<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<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" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">AMT</journal-id>
<journal-title-group>
<journal-title>Atmospheric Measurement Techniques</journal-title>
<abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1867-8548</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-10-1465-2017</article-id><title-group><article-title>Development of a portable cavity-enhanced absorption<?xmltex \hack{\break}?> spectrometer for the
measurement of ambient NO<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and<?xmltex \hack{\break}?> N<inline-formula><mml:math id="M2" 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="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>: experimental setup, lab
characterizations, and<?xmltex \hack{\break}?> field applications in a polluted urban environment</article-title>
      </title-group><?xmltex \runningtitle{Development of a portable cavity-enhanced absorption spectrometer}?><?xmltex \runningauthor{H. Wang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Haichao</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6161-1874</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Chen</surname><given-names>Jun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Lu</surname><given-names>Keding</given-names></name>
          <email>k.lu@pku.edu.cn</email>
        <ext-link>https://orcid.org/0000-0001-9425-9520</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>State Key Joint Laboratory of Environmental Simulation and Pollution Control, College of Environmental Sciences<?xmltex \hack{\newline}?> and Engineering, Peking University, Beijing, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>College of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Keding Lu (k.lu@pku.edu.cn)</corresp></author-notes><pub-date><day>19</day><month>April</month><year>2017</year></pub-date>
      
      <volume>10</volume>
      <issue>4</issue>
      <fpage>1465</fpage><lpage>1479</lpage>
      <history>
        <date date-type="received"><day>27</day><month>September</month><year>2016</year></date>
           <date date-type="rev-request"><day>10</day><month>October</month><year>2016</year></date>
           <date date-type="rev-recd"><day>26</day><month>March</month><year>2017</year></date>
           <date date-type="accepted"><day>28</day><month>March</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017.html">This article is available from https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017.html</self-uri>
<self-uri xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017.pdf</self-uri>


      <abstract>
    <p>A small and portable incoherent broadband cavity-enhanced absorption
spectrometer (IBBCEAS) for NO<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> measurement has been
developed. The instrument features a mechanically aligned non-adjustable
optical mounting system, and the novel design of the optical mounting system
enables a fast setup and stable operation in field applications. To remove
the influence of the strong nonlinear absorption by water vapour, a dynamic
reference spectrum through NO titration is used for the spectrum analysis.
The wall loss effects of the sample system were extensively studied, and the
total transmission efficiencies were determined to be 85 and 55 % for
N<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, respectively, for our experimental setup. The
limit of detection (LOD) was estimated to be 2.4 pptv (1<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
2.7 pptv (1<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at 1 s intervals for NO<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<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>O<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>,
respectively. The associated uncertainty of the field measurement was
estimated to be 19 % for NO<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> and 22–36 % for N<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>O<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
measurements from the uncertainties of transmission efficiency, absorption
cross section, effective cavity length, and mirror reflectivity. The
instrument was successfully deployed in two comprehensive field campaigns
conducted in the winter and summer of 2016 in Beijing. Up to 1.0 ppb
NO<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M19" 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="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> was observed with the presence of high aerosol
loadings, which indicates an active night-time chemistry in Beijing.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The nitrate radical (NO<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) and dinitrogen pentoxide
(N<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are the most important reactive nitrogen species in
night-time chemistry (Wayne et al., 1991). The NO<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is dominantly formed
by the reaction of NO<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with O<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Reaction R1), which contributes to
the night-time oxidation of volatile organic compounds (VOCs; Reaction R2)
and the production of the organic nitrate (Fry et al., 2009; Riemer et al.,
2003). NO<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can react with NO rapidly (Reaction R3), and NO<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> absorbs
red light effectively by its strong B<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>E<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>-X<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>A<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> electronic
transition centred around 662 nm (Yokelson et al., 1994). Such strong
absorption in the visible light range promotes the development of optical
instruments applied in ambient NO<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> detection. After formation, NO<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
holds a thermal exchange with N<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (reactions R4a and b), which is
defined by the NO<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration and the ambient temperature (Brown et
al., 2003a). The heterogeneous reaction of N<inline-formula><mml:math id="M38" 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="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> on ambient aerosols
plays an important role on the NO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> removal from regional to global
scales (Brown et al., 2006; Brown and Stutz, 2012; H. C. Wang et al., 2015)
and shows a potentially significant impact on the ambient RO<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> chemistry
and photochemical ozone productions through halogen activation (Reaction R5;
Osthoff et al., 2008; Thornton et al., 2010; Phillips et al., 2012; Tham et
al., 2016). <?xmltex \hack{\newpage}?></p>
      <p>

              <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M42" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><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:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">VOCs</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mtext> products</mml:mtext><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          <?xmltex \hack{\vspace*{-0.91cm}}?>

              <disp-formula id="Ch1.E4" specific-use="align" content-type="subnumberedsingle reaction"><mml:math id="M43" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4.1"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4.2"><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:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          <?xmltex \hack{\vspace*{-0.91cm}}?>

              <disp-formula id="Ch1.E5" content-type="numbered reaction"><mml:math id="M44" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow><mml: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:mtext> or </mml:mtext><mml:msup><mml:mrow class="chem"><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">ClNO</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

        NO<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is a radical with a short lifetime, high reactivity, and an extremely
low mixing ratio in ambient air (Wayne et al., 1991), which means that field-deployable NO<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurement techniques should feature high sensitivity,
high selectivity, and high temporal and spatial resolutions. The requests
are less rigorous for detection of N<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>O<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, since, in general, it has
higher concentrations and less reactivity than NO<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p>There are several existing methods based on optical spectroscopy and mass
spectrometry for the in situ detection of NO<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. With
respect to the optical approaches, NO<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> detection is based on its strong
absorption around 662 nm (Yokelson et al., 1994), and N<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> can be
measured following thermal dissociation to NO<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Since the 2000s, cavity
ring-down spectroscopy (CRDS) has been used in the field measurement of both
NO<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Simpson, 2003; Brown et al., 2002; Dubé et
al., 2006; Nakayama et al., 2008; Schuster et al., 2009). CRDS has high
temporal and spatial resolution with high sensitivity and accuracy.
Cavity-enhanced absorption spectroscopy (CEAS) was proposed later by Fiedler
et al. (2003) and has been successfully deployed to measure a number of
atmospheric trace gas compounds like HONO, H<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, IO, O<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>,
I<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, IO, OIO, SO<inline-formula><mml:math id="M64" 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="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, N<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>O<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, glyoxal (CHOCHO), and
methylgloxal (CH<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>COCHO; Washenfelder et al., 2008, 2013, 2016; Thalman
and Volkamer, 2010; Gherman et al., 2008; Axson et al., 2011; Kahan et al.,
2012; Min et al., 2016). The measurement of NO<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was shown to be
successful in simulation chamber conditions with an open-path incoherent
broadband CEAS setup (Venables et al., 2006; Varma et al., 2009), and shortly
afterwards, the closed cavity type of IBBCEAS was successfully deployed on
the ground (Langridge et al., 2008; Benton et al., 2010) and airborne
(Kennedy et al., 2011) for measurements of both NO<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M71" 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="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>.
According to comparison experiments at the SAPHIR chamber (Fuchs et al.,
2012; Dorn et al., 2013), the CEAS technique shows a similar detection
capability for N<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to that of CRDS (e.g. Brown et
al., 2003b, 2006; Benton et al., 2010; Kennedy et al., 2011; Crowley et al.,
2010; Sobanski et al., 2016). For the laser-induced fluorescence (LIF), its
detection sensitivity is, in general, smaller than that of the
cavity-assisted absorption techniques due to the low fluorescence quantum
yield of NO<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Matsumoto et al., 2005). In addition to optical
approaches, different chemical ionization mass spectrometry (CIMS) methods
have been used for the detection of ambient N<inline-formula><mml:math id="M77" 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="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Slusher et al.,
2004; Fortner et al., 2004; Kercher et al., 2009; Chang et al., 2011).
Slusher et al. (2004) utilized ion reaction (I<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<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>O<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>→</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to detect N<inline-formula><mml:math id="M83" 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="M84" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> at 62 amu (NO<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.
Nevertheless, this approach showed cross sensitivity towards NO<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (I<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>→</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and additional interference from species
like ClONO<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and BrONO<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. A strong unknown interference at 62 amu
was found for the detection of N<inline-formula><mml:math id="M92" 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="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> under a high-NO<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> regime in
Hong Kong (Wang et al., 2014). Kercher et al. (2009) introduced an
ion-molecule region (IMR) module wherein the ion reaction, I<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M96" 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="M97" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>→</mml:mo></mml:mrow></mml:math></inline-formula> I(N<inline-formula><mml:math id="M98" 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="M99" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, is enhanced so that
N<inline-formula><mml:math id="M100" 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="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> can be detected specifically at 235 amu. With this method, a
direct measurement of N<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>O<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is achieved, showing a good comparison
with the well-established CRDS system in Hong Kong (Wang et al., 2016).</p>
      <p>Until now, field measurements of NO<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<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>O<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> have been
extensively conducted in both the United States of America (USA) and Europe
but have been sparse in China (i.e. Brown et al., 2006; Crowley et al., 2010;
Benton et al., 2010), with only a few conducted in Hong Kong, Shanghai, and
the North China Plain (Wang et al., 2016, 2013; Brown et al., 2016; Tham et
al., 2016). From satellite observations, it was found that the USA, Europe,
and China are the three major high-NO<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> regions worldwide (e.g. Richter
et al., 2005). Moreover, in the North China Plain areas, the high-NO<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
air masses often overlap with high aerosol loadings from both secondary
aerosol particle formation as well as nearby natural sources (e.g. dust from
the Gobi Desert in the spring) and serve as ideal locations for the study of
NO<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<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>O<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> chemistry. To probe such potentially interesting
chemistry in China, we developed a new light-emitting diode (LED)-based
IBBCEAS (incoherent broadband cavity-enhanced absorption spectrometer)
instrument for the detection of NO<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<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>O<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. In this study,
the detailed setup of our instrument, lab characterizations, and its first
field applications in Beijing are presented.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>A schematic of the newly developed IBBCEAS instrument for the
detection of NO<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M116" 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="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. <bold>(a)</bold> Overview of the
optical layout (LEDs, collimating optics, high-finesse cavity, and
spectrometer) and the flow system (aerosol filter, inlet, NO titration
module, preheating tube, and detection cell). <bold>(b)</bold> The schematic
layout of the mirror mounts, which enables a mechanical alignment of the
high-reflectivity (HR) mirrors. <bold>(c)</bold> A photograph of the mirror
mounts. <bold>(d)</bold> The schematic layout of the NO titration module; the red
arrow denotes the N<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> gas flow, and the blue arrow denotes the NO gas
flow.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <title>The instrument</title>
      <p>Our IBBCEAS instrument is designed to measure the ambient NO<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
N<inline-formula><mml:math id="M120" 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="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and features a small size, easy portability, and low power
consumption. The total weight is less than 25 kg, approximate dimensions are
<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mn mathvariant="normal">95</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> cm, and the power consumption is less than 300 W,
which potentially meets the requirements for future applications on mobile
platforms. The system is distinct from previous IBBCEAS systems
(Langridge et al., 2008; Schuster et al., 2009; Kennedy et al., 2011) because
of its rigid cavity design, fast setup, and stable operation (e.g. the
thermal alignment drift is minimized) in field campaigns. A dynamic NO
titration setup was used to obtain the reference spectrum, which removed the
influence of ambient water vapour so that the fitting precision was
significantly enhanced.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S2.SS1">
  <title>Optical layout</title>
      <p>The schematic layout of the instrument is shown in Fig. 1a. The optical
layout consists of a temperature stabilized light source, collimating optics,
and a commercial spectrograph with a charge-coupled device (CCD) detector. The light
source and collimating optics were concentrically integrated on an aluminium
profile (<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mn mathvariant="normal">75</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> cm).</p>
      <p>A single-colour LED (LZ1-10R200, LED Engin, Marblehead, MA, USA) is used as
the light source and is mounted on a three-dimensional (3-D) adjustable
bracket. The manufacturer-specified full luminosity output is about 800 mW,
centred at the deep red light region (660 nm), and the full width at half
maximum (FWHM) is 25 nm. To minimize the wavelength shift and intensity
drift caused by the LED temperature drift, the LED plate is mounted on an
aluminium block and uses a thermoelectric cooler
control module to stabilize the temperature of the aluminium block at
17.5 <inline-formula><mml:math id="M124" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 <inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The aluminium block is thermally insulated to
reduce heat exchange with the ambient surroundings.</p>
      <p>Before light is emitted into the high-finesse cavity, a plano-convex lens (<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> mm) is concentrically installed into the lens tube (shown in Fig. 1a
as L1) to collimate the red light into the high-finesse cavity. The
high-finesse cavity is formed by a pair of high-reflectivity (HR) mirrors
(102116, Layertec GmbH, Mellingen, Germany) with a diameter of 25.0 mm
(<inline-formula><mml:math id="M127" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.00/<inline-formula><mml:math id="M128" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.10 mm). The peak reflectivity of the HR mirrors at 660 nm is
reported to be larger than 99.99 % with a radius curvature of
100 <inline-formula><mml:math id="M129" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 cm. The two HR mirrors are mounted on two customized lens
tubes, and the lens tubes are mechanically mounted on two matching lens tube
holders, which are installed on an aluminium profile to maintain the distance
between the two mirrors at 50.0 cm. Due to the high-precision machining and
assembly, the two lens tubes (shown as the scheme in Fig. 1b and the
corresponding photograph in Fig. 1c) and the HR mirrors are mechanically
aligned to have concentricity (&lt; 0.01<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>). Each HR mirror is
continuously purged by 100 mL min<inline-formula><mml:math id="M131" 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> high-purity nitrogen flow to
prevent particle contamination by the sample gas flow.</p>
      <p>The optical cavity is enclosed by a sample gas detection cell with a sample
inlet, outlet, and two welded corrugated pipes connected at two ends. The
light exiting the cavity is further imaged by a plano-convex lens (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> mm) installed on the lens tube (shown in Fig. 1a as L2) that couples the
output light onto the lead of a 100 <inline-formula><mml:math id="M133" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m diameter, 0.22 numerical
aperture optical fibre (QP100-2-UV-VIS, Ocean Optics, Dunedin, FL, USA). The
lead of the fibre is mounted on a 3-D adjustable bracket and integrated on
the aluminium profile. The other lead of the fibre directs the cavity output
light into the spectrometer (QE65PRO, Ocean Optics, Dunedin, FL, USA). The CCD in the
QE65000 spectrograph is thermally regulated at <inline-formula><mml:math id="M134" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.0 <inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C to
minimize the dark current. The line density of the diffraction grating of the
spectrometer is 1200 mm<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the entrance slit width is 100 <inline-formula><mml:math id="M137" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m,
and the spectral resolution FWHM is 0.85 nm with the wavelength coverage of
580–710 nm. The instrument works under a signal-to-noise
ratio estimated to be larger than 500 : 1.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Flow system</title>
      <p>The instrument sample flow system includes the aerosol filter, the inlet
tube, the preheating tube and heated detection cell, and sensors for
temperature, pressure, and relative humidity. During the field measurements,
we operate with a sample flow rate of 2.0 L min<inline-formula><mml:math id="M138" 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>. A Teflon
polytetrafluoroethylene (PTFE) filter
(25 <inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m thickness, 4.6 cm diameter, 2.5 <inline-formula><mml:math id="M140" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m pore size,
Typris, China) is used in the front of the sample module to remove ambient
aerosols. After the filtration of the aerosols, the sample gas flow is
delivered into the preheating tube through a 1.5 m perfluoroalkoxy
alkanes (PFA) inlet tube (Entegris,
I.D. <inline-formula><mml:math id="M141" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.35 mm). A 35 cm long PFA tube (Entegris, I.D. <inline-formula><mml:math id="M142" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.35 mm)
is installed in the front of the inlet interface as a preheating tube to
dissociate N<inline-formula><mml:math id="M143" 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="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> to NO<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. This preheating tube is heated and
stabilized at 120 <inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. With this setup of temperature and residence
time, N<inline-formula><mml:math id="M147" 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="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is completely decomposed to NO<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the preheating
tube.</p>
      <p>In Fig. 1b, the central part of the detection cell is constructed using a
35.6 cm long PFA tube (marked in light green; Entegris, I.D. <inline-formula><mml:math id="M150" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.0 mm),
enclosed by a stainless steel tube (marked in grey). Each end of the stainless
steel tube is connected with a PFA interface (marked in green) which set up the
inlet and outlet and further connected with the corrugated pipes. With this
combination, the loss of NO<inline-formula><mml:math id="M151" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> during detection is minimized. The total
PFA cell length is 44.0 cm, but the length from the inlet to the outlet is
only 39.2 cm. The sample gas flow cell is heated and stabilized at 80 <inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C to prohibit the reverse reaction of NO<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
producing N<inline-formula><mml:math id="M155" 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="M156" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Dynamic reference spectrum</title>
      <p>The effect of non-Beer–Lambert behaviour of
water vapour absorption lines near 660 nm has to be well accounted for to
achieve accurate and precise NO<inline-formula><mml:math id="M157" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> detection (Langridge et al., 2008; Dorn
et al., 2013). A few groups reported that the water vapour absorption can be
determined with an “effective” water vapour absorption cross section from a
look-up table approach or a real-time iterative calculation approach under
atmospheric conditions (Varma et al., 2009; Langridge et al., 2008; Kennedy
et al., 2011). In this work, we solve this problem by using a dynamic
reference spectrum through frequent addition of NO into the inlet. This
method has previously been used to acquire the chemical zero in the CRDS
method (Brown et al., 2002; Crowley et al., 2010). Through the frequent
addition of NO, the reference spectrum contain optical extinction from other
absorbers in this spectral region, for example water vapour, NO<inline-formula><mml:math id="M158" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
O<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and any aerosols not removed by the filter. For the CRDS method, the
NO addition is carefully designed so that the resulting extinction of
increased NO<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the reference measurement compared to that of NO<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
is negligible. For the CEAS method, the NO addition is a little less precise
since this method allows for observation of NO<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> separately from NO<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
due to their different spectral shapes. In both cases, the effect of water
vapour is removed, and the fitting precision increases significantly in our
applications.</p>
      <p>The NO titration module is connected to the inlet tube by a PFA tee-piece.
Using a computer-controlled solenoid valve, the instrument measures
reference and sample spectrum sequentially by switching the NO injection on
and off (NO <inline-formula><mml:math id="M164" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 98.0 ppmv, flow rate <inline-formula><mml:math id="M165" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.0 mL min<inline-formula><mml:math id="M166" 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>). A high-purity N<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
line (I.D. <inline-formula><mml:math id="M168" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.50 mm) is added at the exit of the solenoid valve by a PFA
tee-piece to flush the residual NO after the NO injection is switched off
(Fig. 1d). The resulting NO mixing ratio is about 480 ppbv in the sample
flow when NO injection is performed. Since 8.0 ppbv N<inline-formula><mml:math id="M169" 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="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> was once
observed and reported in Hong Kong (Wang et al., 2016) as an extreme case,
the ambient NO<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, N<inline-formula><mml:math id="M172" 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="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, and O<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were set at about 1,
10, and 100 ppbv, respectively, for the simulation, proving that the
ambient NO<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> can be removed within a time scale of
0.05 s when NO is injected (Fig. 2).</p>
      <p>The NO<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> impurity in the used NO standard is analysed by a commercial
NO<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> instrument (TE-42i). The NO<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> impurity is found to be around 0.8 %, which means 4 ppbv of NO<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is present in the reference spectrum
measurement with the presence of 480 ppbv NO. The NO<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in
the preheating tube and detection cell react with the high concentration of
NO and generate NO<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. In the case shown as Fig. 2, the additional
NO<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> produced during the measurement of the reference spectrum can reach
up to 55 ppbv (with the initial additional NO<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> set at 4 ppbv).
Therefore, to use this dynamic reference spectrum, we normally fit both
NO<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to cover the limiting cases when the generated
NO<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is high. Nevertheless, the fitted NO<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration will be
negative since the NO<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations are higher in the reference
spectrum.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Simulation of the change of the mixing ratios of NO<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
N<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, and NO<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> during the NO titration mode in the preheating
tube and detection cell for an extremely high NO<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M197" 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="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
case. The initial ambient NO<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, N<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, and O<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were set at 1,
10, and 100 ppbv, respectively. The initial NO<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was set at 4 ppbv from
the impurity of the used NO standard.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017-f02.pdf"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <title>Characterizations</title>
      <p>The principle of the IBBCEAS system was systematically introduced by Fiedler
et al. (2003) and will only be introduced briefly here. The extinction
coefficient (<inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the cavity intrinsically consists of
the absorption, the Rayleigh, and the Mie scattering, caused by the gas
samples (Eq. 1). The <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> can be determined through
measurements of the intensity of the sample spectrum, the reference spectrum,
the mirror reflectivity, and the effective cavity length

              <disp-formula specific-use="align" content-type="numbered"><mml:math id="M206" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="italic">α</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mfenced><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>R</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>=</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>n</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">Mie</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">Rayl</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          In Eq. (1), <inline-formula><mml:math id="M207" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is the wavelength of light; <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are the number density and absorption cross section of the
<inline-formula><mml:math id="M210" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th gas compound, respectively, which causes absorption of the incident
light; <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the effective cavity length; <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the mirror
reflectivity; <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">Rayl</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the extinction due to
Rayleigh scattering; <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">Mie</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the extinction due to
Mie scattering; <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the reference spectrum; and
<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mi>I</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the sample spectrum. According to Eq. (1), the parameters
include the cross section of the strong light absorbing gases in the
target wavelength range, the effective cavity length, and the mirror
reflectivity that has to be quantified.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{The absorption cross section ($\sigma _{{i}}(\lambda)$)}?><title>The absorption cross section (<inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>)</title>
      <p>The effective absorption cross section of the abundant ambient absorbers,
NO<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<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>, in the wavelength window of 640–680 nm needs to be
determined to retrieve the molecule number density of NO<inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Since we used
a dynamic reference spectrum, which contains the same amount of water vapour
as that of the measured sample spectrum (Sect. 2.3), the calculation of the
strong nonlinear absorption lines of H<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>O in this wavelength window is
avoided. The NO<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> absorption cross section is known to be temperature
dependent (Wangberg et al., 1997; Sander, 1986; Ravishankara and Mauldin,
1986; Yokelson et al., 1994; Orphal et al., 2003; Osthoff et al., 2007).
Under the heated cavity conditions (353 K), the effective absorption cross
section of NO<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is calculated by two steps: (1) the reported cross
section of NO<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Yokelson et al., 1994) is scaled to the ratio of the
band's peak intensity at 662 nm between 298 and 353 K according to Osthoff
et al. (2007) and (2) the scaled absorption cross section is further
convoluted with an instrument function determined with the neon emission line
at 659.48 nm. Consequently, the calculated effective cross section at 353K
is about <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.77</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M226" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 662 nm, and the
uncertainty of the temperature correction and convolution is estimated to be
13 %. Under cold cavity conditions (298 K), the NO<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> cross section
is convoluted directly to our spectral resolution with a peak value of
<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.02</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 662 nm, and the
uncertainty of the convolution is estimated to be 10 % (Kennedy et al.,
2011). The NO<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> cross section is reported to be not sensitive to the
temperature change (Voigt et al., 2002), so that only convolution is
performed to derive its effective absorption cross section for our instrument
setup. Figure 3 shows the temperature-scaled and instrumental resolution
convolved NO<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> absorption cross section at 353 K and the convolved
NO<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> absorption cross section, respectively. The cross section of
NO<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> near 662 nm is three orders of magnitude larger than that of
NO<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Absorption cross section of NO<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from 640 to
680 nm. The green thin line is the original cross section of NO<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at
298 K determined by Voigt et al. (2002), the green thick line is the
convolved result, the orange thin line is the original cross section of
NO<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at 298 K determined by Yokelson et al. (1994), and the red thick
line is the temperature-scaled and convolved cross section at 353 K.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017-f03.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{The mirror reflectivity ($R$($\lambda$))}?><title>The mirror reflectivity (<inline-formula><mml:math id="M241" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M242" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>))</title>
      <p>The mirror reflectivity (<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is an important parameter to be
determined for the CEAS type of instrument. In previous work, <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> had
been determined through four different methods, including the detection of a
stable trace gas compound with known concentrations (Venables et al., 2006),
the differentiation of pure gases with distinct Rayleigh scattering cross
sections (Chen and Venables, 2011; Washenfelder et al., 2016; Min et al.,
2016), the usage of low-loss optics (Varma et al., 2009), and the
determination of the phase shift or ring down time (Langridge et al., 2008;
Schuster et al., 2009; Kennedy et al., 2011). In this study, <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is
determined through the differentiation of pure gases (N<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and He) in the
cavity (Eq. 2) during the field campaigns. The Rayleigh scattering cross
sections for N<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Rayl</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and He
(<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Rayl</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">He</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are found in Sneep and
Ubachs (2005) and Shardanand and Rao (1977), respectively.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M250" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>R</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="0.25em"/><?xmltex \hack{\hbox\bgroup\fontsize{8.4}{8.4}\selectfont$\displaystyle}?><mml:mo>×</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mo>×</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Rayl</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">He</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mo>×</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">He</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Rayl</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">He</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">He</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            In Eq. (2), <inline-formula><mml:math id="M251" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> is the distance between the two high-reflectivity mirrors
(50.0 cm); <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">He</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
represent the light out spectrum determined when the cavity is filled by
N<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or He through the purge flow injection lines, respectively; and
<inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">He</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the calculated number density of
N<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and He, respectively, at the measured temperature and pressure in the
cavity. Figure 4 shows the mirror reflectivity calibration results during the
field measurements performed at the campus of the University of Chinese
Academy of Science (UCAS) in Beijing during winter 2016. The bold black line
is the average reflectivity of the five measurements of <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. It is
noted that the peak of <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is 0.999936 <inline-formula><mml:math id="M260" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.000002 at
662 nm. Under the protection of the purge flow and due to the mechanically
aligned setup of the cavity system, the determined <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is
remarkably stable during this field campaign. The bold red line is the
average cavity loss, which is equal to (<inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:math></inline-formula>, with the
maximized point near 662 nm of (1.28 <inline-formula><mml:math id="M263" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01) <inline-formula><mml:math id="M264" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M265" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(1<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The total uncertainty of the reflectivity is about 5 %,
which is dominated by the scattering cross sections of N<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, according to
Sneep and Ubachs (2005). The uncertainty for He makes a negligible
contribution (Washenfelder et al., 2008).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Mirror reflectivity and cavity losses calibrated with high-purity He
and N<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the current experimental setup during the field measurements.
The original calibration results were depicted by varying coloured lines: the
smoothed black bold line is the average <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and the smoothed bold
red line is the average cavity loss ((<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:math></inline-formula>) from five
measurements. The mean (<inline-formula><mml:math id="M271" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1<inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value at 662 nm of reflectivity and
the cavity loss are 0.999936 <inline-formula><mml:math id="M273" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.000002 and
(1.28 <inline-formula><mml:math id="M274" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01) <inline-formula><mml:math id="M275" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. The effective path
length at 662 nm reached 6.13 km.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017-f04.pdf"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{The effective cavity length ($d_{{\mathrm{eff}}}$)}?><title>The effective cavity length (<inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</title>
      <p>The effective cavity length (<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> represents the cavity length
occupied by the absorbing gas when the sample flow is stable. Since the
continuous purge flow occupies the two ends of the cavity to protect the
mirrors, the <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is usually shorter than the distance between
the two high-reflectivity mirrors (defined as <inline-formula><mml:math id="M280" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>, which is 50.0 cm in our
setup) and longer than the distance between the sample inlet and outlet
(defined as <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">sample</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which is 39.2 cm in our setup). We
determine the <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by supplying an NO<inline-formula><mml:math id="M283" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> gas standard
(200 ppbv) with a constant flow into the cavity with purge flow and by
retrieving the <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> based on Eq. (1). The 200 ppbv NO<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
sample is prepared by a bottle standard of NO<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (80.8 ppm) diluted with
high-purity synthetic air (O<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>: 20.5 %, N<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>: bal) through a gas
mixer (TE-146i). The uncertainty of the prepared NO<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> standard is
estimated to be 2 %, while the uncertainty of the NO<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> absorption
cross section is estimated to be 4.7 % according to Voigt et al. (2002).
In our measurement, the <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is determined to be 45.0 cm, which
occupies 90.0 % of the total length of the optical cavity. Moreover,
<inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">sample</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is 78.4 % of the length of the total optical cavity.
The <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">sample</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is shorter than <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, indicating
that there is turbulent mixing of sample gas into the purge
volumes. Since the possibility of this
turbulent mixing is slow relative to the rate of the NO<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> wall losses,
the determination of the <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for NO<inline-formula><mml:math id="M297" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is associated with an
additional uncertainty of 12 %, and the total uncertainty of the
determined <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with this approach is about 13 %.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Results and discussion</title>
<sec id="Ch1.S4.SS1">
  <title>Spectral fitting</title>
      <p>A least-squares spectral fitting software package was developed for
retrieving the molecule number densities of NO<inline-formula><mml:math id="M299" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M300" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The
optimized spectral fitting window was found to be from 640 to 680 nm, and a
third-order polynomial was applied to fit the background drift and
unaccounted scattering effect. Figure 5 shows an example of the spectral
fitting of a measurement spectrum of NO<inline-formula><mml:math id="M301" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at 5 s integration time with
ambient measurement. By using the dynamic reference spectrum, the spectral
fitting is targeted at NO<inline-formula><mml:math id="M302" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M303" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> as explained above. The
retrieved mixing ratio of NO<inline-formula><mml:math id="M304" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (that actually represents the
NO<inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M306" 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="M307" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> concentration in the gas samples) is 64 pptv and
that of NO<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is <inline-formula><mml:math id="M309" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>33 ppbv, which was mainly caused by the conversion of
ambient O<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (80 ppbv) with the added NO in the measurement of the
reference spectrum. The corresponding fitting residual is in the range of
<inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M312" 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 H<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O absorption is found to
be cancelled out in the residual spectrum. Moreover, an example time series
of NO<inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M315" 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="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> measurement results during ambient measurements
is shown in Fig. 6. During ambient measurement, the NO titration is performed
periodically to acquire the dynamic reference spectrum. In Fig. 6, the red
points mark the effective ambient measurement result, which covered 4 min
20 s of every 5 min, and the blue points include 20 s for the zero points
and a 20 s switching phase between the two modes, which is discarded from
the data analysis.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>An example of the spectral fit for an extinction spectrum measured
(5 s average) during field measurements. The fitted results of NO<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
NO<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are shown as well as the third-order polynomial, the total fit
result, and the residual.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017-f05.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>An example time series of NO<inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M320" 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="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> detection
performed at a rural site in Beijing with 5 s spectrum integral time. The
red points denote the ambient measurement mode without NO addition, and the
blue points denote the 20 s zero points (determination of the dynamic
reference spectrum) with NO addition and 20 s switching time between the
titration mode and the sample mode.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017-f06.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <?xmltex \opttitle{Transmission efficiency of NO${}_{{3}}$ and N${}_{{2}}$O${}_{{5}}$}?><title>Transmission efficiency of NO<inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M323" 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="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p>For the accurate measurement of NO<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, the wall loss
reactivity of the sample manifold and the detection cell need to be
determined. This includes (1) the wall loss on the filter, (2) the wall
loss on the inner surface of the inlet tube, and (3) the wall loss in the
preheating tube and the detection cell. To determine the wall loss
reactivity, an NO<inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> source module with stable mixing ratio
(<inline-formula><mml:math id="M331" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 %) is set up in the lab. In this module, high-purity synthetic
air and NO<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is supplied to a gas mixer (TE-146i), and O<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is
generated in this gas mixer through the irradiation of a mercury lamp. The
supplied NO<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and the produced O<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is further delivered into a 160 L
smog chamber to generate stable concentrations of NO<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
N<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M338" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. Commercial NO<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (TE-42i) and O<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> monitors (TE-49i) are
operated to quantify the mixing ratio of NO<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the
chamber. According to the detected concentration of NO<inline-formula><mml:math id="M343" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, we
can modulate the delivered concentration levels of NO<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
N<inline-formula><mml:math id="M346" 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="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> with the help of a box model.</p>
<sec id="Ch1.S4.SS2.SSS1">
  <title>Filter loss</title>
      <p>The filter transmission efficiency of NO<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is
determined through the differentiation of an inlet without a filter, with a
clean filter (25 <inline-formula><mml:math id="M351" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m thickness, 4.6 cm diameter, 2.5 <inline-formula><mml:math id="M352" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m pore
size, Typris, China), and with used filters saved during typical pollution
episodes during field measurements. According to previous field measurements
of NO<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M354" 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="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (e.g. Brown et al., 2001; Schuster et al.,
2009), frequent filter change is suggested, and the frequency is proposed to
be 0.5–3 h, depending on the aerosol loadings to reduce the impact of the
filter aging caused by aerosol accumulation. For this reason, we changed the
filter with a regular time interval (once every hour) during pollution
episodes. For clean conditions, the filter exchange frequency was reduced to
be once every 2 h.</p>
      <p>For the determination of the NO<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> filter transmission efficiency, an
additional preheating tube is inserted in front of the detection system to
convert all the generated N<inline-formula><mml:math id="M357" 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="M358" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> delivered by the calibration source
to NO<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The determined clean filter transmission efficiency is 75 %
for NO<inline-formula><mml:math id="M360" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and is slightly lower than the previous results of NO<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
transmission efficiency on Teflon filters (Aldener et al., 2006; Schuster et
al., 2009). The filter transmission efficiency of NO<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> on used filters is
determined to be 5 % less than on the clean filter. For the field
calculation of the NO<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations, the filter transmission
efficiency is then estimated to be 72 <inline-formula><mml:math id="M364" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 %. For the determination
of the N<inline-formula><mml:math id="M365" 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="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> filter transmission efficiency, the mixing ratio of
NO<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is modulated to achieve a high ratio of
N<inline-formula><mml:math id="M369" 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="M370" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (&gt; 100) before being fed into the
instrument. The transmission efficiency of the N<inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> on the clean
filter is determined to be 96 %, which is consistent with the previous
studies on the filter loss of N<inline-formula><mml:math id="M374" 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="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Fuchs et al., 2008; Aldener et
al., 2006; Schuster et al., 2009). The filter transmission efficiency of
N<inline-formula><mml:math id="M376" 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="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> on a used filter is determined to be 6 % smaller than on
the clean filter. Therefore, the filter transmission factor for
N<inline-formula><mml:math id="M378" 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="M379" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is estimated to be 93 <inline-formula><mml:math id="M380" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 %.</p>
</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <title>Wall loss of the inlet tube, the preheating tube, and the
detection cell</title>
      <p>To determine the wall loss reactivity of NO<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, the heated detection cell
is used as a flow tube. Gas samples with a stable amount of N<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
are delivered by the NO<inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M385" 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="M386" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> source described above. By
stopping the sample gas flow, the observed NO<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> versus the elapsed time
determines the first-order loss rate of NO<inline-formula><mml:math id="M388" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the heated detection
cell. In this experiment, the fitted first-order uptake coefficient of
NO<inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reflects the contribution from three processes: (1) the wall loss of
NO<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the detection cell, (2) the change of the effective cavity length
due to the adding of the purge flows, and (3) the production of NO<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from
the reaction of NO<inline-formula><mml:math id="M392" 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="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The NO<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration determined
in the running sample gas flow is used to determine the change of
<inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> corresponding to the elapsed time after stopping the sample
flow (in the way it is used to quantify the <inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Sect. 3.3). A
time series of <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is determined with high time resolution data
acquisition (0.5 s) that is then used to quantify the mixing ratio of
NO<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the corresponding time intervals. Figure 7 shows the decay of the
observed NO<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations on a logarithmic scale versus the elapsed
time. The fitted first-order decay rate is 0.13 <inline-formula><mml:math id="M400" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02 s<inline-formula><mml:math id="M401" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with
a good correlation coefficient (<inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.991</mml:mn></mml:mrow></mml:math></inline-formula>). Finally, the fitted
first-order decay rate is corrected by the chemistry of reactions R1 and R4
with a box model constrained to observed NO<inline-formula><mml:math id="M403" 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="M404" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The NO<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
wall reactivity of the heated detection cell surface is determined to
0.16 <inline-formula><mml:math id="M406" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02 s<inline-formula><mml:math id="M407" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which is similar to previous results of
0.1–0.3 s<inline-formula><mml:math id="M408" 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> (Brown et al., 2002; Crowley et al., 2010; Kennedy et al.,
2011; H. C. Wang et al., 2015).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>The determined concentration decay of the NO<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radical in the
heated detection cell caused by the wall loss. The red crosses denote the
observation results, and the black line depicts the corresponding exponential
fit. The net wall loss reactivity of NO<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is corrected to be
0.16 <inline-formula><mml:math id="M411" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02 s<inline-formula><mml:math id="M412" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with a box model simulation of the chemical
reactions occurring in the detection cell.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017-f07.pdf"/>

          </fig>

      <p>The surface materials are the same as that of the inlet tube, the preheating
tube, and the detection cell. Therefore, the wall loss reactivity of
NO<inline-formula><mml:math id="M413" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the detection cell will be applicable for the inlet and the
preheating tubes. As shown in Fig. 1a, our instrument has only one mixing
point at the setup of the NO titration module. In addition, there is no
blockage of the main sample gas flow of the PFA tee-piece. Therefore, we
think the influence of the mixing point can be neglected. As reported by
Kennedy et al. (2011), the NO<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> wall loss reactivity in the cold PFA
piping (inlet) is the same as in the heated ones with a value of 0.27 s<inline-formula><mml:math id="M415" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Nevertheless, we noticed that Crowley et al. (2010) reported that
the NO<inline-formula><mml:math id="M416" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> wall loss reactivity of the cold PFA tube could be a factor of
2 larger than that of the heated tube. We assume our NO<inline-formula><mml:math id="M417" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> wall loss
reactivity for the cold PFA tube to be between 0.16 and 0.32 s<inline-formula><mml:math id="M418" 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 average NO<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> wall loss reactivity for the cold PFA
tube is estimated to be 0.24 s<inline-formula><mml:math id="M420" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with an uncertainty of 0.08 s<inline-formula><mml:math id="M421" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>The transmission efficiency of NO<inline-formula><mml:math id="M422" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M423" 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="M424" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> for the
sample module setup for the developed instrument.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Gases</oasis:entry>  
         <oasis:entry colname="col2">Filter</oasis:entry>  
         <oasis:entry colname="col3">Inlet tube (0.7 s)</oasis:entry>  
         <oasis:entry colname="col4">Preheating tube (0.14 s)</oasis:entry>  
         <oasis:entry colname="col5">Cavity (0.46 s)</oasis:entry>  
         <oasis:entry colname="col6">Total</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M431" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">72 <inline-formula><mml:math id="M432" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 %<inline-formula><mml:math id="M433" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">84 <inline-formula><mml:math id="M434" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4 % (<inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">98 % (<inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">93 % (<inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">55 <inline-formula><mml:math id="M441" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">N<inline-formula><mml:math id="M442" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M443" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">93 <inline-formula><mml:math id="M444" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 %<inline-formula><mml:math id="M445" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">99 % (<inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.019</mml:mn></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">99 <inline-formula><mml:math id="M448" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 %<inline-formula><mml:math id="M449" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">93 % (<inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">85 <inline-formula><mml:math id="M452" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math id="M425" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Filter aging contributed an uncertainty of 3 %;
<inline-formula><mml:math id="M426" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> the uncertainty of the NO<inline-formula><mml:math id="M427" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> wall loss reactivity in the
cold inlet tube caused an uncertainty of 4 %; <inline-formula><mml:math id="M428" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> the location
of the N<inline-formula><mml:math id="M429" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M430" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> dissociation in the preheating tube had an uncertainty
of 1 %.</p></table-wrap-foot></table-wrap>

      <p>To determine the wall loss reactivity of the N<inline-formula><mml:math id="M453" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> in the PFA inlet
tube, PFA tubes (Entegris, I.D. <inline-formula><mml:math id="M455" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.35 mm) with different lengths (0.5, 3.5, 5.5, 7.5, and 10.5 m) are inserted between the outlet of the
NO<inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M458" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> source and the inlet of the preheating tube. The
apparent first-order loss rate of N<inline-formula><mml:math id="M459" 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="M460" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (0.015 s<inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is deduced
by an exponential fit of the observed N<inline-formula><mml:math id="M462" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M463" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> concentrations to the
varied residence times with different tube lengths (Fig. 8). The actual
situation is more complicated in these PFA tubes due to the reaction of R1,
R4a and b, and the wall losses of both NO<inline-formula><mml:math id="M464" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M465" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M466" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>.
The wall loss reactivity of N<inline-formula><mml:math id="M467" 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="M468" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is retrieved from the observed
apparent decay rate with a box model. In this model, initial NO<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
O<inline-formula><mml:math id="M470" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are the observed values of the NO<inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M472" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> source. The
retrieved N<inline-formula><mml:math id="M474" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M475" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> wall loss reactivity is 0.019 s<inline-formula><mml:math id="M476" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M477" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.002 s<inline-formula><mml:math id="M478" 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>. Moreover, the variation of ambient mixing ratio of NO<inline-formula><mml:math id="M479" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
will change the N<inline-formula><mml:math id="M480" 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="M481" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>-dissociated location in the preheating tube,
which would also influence the transmission efficiency of N<inline-formula><mml:math id="M482" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M483" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. By
assuming the N<inline-formula><mml:math id="M484" 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="M485" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is totally dissociated in the middle of the
preheating tube, we determine the transmission efficiency of N<inline-formula><mml:math id="M486" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
in the preheating tube to be 99 <inline-formula><mml:math id="M488" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 %.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>The determined concentrations of N<inline-formula><mml:math id="M489" 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="M490" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> versus the residence
time of the sample gas flows in the inlet tube. The change of the residence
time is achieved by changing the inlet tubes having different lengths. The red
crosses denote the observation results, and the black line depicts the
corresponding exponential fit. The net wall loss reactivity of N<inline-formula><mml:math id="M491" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M492" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
is corrected to be 0.019 <inline-formula><mml:math id="M493" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.002 s<inline-formula><mml:math id="M494" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with a box model simulation
of the chemical reactions occurring in the inlet tubes.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017-f08.pdf"/>

          </fig>

      <p>The total transmission efficiencies as well as the detailed contributions due
to the corresponding filter and wall loss for NO<inline-formula><mml:math id="M495" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M496" 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="M497" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> are summarized in Table 1
for the experimental setup during field applications. The total estimated
transmission efficiency of NO<inline-formula><mml:math id="M498" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and N<inline-formula><mml:math id="M500" 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="M501" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
(<inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is determined to be 55 <inline-formula><mml:math id="M503" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 and
85 <inline-formula><mml:math id="M504" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 %, respectively. <inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is dominated by the
loss on the filter and the inlet tube, and the difference of
<inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> between cold cavity and heated cavity is negligible,
while the <inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is dominated by the loss on the filter and
the detection cell.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Uncertainty and the limit of detection</title>
      <p>As outlined above, the uncertainty of the NO<inline-formula><mml:math id="M508" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> absorption is estimated
to be 10 % (298 K) and 13 % (353 K), respectively; the uncertainty of
the effective cavity length calculation is about 13 %, mainly due to the
fast NO<inline-formula><mml:math id="M509" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> wall loss; the uncertainty of the mirror reflectivity
determination is about 5 %, controlled by the error of the scattering
cross section of N<inline-formula><mml:math id="M510" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>; and the uncertainty of the <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is about
6 %, according to the Gaussian error propagation, and the associated
uncertainty is estimated to be 19 % for the ambient NO<inline-formula><mml:math id="M512" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurement.
The uncertainty of the transmission efficiency in the heated cavity is
estimated at about 4 and 11 % when N<inline-formula><mml:math id="M513" 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="M514" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> or NO<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> dominate
the concentrations of NO<inline-formula><mml:math id="M516" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M517" 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="M518" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, respectively, according to
the Gaussian error propagation, and the associated uncertainty for the ambient
NO<inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M520" 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="M521" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> measurement is estimated to be 19–22 %.
The uncertainties of the observed mixing ratios of NO<inline-formula><mml:math id="M522" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
NO<inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M524" 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="M525" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> are summarized in Table 2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>The instrument performance with different integration times.
<bold>(a)</bold> Allan deviation plots for measurements of NO<inline-formula><mml:math id="M526" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with 1 s
integration time. Panels <bold>(b)</bold> and <bold>(c)</bold> show the histogram
analyses of the measurements of NO<inline-formula><mml:math id="M527" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with 1 and 30 s integration time,
respectively.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017-f09.pdf"/>

        </fig>

      <p>For the ambient N<inline-formula><mml:math id="M528" 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="M529" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> measurement, two parallel cavities are required
with one cold cavity measures NO<inline-formula><mml:math id="M530" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and another heated cavity measured
NO<inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M532" 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="M533" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> like previous studies (Brown et al., 2003b;
Langridge et al., 2008; Crowley et al., 2010). Here we estimated the
uncertainty of N<inline-formula><mml:math id="M534" 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="M535" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> by following the expression proposed by
Dubé et al. (2006).

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M536" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="italic">δ</mml:mi><mml:mfenced open="(" close=")"><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">SUM</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">SUM</mml:mi><mml:msup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mfenced close=")" open="("><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mfenced><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">SUM</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mfenced open="(" close=")"><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            In Eq. (3), the <inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> represents the
uncertainty of N<inline-formula><mml:math id="M538" 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="M539" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> measurements, SUM is the measured
NO<inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M541" 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="M542" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> in the heated cavity, NO<inline-formula><mml:math id="M543" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is the ambient
mixing ratio of NO<inline-formula><mml:math id="M544" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> derived by the cold cavity, <inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> denote the
uncertainty of <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">SUM</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> denotes the uncertainty of NO<inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M551" 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="M552" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
measurement in the heated cavity. As reported by Osthoff et al. (2007) and
Kennedy et al. (2011), the uncertainty of N<inline-formula><mml:math id="M553" 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="M554" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
increases with the
decreasing of the ratio of N<inline-formula><mml:math id="M555" 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="M556" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M557" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>; when
N<inline-formula><mml:math id="M558" 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="M559" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M560" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is larger than 1 in the field measurement, the
uncertainty of N<inline-formula><mml:math id="M561" 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="M562" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is in the range of 22–36 %.</p>
      <p>The best integration time is determined through an Allan variance method
(Allan, 1966; Werle et al., 1993). Figure 9a depicts the Allan variance
analysis of the 12 000 zero measurement spectrums in the laboratory with
1 s integration time. According to the Allan deviation plot, increasing the
integration time could improve the sensitivity of our instrument when the
averaging time is smaller than 30 s. When the average time interval ranges
from 30 to 100 s, the best detection capability is achieved; and when the
average time interval is larger than 100 s, increasing the average time does
not improve the sensitivity further and actually decreases it, which is most
likely due to the drift of the light source. The limit of detection can be
estimated by the standard deviation calculation from zero air measurements
with the best integration time estimated above. Figure 9b and c show the
histogram analysis of 12 000 zero measurement results for a 1 and 30 s
average, respectively. The limit of detection is 2.4 pptv (1<inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for
the 1 s data and improved to be 1.6 pptv (1<inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for the 30 s data.
Due to the smaller cross section of NO<inline-formula><mml:math id="M565" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> that was applied in the
measurement of N<inline-formula><mml:math id="M566" 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="M567" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> at 353K, the LOD is estimated 2.7 pptv
(1<inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> with 1 s integral time. Referring to the observed mixing
ratios of NO<inline-formula><mml:math id="M569" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M570" 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="M571" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> in the typical regions (H. C. Wang et
al., 2015), the developed instrument has the ability to measure NO<inline-formula><mml:math id="M572" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
N<inline-formula><mml:math id="M573" 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="M574" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> in the field. The LOD and uncertainty of our instrument is
further compared with the existing field measurement techniques for NO<inline-formula><mml:math id="M575" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
and N<inline-formula><mml:math id="M576" 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="M577" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Table 3). For the NO<inline-formula><mml:math id="M578" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurement, CRDS, CEAS, and
LIF are available with LOD values of 0.2-10 pptv and uncertainties lower
than 25 %. For the N<inline-formula><mml:math id="M579" 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="M580" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> measurement, the three methods
mentioned above and CIMS are available with LOD values of 0.5–12 pptv and
uncertainties lower than 40 %. Our instrument compares well with the
available field instruments for the detection of NO<inline-formula><mml:math id="M581" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M582" 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="M583" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>.
Nevertheless, we have so far only probed the field sites with the presence of
high concentrations of NO<inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M585" 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="M586" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, and, therefore, the NO<inline-formula><mml:math id="M587" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
measurement mode is not used in the field studies.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Details of the uncertainties of the measurement of ambient NO<inline-formula><mml:math id="M588" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
and NO<inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M590" 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="M591" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Parameters</oasis:entry>  
         <oasis:entry colname="col2">Uncertainty</oasis:entry>  
         <oasis:entry colname="col3">Uncertainty</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(NO<inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">(NO<inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M594" 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="M595" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Cross section of NO<inline-formula><mml:math id="M596" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">13 %</oasis:entry>  
         <oasis:entry colname="col3">10 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mirror reflectivity</oasis:entry>  
         <oasis:entry colname="col2">5 %</oasis:entry>  
         <oasis:entry colname="col3">5 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Transmission efficiency</oasis:entry>  
         <oasis:entry colname="col2">6 %</oasis:entry>  
         <oasis:entry colname="col3">4–11 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Effective cavity length</oasis:entry>  
         <oasis:entry colname="col2">13 %</oasis:entry>  
         <oasis:entry colname="col3">13 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Total</oasis:entry>  
         <oasis:entry colname="col2">19 %</oasis:entry>  
         <oasis:entry colname="col3">19–22 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Limits of detection (LODs) and uncertainty of the existing field-deployable instruments of NO<inline-formula><mml:math id="M597" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M598" 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="M599" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Reference</oasis:entry>  
         <oasis:entry colname="col2">Method</oasis:entry>  
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center" colsep="1">NO<inline-formula><mml:math id="M600" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">N<inline-formula><mml:math id="M601" 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="M602" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">LOD</oasis:entry>  
         <oasis:entry colname="col4">Uncertainty</oasis:entry>  
         <oasis:entry colname="col5">LOD</oasis:entry>  
         <oasis:entry colname="col6">Uncertainty</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">This work</oasis:entry>  
         <oasis:entry colname="col2">CEAS</oasis:entry>  
         <oasis:entry colname="col3">2.4 pptv (1 s)</oasis:entry>  
         <oasis:entry colname="col4">19 %</oasis:entry>  
         <oasis:entry colname="col5">2.7 pptv (1 s)</oasis:entry>  
         <oasis:entry colname="col6">22–36 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kennedy et al. (2011)</oasis:entry>  
         <oasis:entry colname="col2">CEAS</oasis:entry>  
         <oasis:entry colname="col3">1.1 pptv (1 s)</oasis:entry>  
         <oasis:entry colname="col4">11 %</oasis:entry>  
         <oasis:entry colname="col5">2.4 pptv (1 s)</oasis:entry>  
         <oasis:entry colname="col6">14 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Bitter et al. (2005)</oasis:entry>  
         <oasis:entry colname="col2">CEAS</oasis:entry>  
         <oasis:entry colname="col3">1 pptv (100 s)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Schuster et al. (2009)</oasis:entry>  
         <oasis:entry colname="col2">CRDS/CEAS</oasis:entry>  
         <oasis:entry colname="col3">2 pptv (5 s)</oasis:entry>  
         <oasis:entry colname="col4">14 %</oasis:entry>  
         <oasis:entry colname="col5">2 pptv (5 s)</oasis:entry>  
         <oasis:entry colname="col6">13 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Nakayama et al. (2008)</oasis:entry>  
         <oasis:entry colname="col2">CRDS</oasis:entry>  
         <oasis:entry colname="col3">1.5 pptv (100 s)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Dubé et al. (2006)</oasis:entry>  
         <oasis:entry colname="col2">CRDS</oasis:entry>  
         <oasis:entry colname="col3">0.2 pptv (1 s)</oasis:entry>  
         <oasis:entry colname="col4">25 %</oasis:entry>  
         <oasis:entry colname="col5">0.5pptv (1 s)</oasis:entry>  
         <oasis:entry colname="col6">20–40 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ayers et al. (2005)</oasis:entry>  
         <oasis:entry colname="col2">CRDS</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">2 pptv (25 s)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">D. Wang et al. (2015)</oasis:entry>  
         <oasis:entry colname="col2">CRDS</oasis:entry>  
         <oasis:entry colname="col3">3.2 pptv (10 s)</oasis:entry>  
         <oasis:entry colname="col4">8 %</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Matsumoto et al. (2005)</oasis:entry>  
         <oasis:entry colname="col2">LIF</oasis:entry>  
         <oasis:entry colname="col3">10 pptv (600 s)</oasis:entry>  
         <oasis:entry colname="col4">17 %</oasis:entry>  
         <oasis:entry colname="col5">12 pptv (600 s)</oasis:entry>  
         <oasis:entry colname="col6">17 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Slusher et al. (2004)</oasis:entry>  
         <oasis:entry colname="col2">CIMS</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">12 pptv (1 s)</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kercher et al. (2009)</oasis:entry>  
         <oasis:entry colname="col2">CIMS</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">2.7 pptv (60 s)</oasis:entry>  
         <oasis:entry colname="col6">20 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Wang et al. (2016)</oasis:entry>  
         <oasis:entry colname="col2">CIMS</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">4 pptv (60 s)</oasis:entry>  
         <oasis:entry colname="col6">20 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Two example time series of the observed mixing ratios of
NO<inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M604" 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="M605" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> measured during the UCAS winter campaign 2016 and
the PKU(CP) summer campaign. The grey box indicates the time span for
night-time. Panel <bold>(a)</bold> depicts the map of the two sites, indicating
the UCAS site and the PKU(CP) site, that are about 60 and 40 km away from the
centre of Beijing, respectively. Panel <bold>(b)</bold> shows a typical
development of the observed mixing ratio of NO<inline-formula><mml:math id="M606" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M607" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M608" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> from
clean to polluted air masses at UCAS. Panel <bold>(c)</bold> shows the observed
mixing ratio of NO<inline-formula><mml:math id="M609" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M610" 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="M611" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> during a typical pollution episode
at PKU(CP).</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1465/2017/amt-10-1465-2017-f10.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5">
  <title>Performance in field campaigns</title>
      <p>The instrument has been deployed in two comprehensive field campaigns in
Beijing in 2016. The first campaign took place at the campus of the
University of Chinese Academy of Sciences, and the data shown in Fig. 10b are
from 27 February to 4 March, while the second campaign took place at the
Peking University Changping, PKU(CP), campus and the data shown in Fig. 10c
are from 23 to 29 May. As shown in Fig. 10a, both sites are located in the
northern rural areas in Beijing, about 60 and 40 km from the centre of
Beijing, respectively. According to our current understanding of the
NO<inline-formula><mml:math id="M612" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>–N<inline-formula><mml:math id="M613" 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="M614" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> chemistry, rural areas lack fresh NO emissions, and
the air masses transported from urban areas are well aged and featured with
high NO<inline-formula><mml:math id="M615" 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="M616" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and low NO, so that the influence of the
NO<inline-formula><mml:math id="M617" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>–N<inline-formula><mml:math id="M618" 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="M619" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> chemistry can be maximized. We therefore expected these two
sites to be ideal locations to probe the NO<inline-formula><mml:math id="M620" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>–N<inline-formula><mml:math id="M621" 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="M622" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> chemistry
in Beijing.</p>
      <p>During the UCAS campaign, our instrument was deployed at a roof lab, and the
sample inlet was about 15 m above the ground. The measurement site was close
to the mountainous area in Beijing and also was influenced by nearby traffic
emissions. When the northerly wind appeared, we sampled clean air masses
entrained with local traffic and residential emissions; when the southerly
wind appeared, we could then capture the outflow from Beijing. In this
campaign, the average night-time temperature and NO<inline-formula><mml:math id="M623" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio is
<inline-formula><mml:math id="M624" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.3 <inline-formula><mml:math id="M625" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 15.5 ppbv, respectively. The calculated ratio of
N<inline-formula><mml:math id="M626" 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="M627" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M628" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> based on the thermodynamic equilibrium was found to
be larger than 300; therefore, the mixing ratio of NO<inline-formula><mml:math id="M629" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was ignorable
compared with N<inline-formula><mml:math id="M630" 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="M631" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. Therefore, the amount of the detected
NO<inline-formula><mml:math id="M632" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M633" 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="M634" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> represented that of N<inline-formula><mml:math id="M635" 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="M636" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> for this
campaign. Figure 10b shows the mixing ratio of NO<inline-formula><mml:math id="M637" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M638" 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="M639" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
during a typical time when such air mass changes from clean to polluted
conditions. High mixing ratios of NO<inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M641" 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="M642" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> were observed
near the ground surface at the UCAS site. During the pollution episodes, the
maximum NO<inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M644" 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="M645" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> reached more than 1 ppbv on the night of
2–3 March 2016. A rapid variation of NO<inline-formula><mml:math id="M646" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M647" 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="M648" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> was also
observed, which may have been due to local traffic emissions during stagnant
conditions. In all these days, the observed NO<inline-formula><mml:math id="M649" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M650" 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="M651" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
continuously accumulated during a few hours after sunset, reached its maximum
before midnight, and then gradually decreased to zero before sunrise. The
decrease of NO<inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M653" 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="M654" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> at night in this location may be
related to the typical running style of the heavy-duty vehicles (HDVs). It is
known that HDVs would emit large amounts of fresh NO. The emitted NO is
titrated with the O<inline-formula><mml:math id="M655" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M656" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and then reduces the accumulation of
N<inline-formula><mml:math id="M657" 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="M658" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> or enhances the loss of N<inline-formula><mml:math id="M659" 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="M660" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> during the time scale
of thermal dissociation (0.1–20 min from summer to winter time). Typically,
more heavy-duty cars appear on the nearby street after 22:00 CST (China Standard Time, UTC <inline-formula><mml:math id="M661" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 8 h),
since the ban of HDVs entering downtown Beijing is lifted after 22:00 CST.
The NO<inline-formula><mml:math id="M662" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M663" 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="M664" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> measurement results of the PKU(CP) summer
campaign are presented in Fig. 10c. During the summer campaign, the
instrument was set up on the fifth floor of the main building at the PKU(CP)
campus. The inlet was also about 15 m above ground. The average night-time
temperature and NO<inline-formula><mml:math id="M665" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio were 10.0 <inline-formula><mml:math id="M666" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 17.5 ppbv,
respectively. High-O<inline-formula><mml:math id="M667" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> events frequently occurred in this season compared
to that of winter. Together with the atmospheric processes with high-NO<inline-formula><mml:math id="M668" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
conditions, the calculated ratio of N<inline-formula><mml:math id="M669" 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="M670" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M671" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> based on the
thermodynamic equilibrium was estimated to be larger than 20, and the amount
of NO<inline-formula><mml:math id="M672" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M673" 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="M674" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> also represented that of N<inline-formula><mml:math id="M675" 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="M676" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> mostly at
the PKU(CP) site.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p>A new portable CEAS instrument was developed for the ambient measurement of
NO<inline-formula><mml:math id="M677" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M678" 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="M679" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> incorporating two unique features:
<?xmltex \hack{\newpage}?></p>
      <p><list list-type="order">
          <list-item>
            <p>Novel non-adjustable mechanically aligned mirror mounts were designed and
tested successfully. The new design offered a fast setup of the instrument
in the field and proved to be stably operable by checking the mirror
reflectivity.</p>
          </list-item>
          <list-item>
            <p>An additional chemical titration module was tested by adding NO into the
sample flow and proved to be very helpful for the ambient spectral analysis,
which enhanced the fitting precision by avoiding the complicated fitting of
the water vapour absorption.</p>
          </list-item>
        </list>The total transmission efficiencies of NO<inline-formula><mml:math id="M680" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M681" 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="M682" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> were
determined to be 55 <inline-formula><mml:math id="M683" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 and 85 <inline-formula><mml:math id="M684" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 %, respectively. The
total uncertainty of the measurement of NO<inline-formula><mml:math id="M685" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M686" 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="M687" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
was determined to be 19 and 22–36 %, respectively. The best
limit of detection was quantified to be 2.4 pptv (1<inline-formula><mml:math id="M688" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and 2.7 pptv
(1<inline-formula><mml:math id="M689" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, with a 1 s integration time for NO<inline-formula><mml:math id="M690" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M691" 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="M692" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>,
respectively. Compared to the other field instruments used worldwide, the
new instrument was capable of measuring both NO<inline-formula><mml:math id="M693" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M694" 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="M695" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>,
since only one channel was established at the moment. The instrument was
deployed successfully in the NO<inline-formula><mml:math id="M696" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M697" 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="M698" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> measurement in two
comprehensive field campaigns conducted in the northern rural areas of
Beijing in 2016, where high ratios of N<inline-formula><mml:math id="M699" 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="M700" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M701" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were present
due to the presence of high NO<inline-formula><mml:math id="M702" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. In these two campaigns, high mixing
ratios of near-surface NO<inline-formula><mml:math id="M703" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M704" 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="M705" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (mostly N<inline-formula><mml:math id="M706" 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="M707" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> up
to 1 ppbv were detected. The observed high NO<inline-formula><mml:math id="M708" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> N<inline-formula><mml:math id="M709" 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="M710" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations in the summer campaign indicated that high concentrations of
NO<inline-formula><mml:math id="M711" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, up to 50 pptv, could be present at night. Since significant
night-time OH concentrations (up to <inline-formula><mml:math id="M712" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M713" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were
also found for these environments (e.g. Lu et al., 2014; Tan et al., 2017),
the contribution of NO<inline-formula><mml:math id="M714" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>–N<inline-formula><mml:math id="M715" 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="M716" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and HO<inline-formula><mml:math id="M717" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> chemistry toward
the night-time oxidation capacity in Beijing is worthy of future
exploration.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p>The datasets used in this study are available from the
corresponding author upon request (k.lu@pku.edu.cn).</p>
  </notes><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p>The work was supported by the National Natural Science Foundation of China
(grants no. 41375124, 21522701, 91544225, and 41421064) and Strategic Priority
Research Program of the Chinese Academy of Sciences (grant no. XDB05010500).
The authors gratefully acknowledge the discussions and suggestions from
Steven Brown, Kyung-Eun Min, Bin Ouyang, Ravi Varma, Hendrik Fuchs, and
Zhiguo Wu. We thank the teams of the UCAS (organized by Yuanhang Zhang) and
Changping campaigns (organized by Min Hu and Mattias Hallquist).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: G. Phillips<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Aldener, M., Brown, S. S., Stark, H., Williams, E. J., Lerner, B. M., Kuster,
W. C., Goldan, P. D., Quinn, P. K., Bates, T. S., Fehsenfeld, F. C., and
Ravishankara, A. R.: Reactivity and loss mechanisms of NO<inline-formula><mml:math id="M718" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
N<inline-formula><mml:math id="M719" 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="M720" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> in a polluted marine environment: Results from in situ
measurements during New England Air Quality Study 2002, J. Geophys.
Res.-Atmos., 111, D23S73, <ext-link xlink:href="http://dx.doi.org/10.1029/2006jd007252" ext-link-type="DOI">10.1029/2006jd007252</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>
Allan, D. W.: Statistics of Atomic Frequency Standards, Pr. Inst. Electr.
Elect., 54, 221–230, 1966.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Axson, J. L., Washenfelder, R. A., Kahan, T. F., Young, C. J., Vaida, V., and
Brown, S. S.: Absolute ozone absorption cross section in the Huggins Chappuis
minimum (350–470 nm) at 296 K, Atmos. Chem. Phys., 11, 11581–11590,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-11-11581-2011" ext-link-type="DOI">10.5194/acp-11-11581-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>
Ayers, J. D., Apodaca, R. L., Simpson, W. R., and Baer, D. S.: Off-axis
cavity ring down spectroscopy: application to atmospheric nitrate radical
detection, Appl. Optics, 44, 7239–7242, 2005.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Benton, A. K., Langridge, J. M., Ball, S. M., Bloss, W. J., Dall'Osto, M.,
Nemitz, E., Harrison, R. M., and Jones, R. L.: Night-time chemistry above
London: measurements of NO<inline-formula><mml:math id="M721" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M722" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the BT Tower,
Atmos. Chem. Phys., 10, 9781–9795, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-10-9781-2010" ext-link-type="DOI">10.5194/acp-10-9781-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Bitter, M., Ball, S. M., Povey, I. M., and Jones, R. L.: A broadband cavity
ringdown spectrometer for in situ measurements of atmospheric trace gases,
Atmos. Chem. Phys., 5, 2547–2560, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-5-2547-2005" ext-link-type="DOI">10.5194/acp-5-2547-2005</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>
Brown, S. S. and Stutz, J.: Nighttime radical observations and chemistry,
Chem. Soc. Rev., 41, 6405–6447, 2012.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Brown, S. S., Stark, H., Ciciora, S. J., and Ravishankara, A. R.: In-situ
measurement of atmospheric NO<inline-formula><mml:math id="M723" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M724" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> via cavity
ring-down spectroscopy, Geophys. Res. Lett., 28, 3227–3230, 2001.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Brown, S. S., Stark, H., Ciciora, S. J., McLaughlin, R. J., and Ravishankara,
A. R.: Simultaneous in situ detection of atmospheric NO<inline-formula><mml:math id="M725" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math id="M726" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> via cavity ring-down spectroscopy, Rev. Sci. Instrum., 73,
3291–3301, 2002.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Brown, S. S., Stark, H., and Ravishankara, A. R.: Applicability of the steady
state approximation to the interpretation of atmospheric observations of
NO<inline-formula><mml:math id="M727" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M728" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, J. Geophys. Res.-Atmos., 108, 4539,
<ext-link xlink:href="http://dx.doi.org/10.1029/2003jd003407" ext-link-type="DOI">10.1029/2003jd003407</ext-link>, 2003a.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Brown, S. S., Stark, H., Ryerson, T. B., Williams, E. J., Nicks, D. K.,
Trainer, M., Fehsenfeld, F. C., and Ravishankara, A. R.: Nitrogen oxides in
the nocturnal boundary layer: Simultaneous in situ measurements of NO<inline-formula><mml:math id="M729" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
<inline-formula><mml:math id="M730" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math id="M731" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO, and O<inline-formula><mml:math id="M732" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, J. Geophys. Res.-Atmos., 108,
4299, <ext-link xlink:href="http://dx.doi.org/10.1029/2002jd002917" ext-link-type="DOI">10.1029/2002jd002917</ext-link>, 2003b.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>
Brown, S. S., Ryerson, T. B., Wollny, A. G., Brock, C. A., Peltier, R.,
Sullivan, A. P., Weber, R. J., Dubé, W. P., Trainer, M., Meagher, J. F.,
Fehsenfeld, F. C., and Ravishankara, A. R.: Variability in nocturnal nitrogen
oxide processing and its role in regional air quality, Science, 311, 67–70,
2006.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>
Brown, S. S., Dubé, W. P., Tham, Y. J., Zha, Q. Z., Xue, L. K., Poon, S.,
Wang, Z., Blake, D. R., Tsui, W., Parrish, D. D., and Wang, T.: Nighttime
chemistry at a high altitude site above Hong Kong, J. Geophys. Res.-Atmos.,
121, 2457–2475, 2016.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Chang, W. L., Bhave, P. V., Brown, S. S., Riemer, N., Stutz, J., and Dabdub,
D.: Heterogeneous Atmospheric Chemistry, Ambient Measurements, and Model
Calculations of <inline-formula><mml:math id="M733" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>: A Review, Aerosol Sci. Tech., 45,
665–695, 2011.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Chen, J. and Venables, D. S.: A broadband optical cavity spectrometer for
measuring weak near-ultraviolet absorption spectra of gases, Atmos. Meas.
Tech., 4, 425–436, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-4-425-2011" ext-link-type="DOI">10.5194/amt-4-425-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Crowley, J. N., Schuster, G., Pouvesle, N., Parchatka, U., Fischer, H., Bonn,
B., Bingemer, H., and Lelieveld, J.: Nocturnal nitrogen oxides at a rural
mountain-site in south-western Germany, Atmos. Chem. Phys., 10, 2795–2812,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-10-2795-2010" ext-link-type="DOI">10.5194/acp-10-2795-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Dorn, H.-P., Apodaca, R. L., Ball, S. M., Brauers, T., Brown, S. S., Crowley,
J. N., Dubé, W. P., Fuchs, H., Häseler, R., Heitmann, U., Jones, R.
L., Kiendler-Scharr, A., Labazan, I., Langridge, J. M., Meinen, J., Mentel,
T. F., Platt, U., Pöhler, D., Rohrer, F., Ruth, A. A., Schlosser, E.,
Schuster, G., Shillings, A. J. L., Simpson, W. R., Thieser, J., Tillmann, R.,
Varma, R., Venables, D. S., and Wahner, A.: Intercomparison of NO<inline-formula><mml:math id="M734" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
radical detection instruments in the atmosphere simulation chamber SAPHIR,
Atmos. Meas. Tech., 6, 1111–1140, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-6-1111-2013" ext-link-type="DOI">10.5194/amt-6-1111-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Dubé, W. P., Brown, S. S., Osthoff, H. D., Nunley, M. R., Ciciora, S. J.,
Paris, M. W., McLaughlin, R. J., and Ravishankara, A. R.: Aircraft instrument
for simultaneous, in situ measurement of NO<inline-formula><mml:math id="M735" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M736" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> via
pulsed cavity ring-down spectroscopy, Rev. Sci. Instrum., 77, 034101,
<ext-link xlink:href="http://dx.doi.org/10.1063/1.2176058" ext-link-type="DOI">10.1063/1.2176058</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>
Fiedler, S. E., Hese, A., and Ruth, A. A.: Incoherent broad-band
cavity-enhanced absorption spectroscopy, Chem. Phys. Lett., 371, 284–294,
2003.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>
Fortner, E. C., Zhao, J., and Zhang, R.: Development of Ion Drift-Chemical
Ionization Mass Spectrometry, Anal. Chem., 76, 5436–5440, 2004.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Fry, J. L., Kiendler-Scharr, A., Rollins, A. W., Wooldridge, P. J., Brown, S.
S., Fuchs, H., Dubé, W., Mensah, A., dal Maso, M., Tillmann, R., Dorn,
H.-P., Brauers, T., and Cohen, R. C.: Organic nitrate and secondary organic
aerosol yield from NO<inline-formula><mml:math id="M737" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> oxidation of <inline-formula><mml:math id="M738" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene evaluated using a
gas-phase kinetics/aerosol partitioning model, Atmos. Chem. Phys., 9,
1431–1449, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-9-1431-2009" ext-link-type="DOI">10.5194/acp-9-1431-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Fuchs, H., Dubé, W. P., Cicioira, S. J., and Brown, S. S.: Determination
of inlet transmission and conversion efficiencies for in situ measurements of
the nocturnal nitrogen oxides, NO<inline-formula><mml:math id="M739" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M740" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M741" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, via
pulsed cavity ring-down spectroscopy, Anal. Chem., 80, 6010–6017, 2008.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Fuchs, H., Simpson, W. R., Apodaca, R. L., Brauers, T., Cohen, R. C.,
Crowley, J. N., Dorn, H.-P., Dubé, W. P., Fry, J. L., Häseler, R.,
Kajii, Y., Kiendler-Scharr, A., Labazan, I., Matsumoto, J., Mentel, T. F.,
Nakashima, Y., Rohrer, F., Rollins, A. W., Schuster, G., Tillmann, R.,
Wahner, A., Wooldridge, P. J., and Brown, S. S.: Comparison of
<inline-formula><mml:math id="M742" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios during NO<inline-formula><mml:math id="M743" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>Comp 2007 in SAPHIR, Atmos.
Meas. Tech., 5, 2763–2777, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-5-2763-2012" ext-link-type="DOI">10.5194/amt-5-2763-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Gherman, T., Venables, D. S., Vaughan, S., Orphal, J., and Ruth, A. A.:
Incoherent broadband cavity-enhanced absorption spectroscopy in the
near-ultraviolet: Application to HONO and NO<inline-formula><mml:math id="M744" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, Environ. Sci. Technol.,
42, 890–895, 2008.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>
Kahan, T. F., Washenfelder, R. A., Vaida, V., and Brown, S. S.:
Cavity-Enhanced Measurements of Hydrogen Peroxide Absorption Cross Sections
from 353 to 410 nm, J. Phys. Chem. A, 116, 5941–5947, 2012.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Kennedy, O. J., Ouyang, B., Langridge, J. M., Daniels, M. J. S., Bauguitte,
S., Freshwater, R., McLeod, M. W., Ironmonger, C., Sendall, J., Norris, O.,
Nightingale, R., Ball, S. M., and Jones, R. L.: An aircraft based three
channel broadband cavity enhanced absorption spectrometer for simultaneous
measurements of NO<inline-formula><mml:math id="M745" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, N<inline-formula><mml:math id="M746" 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="M747" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M748" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, Atmos. Meas. Tech., 4,
1759–1776, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-4-1759-2011" ext-link-type="DOI">10.5194/amt-4-1759-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Kercher, J. P., Riedel, T. P., and Thornton, J. A.: Chlorine activation by
N<inline-formula><mml:math id="M749" 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="M750" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>: simultaneous, in situ detection of ClNO<inline-formula><mml:math id="M751" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
N<inline-formula><mml:math id="M752" 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="M753" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> by chemical ionization mass spectrometry, Atmos. Meas. Tech.,
2, 193–204, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-2-193-2009" ext-link-type="DOI">10.5194/amt-2-193-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>
Langridge, J. M., Laurila, T., Watt, R. S., Jones, R. L., Kaminski, C. F.,
and Hult, J.: Cavity enhanced absorption spectroscopy of multiple trace gas
species using a supercontinuum radiation source, Opt. Express, 16,
10178–10188, 2008.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Lu, K. D., Rohrer, F., Holland, F., Fuchs, H., Brauers, T., Oebel, A., Dlugi,
R., Hu, M., Li, X., Lou, S. R., Shao, M., Zhu, T., Wahner, A., Zhang, Y. H.,
and Hofzumahaus, A.: Nighttime observation and chemistry of HO<inline-formula><mml:math id="M754" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> in the
Pearl River Delta and Beijing in summer 2006, Atmos. Chem. Phys., 14,
4979–4999, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-14-4979-2014" ext-link-type="DOI">10.5194/acp-14-4979-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Matsumoto, J., Kosugi, N., Imai, H., and Kajii, Y.: Development of a
measurement system for nitrate radical and dinitrogen pentoxide using a
thermal conversion/laser-induced fluorescence technique, Rev. Sci. Instrum.,
76, 064101, <ext-link xlink:href="http://dx.doi.org/10.1063/1.1927098" ext-link-type="DOI">10.1063/1.1927098</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Min, K.-E., Washenfelder, R. A., Dubé, W. P., Langford, A. O., Edwards,
P. M., Zarzana, K. J., Stutz, J., Lu, K., Rohrer, F., Zhang, Y., and Brown,
S. S.: A broadband cavity enhanced absorption spectrometer for aircraft
measurements of glyoxal, methylglyoxal, nitrous acid, nitrogen dioxide, and
water vapor, Atmos. Meas. Tech., 9, 423–440, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-9-423-2016" ext-link-type="DOI">10.5194/amt-9-423-2016</ext-link>,
2016.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Nakayama, T., Ide, T., Taketani, F., Kawai, M., Takahashi, K., and Matsumi,
Y.: Nighttime measurements of ambient <inline-formula><mml:math id="M755" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math id="M756" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO and
O<inline-formula><mml:math id="M757" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in a sub-urban area, Toyokawa, Japan, Atmos. Environ., 42,
1995–2006, 2008.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Orphal, J., Fellows, C. E., and Flaud, P. M.: The visible absorption spectrum
of NO<inline-formula><mml:math id="M758" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measured by high-resolution Fourier transform spectroscopy, J.
Geophys. Res.-Atmos., 108, 4077, <ext-link xlink:href="http://dx.doi.org/10.1029/2002jd002489" ext-link-type="DOI">10.1029/2002jd002489</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>Osthoff, H. D., Pilling, M. J., Ravishankara, A. R., and Brown, S. S.:
Temperature dependence of the NO<inline-formula><mml:math id="M759" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> absorption cross-section above 298 K
and determination of the equilibrium constant for NO<inline-formula><mml:math id="M760" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M761" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M762" display="inline"><mml:mo>↔</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M763" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at atmospherically
relevant conditions, Phys. Chem. Chem. Phys., 9, 5785–5793, 2007.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>
Osthoff, H. D., Roberts, J. M., Ravishankara, A. R., Williams, E. J., Lerner,
B. M., Sommariva, R., Bates, T. S., Coffman, D., Quinn, P. K., Dibb, J. E.,
Stark, H., Burkholder, J. B., Talukdar, R. K., Meagher, J., Fehsenfeld, F.
C., and Brown, S. S.: High levels of nitryl chloride in the polluted
subtropical marine boundary layer, Nat. Geosci., 1, 324–328, 2008.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Phillips, G. J., Tang, M. J., Thieser, J., Brickwedde, B., Schuster, G.,
Bohn, B., Lelieveld, J., and Crowley, J. N.: Significant concentrations of
nitryl chloride observed in rural continental Europe associated with the
influence of sea salt chloride and anthropogenic emissions, Geophys. Res.
Lett., 39, L10811, <ext-link xlink:href="http://dx.doi.org/10.1029/2012GL051912" ext-link-type="DOI">10.1029/2012GL051912</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Ravishankara, A. R. and Mauldin, R. L.: Temperature-Dependence of the
NO<inline-formula><mml:math id="M764" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> Cross-Section in the 662-Nm Region, J. Geophys. Res.-Atmos., 91,
8709–8712, 1986.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>
Richter, A., Burrows, J. P., Nuss, H., Granier, C., and Niemeier, U.:
Increase in tropospheric nitrogen dioxide over China observed from space,
Nature, 437, 129–132, 2005.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Riemer, N., Vogel, H., Vogel, B., Schell, B., Ackermann, I., Kessler, C., and
Hass, H.: Impact of the heterogeneous hydrolysis of <inline-formula><mml:math id="M765" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on
chemistry and nitrate aerosol formation in the lower troposphere under
photosmog conditions, J. Geophys. Res.-Atmos., 108, 4144,
<ext-link xlink:href="http://dx.doi.org/10.1029/2002jd002436" ext-link-type="DOI">10.1029/2002jd002436</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>
Sander, S. P.: Temperature-Dependence of the No3 Absorption-Spectrum, J.
Phys. Chem.-US, 90, 4135–4142, 1986.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Schuster, G., Labazan, I., and Crowley, J. N.: A cavity ring down/cavity
enhanced absorption device for measurement of ambient NO<inline-formula><mml:math id="M766" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math id="M767" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Atmos. Meas. Tech., 2, 1–13, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-2-1-2009" ext-link-type="DOI">10.5194/amt-2-1-2009</ext-link>,
2009.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>
Shardanand, S. and Rao, A. D. P.: Absolute Rayleigh scattering cross sections
of gases and freons of stratospheric interest in the visible and ultraviolet
regions, NASA Technical Note, Alabama, USA, 1977.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Simpson, W. R.: Continuous wave cavity ring-down spectroscopy applied to in
situ detection of dinitrogen pentoxide (N<inline-formula><mml:math id="M768" 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="M769" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>), Rev. Sci. Instrum.,
74, 3442–3452, 2003.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Slusher, D. L., Huey, L. G., Tanner, D. J., Flocke, F. M., and Roberts, J.
M.: A thermal dissociation-chemical ionization mass spectrometry (TD-CIMS)
technique for the simultaneous measurement of peroxyacyl nitrates and
dinitrogen pentoxide, J. Geophys. Res.-Atmos., 109, D19315,
<ext-link xlink:href="http://dx.doi.org/10.1029/2004jd004670" ext-link-type="DOI">10.1029/2004jd004670</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>
Sneep, M. and Ubachs, W.: Direct measurement of the Rayleigh scattering cross
section in various gases, J. Quant. Spectrosc. Ra., 92, 293–310, 2005.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>Sobanski, N., Tang, M. J., Thieser, J., Schuster, G., Pöhler, D.,
Fischer, H., Song, W., Sauvage, C., Williams, J., Fachinger, J., Berkes, F.,
Hoor, P., Platt, U., Lelieveld, J., and Crowley, J. N.: Chemical and
meteorological influences on the lifetime of NO<inline-formula><mml:math id="M770" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at a semi-rural
mountain site during PARADE, Atmos. Chem. Phys., 16, 4867–4883,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-16-4867-2016" ext-link-type="DOI">10.5194/acp-16-4867-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Tan, Z., Fuchs, H., Lu, K., Hofzumahaus, A., Bohn, B., Broch, S., Dong, H.,
Gomm, S., Häseler, R., He, L., Holland, F., Li, X., Liu, Y., Lu, S.,
Rohrer, F., Shao, M., Wang, B., Wang, M., Wu, Y., Zeng, L., Zhang, Y.,
Wahner, A., and Zhang, Y.: Radical chemistry at a rural site (Wangdu) in the
North China Plain: observation and model calculations of OH, HO<inline-formula><mml:math id="M771" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
RO<inline-formula><mml:math id="M772" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> radicals, Atmos. Chem. Phys., 17, 663–690,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-17-663-2017" ext-link-type="DOI">10.5194/acp-17-663-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>Thalman, R. and Volkamer, R.: Inherent calibration of a blue LED-CE-DOAS
instrument to measure iodine oxide, glyoxal, methyl glyoxal, nitrogen
dioxide, water vapour and aerosol extinction in open cavity mode, Atmos.
Meas. Tech., 3, 1797–1814, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-3-1797-2010" ext-link-type="DOI">10.5194/amt-3-1797-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><mixed-citation>Tham, Y. J., Wang, Z., Li, Q., Yun, H., Wang, W., Wang, X., Xue, L., Lu, K.,
Ma, N., Bohn, B., Li, X., Kecorius, S., Größ, J., Shao, M.,
Wiedensohler, A., Zhang, Y., and Wang, T.: Significant concentrations of
nitryl chloride sustained in the morning: investigations of the causes and
impacts on ozone production in a polluted region of northern China, Atmos.
Chem. Phys., 16, 14959–14977, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-16-14959-2016" ext-link-type="DOI">10.5194/acp-16-14959-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><mixed-citation>
Thornton, J. A., Kercher, J. P., Riedel, T. P., Wagner, N. L., Cozic, J.,
Holloway, J. S., Dubé, W. P., Wolfe, G. M., Quinn, P. K., Middlebrook, A.
M., Alexander, B., and Brown, S. S.: A large atomic chlorine source inferred
from mid-continental reactive nitrogen chemistry, Nature, 464, 271–274,
2010.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation>
Varma, R. M., Venables, D. S., Ruth, A. A., Heitmann, U., Schlosser, E., and
Dixneuf, S.: Long optical cavities for open-path monitoring of atmospheric
trace gases and aerosol extinction, Appl. Optics, 48, B159–B171, 2009.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Venables, D. S., Gherman, T., Orphal, J., Wenger, J. C., and Ruth, A. A.:
High sensitivity in situ monitoring of NO<inline-formula><mml:math id="M773" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in an atmospheric simulation
chamber using incoherent broadband cavity-enhanced absorption spectroscopy,
Environ. Sci. Technol., 40, 6758–6763, 2006.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>Voigt, S., Orphal, J., and Burrows, J. P.: The temperature and pressure
dependence of the absorption cross-sections of NO<inline-formula><mml:math id="M774" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the 250–800 nm
region measured by Fourier-transform spectroscopy, J. Photoch. Photobio. A,
149, 1–7, 2002.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><mixed-citation>Wang, D., Hu, R. Z., Xie, P. H., Liu, J. G., Liu, W. Q., Qin, M., Ling, L.
Y., Zeng, Y., Chen, H., Xing, X. B., Zhu, G. L., Wu, J., Duan, J., Lu, X.,
and Shen, L. L.: Diode laser cavity ring-down spectroscopy for in situ
measurement of NO<inline-formula><mml:math id="M775" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radical in ambient air, J. Quant. Spectrosc. Ra.,
166, 23–29, 2015.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><mixed-citation>Wang, H. C., Chen, J., and Lu, K. D.: Measurement of NO<inline-formula><mml:math id="M776" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math id="M777" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the Troposphere, Prog. Chem., 27, 963–976, 2015.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><mixed-citation>Wang, S. S., Shi, C. Z., Zhou, B., Zhao, H., Wang, Z. R., Yang, S. N., and
Chen, L. M.: Observation of NO<inline-formula><mml:math id="M778" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals over Shanghai, China, Atmos.
Environ., 70, 401–409, 2013.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>
Wang, T., Tham, Y. J., Xue, L. K., Li, Q. Y., Zha, Q. Z., Wang, Z., Poon, S.
C. N., Dubé, W. P., Blake, D. R., Louie, P. K. K., Luk, C. W. Y., Tsui,
W., and Brown, S. S.: Observations of nitryl chloride and modeling its source
and effect on ozone in the planetary boundary layer of southern China, J.
Geophys. Res.-Atmos., 121, 2476–2489, 2016.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>Wang, X., Wang, T., Yan, C., Tham, Y. J., Xue, L., Xu, Z., and Zha, Q.: Large
daytime signals of N<inline-formula><mml:math id="M779" 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="M780" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M781" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> inferred at 62 amu in a
TD-CIMS: chemical interference or a real atmospheric phenomenon?, Atmos.
Meas. Tech., 7, 1–12, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-7-1-2014" ext-link-type="DOI">10.5194/amt-7-1-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><mixed-citation>Wangberg, I., Etzkorn, T., Barnes, I., Platt, U., and Becker, K. H.: Absolute
determination of the temperature behavior of the NO<inline-formula><mml:math id="M782" 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="M783" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> (M) <inline-formula><mml:math id="M784" display="inline"><mml:mo>↔</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M785" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M786" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (M) equilibrium, J. Phys.
Chem. A, 101, 9694–9698, 1997.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><mixed-citation>Washenfelder, R. A., Langford, A. O., Fuchs, H., and Brown, S. S.:
Measurement of glyoxal using an incoherent broadband cavity enhanced
absorption spectrometer, Atmos. Chem. Phys., 8, 7779–7793,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-8-7779-2008" ext-link-type="DOI">10.5194/acp-8-7779-2008</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><mixed-citation>Washenfelder, R. A., Flores, J. M., Brock, C. A., Brown, S. S., and Rudich,
Y.: Broadband measurements of aerosol extinction in the ultraviolet spectral
region, Atmos. Meas. Tech., 6, 861–877, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-6-861-2013" ext-link-type="DOI">10.5194/amt-6-861-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><mixed-citation>Washenfelder, R. A., Attwood, A. R., Flores, J. M., Zarzana, K. J., Rudich,
Y., and Brown, S. S.: Broadband cavity-enhanced absorption spectroscopy in
the ultraviolet spectral region for measurements of nitrogen dioxide and
formaldehyde, Atmos. Meas. Tech., 9, 41–52, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-9-41-2016" ext-link-type="DOI">10.5194/amt-9-41-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><mixed-citation>
Wayne, R. P., Barnes, I., Biggs, P., Burrows, J. P., Canosa-Mas, C. E.,
Hjorth, J., Le Bras, G., Moortgat, G. K., Perner, D., Poulet, G., Restelli,
G., and Sidebottom, H.: The nitrate radical: Physics, chemistry, and the
atmosphere, Atmos. Environ., 25A, 1–206, 1991.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><mixed-citation>Werle, P., Mucke, R., and Slemr, F.: The Limits of Signal Averaging in
Atmospheric Trace-Gas Monitoring by Tunable Diode-Laser
Absorption-Spectroscopy (Tdlas), Appl. Phys. B-Photo., 57, 131–139, 1993.
 </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib65"><label>65</label><mixed-citation>Yokelson, R. J., Burkholder, J. B., Fox, R. W., Talukdar, R. K., and
Ravishankara, A. R.: Temperature-Dependence of the NO<inline-formula><mml:math id="M787" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
Absorption-Spectrum, J. Phys. Chem.-US, 98, 13144–13150, 1994.</mixed-citation></ref>

  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>Development of a portable cavity-enhanced absorption spectrometer for the measurement of ambient NO<sub>3</sub> and N<sub>2</sub>O<sub>5</sub>: experimental setup, lab characterizations, and field applications in a polluted urban environment</article-title-html>
<abstract-html><p class="p">A small and portable incoherent broadband cavity-enhanced absorption
spectrometer (IBBCEAS) for NO<sub>3</sub> and N<sub>2</sub>O<sub>5</sub> measurement has been
developed. The instrument features a mechanically aligned non-adjustable
optical mounting system, and the novel design of the optical mounting system
enables a fast setup and stable operation in field applications. To remove
the influence of the strong nonlinear absorption by water vapour, a dynamic
reference spectrum through NO titration is used for the spectrum analysis.
The wall loss effects of the sample system were extensively studied, and the
total transmission efficiencies were determined to be 85 and 55 % for
N<sub>2</sub>O<sub>5</sub> and NO<sub>3</sub>, respectively, for our experimental setup. The
limit of detection (LOD) was estimated to be 2.4 pptv (1<i>σ</i>) and
2.7 pptv (1<i>σ</i>) at 1 s intervals for NO<sub>3</sub> and N<sub>2</sub>O<sub>5</sub>,
respectively. The associated uncertainty of the field measurement was
estimated to be 19 % for NO<sub>3</sub> and 22–36 % for N<sub>2</sub>O<sub>5</sub>
measurements from the uncertainties of transmission efficiency, absorption
cross section, effective cavity length, and mirror reflectivity. The
instrument was successfully deployed in two comprehensive field campaigns
conducted in the winter and summer of 2016 in Beijing. Up to 1.0 ppb
NO<sub>3</sub>+N<sub>2</sub>O<sub>5</sub> was observed with the presence of high aerosol
loadings, which indicates an active night-time chemistry in Beijing.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Aldener, M., Brown, S. S., Stark, H., Williams, E. J., Lerner, B. M., Kuster,
W. C., Goldan, P. D., Quinn, P. K., Bates, T. S., Fehsenfeld, F. C., and
Ravishankara, A. R.: Reactivity and loss mechanisms of NO<sub>3</sub> and
N<sub>2</sub>O<sub>5</sub> in a polluted marine environment: Results from in situ
measurements during New England Air Quality Study 2002, J. Geophys.
Res.-Atmos., 111, D23S73, <a href="http://dx.doi.org/10.1029/2006jd007252" target="_blank">doi:10.1029/2006jd007252</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Allan, D. W.: Statistics of Atomic Frequency Standards, Pr. Inst. Electr.
Elect., 54, 221–230, 1966.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Axson, J. L., Washenfelder, R. A., Kahan, T. F., Young, C. J., Vaida, V., and
Brown, S. S.: Absolute ozone absorption cross section in the Huggins Chappuis
minimum (350–470 nm) at 296 K, Atmos. Chem. Phys., 11, 11581–11590,
<a href="http://dx.doi.org/10.5194/acp-11-11581-2011" target="_blank">doi:10.5194/acp-11-11581-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Ayers, J. D., Apodaca, R. L., Simpson, W. R., and Baer, D. S.: Off-axis
cavity ring down spectroscopy: application to atmospheric nitrate radical
detection, Appl. Optics, 44, 7239–7242, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Benton, A. K., Langridge, J. M., Ball, S. M., Bloss, W. J., Dall'Osto, M.,
Nemitz, E., Harrison, R. M., and Jones, R. L.: Night-time chemistry above
London: measurements of NO<sub>3</sub> and N<sub>2</sub>O<sub>5</sub> from the BT Tower,
Atmos. Chem. Phys., 10, 9781–9795, <a href="http://dx.doi.org/10.5194/acp-10-9781-2010" target="_blank">doi:10.5194/acp-10-9781-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Bitter, M., Ball, S. M., Povey, I. M., and Jones, R. L.: A broadband cavity
ringdown spectrometer for in situ measurements of atmospheric trace gases,
Atmos. Chem. Phys., 5, 2547–2560, <a href="http://dx.doi.org/10.5194/acp-5-2547-2005" target="_blank">doi:10.5194/acp-5-2547-2005</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Brown, S. S. and Stutz, J.: Nighttime radical observations and chemistry,
Chem. Soc. Rev., 41, 6405–6447, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Brown, S. S., Stark, H., Ciciora, S. J., and Ravishankara, A. R.: In-situ
measurement of atmospheric NO<sub>3</sub> and N<sub>2</sub>O<sub>5</sub> via cavity
ring-down spectroscopy, Geophys. Res. Lett., 28, 3227–3230, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Brown, S. S., Stark, H., Ciciora, S. J., McLaughlin, R. J., and Ravishankara,
A. R.: Simultaneous in situ detection of atmospheric NO<sub>3</sub> and
N<sub>2</sub>O<sub>5</sub> via cavity ring-down spectroscopy, Rev. Sci. Instrum., 73,
3291–3301, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Brown, S. S., Stark, H., and Ravishankara, A. R.: Applicability of the steady
state approximation to the interpretation of atmospheric observations of
NO<sub>3</sub> and N<sub>2</sub>O<sub>5</sub>, J. Geophys. Res.-Atmos., 108, 4539,
<a href="http://dx.doi.org/10.1029/2003jd003407" target="_blank">doi:10.1029/2003jd003407</a>, 2003a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Brown, S. S., Stark, H., Ryerson, T. B., Williams, E. J., Nicks, D. K.,
Trainer, M., Fehsenfeld, F. C., and Ravishankara, A. R.: Nitrogen oxides in
the nocturnal boundary layer: Simultaneous in situ measurements of NO<sub>3</sub>,
N<sub>2</sub>O<sub>5</sub>, NO<sub>2</sub>, NO, and O<sub>3</sub>, J. Geophys. Res.-Atmos., 108,
4299, <a href="http://dx.doi.org/10.1029/2002jd002917" target="_blank">doi:10.1029/2002jd002917</a>, 2003b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Brown, S. S., Ryerson, T. B., Wollny, A. G., Brock, C. A., Peltier, R.,
Sullivan, A. P., Weber, R. J., Dubé, W. P., Trainer, M., Meagher, J. F.,
Fehsenfeld, F. C., and Ravishankara, A. R.: Variability in nocturnal nitrogen
oxide processing and its role in regional air quality, Science, 311, 67–70,
2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Brown, S. S., Dubé, W. P., Tham, Y. J., Zha, Q. Z., Xue, L. K., Poon, S.,
Wang, Z., Blake, D. R., Tsui, W., Parrish, D. D., and Wang, T.: Nighttime
chemistry at a high altitude site above Hong Kong, J. Geophys. Res.-Atmos.,
121, 2457–2475, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Chang, W. L., Bhave, P. V., Brown, S. S., Riemer, N., Stutz, J., and Dabdub,
D.: Heterogeneous Atmospheric Chemistry, Ambient Measurements, and Model
Calculations of N<sub>2</sub>O<sub>5</sub>: A Review, Aerosol Sci. Tech., 45,
665–695, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Chen, J. and Venables, D. S.: A broadband optical cavity spectrometer for
measuring weak near-ultraviolet absorption spectra of gases, Atmos. Meas.
Tech., 4, 425–436, <a href="http://dx.doi.org/10.5194/amt-4-425-2011" target="_blank">doi:10.5194/amt-4-425-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Crowley, J. N., Schuster, G., Pouvesle, N., Parchatka, U., Fischer, H., Bonn,
B., Bingemer, H., and Lelieveld, J.: Nocturnal nitrogen oxides at a rural
mountain-site in south-western Germany, Atmos. Chem. Phys., 10, 2795–2812,
<a href="http://dx.doi.org/10.5194/acp-10-2795-2010" target="_blank">doi:10.5194/acp-10-2795-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Dorn, H.-P., Apodaca, R. L., Ball, S. M., Brauers, T., Brown, S. S., Crowley,
J. N., Dubé, W. P., Fuchs, H., Häseler, R., Heitmann, U., Jones, R.
L., Kiendler-Scharr, A., Labazan, I., Langridge, J. M., Meinen, J., Mentel,
T. F., Platt, U., Pöhler, D., Rohrer, F., Ruth, A. A., Schlosser, E.,
Schuster, G., Shillings, A. J. L., Simpson, W. R., Thieser, J., Tillmann, R.,
Varma, R., Venables, D. S., and Wahner, A.: Intercomparison of NO<sub>3</sub>
radical detection instruments in the atmosphere simulation chamber SAPHIR,
Atmos. Meas. Tech., 6, 1111–1140, <a href="http://dx.doi.org/10.5194/amt-6-1111-2013" target="_blank">doi:10.5194/amt-6-1111-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Dubé, W. P., Brown, S. S., Osthoff, H. D., Nunley, M. R., Ciciora, S. J.,
Paris, M. W., McLaughlin, R. J., and Ravishankara, A. R.: Aircraft instrument
for simultaneous, in situ measurement of NO<sub>3</sub> and N<sub>2</sub>O<sub>5</sub> via
pulsed cavity ring-down spectroscopy, Rev. Sci. Instrum., 77, 034101,
<a href="http://dx.doi.org/10.1063/1.2176058" target="_blank">doi:10.1063/1.2176058</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Fiedler, S. E., Hese, A., and Ruth, A. A.: Incoherent broad-band
cavity-enhanced absorption spectroscopy, Chem. Phys. Lett., 371, 284–294,
2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Fortner, E. C., Zhao, J., and Zhang, R.: Development of Ion Drift-Chemical
Ionization Mass Spectrometry, Anal. Chem., 76, 5436–5440, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Fry, J. L., Kiendler-Scharr, A., Rollins, A. W., Wooldridge, P. J., Brown, S.
S., Fuchs, H., Dubé, W., Mensah, A., dal Maso, M., Tillmann, R., Dorn,
H.-P., Brauers, T., and Cohen, R. C.: Organic nitrate and secondary organic
aerosol yield from NO<sub>3</sub> oxidation of <i>β</i>-pinene evaluated using a
gas-phase kinetics/aerosol partitioning model, Atmos. Chem. Phys., 9,
1431–1449, <a href="http://dx.doi.org/10.5194/acp-9-1431-2009" target="_blank">doi:10.5194/acp-9-1431-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Fuchs, H., Dubé, W. P., Cicioira, S. J., and Brown, S. S.: Determination
of inlet transmission and conversion efficiencies for in situ measurements of
the nocturnal nitrogen oxides, NO<sub>3</sub>, N<sub>2</sub>O<sub>5</sub> and NO<sub>2</sub>, via
pulsed cavity ring-down spectroscopy, Anal. Chem., 80, 6010–6017, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Fuchs, H., Simpson, W. R., Apodaca, R. L., Brauers, T., Cohen, R. C.,
Crowley, J. N., Dorn, H.-P., Dubé, W. P., Fry, J. L., Häseler, R.,
Kajii, Y., Kiendler-Scharr, A., Labazan, I., Matsumoto, J., Mentel, T. F.,
Nakashima, Y., Rohrer, F., Rollins, A. W., Schuster, G., Tillmann, R.,
Wahner, A., Wooldridge, P. J., and Brown, S. S.: Comparison of
N<sub>2</sub>O<sub>5</sub> mixing ratios during NO<sub>3</sub>Comp 2007 in SAPHIR, Atmos.
Meas. Tech., 5, 2763–2777, <a href="http://dx.doi.org/10.5194/amt-5-2763-2012" target="_blank">doi:10.5194/amt-5-2763-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Gherman, T., Venables, D. S., Vaughan, S., Orphal, J., and Ruth, A. A.:
Incoherent broadband cavity-enhanced absorption spectroscopy in the
near-ultraviolet: Application to HONO and NO<sub>2</sub>, Environ. Sci. Technol.,
42, 890–895, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Kahan, T. F., Washenfelder, R. A., Vaida, V., and Brown, S. S.:
Cavity-Enhanced Measurements of Hydrogen Peroxide Absorption Cross Sections
from 353 to 410 nm, J. Phys. Chem. A, 116, 5941–5947, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Kennedy, O. J., Ouyang, B., Langridge, J. M., Daniels, M. J. S., Bauguitte,
S., Freshwater, R., McLeod, M. W., Ironmonger, C., Sendall, J., Norris, O.,
Nightingale, R., Ball, S. M., and Jones, R. L.: An aircraft based three
channel broadband cavity enhanced absorption spectrometer for simultaneous
measurements of NO<sub>3</sub>, N<sub>2</sub>O<sub>5</sub> and NO<sub>2</sub>, Atmos. Meas. Tech., 4,
1759–1776, <a href="http://dx.doi.org/10.5194/amt-4-1759-2011" target="_blank">doi:10.5194/amt-4-1759-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Kercher, J. P., Riedel, T. P., and Thornton, J. A.: Chlorine activation by
N<sub>2</sub>O<sub>5</sub>: simultaneous, in situ detection of ClNO<sub>2</sub> and
N<sub>2</sub>O<sub>5</sub> by chemical ionization mass spectrometry, Atmos. Meas. Tech.,
2, 193–204, <a href="http://dx.doi.org/10.5194/amt-2-193-2009" target="_blank">doi:10.5194/amt-2-193-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Langridge, J. M., Laurila, T., Watt, R. S., Jones, R. L., Kaminski, C. F.,
and Hult, J.: Cavity enhanced absorption spectroscopy of multiple trace gas
species using a supercontinuum radiation source, Opt. Express, 16,
10178–10188, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Lu, K. D., Rohrer, F., Holland, F., Fuchs, H., Brauers, T., Oebel, A., Dlugi,
R., Hu, M., Li, X., Lou, S. R., Shao, M., Zhu, T., Wahner, A., Zhang, Y. H.,
and Hofzumahaus, A.: Nighttime observation and chemistry of HO<sub><i>x</i></sub> in the
Pearl River Delta and Beijing in summer 2006, Atmos. Chem. Phys., 14,
4979–4999, <a href="http://dx.doi.org/10.5194/acp-14-4979-2014" target="_blank">doi:10.5194/acp-14-4979-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Matsumoto, J., Kosugi, N., Imai, H., and Kajii, Y.: Development of a
measurement system for nitrate radical and dinitrogen pentoxide using a
thermal conversion/laser-induced fluorescence technique, Rev. Sci. Instrum.,
76, 064101, <a href="http://dx.doi.org/10.1063/1.1927098" target="_blank">doi:10.1063/1.1927098</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Min, K.-E., Washenfelder, R. A., Dubé, W. P., Langford, A. O., Edwards,
P. M., Zarzana, K. J., Stutz, J., Lu, K., Rohrer, F., Zhang, Y., and Brown,
S. S.: A broadband cavity enhanced absorption spectrometer for aircraft
measurements of glyoxal, methylglyoxal, nitrous acid, nitrogen dioxide, and
water vapor, Atmos. Meas. Tech., 9, 423–440, <a href="http://dx.doi.org/10.5194/amt-9-423-2016" target="_blank">doi:10.5194/amt-9-423-2016</a>,
2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Nakayama, T., Ide, T., Taketani, F., Kawai, M., Takahashi, K., and Matsumi,
Y.: Nighttime measurements of ambient N<sub>2</sub>O<sub>5</sub>, NO<sub>2</sub>, NO and
O<sub>3</sub> in a sub-urban area, Toyokawa, Japan, Atmos. Environ., 42,
1995–2006, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Orphal, J., Fellows, C. E., and Flaud, P. M.: The visible absorption spectrum
of NO<sub>3</sub> measured by high-resolution Fourier transform spectroscopy, J.
Geophys. Res.-Atmos., 108, 4077, <a href="http://dx.doi.org/10.1029/2002jd002489" target="_blank">doi:10.1029/2002jd002489</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Osthoff, H. D., Pilling, M. J., Ravishankara, A. R., and Brown, S. S.:
Temperature dependence of the NO<sub>3</sub> absorption cross-section above 298 K
and determination of the equilibrium constant for NO<sub>3</sub>+ NO<sub>2</sub>  ↔  N<sub>2</sub>O<sub>5</sub> at atmospherically
relevant conditions, Phys. Chem. Chem. Phys., 9, 5785–5793, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Osthoff, H. D., Roberts, J. M., Ravishankara, A. R., Williams, E. J., Lerner,
B. M., Sommariva, R., Bates, T. S., Coffman, D., Quinn, P. K., Dibb, J. E.,
Stark, H., Burkholder, J. B., Talukdar, R. K., Meagher, J., Fehsenfeld, F.
C., and Brown, S. S.: High levels of nitryl chloride in the polluted
subtropical marine boundary layer, Nat. Geosci., 1, 324–328, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Phillips, G. J., Tang, M. J., Thieser, J., Brickwedde, B., Schuster, G.,
Bohn, B., Lelieveld, J., and Crowley, J. N.: Significant concentrations of
nitryl chloride observed in rural continental Europe associated with the
influence of sea salt chloride and anthropogenic emissions, Geophys. Res.
Lett., 39, L10811, <a href="http://dx.doi.org/10.1029/2012GL051912" target="_blank">doi:10.1029/2012GL051912</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Ravishankara, A. R. and Mauldin, R. L.: Temperature-Dependence of the
NO<sub>3</sub> Cross-Section in the 662-Nm Region, J. Geophys. Res.-Atmos., 91,
8709–8712, 1986.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Richter, A., Burrows, J. P., Nuss, H., Granier, C., and Niemeier, U.:
Increase in tropospheric nitrogen dioxide over China observed from space,
Nature, 437, 129–132, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Riemer, N., Vogel, H., Vogel, B., Schell, B., Ackermann, I., Kessler, C., and
Hass, H.: Impact of the heterogeneous hydrolysis of N<sub>2</sub>O<sub>5</sub> on
chemistry and nitrate aerosol formation in the lower troposphere under
photosmog conditions, J. Geophys. Res.-Atmos., 108, 4144,
<a href="http://dx.doi.org/10.1029/2002jd002436" target="_blank">doi:10.1029/2002jd002436</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Sander, S. P.: Temperature-Dependence of the No3 Absorption-Spectrum, J.
Phys. Chem.-US, 90, 4135–4142, 1986.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Schuster, G., Labazan, I., and Crowley, J. N.: A cavity ring down/cavity
enhanced absorption device for measurement of ambient NO<sub>3</sub> and
N<sub>2</sub>O<sub>5</sub>, Atmos. Meas. Tech., 2, 1–13, <a href="http://dx.doi.org/10.5194/amt-2-1-2009" target="_blank">doi:10.5194/amt-2-1-2009</a>,
2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Shardanand, S. and Rao, A. D. P.: Absolute Rayleigh scattering cross sections
of gases and freons of stratospheric interest in the visible and ultraviolet
regions, NASA Technical Note, Alabama, USA, 1977.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Simpson, W. R.: Continuous wave cavity ring-down spectroscopy applied to in
situ detection of dinitrogen pentoxide (N<sub>2</sub>O<sub>5</sub>), Rev. Sci. Instrum.,
74, 3442–3452, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Slusher, D. L., Huey, L. G., Tanner, D. J., Flocke, F. M., and Roberts, J.
M.: A thermal dissociation-chemical ionization mass spectrometry (TD-CIMS)
technique for the simultaneous measurement of peroxyacyl nitrates and
dinitrogen pentoxide, J. Geophys. Res.-Atmos., 109, D19315,
<a href="http://dx.doi.org/10.1029/2004jd004670" target="_blank">doi:10.1029/2004jd004670</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Sneep, M. and Ubachs, W.: Direct measurement of the Rayleigh scattering cross
section in various gases, J. Quant. Spectrosc. Ra., 92, 293–310, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Sobanski, N., Tang, M. J., Thieser, J., Schuster, G., Pöhler, D.,
Fischer, H., Song, W., Sauvage, C., Williams, J., Fachinger, J., Berkes, F.,
Hoor, P., Platt, U., Lelieveld, J., and Crowley, J. N.: Chemical and
meteorological influences on the lifetime of NO<sub>3</sub> at a semi-rural
mountain site during PARADE, Atmos. Chem. Phys., 16, 4867–4883,
<a href="http://dx.doi.org/10.5194/acp-16-4867-2016" target="_blank">doi:10.5194/acp-16-4867-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Tan, Z., Fuchs, H., Lu, K., Hofzumahaus, A., Bohn, B., Broch, S., Dong, H.,
Gomm, S., Häseler, R., He, L., Holland, F., Li, X., Liu, Y., Lu, S.,
Rohrer, F., Shao, M., Wang, B., Wang, M., Wu, Y., Zeng, L., Zhang, Y.,
Wahner, A., and Zhang, Y.: Radical chemistry at a rural site (Wangdu) in the
North China Plain: observation and model calculations of OH, HO<sub>2</sub> and
RO<sub>2</sub> radicals, Atmos. Chem. Phys., 17, 663–690,
<a href="http://dx.doi.org/10.5194/acp-17-663-2017" target="_blank">doi:10.5194/acp-17-663-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Thalman, R. and Volkamer, R.: Inherent calibration of a blue LED-CE-DOAS
instrument to measure iodine oxide, glyoxal, methyl glyoxal, nitrogen
dioxide, water vapour and aerosol extinction in open cavity mode, Atmos.
Meas. Tech., 3, 1797–1814, <a href="http://dx.doi.org/10.5194/amt-3-1797-2010" target="_blank">doi:10.5194/amt-3-1797-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Tham, Y. J., Wang, Z., Li, Q., Yun, H., Wang, W., Wang, X., Xue, L., Lu, K.,
Ma, N., Bohn, B., Li, X., Kecorius, S., Größ, J., Shao, M.,
Wiedensohler, A., Zhang, Y., and Wang, T.: Significant concentrations of
nitryl chloride sustained in the morning: investigations of the causes and
impacts on ozone production in a polluted region of northern China, Atmos.
Chem. Phys., 16, 14959–14977, <a href="http://dx.doi.org/10.5194/acp-16-14959-2016" target="_blank">doi:10.5194/acp-16-14959-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Thornton, J. A., Kercher, J. P., Riedel, T. P., Wagner, N. L., Cozic, J.,
Holloway, J. S., Dubé, W. P., Wolfe, G. M., Quinn, P. K., Middlebrook, A.
M., Alexander, B., and Brown, S. S.: A large atomic chlorine source inferred
from mid-continental reactive nitrogen chemistry, Nature, 464, 271–274,
2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Varma, R. M., Venables, D. S., Ruth, A. A., Heitmann, U., Schlosser, E., and
Dixneuf, S.: Long optical cavities for open-path monitoring of atmospheric
trace gases and aerosol extinction, Appl. Optics, 48, B159–B171, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Venables, D. S., Gherman, T., Orphal, J., Wenger, J. C., and Ruth, A. A.:
High sensitivity in situ monitoring of NO<sub>3</sub> in an atmospheric simulation
chamber using incoherent broadband cavity-enhanced absorption spectroscopy,
Environ. Sci. Technol., 40, 6758–6763, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
Voigt, S., Orphal, J., and Burrows, J. P.: The temperature and pressure
dependence of the absorption cross-sections of NO<sub>2</sub> in the 250–800 nm
region measured by Fourier-transform spectroscopy, J. Photoch. Photobio. A,
149, 1–7, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
Wang, D., Hu, R. Z., Xie, P. H., Liu, J. G., Liu, W. Q., Qin, M., Ling, L.
Y., Zeng, Y., Chen, H., Xing, X. B., Zhu, G. L., Wu, J., Duan, J., Lu, X.,
and Shen, L. L.: Diode laser cavity ring-down spectroscopy for in situ
measurement of NO<sub>3</sub> radical in ambient air, J. Quant. Spectrosc. Ra.,
166, 23–29, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Wang, H. C., Chen, J., and Lu, K. D.: Measurement of NO<sub>3</sub> and
N<sub>2</sub>O<sub>5</sub> in the Troposphere, Prog. Chem., 27, 963–976, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
Wang, S. S., Shi, C. Z., Zhou, B., Zhao, H., Wang, Z. R., Yang, S. N., and
Chen, L. M.: Observation of NO<sub>3</sub> radicals over Shanghai, China, Atmos.
Environ., 70, 401–409, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
Wang, T., Tham, Y. J., Xue, L. K., Li, Q. Y., Zha, Q. Z., Wang, Z., Poon, S.
C. N., Dubé, W. P., Blake, D. R., Louie, P. K. K., Luk, C. W. Y., Tsui,
W., and Brown, S. S.: Observations of nitryl chloride and modeling its source
and effect on ozone in the planetary boundary layer of southern China, J.
Geophys. Res.-Atmos., 121, 2476–2489, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
Wang, X., Wang, T., Yan, C., Tham, Y. J., Xue, L., Xu, Z., and Zha, Q.: Large
daytime signals of N<sub>2</sub>O<sub>5</sub> and NO<sub>3</sub> inferred at 62 amu in a
TD-CIMS: chemical interference or a real atmospheric phenomenon?, Atmos.
Meas. Tech., 7, 1–12, <a href="http://dx.doi.org/10.5194/amt-7-1-2014" target="_blank">doi:10.5194/amt-7-1-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
Wangberg, I., Etzkorn, T., Barnes, I., Platt, U., and Becker, K. H.: Absolute
determination of the temperature behavior of the NO<sub>2</sub>+ NO<sub>3</sub>+ (M)  ↔  N<sub>2</sub>O<sub>5</sub> + (M) equilibrium, J. Phys.
Chem. A, 101, 9694–9698, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
Washenfelder, R. A., Langford, A. O., Fuchs, H., and Brown, S. S.:
Measurement of glyoxal using an incoherent broadband cavity enhanced
absorption spectrometer, Atmos. Chem. Phys., 8, 7779–7793,
<a href="http://dx.doi.org/10.5194/acp-8-7779-2008" target="_blank">doi:10.5194/acp-8-7779-2008</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
Washenfelder, R. A., Flores, J. M., Brock, C. A., Brown, S. S., and Rudich,
Y.: Broadband measurements of aerosol extinction in the ultraviolet spectral
region, Atmos. Meas. Tech., 6, 861–877, <a href="http://dx.doi.org/10.5194/amt-6-861-2013" target="_blank">doi:10.5194/amt-6-861-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
Washenfelder, R. A., Attwood, A. R., Flores, J. M., Zarzana, K. J., Rudich,
Y., and Brown, S. S.: Broadband cavity-enhanced absorption spectroscopy in
the ultraviolet spectral region for measurements of nitrogen dioxide and
formaldehyde, Atmos. Meas. Tech., 9, 41–52, <a href="http://dx.doi.org/10.5194/amt-9-41-2016" target="_blank">doi:10.5194/amt-9-41-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
Wayne, R. P., Barnes, I., Biggs, P., Burrows, J. P., Canosa-Mas, C. E.,
Hjorth, J., Le Bras, G., Moortgat, G. K., Perner, D., Poulet, G., Restelli,
G., and Sidebottom, H.: The nitrate radical: Physics, chemistry, and the
atmosphere, Atmos. Environ., 25A, 1–206, 1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
Werle, P., Mucke, R., and Slemr, F.: The Limits of Signal Averaging in
Atmospheric Trace-Gas Monitoring by Tunable Diode-Laser
Absorption-Spectroscopy (Tdlas), Appl. Phys. B-Photo., 57, 131–139, 1993.

</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
Yokelson, R. J., Burkholder, J. B., Fox, R. W., Talukdar, R. K., and
Ravishankara, A. R.: Temperature-Dependence of the NO<sub>3</sub>
Absorption-Spectrum, J. Phys. Chem.-US, 98, 13144–13150, 1994.
</mixed-citation></ref-html>--></article>
