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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</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/acp-19-9413-2019</article-id><title-group><article-title>The impact of aerosols on photolysis frequencies and ozone production in  Beijing during the 4-year period 2012–2015</article-title><alt-title>The impact of aerosols on photolysis frequencies </alt-title>
      </title-group><?xmltex \runningtitle{The impact of aerosols on photolysis frequencies }?><?xmltex \runningauthor{W.~Wang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Wenjie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Li</surname><given-names>Xin</given-names></name>
          <email>li_xin@pku.edu.cn</email>
        <ext-link>https://orcid.org/0000-0003-2322-4069</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Shao</surname><given-names>Min</given-names></name>
          <email>mshao@pku.edu.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hu</surname><given-names>Min</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4816-9123</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zeng</surname><given-names>Limin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wu</surname><given-names>Yusheng</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7548-8272</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Tan</surname><given-names>Tianyi</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>State Joint Key Laboratory of Environmental Simulation and Pollution
Control, College of Environmental Sciences <?xmltex \hack{\break}?> and Engineering, Peking
University, Beijing 100871, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute for Environmental and Climate Research, Jinan University,
Guangzhou 511443, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Xin Li (li_xin@pku.edu.cn) and
Min Shao (mshao@pku.edu.cn)</corresp></author-notes><pub-date><day>23</day><month>July</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>14</issue>
      <fpage>9413</fpage><lpage>9429</lpage>
      <history>
        <date date-type="received"><day>11</day><month>February</month><year>2019</year></date>
           <date date-type="rev-request"><day>11</day><month>March</month><year>2019</year></date>
           <date date-type="rev-recd"><day>21</day><month>June</month><year>2019</year></date>
           <date date-type="accepted"><day>21</day><month>June</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 </copyright-statement>
        <copyright-year>2019</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://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e145">During the period 2012–2015, photolysis frequencies were measured at the
Peking University site (PKUERS), a site representative of Beijing. We
present a study of the effects of aerosols on two key photolysis
frequencies, <inline-formula><mml:math id="M1" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M3" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Both <inline-formula><mml:math id="M5" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M7" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
display significant dependence on aerosol
optical depth (AOD; 380 nm) with a non-linear negative
correlation. With the increase in AOD, the slopes of photolysis frequencies
vs. AOD decrease, which indicates that the capacity of aerosols to reduce the
actinic flux decreases with AOD. The absolute values of slopes are equal to
4.2–<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>  and <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M11" 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> per AOD unit for
<inline-formula><mml:math id="M12" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M14" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) respectively at a solar zenith angle (SZA) of 60<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and AOD
smaller than 0.7, both of which are larger than those observed in a similar,
previous study in the Mediterranean. This indicates that the aerosols in
Beijing have a stronger extinction effect on actinic flux than
absorptive dust aerosols in the Mediterranean. Since the photolysis
frequencies strongly depended on the AOD and the SZA,
we established a parametric equation to quantitatively evaluate the effect
of aerosols on photolysis frequencies in Beijing. According to the
parametric equation, aerosols lead to a decrease in seasonal mean
<inline-formula><mml:math id="M17" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) by 24 % and 30 % for summer and winter, respectively, and
a corresponding decrease in seasonal mean <inline-formula><mml:math id="M19" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) by 27 % and 33 %,
respectively, compared to an aerosol-free atmosphere (AOD <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>). Based on
an observation campaign in August 2012, we used a photochemical box model
to simulate the ozone production rate (<inline-formula><mml:math id="M22" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)). The simulation results
shows that the monthly mean daytime net ozone production rate is reduced by
up to 25 % due to the light extinction of aerosols. Through further
in-depth analysis, it was found that particulate matter concentrations
maintain a high level under the condition of high concentrations of ozone
precursors (volatile organic compounds, VOCs, and <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), which inhibits the production of ozone to a large
extent. This phenomenon implies a negative feedback mechanism in the
atmospheric environment of Beijing.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <?pagebreak page9414?><p id="d1e409">Solar radiation plays an important role in atmospheric photochemistry,
driving the photolysis of many key species. The photolysis of ozone
(<inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), gaseous nitrous acid (HONO), and carbonyl species, contributes to the primary production of <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Volkamer et al., 2010). The
photolysis of ozone produces <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>, which then reacts with <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> to
form OH radicals; these radicals are the main source of OH radicals in the
troposphere, as shown by Reactions (R1) and (R2). The strong dependence of OH
concentration on <inline-formula><mml:math id="M29" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) was found in a number of field measurements
(Ehhalt and Rohrer, 2000; Rohrer et al., 2014; Stone et al., 2012). In addition,
the photolysis of <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produces <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mi mathvariant="normal">P</mml:mi></mml:mrow></mml:math></inline-formula>, and then <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mi mathvariant="normal">P</mml:mi></mml:mrow></mml:math></inline-formula> reacts with
<inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to produce <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, as shown by Reactions (R3) and (R4), which is the
only significant chemical source of ozone in the troposphere
(Finlayson-Pitts and Pitts, 2000). The photolysis frequencies of Reactions (R1) and (R3) are
<inline-formula><mml:math id="M36" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M38" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), respectively.<?xmltex \hack{\newpage}?>

              <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M40" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R1"><mml:mtd><mml:mtext>R1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">hv</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">330</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:mrow></mml:mfenced></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R2"><mml:mtd><mml:mtext>R2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R3"><mml:mtd><mml:mtext>R3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">hv</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">430</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:mrow></mml:mfenced></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mi mathvariant="normal">P</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R4"><mml:mtd><mml:mtext>R4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mi mathvariant="normal">P</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          The photolysis frequencies are calculated by the following formula:


              <disp-formula id="Ch1.E5" content-type="numbered"><label>1</label><mml:math id="M41" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:munderover><mml:mi>F</mml:mi><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mi mathvariant="italic">σ</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:mfenced><mml:mi mathvariant="italic">φ</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

        <inline-formula><mml:math id="M42" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>) is the actinic flux dependent on wavelength. Since the
photolysis rates are proportional to the actinic flux, and not all stations
acquire a <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:math></inline-formula> spectroradiometer or chemical actinometer for <inline-formula><mml:math id="M45" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>
measurements, several methods have been developed to determine actinic flux
and photolysis frequencies from ground-based measurements of irradiance
(Kylling et al., 2003; Kazadzis et al., 2000, 2004; Topaloglou et al., 2005;
Trebs et al., 2009). <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the absorption cross section
of the species that is absorbed in the wavelength range <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the quantum yield of
the photodissociation reaction product. <inline-formula><mml:math id="M50" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M51" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> represent
wavelength species and temperature, respectively.</p>
      <p id="d1e919">The effect of aerosols on photolysis frequencies depends on the aerosol
optical properties, solar zenith angle (SZA), and altitude (Liao et al., 1999). The aerosol
optical depth (AOD) characterizes the integral of the extinction coefficient
of aerosols in the vertical direction. The light extinction of aerosols
includes scattering and absorption, which have different effects on the
actinic flux. Previous studies showed that scattering aerosols can enhance
the actinic flux throughout the troposphere, while absorptive aerosols
reduce the actinic flux throughout the boundary layer (Jacobson, 1998;
Dickerson et al., 1997; Castro et al., 2001; Flynn et al., 2010). To
distinguish between these two components, single scattering albedo (SSA) is
defined as the ratio of the scattering coefficient to the total extinction
coefficient. In areas with severe aerosol pollution, aerosols can
significantly affect photolysis frequencies and ozone production. Studies in
Los Angeles (Jacobson, 1998), Mexico City (Castro et al., 2001; Raga et al.,
2001; Li et al., 2011), São Paulo (de Miranda et al., 2005), Houston
(Flynn et al., 2010), Europe (Real and Sartelet, 2011), and Russia (Péré et al.,
2015) have found that aerosols reduce ozone concentration by 5 %–30 % by
attenuating photolysis frequencies. Studies in the eastern United States
have shown that scattering aerosols increase ozone concentration by 5 %–60 %
by increasing the photolysis frequencies (Dickerson et al., 1997; He and
Carmichael, 1999). Therefore, it is necessary to quantitatively evaluate the
effect of aerosols on photolysis frequencies for a better understanding of
ozone formation under highly polluted conditions.</p>
      <p id="d1e922">Currently, the methods for quantitatively evaluating the influence of
aerosols on photolysis frequencies mainly include the radiative transfer model
and the parameterization method (Madronich, 1993). The radiative transfer
model is based on an algorithm for calculating solar radiation and
photolysis frequencies (Madronich and Flocke, 1999). The observed data of
related influential factors of the photolysis frequencies are taken as the
model's input to calculate the photolysis frequencies. This method
comprehensively considers the influence of aerosol optical properties on the
photolysis frequencies, but it does not necessarily reflect the true
quantitative relationship in the atmosphere due to complicated environmental
conditions, and thus the simulated results do not necessarily reproduce
observed values well (Lefer et al., 2003; Shetter, 2003; Hofzumahaus
et al., 2004). For example, the simulated slope of <inline-formula><mml:math id="M52" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) vs. AOD by the Fast-JX algorithm within the CHIMERE model was significantly smaller than
the observed slope, particularly for the high SZA values (Mailler et al.,
2016). The parameterization method is based on the observation data taken
from a certain region and is used to establish the parameterized
relationship between the photolysis frequencies and optical properties of
aerosols (such as AOD). The method can reflect the actual atmospheric
environment conditions; it also considers less influential factors and thus
is easy to apply (Casasanta et al., 2011; Gerasopoulos et al., 2012). The
disadvantage of this method is that the established parametric equations
apply only to a specific region and cannot be extended to other regions.</p>
      <p id="d1e945">With rapid economic development and urbanization in past decades, China's
atmospheric pollution has become more and more severe, characterized by high
concentrations of particulate matter and ozone. Satellite observations
indicate that both the particulate matter and the ozone of eastern China
are at higher levels compared with other locations around the globe (Verstraeten
et al., 2015; Ma et al., 2014). Levels of pollution in the
Beijing–Tianjin–Hebei region are even more severe (Chang et al., 2009; Che et
al., 2008; Zhang et al., 2014, 2016). Therefore, it is
necessary to study the effects of aerosols on photolysis frequencies and
ozone production in the urban areas of China.</p>
      <p id="d1e949">Previous model studies have shown that aerosols in China can affect ozone
production by changing the photolysis frequencies. Tang et al. (2004) used a
sulfur transmission–emission model (STEM) to discover that ozone
concentration in north-eastern China was reduced by 0.1 %–0.8 % in the
sandstorm due to the change in photolysis frequencies. Tie et al. (2005)
used a global aerosol–chemical model to show that aerosols caused
<inline-formula><mml:math id="M54" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M56" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) to decrease in winter by 20 %–30 % and
10 %–30 %, respectively, and in summer by 5 %–20 % and 1 %–10 %,
respectively, resulting in 2 %–5 % and 2 % reductions in ozone
concentration in winter and summer, respectively. Li et al. (2011) used an
air quality model to estimate the changes in the photolysis frequencies
caused by sulfate, nitrate, ammonium, and<?pagebreak page9415?> mineral dust aerosols in the
central and eastern regions of China from 1 June to 12 June 2006. This
study showed that the daily average <inline-formula><mml:math id="M58" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) in the troposphere at altitudes of 1, 3, and 10 km from the ground was reduced by 53 %,
37 %, and 21 %, respectively, resulting in a decrease in the ozone
concentration by 5.4 %, 3.8 %, and 0.10 % in the three layers. Lou et
al. (2014) found that with aerosols, annual mean photolysis frequencies,
<inline-formula><mml:math id="M60" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>)) and <inline-formula><mml:math id="M62" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), were simulated to be reduced by 6 %–18 % in
polluted eastern China, leading to reductions in <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of up to 0.5 ppbv
in those regions in spring and summer using a global chemical transport
model (GEOS-Chem). However, all of these studies base their results on model
simulations. Research using long-term observational data to evaluate the
effects of aerosols on photolysis frequencies and ozone production in China
has not yet been published.</p>
      <p id="d1e1060">Our overall goal is to quantitatively evaluate the effect of aerosols in
Beijing on photolysis frequencies and thus on ozone production. First,
the relationship between PM<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and AOD was investigated. Second, based
on long-term observations (2012–2015) of photolysis frequencies, we
discussed the impact of AOD on photolysis frequencies (<inline-formula><mml:math id="M66" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and
<inline-formula><mml:math id="M68" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)) in Beijing in detail. The relationship between photolysis
frequencies and AOD is adequately compared with a previous study in the
Mediterranean (Casasanta et al., 2011; Gerasopoulos et al., 2012). Then, the
quantitative relationship between photolysis frequencies, AOD, and SZA was
acquired by the parameterization method, which could be used to
quantitatively evaluate the effect of AOD on photolysis frequencies in
Beijing. Finally, a photochemistry box model was used to evaluate the effect
of aerosols on ozone production.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Measurement</title>
      <p id="d1e1125">From August 2012 to December 2015, <inline-formula><mml:math id="M70" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M72" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were measured
continuously at the Peking University site (PKUERS). The data of the period during October 2012 to
March 2013 and August 2015 are missed due to instrument maintenance and
other measurement campaigns. The site (39.99<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 116.31<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) is located on the sixth floor of a campus building at Peking
University, 20 km north-west of Tiananmen Square. The height from the ground
is about 30 m. The sampling point is surrounded by classroom buildings.
Concentration level and composition of air pollutants were thought to be
similar to the downtown area and thus representative of the whole of Beijing
(Wang et al., 2010; Xu et al., 2011; Zhang et al., 2012,
2014).</p>
      <p id="d1e1185">The actinic flux was measured using a spectroradiometer, and the photolysis
frequencies were calculated from the absorption cross section and quantum
yield of each species (Shetter and Müller, 1999). The spectroradiometer
consisted of a single monochromator with a fixed grating (Carl Zeiss), an
entrance optic with a <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:math></inline-formula> steradian (sr) solid angle quartz diffusor, and
a 2048 pixel <inline-formula><mml:math id="M77" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 64 pixel photodiode array detector. The spectral
measurements were performed with a wavelength resolution of 2 nm, covering a
wavelength range of 290–650 nm (Hofzumahaus et al., 1999). A 1000 W National
Institute of Standard and Technology (NIST) traceable lamp was used for
calibration under laboratory conditions (Bohn et al., 2008). The measured
spectra were corrected for dark signal and stray light. For <inline-formula><mml:math id="M78" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>), the
quantum yields used were taken from Matsumi et al. (2002), while the ozone
cross section was derived from Daumont et al. (1992) and Malicet et al. (1995). Measured temperatures were used to retrieve the ozone absorption cross
section and quantum yield. For <inline-formula><mml:math id="M80" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), absorption cross sections by Merienne et al. (1995) and quantum yields by Troe (2000) were used. The calculated photolysis frequencies had a time
resolution of 10 s and an accuracy of <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % including uncertainties
associated with the quartz receiver and stray-light effects (Edwards and
Monks, 2003).</p>
      <p id="d1e1254">The optical properties of aerosols were measured by a CIMEL solar photometer
(AERONET level 2 data collection; <uri>http://aeronet.gsfc.nasa.gov/</uri>, last access: 1 august 2018), and the
site selected is the Beijing-CAMS site (39.93<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
116.32<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), which is 6.4 km from PKUERS. The CIMEL solar
photometer is an automatic solar-sky scanning radiometer that uses selected
spectral channels. The instrumentation, data acquisition, retrieval
algorithms, and calibration procedure conform to the standards of the global
AErosol RObotic NETwork (AERONET) and have been described in detail by Fotiadi et al. (2006). The solar extinction measurement was performed every 3 min in
the spectral range 340–1020 nm for the calculation of AOD at wavelengths
340, 380, 440, 500, 675, 870, 970, and 1020 nm. Under cloudless conditions,
the overall uncertainty of AOD data is <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M86" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>
<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">440</mml:mn></mml:mrow></mml:math></inline-formula> nm and <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> at shorter wavelengths. In this study,
AOD at the wavelength of 380 nm was chosen for analysis. This wavelength was
selected as it is more representative of <inline-formula><mml:math id="M89" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Additionally, at this
wavelength we can better compare AOD with the results of Gerasopoulos et al. (2012). The daytime clear-sky conditions were identified according to the
presence of AOD data of AERONET since AOD data are unavailable under cloudy
conditions. The Ångström exponent (AE) and SSA (440 nm) were also acquired from AERONET. In addition,
the SSA (525 nm) data were derived from a field campaign undertaken in August 2012. The absorption and scattering coefficients were measured with an
aethalometer (AE-31, Magee) and a Single Wavelength Integrating Nephelometer
(Aurora-1000), respectively, with a time resolution of 1 min. As aerosol
particles were dried by decreasing relative humidity (RH) to <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> % when SSA was measured, we used the measured hygroscopic factor (Liu
et al., 2009) and measured RH to correct the SSA. The 5 min averages of
AOD, SSA, and photolysis frequencies were analysed in this study.<?pagebreak page9416?> The total
ozone column was obtained by OMI (Ozone Monitoring Instrument) for the years
2012–2015, using overpass data (<uri>http://www.temis.nl/protocols/O3global.html</uri>, last access: 1 August 2018) (Eskes et al., 2003). In
addition, meteorological parameters such as temperature, relative humidity,
and pressure were simultaneously observed at this site. Table 1 presents
total <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column, temperature, relative humidity, daytime clear-sky
fraction, and respective standard deviation for different seasons.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1363"><inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column concentration, temperature, relative humidity,
daytime clear-sky fraction and respective standard deviation for different
seasons (spring: March, April, and May; summer: June, July, and August;
autumn: September, October, and November; winter: December, January, and
February).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Season</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column</oasis:entry>
         <oasis:entry colname="col3">Temperature</oasis:entry>
         <oasis:entry colname="col4">Relative humidity</oasis:entry>
         <oasis:entry colname="col5">Clear-sky fraction</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(DU)</oasis:entry>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(%)</oasis:entry>
         <oasis:entry colname="col5">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Spring</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mn mathvariant="normal">355</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">37</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mn mathvariant="normal">16</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mn mathvariant="normal">33</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Summer</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mn mathvariant="normal">310</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mn mathvariant="normal">28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">36</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Autumn</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mn mathvariant="normal">304</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mn mathvariant="normal">16</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mn mathvariant="normal">46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">42</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Winter</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mn mathvariant="normal">347</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mn mathvariant="normal">30</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1644">The analysis of the effects of aerosols on ozone production (Sect. 3.4)
was based on the field campaign undertaken in August 2012. The relevant
contents and methods of observation are shown in Table 2. Since the time
resolution of volatile organic compounds (VOCs) is 1 h, all data analysed in Sect. 3.4 were processed
as 1 h average values. In this study, we focused on the effects of
aerosols on photolysis frequencies and ozone production under cloudless
conditions.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1650">Instruments deployed in the field campaign undertaken in August
2012 and used for data analysis.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Parameters</oasis:entry>
         <oasis:entry colname="col2">Measurement technique</oasis:entry>
         <oasis:entry colname="col3">Time resolution</oasis:entry>
         <oasis:entry colname="col4">Detection limit</oasis:entry>
         <oasis:entry colname="col5">Accuracy</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M108" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M110" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">Spectroradiometer</oasis:entry>
         <oasis:entry colname="col3">10 s</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">UV photometry</oasis:entry>
         <oasis:entry colname="col3">60 s</oasis:entry>
         <oasis:entry colname="col4">0.5 ppbv</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NO</oasis:entry>
         <oasis:entry colname="col2">Chemiluminescence</oasis:entry>
         <oasis:entry colname="col3">60 s</oasis:entry>
         <oasis:entry colname="col4">60 pptv</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Chemiluminescence</oasis:entry>
         <oasis:entry colname="col3">60 s</oasis:entry>
         <oasis:entry colname="col4">300 pptv</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CO</oasis:entry>
         <oasis:entry colname="col2">IR photometry</oasis:entry>
         <oasis:entry colname="col3">60 s</oasis:entry>
         <oasis:entry colname="col4">4 ppb</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Pulsed UV fluorescence</oasis:entry>
         <oasis:entry colname="col3">60 s</oasis:entry>
         <oasis:entry colname="col4">0.1 ppbv</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCHO</oasis:entry>
         <oasis:entry colname="col2">Hantzsch fluorimetry</oasis:entry>
         <oasis:entry colname="col3">60 s</oasis:entry>
         <oasis:entry colname="col4">25 pptv</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VOCs</oasis:entry>
         <oasis:entry colname="col2">GC-FID/MS</oasis:entry>
         <oasis:entry colname="col3">1 h</oasis:entry>
         <oasis:entry colname="col4">20–300 pptv</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> %–20 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Radiative transfer model description</title>
      <p id="d1e1982">We use the Tropospheric Ultraviolet and Visible (TUV) radiation model
(version 5.3) provided by Sasha Madronich (Madronich, 1993). In order to
solve the radiative transfer equation, TUV uses the discrete-ordinate
algorithm (DISORT) with four streams and calculates the actinic flux spectra
with a wavelength range of 280–420 nm in 1 nm steps and resolution. Measured
temperatures were used to calculate the absorption cross sections and
quantum yields. The key aerosol optical properties including AOD, SSA, and AE
were input into the model to test the effect of aerosols on photolysis
frequencies. AE(<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mn mathvariant="normal">380</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">550</mml:mn></mml:mrow></mml:math></inline-formula> nm) is taken from AERONET, and the mean value of 1.2
during June 2012–December 2015 is used in the TUV model.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Photochemical box model</title>
      <p id="d1e2005">The photochemical box model used in this study is based on a regional
atmospheric chemical mechanism (RACM2) described by Goliff et al. (2013).
The mechanism includes 17 stable inorganic compounds, 4 intermediate
inorganic compounds, 55 stable organic compounds, and 43 intermediate
organic compounds. Compounds not specifically treated in RACM2 are
incorporated into species with similar functional groups. The
isoprene-related mechanism used in this model is the LIM mechanism proposed by
Peeters et al. (2009). In this study, the observed <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, CO, <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>  non-methane hydrocarbons (NMHCs), HCHO, photolysis frequencies, temperature, pressure, and
relative humidity were used as constraints to simulate the concentrations of
reactive radicals (<inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and OH), intermediate species, and
associated reaction rate constants. HONO was not measured during the period
and was calculated according to the concentration of <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the
observed ratio of HONO to <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at a site in Beijing, which had a
marked diurnal cycle, a maximum in the early morning (ratio values up to
<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>–0.08 in summer) and a decrease during daytime to values around
0.01–0.02 (Hendrick et al., 2014). The model was spun up for 2 d once
it started running in order to ensure that the simulation was stable. It was
assumed that the lifetime of simulated species removed by dry deposit was 24 h. The lifetime corresponds to the assumed deposit rate of 1.2 cm s<inline-formula><mml:math id="M132" 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 a well-mixed boundary layer height of about 1 km (Lu et al., 2012). Net ozone production is equal to the reaction rate between peroxy
radicals (<inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and NO minus the loss rate of <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as shown in Eqs. (2), (3), and (4) as derived by Mihelcic et al. (2003). The
ozone production rate (<inline-formula><mml:math id="M137" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)), the ozone loss rate (<inline-formula><mml:math id="M139" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)), and
the net <inline-formula><mml:math id="M141" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were calculated from the simulation results.

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M143" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" columnspacing="1em" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>P</mml:mi><mml:mfenced open="(" close=")"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><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 class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mo movablelimits="false">∑</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</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:mi>i</mml:mi></mml:msubsup><mml:mfenced close="]" open="["><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">RO</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>i</mml:mi></mml:msubsup></mml:mrow></mml:mfenced><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" columnspacing="1em" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>D</mml:mi><mml:mfenced open="(" close=")"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>j</mml:mi><mml:mfenced close=")" open="("><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><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:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><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 open="[" close="]"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mo movablelimits="false">∑</mml:mo><mml:mo>(</mml:mo><mml:msup><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:msup><mml:mi mathvariant="normal">alkene</mml:mi><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mfenced close="]" open="["><mml:mrow><mml:msup><mml:mi mathvariant="normal">alkene</mml:mi><mml:mi>j</mml:mi></mml:msup></mml:mrow></mml:mfenced><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><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 open="[" close="]"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mfenced><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">net</mml:mi><mml:mi>P</mml:mi><mml:mfenced close=")" open="("><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mi>P</mml:mi><mml:mfenced open="(" close=")"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mi>D</mml:mi><mml:mfenced open="(" close=")"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M144" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> is the fraction of <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> from ozone photolysis that
reacts with water vapour, and <inline-formula><mml:math id="M146" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M147" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> represent the number of species of <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
and alkenes, respectively.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><?xmltex \opttitle{The correlation between PM${}_{{2.5}}$ and AOD}?><title>The correlation between PM<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and AOD</title>
      <p id="d1e2578">Compared with AOD, PM<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is a more common proxy for evaluating the level
of particulate matter pollution in spite of AOD being a more closely related
parameter of photolysis frequencies. As a result, we attempted to analyse
the quantitative relationship between PM<inline-formula><mml:math id="M151" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and AOD to evaluate the
influence of PM<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> on AOD and thus on photolysis frequencies. The
factors that affect this relationship include aerosol type, aerosol size
distribution, aerosol distribution in the vertical direction, relative
humidity (RH), and planetary boundary layer height (PBLH) (van Donkelaar et
al., 2010). Figure 1 shows the correlation between AOD and PM<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in
four different seasons. The determination coefficient (<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) is 0.53,
0.58, 0.62, and 0.59 for spring (March, April, and May), summer (June, July,
and August), autumn (September, October, and November), and winter (December,
January, and February), respectively. Meanwhile, the correlation exhibits
significant seasonal differences, having a relatively smaller slope (23.56) in
summer and a relatively larger slope (73.76) in winter. This implies that
PM<inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in summer has a stronger light extinction capacity than in winter.
One reason for the seasonal differences is the variation in RH among
different seasons (Table 1). There is higher RH in summer (57.2 % on
average) than in winter (30.4 % on<?pagebreak page9417?> average), leading to stronger
hygroscopic growth of aerosol particles and thus resulting in a higher
scattering ability of aerosol particles. According to another study in Beijing, the higher the RH, the smaller the slope, and the higher the PBLH,
the smaller the slope (Zheng  et al., 2017). In addition, the slope was
smaller for scattering-dominant aerosols than for absorbing-dominant
aerosols and smaller for coarse-mode aerosols than for fine-mode aerosols
(Zheng  et al., 2017). The slopes of the correlation between AOD (at
550 nm) and PM<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in this study in summer and winter are equal to
42.2 and 119.2 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, close to those
from Ma et al. (2016) (54.9 and 110.5 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and
Xin et al. (2016) (55.2 and 93.4 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) but significantly smaller than those from Zheng et al. (2017) (65–74 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and 143–158 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The
differences mainly depend on the aerosol composition and size distribution
at different observational sites in Beijing. Compared with other cities in
North China (Tianjin, Shijiazhuang, and Baoding) (Ma et al., 2016), the slope
in Beijing for winter is significantly higher. Consequently, using
PM<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> to estimate AOD has a large uncertainty due to multiple
interference factors.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e2754">Scatter plots between AOD at 380 nm and PM<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in four
different seasons. The slope, intercept, and determination coefficient
(<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) were calculated.</p></caption>
          <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Seasonal and diurnal variability of AOD and photolysis frequencies</title>
      <p id="d1e2791">The diurnal cycles of AOD are shown in Fig. 2. AOD displays obvious
diurnal variation, with a relatively high level at noon and a low level at dawn
and in the evening. The diurnal variation of PM<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is significantly different
from AOD. In addition, AOD has obvious seasonal differences, with the
highest AOD in summer and the lowest AOD in winter. Conversely, PM<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
in winter (42 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is significantly higher than in summer
(35 <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). In spite of lower PM<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in summer, AOD in summer
is higher due to the stronger extinction capacity of PM<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> as discussed in
Sect. 3.1. Figure 3 shows the diurnal variation of the photolysis frequencies
under cloudless conditions for each season. <inline-formula><mml:math id="M171" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M173" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) are
both highest in summer, followed by spring and autumn, and lowest in winter.
This seasonal difference is mainly determined by the difference in SZA for
the four seasons.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e2909">Diurnal cycles of <bold>(a)</bold> mean AOD and <bold>(b)</bold> mean PM<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in the four
seasons under cloudless conditions.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f02.png"/>

        </fig>

      <?pagebreak page9418?><p id="d1e2933">The observed mean daily maxima of photolysis frequencies at this site are
lower than those observed in the eastern Mediterranean (Crete, Greece;
<inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mn mathvariant="normal">35</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">20</mml:mn><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> N, <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mn mathvariant="normal">25</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">40</mml:mn><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> E) (Gerasopoulos et
al., 2012) by <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M180" 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 <inline-formula><mml:math id="M181" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M185" 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 <inline-formula><mml:math id="M186" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), in summer and winter respectively. The
corresponding lower photolysis frequencies of Beijing than the eastern
Mediterranean due to SZA difference are <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></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> for <inline-formula><mml:math id="M191" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>  and <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M195" 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 <inline-formula><mml:math id="M196" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
according to the TUV model under aerosol-free conditions, which are
significantly lower than observed decreased magnitudes. Additionally, we
know that the temperature is lower in Beijing during the winter compared to
conditions in Crete. The measured mean temperature in Beijing during winter
is equal to <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (Table 1). When we consider the
temperature in Crete is 10<inline-formula><mml:math id="M200" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> higher than in Beijing, the lower
<inline-formula><mml:math id="M201" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) of Beijing than Crete is <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which
is also not able to compensate for the <inline-formula><mml:math id="M205" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) gap between the two sites
during winter. Taking into account the similar levels of ozone column
concentration in the two sites, the large gap of photolysis frequencies in
the two sites is mainly attributed to the higher AOD in Beijing (<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.76</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>) than in the eastern Mediterranean (<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.27</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d1e3423">It can be seen from Fig. 3 that the difference between winter and summer
for <inline-formula><mml:math id="M209" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) is significantly larger than that for <inline-formula><mml:math id="M211" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), for which the
summer midday averages of <inline-formula><mml:math id="M213" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M215" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) are 5 times and 2
times those of winter, respectively. There are two reasons for this
phenomenon. One, compared with <inline-formula><mml:math id="M217" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M219" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) is more sensitive to
the change in SZA, and the same change in SZA results in a larger change in
<inline-formula><mml:math id="M221" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) than <inline-formula><mml:math id="M223" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Two, the main influential factors of
<inline-formula><mml:math id="M225" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) under cloudless conditions are SZA and AOD, and the influence of
ozone column concentration and temperature on <inline-formula><mml:math id="M227" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is negligible.
However, <inline-formula><mml:math id="M229" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) is significantly affected by the ozone column
concentration and temperature, in addition to SZA and AOD. The higher ozone
column concentration and lower temperature in winter than in summer lead to
the difference in <inline-formula><mml:math id="M231" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) further increasing (Table 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e3660">Diurnal cycles of <bold>(a)</bold> mean <inline-formula><mml:math id="M233" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <bold>(b)</bold> mean <inline-formula><mml:math id="M235" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) in
the four seasons under cloudless conditions.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>The correlation between photolysis frequencies and AOD</title>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><?xmltex \opttitle{The correlation between $j$({$\protect\chem{O^{{1}}D}$}) and AOD}?><title>The correlation between <inline-formula><mml:math id="M237" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and AOD</title>
      <p id="d1e3750">In order to rule out the effect of SZA on photolysis frequencies, we chose
SZAs equal to 30 and 60<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) for
analysis. Figure 4 presents the dependence of <inline-formula><mml:math id="M241" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) on AOD at
different levels of ozone column concentration at SZAs of 30 and
60<inline-formula><mml:math id="M243" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). The ozone column concentration has a
classification width of 30 DU. This relatively large classification width is
chosen to make sure that there are enough points to fit the relationship
between <inline-formula><mml:math id="M245" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and AOD. <inline-formula><mml:math id="M247" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>)<?pagebreak page9419?> exhibits a clear dependence on AOD,
with a non-linear negative correlation. The scatter of these points is mainly
due to variations in ozone column and temperature. As AOD increased, the
slope of <inline-formula><mml:math id="M249" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>)-AOD gradually decreases, indicating that the ability of
aerosols to reduce <inline-formula><mml:math id="M251" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) gradually decreases with AOD. This result
differs from that found in Mediterranean, where <inline-formula><mml:math id="M253" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) was linearly
negatively correlated with AOD (Casasanta et al., 2011; Gerasopoulos et al.,
2012). A larger variation range of AOD in Beijing (0–3) compared with
Mediterranean (0–0.6) is one reason for the difference.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e3923">Dependence of <inline-formula><mml:math id="M255" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) on AOD (380 nm) at SZAs of <bold>(a)</bold> 30<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and <bold>(b)</bold> 60<inline-formula><mml:math id="M258" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and at different classes of ozone column
concentration: 300–330 DU (red), 330–360 DU (blue), and 360–390 DU (green).
The full lines are fitted by the exponential function.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f04.png"/>

          </fig>

      <p id="d1e3977">For further analysis, the observed relation between <inline-formula><mml:math id="M259" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and AOD was
compared with TUV-simulated results. Panels (a) and (b) of Fig. 5 present the
comparison between observed and TUV-simulated <inline-formula><mml:math id="M261" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) against AOD at a
SZA of 30 and 60<inline-formula><mml:math id="M263" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> respectively and ozone column
concentration of 330–360 DU. The observed <inline-formula><mml:math id="M264" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) was at ozone column of
330–360 DU and were scaled to the temperature of 298 K. AE(<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mn mathvariant="normal">380</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">550</mml:mn></mml:mrow></mml:math></inline-formula> nm) <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula>,
ozone column <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">345</mml:mn></mml:mrow></mml:math></inline-formula> and temperature <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">298</mml:mn></mml:mrow></mml:math></inline-formula> K were used in TUV model for all
simulations. Mean Earth–Sun distance was used in the calculations of TUV
model and measured <inline-formula><mml:math id="M270" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> values were scaled to the mean Earth–Sun distance. At
low AOD level (<inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula>), the observed slope of <inline-formula><mml:math id="M272" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) vs. AOD is
significantly larger than the simulated slope at a SSA of 0.95 and slightly
larger than the simulated slope at a SSA of 0.85. With AOD increasing, the
observed slope decreases rapidly to the level smaller than the simulated
slopes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e4133">The relationship between observed or TUV-simulated photolysis
frequencies and AOD (380 nm) at SZAs of 30 and 60<inline-formula><mml:math id="M274" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. For
<inline-formula><mml:math id="M275" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>), a total ozone column classification of 330–360 DU is chosen. The
red line represents observed average photolysis frequencies; the blue line
and green line represent TUV-simulated average photolysis frequencies at
SSAs of 0.95 and 0.85 respectively.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f05.png"/>

          </fig>

      <p id="d1e4171">The rapid change of the slope with AOD can be related to the variation of
SSA at different AOD level. Figure 6 presents the relationship between SSA
and AOD. Figure 6a presents the relationship between AERONET-based SSA
(440 nm) and AOD during 2012–2015. The result suggests a significant positive
correlation between SSA and AOD. Additionally, Fig. 6b also presents a
significant positive correlation between near-ground SSA (525 nm) from
measurement campaign in August 2012 and AOD. With the increase in AOD, SSA
is elevated; meanwhile, the slope of SSA vs. AOD is gradually reduced.
Similar results in other regions have been obtained by Bais et al. (2005),
Krotkov et al. (2005) and Kazadzis et al. (2012). SSA characterizes the ratio
of the scattering extinction coefficient to the total extinction coefficient
(scattering extinction coefficient plus absorptive extinction coefficient)
of aerosols. The smaller the SSA, the higher the absorptive component and
the lower the scattering component of the aerosol and the stronger the ability
of the aerosol to reduce the actinic flux (Dickerson et al., 1997). Figure 6
indicates that aerosols in Beijing under low AOD conditions had a higher
proportion of absorptive aerosol components than under high AOD conditions
and, as a result, had a stronger ability to reduce the photolysis
frequencies, which contributed to the rapidly reduced slope of <inline-formula><mml:math id="M277" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>)
vs. AOD with AOD. However, due to the absence of more SSA data of the period
2012–2015, we cannot give more sufficient evidence for the dependence of SSA
on AOD. From another perspective, owing to the biomass burning and soot
emission generated from heating, the fine-mode heavily absorbing aerosol
percentage is higher in winter than in summer (Zheng et al., 2017; Liu et
al., 2016; Zhang et al., 2013), and thus aerosols in winter have a stronger
ability to reduce the photolysis frequencies. Table S1 in the Supplement indicates that SSA in
summer is significantly higher than in winter. High AOD levels often
appeared in summer, and low AOD levels occurred mostly in winter (Fig. 2
and Table S1), another fact that may also explain the rapidly reduced slope
of <inline-formula><mml:math id="M279" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) vs. AOD with AOD.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e4216">Correlation between SSA and AOD (380 nm). <bold>(a)</bold> SSA (440 nm) is
acquired from AERONET during 2012–2015. <bold>(b)</bold> SSA (525 nm) is acquired from the
near-ground measurement campaign in August 2012.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f06.png"/>

          </fig>

      <?pagebreak page9420?><p id="d1e4231">It is worth noting that the mean near-ground SSA (525 nm) in August 2012
(<inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.88</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula>) is significantly lower than the mean AERONET-based SSA
(440 nm) in the same period (<inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.94</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula>) and in summer (<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.94</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula>). The different wavelength plays a minor role in the different SSA
according to the wavelength dependence of AERONET-based SSA in the range of
440–1020 nm (Fig. S3). This difference is mainly because the AERONET-based SSA represents the column, and in situ SSA happens near the ground. The
effect of the difference in SSA (0.88 vs. 0.94) results in photolysis
frequencies changing by 11 %–16 % according to the TUV model. It means that
due to the in situ SSA use, the photolysis frequencies tend to be
underestimated. Krotkov et al. (2005) and Corr et al. (2009) pointed out
that SSA in the UV can be lower than the visible. So in general this
11 %–16 % could be less. The AERONET-based SSA generally reproduces the
slope of <inline-formula><mml:math id="M284" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) vs. AOD well in spite of it significantly
underestimating the absolute value of the slope in the low AOD range
(AOD <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula>), which is probably due to the uncertainty of AERONET-based SSA in the low AOD range. In addition to the uncertainty of SSA, SSA at both 440 nm and 525 nm differs from the 305–315 nm wavelength range of
<inline-formula><mml:math id="M287" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>), which is likely to lead to some uncertainties for the analysis
of the relationship between <inline-formula><mml:math id="M289" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and AOD.</p>
      <p id="d1e4341">Comparing Fig. 4a and b, we see that at AOD smaller than 1, the
slope of <inline-formula><mml:math id="M291" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) vs. AOD exhibits a significant dependence on SZA, and the
slope at 30<inline-formula><mml:math id="M293" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of SZA is about 1.5–2.0 times larger than that at
60<inline-formula><mml:math id="M294" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of SZA. This result is similar to that of the observations
made in the central Mediterranean (Casasanta et al., 2011). For the purpose
of comparison with the study in the Mediterranean, the slope of <inline-formula><mml:math id="M295" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>)
vs. AOD was calculated at AOD smaller than 0.7.</p>
      <p id="d1e4404">Table 3 presents the slope, intercept and determination coefficient
(<inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) of linear fits of correlation between <inline-formula><mml:math id="M298" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and AOD for each
ozone column class at AOD smaller than 0.7. At a SZA of 60<inline-formula><mml:math id="M300" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and
<inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column concentration of 300–330 DU, the respective slope of the
linear regression indicates a reduction of <inline-formula><mml:math id="M302" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) by <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<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> per AOD unit. Gerasopoulos et al. (2012) reported that the observed
slope in the eastern Mediterranean was equal to <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M307" 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 an <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column of 300–320 DU. Casasanta et al. (2011) reported that the
observed slope in the central Mediterranean varied from <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M311" 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 an <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column of 300–330 DU. All of these
results are smaller than the value of the present study, indicating that
aerosols in Beijing had a stronger extinction capacity on <inline-formula><mml:math id="M313" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>)
than those in the Mediterranean that was influenced by both natural
absorptive aerosols and anthropogenic aerosols. A previous study indicated
that SSA in Beijing ranged from 0.80 to 0.86 (Garland et al., 2009; T. T. Han et
al., 2015, 2017; Tian et al., 2015). The relatively low SSA in
Beijing could be an important reason for the stronger extinction capacity.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e4634">Slope, intercept, and the square of correlation coefficient
(<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) of linear fits of correlation between <inline-formula><mml:math id="M316" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and AOD for each
ozone column class at AOD smaller than 0.7.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">SZA <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M319" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center">SZA <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M321" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column</oasis:entry>
         <oasis:entry colname="col2">Slope</oasis:entry>
         <oasis:entry colname="col3">Intercept</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Slope</oasis:entry>
         <oasis:entry colname="col6">Intercept</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(DU)</oasis:entry>
         <oasis:entry colname="col2">(10<inline-formula><mml:math id="M325" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M326" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(10<inline-formula><mml:math id="M327" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M328" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(10<inline-formula><mml:math id="M329" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M330" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(10<inline-formula><mml:math id="M331" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M332" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">300–330</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mn mathvariant="normal">26</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.34</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">330–360</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mn mathvariant="normal">23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.40</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.52</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">360–390</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mn mathvariant="normal">21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.52</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.66</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><?xmltex \opttitle{The correlation between $j$({$\protect\chem{NO_{{2}}}$}) and AOD}?><title>The correlation between <inline-formula><mml:math id="M345" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and AOD</title>
      <p id="d1e5145">Unlike <inline-formula><mml:math id="M347" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M349" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is negligibly affected by ozone column
concentration and depends mainly on AOD and SZA under cloudless conditions.
Figure 7 presents the dependence of <inline-formula><mml:math id="M351" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) on AOD at different SZA
levels under cloudless conditions. The cosine of SZA (cos(SZA)) is
categorized according to a width of 0.2. In the same category of cos(SZA),
<inline-formula><mml:math id="M353" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) displays a strong dependence on AOD. The scatter of these points
is due to the relatively large classification width of SZA to a large
extent. When cos(SZA) is at its maximum level (0.8–1), the correlation
between <inline-formula><mml:math id="M355" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and AOD is close to linear. When cos(SZA) decreases,
the correlation tends to be non-linear. Similar to <inline-formula><mml:math id="M357" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>), the observed
slopes of <inline-formula><mml:math id="M359" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) vs. AOD are also larger than the TUV-simulated slope at SSA
of 0.95 and 0.85 when AOD is smaller than 0.8 and decreased rapidly with
increasing AOD (Fig. 5c and d). The reason for this result is
the same as that for <inline-formula><mml:math id="M361" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) as explained above.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e5302">Dependence of <inline-formula><mml:math id="M363" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) on AOD (380 nm) in different SZA classes.
The classes of cos(SZA) are 0–0.2 (black), 0.2–0.4 (purple), 0.4–0.6
(green), 0.6–0.8 (blue), and 0.8–1 (red). The full lines are fitted by
the exponential function.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f07.png"/>

          </fig>

      <?pagebreak page9421?><p id="d1e5329"><?xmltex \hack{\newpage}?>Table 4 presents the slope, intercept, and determination coefficient
(<inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) of linear fits of correlation between <inline-formula><mml:math id="M366" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and AOD for each
ozone column class at AOD smaller than 0.7. The slope of <inline-formula><mml:math id="M368" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) vs. AOD
also displays a significant dependence on cos(SZA). The slope increases as
cos(SZA) increases from 0 to 0.5 and then decreases as cos(SZA) increases
from 0.5 to 1. At a SZA of <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:mn mathvariant="normal">60</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (cos(SZA) <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.015</mml:mn></mml:mrow></mml:math></inline-formula>), the respective slope of the linear regression indicates a reduction
of <inline-formula><mml:math id="M372" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) by <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M375" 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> per AOD unit. This result is larger
than the value for non-dust aerosols (<inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M377" 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 close to
the value for dust aerosols (<inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<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>) in the eastern
Mediterranean reported by Gerasopoulos et al. (2012).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e5524">Slope, intercept, and the square of correlation coefficient
(<inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) of linear fits of correlation between <inline-formula><mml:math id="M381" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and AOD for each
ozone column class at AOD smaller than 0.7.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">cos(SZA)</oasis:entry>
         <oasis:entry colname="col2">Slope</oasis:entry>
         <oasis:entry colname="col3">Intercept</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(10<inline-formula><mml:math id="M384" 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="M385" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(10<inline-formula><mml:math id="M386" 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="M387" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0–0.2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.52</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.2–0.4</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.4–0.6</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.49</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.6–0.8</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.8–1.0</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.26</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>The parameterization relationship between photolysis frequencies, AOD,
and SZA</title>
      <p id="d1e5855">As analysed above, the photolysis frequencies (<inline-formula><mml:math id="M398" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M400" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>))
strongly depended on AOD and cos(SZA) and could be fit into Eq. (5)
using a quadratic polynomial form. The fitting parametric equations for
<inline-formula><mml:math id="M402" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) are shown in Table 5. For <inline-formula><mml:math id="M404" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M405" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>), both the <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column and
temperature affect <inline-formula><mml:math id="M407" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M408" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) significantly. Figure S1 presents the
dependence of <inline-formula><mml:math id="M409" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) on ozone column at a low AOD level (AOD <inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula>) and SZAs of (a) <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mn mathvariant="normal">30</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and (b) <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mn mathvariant="normal">60</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, respectively. The ozone column ranging from 270 to 400 DU
leads to <inline-formula><mml:math id="M414" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) reducing by about 50 %. In order to evaluate the impact
of temperature on <inline-formula><mml:math id="M416" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>), we calculated the ratio of <inline-formula><mml:math id="M418" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) at
measured temperature to <inline-formula><mml:math id="M420" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) at temperature <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">298</mml:mn></mml:mrow></mml:math></inline-formula> K (<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) (Fig. S2). <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
varied from 0.82 to 1.03, indicating that temperature changed <inline-formula><mml:math id="M425" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M426" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) by
no more than 21 %. Therefore, temperature played a minor role in changing
<inline-formula><mml:math id="M427" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M428" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) compared with the ozone column. As a result, when we fitted the
relationship among <inline-formula><mml:math id="M429" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M430" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>), AOD, and cos(SZA), the effect of the ozone column
is considered but the effect of temperature is not considered. By fitting
the relationship in different ozone classes (classification width <inline-formula><mml:math id="M431" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 30 DU),
we found that the ozone column increasing by 30 DU results in <inline-formula><mml:math id="M432" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M433" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) at a
constant SZA and AOD decreasing by 18 %. Therefore, the parametric
equation for <inline-formula><mml:math id="M434" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M435" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) is transformed into the form Eq. (6), which reflects the
influence of ozone column. The parameters <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> correspond to
the ozone column range of 300–330 DU; thus we use 315 DU as the weighted
standard of the ozone column. The fitting parameters <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for
<inline-formula><mml:math id="M440" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M441" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) is shown in Table 6.

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M442" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E9"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" columnspacing="1em" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi>cos⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">SZA</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msup><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">AOD</mml:mi></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mi mathvariant="normal">AOD</mml:mi><mml:mi>cos⁡</mml:mi><mml:mfenced close=")" open="("><mml:mi mathvariant="normal">SZA</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mi>cos⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">SZA</mml:mi></mml:mfenced></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E10"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable columnspacing="1em" class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi>cos⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">SZA</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msup><mml:mfenced close=")" open="("><mml:mi mathvariant="normal">AOD</mml:mi></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mi mathvariant="normal">AOD</mml:mi><mml:mi>cos⁡</mml:mi><mml:mfenced close=")" open="("><mml:mi mathvariant="normal">SZA</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>cos⁡</mml:mi><mml:mfenced close=")" open="("><mml:mi mathvariant="normal">SZA</mml:mi></mml:mfenced></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">315</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>column</mml:mtext><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.006</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e6653">The fitting parameters <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and determination
coefficients of Eq. (5) for <inline-formula><mml:math id="M445" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="right"/>
     <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:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col6" align="center"><inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:mn mathvariant="normal">13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.22</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.96</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e6923">The coefficients of determination of the fitting equations are greater than
0.95 for <inline-formula><mml:math id="M461" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M462" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M463" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M464" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) in a certain <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column, indicating
that both of the photolysis frequencies strongly depended on AOD and
cos(SZA), and the effect of other factors such as SSA and AE is integrated
into the constant term in the parametric equation. Since the ozone column
concentration has a greater influence on <inline-formula><mml:math id="M466" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) than on <inline-formula><mml:math id="M468" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), the
parameters of fitting equations for <inline-formula><mml:math id="M470" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M471" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) are similar, but the
parameters of fitting equations for <inline-formula><mml:math id="M472" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M473" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) have a large fluctuation in
different <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column ranges (especially <inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The
parametric equations can be used to quantitatively evaluate the effect of
AOD on photolysis frequencies in Beijing. According to the parametric
equations, aerosols lead to a decrease in seasonal mean <inline-formula><mml:math id="M477" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M478" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) by
24 % and 30 % and a decrease in seasonal mean <inline-formula><mml:math id="M479" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M480" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) by 27 % and
33 % in summer and winter under clear-sky conditions, respectively,
compared to an aerosol-free atmosphere. The decreasing ratio of the
photolysis frequencies in winter is<?pagebreak page9422?> higher than in summer mainly due to the
higher SZA in winter.</p>
      <p id="d1e7126">The effect of aerosols on photolysis frequencies in Beijing is compared with
other studies. Real and Sartelet (2011) reported a reduction in <inline-formula><mml:math id="M481" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M482" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
and <inline-formula><mml:math id="M483" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) of 13 %–14 % due to aerosols using the radiative
transfer code Fast-J during summer 2001 over European regions. Flynn et al. (2010) reported that aerosols reduced <inline-formula><mml:math id="M485" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M486" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) by 3 % in Houston during
2006 using the TUV model. Gerasopoulos et al. (2012) reported that aerosols
reduced <inline-formula><mml:math id="M487" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M489" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) by 5 %–15 %, with a 5-year mean AOD at
380 nm equal to 0.27. All of these results are lower than the reduction ratio
of this study, mainly due to the higher aerosol level in Beijing (4-year mean AOD
equal to <inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.76</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>). Hodzic et al. (2007) simulated a 15 %–30 %
<inline-formula><mml:math id="M492" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) photolysis reduction during the 2003 European summer heatwave in
the case of absorbing biomass burning aerosols, with AOD at 550 nm equal to
0.7–0.8 and SSA at 532 nm equal to 0.83–0.87. The result of Hodzic et al. (2007) is comparable with the reduction ratio of this study, possibly due to
the equivalent levels of AOD and SSA. In addition, Péré et al. (2015)
simulated a higher reduction (20 %–50 %) in <inline-formula><mml:math id="M494" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M496" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>)
along the transport of the aerosol plume during the 2010 Russian summer
wildfires episode. The higher reduction is due to the higher level of AOD
(peak value of AOD at 400 nm reached 2–4), even though SSA is very high
(0.97).</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>The influence of AOD on ozone production</title>
      <p id="d1e7302">In order to explain the effect of aerosol light extinction on ozone
production, we used the data from the field observation campaign undertaken
in August 2012. Ozone production depends on its precursors (<inline-formula><mml:math id="M498" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and VOCs),
meteorological factors, and solar radiation. Solar radiation is the driving
force for tropospheric photochemical reactions, in which <inline-formula><mml:math id="M499" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M500" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) and
<inline-formula><mml:math id="M501" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) are both important for ozone production. On the one hand, the
increase in <inline-formula><mml:math id="M503" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M504" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) promotes the photolysis of <inline-formula><mml:math id="M505" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, thereby
accelerating the formation of ozone. On the other hand, the increase in
<inline-formula><mml:math id="M506" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M507" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) accelerates the photolysis of ozone. In addition, the increase
in the photolysis frequencies will accelerate the photolysis of OVOC
(especially formaldehyde and acetaldehyde), HONO, and <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
resulting in increases in OH and <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which will promote the reaction
between OH and VOCs and thus produce more <inline-formula><mml:math id="M510" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. As a result, more ozone
is produced by increasing the reaction rate between <inline-formula><mml:math id="M511" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (or <inline-formula><mml:math id="M512" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
and NO. However, the increase in OH and <inline-formula><mml:math id="M513" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> also consumes ozone and
<inline-formula><mml:math id="M514" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which contributes to the increase in <inline-formula><mml:math id="M515" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). In brief, the
overall effect of changes in photolysis frequencies on the sources and sinks of
ozone determines the change in the net ozone production rate.</p>
      <p id="d1e7506">Ozone production (<inline-formula><mml:math id="M517" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M518" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO, <inline-formula><mml:math id="M519" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M520" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO), ozone loss (<inline-formula><mml:math id="M521" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M522" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M523" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M524" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M525" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M526" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M528" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> OH, <inline-formula><mml:math id="M529" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M530" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> OH, and
<inline-formula><mml:math id="M531" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M532" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> alkenes), and net ozone production rate during August 2012 were
calculated using the box model. We used the observed photolysis
frequencies (i.e. <inline-formula><mml:math id="M533" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>_obs), and the calculated photolysis
frequencies by parametric equation under the conditions of AOD equal to 0
(i.e. <inline-formula><mml:math id="M534" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>_AOD <inline-formula><mml:math id="M535" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0) were used to constrain the box model. The
difference of simulated results in the two scenarios can be attributed to
the effect of aerosol light extinction. As a result, the presence of
aerosols causes a decrease in both ozone production rate and loss rate, as
is shown in Fig. 8. Since the decreasing amplitude of the daytime ozone
production rate is far larger than that of the daytime ozone loss rate, the
mean daytime net production rate of ozone is reduced by 25 %. This
reduction is comparable with the results of the study in Mexico City, where
aerosols caused a 20 % reduction in the ozone concentrations (Castro et
al., 2001). Studies in Houston and Crete have shown that aerosols cause
ozone production rates to decrease by about 4 % and 12 %, respectively,
which are lower than those found in this study (Flynn et al., 2010;
Gerasopoulos et al., 2012).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e7687">Mean daytime ozone production and loss terms in August 2012.
<inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and
net <inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represent ozone production rate,
ozone loss rate, and net ozone production rate under observed photolysis
frequencies; <inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and net <inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
represent ozone production rate, ozone loss rate, and net ozone production
rate under calculated photolysis frequencies when AOD is equal to 0.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f08.png"/>

        </fig>

      <p id="d1e7866">The ratio of the observed photolysis frequencies to the photolysis
frequencies at AOD equal to 0 is defined as JIF (Flynn et al., 2010). A JIF
of less than 1 indicates that the aerosols cause a decrease in the
photolysis frequencies. Figure 9 shows the relation between
<inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(or <inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and JIF. The majority of JIF values were less than 1, with an
average of 0.72, indicating that aerosols greatly attenuated photolysis
frequencies due to high levels of AOD (average of 1.07) during the
observation period. <inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
are both linearly positively correlated with JIF, and the scatters are mostly
above the <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line. As can be seen from the Fig. 9, a 30 % reduction in
photolysis frequencies (JIF <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula>) due to the presence of aerosols results
in a decrease in ozone production rate and loss rate by about 26 % and
15 %, respectively. The decreasing amplitude in the ozone production rate
is greater than the decrease in the ozone loss rate because the
corresponding processes of ozone production are all light-driven, but the
corresponding processes of ozone loss are not all light-driven because the
reaction of <inline-formula><mml:math id="M548" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with alkenes does not depend on solar radiation.
According to the simulated results, the<?pagebreak page9423?> reaction of ozone with alkenes
during this campaign accounts for 17 % of total ozone loss.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e8113">Correlation between <inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (or
<inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>)
and JIF of <inline-formula><mml:math id="M551" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M552" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Single data points represent daytime hourly mean
values.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f09.png"/>

        </fig>

      <p id="d1e8244">The diurnal profile of the mean ozone production and loss rate is shown in
Fig. 10. <inline-formula><mml:math id="M553" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M554" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) peaks midday between 12:00 and 14:00 local time at 31 ppb h<inline-formula><mml:math id="M555" 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>
without aerosol impact and 23 ppb h<inline-formula><mml:math id="M556" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with aerosol impact. The maximum
<inline-formula><mml:math id="M557" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M558" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) also occurs between 12:00 and 14:00 at 4.2 ppb h<inline-formula><mml:math id="M559" 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> without aerosol
impact and 3.5 ppb h<inline-formula><mml:math id="M560" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with aerosol impact. There is little difference between
aerosol-impact and aerosol-free <inline-formula><mml:math id="M561" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M562" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (or <inline-formula><mml:math id="M563" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M564" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)) in the hours of
06:00–11:00, but the difference in the afternoon (12:00–18:00) is large,
indicating that the reduction effect of aerosol on ozone production mainly
occurs during the afternoon.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e8371">Diurnal profiles of mean <inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M567" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
and <inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">AOD</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in August 2012 under clear-sky
conditions.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f10.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><?xmltex \currentcnt{6}?><label>Table 6</label><caption><p id="d1e8496">The fitting parameters <inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and determination
coefficients of Eq. (6) for <inline-formula><mml:math id="M571" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M572" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) in the ozone column range of 300–330 DU.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M575" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M576" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M579" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col6" align="center"><inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.58</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M583" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.63</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M585" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M586" display="inline"><mml:mrow><mml:mn mathvariant="normal">43</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.96</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e8766">The above analysis focuses on the effect of aerosol on the ozone production
due to aerosol light extinction. However, it does not consider the close
relationship between aerosol and ozone's gaseous precursors in the actual
atmosphere. To explain this problem, we chose two adjacent days (small SZA
effect) with obviously different AOD levels: a clean day (A day: August 21,
2012; AOD <inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula>, PM<inline-formula><mml:math id="M588" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M589" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and a day with high
aerosol pollution (B day; 26 August 2012; AOD <inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn></mml:mrow></mml:math></inline-formula>, PM<inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">125.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M592" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Table 7). The difference in AOD between the two days can
be taken to represent the maximum daytime gap of AOD for this month. The
ozone column concentrations for these two days were 302 and 301 DU,
respectively, of which the effect on <inline-formula><mml:math id="M593" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M594" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) is negligible. Under these
conditions, the <inline-formula><mml:math id="M595" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M596" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) value at noon decreases from <inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.23</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M598" 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 A day to <inline-formula><mml:math id="M599" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.29</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M600" 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 B day (i.e., a 60 % reduction), and the <inline-formula><mml:math id="M601" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M602" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) value at
noon decreases from <inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.26</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M604" 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 A day to <inline-formula><mml:math id="M605" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.19</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M606" 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 B day (i.e., a 49.2 % reduction). As shown
in Table 7, B day has higher AOD and higher concentrations of gaseous
pollutants. The concentrations of CO, <inline-formula><mml:math id="M607" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and HCHO and the OH reactivity
of VOCs in B day are much higher than in A day, with ratios of 3.5, 2.3, 3.4, and 4.9, respectively. The simultaneous increases of gaseous pollutants and
AOD are due to the fact that gaseous pollutants (<inline-formula><mml:math id="M608" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M609" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and VOCs)
emitted by major pollution sources in Beijing, including traffic and
industry, have undergone the processes of gas-phase oxidation and nucleation
to generate secondary particulate matter that contributes to aerosol light
extinction. Previous studies have reported that secondary particulate matter
has accounted for more than 60 % of total particulate matter during severe
smog pollution in Beijing summers (T. Han et al., 2015; Guo et al., 2014). In
addition, several studies have shown that secondary components in
particulate matter (especially secondary organics and ammonium sulfate) have
dominated the aerosol light extinction (Han et al., 2014, 2017;
Wang et al., 2015). Observations made in Beijing during the summer of 2006
showed<?pagebreak page9424?> that ammonium sulfate and ammonium nitrate contributed 44.6 % and
22.3 %, respectively, to the total extinction coefficient during a severe
period of smog (Han et al., 2014); in the summer of 2014 in Beijing,
ammonium sulfate, secondary organic aerosols, and ammonium nitrate
contributed 30 %, 22 %, and 18 %, respectively, to the total
extinction coefficient (Han et al., 2017).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T7" specific-use="star"><?xmltex \currentcnt{7}?><label>Table 7</label><caption><p id="d1e9066">Mean and standard deviation of observed data during daytime
(06:00–18:00) for A day and B day.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Observed data</oasis:entry>
         <oasis:entry colname="col2">A day: 21 August 2012</oasis:entry>
         <oasis:entry colname="col3">B day: 26 August 2012</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">AOD</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M610" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M611" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PM<inline-formula><mml:math id="M612" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M613" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:mn mathvariant="normal">22</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M615" display="inline"><mml:mrow><mml:mn mathvariant="normal">125</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M616" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column (DU)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:mn mathvariant="normal">302</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:mn mathvariant="normal">301</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Temperature (<inline-formula><mml:math id="M619" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M620" display="inline"><mml:mrow><mml:mn mathvariant="normal">28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M621" display="inline"><mml:mrow><mml:mn mathvariant="normal">28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Relative humidity (%)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M622" display="inline"><mml:mrow><mml:mn mathvariant="normal">48</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M623" display="inline"><mml:mrow><mml:mn mathvariant="normal">55</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M624" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M625" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) (s<inline-formula><mml:math id="M626" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M627" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M628" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M629" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M630" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (s<inline-formula><mml:math id="M631" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M632" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M634" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppb)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M635" display="inline"><mml:mrow><mml:mn mathvariant="normal">51</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:mn mathvariant="normal">87</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">53</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M637" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppb)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M638" display="inline"><mml:mrow><mml:mn mathvariant="normal">11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M639" display="inline"><mml:mrow><mml:mn mathvariant="normal">25</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CO (ppm)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.85</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VOC reactivity (s<inline-formula><mml:math id="M642" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M644" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCHO (ppb)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M645" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M646" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e9703">As shown in Fig. 11, the simulation results indicate that the net
<inline-formula><mml:math id="M647" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M648" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) of B day is 36.2 % higher than that of A day due to higher
concentrations of ozone precursors on B day. This result is consistent with
the observed ozone concentrations, of which the observed ozone concentration
in B day is 1.7 times higher than that of A day. If we adjust the photolysis
frequencies level of B day to the level of A day, the net <inline-formula><mml:math id="M649" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M650" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
increases by 70.0 %, which indicates that the high level of particulate
matter in B day greatly inhibits ozone production. This result means that
the system is under negative feedback, thus keeping <inline-formula><mml:math id="M651" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at a relatively
stable level. Table 8 summarizes the average levels of gaseous pollutants
and photolysis frequencies for AOD less than 1 and greater than 1, as
measured during August 2012. It shows that the concentrations of ozone's
precursors are higher and the photolysis frequencies are lower at high AOD
levels (AOD <inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) than those at a low AOD level (AOD <inline-formula><mml:math id="M653" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>).
This result means that the negative feedback mechanism is prevalent
throughout the whole campaign period. Therefore, the prevention and control
measures of air pollution in Beijing need to incorporate this coupling
mechanism between particulate matter and ozone to achieve effective control
of these two main pollutants.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e9776">Diurnal profile of net <inline-formula><mml:math id="M654" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M655" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) simulated by the box model.
Three cases are displayed: (1) A day (red circles), 21 August 2012, with a low
AOD level and high photolysis frequencies; (2) B day (blue circles), 26 August 2012, with a high AOD level and low photolysis frequencies; and (3) the
photolysis frequencies of B day adjusted to the level of A day with other
conditions unchanged (green circles). The specific conditions of A day and B
day are listed in Table 7.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9413/2019/acp-19-9413-2019-f11.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T8" specific-use="star"><?xmltex \currentcnt{8}?><label>Table 8</label><caption><p id="d1e9807">Monthly mean and standard deviation of observed data during daytime
(06:00–18:00) under the conditions of AOD less than 1 and larger than 1 in
August 2012.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Observed data</oasis:entry>
         <oasis:entry colname="col2">AOD <inline-formula><mml:math id="M656" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">AOD <inline-formula><mml:math id="M657" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">AOD</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M658" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.43</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M659" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PM<inline-formula><mml:math id="M660" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M661" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M662" display="inline"><mml:mrow><mml:mn mathvariant="normal">26</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M663" display="inline"><mml:mrow><mml:mn mathvariant="normal">77</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">47</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M664" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column (DU)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M665" display="inline"><mml:mrow><mml:mn mathvariant="normal">303</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M666" display="inline"><mml:mrow><mml:mn mathvariant="normal">302</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Temperature (<inline-formula><mml:math id="M667" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M668" display="inline"><mml:mrow><mml:mn mathvariant="normal">30</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M669" display="inline"><mml:mrow><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Relative humidity (%)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M670" display="inline"><mml:mrow><mml:mn mathvariant="normal">42</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M671" display="inline"><mml:mrow><mml:mn mathvariant="normal">57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M672" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M673" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) (s<inline-formula><mml:math id="M674" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M675" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M676" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M677" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M678" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (s<inline-formula><mml:math id="M679" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M680" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M681" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M682" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppb)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M683" display="inline"><mml:mrow><mml:mn mathvariant="normal">54</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M684" display="inline"><mml:mrow><mml:mn mathvariant="normal">66</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">44</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M685" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppb)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M686" display="inline"><mml:mrow><mml:mn mathvariant="normal">16</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M687" display="inline"><mml:mrow><mml:mn mathvariant="normal">24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CO (ppm)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M688" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M689" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.95</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VOC reactivity (s<inline-formula><mml:math id="M690" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M691" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M692" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCHO (ppb)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M693" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M694" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e10471">Photolysis reactions are important driving forces for tropospheric
photochemical oxidation processes and ozone production. In this study, we
explored in detail the effects of aerosols on photolysis frequencies and
ozone production in Beijing, based on a long observation period of 4 years.
We have found the following:
<list list-type="order"><list-item>
      <p id="d1e10476">There is a strong correlation between PM<inline-formula><mml:math id="M695" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and AOD, and the slope in
summer is significantly smaller than in winter, which indicates that
aerosols in summer have a more efficient extinction capacity than in winter.</p></list-item><list-item>
      <p id="d1e10489">As AOD increased, the extinction effect of aerosol on photolysis frequencies
was decreased; this result was probably related to a higher proportion of
scattering aerosols under high AOD conditions than under low AOD conditions.
The slope of the correlation between photolysis frequencies and AOD
indicates that the aerosols in Beijing have a stronger extinction on
actinic flux than absorptive dust aerosols in the Mediterranean.</p></list-item><list-item>
      <p id="d1e10493">The influence of AOD on photolysis frequencies was evaluated quantitatively
by establishing parametric equations. According to the parametric equation,
aerosols lead to a decrease in seasonal mean <inline-formula><mml:math id="M696" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M697" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) by 24 % and
30 % for summer and winter, respectively, and a corresponding decrease
in seasonal mean <inline-formula><mml:math id="M698" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M699" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) by 27 % and 33 % respectively, compared to
an aerosol-free atmosphere.</p></list-item><list-item>
      <p id="d1e10535">In order to evaluate the effects of aerosols on ozone production rate, we
carried out an observation campaign in August 2012. The results show that
aerosols reduced the net ozone production rate by 25 % by reducing the
photolysis frequencies. High concentrations of ozone gaseous precursors were
often accompanied by high concentrations of particulate matter, which, to<?pagebreak page9425?> a
large extent, inhibited excessive levels of ozone generation and reflected
the negative feedback effect of the atmospheric system. Therefore, the
influence of aerosol on photolysis frequencies and thus on the rate of
oxidation of VOCs and <inline-formula><mml:math id="M700" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to ozone and secondary aerosol is important for
determining the atmospheric effects of controlling the precursor emissions
of these two important air pollutants (aerosols and ozone).</p></list-item></list></p>
</sec>

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

      <p id="d1e10554">The data can be accessed upon contact with the corresponding authors.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e10557">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-19-9413-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-19-9413-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e10566">WW acquired, analysed, and interpreted data, drafted the article, and revised it critically.
MS and XL substantially contributed to conception and design and revised the article critically. MH, LZ, YW, and TT collected data.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e10572">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e10578">We
thank Hongbin Chen and Philippe Goloub for data management of AOD and other
aerosol optical properties on AERONET.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e10583">This research has been supported by the Major Program of the National Natural Science Foundation of China (grant no.  91644222).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e10589">This paper was edited by Stelios Kazadzis and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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    <!--<article-title-html>The impact of aerosols on photolysis frequencies and ozone production in  Beijing during the 4-year period 2012–2015</article-title-html>
<abstract-html><p>During the period 2012–2015, photolysis frequencies were measured at the
Peking University site (PKUERS), a site representative of Beijing. We
present a study of the effects of aerosols on two key photolysis
frequencies, <i>j</i>(O<sup>1</sup>D) and <i>j</i>(NO<sub>2</sub>). Both <i>j</i>(O<sup>1</sup>D) and <i>j</i>(NO<sub>2</sub>)
display significant dependence on aerosol
optical depth (AOD; 380&thinsp;nm) with a non-linear negative
correlation. With the increase in AOD, the slopes of photolysis frequencies
vs. AOD decrease, which indicates that the capacity of aerosols to reduce the
actinic flux decreases with AOD. The absolute values of slopes are equal to
4.2–6.9×10<sup>−6</sup>  and 3.4×10<sup>−3</sup>&thinsp;s<sup>−1</sup> per AOD unit for
<i>j</i>(O<sup>1</sup>D) and <i>j</i>(NO<sub>2</sub>) respectively at a solar zenith angle (SZA) of 60° and AOD
smaller than 0.7, both of which are larger than those observed in a similar,
previous study in the Mediterranean. This indicates that the aerosols in
Beijing have a stronger extinction effect on actinic flux than
absorptive dust aerosols in the Mediterranean. Since the photolysis
frequencies strongly depended on the AOD and the SZA,
we established a parametric equation to quantitatively evaluate the effect
of aerosols on photolysis frequencies in Beijing. According to the
parametric equation, aerosols lead to a decrease in seasonal mean
<i>j</i>(NO<sub>2</sub>) by 24&thinsp;% and 30&thinsp;% for summer and winter, respectively, and
a corresponding decrease in seasonal mean <i>j</i>(O<sup>1</sup>D) by 27&thinsp;% and 33&thinsp;%,
respectively, compared to an aerosol-free atmosphere (AOD  = 0). Based on
an observation campaign in August 2012, we used a photochemical box model
to simulate the ozone production rate (<i>P</i>(O<sub>3</sub>)). The simulation results
shows that the monthly mean daytime net ozone production rate is reduced by
up to 25&thinsp;% due to the light extinction of aerosols. Through further
in-depth analysis, it was found that particulate matter concentrations
maintain a high level under the condition of high concentrations of ozone
precursors (volatile organic compounds, VOCs, and NO<sub><i>x</i></sub>), which inhibits the production of ozone to a large
extent. This phenomenon implies a negative feedback mechanism in the
atmospheric environment of Beijing.</p></abstract-html>
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