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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-14-6039-2021</article-id><title-group><article-title>Development of a laser-photofragmentation laser-induced fluorescence
instrument for the detection of nitrous acid <?xmltex \hack{\break}?> and hydroxyl radicals in the
atmosphere</article-title><alt-title>Development of a laser-photofragmentation laser-induced fluorescence
instrument</alt-title>
      </title-group><?xmltex \runningtitle{Development of a laser-photofragmentation laser-induced fluorescence
instrument}?><?xmltex \runningauthor{B. Bottorff et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Bottorff</surname><given-names>Brandon</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Reidy</surname><given-names>Emily</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Mielke</surname><given-names>Levi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff4">
          <name><surname>Dusanter</surname><given-names>Sebastien</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Stevens</surname><given-names>Philip S.</given-names></name>
          <email>pstevens@indiana.edu</email>
        <ext-link>https://orcid.org/0000-0001-9899-4215</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Chemistry, Indiana University, Bloomington, IN 47405,
USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>O'Neill School of Public and Environmental Affairs, Indiana
University, Bloomington, IN 47405, USA</institution>
        </aff>
        <aff id="aff3"><label>a</label><institution>now at: Department of Chemistry, University of Indianapolis,
Indianapolis, IN 46227, USA</institution>
        </aff>
        <aff id="aff4"><label>b</label><institution>now at: IMT Lille Douai, Institut Mines-Télécom, Univ. Lille,
Centre for Energy and Environment, 59000 Lille, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Philip S. Stevens (pstevens@indiana.edu)</corresp></author-notes><pub-date><day>16</day><month>September</month><year>2021</year></pub-date>
      
      <volume>14</volume>
      <issue>9</issue>
      <fpage>6039</fpage><lpage>6056</lpage>
      <history>
        <date date-type="received"><day>21</day><month>April</month><year>2021</year></date>
           <date date-type="rev-request"><day>23</day><month>April</month><year>2021</year></date>
           <date date-type="rev-recd"><day>14</day><month>August</month><year>2021</year></date>
           <date date-type="accepted"><day>16</day><month>August</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Brandon Bottorff et al.</copyright-statement>
        <copyright-year>2021</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/14/6039/2021/amt-14-6039-2021.html">This article is available from https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e140">A new instrument for the measurement of atmospheric
nitrous acid (HONO) and hydroxyl radicals (OH) has been developed using
laser photofragmentation (LP) of HONO at 355 nm after expansion into a
low-pressure cell, followed by resonant laser-induced fluorescence (LIF) of
the resulting OH radical fragment at 308 nm similar to the fluorescence
assay by gas expansion technique (FAGE). The LP/LIF instrument is calibrated
by determining the photofragmentation efficiency of HONO and
calibrating the instrument sensitivity for detection of the OH fragment. In
this method, a known concentration of OH from the photo-dissociation of
water vapor is titrated with nitric oxide to produce a known concentration
of HONO. Measurement of the concentration of the OH radical fragment
relative to the concentration of HONO provides a measurement of the
photofragmentation efficiency. The LP/LIF instrument has demonstrated a
1<inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> detection limit for HONO of 9 ppt for a 10 min integration time.
Ambient measurements of HONO and OH from a forested environment and an urban
setting are presented along with indoor measurements to demonstrate the
performance of the instrument.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e159">Although the photolysis of ozone followed by the reaction of excited oxygen
atoms with water vapor has been recognized as an important source of
hydroxyl radicals (OH) in the troposphere (Rohrer and Berresheim, 2006),
several studies have indicated that the photolysis of nitrous acid (HONO)
(Reaction R1) is a significant, if not dominant, source of OH in several environments
(Kleffmann et al., 2005; Acker et al., 2006; Dusanter et al., 2009b;
Volkamer et al., 2010; Ren et al., 2013; Griffith et al., 2016).

          <disp-formula id="Ch1.R1" content-type="numbered reaction"><label>R1</label><mml:math id="M2" display="block"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>+</mml:mo></mml:mrow><mml:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">300</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:mrow></mml:mfenced><mml:mo>⟶</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:mrow></mml:math></disp-formula>
        As the dominant oxidant in the lower troposphere, OH initiates reactions
with carbon monoxide and a wide variety of volatile organic compounds (VOCs)
leading to the formation of the hydroperoxy radical (HO<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) and organic
peroxy radicals (RO<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>). In the presence of nitrogen oxides (NO<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula>
NO <inline-formula><mml:math id="M6" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) reactions of these peroxy radicals regenerate OH radicals,
establishing a fast radical-propagation chain that can produce harmful
pollutants including ozone and secondary organic aerosols. Attempts to
develop effective control strategies for these secondary pollutants
necessitate a thorough understanding of OH radical chemistry. Due to its
importance as a radical precursor, a more complete understanding of HONO
sources and sinks is critical to understanding the oxidative capacity of the
atmosphere.</p>
      <?pagebreak page6040?><p id="d1e255">HONO is produced in the gas phase from the reaction of OH radicals with NO
(Reaction R2). In addition to photolysis (Reaction R1), reaction of HONO with OH radicals (Reaction R3)
is another important loss mechanism in the gas phase. Considering
Reaction (R2) as the
only source of HONO, its gas-phase concentration can be calculated from a
steady-state expression (Eq. 1).<?xmltex \hack{\newpage}?>

              <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M8" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R2"><mml:mtd><mml:mtext>R2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:mrow><mml:mi>M</mml:mi><mml:mo>⟶</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mi>M</mml:mi></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R3"><mml:mtd><mml:mtext>R3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><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 class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          
          <disp-formula id="Ch1.E4" content-type="numbered"><label>1</label><mml:math id="M9" display="block"><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:mfenced><mml:mrow class="chem"><mml:mi mathvariant="normal">PSS</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mfenced><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mrow class="chem"><mml:mo>+</mml:mo></mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
        In this equation, <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the rate constant for Reaction (R2),
<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the photolysis rate constant for Reaction (R1), and
<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the rate constant for Reaction (R3). Compared to other
photolytic sources of OH, the longer wavelengths at which HONO photolyzes to
produce OH can result in HONO photolysis dominating OH production during the
morning hours in some environments (Volkamer et al., 2010), but it decreases in
importance during the day as the concentration of HONO decreases. However,
in several instances HONO photolysis has been shown to be a significant OH
source through the day (Kleffmann et al., 2005; Acker et al., 2006; Ren et
al., 2013; Griffith et al., 2016; Xue et al., 2020). This is mainly due to
higher-than-expected daytime HONO mixing ratios that cannot be attributed to
gas-phase Reactions (R1)–(R3) (Tang et al., 2015; Lee et al., 2016; Meusel et
al., 2016; Xue et al., 2020).</p>
      <p id="d1e441">Other HONO sources include direct emission from vehicles or other combustion
sources (Kirchstetter et al., 1996; Kurtenbach et al., 2001; Li et al.,
2008; Xu et al., 2015), direct photolysis of some species (Bejan et al.,
2006; Zhou et al., 2011), photo-enhanced surface reactions (George et al.,
2005; Stemmler et al., 2006), and release from soil due to biological
processes (Su et al., 2011; Oswald et al., 2013; Weber et al., 2015; Meusel
et al., 2018). Lastly, several production pathways involving the
heterogeneous conversion of 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> to HONO on soil, leaf canopies,
aerosols, and other surfaces have been suggested to explain
higher-than-expected HONO mixing ratios observed during some field campaigns
(Kleffmann et al., 1998; Ramazan et al., 2004; Stutz et al., 2004; Xue et
al., 2020).</p>
      <p id="d1e453">HONO is also an important pollutant within the indoor environment. While
outdoor mixing ratios during the daytime are typically within the range of
tens to hundreds of parts per trillion (Huang et al., 2002; Oswald et al., 2015), and can
range from hundreds of parts per trillion up to several parts per billion at night or during morning rush
hour in urban environments (Stutz et al., 2010; Young et al., 2012; Xu et
al., 2015; Lee et al., 2016), indoor HONO measurements have shown background
levels of several parts per billion and elevated mixing ratios as high as 20–90 ppb
during cooking or other combustion events (Brauer et al., 1990; Vecera and
Dasgupta, 1994; Zhou et al., 2018; Liu et al., 2019; Wang et al., 2020a). In
two studies, average outdoor mixing ratios were 0.9 and 0.3 ppb compared to
4.6 and 4.0 ppb in nearby suburban homes (Leaderer et al., 1999; Lee et al.,
2002). Elevated concentrations of HONO indoors are relevant not only due to
the adverse health effects caused by inhalation (Beckett et al., 1995; van
Strien et al., 2004; Jarvis et al., 2005), but also due to the potential for
OH production indoors from HONO photolysis. OH concentrations were thought
to be negligible indoors due to reduced light intensity, especially at short
wavelengths and lower ozone mixing ratios, but several studies have
indicated that photolysis of elevated indoor HONO can produce OH
concentrations similar to those found outdoors, even at reduced photolysis
frequencies (Gómez Alvarez et al., 2013; Bartolomei et al., 2015; Kowal
et al., 2017).</p>
      <p id="d1e457">As a result of these observations, a clear understanding of HONO sources is
an important step in understanding the overall oxidation capacity of both
the outdoor and the indoor environments. However, detailed mechanisms and
dependence on variables such as surface type and chemical composition are
still lacking for both heterogeneous HONO sources and photo-enhanced surface
reactions. Thus, additional measurements of HONO in various environments and
from laboratory experiments are still needed for the development of a more
complete understanding of both HONO formation mechanisms and its potential
to initiate the radical chain that leads to secondary pollutant formation.</p>
      <p id="d1e460">Several different measurement techniques have been employed to measure HONO,
beginning with differential optical absorption spectroscopy (DOAS) (Perner
and Platt, 1979). DOAS is based on the UV–visible absorption of HONO in the
atmosphere across path lengths of several kilometers and provides a direct
measurement that does not require external calibration. The open-path nature
of DOAS also eliminates potential impacts from inlet or surface chemistry
that could result in interferences or loss of HONO, but the long path length
required also limits its spatial resolution (Tsai et al., 2018). Incoherent
broadband cavity-enhanced absorption spectroscopy (IBBCEAS) is another
optical technique that is capable of measuring HONO and several other trace
gases. A long path length, similar to that used in DOAS instruments, is
maintained within a short cavity of 0.5–2.0 m using two highly reflective
mirrors (Nakashima and Sadanaga, 2017; Jordan and Osthoff, 2020; Tang et
al., 2020). Detection limits from IBBCEAS have improved in recent years to
as low as 118 ppt for a 60 s integration time but still may not be
sufficient for ambient measurements in less polluted environments (Duan et
al., 2018).</p>
      <p id="d1e463">Several wet chemical techniques are also capable of detecting HONO,
including but not limited to wet denuder–ion chromatography (IC) (Neftel et
al., 1996), mist chamber–IC (Dibb et al., 2004), 2,4-dinitrophenylhydrazone (DNPH) derivatization and high-performance liquid chromatography (HPLC) (Zhou et al., 1999), derivatization with
sulfanilamide/N-(1-naphthyl)-ethylenediamine and high-performance liquid chromatography (Afif et al., 2016), and long optical path absorption
photometry (LOPAP) (Heland et al., 2001). These techniques offer low
detection limits and integration times, often below 5 ppt and a few<?pagebreak page6041?> minutes
respectively, but indirectly measure gaseous HONO by conversion to nitrite
anion or a dye within a liquid solution. This conversion introduces the
potential for sampling artifacts or chemical interferences where other
species may also be converted and interpreted as HONO. For example,
measurements of HONO using LOPAP have been shown to have high sensitivity
and limits of detection less than 1 ppt but suffer from interferences from
atmospheric concentrations of NO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Heland et al., 2001). In
addition, peroxyacetyl nitrate (PAN) and peroxynitric acid
(HO<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) can be partially observed as HONO in these instruments
(Villena et al., 2011; Legrand et al., 2014). LOPAP instruments typically
utilize two stripping coils connected in series to correct for these and
other unknown interferences. In the first coil, HONO is trapped efficiently
along with some interfering species. These interferences are similarly
trapped in the second coil, which allows a true HONO signal to be determined
by subtraction (Heland et al., 2001; Legrand et al., 2014). More recently,
chemical ionization mass spectrometry (CIMS) has been used to measure HONO
along with other inorganic acids. Iodide ion (I<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) and acetate ion
(CH<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COO<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) CIMS have both been used with reported detection limits
of 30 ppt (Roberts et al., 2010; Veres et al., 2015; Collins et al., 2018).</p>
      <p id="d1e530">Other methods to measure ambient HONO include laser photolysis into OH and
NO fragments and subsequent detection of OH by laser-induced fluorescence at
atmospheric pressure (Liao et al., 2006a). This method was used successfully
to detect ambient HONO at the South Pole in 2003 (Liao et al., 2006b).
Although this instrument exhibited a low detection limit of 15 ppt for a
1 min integration time, the wavelength of 282 nm used for excitation of OH
made it less suitable for environments with higher ozone and water-vapor
mixing ratios due to the potential for laser-generated OH inside the
detection cell from the photolysis of ozone followed by reaction of
O(<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D) with water vapor (Reactions R4 and R5) (Wennberg et al., 1994). This
interference can impact the detection limit of HONO by increasing the
measured OH background signal.


              <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M22" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R5"><mml:mtd><mml:mtext>R4</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">340</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:mrow></mml:mfenced><mml:mo>⟶</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mrow class="chem"><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R6"><mml:mtd><mml:mtext>R5</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mrow class="chem"><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><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:mrow><mml:mo>⟶</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          More recently, Dyson et al. (2021) report the detection of HONO in a
laboratory setting using laser photolysis of HONO at 355 nm and subsequent
detection of OH at 308 nm in a low-pressure detection cell, reporting a
detection limit of 12 ppt for a 50 s average.</p>
      <p id="d1e646">Despite the importance of measuring HONO in the atmosphere, recent
instrument intercomparisons have revealed significant discrepancies in
measurements of HONO between various instrumental techniques (Pinto et al.,
2014; Ródenas et al., 2013; Crilley et al., 2019). In this paper we
describe a new laser-photofragmentation/laser-induced fluorescence
instrument capable of near-simultaneous measurement of both HONO and OH. In
this approach, photofragmentation of HONO and detection of the OH fragment
occur after sampling ambient air at low pressure, similar to the
fluorescence assay by gas expansion (FAGE) technique currently used to
measure ambient concentrations of the OH radical in the atmosphere (Heard
and Pilling, 2003). Excitation and detection of OH occurs at 308 nm as this
wavelength is much less susceptible to interference from laser-generated OH
from Reactions (R4) and (R5) because the ozone absorption cross section is only
4 % of that at 282 nm (Heard and Pilling, 2003; Burkholder et al., 2019),
and sampling at low pressure reduces the concentration of ozone and water
vapor in the detection cell. In addition to a description of the instrument,
a calibration method for HONO based on a measurement of the
photofragmentation efficiency is described, and examples of measurements of
HONO concentrations by this instrument in both outdoor and indoor
environments are presented.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Experimental section</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Instrument description</title>
      <p id="d1e664">The Indiana University laser-photofragmentation/laser-induced fluorescence
(LP/LIF) instrument consists of four primary components: (1) a photolysis
laser that fragments HONO into OH and NO; (2) a 308 nm laser for the
excitation of the OH radicals; (3) a low-pressure sampling cell; and (4) a
sensitive gated detection system that synchronizes photofragmentation of
HONO, excitation of OH, and detection of the resulting OH fluorescence. A
schematic of the instrumental configuration is shown in Fig. 1.</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="d1e669">Schematic diagram of the LP/LIF instrument.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021-f01.png"/>

        </fig>

      <p id="d1e678">The absorption spectrum of HONO is shown in Fig. S1 in the Supplement (Burkholder et al.,
2019). The strong peak near 355 nm was chosen for photofragmentation because
it coincides with the third harmonic of a Nd:YAG laser. A Spectra Physics
Navigator II YHP40-355HM laser is used for photofragmentation of HONO,
producing approximately 3–4 W of radiation at 355 nm and at a repetition
rate of 10 kHz with a pulse width of approximately 20 ns. The OH excitation
laser system consists of a Spectra Physics Navigator II YHP40-532 Nd:YAG
laser that produces approximately 7–8 W of radiation at 532 nm at a
repetition rate of 10 kHz and a pulse width of approximately 20 ns. This
laser pumps a dye laser (Sirah Credo, 255 mg L<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> of rhodamine 610 and
80 mg L<inline-formula><mml:math id="M24" 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> of rhodamine 101 in ethanol) to produce approximately 40–100 mW of radiation at 308 nm. A small portion of the 308 nm emission is
diverted to a low-pressure reference cell for wavelength calibration
(Dusanter et al., 2009a). In this cell, a high concentration of OH radicals
is produced by the thermal dissociation of water vapor using a hot alumel
filament. The resulting OH fluorescence is collected by a Hamamatsu
photomultiplier tube (H6180-01) equipped with a band-pass filter centered at
308 nm (Esco<?pagebreak page6042?> Optics). Using the OH fluorescence signal from this cell, the
excitation laser is tuned to the <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>(3) transition of OH at 308.1541 nm,
a transition that exhibits one of the strongest absorption cross sections
around 308 nm (Dusanter et al., 2009a).</p>
      <p id="d1e717">The sampling cell is shown in Fig. 2. Ambient air is drawn into the sampling
cell through a flat 1 mm diameter pinhole inlet by means of two scroll pumps
(Edwards XDS35i) connected in parallel. The cell is maintained at a pressure
of 0.25 kPa to reduce quenching of the OH fluorescence by ambient air and
thus increase the OH radical fluorescence lifetime. As the sampled air
passes through the inlet, it expands into a central aluminum cube and is
intersected by the fragmentation and excitation laser emissions. The 355 nm
laser emission is propagated to the sampling cell through a 12 m long,
1000 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>  fiber-optic patch cord (OZ Optics), which results in
approximately 1.5 W of laser power at the entrance of the sampling cell. The
excitation laser emission is propagated to the cell through a 12 m long,
200 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>  fiber-optic cable (Thorlabs, FG200AEA), which results in
approximately 1–4 mW of 308 nm radiation into the sampling cell. After
exiting their respective fiber-optic cables, both the 355 and 308 nm
laser emissions are spatially combined by a dichroic mirror (Rocky Mountain
Instrument Co.) that reflects greater than 90 % of the 308 nm laser beam
and transmits greater than 90 % of the 355 nm laser beam. The beams are
temporally separated, with the 308 nm pulse entering the detection cell 100 ns after the 355 nm pulse. Upon exiting the detection cell, the beams are
spatially separated by a second dichroic mirror, and the power of each beam
is monitored using a photodiode (UDT-555UV, OSI Optoelectronics) equipped
with interference filters (Esco Optics, Thorlabs).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e742">Diagram of the LP/LIF sampling cell.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021-f02.png"/>

        </fig>

      <p id="d1e751">The fluorescence from the OH radical fragment is collected by an optical
train orthogonal to the excitation beam. Two lenses (<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> mm, CVI Laser Optics)
focus the fluorescence onto the detector, and a band-pass filter centered at
308 nm (Barr Associates, transmission 65 %, bandwidth 5 nm, o.d. <inline-formula><mml:math id="M29" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 5 at other wavelengths) selectively passes OH fluorescence to the detector
and reduces the detection of solar scatter, potential broadband fluorescence
of other species,<?pagebreak page6043?> and scatter from the 355 nm laser. A concave mirror
(100 mm diameter, 40 cm focal length, Melles Griot) opposite the optical
train effectively doubles the solid angle of collection.</p>
      <p id="d1e773">The detection system consists of a time-gated micro-channel plate
photomultiplier tube (MCP-PMT) (Photek PMT325), a preamplifier/discriminator
(F-100T, Advanced Research Instruments), and a high-speed counter
(National Instruments, 6024E). A delay generator (Berkeley Nucleonics Model
575) triggers both laser emissions, separated by 100 ns, and also increases
the MCP-PMT gain after the 308 nm laser pulse (Fig. 3). Turning on the
detector after the 308 nm laser pulse reduces the detection of the intense
scattered radiation from the laser pulse while allowing the detection of the
OH fluorescence. The gain of the detector is reduced during the laser pulse
and switched to the highest gain approximately 70 ns after the laser pulse.
The gain is kept high for approximately 550 ns in order to collect most of
the OH fluorescence and then is reduced until the next laser pulse. The
signal from the MCP is amplified and filtered by a pulse-height
discriminator (F100T) that delivers TTL pulses for each detected photon. The
photon counter is set with a timing gate to count the fluorescence photons
during a 400 ns window while the gain of the detector is high, avoiding
potential noise associated with the increase and decrease in detector gain
(Fig. 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e778">Timing schematic depicting one
photofragmentation/excitation/detection cycle.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021-f03.png"/>

        </fig>

      <p id="d1e788">Wavelength modulation is used to tune the 308 nm dye-laser excitation
emission on and off resonance with the <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>(3) transition of OH at
308.1451 nm. The net signal from the OH fluorescence is derived by
subtracting the off-resonance signal, consisting primarily of solar scatter
and some scattered laser radiation that extends into the detection window,
from the on-resonance signal. To differentiate OH fluorescence signals due
to HONO photofragmentation from fluorescence due to ambient OH radicals, the
355 nm fragmentation laser is cycled on and off with the use of a diaphragm
shutter (Thorlabs). When combined with dye-laser wavelength modulation, this
creates a complete measurement sequence that allows near-simultaneous
measurement of both ambient OH and HONO. Figure 4 shows an example of a
typical measurement sequence. Each measurement cycle consists of four 15 s
steps: (1) a background signal is established where HONO is photolyzed but
the 308 nm laser is tuned off resonance (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), (2) both ambient OH and
the OH fragment from HONO are excited by tuning the 308 nm laser to on
resonance (<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), (3) the 355 nm photolysis laser is blocked by a shutter
and background signal is re-established by tuning the 308 nm laser
off resonance (<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and (4) the 355 nm laser is still blocked but
ambient OH is excited by tuning the 308 nm laser on resonance (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The
net HONO signal is obtained from the difference between the signals from
cycles 2 and 4 (Net<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), while the net ambient
OH signal (Net<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>) is obtained from the difference between the signals
from cycles 4 and the background signal (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">bkg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) which is the average of
cycles 3 and 1 (Net<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">bkg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Because the band-pass
filter rejects scatter from the 355 nm laser, the background signal with and
without the fragmentation laser is not significantly different and only
varies with fluctuations in the 308 nm laser power.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e920">Sample measurement cycle from the LP/LIF instrument during
measurement of OH and HONO during laboratory calibrations. The raw signal
has not been normalized for the power of the excitation laser or the total
radical concentration produced by the calibrator. <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">bkg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the average
of the offline signals <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021-f04.png"/>

        </fig>

      <p id="d1e962">In addition to the sequence described above, chemical modulation cycles can
be used to test for potential interferences in the measurement of ambient OH
as performed on FAGE instruments (Mao et al., 2012; Novelli et al., 2014;
Rickly and Stevens, 2018). Due to the single-pass laser design of the LP/LIF
sampling cell, signals due to laser-generated OH from Reactions (R4) and (R5)
are small and are calibrated as a function of laser power, ozone, and water
concentrations (Griffith et al., 2016). However, Criegee intermediates
formed from the ozonolysis of alkenes (Rickly and Stevens, 2018), the
decomposition of ROOOH species (Fittschen et al., 2019), or other unknown
interferences could<?pagebreak page6044?> lead to the formation of OH radicals inside the
detection cell. Removal of ambient OH through external reaction with a
scrubbing agent, such as perfluorpropylene (C<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>) (Griffith et
al., 2016; Rickly and Stevens, 2018), allows quantification of all OH formed
within the detection cell. The remaining OH signal would be a measurement of
the interference that can be subtracted from the total OH signal when the
ambient OH is not removed. While the LP/LIF instrument can incorporate
chemical modulation cycles to measure potential interferences, the technique
was not used in the HONO and OH measurements reported below in order to
increase the HONO measurement frequency.</p>
      <p id="d1e983">The LP/LIF instrument is automated using a National Instruments
multifunction DAQ board (NI USB 6024) and a customized LabVIEW interface
program that controls the 355 nm laser shutter and monitors the power of
both the 355 nm fragmentation laser and the 308 nm excitation laser. The
308 nm laser is controlled by the Indiana University laser-induced
fluorescence – fluorescence assay by gas expansion (IU-FAGE) instrument as
described previously (Dusanter et al., 2009a). The output of the 308 nm
laser system is split between the LP/LIF instrument and the IU-FAGE
instrument, allowing simultaneous measurements of ambient HONO and OH by the
LP/LIF instrument with measurements of ambient concentrations of OH and
HO<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> by the IU-FAGE instrument (Dusanter et al., 2009a).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Instrument calibration</title>
      <p id="d1e1003">Several of the previously mentioned measurement techniques utilize a HONO
generation source to characterize instrumental response to a known
concentration of HONO. Many sources are based on the design of Febo et al. (1995), in which gaseous hydrochloric acid reacts with sodium nitrite to form
HONO (Reaction R6).

                <disp-formula id="Ch1.R7" content-type="numbered reaction"><label>R6</label><mml:math id="M45" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi></mml:mrow><mml:mfenced open="(" close=")"><mml:mi>g</mml:mi></mml:mfenced><mml:mrow class="chem"><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mfenced close=")" open="("><mml:mi>s</mml:mi></mml:mfenced><mml:mo>⟶</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mi>g</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NaCl</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

          This method requires the reaction chamber to be heated to 50 <inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
and can produce mixing ratios of HONO over a wide range (5–20 000 ppb) (Febo
et al., 1995) that often require large dilution flows to reach typical
outdoor atmospheric concentrations (Lao et al., 2020). Furthermore, the high
HONO mixing ratios produced by this approach can disproportionate to form NO
and NO<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Febo et al., 1995; Stutz et al., 2000; Gingerysty and Osthoff,
2020; Lao et al., 2020). As a result, this method typically requires an
additional technique to verify both the purity and output concentration of
HONO (Pérez et al., 2007; Gingerysty and Osthoff, 2020). While
appropriate for a laboratory setting, these limitations, along with the long
warmup times needed to ensure stability, can make this method less suitable
for calibration in a field setting.</p>
      <p id="d1e1071">Instead, the sensitivity of the LP/LIF instrument to HONO (<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) is
determined from (1) the photofragmentation efficiency of HONO by the 355 nm
laser (PE) and (2) the sensitivity of the instrument to the measurement of
the OH fragment (<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>).

            <disp-formula id="Ch1.E8" content-type="numbered"><label>2</label><mml:math id="M50" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">PE</mml:mi></mml:mrow></mml:mrow></mml:math></disp-formula>
          The instrumental sensitivity towards OH (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) is determined using the
water-vapor photolysis technique, which has previously been described in
detail (Dusanter et al., 2008). Briefly, this method relies on the
photolysis of water vapor at 184.9 nm to produce a known amount of OH (and
HO<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>).


                <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M53" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R9"><mml:mtd><mml:mtext>R7</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><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:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">184.9</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:mrow></mml:mfenced><mml:mo>⟶</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R10"><mml:mtd><mml:mtext>R8</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo><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:mi>M</mml:mi><mml:mo>⟶</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>M</mml:mi></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            
            <disp-formula id="Ch1.E11" content-type="numbered"><label>3</label><mml:math id="M54" display="block"><mml:mrow><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mfenced close="]" open="["><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:mfenced><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</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:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mi>F</mml:mi><mml:mo>×</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>
          As shown in Eq. (3), the concentration of OH and HO<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> produced by the
calibrator can be calculated from the time-integrated photolysis of water
vapor. In this equation, <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</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 absorption cross section
of water at 184.9 nm (6.78 <inline-formula><mml:math id="M57" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per molecule), and <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the unity photo-dissociation
quantum yield (Burkholder et al., 2019). <inline-formula><mml:math id="M61" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> is the photon flux and <inline-formula><mml:math id="M62" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is the
photolysis exposure time. The quantity (<inline-formula><mml:math id="M63" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M64" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> can be determined via
O<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> actinometry experiments, as molecular oxygen is also photolyzed at
184.9 nm to form O<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>(P) and then O<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> after reaction with O<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
The concentration of ozone produced is also dependent on the product of (<inline-formula><mml:math id="M70" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M71" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M73" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E12"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mi>F</mml:mi><mml:mo>×</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E13"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mfenced close=")" open="("><mml:mrow><mml:mi>F</mml:mi><mml:mo>×</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            In these equations, <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the quantum yield of ozone from
oxygen photolysis (<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the
effective absorption cross section of oxygen at 184.9 nm. Thus, measurements
of ozone concentrations can be used to determine the quantity (<inline-formula><mml:math id="M77" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M78" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> if the effective oxygen absorption cross section is known. Previous
studies have shown that the effective oxygen absorption cross section at
184.9 nm is dependent on operating conditions (O<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> column density, lamp
current, and lamp temperature), making it necessary to measure <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for each calibration system (Hofzumahaus et al., 1997; Lanzendorf
et al., 1997). The dependence of the effective oxygen absorption cross
section on the mercury lamp is the result of the overlap between several
features of the highly structured Schumann–Runge band and the lamp emission
at 184.9 nm that depends on the operating conditions due to line reversal
(Lanzendorf et al., 1997) and potential fluorescence of the fused silica
envelope (Cantrell et al., 1997).</p>
      <?pagebreak page6045?><p id="d1e1692">Using Eqs. (3)–(5), a known concentration of OH can be produced from known
concentrations of water vapor and ozone, and the instrumental sensitivity
towards OH (Eq. 6) can be derived from the measured fluorescence signal
(<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and normalized to the power of the 308 nm laser emission
(<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">308</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (Dusanter et al., 2008). Typical <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values vary with
ambient water-vapor concentrations due to collisional quenching of excited
OH radicals and range from 1.5–4 <inline-formula><mml:math id="M85" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> counts s<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (cm<inline-formula><mml:math id="M88" 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> mW)<inline-formula><mml:math id="M89" 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>  (Fig. S3), with an estimated uncertainty of 18 %
(1<inline-formula><mml:math id="M90" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) (Dusanter et al., 2008). Compared to the IU-FAGE instrument,
the OH sensitivity of this detection cell is approximately a factor of 5–20
times lower per milliwatt of laser power due to the multi-pass laser design of the
IU-FAGE instrument compared to the single-pass design described here.
However, while the single-pass design does not eliminate potential
laser-generated interferences, it significantly reduces laser-generated OH
from Reactions (R4) and (R5) as there is no beam overlap, and the smaller beam
size reduces the potential for double pulsing of the sampled air compared to
the multi-pass design at the same laser power. This allows for higher laser
powers to be employed in the single-pass instrument, improving the limit of
detection with significantly lower laser-generated interferences.
            <disp-formula id="Ch1.E14" content-type="numbered"><label>6</label><mml:math id="M91" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">P</mml:mi></mml:mrow><mml:mn mathvariant="normal">308</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
          A schematic of the calibrator is shown in Fig. S2. The calibrator consists
of a rectangular flow reactor made of aluminum (1.27 <inline-formula><mml:math id="M92" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.27 <inline-formula><mml:math id="M93" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30 cm) equipped with a quartz window on two sides (Dusanter et
al., 2008). The light source is a low-pressure mercury lamp (UVP Inc) housed
in an aluminum cartridge that is continuously purged with dry nitrogen to
prevent light absorption by atmospheric gases as well as helping to
stabilize the temperature of the lamp. A 10 SLPM  flow of humidified air is
used to create a turbulent flow in the reactor. Mixing ratios of water vapor
and ozone are monitored in the flow exiting the calibrator using commercial
analyzers (Dusanter et al., 2008).</p>
      <p id="d1e1845">Once a stable concentration of OH and HO<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is produced in the calibrator
after the lamp flux and water-vapor concentration have stabilized, the
photofragmentation efficiency (PE) of HONO is determined by adding an excess
of NO (approximately 800 ppb) to the calibrator to convert the known
concentrations of OH and HO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> into HONO through the HO<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO <inline-formula><mml:math id="M97" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> OH <inline-formula><mml:math id="M98" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and OH <inline-formula><mml:math id="M100" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO <inline-formula><mml:math id="M101" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> HONO reactions. Figure 5 illustrates
model simulations of the conversion of OH and HO<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> into HONO using the
RACM2 mechanism constrained to the concentrations of water vapor and oxygen.
After production of OH and HO<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the illuminated region of the
calibrator (first 10 ms), reactions with NO lead to the production of HONO
after the approximate 80 ms residence time inside the calibrator. In these
simulations, the photolysis of water vapor is adjusted to produce
approximately 1 ppb of both OH and HO<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the calibrator, which in the
absence of NO decreases after illumination due to loss from radical–radical
reactions and surface loss (Fig. 5a). During typical OH sensitivity
calibrations, the loss of radicals in the absence of NO is
measured by changing the location of the light source relative to the exit
of the calibrator (Dusanter et al., 2008). These measurements indicate that
20 %–30 % of the OH and HO<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> radicals produced are lost due to reaction
with the calibrator surfaces as well as loss due to the OH <inline-formula><mml:math id="M106" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> HO<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
reaction. Model simulations indicate that a first-order loss rate of 2.6 s<inline-formula><mml:math id="M108" 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> is needed to match this observed loss of OH radicals in the
calibrator in the absence of NO, and this loss rate has been included in the
simulations (Fig. 5a). However, these simulations suggest that during
photolysis efficiency calibrations, the excess of NO is sufficient to ensure
that reaction with NO is the dominant radical sink, accounting for greater
than 95 % of the total loss of OH, with less than 3 % of the OH radicals
lost via surface reactions and less than 2 % lost by the OH <inline-formula><mml:math id="M109" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> HO<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
and other radical–radical reactions. Model simulations of this chemistry
also suggest that after addition of NO, the OH and HO<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations
are negligible and the concentration of HONO is nearly equal to the total OH
and HO<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations produced by the calibrator (Fig. 5b).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2019">Photolysis efficiency (PE) calibration modeling. The top plot
illustrates the modeled evolution of OH (red lines) or HO<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (blue lines)
in the presence of 400 (dashed line) or 800 ppb (solid line) of NO, while
the bottom plot shows the modeled HONO production (blue lines). The vertical
black dashed line represents the approximate reaction time between the onset
of radical production from 184.9 nm photolysis of water and the exit of the
calibration source at a flow rate of 10 SLPM. The horizontal green line
represents the total radicals produced in the photolysis region in the
absence of NO. The dotted line represents a simulation with 800 ppb of NO
with a 5 % NO<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> impurity (see text).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021-f05.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2048">Example of photofragmentation efficiency measurements from an OH
<inline-formula><mml:math id="M115" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO <inline-formula><mml:math id="M116" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> HONO calibration. <bold>(a)</bold> The signal observed from total amount of
OH produced in the calibrator (<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>initial OH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). <bold>(b)</bold> Signal observed from
remaining OH after the addition of NO converts the majority of radicals to
HONO (<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>remaining OH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). <bold>(c)</bold> Sum of signal from remaining OH and signal
from OH produced in the detection cell after HONO photolysis
(<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">remaining</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). <bold>(d)</bold> Signal from the 355 nm photolysis of
impurities in the NO cylinder observed when the radical source in the
calibrator is turned off (<inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>impurity</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021-f06.png"/>

        </fig>

      <p id="d1e2136">Figure 6 illustrates a typical measurement of the photofragmentation
efficiency. The original signal from the initial amount of OH produced in the
calibrator in the absence of added NO is shown in panel (a) (<inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mi mathvariant="normal">initial</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), and the remaining OH concentration after NO is added to the
calibrator is shown in panel (b), with the 355 nm photofragmentation laser
blocked from entering the detection cell (<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mi mathvariant="normal">remaining</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). This
remaining OH signal is likely due to reactant segregation in the turbulent
flow of the calibrator preventing all of the OH from reacting with the added
NO. When the 355 nm photofragmentation laser is turned on, the increase in
the signal relative to the remaining OH reflects the additional OH produced
in the detection cell from HONO photolysis (<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">remaining</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) (Fig. 6c). Model simulations indicate that reformation of HONO from reaction of
the OH fragment with the added NO is negligible due to the reduced
concentrations of both OH and NO in the low-pressure detection cell and the
short reaction time between the photofragmentation and excitation laser
pulses. Additionally, impurities in the NO cylinder appear to be photolyzed
by the 355 nm photofragmentation laser, leading to a small production of OH
that is observed when the radical source in the calibrator is turned off
(Fig. 6d). This impurity must be subtracted from the signal recovered as
HONO and is measured by turning the mercury lamp off but keeping the 355 nm
laser emission on (<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">impurity</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). This impurity is not observed when the
355 nm laser is blocked from entering the detection cell. The source of this
impurity is not clear but could be the result of heterogeneous reactions of
NO<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the calibration system leading to the production of impurity
HONO. Experiments employing the use of a scrubber to remove NO<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from
the cylinder such as iron (II) sulfate heptahydrate (FeSO<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>⚫7H<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O,
Fisher Scientific) did not appear to impact the OH signal due to the
impurity, suggesting that production of this impurity may occur inside the
NO cylinder. Additional experiments will be needed to identify this
impurity.</p>
      <?pagebreak page6046?><p id="d1e2236">The HONO photolysis efficiency (PE) of the 355 nm laser can be calculated as
the ratio of OH signal recovered as HONO to the net OH and HO<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations produced in the calibrator. This can also be written as the
ratio of net HONO signal to the initial OH signal, after corrections to
account for the 20 %–30 % OH radical loss due to the OH <inline-formula><mml:math id="M130" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> HO<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
reaction and reaction on the walls of the calibrator based on
measurements in the absence of NO as described above (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mi mathvariant="normal">initial</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">corr</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). Because the calibrator produces equal concentrations of OH
and HO<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, the factor of 2 accounts for the conversion of the produced
HO<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to OH when NO is added.
            <disp-formula id="Ch1.E15" content-type="numbered"><label>7</label><mml:math id="M135" display="block"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">PE</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>HONO+remaining OH</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mtext>remaining OH</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">impurity</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>initial OH,corr</mml:mtext></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mtext>remaining OH</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
          Photolysis efficiency measurements are typically performed before and after
ambient measurement periods, and variations between measurement periods are
likely caused by shifts in the alignment of the 355 nm photolysis laser.
Typical PE values for the measurement periods described below were between
0.25 % and 0.34 % for a 355 nm laser power of approximately 1.5 W.
Impurities in the added NO that react quickly with OH and compete with
reaction of NO, such as NO<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, could lead to apparent lower
photofragmentation efficiencies by reducing the amount of HONO produced in
the calibrator. Model simulations suggest that a 5 % NO<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> impurity
could reduce the production of HONO by approximately 10 % due to reaction
of OH with NO<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> instead of NO (Fig. 5b). As a result, the NO added
should be of high purity, and chemical scrubbers designed to reduce
impurities such as NO<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> should be used.</p>
      <?pagebreak page6047?><p id="d1e2389">For ambient measurements, the concentration of HONO is determined from the
net HONO signal (Net<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>, Fig. 4) and the HONO sensitivity
(<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>).
            <disp-formula id="Ch1.E16" content-type="numbered"><label>8</label><mml:math id="M142" display="block"><mml:mrow><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">NET</mml:mi></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">NET</mml:mi></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mrow class="chem"><mml:mo>×</mml:mo><mml:mi mathvariant="normal">PE</mml:mi></mml:mrow></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
          For typical <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values ranging from 1.5–4 <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:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> counts s<inline-formula><mml:math id="M146" 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> cm<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> mW<inline-formula><mml:math id="M148" 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 PE values between 0.25 %–0.34 %, minimum
detectable HONO concentrations (1<inline-formula><mml:math id="M149" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) are typically between 9 and 18 ppt for a 10 min average in the absence of OH (laser power 1.5 W at 355 nm, 1–3 mW at 308 nm). Because the limit of detection depends on the ambient
OH signal that is subtracted from the HONO signal, the limit of detection
reported here will be higher during the day compared to at night. For the
highest sensitivity, 308 nm laser power, and photofragmentation efficiency
described above, a daytime maximum concentration of OH of 4 <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">6</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> would increase the HONO limit of detection by
approximately 20 % (10 min average). The overall calibration uncertainty
is estimated to be 35 % (1<inline-formula><mml:math id="M153" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), including the uncertainty associated
with the OH calibration (18 %, 1<inline-formula><mml:math id="M154" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), and depends on the precision
of the photofragmentation efficiency measurement. With the same parameters,
the OH limit of detection is typically between 1.1 and 2.2 <inline-formula><mml:math id="M155" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M157" 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> (<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, 10 min average, laser power 1–3 mW at
308 nm).</p>
      <p id="d1e2625">The limit of detection for HONO described above is similar to that reported
by Dyson et al. (2021) in a laboratory setting using a similar instrument
employing a 355 nm laser operating at 10 Hz for photofragmentation of HONO,
as well as detection of OH at 308 nm using a dye laser operating at 5 kHz (12 ppt,
50 s average). While the details of the photofragmentation laser in this
study were not provided, the lower repetition rate of the 355 nm laser
likely leads to a higher pulse energy and a higher photofragmentation
efficiency compared to the 10 kHz photofragmentation laser employed in this
study. However, the higher pulse energy could lead to photolysis of other
ambient species that produce OH and interfere with the measurements of HONO
(see below). However, these potential interferences can be minimized in a
laboratory setting.</p>
      <p id="d1e2628">As mentioned above, the large uncertainty associated with the
photofragmentation measurements is likely due to shifts in the overlap
between the two laser beams as a result of temperature fluctuations
impacting the optical alignment. Although this uncertainty is currently
large, measurements of HONO were in good agreement with an acetate CIMS
instrument during the recent HOMEChem (House Observations of Microbial and
Environmental Chemistry) indoor measurement campaign (Wang et al., 2020a).
Overall, the measurements of HONO by the LP/LIF instrument agreed with the
CIMS measurements to within <inline-formula><mml:math id="M159" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>20 %, on average, suggesting that
variations of the photofragmentation efficiency over the entire month-long
campaign were less than the overall instrumental uncertainty reported here.
An example of the measurements during the intercomparison is illustrated
below, and a detailed analysis of the intercomparison, including an analysis
of the spatial distribution of indoor HONO emissions, will be presented in a
future publication.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Outdoor measurements</title>
      <p id="d1e2654">The LP/LIF instrument was deployed in two locations on the Indiana
University campus in Bloomington to measure outdoor concentrations of HONO
as a test of the instrument. As HONO was the focus of these measurement
periods, chemical modulation cycles were not performed, and the OH
measurements presented may be impacted by unknown interferences. During the
outdoor measurement periods described below the instrumental sensitivity to
OH was <inline-formula><mml:math id="M160" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M161" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M162" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> counts s<inline-formula><mml:math id="M163" 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> (cm<inline-formula><mml:math id="M164" 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> mW)<inline-formula><mml:math id="M165" 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 measured photolysis efficiency was 0.25 % for a laser power
of approximately 1.5 W at 355 nm, resulting in a limit of detection for HONO
of approximately 18 ppt (10 min average, 1<inline-formula><mml:math id="M166" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) and a limit of
detection for OH of approximately 5 <inline-formula><mml:math id="M167" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M169" 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> (1 h
average, 1<inline-formula><mml:math id="M170" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>, 1–3 mW at 308 nm) (Table S1 in the Supplement). The first of two
measurement periods occurred during the summer of 2019 at a forested site
within the Indiana University Research and Teaching Preserve (IURTP)
(39.1908<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 86.502<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), located approximately 2.5 km
northeast of the IU campus (Lew et al., 2020). The mixed deciduous forest is
dominated by emissions of isoprene and monoterpenes and is approximately 1 km away from the nearest high-traffic road. The LP/LIF sampling axis was
placed in a small clearing 5 m from the IURTP field lab building, and
sampling occurred approximately 0.5 m above a grassy surface to measure
potential HONO emissions from the soil. Additional measurements of NO and
NO<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were conducted using a commercial chemiluminescence instrument
(Thermo Environmental Instruments Inc. Model 42C), and measurements of the
photolysis rate constant for NO<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) were conducted using a
radiometer.</p>
      <p id="d1e2814">An average of HONO measurements from  4–8 September 2019 is presented in
Fig. 7a. At this site, average mixing ratios of NO<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> varied from less
than 500 ppt at night up to approximately 1 ppb during morning rush hour,
while mixing ratios of NO were below the detection limit of the instrument
but estimated to be less than 300 ppt based on previous measurements of the
<inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> ratio at this site (Lew et al., 2020). At night, HONO mixing
ratios ranged from approximately 35 ppt to 75 ppt. Maximum observed HONO
mixing ratios of approximately 150 ppt occurred during the day, indicating
the presence of strong HONO sources that can compete with the loss of HONO
due to photolysis during the daytime. Measurements of OH radical
concentrations for these days by this instrument using spectral modulation
to determine the instrument background reached a maximum value of 6–8  <inline-formula><mml:math id="M178" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M180" 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>, similar to that observed previously by the
IU-FAGE instrument at this site after measured interferences were subtracted
(Lew et al., 2020). While it is possible that the LP/LIF instrument is also
subject to unknown OH interferences, the single-pass laser system
minimizes the effect of laser-generated interferences compared to the
multi-pass system utilized by the IU-FAGE instrument. In addition, unknown
interferences observed using chemical modulation by the IU-FAGE instrument
correlated with increases in temperature. Average temperatures during the
measurement period were lower than the summer measurement period described
in Lew et al. (2020), suggesting that any unknown interferences may not
have been detectable.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2871">Average measurements of HONO, OH, HONO<inline-formula><mml:math id="M181" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>OH, <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
temperature, RH, NO<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and HONO<inline-formula><mml:math id="M184" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>NO<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> from <bold>(a)</bold> the forested site and <bold>(b)</bold> the urban site. Mixing ratios of NO at the forested site were estimated
based on previous measurements of the <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratio at this site (dashed
green line). During the measurement period conducted at the urban site, the
detection cell was partially shaded by the building during the morning and
early afternoon, resulting in the observed peak in <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> at 15:00. Error
bars represent the standard deviation of the diurnal average measurements
(1<inline-formula><mml:math id="M189" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021-f07.png"/>

        </fig>

      <p id="d1e2977">Nevertheless, because measurements of potential interferences using chemical
modulation were not conducted during these days, the measured OH
concentrations represent an upper limit to the actual OH concentrations and
the <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> ratio a lower limit. The measured <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> ratio was
relatively constant during the day, resulting in an average value of
approximately 1000 at this site. These values are greater than the estimated
<inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> ratio assuming steady-state production and loss using Reactions (R2) and (R1) and assuming the loss of HONO by Reaction (R3) is negligible
compared to loss by photolysis (Reaction R1).
            <disp-formula id="Ch1.E17" content-type="numbered"><label>9</label><mml:math id="M193" display="block"><mml:mrow><mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mrow class="chem"><mml:mi mathvariant="normal">SS</mml:mi></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
         <?pagebreak page6048?> Because the mixing ratio of NO was below the detection limit of the
instrument (less than approximately 500 ppt), the concentration of NO used in
this equation was estimated based on previous measurements of the
<inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio at this site. The value of <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was calculated as a
function of solar zenith angle (Jenkin et al., 1997) and corrected for cloud
coverage according to measured <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values. As illustrated in Fig. 7a,
the estimated <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> ratio using this equation agrees with the measured
ratio in the morning and evening but decreased in the afternoon to a value
of approximately 10 as photolysis of HONO increased, returning to a value of
approximately 1000 in the evening. The difference between the measured and
modeled ratio reflects the magnitude of the missing HONO source in this
environment, likely due to soil emissions mediated by the microbial
community structure at this site (Mushinski et al., 2019).</p>
      <p id="d1e3159">A second outdoor measurement period occurred on the roof of the
Multidisciplinary Science Building II near the center of the Indiana
University Bloomington campus. Sampling occurred at a height of
approximately 12 m above the ground and 1–5 m away from building surfaces.
This measurement site is adjacent to local roads and is influenced by direct
emissions from traffic and other anthropogenic sources. Average measurements
from 14 and 15 October 2019 are shown in Fig. 7b. At this
location, mixing ratios of NO were typically 0.25 ppb at night and
increasing to approximately 0.7–1 ppb during the morning and evening rush
hours. NO<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> varied from 0.5 to 2 ppb during the day and night, higher
than that observed at the IURTP site. Overall, HONO mixing ratios were
higher than those observed at the IURTP, with maximum mixing ratios of
350–400 ppt at night decreasing to 50–100 ppt during the day. Measured OH
concentrations by the instrument were similar to that observed<?pagebreak page6049?> at the
forested site, with maximum observed concentrations of 6–8 <inline-formula><mml:math id="M200" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M201" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M202" 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>. As at the forest site, chemical modulation experiments
to measure unknown interferences were not done during these days; thus these
OH measurements represent an upper limit to the actual OH measurements. In
contrast to the forest site, the measured <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> ratio at the urban
site varied during the course of the day, decreasing from a value of
approximately 10<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> during the morning to a value of approximately 100
during the afternoon and increasing to a value of 10<inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> in the evening.
This trend is similar to that estimated by the steady-state <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>
ratio using Eq. (9). While the ratio estimated by this equation
reproduces the measured ratio in the afternoon and evening, it
underestimates the measured ratio in the morning, again suggesting that
there is an additional source of HONO at this site either from direct
emissions or heterogeneous production.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Indoor measurements</title>
      <p id="d1e3266">In 2018, the LP/LIF instrument was deployed inside a test house in Austin,
Texas, as part of the HOMEChem study (Farmer et al., 2019). HOMEChem was a
collaborative field study intended to investigate how household activities
influence emissions and chemistry of gases and particles within the indoor
environment. During the campaign HONO was measured by the Indiana University
LP/LIF instrument as well a high-resolution time-of-flight chemical
ionization mass spectrometer (HR-ToF-CIMS) from the University of Toronto
(Collins et al., 2018). Several cooking and cleaning perturbation
experiments were performed from  5–28 June. During this period the
instrumental sensitivity to OH was <inline-formula><mml:math id="M207" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.75 <inline-formula><mml:math id="M208" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> counts s<inline-formula><mml:math id="M210" 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> (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> mW)<inline-formula><mml:math id="M212" 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 measured photolysis efficiency was
0.34 % (1.5 W at 355 nm), resulting in a limit of detection for HONO of
approximately 9 ppt (10 min average, 1<inline-formula><mml:math id="M213" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>, 1–3 mW at 308 nm) (Table S1). Results from these experiments are summarized in Wang et al. (2020a).</p>
      <p id="d1e3339">The LP/LIF sampling axis was placed in the living area of a 111 m<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>
manufactured home, adjacent to two westward-facing windows. Results from a
repeated set of enhanced ventilation experiments, where all of the windows
and doors of the house were opened, are presented in Fig. 8. During the
ventilation periods the HONO mixing ratio was reduced to approximately 1 ppb
due to mixing with outdoor air and returned to a steady state of 3–4 ppb
within 20–30 min after ventilation was stopped. The fast return to
steady-state concentrations after ventilation ceased indicates that gas-phase HONO is in equilibrium with a reservoir of HONO precursors on interior
surfaces (Collins et al., 2018). These values are similar to those measured
by the University of Toronto CIMS instrument during this experiment (Wang et
al., 2020b), and a more complete instrumental intercomparison of the
HOMEChem HONO measurements will be presented in a future publication.
Additionally, during this experiment, the air conditioning unit in the house
was turned off to minimize variations due to the on–off cycling of the
system. As a result, the indoor temperature of the house slowly increased
until the unit was turned on at the end of the experiment. The observed
increase in HONO as the temperatures increased within the house during the
experiment suggests that the equilibrium is temperature dependent (Fig. 8).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e3353">HONO (blue) and temperature (red) data from the 4 June
ventilation experiment during the HOMEChem study. Shaded areas represent
ventilation periods (open doors and windows).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e3365">Measurements of HONO by the LP/LIF instrument (red
points) and the University of Toronto CIMS instrument (blue points) from a
cooking experiment <bold>(a)</bold> and a bleach mopping experiment <bold>(b)</bold> during the
HOMEChem study illustrating the interference in the LP/LIF instrument from
HOCl (green line) measured by the Colorado State University CIMS instrument.
The correlation coefficients for the bleach mopping experiment exclude the
LP/LIF measurements when HOCl was elevated (grey points).</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/6039/2021/amt-14-6039-2021-f09.png"/>

        </fig>

      <p id="d1e3380">Figure 9a illustrates an example of the LP/LIF measurements and the
University of Toronto CIMS instrument (Collins et al., 2018) during a
cooking event using a gas stove during HOMEChem. During this experiment,
mixing ratios of HONO were approximately 2 ppb for several hours prior to
the cooking episode. When the gas stove was turned on, mixing ratios of HONO
quickly increased to approximately 6 ppb before slowly decaying after the
gas stove was turned off. As illustrated in this figure, the LP/LIF
measurements of HONO were in excellent agreement with the CIMS measurements
during this event, with the measurements agreeing to less than 20 %, and
are representative of the overall agreement during the intercomparison,
which will be presented in a future publication. These results provide
confidence in the accuracy of the LP/LIF instrument and the calibration
method.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Potential interferences</title>
      <p id="d1e3391">Potential interferences with outdoor measurements of HONO include species
that photolyze at 355 nm, leading to both prompt and secondary production of
OH in the detection cell. Possible prompt interferences include HNO<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
H<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and organic peroxides, while potential secondary
interferences include species that could produce OH precursors from
photolysis, such as HO<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from the photolysis of HCHO and
HO<inline-formula><mml:math id="M219" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, which could react to produce OH. A previous analysis of
the impact of these species on the atmospheric pressure LP/LIF instrument by
Liao et al. (2006a) suggested that the photolysis of typical ambient mixing
ratios of these species would not lead to the production of significant OH
concentrations at a photofragmentation laser pulse energy<?pagebreak page6050?> of approximately
700 mJ at 355 nm, with 1 ppb of HCHO and 1 ppb HO<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> together
estimated to produce 0.16 ppt of OH, 1 ppb of H<inline-formula><mml:math id="M223" 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="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> estimated to
produce 1.1 ppt of OH, and 1 ppb of HNO<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> estimated to produce 0.03 ppt
of OH (Liao et al., 2006a). Given that the LP/LIF instrument described here
utilizes a much lower pulse energy (0.2 mJ) and the mixing ratios of
potential interfering species are reduced upon sampling at low pressure, it
is likely that any OH produced by photolysis of these species would be
significantly less than that estimated by Liao et al. (2006a) and would not
significantly interfere with outdoor HONO measurements. In addition, the
short time interval between the 355 and 308 nm laser pulses likely minimizes
these and other secondary interferences.</p>
      <p id="d1e3494">During HOMEChem, measurements of gas-phase organics were generally higher
indoors than outdoors across a broad range of species that were further
enhanced during cooking events (Farmer et al., 2019). The cooking events
likely increased the concentration of formaldehyde, as combustion from gas
stoves can be a significant source of formaldehyde, resulting in indoor
mixing ratios potentially greater than 10 ppb (Salthammer et al., 2010;
Logue et al., 2014). The agreement of the LP/LIF instrument with the CIMS
instrument during these events such as that illustrated in Fig. 9a suggests
that interferences from the photolysis of formaldehyde or the potential
reduction of the photofragmentation efficiency due to absorption of the 355 nm laser by formaldehyde are likely minimal. Unfortunately, formaldehyde
concentrations were not quantified during HOMEChem, and additional
measurements together with quantification of formaldehyde concentrations
will be needed to confirm these results.</p>
      <p id="d1e3497">However, higher concentrations of other species that photolyze at 355 nm,
leading to the formation of OH, could interfere with measurements of HONO.
One possible indoor interference is HOCl, which can be produced during
chlorine bleach mopping episodes. Figure 9b shows a bleach mopping
experiment during HOMEChem that resulted in the production of approximately
100–200 ppb of HOCl measured by the Colorado State University CIMS
instrument (Farmer et al., 2019). During several of these episodes,
measurements of HONO by the LP/LIF increased and were correlated with the
HOCl measurements while the HONO measurements by the University of Toronto
CIMS instrument decreased as expected during these bleach mopping episodes,
as the increase in pH likely impacted the surface equilibrium production of
HONO (Collins et al., 2018; Wang et al., 2020b). Although the absorption
cross section of HOCl is approximately a factor of 40–50 times lower than
that of HONO (1.2  <inline-formula><mml:math id="M226" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M228" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) (Burkholder et al., 2019),
the indoor mixing ratios of HOCl during several of these mopping episodes
were 50–100 times greater than the mixing ratios of HONO during these
experiments. Bleach mopping experiments that produced lower mixing ratios of
HOCl (less than 12 ppb) resulted in lower interferences in the LP/LIF
instrument and better agreement with the CIMS instrument. This interference
will be examined in more detail in a future publication. It appears unlikely
that outdoor mixing ratios of HOCl would be a significant interference given
that HOCl mixing ratios in marine environments are generally less than 1 ppb
(Lawler et al., 2011), much lower than the level of indoor HOCl that
produced an interference during HOMEChem. While the absorption cross
sections of HOBr and HOI are factors of approximately 10 and 30 times
greater than that of HOCl at 355 nm (Burkholder et al., 2019), outdoor
ambient mixing ratios of HOBr and HOI are much lower than ambient HOCl, with
measured values of HOBr less than 26 ppt in the arctic marine boundary layer
(Liao et al., 2012) and measured mixing ratios of HOI less than 70 ppt in
the marine boundary layer (Tham et al., 2021). Thus, it is unlikely that
outdoor mixing ratios of HOBr and HOI would significantly interfere with
LP/LIF measurements of HONO. However, these and other potential
interferences, both prompt and secondary, will need to be tested in the
laboratory.</p>
      <?pagebreak page6051?><p id="d1e3528">Because the HONO measurements require the subtraction of the fluorescence
signal due to ambient OH, the limit of detection of the instrument will vary
with the concentrations of ambient OH as discussed above. The worst limit of
detection will likely occur around solar noon when elevated photolysis
frequencies lead to large production rates for OH and a short lifetime for
HONO. In addition, while the current single-pass laser system with
excitation at 308 nm using a high repetition rate laser reduces
laser-generated OH from the photolysis of ozone, unknown interferences
leading to the formation of OH radicals inside the detection cell, such as
Criegee intermediates formed from the ozonolysis of alkenes (Rickly and
Stevens, 2018), could interfere with measurements of OH in addition to
impacting the HONO limit of detection. These and other unknown interferences
can be measured through the external removal of ambient OH through the
chemical modulation technique described above, similar to that used by the
IU-FAGE instrument (Griffith et al., 2016; Rickly and Stevens, 2018; Lew et
al., 2020). In the absence of an interference, this method could also be
used to improve the limit of detection of HONO through the removal of the
ambient OH background signal.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e3540">The LP/LIF instrument described here demonstrates a sensitivity and limit of
detection for HONO that is sufficient for ambient measurements of HONO in
both indoor and outdoor environments. Incorporating two separate lasers and
employing excitation and detection of the OH fragment at 308 nm in addition
to ambient sampling at low pressure minimizes interferences from laser-generated OH that may have impacted previous LP/LIF measurements of HONO at
atmospheric pressure (Liao et al., 2006a). The LP/LIF instrument has a
1<inline-formula><mml:math id="M229" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> detection limit for HONO of approximately 9 ppt for a 10 min
integration time using 1.5 W of radiation at 355 nm and a repetition rate of
10 kHz for photofragmentation of HONO, as well as 1–3 mW at 308 nm and a repetition
rate of 10 kHz for detection of the OH fragment. The instrument is
calibrated by determining the photofragmentation efficiency of HONO and
sensitivity to detection of the OH fragment through the titration of a known
concentration of OH from the photo-dissociation of water vapor with nitric
oxide to produce a known concentration of HONO. Measurement of the
concentration of the OH radical fragment relative to the concentration of
HONO provides a measurement of the photofragmentation efficiency. The
overall calibration uncertainty is estimated to be 35 % (1<inline-formula><mml:math id="M230" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>),
including the uncertainty associated with the OH calibration (18 %,
1<inline-formula><mml:math id="M231" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), and depends on the precision of the photofragmentation
efficiency measurement. The current limit of detection of HONO can be
improved by increasing the photofragmentation efficiency with a more
powerful laser system, by increasing the OH detection efficiency by increasing
the laser power at 308 nm, and through improvements to fluorescence
detection efficiency and the overlap of the photofragmentation and
excitation lasers.</p>
      <p id="d1e3564">The LP/LIF instrument has several advantages compared to other instrumental
techniques, as the technique is free of inlet artifacts such as
heterogeneous formation or loss of HONO on surfaces and likely has minimal
interferences from other atmospheric species. The ability to conduct near-simultaneous measurements of both HONO and OH concentrations by this
instrument will allow more accurate measurements of the <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> ratio
than individual measurements of each by separate instruments, given that the
uncertainty associated with the OH detection sensitivity cancels out in
measurements of the ratio in the LP/LIF instrument. Measurements of the
<inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> ratio in comparison to model predictions can provide important
information concerning the relative contribution of sources other than
gas-phase production and loss by Reactions (R1)–(R3), as illustrated in Fig. 7
and discussed above. Furthermore, the calibration method involving
production of HONO from the OH <inline-formula><mml:math id="M234" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO reaction using the established
calibration method for generating a known amount of OH provides a simple and
robust calibration for both OH and HONO in field settings.</p>
      <p id="d1e3614">In addition to improving the sensitivity of the instrument, future work will
involve identification and quantification of some of the potential
interferences in the measurements of HONO and OH by the LP/LIF instrument as
discussed above as well as improving the stability of the beam overlap in
order to improve the precision associated with the photofragmentation
efficiency calibration method. In addition, the measured HONO sensitivity by
the photofragmentation calibration method will be compared to that
determined through the production of HONO by the reaction of gas-phase
hydrochloric acid in a humidified gas stream with solid sodium nitrite (Febo
et al., 1995; Gingerysty and Osthoff, 2020; Lao et al., 2020). While this
calibration method is not as simple to implement in the field in addition to
requiring quantification of the HONO produced, comparison of the instrument
sensitivity derived from this calibration source in the laboratory would
provide additional confidence in the calibration of the instrument by the
photofragmentation method.</p>
</sec>

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

      <p id="d1e3622">Data are available upon request from the corresponding author
(pstevens@indiana.edu).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3625">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-14-6039-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-14-6039-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3634">SD, LM, BB, ER, and PS contributed to the design and construction of the
instrument. BB, ER, and PS were responsible for the calibrations and
measurements. BB, ER, and PS wrote the manuscript with contributions from all
coauthors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3640">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="d1e3646">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="d1e3652">We would like to thank James Flynn (University of Houston) for the
spectroradiometer used to obtain the <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> measurements. The CIMS
measurements of HONO are courtesy of  Jonathan Abbatt (University of
Toronto), and the CIMS measurements of HOCl are courtesy of  Delphine
Farmer (Colorado State University).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3672">This study was supported by the National Science Foundation, Directorate
for Geosciences (grant nos. AGS-1012161 and AGS-1827450), and the Alfred P.
Sloan Foundation, Chemistry of Indoor Environments Program (grant nos.
G-2017-9944 and G-2018-11061).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3678">This paper was edited by Lisa Whalley and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Development of a laser-photofragmentation laser-induced fluorescence instrument for the detection of nitrous acid  and hydroxyl radicals in the atmosphere</article-title-html>
<abstract-html><p>A new instrument for the measurement of atmospheric
nitrous acid (HONO) and hydroxyl radicals (OH) has been developed using
laser photofragmentation (LP) of HONO at 355&thinsp;nm after expansion into a
low-pressure cell, followed by resonant laser-induced fluorescence (LIF) of
the resulting OH radical fragment at 308&thinsp;nm similar to the fluorescence
assay by gas expansion technique (FAGE). The LP/LIF instrument is calibrated
by determining the photofragmentation efficiency of HONO and
calibrating the instrument sensitivity for detection of the OH fragment. In
this method, a known concentration of OH from the photo-dissociation of
water vapor is titrated with nitric oxide to produce a known concentration
of HONO. Measurement of the concentration of the OH radical fragment
relative to the concentration of HONO provides a measurement of the
photofragmentation efficiency. The LP/LIF instrument has demonstrated a
1<i>σ</i> detection limit for HONO of 9&thinsp;ppt for a 10&thinsp;min integration time.
Ambient measurements of HONO and OH from a forested environment and an urban
setting are presented along with indoor measurements to demonstrate the
performance of the instrument.</p></abstract-html>
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