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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-15-2001-2022</article-id><title-group><article-title>Formaldehyde and glyoxal measurement deploying a selected ion flow tube mass spectrometer (SIFT-MS)</article-title><alt-title>Formaldehyde and glyoxal measurement deploying a SIFT-MS​​​​​​​​​​​​​​</alt-title>
      </title-group><?xmltex \runningtitle{Formaldehyde and glyoxal measurement deploying a SIFT-MS​​​​​​​​​​​​​​}?><?xmltex \runningauthor{A. G. Zogka et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Zogka</surname><given-names>Antonia G.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name><surname>Romanias</surname><given-names>Manolis N.</given-names></name>
          <email>emmanouil.romanias@imt-nord-europe.fr</email>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Thevenet</surname><given-names>Frederic</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>IMT Nord Europe, Institut Mines-Télécom, Univ. Lille, CERI EE, 59000 Lille, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Manolis N. Romanias (emmanouil.romanias@imt-nord-europe.fr)</corresp></author-notes><pub-date><day>5</day><month>April</month><year>2022</year></pub-date>
      
      <volume>15</volume>
      <issue>7</issue>
      <fpage>2001</fpage><lpage>2019</lpage>
      <history>
        <date date-type="received"><day>5</day><month>November</month><year>2021</year></date>
           <date date-type="rev-request"><day>25</day><month>November</month><year>2021</year></date>
           <date date-type="rev-recd"><day>2</day><month>March</month><year>2022</year></date>
           <date date-type="accepted"><day>3</day><month>March</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Antonia G. Zogka et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://amt.copernicus.org/articles/15/2001/2022/amt-15-2001-2022.html">This article is available from https://amt.copernicus.org/articles/15/2001/2022/amt-15-2001-2022.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/15/2001/2022/amt-15-2001-2022.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/15/2001/2022/amt-15-2001-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e96">Formaldehyde (FM) and glyoxal (GL) are important atmospheric species of indoor and outdoor environments. They are either directly emitted in the atmosphere, or they are formed through the oxidation of organic compounds by indoor and/or outdoor atmospheric oxidants. Despite their importance, the real-time monitoring of these compounds with soft  ionization mass spectrometric techniques, e.g., proton transfer mass spectrometry (PTR-MS), remains problematic and is  accompanied by low sensitivity. In this study, we evaluate the performance of a multi-ion selected ion flow tube mass spectrometer (SIFT-MS) to monitor in real-time atmospherically relevant concentrations of FM and GL under controlled experimental conditions. The SIFT-MS used is operated under standard conditions (SCs), as proposed by the supplier, and custom conditions (CCs) to achieve higher sensitivity. In the case of FM, SIFT-MS sensitivity is marginally impacted by relative humidity (RH), and the detection limits achieved are below 200 ppt (parts per trillion). Contrariwise, in the case of GL, a sharp decrease of instrument sensitivity is observed with increasing RH when the H<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ion is used. Nevertheless, the detection of GL, using NO<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion, is moderately impacted by moisture with an actual positive sensitivity response. Therefore, we recommend the use of the NO<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor for the reliable detection and quantitation of GL. This work evidences that SIFT-MS can be considered as an efficient tool to monitor the concentration of FM and GL in laboratory experiments, and potentially in indoor or outdoor environments, capable of identifying their primary emission or secondary formation through (photo)oxidation processes. Furthermore, SIFT-MS technology still allows great  possibilities for sensitivity improvement and high potential for monitoring low proton transfer affinity compounds.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e144">Formaldehyde (CH<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O; FM) is the lightest aldehyde. It is a ubiquitous chemical compound in outdoor and indoor environments. FM is a toxic and carcinogenic air contaminant with adverse health effects to humans (Bernstein et al., 1984; Kim et al., 2011). In the open atmosphere, FM is mainly formed by the oxidation of volatile organic compounds (VOCs; Kefauver et al., 2014). Fuel combustion, forest fires, and agricultural activities are also important sources of FM outdoors (Kaiser et al., 2015; Lee et al., 1997; Luecken et al., 2012). FM plays an important role in atmospheric photochemistry since it is photolyzed, producing hydroxyl (OH) and hydroperoxy (HO<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) radicals which drive ozone (O<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) production (Atkinson, 2000). Thus, it enhances the formation of secondary organic aerosol (SOA; Li
et al., 2011). In indoor environments, FM can be emitted directly from wood-based materials, construction materials, paintings, anthropogenic activities such as smoking, cooking, and cleaning, or by the oxidation of indoor VOCs, especially terpenes, with high yields (Salthammer, 2019). Indoor concentrations of FM can reach significantly higher levels than outdoors (Crump et al., 1997; Langer et al., 2015; Liu et al., 2006).</p>
      <p id="d1e174">Glyoxal (C<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>; GL) is the lightest <inline-formula><mml:math id="M11" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyl compound. GL has been identified as precursor of secondary organic aerosol (SOA) outdoors (Fu et al., 2008; Liggio et al., 2005; Volkamer et al., 2007; Rossignol et al., 2014). GL is formed in the atmosphere by the oxidation of biogenic and anthropogenic VOCs, such as isoprene (the highest emitted VOC in the atmosphere), and acetylene (Fu et al., 2008; Xiao et
al., 2007; Myriokefalitakis et al., 2008). The oxidation of aromatic compounds in the presence of NO<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (NO and NO<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) also produces GL. Other sources of GL are biomass burning, fossil and biofuel combustion, (Grosjean et al., 2001; Hays et al., 2002; Kean et al., 2001) and oceans, but studies in the literature report a high variability (Mahajan et al., 2014; Sinreich et al., 2010). In the literature, it has also been reported that
the photochemical oxidation of GL in the troposphere leads to HO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> radical formations (Salter et al., 2013). In indoor
environments, to the best of our knowledge, there are no studies reporting the direct emission or secondary formation of GL, but, considering emerging research activities dealing with indoor air quality, this should not be excluded.</p>
      <p id="d1e239">Due to their important role of outdoor and indoor environments in the chemistry, the monitoring of the FM and GL in laboratory experiments (e.g., simulation chamber experiments and photochemical reactors) or in the field (indoor and outdoor) is of significant importance in order to evaluate and understand the underlying chemistry. Nevertheless, the real-time measurement
of FM and GL is not a trivial process. The sensitivity of the classically used proton transfer mass spectrometry (PTR-MS) technique for these compounds is quite limited and is strongly impacted by relative humidity (RH; Inomata et al., 2008; Stönner et al., 2017; Vlasenko et al., 2010; Yuan et al., 2017). Limitations are mainly due to the low proton transfer
affinities (PA) of both compounds of interest, i.e., PA<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">FM</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M16" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 713 kJ mol<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and PA<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">GL</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M19" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 675–690 kJ mol<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Wróblewski et al., 2007), and is thus very close to the PA of water, i.e., PA<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M22" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 691 kJ mol<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Quite recently, electron attachment reaction (EAR) ionization mass spectrometry
has been used for real-time measurements of GL in ambient air. Nevertheless, this technique does not seem to be sensitive enough for other volatile organic compounds (VOCs; Lu et al., 2019). It should be noted that mass spectrometric techniques are widely applied in atmospheric science for three main reasons. First, they are sensitive tools that are able to monitor simultaneously and in real-time a wide range of VOCs. Second, they are robust, user-friendly, and mobile systems. Third, they require a relatively low sampling flow (of the order of 100 cm<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> min<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and can be easily coupled to small-scale laboratory experiments or with other instrumentation without a significant extra demand on air sampling flow.</p>
      <p id="d1e354">Alternatively, the monitoring of FM and GL is achieved using VOC-selective spectroscopic techniques such as Fourier transform infrared spectroscopy (FTIR; Catoire et al., 2012), differential optical absorption spectroscopy (DOAS; Coburn et al., 2014), tunable diode laser absorption spectrometer (TDLAS; Catoire et al., 2012), or incoherent broadband cavity-enhanced absorption spectrometer (IBBCEAS; Liu et al., 2019; Lu et al., 2019). FTIR spectroscopy is mostly used in lab experiments (Catoire et al., 2012) deployed in situ or in line configuration inside atmospheric simulation chambers or photoreactors (Wisthaler et al., 2008). However, the sensitivity is relatively poor, and even long optical path FTIR systems achieve detection limits (DLs) of the order of several parts per billion (ppb). In addition, long path FTIR systems are not mobile, or are of limited mobility, and the selective detection of FM and GL is relatively difficult
due to the complex IR pattern in the presence of other VOCs. Other VOC-selective spectroscopic tools, such as DOAS and IBBCEAS, are mostly used in outdoor field studies (Coburn et al., 2014; Lu et al., 2019). These are expensive and delicate systems that can achieve detection limits in the sub-ppb level. However, these techniques require a high-volume sampling flow of several liters per minute (L min<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; Coburn et al., 2014; Lu et
al., 2019). Thus, they are not commonly deployed in laboratory studies or indoor field measurements. Therefore, low time resolution techniques, such as offline analytical approaches, are used for the selective determination of FM and GL. In particular, gas chromatography and mass spectrometry (GC-MS) or high-performance liquid chromatography (HPLC) are used for offline analysis of sampling cartridges (Ban-Weiss et al., 2008; Gómez Alvarez et al., 2012; Wisthaler et al., 2008).</p>
      <p id="d1e370">A response to the need for real-time, selective, and sensitive monitoring of FM and GL could be the selected multi-ion flow tube mass spectrometry (SIFT-MS). SIFT-MS is a soft ionization analytical technique, mainly used for the real-time monitoring (identification and quantification) of a wide diversity of VOCs, and some inorganic species (e.g., NO<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HONO). SIFT-MS attains the advantages of the typical mass spectrometric techniques described above. SIFT-MS is essentially a double quadrupole chemical ionization mass spectrometer simultaneously using H<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, NO<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, and O<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> precursor ions for the ionization and the subsequent detection of the analytes. SIFT-MS has extensively been used for breath analysis and
in food science, but it is not commonly used in atmospheric science, where, traditionally, PTR-MS is widely applied. Nevertheless, in the last decade, the application of SIFT-MS technology for the study of atmospherically relevant processes became more frequent, where SIFT-MS is either coupled to experimental chambers with various volumes for indoor studies (Caron et al., 2016, 2020; Thevenet et al., 2021) or atmospheric
simulation chambers for the study of VOC degradation (Osseiran et al., 2020; Allani et al., 2021).</p>
      <p id="d1e421">Quite recently, Lacko et al. (2020) have reported, for the first time, the detection of FM and GL deploying a custom-made SIFT-MS. In their study, authors mainly focus on the ion chemistry occurring inside the flow tube of the instrument and how it is impacted by humidity. These authors have also applied chemical modeling in an attempt to interpret their experimental results. Nevertheless, Lacko et al. (2020) used a custom-made SIFT-MS
instrument that was operated in a tailored mode, injecting the
corresponding VOC in a humidified airflow of helium bath gas. Their measurements were carried out at low levels of relative humidity, never exceeding 10 %, and using constant concentrations of VOCs in the parts per million (ppm) range. Therefore, the authors did not evaluate the response of the instrument in a VOC concentration span of sub-ppm range, typical of indoor and outdoor environments, and they did not report the corresponding detection limits (DLs). Furthermore, their study was solely focused on the chemistry of the H<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion.</p>
      <p id="d1e442">In this paper, we present a series of calibration experiments of FM and GL, deploying a commercially available SIFT-MS Voice200 ULTRA instrument. The main objective of this work is to evaluate the sensitivity of SIFT-MS towards FM and GL and elucidate whether it can (i) be used to monitor the concentrations of the title compound in laboratory-scale or ambient indoor/outdoor air conditions and (ii) overcome the limitations encountered in conventional PTR-MS studies, as highlighted above. In addition, for the first time in the literature, we aim to emphasize the importance of NO<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> charge transfer reactions on the detection of GL. To meet these objectives, FM and GL calibration measurements are carried out under dynamic flow conditions using a wide range of VOC concentrations in the ppb level, varying the relative humidity (RH) from dry conditions to 70 %. Within that  framework, we assess the impact of RH and the instrument operational conditions (i.e., pressure and temperature) to its performance.</p>
      <p id="d1e454">The structure of the article is as follows: first, we present a detailed description of the experimental setup, the methods deployed, and protocols followed in this work. Thereafter, in Sect. 3, we provide (i) the literature and experimental evidences that impact the charge transfer reactions in SIFT-MS and PTR-MS, and (ii) the actions made in the framework of our study to improve the SIFT-MS performance. Subsequently, the results
and discussion on FM and GL are presented separately in two different sections. Each of the two subsections include the presentation of our experimental observations and a thorough discussion that contains comparison with PTR-MS or other SIFT-MS studies and a comprehensive assessment of the charge transfer reactions involved in the detection of the compound of
interest.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Experimental section</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Materials</title>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Formaldehyde source</title>
      <p id="d1e479">A gas cylinder of FM purchased from Praxair, Inc. (12 ppm in
N<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) is used as a source for the calibration experiments. The purity and stability of the gas mixture is regularly tested by sampling FM gas on dinitrophenylhydrazine (DNPH) cartridges that are (water) eluted and analyzed offline, using the UltiMate 3000 HPLC instrument (Thermo Fisher) coupled with an ultraviolet detector.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Glyoxal source</title>
      <p id="d1e499">The monomer of pure GL is synthesized by applying a similar method with to that in the literature (Volkamer et al., 2005). In
particular, equal amounts (ca. 0.6 g) of GL trimer dihydrate (purity <inline-formula><mml:math id="M36" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 97 %; Sigma-Aldrich) and di-phosphorous pentoxide (purity <inline-formula><mml:math id="M37" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 98 %; Avantor) are mixed in a glass bulb and are progressively heated up under vacuum conditions (1.5 <inline-formula><mml:math id="M38" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> Torr) from room temperature to 453 K. The evolving gas is collected in a glass trap immersed into liquid nitrogen, where the bright yellow pure GL solid crystals appear. Subsequently, after synthesis, the cold trap containing the monomer of GL is
placed in a liquid nitrogen/ethanol bath maintained at 230 K and is degassed under vacuum conditions several times to remove volatile by-products (purification process). The vapors of pure GL are collected in a 10 L Pyrex glass bulb that has been darkened to minimize exposure of the sample to room light. The
purity of the gas is verified by FTIR spectroscopy deploying an Antaris FTIR spectrophotometer (Thermo Fisher) equipped with a 2 L optical gas cell with 10 m optical path length. The temperature of the optical cell is maintained at 353 K. The
FTIR spectra collected are of a high quality and identical to those presented in the literature for pure GL monomers (Volkamer et al., 2005). The thermal stability of the GL is also verified, and we evidence that no thermal decomposition occurs, in accordance with the literature (Feierabend et al., 2008; Saito et al., 1984). Considering the detection limits of the instrument for CO, CO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (of the order of 0.1 ppm), and FM (​​​​​​​of the order of 1 ppm), the purity of GL is greater than 99 %. After the
quality control experiments, dilutions of GL gas in He are prepared manometrically in another glass bulb, with mixing ratios of ca. 1 % for a total pressure of 400 Torr. For the sake of simplicity, it will be referred  to as mixture 1 (GL diluted in He) in the following. Mixture 1 is used as a source to prepare more diluted GL/He gas mixtures (in the range of 50 to 120 ppm) with total pressure of 1550 Torr inside a 6 L Silonite treated
canister. The exact concentration of GL in the canister is determined with FTIR spectroscopy, using the well-defined broadband IR absorption cross section coefficients provided in the literature for the characteristic band of GL between 2724–2940 cm<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Volkamer et al., 2005). These mixtures are used for the calibration of the SIFT-MS instrument, and their stability is evaluated on a daily basis. It should be noted that two different GL syntheses were carried out and four different GL<inline-formula><mml:math id="M42" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>He canister mixtures are used for the calibration experiments to evaluate uncertainties related to GL concentration.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Experimental setup</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>General description</title>
      <p id="d1e580">The experimental setup used in the current study is reported in Fig. 1. The gas flow generation lines are made of Teflon. Calibrated mass flow controllers (MFCs) are used to mix the flow of the target VOC (i.e., FM or GL) with dry or humid zero air (impurity levels are VOCs <inline-formula><mml:math id="M43" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.1 ppb, CO<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M45" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 ppb, and CO <inline-formula><mml:math id="M46" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 80 ppb; moisture level is ca. 2 ppm). The total gas flow rates in the calibration measurements are of the order of 1000 mL min<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Nevertheless, experiments are also performed by varying the flow rate between 300 to 1600 mL min<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, aiming to evaluate the possible loss of compounds on gas lines. The total concentration of the target VOCs in the diluted gas flow are between 40 to 1200 ppb. In the case of FM, the diluted gas stream is sampled by an Ap2e ProCeas<sup>®</sup> FM analyzer (sampling rate 180 mL min<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and the SIFT-MS (sampling rate 35 mL min<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) connected in parallel. Concerning GL calibration experiments, the FM analyzer and the long path FTIR were occasionally used to evaluate possible impurities in the canister or transformation of GL in the gas lines, but the majority of the measurements are carried out in a manner that bypasses them.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e667">Experimental setup used in the framework of the current study.</p></caption>
            <?xmltex \igopts{width=406.874409pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/2001/2022/amt-15-2001-2022-f01.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><?xmltex \opttitle{Formaldehyde analyzer ap2e ProCeas\textsuperscript{\textregistered}}?><title>Formaldehyde analyzer ap2e ProCeas<sup>®</sup></title>
      <p id="d1e687">The real-time measurement of FM in the gas flow is achieved deploying an Ap2e ProCeas<sup>®</sup> gas analyzer. The gas flow is sampled through a sonic orifice
with a diameter of few micrometers. Then, the gas is driven to an optical cell and analyzed employing patented laser optical  feedback cavity-enhanced absorption infrared spectroscopy. The instrument response is ca. 2 s, and the detection limit (3<inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) of FM is 1 ppb for an integration time
of 1 min.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>SIFT-MS</title>
      <p id="d1e708">The SIFT-MS voice 200 ultra (Syft Technologies Limited) is a double quadrupole chemical ionization mass spectrometer. A microwave discharge simultaneously generates three precursor ions, H<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, NO<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, and O<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, which are sequentially selected by a first quadrupole mass filter (Smith and Španěl, 2005). Then, under a flow of He, used as carrier gas, the precursor ions are driven inside a low-pressure flow tube reactor. At the same time, the sampling flow is injected at the upstream end of the reactor. The precursor ions react with the analytes along the flow tube to form characteristic ionized molecules as reaction products (Smith and Španěl, 2005). The temperature of the sampling port and the flow tube are temperature regulated (293–393 K) to avoid contaminations of the sampling line and adsorption of reactants along the flow tube. Subsequently, the gas stream passes through a skimmer, located at the downstream end of the flow tube reactor and, finally, is injected in a high vacuum chamber where both the
precursor and reaction product ions are focused, via electrostatic lenses, into a second quadrupole for mass analysis and ion counting. At this point it should be noted that the simultaneous presence of the three precursor ions allows the real-time monitoring of several VOCs, eliminating the effect
of mass peak overlapping due to the use of a quadrupole mass filter with a low mass resolution. Interestingly, this multi-ion chemistry allows SIFT-MS to discriminate isobaric compounds (Guimbaud et al., 2007), which is not a trivial task – even for time-of-flight (TOF) techniques (Stönner et al., 2017; Yuan et al., 2017).</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <label>2.2.4</label><title>FTIR</title>
      <p id="d1e759">The purity of the glyoxal is verified by FTIR spectroscopy deploying an Antaris FTIR spectrophotometer equipped with a 2 L optical gas cell with 10 m optical path length and zinc selenide transmission windows. The temperature of the optical white cell is maintained at 353 K. A liquid-N<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-cooled mercury cadmium telluride (MCT) detector was attached and 64 co-added IR spectra were recorded between 650 and 4000 cm<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with 1 cm<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> resolution, using RESULT™ v.3 software. Quantification and data processing were performed using a thermos scientific software, TQ Analyst™.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Experimental procedure and detection limits</title>
      <p id="d1e804">Figure 2 displays the experimental strategy followed in the framework of the current study to calibrate the SIFT-MS. In a typical calibration experiment, the background of the VOC of interest is initially monitored for at least 20 min under a stream of zero air at the selected RH. Then the desired level of VOC is introduced in the gas stream, and its concentration is monitored in real time. In each calibration step, the flows are kept constant for around 20 min. In the case of FM, the stabilization of its concentration in the gas flow is achieved within the first 10 min after its introduction in the gas
flow, while, in the case of GL, its concentration is stabilized almost instantaneously. Typically, four to six different concentration levels of the VOC of interest are set in each calibration experiment. At the end, the background is recorded again. This experimental procedure is repeated for each level of RH and for each VOC individually. In the case of FM, the calibration factor is determined by plotting the SIFT-MS response (in counts) versus the concentration reported by the FM analyzer,  while in the case of GL it is done by plotting the SIFT-MS response as a function of GL concentration determined by the measured flow rate and the sample mixing ratio.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e809">Strategy followed during a typical calibration experiment. At first, the background of the VOC at the corresponding mass peak(s) is recorded. Then its concentration is progressively increased and monitored with SIFT-MS. Typically, four to six different concentrations of the VOC of interest are set before returning to background monitoring.</p></caption>
          <?xmltex \igopts{width=321.516142pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/2001/2022/amt-15-2001-2022-f02.png"/>

        </fig>

      <p id="d1e818">The time resolution of the SIFT-MS instrument in the calibration experiments is set to 1 s. FM is monitored at the mass peak  <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M60" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 31 (CH<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and FM-H<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>) arising from the H<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion, while in the case of GL the mass peaks <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M67" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 59 (C<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M72" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 88 (C<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:mrow></mml:math></inline-formula>NO<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>), originating from H<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and NO<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, respectively, are used.</p>
      <p id="d1e1023">To determine the detection limits (DLs) of the SIFT-MS, Eq. (1) is used as follows:
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M80" display="block"><mml:mrow><mml:mi mathvariant="normal">DL</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">3.3</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">SD</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">calibration</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">factor</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where SD is the standard deviation of the background signal. A similar criterion has been used in the literature to determine the detection limits of PTR-MS instruments for FM and GL. Therefore, it will allow us to make a direct comparison between the instrument sensitivities.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
      <p id="d1e1063">Results and discussion section is divided in three parts. In the first one, we discuss the optimization of the operational parameters and conditions of the SIFT-MS and the strategy followed to improve the method and the performance of the instrument. The second and the third subsections are dedicated to the calibration measurements of FM and GL, respectively, as a function of RH under standard and custom SIFT-MS operational conditions.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>From the standard to the custom method for the SIFT-MS determination of FM and GL</title>
      <p id="d1e1074">The standard operational conditions (SCs) of the SIFT-MS, as recommended by the supplier, correspond to a (i) temperature of 393 K for the sampling plate and the flow tube, (ii) He flow rate of 380 mL min<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> as bath gas, and (iii) sampling flow rate of 35 mL min<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, resulting in a total pressure inside the flow tube of 0.65 Torr (Table 1). Table 1 summarizes other
characteristic parameters of the SIFT-MS, such as carrier gas (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and ion flow (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) velocities, reaction time inside the flow tube of the instrument (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and mean kinetic energy between reactants (KE<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula>). However, the studies in the literature have reported that FM and GL detection is highly sensitive to operational conditions of soft ionization mass spectrometers (Lacko et al., 2020; Stönner et al., 2017; Yuan et al., 2017). In particular, the detection of FM and GL is based on association reactions (Lacko et al., 2020; Michel et al., 2005; Stönner et al., 2017; Yuan et al., 2017), and thus, the pressure and
temperature of the flow tube can play a dominant role since association reactions are favored at higher pressures. Furthermore, in the literature, the fragmentation of GL has been reported, leading to reduced sensitivity and a more complex chemistry inside the reaction tube of the corresponding mass
spectrometer (Lacko et al., 2020; Stönner et al., 2017). A crucial role for the detection of both FM and GL is also played by the KE<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> (Hansel et al., 1997).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1156">SIFT-MS parameters and conditions used in the framework of the current study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Parameters</oasis:entry>
         <oasis:entry colname="col2">Standard operation</oasis:entry>
         <oasis:entry colname="col3">Custom operation</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">conditions (SCs)</oasis:entry>
         <oasis:entry colname="col3">conditions (CCs)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Flow tube length<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M119" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> (cm)</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center">34 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Flow tube internal diameter, <inline-formula><mml:math id="M120" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> (cm)</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center">4.1 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sample plate temperature (K)</oasis:entry>
         <oasis:entry colname="col2">393</oasis:entry>
         <oasis:entry colname="col3">323</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Flow tube temperature, <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (K)</oasis:entry>
         <oasis:entry colname="col2">393</oasis:entry>
         <oasis:entry colname="col3">323</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Flow tube pressure (Torr)</oasis:entry>
         <oasis:entry colname="col2">0.65</oasis:entry>
         <oasis:entry colname="col3">0.85</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Molecular density in the flow tube, <inline-formula><mml:math id="M122" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> (molec. cm<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">1.6 <inline-formula><mml:math id="M124" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2.5 <inline-formula><mml:math id="M126" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Carrier gas flow (mL min<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">380</oasis:entry>
         <oasis:entry colname="col3">500</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Carrier gas flow rate, <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Torr L s<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">5.12</oasis:entry>
         <oasis:entry colname="col3">6.69</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Carrier gas flow velocity<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (cm s<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">860</oasis:entry>
         <oasis:entry colname="col3">705</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ion flow velocity<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (cm s<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">1290</oasis:entry>
         <oasis:entry colname="col3">1058</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Reaction time<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (ms)</oasis:entry>
         <oasis:entry colname="col2">27.5</oasis:entry>
         <oasis:entry colname="col3">33.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean kinetic energy between reactants<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula>, KE<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> (eV)</oasis:entry>
         <oasis:entry colname="col2">0.05</oasis:entry>
         <oasis:entry colname="col3">0.04</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O concentration range injected in the flow tube<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> (molec. cm<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(0.01–943) <inline-formula><mml:math id="M144" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">(0.02–1160) <inline-formula><mml:math id="M146" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FM concentration range injected in the flow tube<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> (molec. cm<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(0.68–13.6) <inline-formula><mml:math id="M150" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">(0.83–16.6) <inline-formula><mml:math id="M152" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GL concentration range injected in the flow tube<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> (molec. cm<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(0.68–16.9) <inline-formula><mml:math id="M156" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">(0.83–20.0) <inline-formula><mml:math id="M158" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e1159"><inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Distance between sample flow injection point and the end of the flow tube. <inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Calculated from the expression  <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:msup><mml:mi>D</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mn mathvariant="normal">273</mml:mn></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the carrier gas flow rate, <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the temperature of the carrier gas, <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the pressure in flow tube, and <inline-formula><mml:math id="M94" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> is the flow tube internal diameter (Španěl and Smith, 1996). <inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Calculated as <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Smith and Adams, 1988). <inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> Estimated from the expression
<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi>L</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ε</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="italic">ι</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula>, and it corresponds to the distance for a full mixing of neutral molecules with the carrier gas in the flow tube. <inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> Calculated using the recommended expressions by Hansel et al. (1997). KE<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mi>M</mml:mi></mml:mrow><mml:mi>M</mml:mi></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="normal">KE</mml:mi><mml:mi mathvariant="normal">ion</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M102" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M103" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> are the masses of the carrier gas and the neutral reactant, respectively, <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the Boltzmann constant, and KE<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ion</mml:mi></mml:msub></mml:math></inline-formula> is the kinetic energy of ions obtained by the expression KE<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">ion</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mi>T</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mi>m</mml:mi><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">ion</mml:mi></mml:msub><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">ion</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mass of reactant ion. <inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> Estimated using the following expression: <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the sample flow of pure water in the sample flow calculated as the product of RH with the total sample flow rate (35 mL min<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the total flow rate inside the flow tube, and <inline-formula><mml:math id="M113" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the number density. <inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> Calculated in a similar way with water concentrations,  <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">VOC</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">VOC</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula>,  where <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">VOC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the sample flow of pure VOC in the sample flow calculated as the product of VOC mixing ratio in the total sample flow (35 mL min<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p></table-wrap-foot></table-wrap>

      <p id="d1e2266">Considering the abovementioned challenges related to the sensitive detection of FM and GL, to improve the sensitivity of the SIFT-MS, we modified the pressure and temperature conditions of the SIFT-MS compared with SCs. In particular, we indirectly increased the pressure inside the flow tube, by increasing the He flow to its maximum value of 500 mL min<inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> under constant
pumping. This increase in He flow results in a 23 % higher pressure compared with SCs. The temperature of the flow tube and sampling plate has been decreased to 323 K. The temperature decrease results in lower KE<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula>. Combined with increasing pressure, it leads to lower gas and ion flow velocities and longer reaction times in the flow tube. Based on the literature (as described below and experimentally validated in our study), these modifications are anticipated to increase the sensitivity of the instrument. These modified operation conditions of the SIFT-MS are summarized in Table 1. In the rest of the paper, they are referred to as custom conditions (CCs). In order to assess the relevance of CCs, calibration experiments described in the remainder of the paper are carried out under both SC and CC conditions.</p>
      <p id="d1e2291">We observed that operating the instrument under SC or CC modes has a negligible impact on the concentration of the NO<inline-formula><mml:math id="M162" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and O<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> primary ions. However, the distribution of H<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and H<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O clusters is influenced. The hydronium water cluster can be formed from Reaction (R1), as follows:

            <disp-formula id="Ch1.R2" content-type="numbered reaction"><label>R1</label><mml:math id="M169" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          The rate coefficient of Reaction (R1) is <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">K</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">6.55</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. It is an average value
retrieved from three studies in the literature (Bierbaum et al., 1976; Bolden and Twiddy, 1972; Španěl and Smith, 2001). The errors quoted correspond to the standard deviation of the measurements.</p>
      <p id="d1e2493">Reaction (R1) is an association reaction, and therefore, the rate coefficient depends on the thermal stabilization of the adduct leading to the formation of H<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, which is favored at low temperatures and high pressures. Consequently, both temperature and pressure modifications,
applied to establish CCs, enhance the formation of  H<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O clusters. In addition, the reaction time also plays a role. Under CCs, <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is increased by a factor of 1.22 compared to SCs, and thus an increase in the concentration of H<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O is expected. In order to establish a criterion for the humidity adjustments during the calibration experiments and the different operation modes of the instrument, the ratio of the signals for the H<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O cluster at the <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 37 (<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and H<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M189" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> at the <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 19 (<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is
considered. Note that similar approaches have been applied in the
literature (Inomata et al., 2008; Stönner et al., 2017). In Fig. S1 in the Supplement, these relative ratios of <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> versus the RH in the gas flow for the two different operation modes of the SIFT-MS are presented. It should be noted that, as displayed in Fig. S1, when the ambient water vapor concentration is close to zero level, i.e., close to dry conditions, then the <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio approaches zero, pointing out that the water coming from the discharge ion source entering the flow tube is negligible compared to the water vapor from the sampled dry air. This is in contrast with what has been
noted in PTR-MS studies (Inomata et al., 2008; Stönner et al., 2017).</p>
      <p id="d1e2730">In theory, it is possible to estimate the water concentration inside the flow tube to better predict the changes in the abundances of H<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and H<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O ions. Lacko et al. (2020) applied the following expression to estimate the water concentration:

            <disp-formula id="Ch1.E3" content-type="numbered"><label>2</label><mml:math id="M199" display="block"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>H</mml:mi><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where
            <disp-formula id="Ch1.E4" content-type="numbered"><label>3</label><mml:math id="M200" display="block"><mml:mrow><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mi>ln⁡</mml:mi><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>]</mml:mo><mml:mi mathvariant="normal">…</mml:mi></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          However, in the literature, <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has solely been determined at room temperature; thus, extrapolation cannot be directly performed to SCs or CCs. Alternatively we can use the mixing ratios of water in the sample flow to estimate the concentration of water molecules introduced in the flow tube (Table 1). The background [H<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O] has been estimated in the range of 10<inline-formula><mml:math id="M203" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (based on H<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O residual levels in the zero airflow, with <inline-formula><mml:math id="M206" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2 ppm corresponding to RH <inline-formula><mml:math id="M207" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01 %), while the increase in RH resulted in water concentrations introduced in the flow tube of the order of 10<inline-formula><mml:math id="M208" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, corresponding to around 5 % of the total number density. A similar approach was applied to estimate the concentrations of FM and GL inside the flow tube. Using mixing ratios of 50 up to 1200 ppb in the sample flow, the concentrations of the title VOCs were in the range of 10<inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M211" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and is thus several order of magnitude lower than [H<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O].</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Formaldehyde determination using SIFT-MS</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Experimental calibration of formaldehyde under SCs and CCs</title>
      <p id="d1e3063">Figure 3 displays the typical calibration curves of FM operating SIFT-MS under standard and custom conditions. The slope of the linear fit of experimental results corresponds to the calibration factor of the compound of interest. In both cases, a linear response (<inline-formula><mml:math id="M213" 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="M214" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.997) of the instrument is noticed on the entire concentration range explored. However, at 70 % of RH, the experimental data points are more scattered, resulting in a lower precision fit. In Table 2, the calibration factors at each <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio are summarized. Under CCs, the sensitivity of SIFT-MS towards FM is increased by a factor of ca. 2, compared to SCs. In addition, considering the experimental uncertainties, under SCs, the SIFT-MS response is not influenced by the level of RH used, while under CCs the sensitivity of the
instrument is reduced by a factor of 2 from dry conditions (<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M217" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01) to 70 % (<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>). Actually, a careful look at the data presented in Table 2 points out that SIFT-MS sensitivity is not impacted by water presence when the relative ratio of <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is below ca. 0.55,
irrespective of the SIFT-MS operation mode. Under CCs, to express the relative humidity dependence of the instrument sensitivity at the mass peak of 31, the calibration factors were plotted as a function of the <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio, using a weighted fit power function (Fig. S2). The weighted fitting considers the uncertainties denoted for each calibration factor. The following expression describes the instrument sensitivity under the SCs for the mass peak of 31:
              <disp-formula id="Ch1.E5" content-type="numbered"><label>4</label><mml:math id="M221" display="block"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">F</mml:mi><mml:mn mathvariant="normal">31</mml:mn></mml:msubsup><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">counts</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">per</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn mathvariant="normal">162</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">82.3</mml:mn><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2.41</mml:mn></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Contrariwise, in the literature it is reported that the sensitivity of a PTR-MS is massively reduced with RH. For instance, in the study of Stönner et al. (2017), the PTR-MS sensitivity was reduced by a factor of 5 or even greater when the relative ratio of H<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O to H<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M226" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> masses (measured as <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">39</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">21</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) varies from <inline-formula><mml:math id="M228" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.1 to 0.4.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3313">Calibration curves of FM at the <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 31, derived from the H<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion under dry conditions. The error bars on the <inline-formula><mml:math id="M232" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis are 5 % (extreme value) and correspond to the 2<inline-formula><mml:math id="M233" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> standard deviation of the averaged value of the SIFT-MS signal for each measurement. The errors reported on the <inline-formula><mml:math id="M234" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis are 8 % and correspond to the uncertainty given for the cross section value of FM (4 %) and other systematic
uncertainties (in the flow of the mixture, sampling flow of the instrument, etc.) added in quadrature.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/2001/2022/amt-15-2001-2022-f03.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e3377">Calibration factors and detection limits of FM at the <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M236" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 31 as a function of relative humidity for standard and custom operational conditions of the SIFT-MS. The calibration factor is derived from the slope of a typical experiment shown in Fig. 3. The errors given in the calibration factors are the 2<inline-formula><mml:math id="M237" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> precision of the linear fit.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">RH gas</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">Standard operational conditions </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center">Custom operational conditions </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">flow (%)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Calibration factor</oasis:entry>
         <oasis:entry colname="col4">Detection limits</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Calibration factor</oasis:entry>
         <oasis:entry colname="col7">Detection limits</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(counts per ppb)</oasis:entry>
         <oasis:entry colname="col4">(ppt)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">(counts per ppb)</oasis:entry>
         <oasis:entry colname="col7">(ppt)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Dry</oasis:entry>
         <oasis:entry rowsep="1" colname="col2">0.001</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">84.8 <inline-formula><mml:math id="M240" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.8</oasis:entry>
         <oasis:entry colname="col4">400</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">0.005</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">163 <inline-formula><mml:math id="M241" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">10</oasis:entry>
         <oasis:entry rowsep="1" colname="col2">0.09</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">88.4 <inline-formula><mml:math id="M242" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.2</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry rowsep="1" colname="col5">0.28</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">148 <inline-formula><mml:math id="M243" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6</oasis:entry>
         <oasis:entry colname="col7">120</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">30</oasis:entry>
         <oasis:entry rowsep="1" colname="col2">0.26</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">83.0 <inline-formula><mml:math id="M244" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.2</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry rowsep="1" colname="col5">0.56</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">145 <inline-formula><mml:math id="M245" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4</oasis:entry>
         <oasis:entry rowsep="1" colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">50</oasis:entry>
         <oasis:entry colname="col2">0.41</oasis:entry>
         <oasis:entry colname="col3">82.7 <inline-formula><mml:math id="M246" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">0.79</oasis:entry>
         <oasis:entry colname="col6">115 <inline-formula><mml:math id="M247" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5</oasis:entry>
         <oasis:entry colname="col7">145</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">70</oasis:entry>
         <oasis:entry colname="col2">0.54</oasis:entry>
         <oasis:entry colname="col3">70.0 <inline-formula><mml:math id="M248" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12</oasis:entry>
         <oasis:entry colname="col4">500</oasis:entry>
         <oasis:entry colname="col5">1.0</oasis:entry>
         <oasis:entry colname="col6">82.5 <inline-formula><mml:math id="M249" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 14</oasis:entry>
         <oasis:entry colname="col7">200</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Comparison of formaldehyde determination between SIFT-MS and PTR-MS</title>
      <p id="d1e3722">The contrasting behavior between the SIFT-MS and PTR-MS instruments is related to their distinct operational principles and chemical reactions. Therefore, before proceeding with the chemistry of proton transfer reactions for FM measurement, it is essential to discuss the major differences between the conditions inside the flow tube of the SIFT-MS used in the current study
and inside the drift tube of the PTR-MS instruments deployed in the literature for FM characterization (Inomata et al., 2008; Stönner et al., 2017; Vlasenko et al., 2010; Warneke et al., 2011).</p>
      <p id="d1e3725">The pressure inside the flow tube of the Voice200 ULTRA instrument SIFT-MS instrument ranges between 0.6 and 0.9 Torr (Table 1), which is a factor of 2 lower than the pressure inside the drift tube in a PTR-MS. This pressure difference can impact the ion chemistry and, mainly, the formation of H<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O clusters. Besides the pressure, the main difference between the two instruments relies on the mean relative kinetic energy of reactants (KE<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula>). In the flow tube of the SIFT-MS, the KE<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> of the analytes and precursor ions depend mainly on the temperature of the tube. Under the SCs and CCs, the kinetic energy was calculated to be ca. 0.05 and 0.04 eV, respectively (Table 1). On the contrary, the application of an electrical field inside the drift tube of a PTR-MS leads to significantly higher KE<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula>values, reducing the sensitivity of the instrument. Typical values of KE<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> range between 0.10 to 0.23 eV in studies using PTR-MS for FM monitoring (Table 3; Inomata et al., 2008).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e3798">Rate coefficients of ion molecule chemical reactions of FM under typical PTR-MS studies retrieved from the literature and the conditions in which SIFT-MS is deployed in this work.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Values</oasis:entry>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">PTR-MS<inline-formula><mml:math id="M263" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">SIFT-MS </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1"/>
         <oasis:entry colname="col5">Standard operational</oasis:entry>
         <oasis:entry colname="col6">Custom operational</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1"/>
         <oasis:entry colname="col5">conditions</oasis:entry>
         <oasis:entry colname="col6">conditions</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">KE<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> (eV)</oasis:entry>
         <oasis:entry colname="col2">0.10</oasis:entry>
         <oasis:entry colname="col3">0.17</oasis:entry>
         <oasis:entry colname="col4">0.23</oasis:entry>
         <oasis:entry colname="col5">0.05</oasis:entry>
         <oasis:entry colname="col6">0.04</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (10<inline-formula><mml:math id="M266" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M267" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M268" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">1.6</oasis:entry>
         <oasis:entry colname="col3">1.4</oasis:entry>
         <oasis:entry colname="col4">1.3</oasis:entry>
         <oasis:entry colname="col5">3.2<inline-formula><mml:math id="M269" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">3.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (10<inline-formula><mml:math id="M271" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M272" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">1.0</oasis:entry>
         <oasis:entry colname="col3">2.9</oasis:entry>
         <oasis:entry colname="col4">5.0</oasis:entry>
         <oasis:entry colname="col5">0.2<inline-formula><mml:math id="M274" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.06<inline-formula><mml:math id="M275" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (10<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M278" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M279" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">2.65 <inline-formula><mml:math id="M280" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.35<inline-formula><mml:math id="M281" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (10<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M284" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M285" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">4.4 <inline-formula><mml:math id="M286" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (10<inline-formula><mml:math id="M288" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M289" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M290" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">Negligible </oasis:entry>
         <oasis:entry colname="col5">1.2</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M291" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">160</oasis:entry>
         <oasis:entry colname="col3">48</oasis:entry>
         <oasis:entry colname="col4">26</oasis:entry>
         <oasis:entry colname="col5">1600</oasis:entry>
         <oasis:entry colname="col6">5333</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">Negligible </oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M294" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 20</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e3801"><inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Data retrieved from the work of Inomata et al. (2008). Authors extracted the <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values, based on the work of Hansel et al. (1997). <inline-formula><mml:math id="M260" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Average value determined by Hansel et al. (1997). <inline-formula><mml:math id="M261" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Calculated by Bohme et al. (1979). <inline-formula><mml:math id="M262" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> Average value in the literature from the studies of Bohme et al. (1979) and Midey et al. (2000). The error corresponds to the standard deviation of the measurements.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS2.SSSx1" specific-use="unnumbered">
  <?xmltex \opttitle{Ion chemistry involved in formaldehyde measurement with H${}_{{3}}$O${}^{{+}}$ precursor ion}?><title>Ion chemistry involved in formaldehyde measurement with H<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M296" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion</title>
      <p id="d1e4460">The proton transfer reaction in the case of FM can occur according to the following reaction:
<?xmltex \setcounter{equation}{1}?>
              <disp-formula id="Ch1.R6.7" content-type="subnumberedon reaction"><label>R2a</label><mml:math id="M297" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The rate coefficient of Reaction (R2a), <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, is of the order of 3 <inline-formula><mml:math id="M299" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M300" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M301" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M302" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 297 <inline-formula><mml:math id="M303" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 K (Michel et al., 2005; Table 3) and slightly
dependent on KE<inline-formula><mml:math id="M304" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula>.</p>
      <p id="d1e4586">However, due to the low exothermicity of Reaction (R2a), the back reaction is also possible, as follows:
              <disp-formula id="Ch1.R6.8" content-type="subnumberedoff reaction"><label>R2b</label><mml:math id="M305" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Hansel et al. (1997) evidenced that Reaction (R2b) is strongly dependent on the KE<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> values of reactants. The highest the KE<inline-formula><mml:math id="M307" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> of the protonated FM (FM-H<inline-formula><mml:math id="M308" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>), the highest the probability for a successful collision. Thus, the rate coefficient of deprotonation reaction <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> increases. Table 3 summarizes the values of <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for different KE<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> used in PTR-MS studies and under SC or CC conditions of the SIFT-MS. Furthermore, Reaction (R2b) also depends on the concentration of water molecules when evaluating the response of the SIFT-MS and PTR-MS instruments as a function of RH. Therefore, the contribution of these two parameters, i.e., KE<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> of reactants and water concentration inside the reaction tubes, may explain the contrasting behavior between the two instruments. In SIFT-MS, due to the low kinetic energy of the reactants, the protonation of FM is strongly favored. Indeed, the <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratio is ca. 1600 and ca. 5300, respectively, under SCs and CCs. It has to be noted that an increase in the water concentration due to the RH variation in the analytes shows a negligible impact on the <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratio. It can also be suggested that the higher <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratio under CCs could explain the amplification by a factor of ca. 1.9 of the FM sensitivity compared to SCs. On the contrary, in the case of PTR-MS where higher kinetic energies are achieved, the relative ratio of <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> remains below 160 and possibly goes down to 26. Thus, a substantial increase in the  water concentration makes Reaction (R2b) more impactful, and
the sensitivity of the instrument is strongly decreased.</p>
      <p id="d1e4809">Although solely the <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M318" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 31 is used to monitor FM, in SIFT-MS other ion reactions can occur and form a protonated methyl hydroperoxide (PMH) complex with <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M320" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 49 (Hansel et al., 1997). These ion reactions are not expected to occur in PTR-MS due to the high KE<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> values. These reactions
are strongly dependent on water concentrations in the flow tube, and they are competitive with Reactions (R2a) and (R2b). However, their contribution to the ion chemistry inside the flow tube of the SIFT-MS is expected to be of minor importance, especially under SCs. Indeed, under SCs, the calibration factor of FM is not impacted by increasing water concentration by almost 540 times
(considering the <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios calculated under dry and 70 % of RH). However, since their occurrence cannot be excluded, and they could play a role for <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios above 0.55, these reactions are discussed in the following.</p>
      <p id="d1e4896">The protonation of FM can occur through ligand switching from the hydronium water cluster, H<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, to form PMH through the following reaction:<?xmltex \setcounter{equation}{2}?>
              <disp-formula id="Ch1.R9.10" content-type="subnumberedon reaction"><label>R3a</label><mml:math id="M327" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            At room temperature, the rate coefficient of this reaction has been estimated to be (2.65 <inline-formula><mml:math id="M328" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.35) <inline-formula><mml:math id="M329" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M330" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M331" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M332" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which is calculated from the average of the values in the literature (Bohme et al., 1979; Midey et al., 2000), and the error corresponds to the standard deviation of the measurements. The rate coefficient of the back Reaction (R3b) was estimated to be around 6 times lower  (4.4 <inline-formula><mml:math id="M333" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1) <inline-formula><mml:math id="M334" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M335" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M336" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M337" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, as follows:
              <disp-formula id="Ch1.R9.11" content-type="subnumberedoff reaction"><label>R3b</label><mml:math id="M338" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Reaction (R3) is expected to be highly sensitive to RH, i.e., the water concentrations in the flow tube. On the one hand, the increase in water concentration will increase the concentration of H<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, enhancing Reaction (R3a). On the other hand, the excess of water compared to FM enhances Reaction (R3b). Therefore, the impact of Reaction (R3) in the ion chemistry occurring in the flow tube of SIFT-MS is linked with the relative ratio of <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. However, as mentioned above, under SCs, the calibration factor at <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 31 remains constant within the experimental uncertainties and the RH
range studied (0 %–70 %), and thus, Reaction (R3) seems to have a insignificant impact on the sensitivity of the instrument. However, in case of CCs, where the <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is greater than 0.55, the gradual reduction in FM sensitivity could be due to the competition between Reactions (R2a) and (R3a).</p>
      <p id="d1e5243">An alternative pathway of the PMH formation is through Reaction (R4) in presence of a third body and water molecules, as follows:
              <disp-formula id="Ch1.R12" content-type="numbered reaction"><label>R4</label><mml:math id="M345" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Reaction (R4) is an association reaction competitive with Reaction (R2b) and depends on the total pressure of the reaction system and the kinetic energy of reactants. In the presence of a third body, the FM-H<inline-formula><mml:math id="M346" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and water molecules can lose part of their energy through collisions and further stabilize to form PMH, increasing the rate coefficient of <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Therefore, it
is expected that the rate coefficient of this association reaction is enhanced with increasing pressure. Under a given pressure, <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is reduced as KE<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> increases because the third body fails to stabilize reactants. Hansel et al. (1997) have studied the pressure dependence of the rate coefficient <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at 0.05 eV, i.e., with KE<inline-formula><mml:math id="M351" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> values similar to SIFT-MS SCs used in the present study. The rate coefficient of the ternary association at room temperature proposed by these authors was <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M353" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5.7 <inline-formula><mml:math id="M354" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M355" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M356" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M357" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. They concluded that, for KE<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula> greater than 0.06 eV, <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is negligible compared to <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. For that
reason, this reaction is not taken into account in most of the PTR-MS studies. Nevertheless, Reaction (R4) could contribute to SIFT-MS response.</p>
      <p id="d1e5458">Indeed, we estimated that, under SCs and CCs of SIFT-MS, the binary rate coefficient of the association reaction at room temperature and the established pressures is greater than 1.2 <inline-formula><mml:math id="M361" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M362" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M363" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and, thus, higher than <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Table 3). This value is calculated as the product of <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with the number density inside the flow tube of SIFT-MS. However, it remains around 260 times lower than FM protonation. At this point, it should be noted that the value of 1.2 <inline-formula><mml:math id="M367" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M368" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M369" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M370" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> should be considered as un upper limit of the contribution of <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction, since, under both SCs and CCs, the flow tube was operated above room temperature, and thus, a lower rate coefficient for <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is anticipated (ternary association
reactions decrease with increasing temperature). The importance of Reaction (R4) is expected to be enhanced at high water concentrations. Hansel et al. (1997) reported that <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is increasing from dry conditions to low concentrations of water to reach a maximum value, and then it decreases with the extra addition of
water due to Reaction (R3b), which is around 37 times faster than Reaction (R4). Note that the absolute values cannot be extrapolated from their data. To determine the role of Reaction (R4), it is essential to remember that it is competing with Reaction (R1) for hydronium ion formation. Although <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has not been determined for the temperatures of 323 and 393 K, considering that H<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> is in high excess compared to FM, Reaction (R1) is expected to be the dominant one.</p>
</sec>
<sec id="Ch1.S3.SS2.SSSx2" specific-use="unnumbered">
  <title>Wrap up on formaldehyde determination</title>
      <p id="d1e5636">In the case of SIFT-MS, the ion chemistry of FM is mainly controlled by Reactions (R2a) and (R2b). The increased sensitivity observed under CC conditions is mainly linked to the higher <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values achieved compared with SCs. The low kinetic energy of reactants in the SIFT-MS flow tube is the reason why the sensitivity of the instrument is not significantly impacted by RH. This behavior contrasts with PTR-MS. Reactions (R3) and (R4), involving PMH production
and inducing a lower sensitivity at the mass peak of 31, seem to be of minor importance or at least to be in an equilibrium state for <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> below 0.55. Above that threshold, their occurrence could explain a lower sensitivity, but this point needs further investigation to be experimentally validated. The detection limit of FM is 450 <inline-formula><mml:math id="M379" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 50 ppt under SCs. The CCs
allow decreasing the detection limits of the SIFT MS instrument by a factor of ca. 4 for 0 %–50 % RH (100 ppt) and by a factor of 2 under 70 % RH (200 ppt; Table 2). These detection limits, based on a signal to noise ratio, <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M381" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.3, are comparable to, or lower than, those reported in the PTR-MS studies that mentioned DLs between 200–500 ppt with <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M383" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2 (Inomata et al., 2008) and DLs of 100 ppt under dry and 300 ppt under humid conditions, using <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M385" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 (Warneke et al., 2011), and close to the most performance spectroscopic techniques noting DLs at around 80 ppt
(Catoire et al., 2012; Winkowski and Stacewicz, 2020).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Glyoxal determination with SIFT-MS</title>
      <p id="d1e5756">This section is dedicated to the evaluation of the performances of the SIFT-MS instrument to determine GL in the ppb range as a function of RH. To that end, SIFT-MS is operated under both SCs and CCs, with a focus on the chemistry of H<inline-formula><mml:math id="M386" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M387" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and NO<inline-formula><mml:math id="M388" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ions. Note that, O<inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ion is not considered in the present study due to a significant fragmentation of the molecular GL induced by these ions and a subsequent lower sensitivity that is strongly impacted by RH.</p>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Experimental calibration of glyoxal as a function of RH</title>
      <p id="d1e5805">Figure 4 displays a typical calibration experiment of GL deploying SIFT-MS under SCs and recording the mass peak of 59 (C<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>), with H<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M394" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> as precursor ion. A linear response (<inline-formula><mml:math id="M395" 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="M396" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.999) of the instrument is noticed on the entire concentration range explored. The data points presented in Fig. 4 are obtained from two different GL syntheses and on 3 different days dispatched over 3 months. Table 4 summarizes the calibration factors and corresponding
uncertainties retrieved for the mass peaks used to record GL under SCs and CCs.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e5877">Calibration curves of GL at the <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59 derived from the H<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M399" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion under dry conditions. The error bars on the <inline-formula><mml:math id="M400" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis are 5 % (extreme value) and correspond to the 2<inline-formula><mml:math id="M401" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> standard deviation of the averaged value of the SIFT-MS signal for each measurement. The errors on the <inline-formula><mml:math id="M402" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis are 8 % and correspond to the uncertainty given for the cross section value of GL (4 %) and other systematic uncertainties (in the flow of the mixture, sampling flow of the instrument, etc.) added in quadrature. Circles correspond to experiments carried out on different days (13 and 16 March 2020) from the same gas mixture. Squares correspond to experiments carried out almost 3 months later (5 June 2020) with a new gas mixture and synthesis of GL.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/2001/2022/amt-15-2001-2022-f04.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e5941">Calibration factors and relative ratios determined for GL under SCs and CCs at the <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59 (C<inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 88 (C<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:mrow></mml:math></inline-formula>NO<inline-formula><mml:math id="M411" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>), using the H<inline-formula><mml:math id="M412" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M413" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and NO<inline-formula><mml:math id="M414" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ions, respectively. The errors quoted correspond to the 2<inline-formula><mml:math id="M415" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> precision of the fit to obtain the calibration factors.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4" align="center" colsep="1">Standard conditions (SCs) </oasis:entry>
         <oasis:entry namest="col5" nameend="col8" align="center">Custom conditions (CCs) </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center">Calibration factors </oasis:entry>
         <oasis:entry colname="col4">Relative</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col6" nameend="col7" align="center">Calibration factors </oasis:entry>
         <oasis:entry colname="col8">Relative</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center">(counts per ppb) </oasis:entry>
         <oasis:entry rowsep="1" colname="col4">ratios</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center">(counts per ppb) </oasis:entry>
         <oasis:entry rowsep="1" colname="col8">ratios</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 88</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">59</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">88</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 88</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">59</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">88</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(H<inline-formula><mml:math id="M424" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M425" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(NO<inline-formula><mml:math id="M426" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">(H<inline-formula><mml:math id="M427" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M428" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(NO<inline-formula><mml:math id="M429" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.001</oasis:entry>
         <oasis:entry colname="col2">71.9 <inline-formula><mml:math id="M430" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.4</oasis:entry>
         <oasis:entry colname="col3">0.41 <inline-formula><mml:math id="M431" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col4">175</oasis:entry>
         <oasis:entry colname="col5">0.005</oasis:entry>
         <oasis:entry colname="col6">161 <inline-formula><mml:math id="M432" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1</oasis:entry>
         <oasis:entry colname="col7">3.20 <inline-formula><mml:math id="M433" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06</oasis:entry>
         <oasis:entry colname="col8">50.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.06</oasis:entry>
         <oasis:entry colname="col2">36.2 <inline-formula><mml:math id="M434" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6</oasis:entry>
         <oasis:entry colname="col3">0.45 <inline-formula><mml:math id="M435" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry colname="col4">81.0</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–​​​​​​​</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.09</oasis:entry>
         <oasis:entry colname="col2">32.0 <inline-formula><mml:math id="M436" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9</oasis:entry>
         <oasis:entry colname="col3">0.44 <inline-formula><mml:math id="M437" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry colname="col4">72.7</oasis:entry>
         <oasis:entry colname="col5">0.28</oasis:entry>
         <oasis:entry colname="col6">32.9 <inline-formula><mml:math id="M438" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5</oasis:entry>
         <oasis:entry colname="col7">3.41 <inline-formula><mml:math id="M439" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07</oasis:entry>
         <oasis:entry colname="col8">9.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.27</oasis:entry>
         <oasis:entry colname="col2">12.1 <inline-formula><mml:math id="M440" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>
         <oasis:entry colname="col3">0.48 <inline-formula><mml:math id="M441" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05</oasis:entry>
         <oasis:entry colname="col4">25.2</oasis:entry>
         <oasis:entry colname="col5">0.56</oasis:entry>
         <oasis:entry colname="col6">11.4 <inline-formula><mml:math id="M442" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1</oasis:entry>
         <oasis:entry colname="col7">3.68 <inline-formula><mml:math id="M443" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18</oasis:entry>
         <oasis:entry colname="col8">3.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.41</oasis:entry>
         <oasis:entry colname="col2">7.6 <inline-formula><mml:math id="M444" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>
         <oasis:entry colname="col3">0.50 <inline-formula><mml:math id="M445" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry colname="col4">15.2</oasis:entry>
         <oasis:entry colname="col5">0.79</oasis:entry>
         <oasis:entry colname="col6">6.9 <inline-formula><mml:math id="M446" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1</oasis:entry>
         <oasis:entry colname="col7">4.30 <inline-formula><mml:math id="M447" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05</oasis:entry>
         <oasis:entry colname="col8">1.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.54</oasis:entry>
         <oasis:entry colname="col2">5.5 <inline-formula><mml:math id="M448" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0</oasis:entry>
         <oasis:entry colname="col3">0.52 <inline-formula><mml:math id="M449" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col4">10.5</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">4.2 <inline-formula><mml:math id="M450" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2</oasis:entry>
         <oasis:entry colname="col7">4.47 <inline-formula><mml:math id="M451" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07</oasis:entry>
         <oasis:entry colname="col8">0.94</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e6690"><bold>(a)</bold> Calibration factors of GL at <inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59, derived from the H<inline-formula><mml:math id="M453" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M454" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion under SC (filled symbols) and CC (open symbols) conditions. The errors quoted correspond to the 2<inline-formula><mml:math id="M455" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> precision of the fit to obtain the calibration factors. The lines are the fitting of calibration factors with the following empirical expression: <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mn mathvariant="normal">59</mml:mn></mml:msubsup><mml:mo>(</mml:mo><mml:mi mathvariant="normal">counts</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">per</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">ppb</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>a</mml:mi><mml:mrow><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mfrac><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mfenced><mml:mi>c</mml:mi></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>, where, for SCs <inline-formula><mml:math id="M457" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M458" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.99, <inline-formula><mml:math id="M459" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M460" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.04, and <inline-formula><mml:math id="M461" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M462" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.20 and CCs <inline-formula><mml:math id="M463" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M464" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.53, <inline-formula><mml:math id="M465" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M466" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.03, and <inline-formula><mml:math id="M467" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M468" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.74. <bold>(b)</bold> GL normalized sensitivity at the mass peak of 59 of SIFT-MS (in black) and PTR-MS (in red) versus the <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">39</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">21</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios. For SIFT-MS, the reduction in instrument sensitivity is similar for both SC and CC conditions. For comparison purposes, the data presented in Fig. 5 of Stönner et al. (2017) study were extracted and displayed in the graph. A steeper decrease in GL sensitivity is noticed with SIFT-MS at lower levels of humidity than PTR-MS.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/2001/2022/amt-15-2001-2022-f05.png"/>

          </fig>

      <p id="d1e6917">Considering the H<inline-formula><mml:math id="M471" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M472" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion and the mass peak of 59, an increase in the sensitivity of the instrument by a factor of 2 is noticed under CCs compared to SCs (left panel of Fig. 5). Note that a similar enhancement is observed for FM (Fig. 3 and Table 2). Nevertheless, the sensitivity is diminished with increasing RH under both SCs and CCs. To evaluate whether the impact of water to GL detection is similar under both operational conditions, we plotted the normalized sensitivity (calibration factor dry<inline-formula><mml:math id="M473" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>calibration factor humid) versus <inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios, and the results are also displayed in Fig. 5 (right panel). It seems that the impact of water to the sensitivity of  the instrument at the mass peak of 59 is similar for both SCs and CCs. The calibration factors were fitted versus the  <inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios, and the sensitivity of the instrument under SCs and CCs are given by the following expression:

              <disp-formula id="Ch1.E13" content-type="numbered"><label>5</label><mml:math id="M476" display="block"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">F</mml:mi><mml:mn mathvariant="normal">59</mml:mn></mml:msubsup><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="normal">counts</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">per</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>a</mml:mi><mml:mrow><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi>c</mml:mi></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M477" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M478" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.99, <inline-formula><mml:math id="M479" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M480" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.04, and <inline-formula><mml:math id="M481" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M482" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.20 for SCs and <inline-formula><mml:math id="M483" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M484" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.53, <inline-formula><mml:math id="M485" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M486" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.03, and <inline-formula><mml:math id="M487" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M488" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.74
for CCs, respectively.</p>
      <p id="d1e7124">Under dry conditions, the detection limits for GL at the mass peak of 59 are determined as 280 <inline-formula><mml:math id="M489" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 30 and 120 <inline-formula><mml:math id="M490" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12 ppt for SCs and CCs, respectively, for
1 min integration time (Tables S1 and S2). Nevertheless, with the increase in relative humidity to 70 %, detection limits are increased up to 6 <inline-formula><mml:math id="M491" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 ppb.</p>
      <p id="d1e7148">The detection of GL was also achieved using the NO<inline-formula><mml:math id="M492" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion at the mass peak of 88. Table 4 displays the calibration factors determined. Under SCs, we noticed a weaker response of the instrument when using the NO<inline-formula><mml:math id="M493" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion compared to H<inline-formula><mml:math id="M494" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M495" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ion. Remarkably, the introduction
of water had no significant impact on the sensitivity of the mass peak of 88. In fact, at the highest RH corresponding to <inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M497" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.54, the instrument was 20 % more sensitive than under dry conditions. Operating the instrument under CCs, increased the sensitivity at the mass peak of 88 by a factor of 8. Again, the introduction of water improved the  detection of GL at the mass peak of 88 but by around 28 % this time. Interestingly, as displayed in Table 4 at high water concentrations, peak 88 is more sensitive than mass peak of 59.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Comparison of glyoxal determination between SIFT-MS and PTR-MS</title>
      <p id="d1e7221">There are only a few studies in the literature exploring the measurement of GL using PTR-MS. Thalman et al. (2015) performed a thorough inter-comparison study of spectrometric and spectroscopic techniques for the detection of GL in an atmospheric simulation chamber. In their experiments, the authors used concentrations of GL up to 32 ppb, but they were unable to detect GL with their PTR-MS, attesting of the low sensitivity of the instrument (Thalman et al., 2015). However, in the recent study of Stönner et al. (2017), GL was detected at low concentrations deploying an IONICON PTR-TOF-MS 8000 instrument.
Interestingly, these authors observed a decreasing sensitivity of the PTR-MS instrument with the increasing water concentration, which is similar to our study. As can be seen in Fig. 5, the decrease in GL sensitivity at the mass peak of 59 is steeper in our SIFT-MS compared with PTR-MS (data are also presented in
Table S3). Stönner et al. (2017), estimated the detection limits for GL at 250 ppt under dry and 700 ppt at the highest level of RH used.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS3.SSSx1" specific-use="unnumbered">
  <?xmltex \opttitle{Ion chemistry involved in glyoxal measurement with H${}_{{3}}$O${}^{{+}}$ precursor ion}?><title>Ion chemistry involved in glyoxal measurement with H<inline-formula><mml:math id="M498" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M499" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion</title>
      <p id="d1e7250">Considering the ion chemistry of H<inline-formula><mml:math id="M500" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M501" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, the protonation of GL can occur through the following reaction:
<?xmltex \setcounter{equation}{4}?>
              <disp-formula id="Ch1.R14.15" content-type="subnumberedon reaction"><label>R5a</label><mml:math id="M502" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The rate coefficient of Reaction (R5a), <inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, is 1.9 <inline-formula><mml:math id="M504" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M505" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M506" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M507" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and is competitive with the hydronium formation (Reaction R1). Due to the low proton affinity of GL, the deprotonation reaction is expected to
occur, as reported by Reaction (R5b), as follows:
              <disp-formula id="Ch1.R14.16" content-type="subnumberedoff reaction"><label>R5b</label><mml:math id="M508" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The rate coefficient of Reaction (R5b) has not been determined in literature, and, similarly to Reaction (R2b), it could depend on KE<inline-formula><mml:math id="M509" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula>. Considering this scenario, the increased sensitivity of the instrument under CCs could be due to higher <inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> relative ratios, which is similar to what is noticed for FM. The decreasing sensitivity of the SIFT-MS with an increasing water concentration could also be due to the competition between Reactions (R5a) and (R5b). In this case, Reaction (R5b) should be relatively fast, even under dry conditions. Its impact would be enhanced with the addition of water to the reaction system, leading to initial reactants. Note that Stönner at al. (2017) made a similar hypothesis to explain the decreased sensitivity with the water concentration of
their PTR-MS.</p>
      <p id="d1e7493">Another plausible explanation for the decreasing sensitivity of the SIFT-MS at the mass peak of 59 with increasing RH could be Reaction (R6), which acts competitively with Reaction (R5a), due to the increase in water clustering in the flow tube of the SIFT-MS. Reaction (R6) leads to the formation of the mass peak with <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M512" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 77.
              <disp-formula id="Ch1.R17" content-type="numbered reaction"><label>R6</label><mml:math id="M513" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            To evaluate the effect of water clustering, the complete mass spectrum pattern of GL (concentration of 300 ppb) was recorded for all RH levels under SCs and CCs. Typical normalized spectra under CCs for dry and 50 % of RH are presented in Fig. S4. Note that the CC operational conditions enhance the water clustering due to the lower temperature and higher pressure in the flow tube (reflected also in the <inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios). Under dry conditions, the main peak observed is the <inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M516" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 59. The intensity of the <inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M518" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 77 corresponds solely to 1 % of the peak at 59. Interestingly, a peak at <inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M520" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 31 was observed, corresponding to ca. 14 % of the peak at 59. Under 50 % of RH, the intensity of the mass peak of 59 is diminished, and the primary peak in the mass spectrum is the 31. However, the mass peak of 77 is not impacted by RH and has a similar absolute intensity with dry conditions. Therefore, our results clearly demonstrated that the decrease in the instrument sensitivity in the mass of 59 with the increasing RH is not due to water clustering, and thus Reaction (R6) has a negligible contribution to the sensitivity of our
SIFT-MS.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e7676"><bold>(a)</bold> SIFT-MS counts at the mass peak of 59 (in black) of GL-H<inline-formula><mml:math id="M521" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and the mass peak of 31 (in red) of FM-H<inline-formula><mml:math id="M522" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, recorded by SIFT-MS under SC conditions, using around 750 ppb of GL operating the instrument under SCs. <bold>(b)</bold> Normalized sensitivity at the mass peak of 59 (in black) of GL-H<inline-formula><mml:math id="M523" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and the mass peak of 31 (in red) of FM-H<inline-formula><mml:math id="M524" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> recorded with SIFT-MS under SCs, based on the results of the current study (circles) and Lacko et al. (2020; squares; data extracted from their Fig. 3) versus the <inline-formula><mml:math id="M525" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> value Eq. (3).</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/2001/2022/amt-15-2001-2022-f06.png"/>

          </fig>

      <p id="d1e7735">The observation of the mass peak of 31 in the mass spectrum of GL could arise from the fragmentation of protonated GL (C<inline-formula><mml:math id="M526" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M527" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> or GL-H<inline-formula><mml:math id="M529" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>) to protonated FM (CH<inline-formula><mml:math id="M530" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M531" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> or FM-H<inline-formula><mml:math id="M532" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, with <inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M534" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 31) inside the flow tube. The latter has been observed in the drift tube of the PTR-MS used by Stönner et al. (2017). Authors report a
considerably larger signal on FM-H<inline-formula><mml:math id="M535" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> than GL-H<inline-formula><mml:math id="M536" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. In a recent study, Lacko et al. (2020) studied the fragmentation of GL-H<inline-formula><mml:math id="M537" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> deploying a SIFT-MS. The authors evidenced the strong impact of water concentration on GL-H<inline-formula><mml:math id="M538" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> fragmentation, leading to FM-H<inline-formula><mml:math id="M539" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. Interestingly, they have not observed FM-H<inline-formula><mml:math id="M540" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> under dry conditions. Thus, the authors proposed that it should be formed only in the presence of water. Similar conclusions are reported by Michel et al. (2005). Finally, Lacko et al. (2020) combined their experimental observations with numerical modeling and proposed a sequence of reactions to explain the fragmentation of GL-H<inline-formula><mml:math id="M541" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> to FM-H<inline-formula><mml:math id="M542" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. The discussion of these reaction pathways is beyond the scope of
this study. Nevertheless, to feed the discussion of the paper, we present them with the following simple expression reported by Reaction (R7):
              <disp-formula id="Ch1.R18" content-type="numbered reaction"><label>R7</label><mml:math id="M543" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">products</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            In this study, we have further explored the possible fragmentation of GL-H<inline-formula><mml:math id="M544" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> to FM-H<inline-formula><mml:math id="M545" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. These experiments have been performed under both SCs and CCs. Note that our observations were found to be independent of the GL concentration introduced. First, we discuss our observations under SCs and then under CCs. The left panel of Fig. 6 displays the variation in the signals recorded for FM-H<inline-formula><mml:math id="M546" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and GL-H<inline-formula><mml:math id="M547" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> with <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios. For comparison purposes, we present the normalized signals versus <inline-formula><mml:math id="M549" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> factor as determined in the study of Lacko et al. (2020), i.e., Eq. (3), in the right panel of Fig. 6 (data are also given in Table S4).</p>
      <p id="d1e8016"><italic>Fragmentation of GL-H</italic><inline-formula><mml:math id="M550" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> <italic>under SCs and dry conditions.</italic> In contrast with the work of Lacko et al. (2020),​​​​​​​ we observe the formation of FM-H<inline-formula><mml:math id="M551" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> even under dry conditions (Lacko et al., 2020).</p>
      <p id="d1e8041">The FM-H<inline-formula><mml:math id="M552" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> signal recorded corresponds to 27 % of GL-H<inline-formula><mml:math id="M553" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. Therefore, it is possible that, in our SIFT-MS, FM-H<inline-formula><mml:math id="M554" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> is formed through alternative pathways. We propose that, under our experimental conditions, GL-H<inline-formula><mml:math id="M555" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> can either thermally decompose inside the flow tube (operated at 393 K under SCs; Table 1) or fragmentizes through collisions with ions inside the flow tube, leading to FM-H<inline-formula><mml:math id="M556" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> Reaction (R8). Both pathways are expected to be enhanced at higher temperatures and higher KE<inline-formula><mml:math id="M557" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula>. Note that GL-H<inline-formula><mml:math id="M558" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> thermal fragmentation is expected to be significantly lower in the system of Lacko et al. (2020), where the flow tube temperature was 300 K, and in the PTR-MS, where the drift tube temperature was set to 333 K and higher pressure (Stönner et al., 2017).
              <disp-formula id="Ch1.R19" content-type="numbered reaction"><label>R8</label><mml:math id="M559" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            We expect that both the thermal decomposition and collision fragmentation pathways are independent of the water concentration inside the SIFT flow tube. At this point, it should be noted that possible thermal decomposition of molecular GL in the sample plate or inside the flow tube should be considered negligible. In particular, the most probable thermal decomposition pathway of molecular GL is through the following reaction (Saito et al., 1984):
              <disp-formula id="Ch1.R20" content-type="numbered reaction"><label>R9</label><mml:math id="M560" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The molecular FM could then react with H<inline-formula><mml:math id="M561" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M562" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> through Reaction (R2a) and lead to the formation of FM-H<inline-formula><mml:math id="M563" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. However, the energy barrier for the thermal decomposition of the lowest transition state to give products in Reaction (R9) is around 230 kJ mol<inline-formula><mml:math id="M564" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Koch et al., 2001). Therefore, it is unlikely to occur at these temperatures and in our system. To further validate this point, we have performed a series of experiments introducing GL inside the optical cell of the FTIR spectrometer operated at 393 K and recording sequential spectra of GL for several hours. No thermal decomposition was noticed as previously reported in the literature (Feierabend et al., 2008).</p>
      <p id="d1e8227"><italic>Fragmentation of GL-H</italic><inline-formula><mml:math id="M565" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> <italic>under SCs and humid conditions.</italic> By increasing the water concentration from dry conditions to 10 % of RH (corresponding to an increase by a factor of 90 to the <inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios; Table 4), the signal of GL-H<inline-formula><mml:math id="M567" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> is reduced by 56 %, while the formation of FM-H<inline-formula><mml:math id="M568" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> is enhanced by 40 % (see also Fig. 6). This
clearly shows that water plays a role in the formation of FM-H<inline-formula><mml:math id="M569" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, meaning that the reduced sensitivity of GL and the processes proposed by Lacko et al. (2020), Reaction (R7), are probably taking place. A further increase in the water concentrations in the flow tube had no impact on the formation FM-H<inline-formula><mml:math id="M570" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, but GL sensitivity is still reduced. Essentially, using SIFT-MS under SC conditions, the formation of FM-H<inline-formula><mml:math id="M571" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> is less impacted by water concentrations than in other studies in the literature. Indeed, as displayed in the right panel of Fig. 6, although the GL sensitivity loss is steeper in our study compared to Lacko et al. (2020), the corresponding formation of FM-H<inline-formula><mml:math id="M572" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> is substantially lower.</p>
      <p id="d1e8316">To conclude, under SC conditions, the fragmentation of GL-H<inline-formula><mml:math id="M573" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> to FM-H<inline-formula><mml:math id="M574" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> occurs in the flow tube of the SIFT-MS, but it is less impacted by water concentrations than PTR-MS. Alternatively, we propose that GL-H<inline-formula><mml:math id="M575" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> decomposes either thermally or through ion collisions, leading to FM-H<inline-formula><mml:math id="M576" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. Therefore, it seems that the abrupt loss of GL sensitivity with water concentrations is mainly due to the competition of Reactions (R5a) and (R5b). Especially under the temperature of 393 K, the deprotonation Reaction (R5b) is expected to be faster than room temperature and to play a more significant role than in the work of Lacko et al. (2020).</p>
      <p id="d1e8355"><italic>Fragmentation of GL-H</italic><inline-formula><mml:math id="M577" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> <italic>under CCs and dry conditions.</italic> Under custom conditions (CCs) of the SIFT-MS, the formation of FM-H<inline-formula><mml:math id="M578" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> from the fragmentation of GL-H<inline-formula><mml:math id="M579" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, is also observed. Nevertheless, the ratio of FM-H<inline-formula><mml:math id="M580" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> to GL-H<inline-formula><mml:math id="M581" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> signals is significantly diminished. Indeed, under dry conditions the fragmentation is reduced from 27 % to ca. 14 % for SCs and CCs, respectively. This observation supports
our previous hypothesis, which is that GL-H<inline-formula><mml:math id="M582" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> could decompose inside our SIFT-MS flow tube. Both the temperature decrease and pressure increase, changing from SCs to CCs, tend to suppress the decomposition of GL-H<inline-formula><mml:math id="M583" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e8427"><italic>Fragmentation of GL-H</italic><inline-formula><mml:math id="M584" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> <italic>under CCs and humid conditions.</italic> A similar reduction in the fragmentation of GL-H<inline-formula><mml:math id="M585" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> was noticed in presence of water when comparing the signals recorded under SCs and CCs for <inline-formula><mml:math id="M586" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> equal to 0.27 <inline-formula><mml:math id="M587" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 and 0.55 <inline-formula><mml:math id="M588" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01. As displayed
in Fig. S3, the decreased sensitivity of GL is similar under both SCs and CCs. Note that Fig. S3 should be viewed as a way to compare the impact of water concentrations on the fragmentation of GL-H<inline-formula><mml:math id="M589" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and the appearance of FM-H<inline-formula><mml:math id="M590" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. Essentially, the impact of water to the sensitivity of SIFT-MS to GL is independent of the operational conditions of the instrument.
However, with the increase in water concentration inside the flow tube from dry conditions to a value of 0.28 for <inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio (an increase by a factor of 56), the signal of FM-H<inline-formula><mml:math id="M592" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> increases by almost a factor of 3. Therefore, water plays a more important role for the presence of FM-H<inline-formula><mml:math id="M593" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> under CCs, and
we anticipate that reactions proposed by Lacko et al. (2020) can dominate Reaction (R7). Further increase in the water concentration in the flow tube reduced the signal of FM-H<inline-formula><mml:math id="M594" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. Although this looks like a paradox and in contradiction with the abovementioned discussion, we suggest that this decrease is related to the competition between Reactions (R7) and (R8), i.e., the deprotonation reaction of FM-H<inline-formula><mml:math id="M595" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> Reaction (R2b). Nevertheless, a more thorough investigation is necessary to support this point.</p>
      <p id="d1e8558">Therefore, we propose that the increased sensitivity of the instrument under CCs is mainly due to higher <inline-formula><mml:math id="M596" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios. The expected lower values of this <inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratio could explain the lower sensitivity to detecting GL in the presence of water. Nevertheless, the decreasing GL sensitivity with increasing RH could be also attributed to fragmentation of GL-H<inline-formula><mml:math id="M598" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> to FM-H<inline-formula><mml:math id="M599" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, which are both linked to thermal decomposition and reactions involving water molecules, as discussed by Lacko et al. (2020).</p>
</sec>
<sec id="Ch1.S3.SS3.SSSx2" specific-use="unnumbered">
  <?xmltex \opttitle{Ion chemistry involved in glyoxal measurement using NO${}^{{+}}$ precursor ion}?><title>Ion chemistry involved in glyoxal measurement using NO<inline-formula><mml:math id="M600" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion</title>
      <p id="d1e8644">The detection of GL in the flow tube of the SIFT-MS proceeds through the following reaction:
              <disp-formula id="Ch1.R21" content-type="numbered reaction"><label>R10</label><mml:math id="M601" display="block"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The rate coefficient measured at room temperature for Reaction (R10) is 8 <inline-formula><mml:math id="M602" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M603" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M604" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M605" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Michel et al., 2005), i.e., around 24 times below the protonation reaction of GL Reaction (R5a). The latter could explain the reduced sensitivity at the mass peak of 88 compared to the mass of 59 under dry conditions. Furthermore, Reaction (R10) is a three-body association reaction. In an association process, an intermediate species is formed
before the formation of the final products. The stability of this intermediate is both temperature and pressure dependent and determines the overall rate coefficient of the reaction. The increased sensitivity to the detection of GL under custom conditions is related to the temperature and pressure conditions existing in the flow tube. In particular, the decrease in the flow tube temperature, combined with a 20 % increase in the total pressure (from 0.65 to 0.85 Torr), resulted in a better stabilization of the adduct that leads to product formation for Reaction (R10) and, thus, improved sensitivity. Apparently, under our experimental conditions, the reaction of NO<inline-formula><mml:math id="M606" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> with GL is in the exponential part of a typical fall-off graph of an association
reaction (Guimbaud et al., 2007).</p>
      <p id="d1e8757">The positive impact of water concentrations on the detection of GL at the mass peak of 88 could be linked with the formation of a H<inline-formula><mml:math id="M607" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M608" display="inline"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M609" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> hydrate cluster at the mass peak of 48. Indeed, we have observed an increase in the abundance of the cluster with increasing RH. The following reaction could be proposed:
              <disp-formula id="Ch1.R22" content-type="numbered reaction"><label>R11</label><mml:math id="M610" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.8}{9.8}\selectfont$\displaystyle}?><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula>
            Although the rate coefficient of Reaction (R10) has not been measured in the literature, it has been showed that the reactions of H<inline-formula><mml:math id="M611" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M612" display="inline"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M613" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> with several VOCs are just as fast as, or even faster than, those with NO<inline-formula><mml:math id="M614" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ion (Michel et al., 2005). Mass scan spectra using the NO<inline-formula><mml:math id="M615" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ion were also collected, but besides the mass peak of 88, no other peaks that could be attributed to GL were observed.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e8919">SIFT-MS appears to be a powerful and reliable analytical tool for the real-time quantification of FM in laboratory studies and outdoor/indoor field environments. Remarkably, under SCs, the sensitivity of the instrument is not impacted by RH with a corresponding detection limit of ca. 500 ppt. Operating the instrument under CCs increased the sensitivity; however, for
<inline-formula><mml:math id="M616" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> above 0.58 the sensitivity is reduced and a correction factor should be applied. We recommend the operation of SIFT-MS under SCs for the measurement of ambient FM greater than 500 ppt. Furthermore, our strategy to operate the SIFT-MS instrument under different modes allowed us to shed light on the ion chemistry occurring in the flow tube and to identify the key reactions and processes that define the sensitivity of the instrument towards FM. A thorough comparison of our observations with the studies in the literature that are carried out with PTR-MS evidences that the strong decay of PTR-MS sensitivity with increasing RH is related to the application of the electrical field in the DRIFT tube. It enhances the rate coefficient of the
deprotonation reaction of FM. Regarding GL, we have performed a detailed research on the ion chemistry related to H<inline-formula><mml:math id="M617" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M618" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and NO<inline-formula><mml:math id="M619" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ions. Regarding H<inline-formula><mml:math id="M620" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M621" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, we evidenced a sharp decrease in the instrument sensitivity with increasing RH, similar to previous PTR-MS and SIFT-MS studies, due to GL-H<inline-formula><mml:math id="M622" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> fragmentation. Nevertheless, based on our experimental observations, we propose alternative pathways of GL-H<inline-formula><mml:math id="M623" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>
fragmentation, such as GL-H<inline-formula><mml:math id="M624" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> decomposition, which seems to be of greater importance than it has been considered previously in the literature. Based on the detection limits achieved with the H<inline-formula><mml:math id="M625" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M626" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ion, we suggest that SIFT-MS is not able to monitor GL in outdoor ambient air due to the strong impact of RH on SIFT-MS sensitivity. It should be clarified that, as shown in Fig. 5, the fitting of calibration factors with <inline-formula><mml:math id="M627" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio is feasible (see Fig. 5 caption), and thus the concentrations of glyoxal can be retrieved even under environments where the RH changes during the experiment by following the <inline-formula><mml:math id="M628" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">37</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio. Therefore, the major limitation is the instrument sensitivity and not the variation in the RH of the ambient environment. On the contrary, SIFT-MS can
be deployed efficiently in laboratory-scale studies (i.e., atmospheric simulation chambers and photochemical reactors) or indoor experimental rooms where GL concentrations are in the ppb range. In addition, we recommend that using the H<inline-formula><mml:math id="M629" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M630" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ion for the monitoring of GL concentrations should be performed with great caution due to the strong RH dependence and contribution to the signal of FM-H<inline-formula><mml:math id="M631" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. Nevertheless, deploying the NO<inline-formula><mml:math id="M632" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> precursor ion for the monitoring of GL seems to be ideal since the sensitivity of the instrument is slightly impacted by RH. The GL detection limits using NO<inline-formula><mml:math id="M633" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> are in the ppb range; however, we evidence that the slight pressure increase in the flow tube of the instrument can result in a vigorous increase in instrument sensitivity. Certainly, our research on the NO<inline-formula><mml:math id="M634" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> chemistry opens new pathways for GL quantification and detection in ambient air deploying soft ionization techniques, such as PTR-MS with a NO<inline-formula><mml:math id="M635" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ion, which are generally operated at higher pressures than SIFT-MS. Ultimately, our observations indicate that there is potential for sensitivity improvement for the SIFT-MS, and that it should be considered as
a promising tool for the real-time monitoring of VOCs with low proton transfer affinity.</p><?xmltex \hack{\clearpage}?>
</sec>

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

<app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title>List of abbreviations</title>
      <p id="d1e9145"><table-wrap id="Taba" position="anchor"><oasis:table><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CCs</oasis:entry>
         <oasis:entry colname="col2">Custom operational conditions of the SIFT-MS</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">F</mml:mi><mml:mn mathvariant="normal">31</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Calibration factor of formaldehyde at the mass peak of 31</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M637" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">F</mml:mi><mml:mn mathvariant="normal">59</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Calibration factor of glyoxal at the mass peak of 59</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M638" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Internal diameter of the flow tube</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DL</oasis:entry>
         <oasis:entry colname="col2">Detection limit</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DNPH</oasis:entry>
         <oasis:entry colname="col2">Dinitrophenylhydrazine</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DOAS</oasis:entry>
         <oasis:entry colname="col2">Differential optical absorption spectroscopy</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EAR</oasis:entry>
         <oasis:entry colname="col2">Electron attachment reaction</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M639" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Distance for a full mixing of neutral molecules with the carrier gas in the flow tube</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Carrier gas flow rate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Sample flow of pure water in the sample flow</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M642" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Total flow rate inside the flow tube</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">VOC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Sample flow of pure VOC (formaldehyde or glyoxal) in the sample flow</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FM</oasis:entry>
         <oasis:entry colname="col2">Formaldehyde</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FM-H<inline-formula><mml:math id="M644" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Protonated formaldehyde</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FTIR spectroscopy</oasis:entry>
         <oasis:entry colname="col2">Fourier transform infrared spectroscopy</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GL</oasis:entry>
         <oasis:entry colname="col2">Glyoxal</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GL-H<inline-formula><mml:math id="M645" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Protonated glyoxal</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HPLC</oasis:entry>
         <oasis:entry colname="col2">High-performance liquid chromatography</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IBBCEAS</oasis:entry>
         <oasis:entry colname="col2">Incoherent broadband cavity-enhanced absorption spectrometer</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M646" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Boltzmann constant</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">KE<inline-formula><mml:math id="M647" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cm</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Mean kinetic energy between reactants</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">KE<inline-formula><mml:math id="M648" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ion</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Kinetic energy of ions</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M649" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Length of the flow tube</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M650" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M651" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Masses of the carrier gas and the neutral reactant, respectively</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">ion</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Mass of reactant ion</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MFC</oasis:entry>
         <oasis:entry colname="col2">Mass flow controller</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M653" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Molecular density in the flow tube</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SCs</oasis:entry>
         <oasis:entry colname="col2">Standard operational conditions of the SIFT-MS</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SIFT-MS</oasis:entry>
         <oasis:entry colname="col2">Selected ion flow tube mass spectrometer</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SOA</oasis:entry>
         <oasis:entry colname="col2">Secondary aerosol formation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M654" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Pressure in flow tube</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PMH</oasis:entry>
         <oasis:entry colname="col2">Protonated methyl hydroperoxide</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PTR-MS</oasis:entry>
         <oasis:entry colname="col2">Proton transfer mass spectrometry</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RH</oasis:entry>
         <oasis:entry colname="col2">Relative humidity</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TDLAS</oasis:entry>
         <oasis:entry colname="col2">Tunable diode laser absorption spectrometer</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M655" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Reaction time inside the flow tube of the SIFT-MS</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M656" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Flow tube temperature</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M657" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Carrier gas velocity</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M658" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Ions flow velocity</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M659" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">H<inline-formula><mml:math id="M660" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O concentration in the flow tube</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M661" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">VOC</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">VOC (i.e., formaldehyde or glyoxal) concentration in the flow tube</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap></p>
</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e9774">All relevant data and supporting information have been provided in the Supplement.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e9777">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-15-2001-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-15-2001-2022-supplement</inline-supplementary-material>.<?xmltex \hack{\newpage}?></p></supplementary-material>
        </app-group><?xmltex \hack{~\\[176mm]}?><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e9788">AGZ realized the experiments and did the data treatment with MNR. MNR and FT designed the experiments and wrote the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e9794">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e9800">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e9806">The authors would like to thank Vincent Gaudion, for the technical support, and the reactivity group (GT réactivité), for the fruitful discussions.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e9811">This work was achieved in the framework of CLIMDO project funded by ANR (grant no. ANR-19-CE01-0008), Labex CaPPA, funded by ANR through the PIA (grant no. ANR-11-LABX-0005-01), and CPER CLIMIBIO project, both funded by the Hauts-de-France Regional Council and the European Regional Development Fund (ERDF).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e9817">This paper was edited by Hendrik Fuchs and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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