:math id="M194" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, with a sensitivity of 140 (<inline-formula><mml:math id="M195" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 29) <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M197" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M198" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.67 <inline-formula><mml:math id="M199" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.040). Further differences in sensitivity were achieved by varying the circuit voltage applied to individual sensors, which changes the operating temperature of each sensor. We observe that both the sensitivity <inline-formula><mml:math id="M200" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> and the power law parameter <inline-formula><mml:math id="M201" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> vary significantly between sensors, but we were unable to generalize the relationship between these parameters and applied voltage across all compounds. This finding is consistent with the results of Wang et al. (Wang et al., 2010), who observed that the dependence of MOx VOC sensitivities on operating temperature is non-monotonic and compound-specific.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2368">Summary of sensor responses to 10 different VOCs at 10 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>. Sensitivities are given as a percentage of the maximum observed response for each individual sensor across all VOCs tested. Each subplot represents sensor responses to a single calibration sequence. Error bars are calculated using propagation of the 1<inline-formula><mml:math id="M203" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> measurement errors shown in Fig. 3: if a sensor has a response of <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi></mml:mrow></mml:math></inline-formula>) to a certain compound, and has a maximum response of <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>y (<inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi></mml:mrow></mml:math></inline-formula>), then the error <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> of the fractional response <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:mi>y</mml:mi></mml:mrow></mml:math></inline-formula> is calculated from <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M211" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mi>z</mml:mi><mml:mo>[</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:mi>x</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>y</mml:mi><mml:mo>/</mml:mo><mml:mi>y</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msup><mml:mo>]</mml:mo><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026-f04.png"/>

        </fig>

      <p id="d2e2531">Figure 4 summarizes the responses of the array to all ten compounds at 10 <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>, with signals normalized to each sensor's maximum observed response (<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>V</mml:mi></mml:mrow></mml:math></inline-formula>) across all VOCs tested (note that the relative scaling of sensor responses is impacted by the high measurement error from the biased EC Type 1 sensor). In general, we observe that all ten compounds are detected by sensors that represent at least two distinct sensor types. Across compound types, there are some clear differences in overall array sensitivity: for example, alkenes are well-detected, while aromatics are not. Moreover, each compound has a unique “fingerprint” of relative sensor responses, even when compounds are chemically similar: for example, the array's response to 1-hexene can clearly be distinguished from the response to 1-octene. Figure 4 indicates that different sensing technologies, as well as variations within the same sensing technology, exhibit different responses to VOCs, with each of the 12 sensors exhibiting their own unique sensitivities to various VOCs. Such “fingerprints” could be good candidates for pattern recognition techniques, such as linear discriminant analysis and support vector machines that have previously been used to classify and quantify VOCs (Rath et al., 2023). From this dataset, we are unable to identify broad patterns in sensor array response for different VOCs, due in part to the relatively limited set of VOCs tested. Nonetheless, Fig. 3 shows that an array of “broadband” sensor responses can indeed be used to distinguish different VOCs.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2554">Sensitivities (in <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) of 3 PIDs (top row) and 3 EC sensors (bottom row) to isoprene and <inline-formula><mml:math id="M216" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene as a function of RH. Vertical bars denote 1<inline-formula><mml:math id="M217" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> confidence intervals. Note that each panel features a different <inline-formula><mml:math id="M218" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026-f05.png"/>

        </fig>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2604">MOx responses to isoprene (circles) and <inline-formula><mml:math id="M219" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene (triangles), plotted in the parameter space of the power-law parameter. The dotted black line gives the best fit line for all data measured for MOx Type 2.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Sensor Array Responses as a Function of Relative Humidity</title>
      <p id="d2e2628">Environmental parameters (temperature and relative humidity) are known to impact air sensor VOC measurements. Characterizing sensor responses to changing environmental temperature is beyond the scope of this study, as ambient temperature does not have a large effect on EC sensor or PID responses (Adamia et al., 1991; Hitchman and Saffell, 2021), though it could impact the baseline responses of MOx sensors (Figaro USA Inc., 2024a, b; Wang et al., 2010). To explore the effects of relative humidity (RH) on sensor responses, we obtained calibration curves between 5 and 100 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> for two VOCs (<inline-formula><mml:math id="M221" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and isoprene) across a wide range of RH values (0 %–90 %). Results are shown in Figs. 5 and 6.</p>
      <p id="d2e2646">Figure 5 shows the effect of RH on sensitivity for PID and EC sensors, both of which have linear calibration curves. The top row demonstrates the dramatic effect water vapour can have on PID responses. This decrease in sensor signal is likely explained by the absorption of UV radiation by water vapour, which reduces ionization efficiency (Liess and Leonhardt, 2003). While it has been reported that RH can also increase PID responses via water contamination of the sensor's electrodes, leading to an artificially high signal output due to short-circuiting (Scott, 2020), our results suggest that this is not a major effect for these PIDs. Instead, sensor responses generally decrease in a monotonic and nonlinear fashion with increasing RH. Moreover, the RH-induced decrease in sensitivity is more drastic for isoprene than it is for <inline-formula><mml:math id="M222" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, indicating that this effect is compound-specific. Because isoprene and <inline-formula><mml:math id="M223" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene are both alkenes, our results also highlight the unpredictable effects of RH even for chemically similar compounds. We would expect more chemically different species to have even larger differences in RH response and pose similar measurement problems. Unfortunately, the nonlinear and compound-specific relationship between PID sensitivity and RH does not seem to be easily parameterizable. Ultimately, while our PIDs may involve technologies that aim to prevent sensitivity decreases under high humidity conditions, these results suggest that PID responses can still be strongly and unpredictably dependent on RH.</p>
      <p id="d2e2663">The bottom row of Fig. 5 shows EC sensitivity to isoprene and <inline-formula><mml:math id="M224" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene as a function of RH. Unlike the PID sensors, EC sensors do not show clear trends with increasing RH for either compound. This is in contrast to previous work, which found that exposure to water vapour can affect responses because of RH-induced changes in the sensor electrolyte, affecting the kinetics and thermodynamics of electro-oxidation (Farquhar et al., 2021). Water vapour has also been found to affect long-term EC responses (Hitchman and Saffell, 2021), but such longer-timescale behaviour is beyond the scope of this study. EC signals were generally much noisier than those from other sensors, and thus any trends in sensitivity might be partially obscured by this high noise level. However, these results suggest that, without considering long-term effects, RH does not have a clear impact on EC sensitivity to these VOCs.</p>
      <p id="d2e2673">The effects of RH on MOx sensor responses are more complicated, due to changes in both power law response parameters. Figure 6 shows responses of one Type 1 and one Type 2 MOx (both operated at 5.25 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula>) to isoprene and <inline-formula><mml:math id="M226" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene at different RH values, in terms of the response parameters <inline-formula><mml:math id="M227" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M228" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> (the associated calibration curves are shown in Fig. S1 in the Supplement). For MOx sensors, an increase in humidity can cause decreased resistance and an increase in electron affinity, which induces compound-specific changes in response (Fine et al., 2010). This effect is dependent on the sensor's operating temperature, and should be less pronounced at higher temperatures (Bârsan and Weimar, 2003; Korotcenkov et al., 2007). We were particularly interested to see if changes in MOx response caused by RH changes could be parameterized in terms of the sensitivity <inline-formula><mml:math id="M229" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> and the power-law coefficient <inline-formula><mml:math id="M230" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>, as prior work suggests that <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sensors measuring certain organic compounds obey a simple relationship (<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mi>log⁡</mml:mi><mml:mo>(</mml:mo><mml:mi>A</mml:mi><mml:mo>)</mml:mo><mml:mo>∼</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:math></inline-formula>) under changing humidity (Chabanis et al., 2003). For MOx type 2 (right panel of Fig. 6), this relationship holds across relative humidity and compounds; moreover, in most cases an increase in RH causes an increase in the power law coefficient and a logarithmic decrease in the sensitivity. This suggests that, with more data, it may be possible to accurately predict the effect of changing RH on MOx Type 2 responses to VOCs; though this is expected to be heavily compound-specific, as certain VOCs do not exhibit this response behaviour (Chabanis et al., 2003). However, the relationship between fit parameters is markedly less clear for MOx type 1 (left panel of Fig. 5), as there does not appear to be a consistent relationship between increasing RH and <inline-formula><mml:math id="M233" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Sensor Array Responses to Binary Mixtures</title>
      <p id="d2e2764">Real-world environmental VOCs are almost always present within mixtures, which poses a measurement problem for non-specific VOC sensors such as the ones examined here. Additivity of air sensor responses to mixture components would help to simplify this problem, but because of the potential for cross-interferences between VOCs, such additivity is not a given. To investigate this, we exposed the sensor array to two different binary mixtures, each in two different ratios: 1-hexene and 1-octene (molar ratios of <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, representing very similar compounds), and <inline-formula><mml:math id="M236" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and 2-heptanone (molar ratios of <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, representing quite different compounds).</p>
      <p id="d2e2822">Figure 7 shows responses of the high-sensitivity PID to the 1-hexene/1-octene and <inline-formula><mml:math id="M239" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene/2-heptanone mixtures. (Figures S2 and S3 in the Supplement show the responses for additional PID and EC sensors, and Table S2 in the Supplement summarizes the fitted sensitivities to each mixture.)  For the high-sensitivity PID, the mixture measurement is consistent with linear additivity: sensitivity is 2.5 <inline-formula><mml:math id="M240" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−1</sup> (<inline-formula><mml:math id="M242" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 4.2 <inline-formula><mml:math id="M243" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup>) <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to 1-hexene and 1.2 <inline-formula><mml:math id="M246" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−1</sup> (<inline-formula><mml:math id="M248" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 2.1 <inline-formula><mml:math id="M249" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup>) <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to 1-octene, and the observed sensitivity to the <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> mixture is 1.7 <inline-formula><mml:math id="M253" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−1</sup> (<inline-formula><mml:math id="M255" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 2.3 <inline-formula><mml:math id="M256" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup>) <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (expected 1.8 <inline-formula><mml:math id="M259" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−1</sup> <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), while the observed sensitivity to the <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> mixture is 2.0 <inline-formula><mml:math id="M263" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−1</sup> (<inline-formula><mml:math id="M265" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 3.4 <inline-formula><mml:math id="M266" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup>) <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (expected 2.1 <inline-formula><mml:math id="M269" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−1</sup> <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The 10.0 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula> PID (Fig. S2) also showed a proportional response to the <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> mixture, and the observed <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> sensitivity falls close to the expected value. Similarly, for the <inline-formula><mml:math id="M275" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and 2-heptanone mixture, the PID sensitivity is 3.5 <inline-formula><mml:math id="M276" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup> (<inline-formula><mml:math id="M278" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 2.4 <inline-formula><mml:math id="M279" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M282" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and 1.6 <inline-formula><mml:math id="M283" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup> (<inline-formula><mml:math id="M285" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 2.6 <inline-formula><mml:math id="M286" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to 2-heptanone, and the observed sensitivity to the <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> mixture is 2.7 <inline-formula><mml:math id="M290" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−1</sup> (<inline-formula><mml:math id="M292" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.2 <inline-formula><mml:math id="M293" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup>) (expected 2.9 <inline-formula><mml:math id="M295" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−1</sup> <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mV</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The EC sensor signals (Figs. S2 and S3) also obey additivity within uncertainty, though the high measurement noise makes the EC mixture response uncertainties much higher than those of PIDs. The observed linearly additive nature of these sensor responses to mixtures is consistent with expectations based on the principles of operation of PID and EC sensors (Baron and Saffell, 2017; Freedman, 1980).</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e3450">Left panel: high-sensitivity PID (PID2) responses to <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (blue) and <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (dark purple) mixtures of 1-hexene (red) and 1-octene (magenta). Right panel: PID2 responses to <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (blue) and <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> (teal) mixtures of <inline-formula><mml:math id="M302" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene (indigo) and 2-heptanone (aquamarine). Solid lines indicate the best fit line for each of the points, and the shaded area indicates the 1<inline-formula><mml:math id="M303" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> confidence interval; dotted lines indicate the expected signal assuming additivity. The mixing ratio (<inline-formula><mml:math id="M304" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis) refers to the total amount of VOC (i.e., both components of the mixtures) introduced to the sensors.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026-f07.png"/>

        </fig>

      <p id="d2e3530">The response of MOx sensors to binary mixtures (Fig. 8) is more complex. The left panels in Fig. 8 show the response of two MOx sensors to the same binary mixtures (<inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> molar ratios of 1-hexene and 1-octene), as well as the expected results of linearly combining the power law response curves. The right panels show the same information, but for <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> mixtures of <inline-formula><mml:math id="M309" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and 2-heptanone. For both sensors and all mixtures, the observed mixture response is far below this predicted sum, at least at higher mixing ratios (<inline-formula><mml:math id="M310" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>). This indicates that different VOCs can interact with each other on the MOx sensor, leading to a response that is not a linear combination of the individual power law response curves. This is consistent with the work of Llobet et al. (1998), who showed that linear addition was an acceptable approximation at low mixing ratios, but found that MOx responses at higher mixing ratios required the inclusion of an interaction term for each gas pair from the total sum of responses. Llobet et al. found that the response of a MOx sensor to a binary mix of <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">VOC</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">VOC</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> could be represented as <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">VOC</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:msup><mml:mo>]</mml:mo><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">VOC</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:msup><mml:mo>]</mml:mo><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>-</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">VOC</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:msup><mml:mo>]</mml:mo><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">VOC</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:msup><mml:mo>]</mml:mo><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Llobet et al., 1998).</p>

      <fig id="F8"><label>Figure 8</label><caption><p id="d2e3718">Left panels: MOx responses to <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (blue) and <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (dark purple) mixtures of 1-hexene (red) and 1-octene (magenta). Right panels: MOx responses to <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (blue) and <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> (teal) mixtures of <inline-formula><mml:math id="M319" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene (indigo) and 2-heptanone (aquamarine). Solid lines: best fit of each VOC or mixture; dotted lines: the predicted mixture signal, assuming additivity; dashed lines: predicted mixture signal that includes a fitted interaction term (Llobet et al., 1998). The mixing ratio (<inline-formula><mml:math id="M320" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis) refers to the total amount of VOC (i.e., both components of the mixtures) introduced to the sensors.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/5337/2026/amt-19-5337-2026-f08.png"/>

        </fig>

      <p id="d2e3790">We applied this equation to our own mixture data, calculating a coefficient <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> that represents the interaction between the two species. For the 1-hexene/1-octene mixture, calculated values of <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were found to be consistent across the different mixture proportions: for the MOx type 1 sensor, we found <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M324" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.9 <inline-formula><mml:math id="M325" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup> (<inline-formula><mml:math id="M327" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.3 <inline-formula><mml:math id="M328" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) and <inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M331" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.4 <inline-formula><mml:math id="M332" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup> (<inline-formula><mml:math id="M334" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 2.0 <inline-formula><mml:math id="M335" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) for the <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> mixtures, respectively; for the MOx type 2 sensor, <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M340" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5.3 <inline-formula><mml:math id="M341" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> (<inline-formula><mml:math id="M343" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.3 <inline-formula><mml:math id="M344" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) and <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M347" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5.7 <inline-formula><mml:math id="M348" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> (<inline-formula><mml:math id="M350" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 2.0 <inline-formula><mml:math id="M351" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) for the <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> mixtures, respectively. Calculated <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values for the <inline-formula><mml:math id="M356" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and 2-heptanone mixture were also consistent: for the MOx type 1 sensor we found <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M358" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.6 <inline-formula><mml:math id="M359" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup> (<inline-formula><mml:math id="M361" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 6.0 <inline-formula><mml:math id="M362" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) and <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M365" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.9 <inline-formula><mml:math id="M366" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup> (<inline-formula><mml:math id="M368" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.9 <inline-formula><mml:math id="M369" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) for the <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> mixtures, respectively; for the MOx type 2 sensor, <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M374" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.3 <inline-formula><mml:math id="M375" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−3</sup> (<inline-formula><mml:math id="M377" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 3.3 <inline-formula><mml:math id="M378" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) and <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M381" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 8.7 <inline-formula><mml:math id="M382" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> (<inline-formula><mml:math id="M384" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1.7 <inline-formula><mml:math id="M385" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup>) for the <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> mixtures, respectively. However, we note the power law fits for the <inline-formula><mml:math id="M389" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and 2-heptanone mixtures (with <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values ranging from 0.77 to 0.92) are substantially poorer than those of the 1-hexene and 1-octene mixtures (<inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> ranging from 0.94 to 0.99). Overall our results suggest that while the MOx signals may be additive at low levels of VOC (10 <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> or lower), the additivity approximation is inaccurate at higher levels, and that the inclusion of VOC–VOC interaction terms (Llobet et al., 1998) is necessary for accurate estimates of VOC levels.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d2e4491">Figure 4 highlights the potential of the sensor-array approach for characterizing VOCs: for ten different VOCs at relatively low (10 <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>) mixing ratios, the responses from an array of broadband sensors provides unique information about the given VOC. However, our work on RH effects and mixture responses highlights major challenges for transferring laboratory results to the practical application of this approach, as both effects are substantial and difficult to parameterize. In a real atmospheric environment where such a sensor array might be used, RH will likely fluctuate, and the VOCs being sampled will almost certainly be present in complex mixtures. Thus, it is important to understand the limitations of this sensor-array measurement approach, and possible ways to mitigate the challenges posed by mixtures and RH.</p>
      <p id="d2e4502">One potential solution to the RH and mixture problems is to carry out a complete, prescriptive laboratory study that exhaustively determines sensor sensitivity responses as a function of RH and the VOC in question, as well as MOx interaction terms for many different gas pairings. However, such a characterization is not easily scalable: the real atmosphere contains far too many VOCs, with too many RH conditions and possible VOC mixture compositions, for such prescriptive lab characterization to be feasible. Consider the hypothetical case of fully characterizing sensor responses to 30 important environmental VOCs (a conservative number given the complexity of ambient air). Sensor characterization at three concentrations and three RH values (low, medium, high) would require a minimum of 270 individual measurements, and if binary MOx interaction terms were desired the number of experiments would drastically increase due to the 435 possible unique pairings. This assumes that the MOx interaction terms are binary only; if sensitivity is also affected by interactions among three or more VOCs, this number of experiments becomes much larger still.</p>
      <p id="d2e4505">Alternatively, it is possible to limit the effects of RH on sensor measurements by choosing practical applications without large RH variance. Our laboratory results suggest that RH extremes pose the largest challenge to the sensor array. At low values of RH (between 0 % and 30 %), the effect of RH on PID and MOx sensitivities is large and highly nonlinear, and EC sensors will also experience gradual dehydration (Hitchman and Saffell, 2021). At high RH, sensor sensitivity becomes far less dependent on RH, though degradation of PID and MOx sensors could occur after prolonged exposure. To avoid these RH-related issues, an ideal use case for this instrument would involve measurements of air either maintained at a constant and moderate RH level, or limited to a narrow range of moderate RH values (e.g. 40 %–60 % RH). For example, a sensor array could be used to make measurements of VOCs in indoor environments, which are generally maintained at this moderate RH range. If measurements of outdoor VOCs are desired, the sensor array could potentially be placed downstream of humidity-removal techniques that remove water while preserving water-soluble sample VOCs (Beghi and Guillot, 2006; Lee et al., 2019, 2023),</p>
      <p id="d2e4509">The problem posed by VOC mixtures could potentially be addressed by carrying out calibrations that are specifically tailored to environmental applications: for example, calibrations could focus on characterizing the array's responses to mixtures that are representative of realistic atmospheric VOC sources like biomass burning and traffic. Calibration could also be carried out via sensor co-location with reference instruments, a technique that has been used in air sensor studies to effectively calibrate key pollutants such as <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Hagan et al., 2018), <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Levy Zamora et al., 2023), and PM (Zusman et al., 2020). Co-location has many advantages: the reference instruments are sensitive, specific, reliable, and regularly calibrated. Such a calibration for specific VOC measurements would be challenging but is possible through the co-location of sensors with a research-grade instrument that measures multiple VOCs (e.g., GC-MS or PTR-MS), and the novel application of data analysis techniques that directly interpret air sensor measurements made in the field. In fact, previous co-location studies with individual or small arrays of MOx sensors have yielded calibrations that have moderate correlation (<inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M397" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.7) with total VOC or a handful of key VOCs (e.g., benzene, toluene, ethylbenzene, and xylenes) (Frischmon et al., 2025; Hong et al., 2023; Okorn and Hannigan, 2021); comparisons of measurements from larger sensor arrays to speciated VOC measurements (e.g., from PTR-MS) could improve characterization of complex VOC mixtures still further.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusion</title>
      <p id="d2e4562">We investigated the feasibility of using an array of air sensors to make measurements of VOCs. This array consists of 12 total PID, MOx, and EC sensors, each with their own unique sensitivities to VOCs. We investigated the array's responses to 10 representative VOCs between 5–100 <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> in a controlled laboratory environment, and results highlight the potential of such a sensor array in making measurements of VOCs: the entire array of responses clearly gives us unique information about the VOC being measured (Fig. 4), and these “fingerprints” can potentially be used in conjunction with pattern recognition techniques to characterize complex mixtures of VOCs. We also explored the effects of changing RH: PIDs showed a consistent but VOC-specific decrease in sensitivity with increasing RH, EC sensor sensitivities changed only slightly or in a predictable manner, and one type of MOx sensor saw changes in its signal fit parameters that were consistent across different RH values, but the other MOx type saw substantial and unpredictable changes in signal due to RH. For simple binary mixtures, we found that PIDs and EC signals showed additivity, while MOx sensors did not. All obtained results are consistent with our expectations based on prior studies and physical sensing principles. RH and mixture effects on sensor responses do pose some problems for practical usage of this measurement approach, but these effects can likely be mitigated by limiting RH variability or employing alternative calibration techniques, such as co-location with a reference instrument.</p>
      <p id="d2e4573">Our results have focused on key aspects of the sensor array's responses, but there are other attributes of sensor responses that should be characterized in the future. We did not investigate the transient behaviour of these sensors (e.g., signal response and decay times) in detail, nor did we quantify baseline drift caused by ambient temperature changes or sensor aging. These aspects of sensor responses are important areas for future work to address. In addition, this study focuses on a single combination of commercially available sensors and operational parameters, but as new VOC air sensors become available, these too could be incorporated into future studies, potentially leading to an even larger matrix of distinct responses.</p>
      <p id="d2e4576">In summary, our laboratory results demonstrate a proof-of-principle for future applications of VOC air sensor arrays. Although environmental applications pose unique challenges that cannot all be prescriptively addressed in the laboratory, we show that this approach has promise for yielding quantitative, chemically specific information about VOCs. Ultimately such an approach could enable lower-cost, distributed VOC measurements, which in turn will contribute to our fundamental understanding of atmospheric chemical composition and human exposure to air pollutants across a wide range of scales.</p>
</sec>

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

      <p id="d2e4584">All figure data are available via the Kroll Group publication website at <uri>http://krollgroup.mit.edu/publications.html</uri>  (Kroll Group, 2026).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e4590">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-19-5337-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-19-5337-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4599">AG: conceptualization, formal analysis, methodology, software, validation, visualization, writing – original draft and writing – review and editing. MBG: methodology, writing – review and editing. EH: methodology. DHH: conceptualization, methodology. JHK: conceptualization, supervision, and writing – review and editing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4605">David H. Hagan is the co-founder of QuantAQ, an air quality sensor company that manufactures and sells air quality sensor systems.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e4611">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e4617">This research has been supported by the Alfred P. Sloan Foundation's “Chemistry of Indoor Environments” program (grant no. G-2018-11096) and the U.S. Environmental Protection Agency (assistance agreement RD-84042501). The views expressed in this article are solely those of the authors, and EPA does not endorse any products or commercial services mentioned in this publication. This work is not a product of the United States Government, and the author is not doing this work in any governmental capacity.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4623">This paper was edited by Albert Presto and reviewed by two anonymous referees.</p>
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