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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">AMT</journal-id>
<journal-title-group>
<journal-title>Atmospheric Measurement Techniques</journal-title>
<abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1867-8548</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-10-1241-2017</article-id><title-group><article-title>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> reactivity: design, characterization and
first deployment of a new instrument</article-title>
      </title-group><?xmltex \runningtitle{Measurement of ambient NO${}_{{3}}$ reactivity}?><?xmltex \runningauthor{J. M. Liebmann et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Liebmann</surname><given-names>Jonathan M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Schuster</surname><given-names>Gerhard</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Schuladen</surname><given-names>Jan B.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Sobanski</surname><given-names>Nicolas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Lelieveld</surname><given-names>Jos</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6307-3846</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Crowley</surname><given-names>John N.</given-names></name>
          <email>john.crowley@mpic.de</email>
        <ext-link>https://orcid.org/0000-0001-8669-0230</ext-link></contrib>
        <aff id="aff1"><institution>Atmospheric Chemistry Department, Max-Planck-Institut für Chemie, 55128 Mainz, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">John N. Crowley (john.crowley@mpic.de)</corresp></author-notes><pub-date><day>30</day><month>March</month><year>2017</year></pub-date>
      
      <volume>10</volume>
      <issue>3</issue>
      <fpage>1241</fpage><lpage>1258</lpage>
      <history>
        <date date-type="received"><day>23</day><month>November</month><year>2016</year></date>
           <date date-type="rev-request"><day>29</day><month>November</month><year>2016</year></date>
           <date date-type="rev-recd"><day>1</day><month>March</month><year>2017</year></date>
           <date date-type="accepted"><day>3</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/10/1241/2017/amt-10-1241-2017.html">This article is available from https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017.html</self-uri>
<self-uri xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017.pdf</self-uri>


      <abstract>
    <p>We describe the first instrument for measurement of the
rate constant (s<inline-formula><mml:math id="M2" 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> for reactive loss (i.e., the total reactivity) of
NO<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in ambient air. Cavity-ring-down spectroscopy is used to monitor
the mixing ratio of synthetically generated 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> (<inline-formula><mml:math id="M5" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 30–50 pptv)
after passing through a flow-tube reactor with variable residence time
(generally 10.5 s). The change in concentration of NO<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> upon modulation
of the bath gas between zero air and ambient air is used to derive its loss
rate constant, which is then corrected for formation and decomposition of
N<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<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> via numerical simulation. The instrument is calibrated and
characterized using known amounts of NO and NO<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and tested in the
laboratory with an isoprene standard. The lowest reactivity that can be
detected (defined by the stability of the NO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> source, instrumental
parameters and NO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios) is 0.005 s<inline-formula><mml:math id="M12" 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>. An automated
dilution procedure enables measurement of NO<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivities up to 45 s<inline-formula><mml:math id="M14" 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>, this upper limit being defined mainly by the dilution accuracy.
The typical total uncertainty associated with the reactivity measurement at
the center of its dynamic range is 16 %, though this is dependent on
ambient NO<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels. Results from the first successful deployment of the
instrument at a forested mountain site with urban influence are shown and
future developments outlined.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Large amounts of biogenic and anthropogenic trace gases are emitted annually
into the atmosphere. Recent estimates (Guenther et al.,
2012) suggest that about 1000 Tg of biogenic volatile organic compounds (VOCs), especially isoprene (contributing 50 %) and monoterpenes
(15 %), are emitted annually by vegetation. The global burden of
anthropogenic emission is dominated by CO<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>, CO, N<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, CH<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>,
SO<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>, NO<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and organic carbon, the latter contributing about 11 Tg
(Huang et al., 2015). In particular, nitrogen
oxides from combustion and microbial activity in soils have a major impact
on the chemistry of the natural atmosphere (Crutzen, 1973). Most VOCs
are oxidized efficiently in the Earth's boundary layer, the oxidizing
capacity of which represents 15 % of that of the entire atmosphere
(Lelieveld et al., 2016). Biogenic and anthropogenic VOCs
have a significant impact on air quality and human health and knowing and
understanding their lifetimes, which are determined by the oxidizing
capacity of the atmosphere, is a prerequisite to predicting future atmospheric
composition and related climate phenomena (Lelieveld et
al., 2008).</p>
      <p>During daytime, photochemically formed OH radicals represent the dominant
contribution to the oxidative capacity of the atmosphere. As OH levels are
vastly reduced in the absence of sunlight, the 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> radical (formed by
reaction of NO<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> with O<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>; Reaction R1) is the major oxidizing agent
at elevated NO<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> for many biogenic terpenoids and other unsaturated
compounds at nighttime (Wayne et al., 1991; Atkinson, 2000; Atkinson and
Arey, 2003a, b; Brown and Stutz, 2012; Ng et al., 2017). 

              <disp-formula id="Ch1.E1" content-type="numbered reaction"><mml:math id="M25" display="block"><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">2</mml:mn></mml:msub><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:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></disp-formula>

        NO<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> reacts rapidly with NO (Reaction R2, rate constant <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.6</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">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M29" 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> s<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 298 K; Atkinson et al., 2004) and
undergoes rapid photolysis (Reactions R5, R6) so that its lifetime is usually of the
order of seconds during the day and its concentration too low for it to be
considered an important daytime oxidant.</p>
      <p>At night, NO<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can react with NO<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, forming N<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, which
thermally decomposes to set up a thermal equilibrium between NO<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>,
NO<inline-formula><mml:math id="M36" 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="M37" 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="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Reactions R3, R4) with N<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> formation
favored by lower temperatures. As both NO<inline-formula><mml:math id="M41" 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="M42" 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="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> are
formed from NO<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (NO<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> NO <inline-formula><mml:math id="M46" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M47" 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> the loss of either
NO<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> via gas-phase reactions or N<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> via heterogeneous uptake
to particles or deposition implies a reduction in NO<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and thus a
reduction in the rate of photochemical O<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation (Dentener and Crutzen, 1993). In addition, heterogeneous loss
of N<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> can also result in release of ClNO<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from chloride-containing particles (Reaction R7) (Osthoff et al., 2008; Thornton et al., 2010;
Mielke et al., 2011; Phillips et al., 2012; Riedel et al., 2012). The main
loss processes of 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> are summarized in Fig. 1.

              <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M57" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><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:mn mathvariant="normal">2</mml:mn><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: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">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:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><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: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">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">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">M</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><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">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><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:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><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">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></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">2</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><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:mtext>surface</mml:mtext><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:mspace linebreak="nobreak" width="1em"/><mml:mo>(</mml:mo><mml:msub><mml:mtext>and/or ClNO</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          In rural and forested areas, reaction with biogenic VOCs can dominate the
loss of NO<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Mogensen et al., 2015). Especially terpenoids like limonene
(<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.2</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">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M61" 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> s<inline-formula><mml:math id="M62" 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>, <inline-formula><mml:math id="M63" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene (<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.2</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">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M66" 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> s<inline-formula><mml:math id="M67" 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> and
isoprene (<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.5</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">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M70" 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> s<inline-formula><mml:math id="M71" 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>
have high rate constants for reaction with NO<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (IUPAC, 2016; Ng et al.,
2017). In such environments, when NO<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels are low, NO<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing
ratios may be sub-pptv and below the detection limit for most instruments
(Rinne et al., 2012).</p>
      <p>The reaction of 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> with trace gases containing unsaturated C<inline-formula><mml:math id="M76" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>C bonds
proceeds via addition to form nitrooxyalkyl radicals that undergo rapid
reaction with O<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> to form nitrooxyalkyl peroxy radicals. The peroxy
radicals react further (with HO<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO, NO<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or NO<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,) to form
multifunctional organic nitrates, which can contribute to generation and
growth of secondary organic aerosols (Fry et al., 2014; Ng et al., 2017) or
be lost by deposition.</p>
      <p>The role of NO<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> as an oxidizing agent may be assessed via its total
reactivity (or inverse lifetime). Whereas for OH, experimental methods for
measuring total reactivity in ambient air exist (Kovacs and Brune, 2001;
Sinha et al., 2008), NO<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity has not yet been directly measured.
Stationary-state approximations have often been used to calculate NO<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
lifetimes from its mixing ratio and production rate, the latter being given
by <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>[NO<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>][O<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>] (Heintz et al., 1996; Geyer and Platt, 2002;
Brown et al., 2007a, b, 2009; Sobanski et al., 2016b). Thus the
stationary-state turnover lifetime, <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">ss</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, can be calculated
according to Eq. (1), where <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the rate constant
for Reaction (R1). 
          <disp-formula id="Ch1.E8" content-type="numbered"><mml:math id="M89" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">ss</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">ss</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mfenced close="]" open="["><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:mfenced><mml:mfenced close="]" open="["><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:mfenced></mml:mrow><mml:mrow><mml:mfenced close="]" open="["><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:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
        This method is applicable when the chemical lifetime of NO<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is
sufficiently short so that stationary state can be achieved within transport
time from emission to measurement location (Brown et al.,
2003). Formally it is achieved when the production and loss of NO<inline-formula><mml:math id="M91" 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="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> are balanced (Brown et al., 2003; Crowley et al., 2011).
The time to acquire stationary state depends on production and loss rates
for NO<inline-formula><mml:math id="M94" 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="M95" 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="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and can take several hours. This approach
can break down under conditions of moderate to high NO<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels, strong
sinks, low temperatures or very clean air masses in which the sinks for
NO<inline-formula><mml:math id="M98" 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="M99" 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="M100" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> become small (Brown et al.,
2003). Indeed, Sobanski et al. (2016b)
observed much lower stationary-state loss rates compared to those calculated
from measured VOC mixing ratios during the PARADE 2011 campaign and
concluded that this was mainly the result of sampling from a low-lying
residual layer with VOC emissions that were too close for NO<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations to achieve stationary state. They also considered the
possibility that NO<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> may be formed by the oxidation of NO<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by
Criegee intermediates, which would bias calculations of its reactivity.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Gas-phase formation and loss of tropospheric 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>, indicating
processes which transfer reactive nitrogen to the particle phase. RONO<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>
are alkyl nitrates. VOC is volatile organic compound.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f01.png"/>

      </fig>

      <p>Summarizing, NO<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity with respect to gas-phase losses is an
indication of nighttime oxidation rates of VOCs, with direct impacts on
NO<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels by forming long-lived reservoir species (alkyl nitrates),
some of which will partition to the particle phase. Via modification of
N<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (formed in an association reaction of NO<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
with NO<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, Reaction R3), the 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> reactivity indirectly controls
heterogeneous NO<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> losses and ClNO<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> formation rates.</p>
      <p>In this paper we describe a newly developed instrument that enables point
measurements 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> reactivity in ambient air. After introducing the
methodology in Sect. 2, we show the results of extensive laboratory
characterization of the instrument along with discussion of the
uncertainties associated with those measurements in Sects. 3 to 5. In
Sect. 6 we present a data set of ambient NO<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity obtained at a
forested/urban location in southwestern Germany.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Schematic diagram of the NO<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-reactivity  measurement.
F<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>–F<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula> are mass flow controllers: F<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> is mirror purge flow,
F<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is zero air for O<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> generation, F<inline-formula><mml:math id="M123" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is dilution/inlet
overflow (switching between zero air and ambient), F<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> is NO<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for
NO<inline-formula><mml:math id="M126" 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="M127" 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="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> generation, F<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is NO titration of NO<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
F<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> is cavity flow to pump and F<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula> is NO flow for online reactivity
calibration. CrO is critical orifice. TD is heated tubing for thermal
decomposition of N<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M134" 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="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at 140 <inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f02.png"/>

      </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2">
  <title>Methodology</title>
      <p>Our experiments to measure NO<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity involve comparison of loss
rates of synthetically generated NO<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in zero air and in ambient air
introduced into a flow-tube reactor. In zero air, the loss of NO<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is
due to its reaction with NO<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (present as a necessary component in the
generation of NO<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, see below) and losses on surfaces of the flow tube.
When zero air is replaced by ambient air, NO<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is additionally removed
by reaction with reactive gases present and its mixing ratio reduced
accordingly. An analysis of the change in signal for a fixed reaction time
enables the NO<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity to be derived once certain corrections have
been applied (see below).</p>
      <p>Figure 2 displays a schematic diagram of the experimental setup. The three
central components are a dark reactor for generation of NO<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, the
flow tube in which 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> reacts with trace gases in ambient air samples
and the detection system for NO<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.</p>
<sec id="Ch1.S2.SS1">
  <?xmltex \opttitle{Generation of NO${}_{{3}}$}?><title>Generation of NO<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p>Many laboratory studies of NO<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> kinetics have used the thermal
decomposition of N<inline-formula><mml:math id="M149" 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="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> as 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> source (Reaction R4) (Wayne
et al., 1991). The generation of NO<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from gas-phase N<inline-formula><mml:math id="M153" 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="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
eluted from samples of crystalline 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> (at <inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>80 <inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) was
found to be insufficiently stable for the present application and is also
difficult (though not impossible; see, e.g., Fuchs et al., 2008; Wagner et
al., 2011) to use during field campaigns where adequate laboratory
facilities for the safe generation and purification of N<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> are
frequently not available. In addition, generation 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> from
N<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> was also accompanied by an NO<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> impurity of several parts
per billion (ppbv).</p>
      <p>We therefore generate NO<inline-formula><mml:math id="M165" 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="M166" 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="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> in situ, via the
oxidation of NO<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by O<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Reactions R1, R3). For this purpose, 400 standard cm<inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> min<inline-formula><mml:math id="M171" 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> (sccm) of synthetic air from a zero-air generator (Fuhr
Cap 180) is passed over a Hg lamp (low-pressure, Penray type) at a pressure
of 1200 Torr. The photo-dissociation of O<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> at 184.95 nm results in
formation of oxygen atoms that recombine with O<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to form <inline-formula><mml:math id="M174" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 400 ppbv O<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>. The O<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>/air flow is then mixed with NO<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in
synthetic air (0.93 ppmv, 1–10 sccm) and directed into a temperature-stabilized (30 <inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), darkened, FEP-coated reactor (length 70 cm,
diameter 6 cm) also at a pressure of 1200 Torr. The reactor is darkened to
prevent the photolysis of NO<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> by room lights. Operation at
above-ambient pressure extends the reaction time for a given flow rate, thus
optimizing the conversion of 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> to NO<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> via the reaction between
NO<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> 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>, which has a low rate constant of <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.05</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="M185" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M186" 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> s<inline-formula><mml:math id="M187" 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 30 <inline-formula><mml:math id="M188" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The use
of high pressures also optimizes the formation of N<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>O<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> in the
termolecular Reaction R3 and reduces the rate of diffusion and loss of
NO<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to the walls of the reactor. A high pressure in the darkened
reactor also has the advantage of partially decoupling it from fluctuations
in ambient pressure which influence the formation of N<inline-formula><mml:math id="M192" 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="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. Heating
the reactor to above room temperature is carried out to stabilize the
formation of N<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, which otherwise shows strong fluctuations owing
to variations in laboratory temperature, typically about 3–5<inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> within
the course of a day or night. The approximate reaction time for the stepwise
conversion of NO<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> to N<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> in the darkened reactor is <inline-formula><mml:math id="M200" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 5 min. Based on the O<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration and the rate constant for Reaction (R1),
the initial conversion of NO<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to NO<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is about 15 %.</p>
      <p>The gas exiting the darkened reactor passes through a pinhole
(Ø <inline-formula><mml:math id="M204" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 250 <inline-formula><mml:math id="M205" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m) to reduce the pressure to roughly
ambient level and then enters a <inline-formula><mml:math id="M206" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 30 cm long piece of <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> in.
(<inline-formula><mml:math id="M208" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 6.4 mm) PFA tubing (residence time <inline-formula><mml:math id="M209" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 0.5 s), which is
heated to 140 <inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in order to thermally decompose N<inline-formula><mml:math id="M211" 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="M212" 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="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Calculations using the thermal decomposition rate constant for
N<inline-formula><mml:math id="M214" 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="M215" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (lifetime of 0.001 s at 140 <inline-formula><mml:math id="M216" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) indicate that
after <inline-formula><mml:math id="M217" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 0.1 s the N<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M219" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is stoichiometrically converted
to 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>. The temperature is measured on the outside of the PFA tubing and
does not necessarily reflect the temperature of the gas flowing through it.
The value of 140 <inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C is chosen based on a series of experiments in
which the tubing temperature was varied and the yield of 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> monitored.
A PFA T-piece located immediately behind the heated tubing is used to add a
2900 sccm flow of either zero or ambient air to the synthetic 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>
sample. After this dilution step the air contains <inline-formula><mml:math id="M224" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 30–50 pptv
NO<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M226" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 1 ppbv NO<inline-formula><mml:math id="M227" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M228" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 50 ppbv O<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. As
described later, keeping NO<inline-formula><mml:math id="M230" 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="M231" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels as low as possible has
important consequences for the data analysis. Low levels of NO<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> also
help to ensure that the addition of 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> does not significantly change
the reactivity of the air, i.e., by removing a large fraction of the reactive
trace gases (RTG). We later assess the potential change in air-mass reactivity
(i.e., by depletion of RTG or formation of reactive radicals)
following addition of NO<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at these levels to ambient air.</p>
      <p>As described below, the present instrument is a modification of one designed
to measure ambient mixing ratios 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> and N<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>O<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and is
equipped with a second cavity connected to a heated inlet that measures the
sum of NO<inline-formula><mml:math id="M238" 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="M239" 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="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. Experiments in which both cavities were
used to analyze the flow out of the heated piping indicated that there was
no residual N<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M242" 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.SS2">
  <?xmltex \opttitle{Detection of NO${}_{{3}}$ using cavity-ring-down spectroscopy (CRDS)}?><title>Detection of NO<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> using cavity-ring-down spectroscopy (CRDS)</title>
      <p>For detection of the NO<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radical we used CRDS, a sensitive technique for measurements of atmospheric trace gases
and often used for measurement of ambient NO<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Brown et al.,
2002). In essence, CRDS is an extinction measurement in a closed optical
resonator (cavity) where light is trapped between mirrors with high
reflectivity to generate a very long absorption path. Ring-down refers to
the decay of light intensity (monitored behind the cavity exit mirror) and
the general expression to derive the concentration of an absorbing or
scattering gas is given by (Berden et al., 2000)
            <disp-formula id="Ch1.E9" content-type="numbered"><mml:math id="M246" display="block"><mml:mrow><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>c</mml:mi><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mfenced close=")" open="("><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>X</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> correspond to inverse-decay constants
in the absence and presence of an absorbing or scattering trace gas <inline-formula><mml:math id="M249" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>,
respectively, and <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the absorption
cross section/scattering coefficient of <inline-formula><mml:math id="M251" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> at wavelength <inline-formula><mml:math id="M252" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>.</p>
      <p>The instrument used is a two-channel CRDS that was previously used to
measure ambient levels of N<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M254" 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="M255" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Schuster et al.,
2009; Crowley et al., 2010). Important modifications to the previous setup
include use of FEP-coated glass cavities of equivalent size and fibre optics
for the coupling of the laser to the cavity. The thermal dissociation cavity
previously used for detection of atmospheric N<inline-formula><mml:math id="M256" 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="M257" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is not necessary
for the measurement of NO<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> lifetimes but was used for calibration and
characterization experiments. Only the central features and important
modifications compared to the prototype described in Schuster et al. (2009)
are described in detail here.</p>
      <p>The light source is a 625 Hz, square-wave modulated, 100 mW laser diode
located in a Thorlabs TCLDM9 housing and thermally stabilized at
36 <inline-formula><mml:math id="M259" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C using a Thorlabs ITC502 laser diode combi controller to
produce light at 661.95 nm (0.5 nm full width at half maximum) and therefore
close to the NO<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> absorption maximum. The effective cross section of
NO<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was calculated as <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.09</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="M263" 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="M264" 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> by
convoluting the temperature-dependent NO<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> absorption spectrum
(Orphal et al., 2003; Osthoff et al., 2007) with the laser diode emission
spectrum. Coupling between the laser diode and the cavities is achieved by
using either optical fibres (0.22 NA, 50 <inline-formula><mml:math id="M266" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m core, 400–2400 nm) for
measuring NO<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity or using fibre optics with a beam splitter
(Thorlabs FCMM50-50A-FC, 50 : 50 ratio) in order to operate both cavities.
The beam was collimated (Thorlabs FiberPort Collimator PAF-X-18-PC-A) and
directed through an optical isolator (Thorlabs IO-3D-660-VLP), focused by a
lens (Thorlabs A230TM-A) into the optical fibre and then collimated again to
a beam diameter of about 6 mm before entering the cavity.</p>
      <p>The NO<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> cavity (Teflon-coated glass (DuPont, FEP, TE 9568), length 70 cm, volume 79 cm<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was operated at room temperature, while the
N<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M271" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> cavity was operated at 80 <inline-formula><mml:math id="M272" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C with a pre-cavity
section heated to 85 <inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in order to convert N<inline-formula><mml:math id="M274" 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="M275" 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="M276" 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="M277" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> cavity was connected to the flow tube using <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">8</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M279" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 3.2 mm) PFA tubing that lined the <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M281" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 6.4 mm)
injector. The use of small-diameter tubing results in short transport times
between the flow tube and CRDS and also induces a pressure drop of 133 mbar,
so that the pressure in the cavity was 880 mbar. Gases entered the middle of
the cavity via a T-piece and were pumped from the ends via a flow controller
into the exhaust. The flow rates in both cavities were 3000 cm<inline-formula><mml:math id="M282" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> (STP) min<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (sccm), resulting in a residence time of approximately 1.6 s as
calculated from the volume flow rate. Gas entering the CRDS detector always
passed through a 2 <inline-formula><mml:math id="M284" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m membrane filter (Pall Teflo) to remove particles.
Light exiting the cavities through the rear mirror was detected by a
photomultiplier (Hamamatsu E717-500) which was screened by a 662 nm
interference filter. The pre-amplified PMT signal was digitized and averaged
with a 10 MHz, 12 bit USB scope (Picoscope 3424) which was triggered at the
laser modulation frequency of 625 Hz.</p>
      <p>The ring-down constant in the absence of NO<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was obtained by adding NO
(1–3 sccm of a 100 ppmv mixture NO in N<inline-formula><mml:math id="M286" 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> every 40 points of
measurement for approximately 15 s. Titration with NO took place at the
inlet of the T-shaped glass cavity, giving the gas mixture sufficient time to
react with NO<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mi>L</mml:mi><mml:mo>/</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:math></inline-formula> ratio (the ratio of the distance
between the cavity mirrors, <inline-formula><mml:math id="M289" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>, and the length of the
cavity that is filled by absorber, <inline-formula><mml:math id="M290" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>) was determined as described
previously (Schuster et al., 2009; Crowley et al., 2010) and was <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.01</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula>. Values of <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in dry zero air at 760 Torr were
usually between 140 and 160 <inline-formula><mml:math id="M293" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>s, indicating optical path lengths of
<inline-formula><mml:math id="M294" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 42–48 km. When operated at a flow of 3000 sccm, the noise levels
on 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> signal are such that the precision (3 s integration interval)
is better than 1 pptv. As we describe later, the NO<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity is
derived from measurements of the relative change in the 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> mixing
ratio, so that the precision rather than total uncertainty in the NO<inline-formula><mml:math id="M298" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
mixing ratio defines the accuracy of the reactivity measurement.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <?xmltex \opttitle{Flow tube for NO${}_{{3}}$ reactivity measurement}?><title>Flow tube for 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> reactivity measurement</title>
      <p>The flow tube, thermostated to 20 <inline-formula><mml:math id="M300" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C by flowing water through an
outer jacket, is an FEP-coated glass tube of length 50 cm and internal
diameter 4 cm. Gas enters the flow tube at one end via a conical section
with a <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> in. (<inline-formula><mml:math id="M302" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 9.5 mm) glass fitting through which
<inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> in. (<inline-formula><mml:math id="M304" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 6.4 mm) PFA tubing could be inserted. The
total flow through the flow tube was 3300 sccm, consisting of 400 sccm from
the darkened reactor and 2900 sccm zero air/ambient air. The flow and
pressures indicated above result in a Reynolds number of <inline-formula><mml:math id="M305" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 123
(i.e., laminar flow) in the cylindrical part of the flow tube, but with an
entrance length (Le) to acquire laminar flow of 27 cm, indicating that the
flow tube operates in a mixed turbulent/laminar flow regime.
            <disp-formula id="Ch1.E10" content-type="numbered"><mml:math id="M306" display="block"><mml:mrow><mml:mi mathvariant="normal">Le</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.112</mml:mn><mml:mi>r</mml:mi><mml:mtext mathvariant="italic">Re</mml:mtext></mml:mrow></mml:math></disp-formula>
          Gases exit the flow tube via a length of <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> in. PFA tubing supported in an
axially centered stainless steel tube (length 50 cm, diameter <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> in.) which could be translated along the major flow-tube axis, thus changing
the contact (reaction) time between NO<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and any reactive species or the
flow-tube wall. In principal, this enables the dynamic range of the
measurement to be adjusted (i.e., long contact times for low reactivity,
short contact times for high reactivity) though we found that
reactivity-dependent dilution of the ambient air was a better method to
extend the dynamic range to high reactivities as very short reaction times
were not possible due to a finite residence time in the CRDS detection
system and to mixing effects in the flow tube. In order to prevent
formation of a “dead volume” at the back of the flow tube beyond the tip
of the outlet, 400 sccm was removed via a critical orifice to the exhaust
pump. During measurement of NO<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> reactivity the extraction point was
usually set for a reaction time of about 10.5 s, which was determined as
described below.</p>
      <p>As described later, to derive the NO<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity we compare its
concentration in zero air to that in ambient air samples. We found that when
switching between sampling ambient air and dry zero air, the resulting
change in relative humidity caused an abrupt change in NO<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, which then
slowly recovered towards its original value. Measurement of the wall loss
rate of NO<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in dry and humidified zero air by moving the injector (see
below) revealed no substantial difference and we conclude that the change in
NO<inline-formula><mml:math id="M314" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is due to wall loss at the point of mixing of NO<inline-formula><mml:math id="M315" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> flows and
the zero-air flow, which is very turbulent. In order to eliminate data loss
while waiting for signals to stabilize following zeroing, we humidify the
zero air to the same absolute humidity (<inline-formula><mml:math id="M316" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 %) as ambient. To do
this, the ambient relative humidity was monitored by passing 100 sccm air
over a sensor that recorded both temperature and relative humidity. The
zero air was humidified by directing a variable fraction of the (constant)
total flow through a 2 L gas wash bottle filled with HPLC-grade water. The
relative humidity of the resulting mixture was matched to ambient levels by
dynamic adjustment of the fractional flow passing through the wash bottle.
The zero air used for purging the mirrors as well that used for 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>
generation was not humidified.</p>
      <p>In order to ensure that air from the zero-air generator was free of reactive
gases that survived the catalytic purification process, we compared it to
hydrocarbon-free, bottled synthetic air (Westfalen). No change in the
concentration of [NO<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] could be observed when switching between
zero air and bottled air, indicating that the zero-air generator was
suitable. However, poisoning of the catalyst of the zero-air generator by
amines, sulfides or thiols or contamination of the filters could
potentially become problematic when using compressed, highly polluted
ambient air.</p>
<sec id="Ch1.S2.SS3.SSSx1" specific-use="unnumbered">
  <?xmltex \opttitle{Derivation of the effective reaction time and wall loss rate constant
for NO${}_{{3}}$}?><title>Derivation of the effective reaction time and wall loss rate constant
for NO<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p>In flow tubes where radial, diffusive mixing of gases is rapid (i.e., at low
pressures of He and “plug-flow” conditions), the effective reaction time
can be close to that calculated from the volumetric flow rate once axial
diffusion is accounted for (Howard, 1979). At higher pressures and
laminar flow, reactions times are defined by the parabolic velocity
distribution and extent of radial mixing whereas high-pressure flow tubes
operated under turbulent conditions (Reynold numbers &gt; 3000)
plug flow can be achieved (Seeley et al., 1993; Donahue et al., 1996).
According to the calculations of Reynolds numbers outlined above, our
flow tube is not operated in either a pure laminar or turbulent regime,
which can make accurate calculation of the reaction time difficult. Using
the volumetric flow rate and flow-tube diameter, we calculate an average,
linear velocity of the gas of 4.78 cm s<inline-formula><mml:math id="M320" 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 760 Torr and 298 K in the
cylindrical section of the flow tube. This enables us to calculate the
injector-position-dependent reaction time in the flow tube, which for 45 cm
is 9.5 s. This should be regarded as an initial estimate of the true
reaction time as it does not consider the non-cylindrical section of the
flow tube (2.5 % of total volume), the radial distribution of velocities
in the flow tube or mixing effects. A further additional 1.6 s must be added
to this to take the average reaction time in the cavity into account
(calculated from the cavity volume and the flow rate), resulting in an
approximate, total reaction time of 11.1 s.</p>
      <p>A further method to derive an “effective” or averaged reaction time is to
add a short pulse of gas to the flow tube and monitor its arrival time at
the detector. However, as NO<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> cannot be easily stored, we instead add a
pulse of a reactant that removes 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>. A syringe was therefore used to
add a short pulse (0.1 cm<inline-formula><mml:math id="M323" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> in &lt; 0.5 s) of NO diluted in
N<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (0.22 ppbv) to the flow tube at the T-piece where the 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>
source and zero air are mixed.</p>
      <p>The resultant depletion in the NO<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> signal (measured at a time resolution
of 0.35 s) displayed an inverted Gaussian form with an elongated flank after
the minimum (Fig. 3) which can be attributed to non-isothermal effects,
secondary flows and recirculation processes in the flow tube (Huang et al.,
2017), which require fluid dynamics simulations to be fully characterized. The
average reaction time, <inline-formula><mml:math id="M327" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>, can however be derived from
              <disp-formula id="Ch1.E11" content-type="numbered"><mml:math id="M328" display="block"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:msub><mml:mi>t</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the signal recorded at each time step <inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p>In total, 25 experiments were conducted, resulting in an effective reaction
time of <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> s determined via Eq. (4). The two methods
outlined above thus provide approximate values for the reaction time which
are in good agreement (&lt; 3 % deviation).</p>
      <p>As the reaction time is a central parameter for calculating the NO<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
reactivity, a third method was employed, in which a known amount of NO was
added at the usual mixing point and the depletion in NO<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> observed. As
the rate constant for reaction of NO with NO<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is known with an
uncertainty (at room temperature) of 13 %, this should enable derivation
of an effective reaction time that also takes all mixing effects (both in
the flow tube and cavity) into account. In a series of experiments, known
amounts NO were added to the 2900 sccm flow of zero air (via a calibrated
mass flow controller) at the usual mixing point. In the absence of other
processes which remove or form NO<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>, its change in concentration upon
adding NO is described by</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Derivation of effective reaction time by addition of a pulse (at <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">26</mml:mn></mml:mrow></mml:math></inline-formula> s) of NO using a syringe. The subsequent depletion in the NO<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
signal was analyzed using Eq. (4).</p></caption>
            <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f03.png"/>

          </fig>

      <p><disp-formula id="Ch1.E12" content-type="numbered"><mml:math id="M338" display="block"><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">3</mml:mn></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><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:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msup><mml:mi>exp⁡</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</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:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><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">2</mml:mn></mml:msub><mml:mo>]</mml:mo></mml:mfenced><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where [NO<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:math></inline-formula> and [NO<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mi>t</mml:mi></mml:msub></mml:math></inline-formula> are the concentrations of
NO<inline-formula><mml:math id="M343" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> before and after addition of NO, respectively. <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the rate constants for reaction of NO<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with NO and
NO<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, respectively, at the flow-tube/cavity temperature,
<inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the rate constant (s<inline-formula><mml:math id="M349" 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> for loss of NO<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at the
flow-tube walls and <inline-formula><mml:math id="M351" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is the desired parameter. Rearranging, we get
the simple Eq. (6), which shows that a plot of ln([NO<inline-formula><mml:math id="M352" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>t</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
versus [NO] should yield a slope of <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>, from which
<inline-formula><mml:math id="M355" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> can be derived using an evaluated and recommended value of
<inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Atkinson et al., 2004). Once corrected for the
contribution from <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">5</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">2</mml:mn></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>, the
intercept should, in principal, give a value of <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.
              <disp-formula id="Ch1.E13" content-type="numbered"><mml:math id="M359" display="block"><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mstyle displaystyle="true"><mml:mfrac style="display"><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">3</mml:mn></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><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">3</mml:mn></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</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:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><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">2</mml:mn></mml:msub><mml:mo>]</mml:mo></mml:mfenced><mml:mi>t</mml:mi></mml:mrow></mml:math></disp-formula>
            A plot of [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>]<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mi>t</mml:mi></mml:msub></mml:math></inline-formula> versus [NO] is displayed in Fig. 4a for three
different amounts of added NO<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Although the curves follow roughly
exponential behavior as expected, the slopes and thus the value of
<inline-formula><mml:math id="M363" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> obtained were found to depend on the initial NO<inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration, with values of 5.7, 5.1 and 4.5 s obtained for NO<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>
mixing ratios of 2.94, 5.88 and 8.82 ppbv, respectively. This indicates that
the kinetics of NO<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation and loss are more complex than defined by
Eq. (6) and the relative rates of reaction of NO<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with NO (Reaction R2)
and NO<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Reaction R3) and its formation via 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:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> decomposition (Reaction R4)
and reaction of O<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> with NO<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> (Reaction R1) in the flow tube all impact
the NO<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio. In Fig. 4b we display the results of a similar
experiment in which NO<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> as added. In this case, there is obvious
curvature in the plot of [NO<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mi>t</mml:mi></mml:msub></mml:math></inline-formula> versus [NO<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>], which is not
predicted by Eq. (5). The decomposition of 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> formed by
Reaction (R3) as well as oxidation of NO<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by O<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> (Reaction R1, see Sect. 3) both lead to the formation of NO<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and are the causes of this
behavior, especially at high [NO<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>] and low [NO]. At the flow-tube and
cavity temperature (circa 298 K), the rate constant for decomposition of
N<inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (k<inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.4</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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M388" 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> (Atkinson et al.,
2004).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Characterization of the flow tube by numerical simulation of the
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> change following addition of NO and NO<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at different mixing
ratios. The symbols are measured 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> mixing ratios; the lines are the
results of numerical simulations.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f04.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>FACSIMILE<inline-formula><mml:math id="M392" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> simulations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M395" 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>O<inline-formula><mml:math id="M396" 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="M397" 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> O<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.52</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="M400" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<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> s<inline-formula><mml:math id="M402" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M404" 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="M405" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> 2NO<inline-formula><mml:math id="M406" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.60</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">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M408" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M409" 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> s<inline-formula><mml:math id="M410" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M412" 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="M413" 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> M <inline-formula><mml:math id="M414" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> N<inline-formula><mml:math id="M415" 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="M416" 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> M</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.24</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">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M418" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M419" 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> 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></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">N<inline-formula><mml:math id="M422" 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="M423" 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> M <inline-formula><mml:math id="M424" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M425" 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="M426" 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</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.44</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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M428" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M429" 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> s<inline-formula><mml:math id="M430" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M432" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>O<inline-formula><mml:math id="M433" 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="M434" 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> O<inline-formula><mml:math id="M435" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.89</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">14</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M437" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M438" 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> s<inline-formula><mml:math id="M439" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M441" 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> wall <inline-formula><mml:math id="M442" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M443" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M445" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">variable/fitted</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math id="M393" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> For all simulations FACSIMILE/CHEKMAT (release H010
date 28 April 1987 version 1) was used. The rate constants (<inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> listed
were taken from the IUPAC recommendations (Atkinson et al., 2004; IUPAC,
2016) at 298 K and 1 bar.</p></table-wrap-foot></table-wrap>

      <p>Extraction of the reaction time thus required numerical simulation of the
data obtained by adding various amounts of NO to the flow tube in the
presence of different NO<inline-formula><mml:math id="M449" 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="M450" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The impact of
Reactions (R2), (R3) and (R4) was assessed by numerical simulations using
FACSIMILE (Curtis and Sweetenham, 1987) and considering the reactions
listed in Table 1. The input parameters for the simulations were the
concentrations of NO, NO<inline-formula><mml:math id="M451" 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="M452" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and the rate constants, which
were taken from IUPAC recommendations (Atkinson et al., 2004). The total
reaction time (<inline-formula><mml:math id="M453" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>) and the wall loss rate constant for NO<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
(<inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were adjusted until each of the six data sets could be
reproduced with a single value for each parameter. The initial concentration
of [NO<inline-formula><mml:math id="M456" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:math></inline-formula> was allowed to float until best agreement was
achieved. This way, the reaction time was determined to be 10.5 s, which is
in good agreement with that derived by pulsed addition of NO. As our
reactivity derivation relies on the change in NO<inline-formula><mml:math id="M458" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> signal upon adding a
reactant to the flow tube, we consider the value of 10.5 s, which takes
mixing, diffusion, etc. into account, to be the most appropriate value but
assign an uncertainty (<inline-formula><mml:math id="M459" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 s) that overlaps with the other methods.
The wall loss rate of NO<inline-formula><mml:math id="M460" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (which is independent of the NO and NO<inline-formula><mml:math id="M461" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations) was found to be <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M463" 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>
      <p>For analysis of ambient reactivity we use a reaction time of 10.5 s as
derived from the addition of NO. This means that our ambient reactivities
are directly tied to the rate constant for reaction between 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 NO.
As described later, during ambient measurements we periodically add a known
amount of NO to the zero air to monitor a known reactivity under real
operating conditions.</p>
      <p>Figure 5a and b show the correlation between simulated and measured
NO<inline-formula><mml:math id="M465" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in these experiments. In both cases the slope is
close to unity (0.97–1.02) with an intercept close to zero. A set of similar
experiments performed at 30 and 80 % humidity also showed excellent
agreement using the same values of <inline-formula><mml:math id="M466" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. We
conclude that the behavior of NO<inline-formula><mml:math id="M468" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in this system can be very
accurately predicted by numerical simulations using a simple reaction scheme
under a variety of conditions (initial NO<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO and NO<inline-formula><mml:math id="M470" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> varied),
giving us confidence in our ability to extract loss rates for NO<inline-formula><mml:math id="M471" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in
ambient air.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p><bold>(a)</bold> Measured versus simulated NO<inline-formula><mml:math id="M472" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> for different
amounts of added NO (67, 134, 201, 268, 402 pptv) and at three different
mixing ratios of NO<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. <bold>(b)</bold> Measured versus simulated NO<inline-formula><mml:math id="M474" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
(initially 77, 128 or 249 pptv) at different amounts (1.5, 3, 4.5, 6 ppbv)
of added [NO<inline-formula><mml:math id="M475" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]. The solid lines represent 1 : 1 correlation.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f05.png"/>

          </fig>

      <p>When gas-phase reactivity is low, a substantial fraction of NO<inline-formula><mml:math id="M476" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> may be
lost via collisions with the walls rather than due to reactive gases. For
this reason, we remeasured the value of <inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> obtained above in
a further set of experiments in which the NO<inline-formula><mml:math id="M478" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration was
measured as a function of injector position (contact time in the flow tube)
at a constant initial mixing ratio of NO<inline-formula><mml:math id="M479" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<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> and in the
absence of NO. For this we calculate the reaction time for each of the three
injector positions from pulsed addition of NO as described above, but
normalized to the reaction time derived from addition of NO with numerical
simulation. The results of such an experiment are displayed in Fig. 6 and we
draw attention to the fact that, even at maximum reaction time (10.5 s), the
change in the NO<inline-formula><mml:math id="M481" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration is only about 10 %. This reflects
the low efficiency of reaction of NO<inline-formula><mml:math id="M482" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with the FEP-coated glass walls.
Similar experiments performed before and after the NOTOMO campaign (NOcturnal chemistry at the
Taunus Observatorium: insights into Mechanisms of Oxidation)  (see
below) indicated that the FEP coating did not degrade significantly
following sampling of filtered, ambient air. The numerical simulation was
initialized with the same set of rate parameters described above, a fixed
NO<inline-formula><mml:math id="M483" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration and only <inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the initial NO<inline-formula><mml:math id="M485" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentration were varied. The best fit was obtained when <inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
was <inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M488" 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>, in agreement with the simulations at
fixed time and variable NO and NO<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>. Using Eq. (7) where
<inline-formula><mml:math id="M490" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> is the flow-tube radius, <inline-formula><mml:math id="M491" display="inline"><mml:mover accent="true"><mml:mi>c</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> the mean molecular speed and
which assumes laminar flow and no diffusive limitation to uptake, this value
of <inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be converted to an approximate uptake coefficient
for NO<inline-formula><mml:math id="M493" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to the FEP-coated tube of <inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">5</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">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.
              <disp-formula id="Ch1.E14" content-type="numbered"><mml:math id="M495" display="block"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>r</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow><mml:mover accent="true"><mml:mi>c</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Determination of the NO<inline-formula><mml:math id="M496" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> wall loss constant by variation of the
reaction time (injector position). The simulation indicates a wall loss
constant of <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.004</mml:mn></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M498" 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></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f06.png"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <?xmltex \opttitle{Data analysis and derivation of NO${}_{{3}}$ reactivity}?><title>Data analysis and derivation of NO<inline-formula><mml:math id="M499" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity</title>
      <p>We first consider the passage of NO<inline-formula><mml:math id="M500" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> through the flow tube in a flow of
zero air. If NO<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is lost in one or more pseudo-first-order processes,
its decay should be exponential and its concentration,
<inline-formula><mml:math id="M502" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
after a reaction time <inline-formula><mml:math id="M503" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>, is given by Eq. (8).
          <disp-formula id="Ch1.E15" content-type="numbered"><mml:math id="M504" display="block"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup><mml:mo>=</mml:mo><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:msubsup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup><mml:msup><mml:mi>exp⁡</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msub><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        where ZA refers to use of zero air. As NO<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is lost
only via reaction with NO<inline-formula><mml:math id="M506" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and to the wall,
<inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">wall</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, where
<inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the first-order loss rate constant for wall loss and
<inline-formula><mml:math id="M509" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the first-order loss rate constant for reaction with
NO<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 is equal to <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>[NO<inline-formula><mml:math id="M512" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]. When zero air is
switched for ambient air containing reactive trace gases, we have
          <disp-formula id="Ch1.E16" content-type="numbered"><mml:math id="M513" display="block"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup><mml:mo>=</mml:mo><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:msubsup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup><mml:msup><mml:mi>exp⁡</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msub><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        where
<inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the first-order loss rate constant for reaction of
NO<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with trace gases present in ambient air other than NO<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>.</p>
      <p>If [NO<inline-formula><mml:math id="M518" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and [NO<inline-formula><mml:math id="M520" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> are equivalent,
Eq. 10 is obtained.
          <disp-formula id="Ch1.E17" content-type="numbered"><mml:math id="M522" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:msup><mml:mi>exp⁡</mml:mi><mml:mrow><mml:mfenced close=")" open="("><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msub><mml:mi>t</mml:mi></mml:mfenced></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:msup><mml:mi>exp⁡</mml:mi><mml:mrow><mml:mfenced close=")" open="("><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msub><mml:mi>t</mml:mi></mml:mfenced></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
        Rearranging and substituting for <inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
leads to
          <disp-formula id="Ch1.E18" content-type="numbered"><mml:math id="M525" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow><mml:mi>t</mml:mi></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        where <inline-formula><mml:math id="M526" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> is the 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> lifetime. In principal, it should thus be
possible to calculate the reactivity of NO<inline-formula><mml:math id="M528" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in ambient air by measuring
<inline-formula><mml:math id="M529" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M530" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and knowing the reaction time <inline-formula><mml:math id="M531" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>. Later we discuss the
applicability of this expression and show that corrections are necessary to
take the reformation of NO<inline-formula><mml:math id="M532" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> into account, especially when dealing with
air masses with high NO<inline-formula><mml:math id="M533" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> content. This is similar to the laboratory
experiments described above and required numerical simulation, which we
present below.</p>
      <p>The concentration of NO<inline-formula><mml:math id="M534" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in zero air measured when the injector is
positioned for maximum reaction time,
<inline-formula><mml:math id="M535" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>,
was measured by flushing the inlet with 3000 sccm zero air creating an
overflow of <inline-formula><mml:math id="M536" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 100 sccm. When switching to ambient measurements, the
zero-air overflow was redirected via a flow controller (F<inline-formula><mml:math id="M537" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in Fig. 2)
that connected the zero-air overflow line to the exhaust and which was set
to 3500 sccm. This setup has the advantage of enabling dynamic dilution of
ambient air. If the reactivity is so high that the NO<inline-formula><mml:math id="M538" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels
approached the detection limit, F<inline-formula><mml:math id="M539" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> does not withdraw the entire 3500 sccm overflow but allows, e.g., 2000 sccm to be added to the inlet, resulting
in sampling 900 sccm of ambient air plus 2000 sccm of zero air, a dilution
factor of 2900/900 which is slightly increased by the 400 sccm flow from the
darkened reactor. A five-point dynamic dilution with zero air is implemented
in the software, which changes the set point for F<inline-formula><mml:math id="M540" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and dilutes the
ambient air with zero air if [NO<inline-formula><mml:math id="M541" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>t</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> decreases below 10 pptv for a time period of 30 s. Conversely, the dilution can be decreased
again if [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>]<inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>t</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> becomes <inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:mo>≥</mml:mo><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:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ppt.
Dilution factors (<inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were determined using a Gilibrator flow meter
(Gilian Gilibrator-2) and were <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.14</mml:mn></mml:mrow></mml:math></inline-formula> for the measurement of pure
ambient air (here the small dilution effect is caused by the 400 sccm
zero air used in the production of NO<inline-formula><mml:math id="M548" 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>, <inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.74</mml:mn></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.71</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.98</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">14.07</mml:mn></mml:mrow></mml:math></inline-formula> when diluting ambient air.
With increasing dilution, errors in the measurement will increase as well
(see Sect. 5).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Influence 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> formation and decomposition in the
flow tube. <bold>(a)</bold> Simulated (red, blue and green) mixing ratio of
NO<inline-formula><mml:math id="M555" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> versus added NO<inline-formula><mml:math id="M556" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at a reaction time of 10.5 s at various
temperatures and thus thermal decomposition rates of N<inline-formula><mml:math id="M557" 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="M558" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. The
simple exponential decay of NO<inline-formula><mml:math id="M559" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Eq. 9) is given by the black
line. <bold>(b)</bold> Effect of NO<inline-formula><mml:math id="M560" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> level on the ratio of true
reactivity/reactivity calculated from Eq. (8) for different loss rate
constants for NO<inline-formula><mml:math id="M561" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reacting with reactive traces gases.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f07.png"/>

      </fig>

      <p>The analytical expression given above to derive the NO<inline-formula><mml:math id="M562" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity is
an ideal case in which NO<inline-formula><mml:math id="M563" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is lost by a number of first-order processes
and is not formed in the flow tube to a significant extent. However, as we
already demonstrated in the laboratory experiments to examine the effects of
varying NO, NO<inline-formula><mml:math id="M564" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and 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> concentrations, the formation 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> in the reaction of NO<inline-formula><mml:math id="M568" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with NO<inline-formula><mml:math id="M569" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Reaction R3) and its
thermal decomposition back to NO<inline-formula><mml:math id="M570" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can impact  the NO<inline-formula><mml:math id="M571" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentration as NO<inline-formula><mml:math id="M572" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is present both in the mixture used to generate
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> and 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  in ambient air. While the formation of
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> from NO<inline-formula><mml:math id="M578" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M579" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Reaction R2) is, to a good
approximation, independent of temperature between about 280 and 305 K, the
rate constant for thermal decomposition of N<inline-formula><mml:math id="M580" 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="M581" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Reaction R3) varies by a
factor of 26 over the same temperature range. The simple, analytical
approach outlined above thus fails at temperatures where the decomposition
of 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> is important and when sufficient NO<inline-formula><mml:math id="M584" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is present to
account for a significant fraction of the loss of NO<inline-formula><mml:math id="M585" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. This is
illustrated in Fig. 7a, in which simulations of the NO<inline-formula><mml:math id="M586" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration
at a reaction time of 10.5 s and at different temperatures and amounts of
NO<inline-formula><mml:math id="M587" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (as reactant) are displayed and compared with the simple
exponential behavior (black data points) calculated from Eq. (11).
The simulations show that the dependence of the 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> concentration on
NO<inline-formula><mml:math id="M589" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is non-exponential, indicating that regeneration of NO<inline-formula><mml:math id="M590" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from
the N<inline-formula><mml:math id="M591" 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="M592" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> formed is significant, especially at higher temperatures.
Figure 7b plots the ratio of the true reactivity (i.e., that used as input
into the numerical simulation) versus that obtained by analyzing the
simultaneous change in NO<inline-formula><mml:math id="M593" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration using Eq. (11). It is
evident that the use of this expression generally results in underestimation
of the true reactivity due to the formation and decomposition of
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:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. The bias will be largest when sampling polluted air
where the reactivity has a large component due to NO<inline-formula><mml:math id="M596" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and small under
conditions of low NO<inline-formula><mml:math id="M597" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and high <inline-formula><mml:math id="M598" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> typical for remote,
forested areas. However, as previously mentioned, the decomposition of
N<inline-formula><mml:math id="M599" 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="M600" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is strongly temperature dependent so that the bias will
increase with rising temperature and decrease with sinking flow-tube
temperature.</p>
      <p>Apart from the formation and thermal dissociation of 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>, the
reaction of NO<inline-formula><mml:math id="M603" 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="M604" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> may, under some conditions, represent a
further potential source of NO<inline-formula><mml:math id="M605" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the flow tube despite the low rate
constant for Reaction (R1). Due to the in situ method of production of N<inline-formula><mml:math id="M606" 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="M607" 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="M608" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the dark reactor, NO<inline-formula><mml:math id="M609" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (0.6–3 ppbv) and O<inline-formula><mml:math id="M610" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (40–50 ppbv) are always present in the flow tube. NO<inline-formula><mml:math id="M611" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> generated in the
flow tube was therefore simulated for different amounts of O<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> and
NO<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> corresponding to the minimum and maximum mixing ratios used in our
experiments. Figure 8 indicates that with 50 ppbv of O<inline-formula><mml:math id="M614" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and 2 ppbv
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>, &lt; 0.5 pptv of NO<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> is formed in the 10.5 s available
for reaction in the flow tube, which would not strongly impact the
results if the analytical expressions above were used to derive 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>
reactivity. Under highly polluted conditions (e.g., 100 ppbv O<inline-formula><mml:math id="M618" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and 20 ppbv NO<inline-formula><mml:math id="M619" 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> the effect is, however, measurable (&gt; 2 pptv).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Simulated 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> production in the flow tube at different O<inline-formula><mml:math id="M621" 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="M622" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios at a fixed reaction time of 10.5 s.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f08.png"/>

      </fig>

      <p>The discussion above indicates that the use of Eq. (11) can, under
certain circumstances (e.g., low NO<inline-formula><mml:math id="M623" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, high NO<inline-formula><mml:math id="M624" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity to VOCs),
give a reasonable representation of the NO<inline-formula><mml:math id="M625" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity. However, in
order to be able to derive NO<inline-formula><mml:math id="M626" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivities from any air mass we use
numerical simulation take NO<inline-formula><mml:math id="M627" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reformation into account and enable
extraction of accurate values in any conditions.</p>
<sec id="Ch1.S3.SSx1" specific-use="unnumbered">
  <title>Numerical simulations for extraction of ambient reactivity</title>
      <p>In this section we outline the experimental procedure and the
associated data analysis for extracting the 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> reactivity from an
ambient data set as exemplified by the data shown in Fig. 9. These data cover
a 1 h period in which several phases of inlet overfilling with humidified
zero air and titration with NO are apparent as are periods of mixing 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>
with ambient air. The data set has already been corrected for baseline drift
in the NO<inline-formula><mml:math id="M630" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> zero during titration, and hence each titration-zero is scattered
around 0 pptv NO<inline-formula><mml:math id="M631" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Raw data showing the change in NO<inline-formula><mml:math id="M632" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (10.5 s reaction time)
between zero air (ZA, periods marked with red brackets) and ambient air
(Ambient, blue brackets). The figure also shows periods of titration of
NO<inline-formula><mml:math id="M633" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with NO (<inline-formula><mml:math id="M634" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 2 min intervals), a change in the dilution
factor from 4 to 3 (at <inline-formula><mml:math id="M635" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 07:33 UTC)
and an in situ reactivity calibration (at <inline-formula><mml:math id="M636" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 07:07). The “skip”
periods are those in which data are not analyzed due to switching from
ambient air to zero air and vice versa.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f09.png"/>

        </fig>

      <p>The periods marked “ZA” (zero air) were used to extract the NO<inline-formula><mml:math id="M637" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentration after a residence time of 10.5 s in flow tube in the absence
of ambient reactive trace gases. The data show that a plateau in the
NO<inline-formula><mml:math id="M638" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> signal with zero air is observed after about two–three titration cycles
are complete, which is the result of slow flushing through the inlet of
reactive gases, which have extended surface residence times on the inlet
material and fittings. Once a stable signal is acquired,
<inline-formula><mml:math id="M639" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10.5</mml:mn></mml:mrow><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> can be taken as an
average value for each 300s zero-air phase. These values are then used to
calculate the initial NO<inline-formula><mml:math id="M640" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration
<inline-formula><mml:math id="M641" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, i.e., before NO<inline-formula><mml:math id="M642" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
enters the flow tube. This was done in an iterative procedure using
numerical simulation with FACSIMILE embedded in a separate program. Input
values are the O<inline-formula><mml:math id="M643" 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="M644" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration (from the darkened
reactor), a first estimate for
<inline-formula><mml:math id="M645" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and the rate
coefficients for the NO<inline-formula><mml:math id="M646" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactions listed in Table 1. At the end of the
simulation (a few seconds of computing time) the simulated and measured
values of <inline-formula><mml:math id="M647" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10.5</mml:mn></mml:mrow><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> are
compared and the ratio used to adjust the next input value for
<inline-formula><mml:math id="M648" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. The iteration
continued until convergence was reached. Convergence was considered
satisfactory when the deviation between measured and simulated values of
<inline-formula><mml:math id="M649" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10.5</mml:mn></mml:mrow><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was less <inline-formula><mml:math id="M650" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 1 %. This usually took only 5 simulations per data point as the initial
value for each new time point was chosen to be the final value for the
preceding time point. Ideally,
<inline-formula><mml:math id="M651" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> should be constant over
long periods of time. In fact, deviations of several pptv, especially during
field measurements, were observed over periods of hours and so values of
<inline-formula><mml:math id="M652" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> were linearly
interpolated to each time point in which ambient reactivity was recorded.</p>
      <p>Once initial NO<inline-formula><mml:math id="M653" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations had thus been obtained a new set of
simulations was started to simulate the measured values of
<inline-formula><mml:math id="M654" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10.5</mml:mn></mml:mrow><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. In this case, the simulation was
initialized with the values of <inline-formula><mml:math id="M655" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> obtained
as described above and the total NO<inline-formula><mml:math id="M656" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration and O<inline-formula><mml:math id="M657" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations, which contained a constant contribution from the dark reactor
and a variable concentration from ambient NO<inline-formula><mml:math id="M658" 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="M659" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> once corrected
by the dilution factor (see above). An initial estimate of the total NO<inline-formula><mml:math id="M660" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
reactivity, <inline-formula><mml:math id="M661" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, was made and the simulated value of
<inline-formula><mml:math id="M662" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10.5</mml:mn></mml:mrow><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> compared to that measured. The
simulation was iterated, with incremental adjustment of <inline-formula><mml:math id="M663" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
until agreement between  simulation and observation was <inline-formula><mml:math id="M664" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 1 %. For ambient data sets,
in which the reactivity can be highly variable, this sometimes took several
iterations, though as each simulation took less than a second this is not a
particularly time-consuming procedure.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Reactivity of an isoprene standard</title>
      <p>To validate our experimental and analytical procedure, we performed
reactivity measurements on a bottled isoprene standard (<inline-formula><mml:math id="M665" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.933</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> ppmv, Westfalen), diluted in zero air. Isoprene was chosen as it is an
important biogenic reactant for NO<inline-formula><mml:math id="M666" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the troposphere and also because
the rate coefficient, <inline-formula><mml:math id="M667" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">isoprene</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, for its reaction with
NO<inline-formula><mml:math id="M668" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> has been studied on many occasions (Atkinson et al., 2006; IUPAC,
2016) and therefore has a low associated uncertainty
(<inline-formula><mml:math id="M669" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">isoprene</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</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">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M670" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M671" 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> s<inline-formula><mml:math id="M672" 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 298 K).</p>
      <p>Experiments were carried out at various isoprene and NO<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> mixing ratios
and the results are summarized in Fig. 10, which indicates excellent
agreement between the measured reactivity and that calculated from the
isoprene mixing ratio and rate coefficient, the slope of an unweighted fit
being <inline-formula><mml:math id="M674" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.00</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula>. The error bars on the calculated reactivity
represent total uncertainty in the isoprene and NO<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> mixing ratio, the
reaction time and the rate coefficient. These results confirm that the
instrument and data analysis procedure measure accurate values of NO<inline-formula><mml:math id="M676" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
reactivity in the presence of NO<inline-formula><mml:math id="M677" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and organic reactants.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Verification of the experimental procedure by addition of isoprene
at different NO<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> mixing ratios. The known reactivity was calculated from
the isoprene mixing ratio (1.5–6 ppbv) and the rate coefficient for
reaction of isoprene with NO<inline-formula><mml:math id="M679" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Experiments were performed in dry
zero air. The error bars in the simulation are due to uncertainties in
[isoprene] and [NO<inline-formula><mml:math id="M680" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>] (both 5 %) and the reaction time (10 %).</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f10.png"/>

      </fig>

</sec>
<sec id="Ch1.S5">
  <title>Detection limit, dynamic range and overall uncertainty</title>
      <p>While the overall uncertainty associated with absolute NO<inline-formula><mml:math id="M681" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentration measurement are influenced by factors such as uncertainty in
the cross section as well as in the measurement of the laser emission
spectrum, the fractional change in concentration used to derive the NO<inline-formula><mml:math id="M682" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
reactivity is not impacted. The detection limit for measuring NO<inline-formula><mml:math id="M683" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
reactivity is defined by the minimal detectable change (MDC<inline-formula><mml:math id="M684" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><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:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the
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> mixing ratio. This depends on noise levels and drift in
ring-down time, i.e., on the precision of the NO<inline-formula><mml:math id="M686" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> signal and also on the
stability of the synthetically generated NO<inline-formula><mml:math id="M687" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The instrumental noise on
the NO<inline-formula><mml:math id="M688" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> signal was reduced by averaging over <inline-formula><mml:math id="M689" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 3 s per
data point (<inline-formula><mml:math id="M690" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 1800 ring-down events) to give a noise-limited
detection limit (1<inline-formula><mml:math id="M691" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M692" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.2 pptv. Precision is
limited by the stability of the CRDS setup where changes in the mirror
reflectivity induced by thermal or mechanical stress can lead to a drift in
the ring-down time. The precision can be estimated from the standard
deviation of the signal from one zeroing period to the next over the
measurement period. Under typical laboratory conditions this was normally
<inline-formula><mml:math id="M693" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 0.7 pptv.</p>
      <p>Since <inline-formula><mml:math id="M694" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is interpolated onto the measured
<inline-formula><mml:math id="M695" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> time series to calculate the reactivity,
the stability of the NO<inline-formula><mml:math id="M696" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> source is of great importance. Changes in the
amount of synthetically generated NO<inline-formula><mml:math id="M697" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are caused by fluctuations in the
temperature or pressure of the dark reactor, the flow of NO<inline-formula><mml:math id="M698" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and changes
in the intensity of light from the O<inline-formula><mml:math id="M699" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> generator. In general, the poorer
the stability of the NO<inline-formula><mml:math id="M700" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> source chemistry, the more frequently the
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> mixing ratio in zero air has to be measured. In laboratory
conditions, changes of <inline-formula><mml:math id="M702" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 pptv within 1 h were typical, making
<inline-formula><mml:math id="M703" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> measurements every 1200 s more than
sufficient. In field conditions, where the instrument housing may be subject
to larger temperature fluctuations, more frequent determination of
<inline-formula><mml:math id="M704" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> may be necessary. The NO<inline-formula><mml:math id="M705" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> source
stability was obtained from the standard deviation of the averaged
<inline-formula><mml:math id="M706" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations and propagating this with
the standard deviation of two consecutive <inline-formula><mml:math id="M707" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
measurements, for which typical values in laboratory conditions were <inline-formula><mml:math id="M708" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 1 ppt. To define an overall, minimal detectable change in NO<inline-formula><mml:math id="M709" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
(MDC<inline-formula><mml:math id="M710" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><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:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the noise- and drift-limited precision was combined
with the 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> source stability to result in MDC<inline-formula><mml:math id="M712" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><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:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> pptv.</p>
      <p>An MDC<inline-formula><mml:math id="M713" display="inline"><mml:msub><mml:mi/><mml:mrow><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:mrow></mml:msub></mml:math></inline-formula> of 2.5 pptv results in a lower limit for the measurement 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> reactivity of 0.005 s<inline-formula><mml:math id="M715" 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> (obtained from Eq. 11 with
<inline-formula><mml:math id="M716" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> pptv and
<inline-formula><mml:math id="M717" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup><mml:mo>=</mml:mo><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:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">ZA</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">MDC</mml:mi><mml:mrow><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:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">47.5</mml:mn></mml:mrow></mml:math></inline-formula> pptv, at the lowest dilution factor of
1.14). An upper limit for the measurable reactivity is 45 s<inline-formula><mml:math id="M718" 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>, largely
defined by the uncertainty of the dilution factor. Dilution factors were
obtained by measurements of the actual flows going into the flow tube using
a Gilibrator flow meter (Gilian Gilibrator-2, stated accuracy <inline-formula><mml:math id="M719" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 %). The total uncertainty in the dilution factor is defined by the
accuracy of the measurement of the dilution flows as well as by the accuracy
of the flow controllers used for flow regulation (<inline-formula><mml:math id="M720" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 %) and was
calculated to be 2.5 %. The error in the calculated reactivity is lowest
for the lowest dilution but if the
<inline-formula><mml:math id="M721" display="inline"><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">3</mml:mn></mml:msub><mml:msubsup><mml:mo>]</mml:mo><mml:mi>t</mml:mi><mml:mi mathvariant="normal">Amb</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
gets close to the detection limit this will also have a strong influence on
the calculated reactivities making a higher dilution factor favorable.
Dilution factors were chosen to keep the instrument operating in a region
(10 pptv &lt; NO<inline-formula><mml:math id="M722" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> &lt; 40 pptv) where both effects are
minimized.</p>
      <p>A minimum detectable change in 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> of 2.5 pptv leads to an uncertainty
of <inline-formula><mml:math id="M724" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 15 %, when 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> varies between <inline-formula><mml:math id="M726" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 10 and
30 pptv (starting from 50 pptv in zero air). The uncertainty increases
dramatically when 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> levels are close to 50 pptv (i.e., very low
reactivity) or less than 5 pptv (very high reactivity without dilution).
This is illustrated in Fig. S1 of the Supplement. As mentioned in
Sect. 2.3 the uncertainty in the reaction time
(10 %) also contributes to the overall uncertainty.</p>
      <p>To assess the uncertainty associated with derivation of the
NO<inline-formula><mml:math id="M728" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity from numerical simulation, uncertainties associated with
the input parameters have to be considered. As previously demonstrated
(Groß et al., 2014) this is best assessed in a
Monte Carlo approach in which the key parameters are varied within a range
reflecting their uncertainty limits. The parameters that most sensitively
influence the derived value 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> reactivity are the NO<inline-formula><mml:math id="M730" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing
ratio and the rate coefficients for N<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>O<inline-formula><mml:math id="M732" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> formation
(<inline-formula><mml:math id="M733" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</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">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M734" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M735" 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> s<inline-formula><mml:math id="M736" 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> and decomposition (<inline-formula><mml:math id="M737" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M738" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M739" 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> s<inline-formula><mml:math id="M740" 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>. The rate
coefficients listed are for 1 bar and room temperature as appropriate for
the experimental conditions, the uncertainties quoted (<inline-formula><mml:math id="M741" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 10 %)
are based on assessment of kinetic data (Burkholder et
al., 2016). The Monte Carlo simulations were initiated with a NO<inline-formula><mml:math id="M742" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
mixing ratio (in zero air) of 50 pptv, decreasing to 20 pptv upon reaction
with air. In total, six sets of <inline-formula><mml:math id="M743" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 1200 simulations were carried with
variation of the initial 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> mixing ratio between 1 and 5 ppbv and the
associated error in NO<inline-formula><mml:math id="M745" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio was taken as 8 %. For any given
simulation, the output value of the NO<inline-formula><mml:math id="M746" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity (<inline-formula><mml:math id="M747" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
was stored. The 2<inline-formula><mml:math id="M748" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainty was derived from the Gaussian fits to
histograms of <inline-formula><mml:math id="M749" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (insets at NO<inline-formula><mml:math id="M750" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula>, 3.0 and 5.0
ppbv) and is plotted (as a percent of <inline-formula><mml:math id="M751" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> versus
<inline-formula><mml:math id="M752" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/NO<inline-formula><mml:math id="M753" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The latter may be considered a measure of
whether NO<inline-formula><mml:math id="M754" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reacts predominantly with NO<inline-formula><mml:math id="M755" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to form N<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>O<inline-formula><mml:math id="M757" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
(<inline-formula><mml:math id="M758" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> or with reactive trace gases. Figure 11 shows that the
uncertainty associated with the simulations is very sensitive to ambient
NO<inline-formula><mml:math id="M759" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels, varying between &gt; 100 % (at 5 ppbv NO<inline-formula><mml:math id="M760" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
and a reactivity of 0.017 s<inline-formula><mml:math id="M761" 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> and 3.1 % (at 1 ppbv NO<inline-formula><mml:math id="M762" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and a
reactivity of 0.092 s<inline-formula><mml:math id="M763" 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> of the extracted <inline-formula><mml:math id="M764" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Clearly,
the extraction of <inline-formula><mml:math id="M765" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is most accurate in conditions of low
NO<inline-formula><mml:math id="M766" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and when NO<inline-formula><mml:math id="M767" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> lifetimes are short (e.g., forested regions far
from anthropogenic activity).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Uncertainty factor (<inline-formula><mml:math id="M768" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M769" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as a function of the ratio
<inline-formula><mml:math id="M770" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> [NO<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>] as derived from Monte Carlo simulations. The
relationship (black line) is described by <inline-formula><mml:math id="M772" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M773" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.33</mml:mn><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub><mml:mo>/</mml:mo><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:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.977</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The results of three individual
sets of 1200 simulations are shown as histograms.</p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f11.png"/>

      </fig>

      <p>Another potential bias in the measurement is the temperature dependence of
the rate constant of the reactions of trace gases with NO<inline-formula><mml:math id="M774" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.
Measurements were normally conducted at 20 <inline-formula><mml:math id="M775" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in the flow tube
whilst outside temperature can differ from this. However, (unlike OH) the
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> reactions which dominate its reactivity involve addition to double
bonds (e.g., of terpenes) and are only weakly temperature dependent.
Therefore, to a good approximation, this error can generally be neglected.
To illustrate this, we consider the reaction between NO<inline-formula><mml:math id="M777" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and the
usually most abundant monoterpene, <inline-formula><mml:math id="M778" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene. The rate constant at
the flow-tube temperature (20 <inline-formula><mml:math id="M779" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) is <inline-formula><mml:math id="M780" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.4</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">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, increasing to <inline-formula><mml:math id="M781" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.0</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">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M782" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M783" 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> s<inline-formula><mml:math id="M784" 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 5 <inline-formula><mml:math id="M785" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and decreasing to
<inline-formula><mml:math id="M786" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.9</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">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M787" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M788" 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> s<inline-formula><mml:math id="M789" 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 35 <inline-formula><mml:math id="M790" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, which are changes of &lt; 10 %. Note also that for
many monoterpenes, the temperature dependence of the rate constant is not
known but expected to be weak (IUPAC,
2016).</p>
      <p>Under circumstances where the reactivity is known to be driven by reaction
with reactive trace gases for which NO<inline-formula><mml:math id="M791" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> has large temperature
dependence this error has to be taken into consideration.</p>
      <p>We now examine the potential bias caused by use of NO<inline-formula><mml:math id="M792" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations
as large as 50 pptv, which may change the reactivity of the air either by
removing a significant fraction of gas-phase reactants or via formation of
peroxy radicals (RO<inline-formula><mml:math id="M793" 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>, which may also react with NO<inline-formula><mml:math id="M794" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. In a first
scenario, we assume that the reactivity is caused by a single species,
namely the generally dominant terpene, <inline-formula><mml:math id="M795" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and consider both
low (<inline-formula><mml:math id="M796" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M797" 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> and high reactivity regimes
(<inline-formula><mml:math id="M798" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M799" 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>. A value of <inline-formula><mml:math id="M800" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M801" 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> would result if 34 pptv of <inline-formula><mml:math id="M802" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene were
available for reaction. In a first approximation, assuming first-order
kinetics, we calculate that 2.5 pptv of the initially available 50 pptv of
NO<inline-formula><mml:math id="M803" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is lost in the 10.5 s reaction time, and consequently a change in
<inline-formula><mml:math id="M804" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene of 2.5 pptv would also occur. This is only 7 % of the
initial concentration, indicating an upper limit to a negative bias of 7 %. This is an upper limit, as the assumption of first-order kinetics is
not entirely appropriate. As NO<inline-formula><mml:math id="M805" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reacts with <inline-formula><mml:math id="M806" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene in air to
form a nitrooxyperoxy radical (RO<inline-formula><mml:math id="M807" 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> we also consider a positive bias
due to reaction of NO<inline-formula><mml:math id="M808" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with this RO<inline-formula><mml:math id="M809" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. To do this we assume a rate
constant of <inline-formula><mml:math id="M810" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.2</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">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M811" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M812" 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> s<inline-formula><mml:math id="M813" 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>
for the reaction as observed for NO<inline-formula><mml:math id="M814" 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> CH<inline-formula><mml:math id="M815" 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="M816" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
(Atkinson et al., 2006) and assume that this rate constant is
approximately independent of the nature of the organic fragment (<inline-formula><mml:math id="M817" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) as is
the case for reactions of RO<inline-formula><mml:math id="M818" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with NO. The 2.5 pptv RO<inline-formula><mml:math id="M819" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> thus
generated results in an incremental NO<inline-formula><mml:math id="M820" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity of <inline-formula><mml:math id="M821" display="inline"><mml:mrow><mml:mn mathvariant="normal">7</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">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M822" 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 positive bias of 1.5 %. Again, this is an upper
limit, as the calculation assumes that this concentration of RO<inline-formula><mml:math id="M823" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is
constant and available for the whole 10.5 s of reaction time. For higher
reactivity (0.1 s<inline-formula><mml:math id="M824" 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> a similar calculation shows that the 670 pptv
required would reduce the NO<inline-formula><mml:math id="M825" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration to 17.5 pptv, itself being
diminished to <inline-formula><mml:math id="M826" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 640 pptv, a change of just 5 %. The 32.5 pptv RO<inline-formula><mml:math id="M827" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> generated would result in a loss rate constant for NO<inline-formula><mml:math id="M828" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> of
<inline-formula><mml:math id="M829" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">9</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">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M830" 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 positive bias of
<inline-formula><mml:math id="M831" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1%. In conclusion, for reactive systems in which a large
concentration of reactive trace gases with moderate reactivity towards
NO<inline-formula><mml:math id="M832" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are encountered, we expect no significant bias. The only scenario
in which a large bias can ensue is when a low reactivity is caused by a
very low concentration of an extremely reactive traces gas. Taking the
example of 1 pptv of a highly reactive terpenoid (<inline-formula><mml:math id="M833" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</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">10</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M834" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M835" 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> s<inline-formula><mml:math id="M836" 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> it is easy to
show that it would be reduced to just a few percent of its initial
concentration when mixed with 50 pptv of NO<inline-formula><mml:math id="M837" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> for 10.5 s. In this case a
large negative bias would result. In the real atmosphere, this situation is
however unlikely to occur as such reactive species are usually substantially
reduced in concentration compared to the generally dominant biogenics such
as <inline-formula><mml:math id="M838" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene.</p>
      <p>The overall uncertainty thus derives from a combination of measurement
errors (cavity instability, drift in NO<inline-formula><mml:math id="M839" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> source, etc.) and the need to
correct for NO<inline-formula><mml:math id="M840" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactions with NO<inline-formula><mml:math id="M841" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Under ideal conditions (e.g.,
as described above for laboratory operation) the former can be reduced to
<inline-formula><mml:math id="M842" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 16 %. For a scenario in which biogenic VOCs dominate NO<inline-formula><mml:math id="M843" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
reactivity in a low NO<inline-formula><mml:math id="M844" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (&lt; 1 ppbv) environment an additional
uncertainty of <inline-formula><mml:math id="M845" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 6–10 % from the numerical simulations results
in a total uncertainty of <inline-formula><mml:math id="M846" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 17–20 %. In a high-NO<inline-formula><mml:math id="M847" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
environment, the total uncertainty will be dominated by that associated with
the simulations. For example, at 5 ppbv NO<inline-formula><mml:math id="M848" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and a reactivity of 0.03 s<inline-formula><mml:math id="M849" 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 total error would be close to 45–50 %.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Measured values of <inline-formula><mml:math id="M850" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> over a 3-day period. The overall
uncertainty is represented by the amber, shaded area. The black lines are
<inline-formula><mml:math id="M851" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> obtained by full simulations; the blue lines are calculated
using Eq. (11) (without correction for N<inline-formula><mml:math id="M852" 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="M853" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> formation and
decomposition). The contribution of NO to the NO<inline-formula><mml:math id="M854" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity is
displayed as the red line. Grey shaded regions correspond to nighttime; ticks
are at midnight.</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f12.png"/>

      </fig>

</sec>
<sec id="Ch1.S6">
  <title>Deployment in the NOTOMO campaign, 2015</title>
      <p>The NO<inline-formula><mml:math id="M855" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity setup described above was deployed for the first
time in the field during the NOTOMO campaign  in the Taunus
mountains (southwestern Germany) in 2016. The site, previously described in detail
(Crowley et al., 2010; Sobanski et al., 2016b), is situated on top of the
“Kleiner Feldberg” mountain (850 m above sea level) in a forested area
with urban influence. The site is impacted by biogenic emissions from
forested regions (mainly in the northwest) and by anthropogenic emissions
from the local urban centers of Frankfurt, Mainz and Wiesbaden in the
southeast to southwest.</p>
<sec id="Ch1.S6.SSx1" specific-use="unnumbered">
  <title>Reactivity measurements during NOTOMO</title>
      <p>The NO<inline-formula><mml:math id="M856" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity instrument was located in a research container and
sampled from a common high-flow inlet together with other instruments. The
high-flow inlet was driven by an industrial fan drawing 10 m<inline-formula><mml:math id="M857" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> min<inline-formula><mml:math id="M858" 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> through a 15 cm diameter stainless steel pipe with its opening
about 8 m above the ground. This flow was sub-sampled with a 4 m length of
<inline-formula><mml:math id="M859" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> in. PFA tubing that extracted the required 3300 sccm air
from the center of the stainless steel pipe and directed it through a 2 <inline-formula><mml:math id="M860" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m PFA filter to the NO<inline-formula><mml:math id="M861" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-reactivity instrument. Due to
thermostat breakdown during NOTOMO, the NO<inline-formula><mml:math id="M862" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-reactivity measurements
were performed with the flow tube at container temperature, which was
variable (14–31 <inline-formula><mml:math id="M863" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C).</p>
      <p>Previous campaigns at the Taunus Observatory have revealed occasionally high
nighttime mixing ratios of NO<inline-formula><mml:math id="M864" 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="M865" 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="M866" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Sobanski et al., 2016b). As sampling NO<inline-formula><mml:math id="M867" 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="M868" 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="M869" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> from ambient air would bias the NO<inline-formula><mml:math id="M870" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-reactivity
measurements to low values, a 2 L glass flask heated to <inline-formula><mml:math id="M871" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 40–50 <inline-formula><mml:math id="M872" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C was placed at night in the ambient air stream to
decompose N<inline-formula><mml:math id="M873" 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="M874" 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="M875" 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="M876" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Based on its thermal
dissociation rate coefficient (0.75 s<inline-formula><mml:math id="M877" 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 50 <inline-formula><mml:math id="M878" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C),
N<inline-formula><mml:math id="M879" 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="M880" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> completely decomposes within the <inline-formula><mml:math id="M881" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 40 s residence
time in this glass vessel, and the NO<inline-formula><mml:math id="M882" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formed is expected to be lost on
the uncoated glass walls, thus preventing reformation of N<inline-formula><mml:math id="M883" 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="M884" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>.
Measurements with <inline-formula><mml:math id="M885" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 200 pptv of N<inline-formula><mml:math id="M886" 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="M887" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> added
directly to the heated vessel and measured by the ambient and heated
channels of the two-cavity CRDS (see Sect. 2.2) confirmed that neither
NO<inline-formula><mml:math id="M888" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> nor N<inline-formula><mml:math id="M889" 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="M890" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> survived. As the N<inline-formula><mml:math id="M891" 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="M892" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio was
measured during NOTOMO it is in principal possible to correct the data for
the additional NO<inline-formula><mml:math id="M893" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> thus generated. However, on most nights
N<inline-formula><mml:math id="M894" 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="M895" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> levels were too low for this to have a significant effect.
Further experiments with isoprene and <inline-formula><mml:math id="M896" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene indicated that there
was no significant change in NO<inline-formula><mml:math id="M897" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity when the glass vessel was
used or not, indicating no significant losses of these VOCs in the glass
flask. We cannot exclude that other, less volatile organic trace gases
including, e.g., acids or peroxides may be lost in the glass vessel, but these
are not expected to contribute significantly to NO<inline-formula><mml:math id="M898" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> losses as their
rate coefficients for reaction with NO<inline-formula><mml:math id="M899" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are generally too low. A
further potential bias related to the use of the glass trap is the thermal
decomposition of PAN and related peroxy nitrates, which can acquire
concentrations of up to a few ppb at this site (Sobanski et al., 2016c;
Thieser et al., 2016). If PAN decomposes in the glass vessel NO<inline-formula><mml:math id="M900" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> will
form, thus contributing to the measured reactivity. Simulations indicate
that during the 40 s residence time in the heated flask (at 50 <inline-formula><mml:math id="M901" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) only a small fraction (<inline-formula><mml:math id="M902" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 2.6 %) of the PAN decomposes to form
NO<inline-formula><mml:math id="M903" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. For future experiments in environments of high NO<inline-formula><mml:math id="M904" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> with
N<inline-formula><mml:math id="M905" 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="M906" 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="M907" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> present, the glass trap will be operated at a
lower temperature (e.g., 35 <inline-formula><mml:math id="M908" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, <inline-formula><mml:math id="M909" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">PAN</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>∼</mml:mo></mml:mrow></mml:math></inline-formula> 500 s, <inline-formula><mml:math id="M910" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</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:mo>∼</mml:mo></mml:mrow></mml:math></inline-formula> 6 s) to make
sure all of the N<inline-formula><mml:math id="M911" 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="M912" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>/NO<inline-formula><mml:math id="M913" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is removed but PAN is preserved.
We note that when measuring NO<inline-formula><mml:math id="M914" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity in regions with large
biogenic emissions, the use of the glass vessel to remove NO<inline-formula><mml:math id="M915" 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="M916" 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="M917" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is generally not necessary as high levels of biogenic VOCs
and the low levels of NO<inline-formula><mml:math id="M918" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> often found in forested/rural environments
remote from anthropogenic influence will result in very low levels of
NO<inline-formula><mml:math id="M919" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> or N<inline-formula><mml:math id="M920" 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="M921" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>Zoom in on a nighttime period with low reactivity emphasizing the
effect of NO<inline-formula><mml:math id="M922" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-induced formation and decomposition of N<inline-formula><mml:math id="M923" 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="M924" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f13.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><caption><p>Comparison of stationary-state and measured NO<inline-formula><mml:math id="M925" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss rates on
two nights (17–18 July and 18–19 July 2015). Uncertainty in
<inline-formula><mml:math id="M926" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (see text) is displayed as the amber shaded area.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/1241/2017/amt-10-1241-2017-f14.png"/>

        </fig>

      <p>During NOTOMO, ambient levels of NO<inline-formula><mml:math id="M927" 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="M928" 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="M929" 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="M930" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and
organic nitrates were measured with the CRDS instruments previously
described by Sobanski et al. (2016a; Thieser et al.,
2016). The uncertainty in the measurements was 8 % for NO<inline-formula><mml:math id="M931" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and 20 %
for NO<inline-formula><mml:math id="M932" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, whereas the uncertainty for PAN was highly variable
for each data point (Sobanski et al., 2016c). The O<inline-formula><mml:math id="M933" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios were
measured using a dual beam ozone monitor (2B Technology model 205) with an
uncertainty of 2 %. [NO] was not directly measured but its daytime
concentration was calculated assuming photo-stationary state via
Eq. (12):

                <disp-formula id="Ch1.E19" content-type="numbered"><mml:math id="M934" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">calc</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>J</mml:mi><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: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:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></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:mrow></mml:msub><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:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where J(NO<inline-formula><mml:math id="M935" 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> is the photolysis frequency of NO<inline-formula><mml:math id="M936" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math id="M937" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></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:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the rate constant for reaction of NO with O<inline-formula><mml:math id="M938" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.
This expression ignores the oxidation of NO to NO<inline-formula><mml:math id="M939" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> via, e.g., reactions
of peroxy radicals and thus overestimates NO. J(NO<inline-formula><mml:math id="M940" 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> was measured using
a spectral radiometer located close to the inlet (MetCon).</p>
      <p>In this paper we focus on a 3-day period, during which
NO<inline-formula><mml:math id="M941" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity was measured (Fig. 12). The NO<inline-formula><mml:math id="M942" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity,
<inline-formula><mml:math id="M943" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, varied from 0.005 to 0.1 s<inline-formula><mml:math id="M944" 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> during nighttime but
reached values as high as 1.4 s<inline-formula><mml:math id="M945" 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> during daytime. The total
uncertainty of the measurement is depicted by the amber, shaded area. The
red line indicates that daytime losses are dominated by reaction with NO (up
to 1.3 s<inline-formula><mml:math id="M946" 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>. Nighttime values of <inline-formula><mml:math id="M947" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were between 0.005
and 0.1 s<inline-formula><mml:math id="M948" 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>. Assuming that NO levels are close to zero as measured
previously at this site during nighttime (Crowley et al., 2010),
<inline-formula><mml:math id="M949" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is then expected to be dominated by VOCs.</p>
      <p>In Fig. 13, we compare values of <inline-formula><mml:math id="M950" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> obtained by rigorous
data correction (black curve) to those calculated directly from Eq. (11) (blue curve). The simple analytical expression (blue line) results in
an underestimation of the reactivity, especially during night, when the
overall reactivity is low, and in periods of high [NO<inline-formula><mml:math id="M951" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]. Owing to lack
of temperature stabilization of the darkened reactor (at this time not yet
incorporated) and breakdown of the flow-tube thermostat during the
campaign, temperature fluctuations in the container resulted in MDC<inline-formula><mml:math id="M952" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><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:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn></mml:mrow></mml:math></inline-formula> pptv and hence an
average, lowest measurable reactivity of <inline-formula><mml:math id="M953" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 0.01 s<inline-formula><mml:math id="M954" 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> during the campaign. As described in Sect. 5 the minimum
detectable change in NO<inline-formula><mml:math id="M955" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was combined with the uncertainty associated
with the dilution factor, reaction time, [NO<inline-formula><mml:math id="M956" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>], [PAN] and rate
constants used to calculate the overall uncertainty for the reactivity at
every data point. The overall uncertainty for the measurement period
illustrated in Fig. 13 was <inline-formula><mml:math id="M957" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 25 %.</p>
      <p>In Fig. 14, we compare the measured nighttime NO<inline-formula><mml:math id="M958" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity with that
obtained from the stationary-state analysis using Eq. (1). For the
two nights in the period analyzed, NO<inline-formula><mml:math id="M959" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios were between 5 and
37 pptv and the calculated stationary-state loss rate coefficients varied
between 0.03 and 0.003 s<inline-formula><mml:math id="M960" 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> compared to the measured reactivity which was
between 0.05 and 0.006 s<inline-formula><mml:math id="M961" 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 short time period in which
<inline-formula><mml:math id="M962" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">RTG</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fell below the detection limit of the instrument. Within
the total uncertainty, the measured and stationary-state reactivities are in
reasonable agreement for most of the night from the 17 to the
18 July. From the night 18 to the 19 July the stationary-state
reactivity is much lower (up to a factor of 8) than that measured. This
difference and also the higher variability can be attributed to rapid
variations in concentrations of VOCs at the inlet (due, e.g., to emissions
from nearby trees) that are not considered in the stationary-state approach;
i.e., very local emissions of reactive gases will result in breakdown of the
stationary-state assumption, leading to the underestimation of the reactivity
of the local mixture of VOCs and NO<inline-formula><mml:math id="M963" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. As the direct measurement of the
NO<inline-formula><mml:math id="M964" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity with this device sums over all VOCs present in the air
mass sampled, it should give the same result as summing each VOC
concentration multiplied by the individual rate coefficients for reaction
with NO<inline-formula><mml:math id="M965" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, i.e NO<inline-formula><mml:math id="M966" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity <inline-formula><mml:math id="M967" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow></mml:math></inline-formula>[VOC]<inline-formula><mml:math id="M968" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. As demonstrated previously for this mountain
site (Sobanski et al., 2016b), summed losses
based on measurement of VOCs can significantly exceed the reactivity based
on a stationary-state analysis especially under some meteorological
situations in which a low-lying residual layer (with high NO<inline-formula><mml:math id="M969" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations) influences the measurement.</p>
</sec>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <title>Conclusion and outlook</title>
      <p>We present the first instrument for measurement of NO<inline-formula><mml:math id="M970" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity in
ambient air. The flow-tube-based instrument utilizes the depletion of
synthetically generated NO<inline-formula><mml:math id="M971" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> when mixed with ambient air and has a
dynamic range of 0.005 to 45 s<inline-formula><mml:math id="M972" 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>. Following intensive
laboratory characterization to determine the effective reaction time, the
wall loss constant of NO<inline-formula><mml:math id="M973" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and the effect of NO<inline-formula><mml:math id="M974" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation and
reformation in the flow tube, it was successfully tested against an isoprene
standard. The overall uncertainty depends on the relative rate of reaction
of NO<inline-formula><mml:math id="M975" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with NO<inline-formula><mml:math id="M976" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or with other traces gases (e.g., VOCs or NO) that
do not generate N<inline-formula><mml:math id="M977" 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="M978" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and which, under ideal conditions, is close
to 15 %. The instrument is thus best suited for measurement of NO<inline-formula><mml:math id="M979" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
reactivity in regions with high biogenic activity and relatively low direct
anthropogenic emissions of NO<inline-formula><mml:math id="M980" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, i.e., regions where the
measurement of NO<inline-formula><mml:math id="M981" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations is difficult owing to low production
rates and a high loss term.</p>
      <p>First deployment of the instrument was during the NOTOMO observational
experiment in summer 2015 at a forested, mountain site with urban influence.
The measured NO<inline-formula><mml:math id="M982" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity ranged from 0.006 to 0.1 to s<inline-formula><mml:math id="M983" 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
nighttime and reached values as high as 1.4 s<inline-formula><mml:math id="M984" 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> during daytime. As
expected, daytime reactivity was dominated by reaction with NO while
nighttime reactivity involved other (presumably organic) trace gases. A
comparison with stationary-state calculations of the NO<inline-formula><mml:math id="M985" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity
revealed occasional poor agreement, presumably related to very local
emissions causing a breakdown of the stationary-state assumption.</p>
      <p>Improvements to the dynamic range of the instrument require further
stabilization of the NO<inline-formula><mml:math id="M986" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> source and cavity optics to reduce the minimal
detectable change in NO<inline-formula><mml:math id="M987" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (presently MDC<inline-formula><mml:math id="M988" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><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:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> pptv). This
could also be achieved by the use of larger volume flow tubes. Reduction in
the initial NO<inline-formula><mml:math id="M989" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration used would also reduce any potential bias
caused by depletion of reactants or secondary chemistry. Future deployment
with simultaneous measurements of NO<inline-formula><mml:math id="M990" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M991" 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="M992" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and VOCs will
be conducted to compare direct measurements of NO<inline-formula><mml:math id="M993" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reactivity with
those obtained from the stationary-state approach and also those calculated
from summing losses due to individual VOCs.</p>
</sec>

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

      <p>The NOTOMO data will be released at the end of 2017 when they can be obtained on request
(via John Crowley) from the owners.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/amt-10-1241-2017-supplement" xlink:title="pdf">doi:10.5194/amt-10-1241-2017-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p>We would like to thank Heinz Bingemer and the staff and department of the
Johann Wolfgang Goethe-University, Frankfurt am Main, for logistical support
and access to the Taunus Observatory during NOTOMO. We also would like to
thank Eva Pfannerstil for providing the isoprene standard. We thank DuPont
for the sample of FEP used to coat the walls of the flow tube and darkened
reactor. This work was carried out in partial fulfilment of the PhD
(Johannes Gutenberg University, Mainz, Germany) of Jonathan Liebmann.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
The article processing charges for this open-access <?xmltex \hack{\newline}?> publication were covered by the Max Planck Society.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: A. Hofzumahaus<?xmltex \hack{\newline}?>
Reviewed by: S. Brown and one anonymous referee</p></ack><ref-list>
    <title>References</title>

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<abstract-html><p class="p">We describe the first instrument for measurement of the
rate constant (s<sup>−1</sup>) for reactive loss (i.e., the total reactivity) of
NO<sub>3</sub> in ambient air. Cavity-ring-down spectroscopy is used to monitor
the mixing ratio of synthetically generated NO<sub>3</sub> ( ≈  30–50 pptv)
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of the bath gas between zero air and ambient air is used to derive its loss
rate constant, which is then corrected for formation and decomposition of
N<sub>2</sub>O<sub>5</sub> via numerical simulation. The instrument is calibrated and
characterized using known amounts of NO and NO<sub>2</sub> and tested in the
laboratory with an isoprene standard. The lowest reactivity that can be
detected (defined by the stability of the NO<sub>3</sub> source, instrumental
parameters and NO<sub>2</sub> mixing ratios) is 0.005 s<sup>−1</sup>. An automated
dilution procedure enables measurement of NO<sub>3</sub> reactivities up to 45 s<sup>−1</sup>, this upper limit being defined mainly by the dilution accuracy.
The typical total uncertainty associated with the reactivity measurement at
the center of its dynamic range is 16 %, though this is dependent on
ambient NO<sub>2</sub> levels. Results from the first successful deployment of the
instrument at a forested mountain site with urban influence are shown and
future developments outlined.</p></abstract-html>
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