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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <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-23-3065-2023</article-id><title-group><article-title>Characteristics and degradation of organic aerosols from cooking sources
based on hourly observations of organic molecular markers in urban
environments</article-title><alt-title>Characteristics and degradation of organic aerosols from cooking sources</alt-title>
      </title-group><?xmltex \runningtitle{Characteristics and degradation of organic aerosols from cooking sources}?><?xmltex \runningauthor{R. Li et al.}?>
      <contrib-group>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff1 aff2">
          <name><surname>Li</surname><given-names>Rui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff1 aff2">
          <name><surname>Zhang</surname><given-names>Kun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Li</surname><given-names>Qing</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Yang</surname><given-names>Liumei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wang</surname><given-names>Shunyao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Liu</surname><given-names>Zhiqiang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Zhang</surname><given-names>Xiaojuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Chen</surname><given-names>Hui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Yi</surname><given-names>Yanan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Feng</surname><given-names>Jialiang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Wang</surname><given-names>Qiongqiong</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8258-7201</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Huang</surname><given-names>Ling</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wang</surname><given-names>Wu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wang</surname><given-names>Yangjun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Yu</surname><given-names>Jian Zhen</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6165-6500</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Li</surname><given-names>Li</given-names></name>
          <email>lily@shu.edu.cn</email>
        <ext-link>https://orcid.org/0000-0001-5575-0894</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of Environmental and Chemical Engineering, Shanghai
University, Shanghai, 200444, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Key Laboratory of Organic Compound Pollution Control Engineering
(MOE), <?xmltex \hack{\break}?>Shanghai University, Shanghai, 200444, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Jiangsu Changhuan Environment Technology Co., Ltd., Jiangsu, Changzhou, 213004, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School of Environmental Studies, China University of Geosciences,
Wuhan, 430074, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Chemistry, Hong Kong University of Science and
Technology, Hong Kong SAR, 999077, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Division of Environment and Sustainability, Hong Kong University of
Science and Technology, <?xmltex \hack{\break}?>Hong Kong SAR, 999077, China</institution>
        </aff><author-comment content-type="econtrib"><p>These authors contributed equally to this work.</p></author-comment>
      </contrib-group>
      <author-notes><corresp id="corr1">Li Li (lily@shu.edu.cn)</corresp></author-notes><pub-date><day>9</day><month>March</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>5</issue>
      <fpage>3065</fpage><lpage>3081</lpage>
      <history>
        <date date-type="received"><day>21</day><month>August</month><year>2022</year></date>
           <date date-type="rev-request"><day>5</day><month>September</month><year>2022</year></date>
           <date date-type="rev-recd"><day>16</day><month>February</month><year>2023</year></date>
           <date date-type="accepted"><day>16</day><month>February</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</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>

      <?pagebreak page3066?><p id="d1e260">Molecular markers in organic aerosol (OA) provide specific source
information on PM<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, and the contribution of cooking organic aerosols
to OA is significant, especially in urban environments. However, the low
time resolution of offline measurements limits the effectiveness when
interpreting the tracer data, the diurnal variation in cooking emissions and
the oxidation process. In this study, we used online thermal desorption
aerosol gas chromatography and mass spectrometry (TAG) to measure organic
molecular markers in fine particulate matter (PM<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) at an urban site
in Changzhou, China. The concentrations of saturated fatty acids (sFAs),
unsaturated fatty acids (uFAs) and oxidative decomposition products (ODPs) of
unsaturated fatty acids were measured every 2 h to investigate
the temporal variations and the oxidative decomposition characteristics of
uFAs in urban environments. The average concentration of total fatty acids
(TFAs, sum of sFAs and uFAs) was measured to be
<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mn mathvariant="normal">105.70</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">230.28</mml:mn></mml:mrow></mml:math></inline-formula> ng m<inline-formula><mml:math id="M4" 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>. The average concentration of TFAs in the polluted period (PM<inline-formula><mml:math id="M5" 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">35</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M7" 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>) was 147.06 ng m<inline-formula><mml:math id="M8" 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>, which was 4.2
times higher than that in the clean period
(PM<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M11" 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>) and higher than the enhancement of PM<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (2.2 times) and
organic carbon (OC) (2.0 times) concentrations when comparing the polluted period to the
clean period. The mean concentration of cooking aerosol in the polluted
period (4.0 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M14" 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>) was about 5.3 times higher than that in the
clean period (0.75 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M16" 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>), which was similar to the trend of fatty
acids. Fatty acids showed a clear diurnal variation. Linoleic acid <inline-formula><mml:math id="M17" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic
acid and oleic acid <inline-formula><mml:math id="M18" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid ratios were significantly higher at
dinnertime and closer to the cooking source profile. By performing
backward trajectory clustering analysis, under the influence of
short-distance air masses from surrounding areas, the concentrations of TFAs
and PM<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were relatively high, while under the influence of air masses
from easterly coastal areas, the oxidation degree of uFAs emitted from local
culinary sources was higher. The effective rate constants (<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) for the
oxidative degradation of oleic acid were estimated to be 0.08–0.57 h<inline-formula><mml:math id="M21" 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 were lower than <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (the estimated effective rate constants of
linoleic acid, 0.16–0.80 h<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Both <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> showed a
significant positive correlation with O<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, indicating that O<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was
the main nighttime oxidant for uFAs in the city of Changzhou. Using fatty
acids as tracers, cooking was estimated to contribute an average of 4.6 %
to PM<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations, increasing to 7.8 % at 20:00 UTC<inline-formula><mml:math id="M29" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>8 h. Cooking was an
important source of OC, contributing 8.1 %, higher than the
contribution of PM<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. This study investigates the variation in the
concentrations and oxidative degradation of fatty acids and corresponding
oxidation products in ambient air, which can be a guide for the refinement
of aerosol source apportionment and provide scientific support for the
development of cooking source control policies.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e582">Organic aerosol (OA) is an important component of fine particulate matter
(PM<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>), accounting for 20 %–90 % of the total PM<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass
(Kanakidou et al., 2005). Among different OA sources,
restaurant fumes are relatively important (Huang et al.,
2021). The contribution of cooking organic aerosols (COAs) to OA is
significant, especially in urban environments, where COAs can contribute
11 %–34 % of total organic carbon (OC) and 3 %–9 % of PM<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
mass concentration, even higher than traffic-related hydrocarbon-based OA
(Huang et al., 2021; Li et al., 2020). Carcinogenic mutagens in restaurant fumes contain chemicals
that can be harmful to human immune functions (Huang et al.,
2020). According to the 2018 global cancer statistics, lung cancer accounts
for 24.1 % of all cancer deaths in China and is the most common cause of
cancer-related deaths in China. The carcinogenic risk analysis suggested
that the potentially adverse health effects induced by cooking sources
should not be ignored (N. Zhang et al., 2017).</p>
      <p id="d1e612">Cooking is an important source contributor to PM<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, especially in
urban environments. Cooking sources have recently received increasing
attention, but they are largely an uncontrolled source of PM<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>.
Saturated fatty acids (sFAs) and unsaturated fatty acids (uFAs), such as
palmitic, stearic and oleic acids, are known molecular markers from cooking
emissions which are released primarily during cooking activities from the
hydrolysis and thermal oxidation of cooking oils. Fatty acids and their
derivatives are often used as tracers in the receptor model for the source
apportionment of PM<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. It has been found that nonanoic acid,
9-oxononanoic acid and azelaic acid are the main atmospheric oxidation
products of oleic acid in the aerosol, while uFAs such as oleic and linoleic
acids also react with other atmospheric oxidants, such as hydroxyl (OH)
(Nah et al., 2014;  Wang et al., 2020).</p>
      <p id="d1e642">In previous studies on the molecular tracers of cooking sources based on
filter membrane sampling, the time resolution usually varies from 1 d to
several days, which cannot accurately capture the diurnal variations in
pollutants emitted by the cooking source (Li et al., 2021). Thermal desorption aerosol gas chromatography and mass spectrometry (TAG)
enables online monitoring of organic molecular markers (Wang
et al., 2020). By clarifying the characteristics of cooking emissions and
quantifying the concentrations of pollutants emitted from cooking and their
contribution to urban OA on diurnal timescales, we build up data and
process knowledge about cooking-source PM<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution, which in turn
helps us to evaluate the option of controlling cooking emissions in
overall pollution prevention for urban environments.</p>
      <p id="d1e654">Processes such as emission rate, atmospheric dilution and photochemical
oxidation can affect aerosol composition measured at receptor sites
(Fortenberry et al., 2019;  Yee et al., 2018).
Particulate organic matter can undergo heterogeneous oxidation by ozone, OH
and nitrate (NO<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) radicals (Wang et al., 2020). When
using organic tracer data from filter analysis, variations in concentration
due to degradation or secondary production were reported
(Ringuet et al., 2012). These degradation and
generation processes in the atmosphere are therefore worthy of our attention
when using organic markers as source tracers. The mechanism and kinetics of
the ozonolysis of oleic acid and linoleic acid in the presence of oxidants such
as NO<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and OH radicals have been extensively studied in
laboratory studies (Vesna et al., 2009; Zahardis
and Petrucci, 2007; Ziemann, 2005). The aging of primary organic aerosol (POA) markers
under atmospheric conditions, however, is still far from being properly
understood with few field observations performed on this topic compared to
laboratory studies (Bertrand et al., 2018a, b). Highly time-resolved observations would help
to fill this gap.</p>
      <p id="d1e685">In this study, TAG was employed at an urban site in Changzhou, China, to
investigate the variation in atmospheric cooking-related fatty acids with
hourly-resolution data (Ren et al., 2019). The aim of this
study is to identify the contribution of cooking emissions to ambient
PM<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> with hourly organic molecular data and to investigate the
oxidative decomposition reactions of cooking-related uFAs in an urban area.
Results of this study could provide a valid basis and insights for the
refinement of PM<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> source apportionment, as well as atmospheric
modeling.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Field measurement</title>
      <?pagebreak page3067?><p id="d1e721">Gaseous pollutants, PM<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and its main chemical constituents (water-soluble ions, carbon components, elements, etc.), as well as organic
markers (alkanes, hopanes, polycyclic aromatic hydrocarbons, sugars,
alcohols, organic acids, etc.), were measured online at the Changzhou
Environmental Monitoring Center of Jiangsu Province (CEMC) (31.76<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 119.96<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)
during January–March 2021, which is a representative urban site (Fig. 1).
The meteorological parameters were obtained from a meteorological monitor
(WXT520, VAISALA Inc., FL). O<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were measured with an ozone
analyzer (49i-PS, Thermo Fisher Scientific, US) and a NO<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> analyzer (MODEL42i,
Thermo Fisher Scientific, US), respectively. PM<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentration
was measured with an online particulate matter monitor (BAM1020. Met One Inc.,
US). The concentration of the carbon components (organic carbon, OC;
elemental carbon, EC) was measured using semi-continuous OC–EC analyzer
(RT-4, Sunset Laboratory Inc, US) (Nicolosi et al., 2018;
Q. Zhang et al., 2017). Water-soluble ions were measured with a MARGA
ionic online analyzer (ADI2080, Metrohm, Switzerland) (Makkonen et al., 2012), and elements were measured with an atmospheric
elements online monitor (EHM-X200, Tianrui, China).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e790">Location of the sampling site in Changzhou, China.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f01.png"/>

        </fig>

      <p id="d1e799">The quantification of hourly speciated organic markers was achieved using TAG.
The operation details and data quality have been described in our previous
work (Wang et al., 2020; Zhang et al., 2021).
The sampling and analysis sequence of the TAG system includes four steps:
(a) PM<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> sampling and synchronous gas chromatography–mass spectrometry
(GC-MS) analysis of the previous sample; (b) loading of the internal
standards (ISs) from the standard (STD) reservoir to a thermal desorption
cell; (c) derivatization and thermal desorption of analytes on the
collection and thermal desorption (CTD) cell and subsequent preconcentration
of the analytes in a focusing trap (FT); and (d) loading of analytes into the
GC column for GC-MS analysis. The following is a detailed description.
Ambient air was sampled at a flow rate of 8.5–9.5 L min<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> through a cyclone
with PM<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> cutting size (BGI Inc., Waltham, MA), a Nafion dryer (PERMA
PURE, MD-700-24S-3) to remove moisture and then a carbon denuder
(model: ADI-DEN2) to remove volatile organics. The sampled particles were
collected on the CTD cell at 30 <inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 60 min, followed by
derivatization and thermal desorption for 8 min as the temperature of the
CTD cell increases to 300 <inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in 2 min and is maintained for 6 min,
during which a 10 mL min<inline-formula><mml:math id="M55" 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> helium purge flow combined with a 40 mL min<inline-formula><mml:math id="M56" 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>
derivatization flow with N-methyl-N-(trimethylsilyl)trifluoroacetamide
(MSTFA) flows through for 8 min. Subsequently, the FT was heated to
300<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in 2 min and kept at 300<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 10 min, transferring
the analytes onto the GC column head (DB-5MS, size <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mn mathvariant="normal">30</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) by carrier gas. After GC separation, the target
organics were sent to the MS detector for quantification. The GC-MS analysis
duration for each sample was 60 min while the collection of the next sample  of the
CTD cell starts. With the current TAG instrumental setup, samples were
collected every even hour. The post-sampling steps, including in situ
derivatization, thermal desorption, GC-MS analysis and standby step, took 2 h, thus producing 12 samples per day.</p>
      <p id="d1e928">The summary of target organic molecular markers and ISs is shown in Table 1.
The identification of compounds was performed by comparing retention times and
mass spectra with those of authentic standards (Vesna et al.,
2009; Wang et al., 2020). Calibration curves were established
by the internal standard method. The correlation coefficients of the calibration
curves range from 0.88–1.00. For compounds without authentic standards and
for compounds whose authentic standards are not included in the current
standard mixture, their identification is performed by comparing their mass
spectra with the National Institute of Standards and Technology (NIST)
libraries. Azelaic acid was identified and quantified by using authentic
standards. Nonanoic acid and 9-oxononanoic acid were identified by
comparison with mass spectra in the NIST library and by referring to
Ziemann (2005),  Pleik et al. (2016), and
Wang et al. (2020). Ozone oxidation of oleic acid yields
C<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aldehydes and acids including nonanal, azelaic acid, nonanoic acid
and 9-oxononanoic acid. Since nonanal could also be primarily in the gas
phase, it is thus not discussed in this paper. The library of the NIST was
identified and quantified using the alternative standards specified in Table 1.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e943">Statistics of hourly concentrations of organics associated with
cooking emissions measured by TAG during the campaign.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Compounds</oasis:entry>
         <oasis:entry colname="col2">Average</oasis:entry>
         <oasis:entry colname="col3">SD</oasis:entry>
         <oasis:entry colname="col4">Min</oasis:entry>
         <oasis:entry colname="col5">Max</oasis:entry>
         <oasis:entry colname="col6">Quantification IS</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Myristic acid<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.69</oasis:entry>
         <oasis:entry colname="col3">1.33</oasis:entry>
         <oasis:entry colname="col4">0.03</oasis:entry>
         <oasis:entry colname="col5">10.14</oasis:entry>
         <oasis:entry colname="col6">Palmitic acid-d<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">31</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Palmitic acid</oasis:entry>
         <oasis:entry colname="col2">38.77</oasis:entry>
         <oasis:entry colname="col3">84.14</oasis:entry>
         <oasis:entry colname="col4">1.45</oasis:entry>
         <oasis:entry colname="col5">670.12</oasis:entry>
         <oasis:entry colname="col6">Palmitic acid-d<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">31</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Stearic acid</oasis:entry>
         <oasis:entry colname="col2">26.51</oasis:entry>
         <oasis:entry colname="col3">50.58</oasis:entry>
         <oasis:entry colname="col4">1.81</oasis:entry>
         <oasis:entry colname="col5">341.65</oasis:entry>
         <oasis:entry colname="col6">Palmitic acid-d<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">31</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Oleic acid</oasis:entry>
         <oasis:entry colname="col2">32.15</oasis:entry>
         <oasis:entry colname="col3">81.34</oasis:entry>
         <oasis:entry colname="col4">0.96</oasis:entry>
         <oasis:entry colname="col5">723.95</oasis:entry>
         <oasis:entry colname="col6">Stearic acid-d<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">35</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Linoleic acid<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">7.80</oasis:entry>
         <oasis:entry colname="col3">28.32</oasis:entry>
         <oasis:entry colname="col4">0.09</oasis:entry>
         <oasis:entry colname="col5">326.50</oasis:entry>
         <oasis:entry colname="col6">Stearic acid-d<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">35</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Nonanoic acid<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.19</oasis:entry>
         <oasis:entry colname="col3">1.32</oasis:entry>
         <oasis:entry colname="col4">BD<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">7.94</oasis:entry>
         <oasis:entry colname="col6">Adipic acid-d<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9-oxononanoic acid<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">3.91</oasis:entry>
         <oasis:entry colname="col3">4.73</oasis:entry>
         <oasis:entry colname="col4">0.19</oasis:entry>
         <oasis:entry colname="col5">17.18</oasis:entry>
         <oasis:entry colname="col6">Adipic acid-d<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Azelaic acid</oasis:entry>
         <oasis:entry colname="col2">8.30</oasis:entry>
         <oasis:entry colname="col3">26.56</oasis:entry>
         <oasis:entry colname="col4">BD</oasis:entry>
         <oasis:entry colname="col5">198.88</oasis:entry>
         <oasis:entry colname="col6">Adipic acid-d<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e946"><inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Quantified using palmitic acid as the surrogate. <inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Quantified using oleic acid as the surrogate. <inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Quantified using azelaic acid as the surrogate. <inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> Below detection limit.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Backward trajectory analysis</title>
      <p id="d1e1319">Backward trajectory analysis is a useful tool in identifying the influence
of air masses on the chemical composition of PM<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Wang
et al., 2017). Backward trajectories of 36 h duration arriving at an
altitude of 100 m above ground level (a.g.l.) over the CEMC site were
calculated deploying 0.5<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> Global Data Assimilation System
(GDAS) meteorological data (<uri>https://www.ready.noaa.gov/archives.php</uri>, last access: 16 August 2022). The
trajectories were then classified into different clusters according to the
geographical origins and movement of the trajectories using the TrajStat
model (Li et al., 2020).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Relative rate constant analysis</title>
      <p id="d1e1351">Ambient concentrations of species are influenced by the emissions,
atmospheric dilution/compaction, chemical loss/production and wet/dry
deposition. As the target sFAs and uFAs in urban environments are
predominately primary in their source origin, the chemical production rate
could be assumed to be negligible. Donahue
et al. (2005) formulated the relative rate expression for heterogeneous
oxidation reactions of multicomponent OA. The specific expression applied to
the ambient measurements of uFAs is derived as in Eq. (1) and Eq. (2) (Wang and Yu, 2021).

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M81" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>×</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>k</mml:mi><mml:mo>≈</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">OX</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the particle-phase concentration of species <inline-formula><mml:math id="M84" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and sFAs,
respectively. Among the quantified sFA and uFA<?pagebreak page3068?> cooking markers, palmitic
acid was selected as the reference molecule for normalization. Using the
concentration ratio eliminates the interference from atmospheric dilution
and deposition. Fitting the ambient <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data versus <inline-formula><mml:math id="M86" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> with an
exponential function provides an estimate for <inline-formula><mml:math id="M87" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, the effective pseudo-first-order decay rate (h<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">r</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the second-order reaction rate
constant of species <inline-formula><mml:math id="M90" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> against an oxidant. <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">OX</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the average oxidant
concentration in the aerosol.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Source apportionment based on PMF</title>
      <p id="d1e1537">Positive matrix factorization (PMF) is a bilinear factor analysis method
which is widely used to identify pollution sources<?pagebreak page3069?> and quantify their
contributions to the ambient air pollutants at receptor sites, with an
assumption of mass conservation between emission sources and receptors
(Amato et al., 2009; Lee et al., 2008). In this
study, the United States Environmental Protection Agency (USEPA) PMF version
5.0 (Norris et al., 2014) was applied to perform the
analysis. PMF decomposes the measured data matrix, <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></inline-formula> into a factor
profile matrix, <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and a factor contribution matrix, <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. 3):

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M95" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>p</mml:mi></mml:msubsup><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>e</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">Q</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mi>e</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the measured ambient concentration of target pollutants,
<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the source contribution of the <inline-formula><mml:math id="M98" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>th factor to the
<inline-formula><mml:math id="M99" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th sample, <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the factor profile of the <inline-formula><mml:math id="M101" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>th
species in the <inline-formula><mml:math id="M102" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>th factor, and <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>e</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the residual concentration for each
data point. PMF seeks a solution that minimizes an object function <inline-formula><mml:math id="M104" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> (Eq. 4),
with the uncertainties of each observation (<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) provided by the user.</p>
      <p id="d1e1816">The uncertainty of each data point was calculated according to Eq. (5):
            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M106" display="block"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="normal">EF</mml:mi></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mi mathvariant="normal">MDL</mml:mi></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where MDL is the method detection limit and EF is the error fraction
determined by the user and associated with the measurement uncertainties.
The concentration data below MDL were replaced by half of the MDL, and the
corresponding uncertainty <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was calculated as five-sixths of the MDL.
Missing values were replaced by the median value of the species, and its
<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was assigned as 4 times the median value (Norris et al., 2014).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
      <p id="d1e1910">The time series of hourly data of meteorological parameters, gaseous
pollutants (including O<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), PM<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, water-soluble ions and
carbon components during the monitoring period (10–14 January, 9–15 February
and 11–16 March 2021) are shown in Fig. 2. During the campaign, the average
temperature (<inline-formula><mml:math id="M112" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), relative humidity (RH) and wind speed (WS) were <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mn mathvariant="normal">55.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> m s<inline-formula><mml:math id="M117" 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>, respectively.
The average concentrations of gas pollutants, PM<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, water-soluble ions,
and OC and EC are listed in Table S2. The average concentrations of NO<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
O<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mn mathvariant="normal">42.85</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25.89</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mn mathvariant="normal">51.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">29.62</mml:mn></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mn mathvariant="normal">50.07</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">26.54</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M126" 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>, respectively. Additionally, the average
OC and EC concentrations were <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.63</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.04</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M130" 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>, respectively, with the contribution of OC to PM<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> ranging
from 4.7 % to 26.8 % (13.2 % as average).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2157">Time series of pollutant concentrations and meteorological
parameters.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f02.png"/>

      </fig>

<?xmltex \hack{\newpage}?>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Characteristics of cooking-derived organic molecular markers</title>
      <p id="d1e2176">The fatty acids studied include the three most abundant sFAs (myristic, palmitic
and stearic acids) and the two most abundant uFAs (oleic and linoleic acids). The
concentration of total fatty acids (TFAs; sum of the concentrations of the
five fatty acids) was <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">105.70</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">230.28</mml:mn></mml:mrow></mml:math></inline-formula> ng m<inline-formula><mml:math id="M133" 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>, ranging from 8.30
to 2066.30 ng m<inline-formula><mml:math id="M134" 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>, which is close to the concentrations at the urban
site in Shanghai (105 ng m<inline-formula><mml:math id="M135" 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>) (Li et al., 2020;
Wang et al., 2020). The average percentage of TFAs in OC was
1.3 % with the maximum value of 8.7 % (the concentration of PM<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
at the corresponding time was 99 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M138" 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>), which was 6.6 times
higher than the average. It revealed that the composition of PM<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
could dramatically change, especially during dinnertime (18:00–20:00; all times are UTC<inline-formula><mml:math id="M140" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>8 h).
The mean concentration of TFAs at dinnertime was 172.89 ng m<inline-formula><mml:math id="M141" 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>, and the
contribution of TFAs to PM<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and OC mass concentration was
2.7 ‰ and 1.8 %, respectively, which were 1.6 and 1.4
times the mean during the observation period.</p>
      <p id="d1e2294">We define the “polluted period” as the periods with hourly PM<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations exceeding 35 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M145" 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>, and the remaining periods are
defined as the “clean period”. Table 2 shows the mean values of PM<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>,
OC, TFA concentrations and meteorological conditions during the clean
(PM<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M149" 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>) and polluted periods (PM<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>≥</mml:mo></mml:mrow></mml:math></inline-formula>35 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M152" 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>). Generally, the meteorological conditions during
the polluted period are unfavorable compared to the clean period, showing
lower wind speed and higher humidity. The ratios of WS, <inline-formula><mml:math id="M153" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> and RH during the
polluted period to the clean period are 0.9, 1.0 and 1.1, respectively. The
mean concentration of PM<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> during the polluted period was 62.86 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M156" 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>, which was 2.2 times higher than that during the clean period
(28.29 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M158" 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>). OC and PM<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were similar, with concentrations
during the polluted period being 2.0 times higher than during the clean
period. The mean concentration of TFAs in the polluted period was
147.06 ng m<inline-formula><mml:math id="M160" 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>, 4.2 times higher than that in the clean hours (35.28 ng m<inline-formula><mml:math id="M161" 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>). Additionally, the concentrations of sFAs and uFAs in the
polluted hours were 4.3 and 4.1 times higher than those during the clean
period, respectively.</p>
      <p id="d1e2493">The concentrations of TFAs were influenced by emissions, accumulation,
transport and dispersion of pollutants during the polluted periods
(Hou et al., 2006; Schauer et al., 2003). The
fatty acid content of 1.95 ng <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in PM<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> during the polluted
period was 1.6 times greater than that of 1.24 ng <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g<inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the clean
period, which was smaller than the variation range of PM<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and OC
concentrations before and after the polluted period. The variation in TFAs
in OC was similar to that in PM<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. Table S1 in the Supplement shows the contribution of
total fatty acids directly emitted from various sources to OC, in which the
contribution of TFAs from vehicle exhaust is the least and the proportion
of TFAs emitted from cooking in OC is higher than that from other sources.
The change in TFAs <inline-formula><mml:math id="M169" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC was weaker than the change in OC mainly because
cooking has relatively small<?pagebreak page3070?> fluctuations in emissions, while the increase
in OC concentration was more significant with simultaneous contributions
from other sources (e.g., biomass burning, coal combustion and vehicle
exhaust). Similarly, the mass concentration 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> was significantly driven by
emission sources. The observed contribution of TFAs to OC in
PM<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was smaller than the TFAs <inline-formula><mml:math id="M172" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC ratio in cooking but larger than that
in other sources.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2600">PM<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration, organic carbon fraction, fatty acid
concentration and meteorological conditions during the clean and polluted
periods.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.85}[.85]?><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="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Species</oasis:entry>
         <oasis:entry colname="col2">Clean period</oasis:entry>
         <oasis:entry colname="col3">Polluted period</oasis:entry>
         <oasis:entry colname="col4">Polluted/</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">clean</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">PM<inline-formula><mml:math id="M174" 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="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M176" 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>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mn mathvariant="normal">28.29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.27</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mn mathvariant="normal">62.86</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25.67</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">2.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OC (<inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.05</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.09</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.00</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.23</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">2.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TFAs (ng m<inline-formula><mml:math id="M183" 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>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mn mathvariant="normal">35.28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">28.17</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mn mathvariant="normal">147.06</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">281.66</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">4.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">sFAs (ng m<inline-formula><mml:math id="M186" 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>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.91</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mn mathvariant="normal">92.05</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">162.75</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">4.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">uFAs (ng m<inline-formula><mml:math id="M189" 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>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.22</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mn mathvariant="normal">55.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">133.82</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">4.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TFAs <inline-formula><mml:math id="M192" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> PM<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (ng <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g<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>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.91</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.95</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.85</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TFAs <inline-formula><mml:math id="M198" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC (ng <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g<inline-formula><mml:math id="M200" 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="M201" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.52</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.79</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.33</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.59</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">WS (m s<inline-formula><mml:math id="M203" 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="M204" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.54</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M206" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M207" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.77</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.22</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.99</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.68</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RH (%)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mn mathvariant="normal">53.41</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.49</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mn mathvariant="normal">56.33</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18.55</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p id="d1e3185">Similar variation and diurnal patterns were found for these five fatty acids
(Fig. 3), confirming their common origin. In addition, compared to fatty
acids, the time series of C<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> acids showed a different diurnal
variation, suggesting different production and reaction processes. Fatty
acids showed a clear diurnal variation, with two peaks observed at around
06:00 and 20:00 local time, respectively, and the dinnertime peak was
especially prominent. In contrast to the previous observations in Shanghai,
no peak was observed at lunchtime. The relatively higher boundary layer
during the daytime facilitated the diffusion of pollutants. The weaker
oxidation of uFAs emitted at night made the fatty acid concentration peaks
more pronounced at dinnertime (Wang et al., 2020). Figure 3b shows the contribution of various fatty acids to OC. From the diurnal
patterns, it is shown that the proportion of the five fatty acids and TFAs
in OC at noon had a weaker peak, which was still smaller than that during
the morning and evening mealtimes. In conclusion, the apparent peaks of TFAs
at dinnertime provide evidence for major source contribution to air
pollution from local cooking emissions, although there are a mix of sources
including vehicle exhaust, coal combustion, etc.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3199">Diurnal variation in five fatty acids and TFAs during the
observation period.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f03.png"/>

        </fig>

      <?pagebreak page3071?><p id="d1e3208">Fatty acids in urban atmospheres are influenced by various anthropogenic
(e.g., biomass burning, vehicle exhaust) (Hays et al., 2002;
Schauer et al., 2001;  Simoneit, 2002;
Wang et al., 2009) and biogenic sources (Oliveira et al.,
2007; Rogge et al., 2006). The main sources of fatty-acid-like
substances in the ambient air of the study area can be discerned on the
basis of characteristic ratios between fatty acids emitted from different
sources (Fig. 4) (He et al., 2004;  Pei et al.,
2016;  Rogge et al., 1993;  Zhao et al., 2015, 2007). The palmitic acid to stearic acid (<inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">P</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula>)
ratios observed in this study range between 0.49 and 3.08 (average value:
1.49), significantly lower than those associated with residential coal
combustion and industrial coal combustion while partially overlapping those
from biomass burning, vehicle exhaust and sea spray aerosol (Bikkin et al., 2019;  Cai et al., 2017;  Ho et al.,
2015;  Zhang et al., 2008, 2007).
Ho et al. (2015) investigated urban areas in Beijing where
fatty acid concentrations were elevated during traffic restrictions compared
to non-restricted periods, suggesting that motor vehicle exhaust is not the
largest source of fatty acids in urban areas. The information on fatty acid
emissions from biomass burning sources is closer to that of cooking sources
(Hays et al., 2002; Schauer et al., 2001;
Zhang et al., 2008); however, in the study of
Simoneit (2002), no oleic acid was detected in organic
molecular substances from biomass burning. The oleic acid <inline-formula><mml:math id="M214" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid (<inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula>)
ratio from sea spray aerosol samples is 0.16 (Bikkin et al.,
2019), which is obviously lower than the ambient data in this study (1.4).
Hence, during the observation in this study, vehicle exhaust and sea spray
were not the most important sources of fatty acid emissions in urban
Changzhou, especially during the dinner period, when the <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> ratio was
significantly higher and close to the ratio of the organics emitted from
traditional culinary types in the Yangtze River Delta region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3256">Ratio of fatty acids (<inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">P</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula>) in organic molecular substances emitted
directly from different sources <bold>(a)</bold> and ratio of fatty acids (<inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">P</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> versus <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula>)
emitted by different types of cooking sources and non-cooking sources <bold>(b)</bold>
(Bikkin et al., 2019; Cai et al., 2017;
Hays et al., 2002;  He et al., 2004;
Oliveira et al., 2007;  Pei et al., 2016;  Rogge et
al., 1993;  Schauer et al., 2001, 2002;
Simoneit, 2002;  Zhang et al., 2008;  Zhao et al.,
2007).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f04.png"/>

        </fig>

      <p id="d1e3308">Information on the changes in specific molecular markers is useful in
investigating the aging process of aerosol. The two uFAs (oleic acid and
linoleic acid) are more reactive with atmospheric oxidants (OH and O<inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
etc.) in the atmosphere due to the presence of C<inline-formula><mml:math id="M221" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>C bonds compared to
sFAs. Furthermore, the two homologous sFAs (palmitic and stearic acid) have
similar chemical structures, reactivity and volatility; thus their
concentration ratios can be assumed to remain constant during post-emission
periods. Therefore, the ratio of <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">P</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> mainly depends on the sources. Figure 5 shows the <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> ratios and linoleic acid <inline-formula><mml:math id="M224" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid (<inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">L</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula>) versus <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">P</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula>,
respectively. The average value of <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">P</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> was <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.49</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn></mml:mrow></mml:math></inline-formula>, which was
within the range of cooking source profile values measured from direct
emissions from different restaurants and cooking types (1.3–8.1)
(He et al., 2004;  Pei et al., 2016;
Schauer et al., 2002;  Zhao et al., 2007), as well as similar to the
ratio of <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">P</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> in atmospheric PM<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in Shanghai (1.9) (Li
et al., 2020;  Wang et al., 2020). In this study, the <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> ratio
(<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula>) of the ambient samples was overall in the range of the
cooking source profile (<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula>), while the <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">L</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> ratio of <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn></mml:mrow></mml:math></inline-formula> was slightly lower than the cooking source profile values (<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula>) (He et al., 2004;  Pei et al.,
2016;  Schauer et al., 2002;  Zhao et al., 2007).
The results of  Moise and Rudich (2002) showed that
the reactant activity is directly related to the concentration of
unsaturated bonds, with linoleic acid having an extra double bond compared to oleic
acid, indicating that linoleic acid is more easily degraded than oleic acid
(Moise and Rudich, 2002;  Thornberry and Abbatt,
2004). The <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> ratio of the ambient samples in this study was higher than
those measured in Beijing (0.65) (He et al., 2004) from
January to October and in Shanghai (0.83) (Li et al., 2020;
Wang et al., 2020) during winter.</p>
      <p id="d1e3514">The diurnal variations in <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">L</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> are also shown in Fig. 5. The ratios
were significantly higher during dinnertime and were closer to the cooking
source profile, demonstrating that changes in fatty acid concentrations may
be influenced primarily by cooking source emissions, especially during
dinnertime when fresh cooking source emissions entered into the atmosphere
and uFAs were quickly consumed due to aging. The ratio of linoleic acid to
stearic acid is consistently<?pagebreak page3072?> lower than what is involved in the source
spectrum, which may be influenced by different regions and source
characteristics from different types of restaurants, as well as small
emissions from other minor sources.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3543">The oleic <inline-formula><mml:math id="M240" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid and linoleic <inline-formula><mml:math id="M241" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid ratios compared
to the palmitic <inline-formula><mml:math id="M242" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid ratio <bold>(a)</bold> and diurnal variation in the ratio of
oleic (linoleic) acid to stearic acid concentration <bold>(b)</bold> (the cooking source
profile values were measured from direct emissions from different
restaurants and cooking types) (He et al., 2004;
Pei et al., 2016;  Schauer et al., 2002;  Zhao et
al., 2007).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Backward trajectory clustering analysis</title>
      <p id="d1e3587">The best solution of four clusters was determined based on the variation in
the total spatial variance (Figs. 6 and S2). Figure 7 shows the four cluster
solutions and the mean distribution of meteorological conditions and
pollutants in each cluster. Briefly, cluster 1 (CL#1), which
represents 15.4 % of the sample, comes from the northwest continental
region of China and reaches Changzhou before passing Gansu, Shan'xi and
Henan provinces, and the lower temperature and humidity associated with this
cluster are consistent with its geographic origin. Cluster 2 (CL#2),
which accounts for 35.6 % of the total number of trajectories, represents
air masses from the northeastern part of the ocean, and the temperature and
humidity associated with this cluster are higher than those of CL#1.
Cluster 3 (CL#3), contributing 18.6 % and traveling slowly from inland
area, is associated with the lowest wind speed, with higher temperature and
humidity than CL#1 but lower than CL#2. Cluster 4 (CL#4),
representing 30.3 % of the trajectories, represents the
eastern and southeastern oceanic air masses, with the highest observed
temperature, humidity and wind speed among all of the air masses. CL#2
and CL#4 have relatively high temperature, humidity and wind speed.
CL#3 is associated with the highest NO<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations, confirming
its local air mass origin, and the PM<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and OC concentrations in this
air mass are also the highest compared to all the other air masses.</p>
      <p id="d1e3608">The concentrations of sFAs and uFAs and their oxidation products in each
cluster are shown in Fig. 6. The total concentrations of the oxidative decomposition products  of sFAs, uFAs and ODPs
(oxidative decomposition products; in this study, ODPs include azelaic
acid, nonanoic acid and 9-oxononanoic acid) within the four types of air
mass clusters were in the following order: CL#3<inline-formula><mml:math id="M245" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula>CL#2<inline-formula><mml:math id="M246" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula>CL#4<inline-formula><mml:math id="M247" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula>CL#1, where the TFAs in CL#1 and CL#3 were
larger than the percentages in CL#2 and CL#4. The relative contents of
sFAs and uFAs in CL#1 and CL#3 are closer than those in the other two
types of air masses and are closer to the concentration ratio of the
species directly emitted from the cooking source (the values of uFAs <inline-formula><mml:math id="M248" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sFAs
range from 0.8 to 3.2) (He et al., 2004;  Pei et
al., 2016; Schauer et al., 2002;  Zhao et al.,
2007), which indicated that the oxidative decomposition of uFAs is less in
CL#1 and CL#3. CL#3 was a slowly moving, local cluster. Under this
air mass clustering, local emissions contribute significantly to fatty acids,
as well as PM<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration. The air mass of CL#1 exhibits the
longest range, the concentrations of ODPs were relatively small among all
air masses, and the low ODP concentration was inconsistent with other
literature findings of more aging aerosol production from long-range
transport (Wang et al., 2020). The lowest PM<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration and cleaner air masses during air mass CL#1 suggested that
long-range air mass transport from the northwest was not the main source of
fatty acids<?pagebreak page3073?> and ODPs in Changzhou during the observation. The value of the uFAs <inline-formula><mml:math id="M251" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sFAs ratio in CL#2 and CL#4 was less than that in CL#1 and CL#3 and
less than the ratio in the emission sources. In addition, the proportion of ODPs in
CL#2 and CL#4 is greater than that in CL#1 and CL#3. This result
may be explained by the following two reasons: first, under the influence of
transport, the air masses brought more sFAs and ODPs, and the air masses were
more aged; for example, marine heterotrophic bacteria releases sFAs and uFAs
into the water column. However, the mono- and polyunsaturated fatty acids (e.g.,
oleic acid, linoleic acid) in seawater rapidly oxidize to form initially
oxocarboxylic acids, azelaic acid, etc. (Bikkin et al.,
2019). Second, under the influence of CL#2 and CL#4 air masses, in
which the ozone concentration was higher than other air masses, the
decomposition reaction of uFAs was more active and could produce more ODPs.
In addition, the oxidative reaction of uFAs could be influenced by
meteorological conditions as well.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3667">Sources for each air mass during the sampling period. The colored
lines in the map show the contribution of each directional air mass source
to the total trajectory as resolved by the TrajStat model.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e3679">Box plots of meteorological parameters and pollutant
concentrations in each cluster (squares and solid lines correspond to the
mean and median, respectively; boxes indicate the 25th and 75th
percentiles, and  whiskers are the 5th and 95th percentiles).</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Atmospheric aging of unsaturated fatty acids</title>
      <p id="d1e3696">Figure 8a shows the diurnal variation in ozone, oleic acid and ODPs. The
ozone concentration started to rise in the morning (06:00) and peaked in the
late afternoon (14:00). The diurnal trend of oleic acid was opposite to that
of ozone. The diurnal trend of ODPs was also different from oleic acid, and the
small peak of ODPs was found at around 12:00 in the daytime, which was
earlier than that of ozone. At the same time, oxidative decomposition,
atmospheric dilution and lower emissions caused a significant decrease in the
concentration of oleic acid until night when large amounts of fresh
emissions enter the atmosphere again. The decreasing rate of oleic acid
concentration slowed down around noon probably because of fresh emissions
(e.g., cooking sources) at lunchtime. C<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M253" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>-oxo acid and diacids
(e.g., nonanoic acid, 9-oxononanoic acid and azelaic acid) in the
atmospheric environment originate from plant volatilization, combustion
emissions and cooking processes (Kawamura et al., 2013;
Tian et al., 2020), and they were established in chamber
studies as major atmospheric oxidation products from uFAs ozonolysis
(Kawamura et al., 2013; Moise and Rudich, 2002;
Thornberry and Abbatt, 2004). The diurnal variations in
nonanoic acid and 9-oxononanoic acid were similar, and both peaked around
noon, while 9-oxononanoic acid and azelaic acid are in
competition (Thornberry and Abbatt, 2004). However, the concentration of 9-oxononanoic acid was significantly higher
than that of nonanoic acid (Fig. 8c and d), which may be due to the
following reasons: (1) 9-oxononanoic acid can be produced by two pathways,
while nonanoic acid generation can only be produced through one of the
pathways competing with nonanal, and the molarity generated from the
ozonolysis of oleic acid is smaller than that of 9-oxononanoic acid
(Gross et al., 2009); (2) due to the high
volatility of nonanoic acid, its concentration in the particle phase is much
lower, and only a small portion of nonanoic acid in PM is detected by TAG
(Wang and Yu, 2021).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e3717">Diurnal variation in C<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> products and oleic acid in environmental
samples compared to O<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> <bold>(a)</bold> and  correlation of C<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> products –  azelaic acid <bold>(b)</bold>, 9-oxononanoic acid <bold>(c)</bold> and nonanoic acid <bold>(d)</bold> – with oleic acid.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f08.png"/>

        </fig>

      <?pagebreak page3075?><p id="d1e3766">Figure 8b to d show the relationship between the ratios of ODPs / stearic acid and
oleic acid <inline-formula><mml:math id="M257" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid. In CL#2 and CL#4, the 9-oxononanoic acid <inline-formula><mml:math id="M258" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid ratio is larger than that in CL#1 and CL#3, and the azelaic
acid <inline-formula><mml:math id="M259" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid ratio has the same characteristic. The nonanoic acid <inline-formula><mml:math id="M260" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid ratio is not well characterized probably because most of the
nonanoic acid is present in the gas phase. Bikkina et al. (2019) found that the <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula> ratio exhibited a nonlinear (power) inverse
relationship with azelaic acid in remote marine aerosols. This feature was
not found in this study, which is possibly due to the single source class of
fatty acids and ODPs in remote marine areas, the diversity of emission
sources in urban areas, and their vulnerability to transport.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Oxidative decomposition of uFAs</title>
      <p id="d1e3817">From the above analysis, cooking emissions were the most important source of
fatty acids in atmospheric PM<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in urban areas of Changzhou,
especially during the dinner period. Both sFAs and uFAs peaked between 18:00
and 22:00 and then declined until breakfast time on the next day. Fatty-acid-like substances in fresh cooking emissions react with various oxidants
while being continuously replenished by the fresh cooking emission during
the day, so the degradation of uFAs in the particulate phase can be
complicated. With no obvious fresh cooking emissions after dinner and the
low volatility of the target pollutants studied (oleic and linoleic acids),
the effect of gas–particle partitioning on them can be disregarded, and the
evening provides a good opportunity to investigate the chemical degradation
of uFAs from cooking emissions. Therefore, we selected the period from 18:00
in the evening to 06:00 in the morning, focusing on the impact of oxidants in
the atmospheric environment on uFAs. The definition of the effective rate
constant <inline-formula><mml:math id="M263" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> has been described in previous studies (Donahue et
al., 2005;  Wang and Yu, 2021). To calculate the rate constant
of uFAs with oxidants (especially O<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, etc.), a one-step model was utilized, and an average decay rate constant for
each night could be derived. The same method has been used in the study of
Wang and Yu (2021), which shows that more than 77 % of the
observed data fit better with a one-step model. Figures S5 and S6 show the
nighttime oxidative degradation of oleic acid and linoleic acid,
respectively. It should be noted that not all of the reactants (uFAs) will
be fully consumed from the start of the fit until fresh emissions enter the
atmosphere, and the amount of consumed and remaining uFAs could be affected
by a combination of oxidant level, source activity and meteorological
conditions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e3859">Correlations of the estimated effective decay rate constant with
average nighttime atmospheric oxidant concentrations for oleic acid <bold>(a)</bold> and
linoleic acid <bold>(b)</bold> (the <inline-formula><mml:math id="M266" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value indicates the parameter of the <inline-formula><mml:math id="M267" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> test of the
regression equation in the regression model).</p></caption>
          <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f09.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e3890">Scatterplot of the estimated effective rate constant for
linoleic acid versus oleic acid (the <inline-formula><mml:math id="M268" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value indicates the parameter of the
<inline-formula><mml:math id="M269" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> test of the regression equation in the regression model).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f10.png"/>

        </fig>

      <p id="d1e3914">Figure 9 shows the effective rate constants of the oxidative decomposition of
oleic (<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and linoleic (<inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) acids in relation to air oxidants
(O<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, etc. O<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> is the
total oxidant, calculated from O<inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> O<inline-formula><mml:math id="M279" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>). It should
be noted that the NO<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, calculated by multiplying O<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> by
NO<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, is a substitution for the NO<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> radical, which is not
available in this campaign. Both <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> had a significant
positive correlation (the <inline-formula><mml:math id="M286" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values of significance tests were all less than
0.05) with O<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and no correlation was observed with other air oxidants
(O<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>). Ozone acted as the predominant
oxidant for the oxidative decomposition of uFAs, which was consistent with
the conclusion in Shanghai. In addition to the oxidants mentioned above,
laboratory studies have also reported N<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> reacts with olefinic
acids<?pagebreak page3076?> containing C<inline-formula><mml:math id="M293" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>C bonds such as oleic acid and linoleic acid, which has
a much slower reaction kinetics than that of NO<inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
(Gross et al., 2009). Therefore, the effect of
N<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> was ignored in this study.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e4191">Comparison of individual factor contributions to PM<inline-formula><mml:math id="M297" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> <bold>(a)</bold>
and OC <bold>(b)</bold>; diurnal variation in cooking sources <bold>(c)</bold>.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3065/2023/acp-23-3065-2023-f11.png"/>

        </fig>

      <?pagebreak page3077?><p id="d1e4218">Figure 10 shows the scatter plot of the effective rate constants of oleic and
linoleic acid. The significant correlation between the effective rate
constants of oleic acid and linoleic acid was not equal to 1 due to the
differences in aerosol composition and environmental conditions. The
effective rate constant of oleic acid ranged from 0.08–0.57 h<inline-formula><mml:math id="M298" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which
was overall smaller than <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (0.16–0.80 h<inline-formula><mml:math id="M300" 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>), indicating that their
reactivity is closely related to their chemical structure, and the two C<inline-formula><mml:math id="M301" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>C bonds in the linoleic acid have a higher probability of reacting with
atmospheric oxidants. However, besides the chemical structure, other factors
(e.g., diffusion and temperature) also affect the calculation of the oxidation
reaction rate of uFAs. The fitted ratio of <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is 1.29 (dashed red
line in Fig. 11), with most scatters falling in the area with <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values above the <inline-formula><mml:math id="M305" 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> ratio. <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> has a mean value of <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula>, and the relative reactivity of linoleic acid to oleic acid is below 2 in
the measured environmental data but close to the results of laboratory
studies with O<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> as oxidant. We also reviewed the <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratios of
O<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and N<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> as oxidants in other
laboratory studies, and the <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratios of the three oxidants were
1.7, 1.8 and 2.9 (Gross et al., 2009;  Thornberry
and Abbatt, 2004), respectively. The relative reaction coefficients
<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured for O<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in laboratory studies are close to our
results. The comparison indicates that O<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was the most likely oxidants
for the nighttime uFAs oxidation in the urban area of Changzhou.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><?xmltex \opttitle{Source contributions of cooking aerosol to PM${}_{{2.5}}$ and OC}?><title>Source contributions of cooking aerosol to PM<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and OC</title>
      <p id="d1e4486">To gain a more quantitative assessment of the source contribution from cooking
to OA, PMF was applied for source apportionment. The target POA markers were
incorporated into the input data matrix, along with secondary organic aerosol (SOA) markers (Table S1)
and major aerosol components including major ions, elements, EC and OC.
Source apportionment of PM<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in this field campaign yielded 10
sources, including three secondary sources (secondary sulfate, secondary
nitrate and SOAs) and seven primary emission sources (cooking,
biomass burning, coal combustion, vehicle exhaust, industrial emissions,
dust and fireworking). A detailed description of the
identification of each PMF-resolved source factor is shown in Sect. S1.
Briefly, secondary source factors account for the largest share of
PM<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (the total was 56.9 %, of which secondary nitrate contributes
up to 34.4 %), and primary emissions contributed 43.1 % of total
PM<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 11). Among the primary source factors, industry makes the
largest contribution to PM<inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentration (9.9 %).</p>
      <?pagebreak page3078?><p id="d1e4525">In a specific polluted period, different sources have different impacts on the
PM<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration and chemical composition in Changzhou. Among the
10 sources, the cooking factor was dominated by sFAs and uFAs during the
monitoring period, accounting for 4.6 % of the total PM<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. The
concentration of cooking sources and its contribution to total PM<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
also showed a clear diurnal variation, with two peaks at around 06:00 and
20:00, especially at dinnertime. The contribution of
cooking to PM<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration during mealtime increased significantly
compared with other periods, reaching 7.8 % at 20:00. The mean
concentration of cooking aerosol in the polluted period was estimated to be
4.0 <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M328" 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>, which was 5.3 times higher than that in the clean
period (0.75 <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M330" 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>). The variation was similar to that of fatty
acids. The factor profiles of the 10-factor constrained run of PMF are shown
in Sect. S1 and Fig. S5 in the Supplement, together with the time series of contributions
from individual source factors. Overall, we estimated that cooking accounted
for 5.8 % of the total PM<inline-formula><mml:math id="M331" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> during the polluted period, which was
1.9 times greater than that of 3.0 % during the clean period. During the
whole observation period, the cooking factor contributes only a small part
of PM<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (4.6 %), but it accounts for 8.1 % of the total OC,
indicating the importance of cooking emissions to organic matter, which is a
significant source of organic pollution in urban areas.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e4632">In this study, we measured uFAs, sFAs and ODPs every 2 h using TAG in
urban Changzhou. The concentration of TFAs averaged at 105.70 ng m<inline-formula><mml:math id="M333" 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>, close to that in Shanghai. The average concentration of TFAs in the
polluted period was 147.06 ng m<inline-formula><mml:math id="M334" 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>, which was 4.2 times higher than that
during the clean period. During the rising period of PM<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, the TFA
concentration tends to reach the peak earlier than PM<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, and the
proportion of TFAs in PM<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, as well as OC, will increase first and then
decrease. However, when affected by adverse diffusion, the TFA concentration
will accumulate continuously as PM<inline-formula><mml:math id="M338" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. The linoleic acid <inline-formula><mml:math id="M339" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid
and oleic acid <inline-formula><mml:math id="M340" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> stearic acid ratios exhibited a significant peak during
dinnertime, which was close to the cooking source profile values, and a
relatively smaller peak at lunchtime. Cooking sources during dinner hours
are the most important contributors to the concentration of fatty acids in
PM<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> during the study period. The diurnal trend of ODPs was different
from that of uFAs, and the concentration of ODPs increased significantly at
noon. The diurnal variations in nonanoic acid and 9-oxononanoic acid in ODPs
are similar mainly because oleic acid can produce both 9-oxononanoic acid
and nonanoic acid in the ozonolysis pathway.</p>
      <p id="d1e4719">Under the influence of different air masses, there were significant
variations in the ratios of various organic acids from cooking. The highest
total concentrations of sFAs, uFAs and ODPs were found under the local air
mass cluster (CL#3), indicating significant local emissions contributing fatty acids, as well as PM<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. The percentages of TFAs in CL#1
and CL#3 were larger than those in CL#2 and CL#4. The proportion of
ODPs in CL#2 and CL#4 was greater than that in CL#1 and CL#3.
This is mainly because under the influence of transportation the air masses
brought more sFAs and ODPs. The air masses were more aged, and the higher ozone
concentration and more active uFAs decomposition reaction occurred in these
two air mass clusters. The daily oxidative degradation kinetics of oleic and
linoleic acids were obtained using data during the nighttime on each
observation date. The <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ranged from 0.08 to 0.57 h<inline-formula><mml:math id="M344" 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 was
overall smaller than <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (0.16–0.80 h<inline-formula><mml:math id="M346" 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>). It was observed that both
<inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> had a significant positive correlation with O<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The
relative reaction coefficients <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula>) of linoleic
and oleic acids in this study are close to <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured for O<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
in laboratory studies, indicating that O<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was the main nighttime
oxidant for uFAs in Changzhou. Overall, this study describes the
concentration variation and oxidative degradation of uFAs and oxidation
products in ambient air based on hourly time-resolved observations, guiding
future refinement of source apportionment of PM<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and the development
of cooking emission control policies.</p>
      <p id="d1e4885">The average contribution of cooking to PM<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was estimated to be
4.6 %, while the average contribution to total OC was 8.1 %. However,
the proportion of cooking to total PM<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> among different sources during
the meal period increased significantly compared with other periods,
especially during the dinner period, peaking at 7.8 %. It is estimated
that cooking sources accounted for 5.8 % of the total PM<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> during the
polluted period, which was 1.9 times greater than the 3.0 % during the
clean period, showing that more attention should be paid to strict controls on cooking emissions during pollution episodes.</p>
</sec>

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

      <p id="d1e4920">All data used in this paper have been deposited in an open research repository, which is available at
<ext-link xlink:href="https://doi.org/10.17632/h67km6dnxn.1" ext-link-type="DOI">10.17632/h67km6dnxn.1</ext-link> (Li, 2023).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4926">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-23-3065-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-23-3065-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4935">RL, KZ, QL and LY conducted the field measurements. RL and KZ performed the
data analysis and prepared the manuscript with contributions from all
co-authors. LL formulated the research goals and edited and reviewed the
manuscript. LL and JZY reviewed and edited the manuscript. All authors
contributed to data interpretations and discussions.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4941">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e4947">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4953">This study is financially supported by the National Natural Science
Foundation of China (nos. 41875161, 42075144 and 42005112). We thank the
Changzhou Environmental Monitoring Center of Jiangsu Province for their help in
conducting the field campaign.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4958">This research has been supported by the National Natural Science Foundation of China (grant nos. 41875161, 42075144 and 42005112).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4964">This paper was edited by James Allan and reviewed by three anonymous referees.</p>
  </notes><ref-list>
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