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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-11-741-2018</article-id><title-group><article-title>Development of an instrument for direct ozone production rate measurements:
measurement reliability and current limitations</article-title><alt-title>Development of an instrument for direct ozone production rate measurements</alt-title>
      </title-group><?xmltex \runningtitle{Development of an instrument for direct ozone production rate measurements}?><?xmltex \runningauthor{S.~Sklaveniti et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Sklaveniti</surname><given-names>Sofia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Locoge</surname><given-names>Nadine</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Stevens</surname><given-names>Philip S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9899-4215</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Wood</surname><given-names>Ezra</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9533-215X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Kundu</surname><given-names>Shuvashish</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Dusanter</surname><given-names>Sébastien</given-names></name>
          <email>sebastien.dusanter@imt-lille-douai.fr</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>IMT Lille Douai, Univ. Lille, SAGE – Département Sciences de
l'Atmosphère et Génie de l'Environnement, <?xmltex \hack{\break}?> 59000 Lille,
France</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Public and Environmental Affairs, Indiana
University, Bloomington, IN 47405, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Chemistry,
Indiana University, Bloomington, IN, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Chemistry,
University of Massachusetts Amherst, Amherst, MA, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of
Chemistry, Drexel University, Philadelphia, PA, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Sébastien Dusanter (sebastien.dusanter@imt-lille-douai.fr)</corresp></author-notes><pub-date><day>7</day><month>February</month><year>2018</year></pub-date>
      
      <volume>11</volume>
      <issue>2</issue>
      <fpage>741</fpage><lpage>761</lpage>
      <history>
        <date date-type="received"><day>21</day><month>July</month><year>2017</year></date>
           <date date-type="rev-request"><day>1</day><month>August</month><year>2017</year></date>
           <date date-type="rev-recd"><day>13</day><month>November</month><year>2017</year></date>
           <date date-type="accepted"><day>30</day><month>November</month><year>2017</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2018 Sofia Sklaveniti et al.</copyright-statement>
        <copyright-year>2018</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018.html">This article is available from https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e155">Ground-level ozone (O<inline-formula><mml:math id="M1" 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> is an important pollutant that
affects both global climate change and regional   air quality, with
the latter linked to detrimental effects on both human health and ecosystems.
Ozone is not directly emitted in the atmosphere but is formed from chemical
reactions involving volatile  organic compounds (VOCs), nitrogen
oxides (NO<inline-formula><mml:math id="M2" 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="M3" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M4" 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> and sunlight. The photochemical
nature of ozone makes the implementation of reduction strategies challenging
and a good understanding of its formation chemistry is fundamental in order
to develop efficient strategies of ozone reduction from mitigation measures
of primary VOCs and NO<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions.</p>
    <p id="d1e210">An instrument for direct measurements of ozone production rates (OPRs) was
developed and deployed in the field as part of the IRRONIC (Indiana Radical,
Reactivity and Ozone Production Intercomparison) field campaign. The OPR
instrument is based on the principle of the previously published MOPS
instrument (Measurement of Ozone Production Sensor) but using a different
sampling design made of quartz flow tubes and a different O<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (O<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
and NO<inline-formula><mml:math id="M8" 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> conversion–detection scheme composed of an O<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-NO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
conversion unit and a cavity attenuated phase shift spectroscopy (CAPS) 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> monitor.
Tests performed in the laboratory and in the field, together with model
simulations of the radical chemistry occurring inside the flow tubes, were
used to assess (i) the reliability of the measurement principle and (ii) potential biases associated with OPR measurements.</p>
    <p id="d1e271">This publication reports the first field measurements made using this
instrument to illustrate its performance. The results showed that a
photo-enhanced loss of ozone inside the sampling flow tubes disturbs the
measurements. This issue needs to be solved to be able to perform accurate
ambient measurements of ozone production rates with the instrument described
in this study. However, an attempt was made to investigate the OPR
sensitivity to NO<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> by adding NO inside the instrument. This type of
investigations allows checking whether our understanding of the turnover
point between NO<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited and NO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-saturated regimes of ozone
production is well understood and does not require measuring ambient OPR but
instead only probing the change in ozone production when NO is added. During
IRRONIC, changes in ozone production rates ranging from the limit of
detection (3<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of 6.2 ppbv h<inline-formula><mml:math id="M16" 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> up to 20 ppbv h<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were
observed when 6 ppbv of NO was added into the flow tubes.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\allowdisplaybreaks}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e347">Ground-level ozone (O<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is a primary constituent of photochemical smog
that irritates the respiratory system  (WHO, 2013) and damages vegetation
(Ashmore, 2005). In addition, ozone is a greenhouse gas and an
important precursor of the hydroxyl radical (OH), a key species controlling
the atmospheric oxidative capacity  (Monks, 2005; Rohrer et al.,
2014; Prinn, 2003). Ozone is a photochemical pollutant<?pagebreak page742?> formed during daytime
and has an average lifetime estimated at 22 <inline-formula><mml:math id="M19" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 days  (Stevenson et
al., 2006), which is long enough to transport it from polluted regions to
remote areas and between continents. The local production of ozone on top of
the amount advected from elsewhere can lead to exceedances of air quality
standards in urbanized areas, making ozone pollution an issue of global
concern  (Akimoto, 2003).</p>
      <p id="d1e369">In the troposphere, ozone can be rapidly converted to nitrogen dioxide
(NO<inline-formula><mml:math id="M20" 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> through reaction with nitric oxide (NO) and back to O<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>
through 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> photolysis. This chemistry does not produce new ozone and
is known as the 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>–NO<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> photostationary state (PSS), with NO<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
being the sum of NO and NO<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The production of new ozone is driven by
the oxidation of volatile organic compounds (VOCs), which leads to the
production of hydroperoxy (HO<inline-formula><mml:math id="M27" 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> and organic peroxy (RO<inline-formula><mml:math id="M28" 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> radicals.
The current understanding of tropospheric ozone chemistry indicates that new
ozone is formed via reactions of these peroxy radicals with NO, which
results in the conversion of NO to NO<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> without consumption of ozone
(Monks, 2005; Seinfeld and Pandis, 2006).</p>
      <p id="d1e472">When ozone is produced, reactions of peroxy radicals with NO also lead to
the formation of OH, which can then oxidize other molecules of VOCs to
produce more peroxy radicals and, as a consequence, more ozone. The
propagation chemistry between RO<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (OH, HO<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and RO<inline-formula><mml:math id="M32" 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> radicals,
which fuels ozone production, is terminated either by NO<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>–RO<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
reactions or by cross reactions of RO<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> radicals in NO<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-rich and
NO<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-poor environments, respectively. These two types of termination
reactions lead to different regimes of ozone production referred to as
NO<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited or NO<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-saturated when the rate of ozone production
increases or decreases with NO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, respectively. The turnover point
between the two regimes depends on NO<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations, VOC reactivity
and radical production rates   (Kleinman, 2005). Since different air
quality regulations have to be implemented for the two different regimes,
i.e either NO<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> or VOC emission regulations, investigating the
sensitivity of ozone production rates (OPRs) to its precursors during field
studies, such as NO<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, is important to test our understanding of the
turnover point.   Understanding this complex and nonlinear radical chemistry
is key for the design of efficient emission control strategies.</p>
      <p id="d1e606">The instantaneous ozone production rate,  <inline-formula><mml:math id="M44" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M45" 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>, can be calculated from
Eq. (1) as the rate of reactions between peroxy radicals and NO. The
instantaneous ozone loss rate, <inline-formula><mml:math id="M46" display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M47" 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>, can be calculated using Eq. (2),
based on reaction rates for ozone photolysis, reactions of O<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> with
HO<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and alkenes, and the reaction of OH with NO<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, since NO<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is
a reservoir molecule for 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>. The net ozone production rate,
<inline-formula><mml:math id="M53" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M54" 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>, is then computed as the difference between instantaneous
production and loss rates as shown in Eq. (3).

              <disp-formula specific-use="align" content-type="numbered"><mml:math id="M55" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>p</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hspace{8mm}}?><mml:mo>+</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mfenced close="]" open="["><mml:mi mathvariant="normal">NO</mml:mi></mml:mfenced><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>l</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi>D</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:mi>O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi>D</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mfenced close="]" open="["><mml:mi mathvariant="normal">OH</mml:mi></mml:mfenced><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hspace{5mm}}?><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">Alkene</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">Alkene</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hspace{5mm}}?><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mfenced close="]" open="["><mml:mi mathvariant="normal">OH</mml:mi></mml:mfenced><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>p</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mi>l</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          Here <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mo>+</mml:mo><mml:mi>Y</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the bimolecular reaction rate constant for the two
reagents <inline-formula><mml:math id="M57" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M58" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula>. Therefore, the calculation of ozone production rates
requires peroxy radical concentrations, either from ambient measurements
(Green et al., 2006; Liu and Zhang, 2014; Fuchs et al., 2008; Dusanter et
al., 2009a; Griffith et al., 2016) or box model outputs  (Goliff et al.,
2013; Stockwell et al., 2011; Saunders et al., 2003).</p>
      <p id="d1e1095">In most urban and suburban environments, where concentrations of NO<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> are
significant (10–80 ppbv), ozone production rates can reach a few tens of
ppbv h<inline-formula><mml:math id="M60" 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> (Mao et al., 2010). In highly polluted environments, such as
Mexico City or Houston, Texas, <inline-formula><mml:math id="M61" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M62" 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> can even exceed 100 ppbv h<inline-formula><mml:math id="M63" 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>
(Shirley et al., 2006; Chen et al., 2010). Ozone production rates lower than
10 ppbv h<inline-formula><mml:math id="M64" 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> have also been observed in urban atmospheres such as
Phoenix, AZ (Kleinman et al., 2002), likely due to lower initiation rates of
radicals. Ozone production is usually low in more remote areas or forested
environments that are not impacted by anthropogenic activities (less than
2–3 ppbv h<inline-formula><mml:math id="M65" 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>, due to the low NO<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations (Geng et al.,
2011). However, if NO<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission sources are located downwind of a
forested area, highly reactive biogenic VOCs (e.g., isoprene) can lead to an
enhancement of ozone production (Geng et al., 2011; Thornton et al., 2002).</p>
      <p id="d1e1196">Some studies performed in urban and suburban areas, whose objectives were to
test our understanding of the radical chemistry by contrasting measurements
and model simulations of HO<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations, showed that models tend to
underestimate HO<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for NO mixing ratios higher than a few ppbv  (Ren
et al., 2003, 2013; Chen et al., 2010; Dusanter et al., 2009b; Kanaya et al.,
2007). In contrast, models tend to overestimate HO<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in
forested areas and regions characterized by large concentrations of biogenic
VOCs  (Griffith et al., 2013; Mao et al., 2012; Pugh et al., 2010).
Disagreements are also present in the modeling of OH, with the models
underestimating the measurements at forested environments  (Lelieveld et
al., 2008; Tan et al., 2001; Whalley et al., 2011; Hofzumahaus et al., 2009; Lu
et al., 2013; Pugh et al., 2010), while the agreement may be better when
colder temperatures lead to lower concentrations of isoprene and other VOCs
(Griffith et al., 2013).
The discrepancies between models and measurements question our ability to
successfully measure radical species or indicate that there are still
unknowns in our understanding of the radical and ozone production chemistry,
which in turn could lead to erroneous <inline-formula><mml:math id="M71" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M72" 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> calculations by
atmospheric models. These models are widely used for the design of air
quality regulations (Rao et al., 2010; Fu et al., 2006) based on emission
control strategies. It is therefore essential to ensure that chemical
mechanisms used in<?pagebreak page743?> atmospheric models are accurate enough to simulate the
oxidative capacity of the atmosphere and to predict both absolute rates of
ozone production and the turnover point between the two ozone production
regimes.</p>
      <p id="d1e1245">In order to address these issues, an instrument for direct ozone production
measurements (MOPS) was developed by Cazorla and Brune (2010). The principle
of MOPS is based on differential ozone measurements between two sampling
chambers made of FEP (fluorinated ethylene propylene),
one exposed to sunlight (referred to as the sampling chamber)
to get an ozone production rate inside the chamber that mimics atmospheric
<inline-formula><mml:math id="M73" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M74" 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> and the other one covered with a UV filter (reference chamber)
to suppress the radical chemistry and, as a consequence, ozone production.
The difference in ozone between the two chambers divided by the exposure time
yields the ozone production rate. However, NO<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> can act as a
reservoir molecule for O<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> due to the rapid interconversion between
these two species, and NO<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> has to be converted into O<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> before
measuring ozone. The differential O<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (O<inline-formula><mml:math id="M80" 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> O<inline-formula><mml:math id="M81" 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="M82" 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>
measurements yield <inline-formula><mml:math id="M83" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M84" 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> values, which represent <inline-formula><mml:math id="M85" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M86" 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> when
NO<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is efficiently photolyzed during daytime.</p>
      <p id="d1e1397">The first version of the MOPS instrument was tested on the campus of
Pennsylvania State University in the late summer of 2008. These tests
demonstrated the feasibility of the MOPS technique, as the instrument
responded to the presence of solar radiation and ozone precursors and yielded
rates of ozone production that were within a range of reasonable values (up
to 10 ppbv h<inline-formula><mml:math id="M88" 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 this area. This instrument was then deployed
during the Study of Houston Atmospheric Radical Precursors (SHARP, 2009)
(Cazorla et al., 2012). The measurements were compared to ozone production
rates calculated using measurements of HO<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and NO (referred to as
calculated <inline-formula><mml:math id="M90" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as well as modeled radical concentrations from a box
model (referred to as modeled <inline-formula><mml:math id="M92" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Measured and calculated
<inline-formula><mml:math id="M94" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M95" 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> had similar peak values but the calculated <inline-formula><mml:math id="M96" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M97" 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> tended
to peak earlier in the morning when NO values were higher. Measured and
modeled <inline-formula><mml:math id="M98" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M99" 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> had a similar diurnal profile, but the modeled
<inline-formula><mml:math id="M100" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M101" 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> was only half the measured <inline-formula><mml:math id="M102" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M103" 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>. The MOPS deployment
during the SHARP field campaign showed the potential of this instrument for
contributing to the understanding of the ozone-producing chemistry but was
limited by measurement uncertainties due to potential wall effects. The
heterogeneous loss of NO<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> under humid conditions
(RH &gt; 50 %) was reported as a main issue for this technique.</p>
      <p id="d1e1572">Recently, an improved version of the MOPS instrument was deployed during the
NASA's DISCOVER-AQ field campaign in 2013, in Houston, Texas
(Baier et al., 2015). Wall effects were reduced by improving the
design of the sampling chambers and the airflow characteristics. The
measurements made over 1 month were consistent with ambient ozone
observations and model-derived <inline-formula><mml:math id="M105" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M106" 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> values from previous field
campaigns in Houston. The authors, however, highlighted a possible bias due
to surface HONO production followed by its photolysis in the sampling
chamber, as well as unresolved ozone analyzer issues. HONO concentrations in
the sampling chambers were reported as 2 to 5 times higher than ambient
values, which could cause a bias up to 5–10 ppbv h<inline-formula><mml:math id="M107" 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> on the
<inline-formula><mml:math id="M108" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M109" 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> measurements.</p>
      <p id="d1e1625">A recent publication from Sadanaga et al. (2017) also reports the development
and the field deployment of another instrument to measure ozone production
rates. The main differences with MOPS are the use of two quartz flow tubes
instead of Teflon<sup>®</sup> chambers, an O<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>-to-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> conversion unit and
an NO<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> detection by laser-induced fluorescence. While quartz was chosen for
the flow tubes, their inner surface is covered by a Teflon<sup>®</sup> film. The reported
detection limit is 0.5 ppbv h<inline-formula><mml:math id="M113" 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 60 s measurements. <inline-formula><mml:math id="M114" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M115" 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>
values ranging from the detection limit up to 11 ppbv h<inline-formula><mml:math id="M116" 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> were
reported for 3 days of measurements in a forested area characterized by
low mixing ratios of O<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> (&lt; 10 ppbv) and NO<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
(&lt; 1ppbv).</p>
      <p id="d1e1724">In this publication, we present the development and the characterization of
an ozone production rates instrument. The OPR instrument is based on
the principle of the MOPS, using sampling and detection schemes similar to
those proposed by Sadanaga et al. (2017). This publication describes this new
instrument and its characterization in the laboratory. An emphasis is given
to the modeling of the radical chemistry inside the sampling chambers to
assess potential biases on <inline-formula><mml:math id="M119" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M120" 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> measurements associated with
instrumental characteristics and operating conditions. The publication also
reports preliminary field results from the Indiana Radical, Reactivity and
Ozone Production Intercomparison (IRRONIC) campaign, which highlight the
current limitations of this instrument.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e1748">Schematic of the OPR instrument. O<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> converted into NO<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
by reaction with NO. Difference in O<inline-formula><mml:math id="M123" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> mixing ratios between the two
flow tubes quantified by CAPS. SV: solenoid valves. MFC: mass flow
controller.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Experimental section</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Description of the OPR instrument</title>
      <p id="d1e1799">The principle of the OPR is based on differential O<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> measurements
between an ambient flow tube, exposed to sunlight to mimic ambient
photochemistry, and a reference flow tube, covered with an
Ultem<sup>®</sup> film (polyetherimide, 0.25 mm thick,
CS Hyde Co., USA) to block wavelengths lower than 400 nm, which in turn
should suppress ozone production. As mentioned above for the MOPS instrument,
the fast partitioning between O<inline-formula><mml:math id="M125" 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="M126" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> requires measuring O<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
instead of O<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, assuming that <inline-formula><mml:math id="M129" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M130" 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> is equal to <inline-formula><mml:math id="M131" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M132" 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> when
NO<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> is efficiently photolyzed during daytime. <inline-formula><mml:math id="M134" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M135" 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> is calculated
from the difference in O<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> between the two flow tubes, <inline-formula><mml:math id="M137" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>,
divided by the mean residence time (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of air inside the tubes as shown
in Eq. (4).

                <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M140" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>P</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">amb</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">ref</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          A detailed schematic of the OPR instrument is shown in Fig. 1. The two
flow tubes exhibit the same geometry and<?pagebreak page744?> are made of quartz (14 cm i.d. and 70 cm long).
Each flow tube is connected to the inlet and outlet flanges that
are made of anodized aluminum and PTFE. Since a major issue previously
identified for the MOPS instrument was wall effects causing NO<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> losses
(Cazorla and Brune, 2010), the inner geometry of the flanges
was designed based on fluid dynamics simulations using STAR-CCM<inline-formula><mml:math id="M142" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> v8
(CD-adapco). The geometry was optimized to minimize radial mixing and
recirculation eddies that could increase wall effects. The design of the
flanges can be found in the Supplement (Fig. S1).</p>
      <p id="d1e2027">Each flange consists of two parts. For both the inlet and outlet, a conical
PTFE piece is screwed inside an external aluminum flange. Four holes are
drilled symmetrically around the aluminum flanges to inject zero air around
the PTFE inlet and to extract air around the PTFE outlet. The lengths of the
inlet and outlet flanges are 25 and 14 cm, respectively. The PTFE inlet has
an external diameter of 2.54 cm which increases to 7 cm over a length of 20 cm.
The PTFE outlet starts from a diameter of 3 cm which decreases to 1.27 cm
over 10 cm. The aluminum flanges exhibit a curved conical inner surface
around the PTFE parts.</p>
      <p id="d1e2030">Ambient air is sampled through a common inlet (PFA, perfluoroalkoxy, 1.27 cm o.d.) at a flow
rate of 4 L min<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and is transferred into both flow tubes through the
internal PTFE inlets (2 L min<inline-formula><mml:math id="M144" 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>, while additional zero air (250 mL min<inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
is injected at the outer periphery of these inlets inside the
flanges. This flow of zero air helps in keeping the ambient airflow forward,
minimizing recirculation eddies, and should therefore reduce wall effects.
The dilution of the sampled air is approximately 10 %. At the outlet, air
is sampled only from the center of the flow tube, through the PTFE outlet
(750 mL min<inline-formula><mml:math id="M146" 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>, while the rest is extracted by an external pump
(1.5 L min<inline-formula><mml:math id="M147" 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>. Both the injection and extraction of air are regulated by mass
flow controllers (MFC in Fig. 1).</p>
      <p id="d1e2105">The Ultem<sup>®</sup> filter is placed on a rectangular
aluminum frame outside of the reference flow tube, which enables the flow of
ambient air between the filter and the flow tube using fans. This setup
allows the two flow tubes to be kept at the same temperature by extracting
the heat released by the filter. For the same reason, a frame covered by an
FEP film (.005 cm thick, DuPont Teflon<sup>®</sup> FEP), transparent to the solar
radiation, is used for the ambient flow tube to reduce heat dissipation by
the wind.</p>
      <p id="d1e2115">The air exiting the two flow tubes is mixed with 10 SCCM of NO (50 ppmv,
Indiana Oxygen, USA), leading to an NO mixing ratio of 650 ppbv in the
conversion unit. The mixing of the gases takes place in two identical pyrex
chambers, providing a reaction time of approximately 22 s at 20 <inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
which is long enough to quantitatively titrate O<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> into NO<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
Both the relative humidity and temperature are monitored in the airflow
extracted from the flow tubes and at the O<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>-to-NO<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> conversion
unit.</p>
      <p id="d1e2163">Downstream the conversion unit, O<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (O<inline-formula><mml:math id="M154" 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="M155" 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 measured by
an Aerodyne cavity attenuated phase shift spectroscopy (CAPS) NO<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
monitor (Kebabian et al., 2005, 2008). Since the CAPS is a single-cell
monitor, the measurements from the ambient and reference flow tubes are taken
sequentially, using two solenoid valves (SV1 and SV2 in Fig. 1). When air
from the ambient (or reference) flow tube is sampled by the CAPS monitor
(750 mL min<inline-formula><mml:math id="M157" 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 same flow rate of air is extracted from the other
flow tube by a mass flow controller connected to a pump. The valves switch
every 1 min, alternating the flows that are sampled by the CAPS monitor and
the pump. <inline-formula><mml:math id="M158" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> is calculated as the difference between an ambient
flow tube measurement and the average of two surrounding reference
measurements, leading to a <inline-formula><mml:math id="M160" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M161" 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> measurement every 2 min. The first
15 s of each 1 min measurement is discarded since they describe a
transient regime between ambient and reference flow tube measurements. Ozone
production values are calculated from Eq. (4).</p>
      <p id="d1e2259">The zero of the monitor was checked frequently during the field campaign
using dry zero air and was found to change by less than 0.3 ppbv over 12 h.
It is worth noting that a slow drift of the zero does not impact the
measurements since the same CAPS monitor was used to measure O<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> at the
exit of both flow tubes with a switching time of 1 min. The calculation of
<inline-formula><mml:math id="M163" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M164" 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> implies a subtraction between the measured O<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
concentrations, which cancels out any offset in the monitor's zero. The
monitor was calibrated with an NO<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> standard mixture at 190 <inline-formula><mml:math id="M167" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 ppb
(2<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> certified by LNE (French National Metrology Institute). The
detection limit (3<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for a 1 s integration time was 300 pptv.</p>
      <?pagebreak page745?><p id="d1e2336">The measurement sequence is automated and controlled through a National
Instruments LabVIEW 2013 interface. Three USB data acquisition boards are
used (NI-9264, NI-6008, NI-6009) to control the two solenoid valves and the
seven mass flow controllers, as well as to record signals from the CAPS
monitor and sensors setup for humidity and temperature measurements.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Laboratory and field experiments conducted to characterize the
OPR</title>
      <p id="d1e2347">Experiments conducted to characterize the OPR instrument include
measurements of the mean residence time, O<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> losses, and HONO production
rates in the flow tubes and measurements of the O<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-NO<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>
conversion efficiency.</p>
      <p id="d1e2377">The mean residence time was quantified in each flow tube by injecting short
pulses of toluene (10 s in duration) at the inlet of the flow tubes. A
PTR-ToF-MS (proton transfer reaction time-of-flight mass spectrometer, KORE
Technology Inc.) was connected at the outlets to measure the time it takes
for a pulse introduced at the inlets to exit the flow tubes. The pulse
experiment was repeated five times, and the average was calculated as the mean
residence time.</p>
      <p id="d1e2380">O<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> losses inside both flow tubes were measured in the
laboratory and during the field deployment described below by sampling
mixtures of zero air and 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> (or NO<inline-formula><mml:math id="M176" 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> at known mixing ratios and by
measuring 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> downstream the conversion unit (or directly at the exit
of the flow tubes). A relative loss was calculated from the difference in
concentrations between the inlet and outlet and was referenced to the inlet
concentration. These tests were performed at relative humidity values
ranging from 0 to 65 %.</p>
      <p id="d1e2431">The release of HONO from the inner surface of the flow tubes was quantified
using a chemical ionization mass spectrometer (CIMS, Georgia Tech). Mixtures
of NO<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and humid zero air were introduced into the flow tubes, while
HONO was measured both at the inlet and outlet. These experiments were
performed under dark conditions as well as under various irradiated
conditions using artificial UV light provided by two types of fluorescent
lamps: four lamps centered at 312 nm (Vilber, T-15.M) and four lamps centered at
365 nm (Philips, T12).</p>
      <p id="d1e2444">Finally, the O<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>-to-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> conversion efficiency was measured by
sampling zero air enriched with O<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> (3–170 ppbv) through the mixing
chambers of the conversion unit, varying the flow of NO and measuring
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> with the CAPS monitor. These tests were performed at various
relative humidities (25–60 %). The conversion efficiency at a specific NO
level was calculated from the ratio of NO<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> measured at this NO level to
that measured when 700 ppbv of NO was added, assuming for the latter that
100 % of O<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was converted. This assumption is verified from kinetic
considerations (<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 1.80 <inline-formula><mml:math id="M186" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M187" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M188" 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="M189" 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="M190" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
and 23 s of residence time in the conversion
unit) and from the observation of a plateau for NO mixing ratios higher than
500 ppbv.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Modeling experiments conducted to characterize the OPR</title>
      <p id="d1e2584">As previously mentioned, the measurement principle of ozone production rates
is based on the assumption that (i) <inline-formula><mml:math id="M191" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M192" 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> in the ambient flow tube is
similar to <inline-formula><mml:math id="M193" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M194" 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> in the atmosphere and (ii) there is no significant
production of ozone in the reference flow tube. Box model simulations were
performed to check whether this assumption is valid. In addition, simulations
were also conducted to investigate the impact on OPR measurements of (a) an
O<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-NO<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> conversion efficiency lower than 100 %, (b) 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>
and O<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> losses and (c) HONO production inside the flow tubes, (d) a
possible increase in the temperature in the reference flow tube due to the UV
filter, (e) the dilution of ambient air by injecting zero air inside the flow
tubes at the periphery of the inlets and (f) reactions of OH with NO<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mi>z</mml:mi></mml:msub></mml:math></inline-formula>
species producing O<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Selected data and chemical mechanism</title>
      <p id="d1e2687">The simulations were performed using a box model based on the Regional
Atmospheric Chemistry Mechanism (RACM)  (Stockwell et al., 1997).
RACM is a gas-phase chemical mechanism developed for the modeling of
regional atmospheric chemistry and includes 17 stable inorganic species, 4
inorganic intermediates, 32 stable organic species and 24 organic
intermediates for a total of 237 chemical reactions. Organic compounds are
grouped together to form a manageable set of compounds. Only 8 organic
species are treated explicitly (methane, ethane, ethene, isoprene,
formaldehyde, glyoxal, methyl hydrogen peroxide and formic acid) and 24 are
surrogates that are grouped based on emission rates, chemical structure and
reactivity with the OH radical.</p>
      <p id="d1e2690">Measurements from several field campaigns were used for this modeling
exercise, including measurements performed in (i) a megacity as part of the
2006 Mexico City Metropolitan Area (MCMA)
(Dusanter et al., 2009b) and (ii) an
urban area as part of the 2010 California Nexus (CalNex) campaign
(Griffith et al., 2016). Two days characterized by elevated and low O<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations were selected
for each campaign and are presented in the Supplement (Table S1 and Fig. S2).
For both campaigns, ozone was higher by approximately a factor of 2 on high
O<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> days (<inline-formula><mml:math id="M203" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 100 ppbv) compared to low O<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> days (<inline-formula><mml:math id="M205" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 50 ppbv). However, while both high and low ozone levels were similar for
the selected days of these campaigns, large differences were observed for
NO<inline-formula><mml:math id="M206" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (6–120 ppbv) and OH reactivity (8–86 s<inline-formula><mml:math id="M207" 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>. Since OH
reactivity and NO<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> are main drivers of ozone production, these modeling
results are expected to provide a good assessment of potential biases
associated with <inline-formula><mml:math id="M209" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M210" 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> measurement for any urban environments.</p>
</sec>
<?pagebreak page746?><sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><?xmltex \opttitle{Modeling of ambient $P$(O${}_{{x}})$ values}?><title>Modeling of ambient <inline-formula><mml:math id="M211" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M212" 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> values</title>
      <p id="d1e2815">The model was constrained by 10 min (MCMA) or 15 min (CalNex) average
measurements of temperature, pressure, humidity, organic and inorganic
species, and <inline-formula><mml:math id="M213" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> values, while the differential equation system was integrated
by the FACSIMILE solver (MCPA Software Ltd.). In total, 24 <inline-formula><mml:math id="M214" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> values were used
to constrain the model, as derived in
Dusanter et al. (2009b), together with
7 inorganic and 17 organic species or surrogates. Tables reporting the
constrained species and <inline-formula><mml:math id="M215" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> values can be found in the Supplement (Tables S2
and S3). The integration time was set at 30 h with constrained species
reinitialized every 2 s. Ambient ozone production values were then
calculated from Eqs. (1) to (3) and are referred to as
<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the following. In total, 18
surrogates of RO<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> species were taken into account to calculate
p(O<inline-formula><mml:math id="M218" 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> from Eq. (1), while 10 unsaturated surrogates were used to
calculate l(O<inline-formula><mml:math id="M219" 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> from Eq. (2) (Table S4).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><?xmltex \opttitle{Modeling of $P$(O${}_{{x}})$ values in the ambient and reference flow
tubes}?><title>Modeling of <inline-formula><mml:math id="M220" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M221" 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> values in the ambient and reference flow
tubes</title>
      <p id="d1e2921">Modeling OPR measurements requires simulating the chemistry inside each flow
tube.  <inline-formula><mml:math id="M222" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> values used to model the chemistry in the ambient flow tube were the
same as for the ambient modeling since the quartz material used to build the
flow tubes is transparent to solar irradiation. For the reference flow tube,
<inline-formula><mml:math id="M223" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> values were scaled based on the absorption coefficient of the Ultem<sup>®</sup> film
(Philipp et al., 1989) as discussed in the Supplement
(Sect. S2.1).</p>
      <p id="d1e2941">The model was constrained by the same meteorological parameters and chemical
species as for <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. In addition, modeled
concentrations of VOC-oxidation products and peroxy radicals inferred from
the modeling of <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were also constrained in
these simulations (Table S5), assuming that a significant fraction of the
peroxy radicals is not lost in the sampling line. The constrained concentrations were
initialized once, at the entrance of the flow tubes, and the simulations were
run for 10 min without reinitializing the constraints. The simulations were
run separately for each flow tube and <inline-formula><mml:math id="M226" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M227" 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> was calculated every 15 s
from Eq. (3). An integrated value of <inline-formula><mml:math id="M228" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M229" 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> was then computed for the
flow tube residence time.</p>
      <p id="d1e3023"><inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is compared to the integrated
<inline-formula><mml:math id="M231" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M232" 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> value from the ambient flow tube (referred to as
<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">amb</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to check whether ozone production in
the ambient flow tube is similar to ambient ozone production. The integrated
value of <inline-formula><mml:math id="M234" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M235" 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> in the reference flow tube (referred to as
<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">ref</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is also scrutinized to check whether
ozone production is negligible in this flow tube.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS4">
  <label>2.3.4</label><title>Modeling of OPR measurements</title>
      <p id="d1e3137">Since the OPR instrument measures O<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> after conversion of O<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> into
NO<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations at the exit of the conversion unit are
calculated from the conversion efficiency <inline-formula><mml:math id="M241" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> as shown in Eq. (5).

                  <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M242" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">conv</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi mathvariant="italic">τ</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>C</mml:mi><mml:msub><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi mathvariant="italic">τ</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

            Here the concentrations reflect those observed at the exit of the conversion
unit (subscript: conv) and at the exit of the flow tubes (subscript: <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The concentrations at the exit of the flow tubes are the model outputs at
the residence time <inline-formula><mml:math id="M244" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>. Based on Eq. (4), the ozone production rate
measured by the OPR, <inline-formula><mml:math id="M245" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, is then calculated from
Eq. (6).

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M247" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:mi mathvariant="normal">conv</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">amb</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:mi mathvariant="normal">conv</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hspace{5mm}}?><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">amb</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>C</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">amb</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ref</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

              In this equation the subscripts “amb” and “ref” indicate the ambient and the
reference flow tubes, respectively. A bias in OPR measurements can be
quantified by comparing <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> assuming a conversion efficiency of
100 % for the conversion units.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS5">
  <label>2.3.5</label><title>Sensitivity tests</title>
      <p id="d1e3469">The simulation performed without O<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> losses and HONO production in the
flow tubes, no dilution and no temperature differences between the tubes
will be referred to as the base simulation in the following. All simulations
performed including sensitivity tests are compared to the results from the
base simulation to assess the impact of operating conditions on ozone
production measurements.</p>
      <?pagebreak page747?><p id="d1e3481">To assess the impact of a conversion efficiency lower than 100 %,
<inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is calculated from Eq. (6) by varying
the conversion efficiency using the model outputs from the base simulation.
<inline-formula><mml:math id="M252" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M253" 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> values inferred when varying the conversion efficiency are
compared to values calculated for a conversion efficiency of 100 %. To
account for O<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> losses, a similar sink of O<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> or NO<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> is
introduced in the model for each flow tube, with a first-order loss rate
ranging from 1.5 <inline-formula><mml:math id="M257" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M258" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to 1.2 <inline-formula><mml:math id="M259" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M260" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M261" 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 range of loss rates corresponds to a relative loss of 4–28 %. The
measured <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is again calculated by Eq. (6)
assuming a conversion efficiency of 100 % and compared to the base
simulation. Sensitivity tests were also performed assuming that the loss of
NO<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on the quartz surface led to HONO formation with the same
first-order rate as the NO<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss, or by including a HONO source in the model,
independent of NO<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, with production rates comparable to experimental
observations. Additional sensitivity tests focused on decreasing the
constrained species by 5–30 % to assess the impact of diluting ambient
air in the flow tubes, as well as increasing the temperature of the reference
flow tube by 2 to 20 % to simulate a heat release by the UV filter.
Finally, sensitivity tests were performed to investigate whether reactions of
OH with NO<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mi>z</mml:mi></mml:msub></mml:math></inline-formula> species that produce O<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> could significantly impact the
OPR measurements. NO<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mi>z</mml:mi></mml:msub></mml:math></inline-formula> species producing NO<inline-formula><mml:math id="M269" 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="M270" 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="M271" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
reservoir) in the model when reacting with OH are HONO, HO<inline-formula><mml:math id="M272" 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="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
organic nitrates, HNO<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, PANs and unsaturated PANs (peroxyacyl nitrates).
The NO<inline-formula><mml:math id="M275" 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="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> products of the reactions mentioned above were removed from the
model for the sensitivity test.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Description of the field measurements</title>
      <p id="d1e3759">The OPR instrument was deployed in the field, as part of the Indiana
Radical, Reactivity and Ozone Production Intercomparison campaign
in Bloomington, Indiana, during July 2015. The measurements were taken at
the Indiana University Research and Teaching Preserve (IURTP) field
laboratory (39.1908<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 86.502<inline-formula><mml:math id="M278" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), 2.5 km northeast of the Indiana University
Bloomington campus.</p>
      <p id="d1e3780">The site is a mixed deciduous forest containing northern red oaks and
big-tooth aspens, which are known to be strong emitters of isoprene and
monoterpenes  (Isebrands et al., 1999; Funk et al., 2005). A highway (E
Matlock Road, State Route 45) is located 1 km southwest, and therefore the
site can be impacted by anthropogenic emissions. The OPR flow tubes were
setup on scaffolding to expose them to the sunlight for the entire day.
The conversion units and the CAPS monitor were housed inside the laboratory
and were connected to the flow tubes using 4 m long heated <inline-formula><mml:math id="M279" 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> PFA lines.</p>
      <p id="d1e3801">This campaign included measurements of OH, HO<inline-formula><mml:math id="M280" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>*  (HO<inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:math></inline-formula>RO<inline-formula><mml:math id="M282" 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>, total peroxy radicals (HO<inline-formula><mml:math id="M283" 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>RO<inline-formula><mml:math id="M284" 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>,
total OH reactivity, NO<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, anthropogenic and biogenic VOCs,
radiation and meteorological data. For the measurements presented in this
publication, VOCs were measured by an online TD-GC–FID (thermal desorption and gas chromatography
with flame ionization detection), an online
TD-GC–FID-MS (Badol et al., 2004; Roukos et al., 2009), and offline samplers
for dinitrophenylhydrazine  (DNPH) cartridges (Waters Sep-Pak) and sorbent
cartridges (Carbopack B and Carbopack C) by IMT Lille Douai. Measurements of NO
(chemiluminescence, Thermo Scientific model 42i-TL), NO<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (cavity attenuated phase
shift spectroscopy, Aerodyne Research) and ozone (2B Tech model 202 sensor)
were also conducted by the University of Massachusetts. Measurements of
<inline-formula><mml:math id="M288" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M289" 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> were performed using a scanning actinic flux spectroradiometer
(SAFS, METCON) from the University of Houston, while meteorological data,
including temperature, relative humidity, wind speed and wind direction, were
measured with a meteorological station from Montana State University.</p>
      <p id="d1e3910">The OPR measurements were focused on investigating the sensitivity of
<inline-formula><mml:math id="M290" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M291" 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> to NO<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (see Sect. 3.3). This was achieved by introducing a
certain amount of NO (ppbv range) inside the OPR sampling line for 40 min
and then stopping the NO addition for another 40 min. This pattern was
repeated continuously all along the campaign. The level of NO added in the
flow tubes when the addition was turned ON was kept at a constant level for
several days before changing it for another period of several days. The first
20 min of each 40 min measurement was discarded, since it corresponds to
a transient regime between the disturbed–undisturbed <inline-formula><mml:math id="M293" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M294" 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>
measurements due to the long air-exchange time in the flow tubes (see
Sect. 3.1.1). The addition of NO in the OPR sampling line was performed
through a <inline-formula><mml:math id="M295" 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> o.d. stainless steel tube using an NO cylinder (3.75 ppmv in
N<inline-formula><mml:math id="M296" 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> from Indiana Oxygen and a mass flow controller. After the mixing
point, a length of 10 m of <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> o.d. PFA tubing was used as the sampling line
to ensure a good mixing of NO with the sampled air, leading to a residence
time of approximately 10 s in the line at a total flow rate of
4 L min<inline-formula><mml:math id="M298" 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>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Laboratory characterization</title>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Quantification of the flow tube residence time</title>
      <p id="d1e4044">As described in the experimental section, pulses of toluene were injected in
the flow tubes to quantify the mean residence time. One of the five experiments
that were conducted is shown in Fig. 2. The pulse shape is asymmetric and
exhibits a long tail, indicating that a large range of residence times is
observed in the flow tubes. The toluene pulse is treated as a probability
distribution of the time variable <inline-formula><mml:math id="M299" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>, with the average residence time in the
flow tubes being the mean of the probability distribution. The latter is
calculated as a weighted average of the possible values that the time
variable can take. The average residence time from the five toluene pulse
experiments was 4.52 <inline-formula><mml:math id="M300" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.22 min (1<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The uncertainty reported
for the residence time will lead to a 4.9 % error (1<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> on the
<inline-formula><mml:math id="M303" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M304" 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> measurements. While plug flow conditions are not met in the flow
tubes, it is interesting to note that a residence time of 4.79 min would be
expected from plug flow conditions at a total flow rate of
2.25 L min<inline-formula><mml:math id="M305" 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 a volume of 10.8 L in each flow tube.The asymmetry
of the peak indicates that the flow rate at the central axis of the tube is
larger, with the first molecules of toluene being sampled after approximately
2 min (Fig. 2). These observations are similar to those reported by Cazorla
and Brune (2010) for sampling chambers exhibiting a different geometry and
operated under different flow conditions. A similar asymmetric shape is
observed for the pulse. Further work is needed on the OPR instrument to
reduce the skewness of the time distribution.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e4115">Example of pulse experiments for the quantification of the flow
tube residence time. The pulse of toluene generated at the entrance of the flow
tube at <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> s.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018-f02.png"/>

          </fig>

      <p id="d1e4136">Tests were also performed to quantify the air-exchange time in the flow
tubes. These tests were performed by sampling a constant concentration of
O<inline-formula><mml:math id="M307" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> species with the OPR instrument until a stable O<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> signal was
measured. A quick concentration change in O<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> was then induced at the
inlet and the time needed to reach 95 % of a new stable O<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> signal
was defined as the air-exchange time. The air-exchange time was<?pagebreak page748?> quantified at
approximately 20 min, corresponding to a maximum residence time of 1200 s.
As mentioned in Sect. 2.1, a <inline-formula><mml:math id="M311" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M312" 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> value is recorded every 2 min.
Since the air-exchange time is 20 min, the 2 min <inline-formula><mml:math id="M313" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M314" 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> values are
not independent from each other and therefore the OPR instrument cannot
detect rapid changes in <inline-formula><mml:math id="M315" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M316" 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>. In order to get independent
measurements of <inline-formula><mml:math id="M317" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M318" 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>, the OPR measurements are therefore averaged
over 20 min.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><?xmltex \opttitle{Quantification of O${}_{{x}}$ losses in the flow tubes}?><title>Quantification of O<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> losses in the flow tubes</title>
      <p id="d1e4271">The principle of the OPR instrument requires the only difference between
the two flow tubes to be the suppression of gas-phase photolytic reactions
leading to the formation of free radicals in the reference tube. All other
characteristics, including flow pattern and potential gas–wall interactions,
should be the same in the two flow tubes so that they cancel out in the
differential O<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> measurement. However, if O<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> losses were slightly
different between the two flow tubes, it could significantly impact the
<inline-formula><mml:math id="M322" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M323" 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> measurements. For example, a 2 % difference in O<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
losses between the flow tubes would lead to a bias of 27 ppbv h<inline-formula><mml:math id="M325" 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> on
the measurements for an ambient O<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> level of 100 ppbv and a residence
time of 4.5 min.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e4344">NO<inline-formula><mml:math id="M327" 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="M328" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> relative losses measured during the IRRONIC
field campaign at different relative humidity values. Losses in the ambient
and reference flow tubes are shown in the top and middle panels,
respectively. The bottom panel reports the difference in relative losses
between the two flow tubes. On 28 July O<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> losses were measured under
sunny conditions (orange squares: ambient flow irradiated and reference flow
tube covered by the UV filter;  orange triangles: both flow tubes
irradiated) and dark conditions (orange circles: both flow tubes covered by
an opaque cover).</p></caption>
            <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018-f03.png"/>

          </fig>

      <p id="d1e4380">Figure 3 shows the results of NO<inline-formula><mml:math id="M330" 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="M331" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss tests for the two
flow tubes, performed at different dates during 1 month of field operation
during the IRRONIC campaign and at different relative humidity values. All
NO<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss tests were performed under dark conditions, i.e., with both flow
tubes covered by an opaque cover. Figure 3a, c and e show that the NO<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
loss is lower than 5 % in both flow tubes and is close to 3 % on
average. When the two flow tubes are operated under the same conditions, the
relative loss in the reference tube seems to be higher than the loss in the
ambient tube by only 1 % at most (Fig. 3e). For an ambient NO<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
mixing ratio of 30 ppbv, a difference of 1 % in NO<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> losses between
the flow tubes would lead to a 4 ppbv h<inline-formula><mml:math id="M336" 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> bias in the <inline-formula><mml:math id="M337" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M338" 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>
measurements.</p>
      <p id="d1e4470">Cazorla and Brune (2010) reported an uncertainty of <inline-formula><mml:math id="M339" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>14 % for the
MOPS instrument due to potential differences in relative humidity between the
two sampling chambers, which in turn leads to different NO<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> losses. This
was mainly due to a higher temperature in the reference chamber, which is
covered by the UV filter. However, the fans used on the OPR instrument to
drive the flow of ambient air between the UV filter and the flow tube minimize the
temperature differences between the two tubes, leading to relative humidity
differences lower than 4 %, as observed during the field testing.
Figure 3e also shows that a decrease in relative humidity from 65 to 0 %
only leads to a small decrease in the NO<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss by 1–2 %. A small
difference of 4 % in relative humidity between the two flow tubes is
therefore not expected to lead to additional errors in the <inline-formula><mml:math id="M342" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M343" 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>
measurements. Further analysis of the impact of NO<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> losses on the
<inline-formula><mml:math id="M345" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M346" 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> measurements is discussed in the modeling results section.</p>
      <p id="d1e4546">Ozone loss tests were mainly performed under dark conditions during this
campaign. On 28 July, however, O<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> losses were measured with (a) the
ambient flow tube exposed to the sunlight and the reference tube covered by
the UV filter (orange squares), (b) both flow tubes exposed to the sunlight
(orange triangles) and (c) both tubes covered by a dark cover (orange
circles). For the first days of the campaign (29 June–8 July), a close
inspection of the measurement scatter shown in Fig. 3b, d indicates
that the relative loss of O<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is at most close to 5 %. However, ozone
loss tests performed on 28 July, after 1 month of operation in the field,
revealed an increase in the relative loss of up to 13–15 %.</p>
      <p id="d1e4567">Particular attention should be paid to the three different tests performed on
28 July regarding the irradiation conditions. When the losses are quantified
under dark conditions (orange circles in Fig. 3f), the losses are equal
between the two flow tubes and close to 13 %. However, when the ambient
flow tube is irradiated and the reference is covered by the UV filter (orange
squares), it can be seen that the relative loss in the ambient tube is higher
than in the reference by approximately 3 %. Box modeling has shown that
the gas-phase photolysis of O<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the ambient flow tube could at most
account for 0.05 % of this additional ozone loss. Therefore, there seems
to be a photo-enhanced ozone loss that takes place when the ambient flow tube
is irradiated. For an ambient O<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> level of 50 ppbv, this difference in
O<inline-formula><mml:math id="M351" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> losses would lead to a negative <inline-formula><mml:math id="M352" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M353" 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> bias of approximately
20 ppbv h<inline-formula><mml:math id="M354" 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 id="d1e4629">Additional tests were performed after the campaign under different
conditions of illumination, RH and ozone mixing ratios to thoroughly
investigate the loss of ozone on the quartz material. Overall, these tests
showed that the dark loss can be reduced below 5 % for several days of
ambient measurements if the quartz flow tubes are conditioned with elevated
O<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios at high relative humidity. These results indicate that
the low value observed for the loss after the conditioning period may be due
to (i) a cleanup of the surfaces, removing unsaturated organic species that
may be absorbed on the quartz surface; or (ii) a chemical treatment of the
surface, deactivating sites where ozone could be lost during ambient
measurements. Tests were also<?pagebreak page749?> performed to investigate the potential
photo-enhanced loss of ozone discussed above. These tests were performed by
irradiating the two flow tubes with UV lamps (312 and 365 nm), introducing
known mixtures of ozone–zero air in the flow tubes and varying humidity
and/or light conditions. While a photo-enhanced loss of ozone was not
observed in the reference flow tube covered with the UV filter, a
significant photo-enhanced loss of up to 7.5 % was observed for the
ambient flow tube when the 312 nm lamps were used, with a dependence on
light intensity. In contrast, irradiating the ambient flow tube with the 365 nm
lamps did not lead to a photo-enhanced loss, indicating that lower
wavelengths are inducing the loss process responsible for the photo-enhanced
loss. This issue is further discussed in the field deployment Sect. 3.3.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <label>3.1.3</label><title>Heterogeneous HONO production in the flow tubes</title>
      <p id="d1e4649">The formation of HONO in the flow tubes was investigated in the laboratory
by sampling humid zero air (25–80 % RH) enriched with NO<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at various
mixing ratios (0–100 ppbv) and by measuring HONO at the exit of the tubes as
described above in Sect. 2.2. Both clean and contaminated (used for<?pagebreak page750?> more
than 1 month during the IRRONIC campaign) flow tubes were tested to assess
the magnitude of HONO production rates and to examine whether there is a
dependence on NO<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios, humidity and irradiation. Mixing
ratios of HONO up to 250 and 700 pptv were measured under dark conditions
for clean and contaminated flow tubes, respectively. Higher mixing ratios of
up to 1.5 ppbv were measured under irradiated conditions in the ambient flow
tube (<inline-formula><mml:math id="M358" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 1.4 <inline-formula><mml:math id="M360" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M361" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M362" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>;
<inline-formula><mml:math id="M363" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO) <inline-formula><mml:math id="M364" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.1 <inline-formula><mml:math id="M365" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M366" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M367" 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>.</p>
      <p id="d1e4772">Dividing the measured mixing ratios of HONO by the residence time in the
flow tubes (i.e., 4.5 min), an average production rate can be calculated
under dark and irradiated conditions. It is important to note, however, that
HONO is also photolyzed at the wavelengths emitted by the lamps (312 and
365 nm) and production rates calculated under irradiated conditions
represent lower bounds. It is estimated that, for the <inline-formula><mml:math id="M368" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO) value mentioned
above and a negligible loss of HONO from OH <inline-formula><mml:math id="M369" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> HONO, the HONO production rate
will be underestimated by less than 8 %. The dark HONO production is on
the order of 9 ppbv h<inline-formula><mml:math id="M370" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in both flow tubes, while the total HONO
production under irradiated conditions (dark <inline-formula><mml:math id="M371" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> photo-enhanced) can reach
up to 20 ppbv h<inline-formula><mml:math id="M372" 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 the ambient flow tube. In the reference flow tube,
the UV light did not impact the formation of HONO, since wavelengths below
400 nm are blocked by the UV filter.</p>
      <p id="d1e4820">The HONO production rate was not observed to depend on NO<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or humidity
and HONO could even be released when no 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> was introduced into the
contaminated flow tubes. These results strongly suggest that
nitro-containing compounds and organic photosensitizers were adsorbed on the
walls of the flow tubes and that the HONO production rate depends on
contamination levels. Indeed, it was observed that flowing humid zero air in
the flow tubes for a few days could reduce the HONO production rate to
negligible levels.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS4">
  <label>3.1.4</label><title>Quantification of the conversion efficiency</title>
      <p id="d1e4849">Based on kinetic considerations for the titration reaction of O<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> by NO,
i.e., a rate constant of 1.80 <inline-formula><mml:math id="M376" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M377" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M378" 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="M379" 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="M380" 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
(Atkinson et al., 2004), a
reaction time of 23 s and the addition of 500 ppbv of NO in the
conversion unit, an 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>-to-NO<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> conversion efficiency of 99.5 %
is expected. These calculations are shown in Fig. 4 (black solid line) for
different mixing ratios of NO (50–800 ppbv) together with laboratory
measurements (symbols) made at different O<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels. This figure shows
that a plateau of almost 100 % conversion is observed at NO mixing
ratios higher than 500 ppbv. These experimental results are in good
agreement with the calculated curve, although the measurements performed at
a low O<inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio of 3.5 ppbv slightly underpredict the curve for
NO mixing ratios lower than 500 ppbv. However, the conversion plateau is
reached for all O<inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels and both conversion units (one for each flow
tube) for NO mixing ratios higher than 500 ppbv. During the field deployment
of the instrument, an NO mixing ratio of 650 ppbv was used to ensure that
the difference in conversion efficiency between the two mixing chambers was
lower than 0.1 % and could be assumed to be 100 % for both chambers.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e4961">O<inline-formula><mml:math id="M386" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-NO<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> conversion efficiency for various NO mixing
ratios, O<inline-formula><mml:math id="M388" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels and relative humidity values. The black curve was
calculated from the reaction rate constant between O<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> and NO and a
reaction time of 23 s. Open symbols (3.5 ppbv O<inline-formula><mml:math id="M390" 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> are hidden behind the
plain symbols for NO &gt; 500 ppbv. “Ref.” and “Amb.” refer to
the conversion units coupled to the reference and ambient flow tubes,
respectively.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018-f04.png"/>

          </fig>

      <p id="d1e5018">In the first version of MOPS    (Cazorla and Brune, 2010) the
NO<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-to-O<inline-formula><mml:math id="M392" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> conversion was performed by photolyzing NO<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> using a
light-emitting diode, achieving a maximum conversion efficiency of 88 % at
17 ppbv of NO<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. In the most recent version of the instrument
(Baier et al., 2015), the conversion efficiency was increased to
88–97 % for NO<inline-formula><mml:math id="M395" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios lower than 35 ppbv using a
highly efficient UV lamp that provided 10 times more photons than the
light-emitting diodes. In the MOPS instrument, however, the conversion
efficiency depends on NO<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels, as well as on the intensity of the
lamp that could drift during a long period of use in the field. In the OPR
instrument, the conversion efficiency is stable and does not depend on
O<inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios. On the other hand, an NO cylinder is required to
perform the conversion and possible NO<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> impurities in the cylinder have
to be monitored. Indeed, NO<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> impurities coming either from the NO
mixture or from NO oxidation in the lines were observed but were kept at low
levels of approximately 6–10 ppbv. Since this impurity is present in both
the ambient and reference channel, it does not affect the <inline-formula><mml:math id="M400" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M401" 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>
determination.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS5">
  <label>3.1.5</label><title>Detection limit of the OPR</title>
      <p id="d1e5131">The detection limit (DL) of the CAPS monitor was quantified by sampling zero
air for several hours after several days of conditioning with ambient air.
The time resolution was set to 1 s and the zero measurements were averaged
over 45 s segments, corresponding to the OPR measurement averaging time. The
detection limit (3<inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for a 45 s<?pagebreak page751?> integration time was quantified at
34 pptv. This detection limit for NO<inline-formula><mml:math id="M403" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> together with a residence time of
4.5 min in the flow tubes should lead to a detection limit of
0.6 ppbv h<inline-formula><mml:math id="M404" 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 2 min <inline-formula><mml:math id="M405" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M406" 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> measurements (1 min measurement
from each flow tube). However, nighttime measurements made during the IRRONIC
field campaign revealed that the measurement scattering for the complete
setup (flow tubes <inline-formula><mml:math id="M407" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-NO<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> conversion unit <inline-formula><mml:math id="M410" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CAPS) was
significantly larger than that expected from the noise of the CAPS monitor.
Based on the observed nighttime 1<inline-formula><mml:math id="M411" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> variability of
2.1 ppbv h<inline-formula><mml:math id="M412" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, a limit of detection (3<inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of 6.2 ppbv h<inline-formula><mml:math id="M414" 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>
was inferred for the OPR instrument. The scatter in <inline-formula><mml:math id="M415" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M416" 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> measurements
does not only depend on the precision of the CAPS monitor, but also depends
on how fast each flow tube responds to variations in O<inline-formula><mml:math id="M417" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> at the inlet.
Indeed, if the time constant for the response is slightly different between
the two flow tubes, fluctuations of O<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> species at the inlet will introduce
some scatter in the OPR measurements. In addition, small changes in
temperature and humidity may evenly affect O<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> losses in each flow tube,
leading to additional scatter in the <inline-formula><mml:math id="M420" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M421" 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> measurements.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Numerical modeling</title>
      <p id="d1e5334">As mentioned in the experimental section, several days from different field
campaigns were selected to model ambient <inline-formula><mml:math id="M422" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M423" 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>, <inline-formula><mml:math id="M424" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M425" 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> in both
flow tubes and the impact of some operating conditions on the OPR
measurements. The results from 30 May 2010 of the CalNex field campaign were
selected to illustrate the discussion, and results from the other days are
shown in the Supplement (Figs. S4, S5, S7–S9). A detailed analysis of the
chemistry occurring in each flow tube is discussed below to assess the
reliability of OPR measurements.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e5377">OH <bold>(a, b)</bold> and total peroxy (HO<inline-formula><mml:math id="M426" 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>RO<inline-formula><mml:math id="M427" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>;
<bold>c, d</bold>) radical budgets for 30 May 2010 of the CalNex 2010 campaign.
Radical budgets modeled for the ambient <bold>(a, c)</bold> and the
reference <bold>(b, d)</bold> flow tubes. The OH chain length is also presented
in an insert <bold>(a, b)</bold> for each flow tube. “Init” in the legend
indicates initiation reactions and “hv” represents photons.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018-f05.png"/>

        </fig>

<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Radical budget in flow tubes</title>
      <p id="d1e5430">An analysis of the radical budget was performed in each flow tube to gain
insights into the processes driving radical production and loss routes.
Figure 5 shows the production and loss rates of OH (upper panel) and peroxy
radicals (lower panel) for each flow tube on 30 May 2010 during CalNex. The
production and loss rates were calculated taking into account initiation,
propagation and termination processes as described below.</p>
      <p id="d1e5433">OH production rates were calculated from photolytic reactions involving
closed shell molecules (O<inline-formula><mml:math id="M428" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HONO, H<inline-formula><mml:math id="M429" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M430" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M431" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
HO<inline-formula><mml:math id="M432" 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="M433" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and organic peroxides), reactions of O<inline-formula><mml:math id="M434" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with alkenes
and the propagation of HO<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> by reaction with NO. Loss routes of OH
include propagation reactions to HO<inline-formula><mml:math id="M436" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and RO<inline-formula><mml:math id="M437" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by reaction with CO
and VOCs and termination reactions of OH with NO<inline-formula><mml:math id="M438" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and other species
(NO, PANs, HNO<inline-formula><mml:math id="M439" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HONO and HNO<inline-formula><mml:math id="M440" 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>. For peroxy radicals, production
routes include the photolysis of organic species (carbonyls, organic
peroxides and organic nitrates), the ozonolysis of alkenes, PAN
decomposition and the propagation of OH. Loss routes were calculated from
reactions of peroxy radicals with NO<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, self or cross reactions between
peroxy radicals, and propagation of HO<inline-formula><mml:math id="M442" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to OH.</p>
      <p id="d1e5576">Figure 5 clearly shows that the UV filter covering the reference flow tube
leads to a decrease in the initiation rates of all radicals by more than a
factor of 10 and a decrease in their propagation rates by at least a factor
of 30. In the ambient flow tube, photolytic reactions of oxygenated VOCs are the most
important initiation routes of peroxy radicals, with a contribution of
approximately 95 %. HONO and O<inline-formula><mml:math id="M443" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> photolysis are the most important
initiation routes of OH, contributing approximately 45 % each. In the
reference flow tube, the primary route of radical initiation is
O<inline-formula><mml:math id="M444" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>–alkenes reactions since wavelengths below 400 nm are suppressed.</p>
      <p id="d1e5597">The propagation reactions are important in both flow tubes for the
production and loss of OH and peroxy radicals. However, the partitioning
between initiation and propagation processes is different in the two tubes,
which in turn leads to different OH chain lengths. The OH chain length is
calculated as the rate of propagation of HO<inline-formula><mml:math id="M445" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to OH divided by the total
initiation of RO<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> radicals. As can be seen from Fig. 5, the OH chain
length is fairly constant at a value of 3 in the ambient flow tube, while in
the reference flow tube it quickly decreases to unity for most of the day
and to values lower than unity in the late afternoon. Therefore, in addition
to lowering initiation rates of radicals, the UV filter allows the reduction
of ozone production by lowering the cycling efficiency within the pool of
RO<inline-formula><mml:math id="M447" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> radicals.</p>
      <p id="d1e5628">A close inspection of the radical termination rates in Fig. 5 indicates that
the peroxy–NO<inline-formula><mml:math id="M448" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> termination reactions are almost suppressed in the
reference flow tube. This observation is also supported by Fig. S6, which
shows time series of the peroxy radicals (HO<inline-formula><mml:math id="M449" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and RO<inline-formula><mml:math id="M450" 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> and NO in
each flow tube at a residence time of 4.5 min. Since 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> photolysis is
almost eliminated in this tube, the 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>–NO<inline-formula><mml:math id="M453" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> PSS is shifted towards
NO<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> due to the reaction of NO with O<inline-formula><mml:math id="M455" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. As a result, NO mixing
ratios in the reference flow tube are at least 1 order of magnitude lower
than in the ambient flow tube. The propagation rate from HO<inline-formula><mml:math id="M456" 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 is
therefore reduced and the OH <inline-formula><mml:math id="M457" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M458" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss route is enhanced, leading
to the shorter OH chain length discussed above. It is also interesting to
note that peroxy radical mixing ratios in the reference flow tube are of the
same order of magnitude as in the ambient flow tube. This counterintuitive
observation is also due to the consumption of NO in the reference flow tube
that leads to a longer lifetime for the peroxy radicals, as shown in Fig. S6.</p>
      <p id="d1e5735">Calculating <inline-formula><mml:math id="M459" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M460" 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> from Eqs. (1) to (3) results in ozone production rates
in the ambient flow tube, <inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">amb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, in good
agreement with the modeled <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, as
shown in Fig. 6, with a small underestimation of approximately 10 % on
average. However, significant ozone production rates are also observed in the
reference flow tube, which can reach up to 4 ppbv h<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> on this day,
while higher values were observed on other days (e.g., 30 ppbv h<inline-formula><mml:math id="M464" 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> on
21 March 2006 of the MCMA 2006 campaign, Fig. S10). Ozone production<?pagebreak page752?> rates in
the reference flow tube are about 10–15 % of that observed in the
ambient flow tube for most of the day. It is important to note, however, that
this ozone production is in reality O<inline-formula><mml:math id="M465" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M466" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math id="M467" 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="M468" 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>
production, since NO<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> photolysis is almost suppressed in the reference
flow tube. These results indicate that the assumptions initially made on the
principle for <inline-formula><mml:math id="M470" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M471" 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> measurements, i.e that <inline-formula><mml:math id="M472" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M473" 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> in the ambient
flow tube mimics <inline-formula><mml:math id="M474" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M475" 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> in the atmosphere and <inline-formula><mml:math id="M476" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M477" 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> in the
reference flow tube is not significant, are not completely fulfilled. Based
on the modeling results discussed above, the accuracy of the measurements
could be significantly impacted by O<inline-formula><mml:math id="M478" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> production in the reference flow
tube.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e5960">Modeling comparison of <inline-formula><mml:math id="M479" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M480" 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> values. <bold>(a)</bold> Ozone
production rates modeled for the atmosphere, <inline-formula><mml:math id="M481" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; the
ambient flow tube, <inline-formula><mml:math id="M483" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">amb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; and the reference flow tube,
<inline-formula><mml:math id="M485" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">ref</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, for 30 May 2010 of the CalNex 2010
campaign. <bold>(b)</bold> Comparison of modeled ozone production rates for the
OPR, <inline-formula><mml:math id="M487" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and the atmosphere,
<inline-formula><mml:math id="M489" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, for 30 May 2010. Inserts: correlations between
<inline-formula><mml:math id="M491" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M493" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">amb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> as well as
between <inline-formula><mml:math id="M495" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M497" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>,
color-coded by the time of day.</p></caption>
            <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018-f06.png"/>

          </fig>

      <p id="d1e6202"><inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was calculated from Eq. (6), using an
O<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>-to-NO<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> conversion efficiency of 100 %, and is also shown in
Fig. 6. As discussed above, <inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
underestimates the modeled <inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, mainly due
to significant O<inline-formula><mml:math id="M504" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> production in the reference flow tube. The scatterplot shown as insert in this figure indicates that a negative bias of
approximately 20 % would be observed for <inline-formula><mml:math id="M505" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M506" 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> measurements
performed on this day. A negative bias ranging from 15 to 20 % was observed
during the other 3 days that were modeled (Fig. S11).</p>
      <?pagebreak page753?><p id="d1e6311">As mentioned in the experimental section, concentrations of peroxy radicals
obtained as model outputs from the modeling of
<inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were constrained for the simulations
inside the flow tubes, assuming that most of these species are not lost if a
short high-flow rate sampling inlet is used. However, simulations were also
performed without constraining the peroxy radicals to assess the impact on
the simulation results. These simulations have shown that <inline-formula><mml:math id="M508" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M509" 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> values are
lower by 10 and 30 % in the ambient and reference flow tubes,
respectively, when peroxy radicals are not constrained. Overall, the measured
ozone production, which is the difference between <inline-formula><mml:math id="M510" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M511" 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> in the two
flow tubes, would only decrease by 2–4 %. Therefore, not constraining
peroxy radicals in the simulations does not impact the comparison between
<inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, with
<inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> underestimating
<inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by 15–20 %.</p>
      <p id="d1e6454">However, the reason for this disagreement depends on whether peroxy radicals
are constrained. When peroxy radicals are constrained, the disagreement is
mainly caused by O<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> production in the reference flow tube. In contrast,
when peroxy radicals are not constrained, this disagreement is due
to an underestimation of <inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by <inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">amb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This
underestimation is the result of a latency in the first part of the ambient
flow tube due to the time needed to reproduce the radicals, which is on the
order of 1–2 min. It is very likely that only a fraction of the peroxy
radicals will be transferred to the flow tubes and a combination of the two
issues discussed above will lead to the negative bias of 15–20 %.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e6508">Sensitivity tests performed for 30 May 2010 (CalNex 2010) to assess
the impact on the <inline-formula><mml:math id="M519" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M520" 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> measurements of the <bold>(a)</bold> O<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-NO<inline-formula><mml:math id="M522" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> conversion efficiency, <bold>(b)</bold> NO<inline-formula><mml:math id="M523" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
and <bold>(c)</bold> O<inline-formula><mml:math id="M524" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> dark losses, <bold>(d)</bold> heterogeneous HONO
formation, <bold>(e)</bold> dilution of ambient air and <bold>(f)</bold> NO<inline-formula><mml:math id="M525" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
loss towards HONO production in the flow tubes. The results presented here
correspond to the 2 h of the day identified as lower (blue squares) and
upper (orange squares) limits of the impact on the <inline-formula><mml:math id="M526" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M527" 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> measurements.
The daily average behavior is also shown using green triangles.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018-f07.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Sensitivity tests – assessment of the impact of operating conditions on OPR
measurements</title>
      <?pagebreak page754?><p id="d1e6629">Figure 7 shows the dependence of <inline-formula><mml:math id="M528" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> on the
O<inline-formula><mml:math id="M530" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-NO<inline-formula><mml:math id="M531" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> conversion efficiency, O<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> and 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>
surface losses, surface production of HONO and a dilution of the sampled
air. The results are displayed for two different times of the day,
characterized by different O<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> and NO<inline-formula><mml:math id="M535" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios, which have
been identified as upper (orange squares) and lower (blue squares) limits for
the impact on the <inline-formula><mml:math id="M536" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M537" 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> measurements. In addition, these results are
also displayed using daily averaged values (green triangles), which are more
representative of the average impact of a particular parameter on
<inline-formula><mml:math id="M538" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M539" 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> measurements. The figures described below are for the CalNex
campaign during 30 May 2010. Results from the other days are shown in the
Supplement (Figs. S12–S14).</p>
      <p id="d1e6748">Figure 7a shows that <inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is very sensitive
to the O<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>-to-NO<inline-formula><mml:math id="M542" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> conversion efficiency. For instance, a conversion
efficiency of 85 % would lead to an underestimation of the <inline-formula><mml:math id="M543" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M544" 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>
measurements by 20–60 % (<inline-formula><mml:math id="M545" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 35 % on average), depending on
the chemical composition of the air mass. It is interesting to see that the
change in <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, expressed as the ratio
between <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at a conversion efficiency lower
than 100 % and <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at a conversion
efficiency of 100 % (base simulation), changes linearly with the
conversion efficiency. The slope of the straight line can be used as an
indicator to gauge the impact of the conversion efficiency on <inline-formula><mml:math id="M549" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M550" 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>
measurements throughout the day. As can be seen from Eq. (6), for the
limiting case of <inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0, the measured <inline-formula><mml:math id="M552" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M553" 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> is determined by the
absolute NO<inline-formula><mml:math id="M554" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> difference between the two flow tubes. The
O<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>–NO<inline-formula><mml:math id="M556" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> PSS is shifted towards NO<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> in the reference flow tube,
due to the lack of NO<inline-formula><mml:math id="M558" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> photolysis, reducing the NO<inline-formula><mml:math id="M559" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> difference
between the two tubes and lowering the measured <inline-formula><mml:math id="M560" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M561" 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>. These results
stress the need to reach a conversion efficiency better than 98 % to
keep this artifact below 5 %. The OPR instrument described in this study
exhibits a conversion efficiency higher than 99.9 % and is not impacted
by this issue.</p>
      <?pagebreak page755?><p id="d1e6999">Relative surface losses of 3 and 5 % have been observed for NO<inline-formula><mml:math id="M562" 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="M563" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, respectively, during the laboratory and field testing (Sect. 3.1.2).
Figure 7b shows that a relative 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> loss of 3 % in the flow tubes
can lead to an overestimation of up to 8 % (<inline-formula><mml:math id="M565" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 3 % on
average). On the other hand, Fig. 7c shows that a 5 % relative loss of
O<inline-formula><mml:math id="M566" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can lead to an underestimation of up to 30 % (<inline-formula><mml:math id="M567" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 5 %
on average). These contrasting effects can be explained as follows: ozone in
the reference flow tube is lower than in the ambient flow tube, due to the
conjunction of a lower production rate of ozone and a shift of the
O<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>–NO<inline-formula><mml:math id="M569" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> PSS towards NO<inline-formula><mml:math id="M570" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. A similar relative loss of ozone in
the two flow tubes will therefore lead to a larger absolute loss of O<inline-formula><mml:math id="M571" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
species in the ambient flow tube, which in turn will lead to an
underestimation of the <inline-formula><mml:math id="M572" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M573" 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> measurements (Eq. 6). In contrast,
NO<inline-formula><mml:math id="M574" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is higher in the reference flow tube and a loss of NO<inline-formula><mml:math id="M575" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> will
lead to a larger absolute loss of O<inline-formula><mml:math id="M576" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> species in the reference flow tube
and, as a consequence, to an overestimation of the <inline-formula><mml:math id="M577" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M578" 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> measurements.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e7159">Sources of errors on <inline-formula><mml:math id="M579" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M580" 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> measurement. Upper limits and
campaign averages of errors assessed from modeling the selected days of the
MCMA 2006 and CalNex 2010 field campaigns (see text). FT: flow
tube.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="99.584646pt"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sources of errors</oasis:entry>
         <oasis:entry colname="col2">Value</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center">Negative bias on <inline-formula><mml:math id="M584" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M585" 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></oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">Positive bias on <inline-formula><mml:math id="M586" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M587" 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></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">average</oasis:entry>
         <oasis:entry colname="col4">(upper limit)</oasis:entry>
         <oasis:entry colname="col5">average</oasis:entry>
         <oasis:entry colname="col6">(upper limit)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Residence time (s)</oasis:entry>
         <oasis:entry colname="col2">271 <inline-formula><mml:math id="M588" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13<inline-formula><mml:math id="M589" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M590" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.9 %<inline-formula><mml:math id="M591" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M592" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>4.9 %<inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M594" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4.9 %<inline-formula><mml:math id="M595" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M596" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>4.9 %<inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">O<inline-formula><mml:math id="M598" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production <?xmltex \hack{\hfill\break}?>in reference FT and <?xmltex \hack{\hfill\break}?>latency in ambient FT</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M599" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18 %<inline-formula><mml:math id="M600" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M601" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>20 %<inline-formula><mml:math id="M602" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">O<inline-formula><mml:math id="M603" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss</oasis:entry>
         <oasis:entry colname="col2">5 %<inline-formula><mml:math id="M604" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M605" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 %<inline-formula><mml:math id="M606" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M607" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>25 %<inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">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> loss</oasis:entry>
         <oasis:entry colname="col2">&lt; 3 %<inline-formula><mml:math id="M610" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">5 %<inline-formula><mml:math id="M611" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M612" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>11 %<inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">HONO production</oasis:entry>
         <oasis:entry colname="col2">up to 20 ppbv h<inline-formula><mml:math id="M614" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula><inline-formula><mml:math id="M615" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M616" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>27 %<inline-formula><mml:math id="M617" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M618" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>40 %<inline-formula><mml:math id="M619" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Dilution of sampled air</oasis:entry>
         <oasis:entry colname="col2">10 %<inline-formula><mml:math id="M620" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M621" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8 %<inline-formula><mml:math id="M622" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M623" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>9 %<inline-formula><mml:math id="M624" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Temperature increase <?xmltex \hack{\hfill\break}?>in reference FT</oasis:entry>
         <oasis:entry colname="col2">5 %<inline-formula><mml:math id="M625" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M626" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 %<inline-formula><mml:math id="M627" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M628" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>5 %<inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">O<inline-formula><mml:math id="M630" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> formation <?xmltex \hack{\hfill\break}?>from OH <inline-formula><mml:math id="M631" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M632" display="inline"><mml:msub><mml:mi/><mml:mi>z</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M633" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>3 %<inline-formula><mml:math id="M634" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M635" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>3 %<inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Conservative sum <?xmltex \hack{\hfill\break}?>of biases</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M637" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>44 %</oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M638" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>64 %)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M639" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>40 %</oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M640" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>59 %)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e7181"><inline-formula><mml:math id="M581" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> From laboratory testing; <inline-formula><mml:math id="M582" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> from model
simulations; <inline-formula><mml:math id="M583" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> from estimation.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e7932">Time series of selected trace gases, <inline-formula><mml:math id="M641" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M642" 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>, measured <inline-formula><mml:math id="M643" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M644" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M645" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:math></inline-formula>(O<inline-formula><mml:math id="M646" 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> values during 4 days of the IRRONIC
campaign when 6 ppbv of NO was intermittently added in the flow tubes. The
light colors on <inline-formula><mml:math id="M647" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M648" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> correspond to 2 min measurements while the
darker colors are 20 min averaged values. Error bars on <inline-formula><mml:math id="M649" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:math></inline-formula>(O<inline-formula><mml:math id="M650" 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>
are 1<inline-formula><mml:math id="M651" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> on the averaged 20 min measurements.</p></caption>
            <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/741/2018/amt-11-741-2018-f08.png"/>

          </fig>

      <p id="d1e8044">Figure 7d shows how a heterogeneous production of HONO can impact the
<inline-formula><mml:math id="M652" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M653" 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> measurements. In these simulations, a HONO source was added in
the model, with a production rate of 10 ppbv h<inline-formula><mml:math id="M654" 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 both flow tubes
(dark HONO production) and an additional varying production rate in the
ambient flow tube (enhanced HONO production). The <?xmltex \hack{\mbox\bgroup}?><inline-formula><mml:math id="M655" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis<?xmltex \hack{\egroup}?> presents
the HONO production rate in the ambient flow tube, where 10 ppbv h<inline-formula><mml:math id="M656" 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>
corresponds to the dark production only. Moreover, this figure indicates that
HONO production rates of 20 ppbv h<inline-formula><mml:math id="M657" 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 the ambient flow tube, similar
to experimental observations, can lead to an overestimation of the
<inline-formula><mml:math id="M658" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M659" 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> measurements by up to 40 % (<inline-formula><mml:math id="M660" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 27 % on
average). This overestimation results from HONO photolysis in the ambient
tube, which leads to additional OH production, which in turn leads to an
enhancement of VOC-oxidation rates and ozone production. Additional
simulations were also performed assuming that NO<inline-formula><mml:math id="M661" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> molecules lost on the
surface were equally converted into HONO in both flow tubes (Fig. 7f),
although it is unlikely that the conversion yield of NO<inline-formula><mml:math id="M662" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> into HONO is
100 %. The results indicate that, for a relative NO<inline-formula><mml:math id="M663" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss of
3 %, <inline-formula><mml:math id="M664" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M665" 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> could be overestimated by up to 15 % (10 % on
average). Note that the impact of this HONO formation adds up to the
previously discussed overestimation due to the NO<inline-formula><mml:math id="M666" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss.</p>
      <p id="d1e8195">Figure 7e displays how the injection of zero air at the periphery on the PTFE
inlets impacts <inline-formula><mml:math id="M667" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M668" 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> measurement through a dilution of the sampled
air. As can be seen from this figure, a 10 % dilution leads to a less than
9 % underestimation of <inline-formula><mml:math id="M669" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M670" 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>.</p>
      <p id="d1e8236">Additional sensitivity tests (not shown) were performed to test the impact
of a temperature increase in the reference flow tube due to heat release by
the UV filter, as well as reactions of OH with NO<inline-formula><mml:math id="M671" display="inline"><mml:msub><mml:mi/><mml:mi>z</mml:mi></mml:msub></mml:math></inline-formula> species that produce
NO<inline-formula><mml:math id="M672" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. A temperature increase of 5 % in the reference flow tube
(1 <inline-formula><mml:math id="M673" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C increase at 20 <inline-formula><mml:math id="M674" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) can lead to an underestimation of up to
5 %, while the O<inline-formula><mml:math id="M675" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> production from reactions of OH with NO<inline-formula><mml:math id="M676" display="inline"><mml:msub><mml:mi/><mml:mi>z</mml:mi></mml:msub></mml:math></inline-formula>
species can lead to an overestimation of up to 3 %.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><?xmltex \opttitle{Conclusions on potential biases on $P$(O${}_{{x}})_{\mathrm{OPR}}$
measurements}?><title>Conclusions on potential biases on <inline-formula><mml:math id="M677" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M678" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">OPR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
measurements</title>
      <p id="d1e8325">From the above discussion, we can conclude that there are two main sources of
errors. The first source of errors is due to O<inline-formula><mml:math id="M679" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> production in the
reference flow tube and the latency for RO<inline-formula><mml:math id="M680" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reformation in the ambient flow
tube, with the extent of each depending on the fraction of ambient peroxy radicals
that is transmitted into the flow tubes. The combination of these two issues
can lead to an underestimation of ambient <inline-formula><mml:math id="M681" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M682" 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> by 15–20 % on
average for the conditions observed during the MCMA 2006 and CalNex 2010 campaigns. The
second main source of errors is caused by a surface production of HONO in the
ambient flow tube. Based on a HONO production rate of 20 ppbv h<inline-formula><mml:math id="M683" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
<inline-formula><mml:math id="M684" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M685" 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> would be overestimated by approximately 30 % on average.
Additional sources of errors are due to the 4.9 % uncertainty on the flow
tube residence time, 5 % O<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> and 3 % NO<inline-formula><mml:math id="M687" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> surface losses, the
dilution by 10 % of the sampled air, a possible temperature increase of
5 % in the reference flow tube and O<inline-formula><mml:math id="M688" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> production from reactions of
OH with NO<inline-formula><mml:math id="M689" display="inline"><mml:msub><mml:mi/><mml:mi>z</mml:mi></mml:msub></mml:math></inline-formula> species. Daily averaged values and upper bounds of errors
associated with these factors, as derived from all modeled days, are reported
in Table 1.</p>
      <p id="d1e8433">Based on the daily average values reported in Table 1, direct sums of the
potential negative and positive biases lead to <inline-formula><mml:math id="M690" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>44 and <inline-formula><mml:math id="M691" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>40 %,
respectively. However, the magnitude of each error will depend on the
atmospheric composition and positive errors will, to some extent, cancel out
with negative errors. A quadratic sum of all these potential errors leads to a
range of <inline-formula><mml:math id="M692" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>36 %. The estimation of these errors is based on ambient
conditions observed in two different environments, with different air
compositions for 4 different days. It is safe to assume that similar error
values would be observed in other urban environments.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Current limitations for field operation</title>
      <p id="d1e8466">As mentioned in Sect. 2.4, OPR measurements were performed during the IRRONIC
field campaign. Figure 8 displays time series for a subset of measurements
performed from 10 to 14 July 2015, including two anthropogenic VOCs (toluene
and acetylene), a biogenic VOC (isoprene) and inorganic species (O<inline-formula><mml:math id="M693" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO
and NO<inline-formula><mml:math id="M694" 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>. It is clear from this figure that the measurement site was
mainly impacted by biogenic emissions, with isoprene reaching at least
5 ppbv most of the days, while anthropogenic VOCs were low
(&lt; 500 pptv). In addition, NO<inline-formula><mml:math id="M695" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels were lower than 3 ppbv
on these days, confirming the low impact of anthropogenic emissions. These
observations indicate that the photochemistry was mainly driven by the
oxidation of biogenic VOCs under low NO<inline-formula><mml:math id="M696" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions, similar to those
observed in other forested areas (Griffith et al., 2013). Isoprene is very
reactive with the hydroxyl radical and the strong diurnal variation in this
species led to a large range of OH reactivity (from a few
s<inline-formula><mml:math id="M697" 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> up to 30 s<inline-formula><mml:math id="M698" 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>,
not shown). The conjunction of the latter with low levels of NO<inline-formula><mml:math id="M699" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> makes
this a site of particular interest to study the sensitivity of ozone
formation to NO<inline-formula><mml:math id="M700" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> by adding NO<inline-formula><mml:math id="M701" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> in the OPR instrument as described in
the experimental Sect. 2.4.</p>
      <p id="d1e8560">Due to the low levels of ambient NO<inline-formula><mml:math id="M702" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, ozone production rates at the site
were lower than the OPR detection limit of 6.2 ppbv h<inline-formula><mml:math id="M703" 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> (Sect. 3.1.5).
Indeed, <inline-formula><mml:math id="M704" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M705" 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> calculations based on total peroxy radical measurements
performed using the peroxy radical chemical amplifier technique indicated
peak ozone production rates of approximately 2 ppbv h<inline-formula><mml:math id="M706" 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> (not<?pagebreak page756?> shown).
Ambient measurements performed by the OPR instrument without addition of NO
should therefore be scattered around zero within the measurement precision.
Figure 8 also displays <inline-formula><mml:math id="M707" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M708" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> values (difference in O<inline-formula><mml:math id="M709" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> mixing
ratios between the two flow tubes) measured by the instrument without the
addition of NO (<inline-formula><mml:math id="M710" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M711" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, blue diamonds). While <inline-formula><mml:math id="M712" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M713" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was scattered around zero during nighttime, it
consistently exhibited large negative values during daytime (<inline-formula><mml:math id="M714" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>1 to
<inline-formula><mml:math id="M715" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 ppbv), indicating that O<inline-formula><mml:math id="M716" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> mixing ratios in the ambient flow tube
were lower than in the reference flow tube.</p>
      <p id="d1e8703">It is interesting to note that <inline-formula><mml:math id="M717" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M718" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> values are
anticorrelated with <inline-formula><mml:math id="M719" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M720" 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> (Fig. 8). Covering the ambient flow tube
with a similar UV filter than the reference flow tube, i.e., operating the
two tubes under similar irradiation, showed that <inline-formula><mml:math id="M721" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M722" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> increases
towards less negative values and ultimately reaches zero. This behavior
indicates that the higher loss rate of O<inline-formula><mml:math id="M723" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> species in the ambient flow
tube is due to the solar irradiation and points towards a photo-enhanced
surface loss of O<inline-formula><mml:math id="M724" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> species initiated by photons at wavelengths lower
than 400 nm. As ambient NO<inline-formula><mml:math id="M725" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios were much lower than the
observed loss of O<inline-formula><mml:math id="M726" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, this photo-enhanced loss involves a loss of ozone.
For an ambient O<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> level of 40 ppbv, as usually observed during the
field measurements, a <inline-formula><mml:math id="M728" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M729" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M730" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 ppbv corresponds to a
7.5 % difference in O<inline-formula><mml:math id="M731" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> losses between the two flow tubes and an ozone
loss rate higher by approximately 39 ppbv h<inline-formula><mml:math id="M732" 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 the ambient flow tube
compared to the reference flow tube. This issue was further investigated in
the laboratory. As mentioned in Sect. 3.1.2, tests performed using
artificial irradiation and mixtures of humid air and ozone confirmed that
light-induced processes at wavelengths lower than 400 nm lead to a loss of
ozone at the surface of the ambient flow tube. It was found that this loss
depends on ambient ozone levels, <inline-formula><mml:math id="M733" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> values and absolute humidity.</p>
      <p id="d1e8861">This version of the OPR instrument is therefore not suitable to perform
ambient <inline-formula><mml:math id="M734" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M735" 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> measurements since the measured <inline-formula><mml:math id="M736" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M737" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> is a
combination of ambient ozone production and surface-O<inline-formula><mml:math id="M738" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> losses in the
ambient flow tube. For this reason, the OPR measurements were focused on
investigating the sensitivity of <inline-formula><mml:math id="M739" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M740" 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> to NO<inline-formula><mml:math id="M741" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, by recording the
relative change in <inline-formula><mml:math id="M742" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M743" 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> when the chemical composition of ambient air
was perturbed by an addition of NO. For these measurements, it is assumed
that <inline-formula><mml:math id="M744" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M745" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is representative of the instrumental
zero and <inline-formula><mml:math id="M746" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M747" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> measurements are referred to as
the “baseline” in the following. <inline-formula><mml:math id="M748" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M749" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> measurements performed with
an addition of NO are assumed to deviate from <inline-formula><mml:math id="M750" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M751" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
due to a change in ozone production in the ambient flow tube, while the
surface loss of ozone is assumed to be unchanged. This measurement step is
denoted <inline-formula><mml:math id="M752" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M753" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">NO</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. The difference between <inline-formula><mml:math id="M754" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M755" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M756" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M757" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">NO</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> divided by the
residence time in the flow tubes therefore provides a quantification of the
change in <inline-formula><mml:math id="M758" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M759" 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>, referred to as <inline-formula><mml:math id="M760" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M761" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M762" 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>, due to the addition
of NO. The validity of the assumption that the O<inline-formula><mml:math id="M763" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> photo-enhanced
surface loss is not disturbed by the addition of NO is discussed below.</p>
      <?pagebreak page757?><p id="d1e9144">Investigating the ozone production sensitivity to NO is outside the scope of
this paper and we only present measurements performed when 6 ppbv of NO was
added in the instrument to illustrate its current performances and
limitations. Figure 8 displays time series of <inline-formula><mml:math id="M764" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M765" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">NO</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
(orange diamonds) when 6 ppbv of NO was added in the flow tubes. When NO is
added, there is almost no change in <inline-formula><mml:math id="M766" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M767" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> during nighttime. In
the absence of sunlight, NO only converts O<inline-formula><mml:math id="M768" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> into NO<inline-formula><mml:math id="M769" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and the
amount of O<inline-formula><mml:math id="M770" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> measured by the CAPS monitor does not change. During
daytime, <inline-formula><mml:math id="M771" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M772" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">NO</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is higher than <inline-formula><mml:math id="M773" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M774" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>,
suggesting production of ozone in the ambient flow tube. The difference
between <inline-formula><mml:math id="M775" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M776" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">NO</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M777" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M778" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, divided by
the residence time in the flow tubes, represents the change in ozone
production rates and is displayed in the bottom panel of Fig. 8 as <inline-formula><mml:math id="M779" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M780" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M781" 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>. Changes in ozone production of up to 20 ppbv h<inline-formula><mml:math id="M782" 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>, well
correlated with <inline-formula><mml:math id="M783" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M784" 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>, are observed for these days. With ozone production
being NO<inline-formula><mml:math id="M785" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> limited in this environment, a positive change in
<inline-formula><mml:math id="M786" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M787" 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> is indeed expected when a small amount of NO<inline-formula><mml:math id="M788" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> is added to
the flow tubes.</p>
      <p id="d1e9382">However, the assumption that the photo-enhanced surface loss of ozone does
not change when NO is added may breakdown for large NO mixing ratios.
Indeed, the addition of NO in the flow tubes leads to the conversion of a
significant fraction of O<inline-formula><mml:math id="M789" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> into NO<inline-formula><mml:math id="M790" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, which in turn reduces the
absolute loss of O<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> in the ambient flow tube, leading to a shift of the
<inline-formula><mml:math id="M792" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M793" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>x</mml:mi><mml:mi mathvariant="normal">zero</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> baseline to less negative values. <inline-formula><mml:math id="M794" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M795" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M796" 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> values reported in Fig. 8 will therefore be the combination of
a change in ozone production and a change in the absolute loss of O<inline-formula><mml:math id="M797" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.
If the change in the ozone loss rate is significant compared to the change
in the ozone production rate, this could lead to an overestimation of the
change in ozone production. An assessment of this measurement bias requires
modeling the chemistry in both flow tubes to separate the two contributions,
i.e the changes in (i) ozone production and in (ii) ozone loss. While this
work is outside the scope of this publication, which focuses on the
performances and limitations of the OPR instrument, it is interesting to
note that preliminary modeling indicates a bias lower than 5 pbbv h<inline-formula><mml:math id="M798" 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>
when 6 ppbv of NO is added.</p>
      <?pagebreak page758?><p id="d1e9478">The field deployment during IRRONIC revealed an additional bias in
<inline-formula><mml:math id="M799" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M800" 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> measurements due to a photo-enhanced loss of ozone at the inner
surface of the ambient flow tube and the difficulty in probing changes in
<inline-formula><mml:math id="M801" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M802" 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> when the sampled air mass is perturbed by an addition of NO.
Ambient measurements of <inline-formula><mml:math id="M803" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M804" 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> with the current version of the OPR
would necessitate performing frequent zeros of the instrument to track the
ozone loss, and unfortunately a simple solution to do so was not found. This
work shows that the sampling part of the OPR instrument needs to be rethought
to remove (or reduce to a negligible level) the photo-enhanced surface loss
of ozone, which is a prerequisite to acquiring an instrument capable of reliable
measurements of ozone production rates.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Comparison to previously published instruments and potential improvements
for the OPR instrument</title>
      <p id="d1e9547">Previous studies  (Cazorla and Brune, 2010; Baier et al., 2015) have shown
that measurements of ambient ozone production rates are feasible.
Baier et al. (2015) reported that the zero of their MOPS
instrument was achieved by removing the UV filter from the reference chamber
for a full day to record a diurnal profile of <inline-formula><mml:math id="M805" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M806" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, which was
then subtracted from the raw <inline-formula><mml:math id="M807" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M808" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> measurements on other days.
This zeroing procedure was also tested on the OPR instrument, but led to
unrealistically high ambient <inline-formula><mml:math id="M809" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M810" 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> values of approximately
40 ppbv h<inline-formula><mml:math id="M811" 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 low-NO<inline-formula><mml:math id="M812" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> forested environment of IRRONIC. This
result also suggests that altering the irradiation conditions of the OPR flow
tubes leads to a wrong zero of the instrument. This zeroing technique seems
to provide better results for the MOPS instrument and it is possible that the
design used for the MOPS sampling chambers or the material used to build them
(FEP) make it less sensitive to light-dependent surface reactions.</p>
      <p id="d1e9623">The instrument design reported by Sadanaga et al. (2017) does not seem to be
significantly impacted by a photolytic loss of ozone on the quartz flow
tubes whose inner surface was coated with Teflon<sup>®</sup>. Interestingly, these
authors report dark losses of ozone on the order of 8–10 % on the uncoated
quartz surface for a residence time of 21 min in the tubes, which are
consistent with the reported dark loss of less than 5 % observed in our
study for O<inline-formula><mml:math id="M813" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-conditioned flow tubes and a residence time of 4.5 min.
The Teflon<sup>®</sup> coating seems to remove or to reduce the photolytic loss of ozone to a negligible level on this instrument.</p>
      <p id="d1e9641">Since the main artifacts on the OPR instrument are caused by heterogeneous
surface reactions in the flow tubes, i.e., HONO production (Sect. 3.2.2)
and ozone losses (Sect. 3.2.2 and 3.3), the flow tubes should be
redesigned to reduce the impact of physicochemical processes occurring near
the quartz surface on the ozone production chemistry occurring at the center
of the tubes. A solution worth investigating would be to minimize surface
reactions by coating the inner surface of the flow tubes with Teflon<sup>®</sup> as in
Sadanaga et al. (2017) or by applying a chemical treatment on the quartz
surface, which should help in removing reactive sites. The latter has already
been applied for laboratory kinetic experiments to clean reactor surfaces.
Interestingly, it was reported that this type of treatment can also reduce
HONO production on quartz surfaces   (Laufs and Kleffmann, 2016).</p>
      <p id="d1e9647">Other potential solutions would be to (i) increase the diameter of the tubes
to reduce the surface-to-volume ratio and (ii) shorten their lengths together
with an increase in the total flow rate to reduce the contact time between
trace gases and the walls. A shorter residence time would also lead to a
shorter air-exchange time, which in turn would help in minimizing the scatter in
<inline-formula><mml:math id="M814" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M815" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> measurements and would help improve the time resolution
necessary to generate independent <inline-formula><mml:math id="M816" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M817" 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> measurements. However, a
shorter residence time would also lead to a lower detection limit and a
tradeoff between these two parameters will likely have to be made.</p>
      <p id="d1e9686">Regarding the deployment of these OPR instruments in the field, a reliable
zeroing method would be suitable for both ambient <inline-formula><mml:math id="M818" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M819" 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> and
<inline-formula><mml:math id="M820" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M821" 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> sensitivity measurements. An interesting solution would be to
introduce a radical scavenger in the flow tubes to suppress ozone production,
but a suitable compound has yet to be identified.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e9737">An instrument dedicated to direct measurements of ozone production rates
was developed and consists of two quartz flow tubes, an
O<inline-formula><mml:math id="M822" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-NO<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> conversion unit and an Aerodyne CAPS NO<inline-formula><mml:math id="M824" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> monitor.
This setup, compared to the NO<inline-formula><mml:math id="M825" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-to-O<inline-formula><mml:math id="M826" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> conversion approach
previously published in the literature, presents the advantage of a
conversion efficiency higher than 99.9 %, which is independent of ambient
O<inline-formula><mml:math id="M827" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels. Laboratory and field testing performed to characterize the
performance of this instrument showed that dark losses of O<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> and
NO<inline-formula><mml:math id="M829" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> inside the flow tubes are lower than 5 and 3 %, respectively.
However, it was shown that dark ozone losses can increase after a long
exposure of the flow tubes in the field and frequent reconditioning steps
should be performed during nighttime by flowing humid air and O<inline-formula><mml:math id="M830" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> through the
tubes to keep the loss below 5 %.</p>
      <p id="d1e9822">A modeling exercise taking advantage of measurements from previous urban
field campaigns showed that a latency in ozone production in the ambient flow
tube and a net ozone production in the reference flow tube can lead to an
18 % measurement underestimation of ambient <inline-formula><mml:math id="M831" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M832" 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> on a daily
average for the conditions of the MCMA 2006 and CalNex 2010 field
campaigns. However, the magnitude of this underestimation depends on the
chemical composition of ambient air, and it is recommended to assess this
potential bias for future campaigns.</p>
      <p id="d1e9844">Sensitivity tests performed during the modeling exercise highlighted the
importance of a high conversion efficiency,<?pagebreak page759?> since a conversion of 95 %,
which is only 5 % lower than the maximum, could lead to an
underestimation of ambient <inline-formula><mml:math id="M833" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M834" 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> by approximately 20 % on a daily
average for the two selected field campaigns. A dark surface loss of ozone in
the flow tubes would lead to an underestimation of ambient <inline-formula><mml:math id="M835" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M836" 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>,
while an NO<inline-formula><mml:math id="M837" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss would lead to an overestimation. On a daily average, an
underestimation of 10 % and an overestimation of 5 % were assessed
for an O<inline-formula><mml:math id="M838" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss of 5 % and an NO<inline-formula><mml:math id="M839" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss of 2 %, respectively.
A photo-enhanced production of HONO in the ambient flow tube on the order of
20 ppbv h<inline-formula><mml:math id="M840" 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 also lead to an overestimation of ambient
<inline-formula><mml:math id="M841" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M842" 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> by 27 % on a daily average. Overall, a quadratic sum of
these potential biases for the conditions of the two urban field campaigns
leads to a range of errors of <inline-formula><mml:math id="M843" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>37 % on a daily average.</p>
      <p id="d1e9951">As shown from the first deployment of the OPR instrument, there is an
additional bias due to a photo-enhanced loss of O<inline-formula><mml:math id="M844" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> taking place in the
ambient flow tube. This requires improving the sampling design to be able to
perform reliable ambient measurements. The first field deployment of the OPR
instrument was performed in a low NO<inline-formula><mml:math id="M845" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> environment, allowing the focusing
of the study on the sensitivity of ozone production to NO<inline-formula><mml:math id="M846" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. Significant
changes in ozone production rates were observed (up to 20 ppbv h<inline-formula><mml:math id="M847" 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>
when 6 ppbv of NO<inline-formula><mml:math id="M848" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> was added in the flow tubes, consistent with an
NO<inline-formula><mml:math id="M849" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited production regime.</p>
</sec>

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

      <p id="d1e10019">Contact the corresponding author for data.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e10022">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-11-741-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-11-741-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e10031">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e10037">This work was supported by grants from the Regional Council
Nord–Pas-de-Calais through the MESFOZAT project, as well as the French
National Research Agency (ANR–11–LABX–0005–01) and the European
Regional Development Fund (ERDF) through the CaPPA (Chemical and Physical Properties of the
Atmosphere) project. The authors thank the Région Hauts-de-France and the
Ministère de l'Enseignement Supérieur et de la Recherche (CPER
Climibio) and the European Fund for Regional Economic Development for their
financial support. The authors are grateful to William Bloss and
Leigh Crilley (Birmingham University) for sharing their experience on the OPR
technique and for the idea of using quartz flow tubes as sampling chambers
for the OPR instrument. The authors are also grateful to Vinod Kumar and
Vinayak Sinha (IISER Mohali) who provided support and assistance during the
initial development stage of the OPR instrument. Finally, the authors thank
the Mechanical Instrument Services at Indiana University for the construction
of the flow tube flanges.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: Lisa
Whalley<?xmltex \hack{\newline}?> Reviewed by: two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Development of an instrument for direct ozone production rate measurements: measurement reliability and current limitations</article-title-html>
<abstract-html><p>Ground-level ozone (O<sub>3</sub>) is an important pollutant that
affects both global climate change and regional   air quality, with
the latter linked to detrimental effects on both human health and ecosystems.
Ozone is not directly emitted in the atmosphere but is formed from chemical
reactions involving volatile  organic compounds (VOCs), nitrogen
oxides (NO<sub><i>x</i></sub> = &thinsp;NO&thinsp;+&thinsp;NO<sub>2</sub>) and sunlight. The photochemical
nature of ozone makes the implementation of reduction strategies challenging
and a good understanding of its formation chemistry is fundamental in order
to develop efficient strategies of ozone reduction from mitigation measures
of primary VOCs and NO<sub><i>x</i></sub> emissions.</p><p>An instrument for direct measurements of ozone production rates (OPRs) was
developed and deployed in the field as part of the IRRONIC (Indiana Radical,
Reactivity and Ozone Production Intercomparison) field campaign. The OPR
instrument is based on the principle of the previously published MOPS
instrument (Measurement of Ozone Production Sensor) but using a different
sampling design made of quartz flow tubes and a different O<sub><i>x</i></sub> (O<sub>3</sub>
and NO<sub>2</sub>) conversion–detection scheme composed of an O<sub>3</sub>-to-NO<sub>2</sub>
conversion unit and a cavity attenuated phase shift spectroscopy (CAPS) NO<sub>2</sub> monitor.
Tests performed in the laboratory and in the field, together with model
simulations of the radical chemistry occurring inside the flow tubes, were
used to assess (i) the reliability of the measurement principle and (ii) potential biases associated with OPR measurements.</p><p>This publication reports the first field measurements made using this
instrument to illustrate its performance. The results showed that a
photo-enhanced loss of ozone inside the sampling flow tubes disturbs the
measurements. This issue needs to be solved to be able to perform accurate
ambient measurements of ozone production rates with the instrument described
in this study. However, an attempt was made to investigate the OPR
sensitivity to NO<sub><i>x</i></sub> by adding NO inside the instrument. This type of
investigations allows checking whether our understanding of the turnover
point between NO<sub><i>x</i></sub>-limited and NO<sub><i>x</i></sub>-saturated regimes of ozone
production is well understood and does not require measuring ambient OPR but
instead only probing the change in ozone production when NO is added. During
IRRONIC, changes in ozone production rates ranging from the limit of
detection (3<i>σ</i>) of 6.2&thinsp;ppbv&thinsp;h<sup>−1</sup> up to 20&thinsp;ppbv&thinsp;h<sup>−1</sup> were
observed when 6&thinsp;ppbv of NO was added into the flow tubes.</p></abstract-html>
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