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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" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-16-10793-2016</article-id><title-group><article-title>Impact of molecular structure on secondary organic aerosol formation from
aromatic hydrocarbon photooxidation under low-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions</article-title>
      </title-group><?xmltex \runningtitle{Impact of molecular structure on secondary organic aerosol formation}?><?xmltex \runningauthor{L.~Li et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Li</surname><given-names>Lijie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Tang</surname><given-names>Ping</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Nakao</surname><given-names>Shunsuke</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7764-618X</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Cocker III</surname><given-names>David R.</given-names></name>
          <email>dcocker@engr.ucr.edu</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>University of California, Riverside, Department of Chemical and Environmental Engineering, Riverside, CA 92507, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>College of Engineering – Center for Environmental Research and Technology (CE-CERT), Riverside, CA 92507, USA</institution>
        </aff>
        <aff id="aff3"><label>a</label><institution>currently at: Clarkson University, Department of Chemical and Biomolecular Engineering, Potsdam, NY 13699, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">David R. Cocker III (dcocker@engr.ucr.edu)</corresp></author-notes><pub-date><day>31</day><month>August</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>17</issue>
      <fpage>10793</fpage><lpage>10808</lpage>
      <history>
        <date date-type="received"><day>24</day><month>October</month><year>2015</year></date>
           <date date-type="rev-request"><day>15</day><month>January</month><year>2016</year></date>
           <date date-type="rev-recd"><day>13</day><month>July</month><year>2016</year></date>
           <date date-type="accepted"><day>28</day><month>July</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://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>
    <p>The molecular structure of volatile organic compounds determines their
oxidation pathway, directly impacting secondary organic aerosol (SOA)
formation. This study comprehensively investigates the impact of molecular
structure on SOA formation from the photooxidation of 12 different eight-
to nine-carbon aromatic hydrocarbons under low-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions. The
effects of the alkyl substitute number, location, carbon chain length and
branching structure on the photooxidation of aromatic hydrocarbons are
demonstrated by analyzing SOA yield, chemical composition and physical
properties. Aromatic hydrocarbons, categorized into five groups, show a yield
order of ortho (<inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene and <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene) &gt; one substitute
(ethylbenzene, propylbenzene and isopropylbenzene) &gt; meta
(<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene and <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-ethyltoluene) &gt; three substitute
(trimethylbenzenes) &gt; para (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene and <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-ethyltoluene). SOA
yields of aromatic hydrocarbon photooxidation do not monotonically decrease
when increasing alkyl substitute number. The ortho position promotes SOA
formation while the para position suppresses aromatic oxidation and SOA
formation. Observed SOA chemical composition and volatility confirm that
higher yield is associated with further oxidation. SOA chemical composition
also suggests that aromatic oxidation increases with increasing alkyl
substitute chain length and branching structure. Further, carbon dilution
conjecture developed by Li et al. (2016) is extended in this study to serve
as a standard method to determine the extent of oxidation of an alkyl-substituted aromatic hydrocarbon.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Organic aerosols are critical to human health (Dockery et al., 1993;
Krewski et al., 2003; Davidson et al., 2005), climate change (IPCC, 2007)
and visibility (Pöschl, 2005; Seinfeld and Pandis, 2006). Global
anthropogenic secondary organic aerosol (SOA) sources are underestimated by
current models (Henze et al., 2008; Matsui et al., 2009; Hallquist et
al., 2009; Farina et al., 2010) and are more likely to increase due to the
increase of known anthropogenic emissions (Heald et al., 2008). Therefore,
it is crucial to explore SOA formation mechanisms from anthropogenic
precursors.</p>
      <p>Aromatic hydrocarbons are
major anthropogenic SOA precursors (Kanakidou et al., 2005; Henze et al.,
2008; Derwent et al., 2010). C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> (ethylbenzene, xylenes) and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>
(ethyltoluenes and trimethylbenzenes) aromatics are important aromatic
hydrocarbons in the atmosphere besides toluene and benzene (Monod et al.,
2001; Millet et al., 2005; Heald et al., 2008; Kansal, 2009; Hu et al.,
2015). The major sources of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatic hydrocarbons are
fuel evaporation (Kaiser et al., 1992; Rubin et al., 2006; Miracolo et al.,
2012), tailpipe exhaust (Singh et al., 1985; Monod et al., 2001; Lough et
al., 2005; Na et al., 2005; Correa and Arbilla, 2006) and solvent use (Zhang
et al., 2013). C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> aromatic hydrocarbons (ethylbenzene and xylenes
(ortho, meta and para) are categorized as hazardous air pollutants under the
US Clean Air Act Amendments of 1990;
<uri>http://www.epa.gov/ttnatw01/orig189.html</uri>). Toluene and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>
aromatics dominate the anthropogenic SOA precursors and SOA yield from all
C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatics is currently predicted to be equal to that of toluene
(Bahreini et al., 2009). The chemical composition of aromatic SOA remains
poorly understood with less than 50 % of aromatic hydrocarbon
photooxidation products identified (Forstner et al., 1997; Fisseha et al.,
2004; Hamilton et al., 2005; Sato et al., 2007). Aromatic hydrocarbon
photooxidation mechanisms remain uncertain except for the initial step
(<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 90 % OH-addition reaction) (Calvert et al., 2002). Hence,
understanding the atmospheric reaction mechanisms of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>
aromatic hydrocarbons and properly quantifying their SOA formation potential
presents unique challenges due to the variety in their molecular structure
and the electron density of the aromatic ring.</p>
      <p>Volatile organic compound (VOC) structure impacts the gas-phase reaction
mechanism (Ziemman and Atkinson, 2012) and kinetic reaction rate (eg.
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; Atkinson, 1987), thereby influencing the resulting SOA properties and
mass yield. Molecular structure impacts on SOA formation from alkanes have
been previously studied (Lim and Ziemann, 2009; Ziemann, 2011; Lambe et al., 2012; Tkacik et al., 2012; Yee et al., 2013; Loza et al., 2014). It
is generally observed that SOA yield decreases from cyclic alkanes to linear
alkanes and to branched alkanes. The relative location of the methyl group
on the carbon chain also affects SOA yield (Tkacik et al., 2012). It is
further found that the SOA yield and structure relationship is influenced by
C<inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>C groups (Ziemann, 2011). Understanding the SOA yield and structure
relationship of aromatic compounds in a similar way is necessary due to the
atmospheric importance of aromatic hydrocarbons.</p>
      <p>Previously, aromatic studies categorized SOA yield solely based on substitute
number (Odum et al., 1997a, b). However, those chamber experiments were
conducted at high-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions, which are well above levels present in
the atmosphere. Song et al. (2005, 2007) found that initial
HC <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratios (HC being hydrocarbon)
significantly impact SOA yields during aromatic photooxidation with yields
increasing as NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels decreased. Ng et al. (2007) show there is no
significant yield difference between one-substitute (toluene) and
two-substitute (<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene) aromatics in the absence of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. The current
work focuses on molecular structure impact on SOA formation at more
atmospherically relevant NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and aerosol loadings. Li et al. (2016)
demonstrated the methyl-group-number impact on SOA formation under
low-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions. Also, aromatic compounds with para-position alkyl
groups have been observed to form less SOA under various NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions
than their isomers in previous studies. Izumi and Fukuyama (1990) found that
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene, <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-ethyltoluene and 1,2,4-trimethylbenzene have low SOA
formation potential under high-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions. Song et al. (2007)
observed that <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene has the smallest SOA yield among all xylenes in the
presence of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. The relative methyl position to -OH in dimethyl phenols
also impacts SOA yield in the absence of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (Nakao et al., 2011), while
Song et al. (2007) observed no significant SOA yield difference between
<inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene and <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene under NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-free conditions. Moreover, previous
studies mainly focused on the carbon number effect on SOA formation (Lim and
Ziemann, 2009; Li et al., 2016) and seldom addressed the substitute carbon
length impact on VOC oxidation and hence SOA formation. Different percentages
of similar compounds are found when the substitute carbon length on the
aromatic ring changes (Forstner et al., 1997; Huang et al., 2007, 2011). For
example, a lower percentage of 3-methyl-2,5-furanone is observed in toluene
than that of 3-ethyl-2,5-furanone in ethylbenzene (Forstner et al., 1997).
Further, the branching structure on the aromatic substitute might impact the
reaction pathway. It is possible that fragmentation is more favored on
branched substitute alkoxy radicals than <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>-alkane substituents similar to
alkanes (Atkinson and Arey, 2003).</p>
      <p>Few studies comprehensively consider the overall alkyl effect on SOA
formation from aromatic hydrocarbons, including the substitute number,
position, carbon chain length and branching structure, especially under low-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions. It is valuable to understand the relationship between
aromatic hydrocarbon molecular structures and SOA physical and chemical
characteristics. The effects of OH exposure (Lambe et al., 2012,
2015), mass loading (Shilling et al., 2009, <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene;
Pfaffenberger et al., 2013, <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene) and NO condition (Ng et al.,
2007; Eddingsaas et al., 2012, <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene) on SOA physical and
chemical characteristics are previously discussed. However, few studies
address the molecular structure effect of the precursor on SOA chemical
composition, especially under atmospherically relevant conditions. Sato et
al. (2012) show the chemical composition difference between ethylbenzene,
<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene, <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene, 1,2,4-trimethylbenzene and 1,3,5-trimethylbenzene
under high absolute NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions and hypothesize that ketones
prevent further oxidation during aromatic photooxidation compared with
aldehydes. The SOA products detected in Sato's study are mainly small
volatile compounds which are less likely to partition into the particle
phase (Chhabra et al., 2011). Therefore, the study of Sato et al. (2012)
indicates that further oxidation or oligomerization might contribute to SOA
formation during aromatic photooxidation. Less SOA characterization data on
propylbenzene and ethyltoluene compared with trimethylbenzene are available.
However, Bahreini et al. (2009) suggest that the sum of the propylbenzene
and ethyltoluene is on average a factor of 4–10 more abundant than
trimethylbenzene.</p>
      <p>This work examines 12 aromatic hydrocarbons, all of which are isomers
with eight or nine carbons, to investigate the impact of molecular structure
on SOA formation from aromatic hydrocarbon photooxidation under low NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (10–138 ppb). Here, we investigate the substitute number, substitute
position, alkyl carbon chain length and alkyl branching impacts on aromatic
hydrocarbon oxidation. The effects of molecular structure impact on SOA
yield, chemical composition (H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C, O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C, OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>57</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>71</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and physical properties (density and VFR) are
demonstrated. Alkyl substitute dilution conjecture is further developed from
methyl dilution theory (Li et al., 2016).</p>
</sec>
<sec id="Ch1.S2">
  <title>Method</title>
<sec id="Ch1.S2.SS1">
  <title>Environmental chamber</title>
      <p>The UC Riverside/CE-CERT indoor dual 90 m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> environmental chambers were
used in this study and are described in detail elsewhere (Carter et al.,
2005). Experiments were all conducted at dry conditions (RH &lt; 0.1 %), in the absence of inorganic seed aerosol and with temperature
controlled to 27 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Seeded experiments to minimize wall
effects have also been conducted in our chamber experiment with no
measurable difference observed between the seeded and non-seeded experiment.
Two movable top frames were slowly lowered during each experiment to
maintain a slight positive differential pressure (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.02<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>
H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) between the reactors and enclosure to minimize dilution and/or
contamination of the reactors. Additionally, 272 115 W Sylvania 350BL blacklights are used
as light sources for photooxidation.</p>
      <p>A known volume of high-purity liquid hydrocarbon precursors from Sigma-Aldrich (ethylbenzene, 99.8 %; n-propylbenzene, 99.8 %;
isopropylbenzene, analytical standard; <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene,
99 %; <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene, 99 %;<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene, 99 %;
<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-ethyltoluene, 99 %; <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene, 99 %; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-ethyltoluene, <inline-formula><mml:math display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 95 %; 1,2,3-trimethylbenzene, OEKANAL
analytical standard; 1,2,4-trimethylbenzene, 98 %; 1,3,5-trimethylbenzene, analytical standard) was injected through
a heated glass injection manifold system and flushed into the chamber with
pure N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. NO was introduced by flushing pure N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> through a
calibrated glass bulb filled to a predetermined partial pressure of pure NO.
All hydrocarbons and NO are injected and well mixed before lights are turned
on to start the experiment.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Particle and gas measurement</title>
      <p>Particle size distribution between 27 and 686 nm was monitored by dual
custom-built scanning mobility particle sizers (SMPS) (Cocker et al., 2001).
Particle effective density was measured with an aerosol particle mass
analyzer (APM-SMPS) system (Malloy et al., 2009). Particle volatility was
measured by a Dekati<sup>®</sup> thermodenuder volatility tandem
differential mobility analyzer (VTDMA) (Rader and McMurry, 1986) with a 17 s
heating zone residence time (Qi et al., 2010a). The heating zone was
controlled to 100 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in this study with volume fraction remaining
(VFR) calculated as <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">after</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">TD</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">before</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">TD</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p>Particle-phase chemical composition evolution was measured by a high-resolution time-of-flight aerosol mass spectrometer (HR-ToF-AMS; Aerodyne
Research Inc.) (Canagaratna et al., 2007; DeCarlo et al., 2006). The sample
was vaporized by a 600 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C oven under vacuum, followed by a 70 eV
electron impact ionization. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in this study is calculated as
the mass fraction of the organic signal at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula>. For example, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>57</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>71</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the ratios of the organic signal at
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44, 43, 57 and 71 to the total organic signal, respectively (Chhabra et
al., 2011; Duplissy et al., 2011). Elemental ratios for total organic mass,
oxygen to carbon (O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C) and hydrogen to carbon (H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C) were determined using
the elemental analysis technique (Aiken et al., 2007, 2008). Data were
analyzed with ToF-AMS analysis toolkit Squirrel 1.56D/Pika 1.15D version.
Evolution of SOA composition (Heald et al., 2010; Jimenez et al., 2009)
refers to SOA chemical composition changes with time. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> evolution and H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C evolution refer to the change of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with time and the change of H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C with
time, respectively.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Experiment conditions.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.98}[.98]?><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Precursor</oasis:entry>  
         <oasis:entry colname="col2">ID</oasis:entry>  
         <oasis:entry colname="col3">HC <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO</oasis:entry>  
         <oasis:entry colname="col4">NO</oasis:entry>  
         <oasis:entry colname="col5">HC</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HC</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>M</mml:mi><mml:mi>o</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">Yield</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">ppbC : ppb</oasis:entry>  
         <oasis:entry colname="col4">ppb</oasis:entry>  
         <oasis:entry colname="col5">ppb</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math 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="col7"><inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math 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="col8"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Ethylbenzene</oasis:entry>  
         <oasis:entry colname="col2">1142A</oasis:entry>  
         <oasis:entry colname="col3">17.0</oasis:entry>  
         <oasis:entry colname="col4">47.4</oasis:entry>  
         <oasis:entry colname="col5">101</oasis:entry>  
         <oasis:entry colname="col6">331</oasis:entry>  
         <oasis:entry colname="col7">22.0</oasis:entry>  
         <oasis:entry colname="col8">0.066</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1142B</oasis:entry>  
         <oasis:entry colname="col3">12.0</oasis:entry>  
         <oasis:entry colname="col4">66.6</oasis:entry>  
         <oasis:entry colname="col5">99.9</oasis:entry>  
         <oasis:entry colname="col6">341</oasis:entry>  
         <oasis:entry colname="col7">4.40</oasis:entry>  
         <oasis:entry colname="col8">0.013</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1146A</oasis:entry>  
         <oasis:entry colname="col3">35.6</oasis:entry>  
         <oasis:entry colname="col4">22.2</oasis:entry>  
         <oasis:entry colname="col5">99.0</oasis:entry>  
         <oasis:entry colname="col6">257</oasis:entry>  
         <oasis:entry colname="col7">36.0</oasis:entry>  
         <oasis:entry colname="col8">0.140</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1146B</oasis:entry>  
         <oasis:entry colname="col3">23.0</oasis:entry>  
         <oasis:entry colname="col4">34.8</oasis:entry>  
         <oasis:entry colname="col5">100</oasis:entry>  
         <oasis:entry colname="col6">331</oasis:entry>  
         <oasis:entry colname="col7">23.6</oasis:entry>  
         <oasis:entry colname="col8">0.071</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1147B</oasis:entry>  
         <oasis:entry colname="col3">74.9</oasis:entry>  
         <oasis:entry colname="col4">36.5</oasis:entry>  
         <oasis:entry colname="col5">342</oasis:entry>  
         <oasis:entry colname="col6">626</oasis:entry>  
         <oasis:entry colname="col7">88.1</oasis:entry>  
         <oasis:entry colname="col8">0.141</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2084A</oasis:entry>  
         <oasis:entry colname="col3">81.1</oasis:entry>  
         <oasis:entry colname="col4">23.9</oasis:entry>  
         <oasis:entry colname="col5">242</oasis:entry>  
         <oasis:entry colname="col6">374</oasis:entry>  
         <oasis:entry colname="col7">54.0</oasis:entry>  
         <oasis:entry colname="col8">0.145</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">2084B</oasis:entry>  
         <oasis:entry colname="col3">93.8</oasis:entry>  
         <oasis:entry colname="col4">20.3</oasis:entry>  
         <oasis:entry colname="col5">238</oasis:entry>  
         <oasis:entry colname="col6">266</oasis:entry>  
         <oasis:entry colname="col7">44.3</oasis:entry>  
         <oasis:entry colname="col8">0.167</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Propylbenzene</oasis:entry>  
         <oasis:entry colname="col2">1245A</oasis:entry>  
         <oasis:entry colname="col3">41.0</oasis:entry>  
         <oasis:entry colname="col4">22.1</oasis:entry>  
         <oasis:entry colname="col5">101</oasis:entry>  
         <oasis:entry colname="col6">231</oasis:entry>  
         <oasis:entry colname="col7">11.8</oasis:entry>  
         <oasis:entry colname="col8">0.051</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1246A</oasis:entry>  
         <oasis:entry colname="col3">26.8</oasis:entry>  
         <oasis:entry colname="col4">68.5</oasis:entry>  
         <oasis:entry colname="col5">204</oasis:entry>  
         <oasis:entry colname="col6">421</oasis:entry>  
         <oasis:entry colname="col7">22.9</oasis:entry>  
         <oasis:entry colname="col8">0.054</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Isopropylbenzene</oasis:entry>  
         <oasis:entry colname="col2">1247A</oasis:entry>  
         <oasis:entry colname="col3">40.3</oasis:entry>  
         <oasis:entry colname="col4">22.4</oasis:entry>  
         <oasis:entry colname="col5">100</oasis:entry>  
         <oasis:entry colname="col6">301</oasis:entry>  
         <oasis:entry colname="col7">33.2</oasis:entry>  
         <oasis:entry colname="col8">0.110</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1247B</oasis:entry>  
         <oasis:entry colname="col3">18.6</oasis:entry>  
         <oasis:entry colname="col4">48.1</oasis:entry>  
         <oasis:entry colname="col5">99.3</oasis:entry>  
         <oasis:entry colname="col6">300</oasis:entry>  
         <oasis:entry colname="col7">16.6</oasis:entry>  
         <oasis:entry colname="col8">0.055</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1253A</oasis:entry>  
         <oasis:entry colname="col3">31.9</oasis:entry>  
         <oasis:entry colname="col4">56.4</oasis:entry>  
         <oasis:entry colname="col5">200.</oasis:entry>  
         <oasis:entry colname="col6">538</oasis:entry>  
         <oasis:entry colname="col7">53.1</oasis:entry>  
         <oasis:entry colname="col8">0.099</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1253B<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">17.6</oasis:entry>  
         <oasis:entry colname="col4">100</oasis:entry>  
         <oasis:entry colname="col5">196</oasis:entry>  
         <oasis:entry colname="col6">526</oasis:entry>  
         <oasis:entry colname="col7">16.5</oasis:entry>  
         <oasis:entry colname="col8">0.031</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-Xylene</oasis:entry>  
         <oasis:entry colname="col2">1315A</oasis:entry>  
         <oasis:entry colname="col3">13.2</oasis:entry>  
         <oasis:entry colname="col4">49.8</oasis:entry>  
         <oasis:entry colname="col5">82.2</oasis:entry>  
         <oasis:entry colname="col6">324</oasis:entry>  
         <oasis:entry colname="col7">26.3</oasis:entry>  
         <oasis:entry colname="col8">0.081</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1315B</oasis:entry>  
         <oasis:entry colname="col3">28.8</oasis:entry>  
         <oasis:entry colname="col4">22.2</oasis:entry>  
         <oasis:entry colname="col5">80.0</oasis:entry>  
         <oasis:entry colname="col6">27</oasis:entry>  
         <oasis:entry colname="col7">25.4</oasis:entry>  
         <oasis:entry colname="col8">0.091</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1320A</oasis:entry>  
         <oasis:entry colname="col3">12.8</oasis:entry>  
         <oasis:entry colname="col4">50.0</oasis:entry>  
         <oasis:entry colname="col5">80.0</oasis:entry>  
         <oasis:entry colname="col6">335</oasis:entry>  
         <oasis:entry colname="col7">18.4</oasis:entry>  
         <oasis:entry colname="col8">0.055</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1321A</oasis:entry>  
         <oasis:entry colname="col3">31.0</oasis:entry>  
         <oasis:entry colname="col4">20.5</oasis:entry>  
         <oasis:entry colname="col5">79.2</oasis:entry>  
         <oasis:entry colname="col6">263</oasis:entry>  
         <oasis:entry colname="col7">16.2</oasis:entry>  
         <oasis:entry colname="col8">0.061</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1321B</oasis:entry>  
         <oasis:entry colname="col3">61.3</oasis:entry>  
         <oasis:entry colname="col4">10.4</oasis:entry>  
         <oasis:entry colname="col5">80.0</oasis:entry>  
         <oasis:entry colname="col6">226</oasis:entry>  
         <oasis:entry colname="col7">9.80</oasis:entry>  
         <oasis:entry colname="col8">0.044</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-Xylene</oasis:entry>  
         <oasis:entry colname="col2">1308A</oasis:entry>  
         <oasis:entry colname="col3">15.5</oasis:entry>  
         <oasis:entry colname="col4">55.6</oasis:entry>  
         <oasis:entry colname="col5">78.4</oasis:entry>  
         <oasis:entry colname="col6">279</oasis:entry>  
         <oasis:entry colname="col7">6.80</oasis:entry>  
         <oasis:entry colname="col8">0.024</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1308B</oasis:entry>  
         <oasis:entry colname="col3">171</oasis:entry>  
         <oasis:entry colname="col4">22.9</oasis:entry>  
         <oasis:entry colname="col5">78.8</oasis:entry>  
         <oasis:entry colname="col6">274</oasis:entry>  
         <oasis:entry colname="col7">11.3</oasis:entry>  
         <oasis:entry colname="col8">0.041</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-Ethyltoluene</oasis:entry>  
         <oasis:entry colname="col2">1151A</oasis:entry>  
         <oasis:entry colname="col3">17.9</oasis:entry>  
         <oasis:entry colname="col4">62.5</oasis:entry>  
         <oasis:entry colname="col5">84.8</oasis:entry>  
         <oasis:entry colname="col6">409</oasis:entry>  
         <oasis:entry colname="col7">8.30</oasis:entry>  
         <oasis:entry colname="col8">0.020</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1151B</oasis:entry>  
         <oasis:entry colname="col3">31.0</oasis:entry>  
         <oasis:entry colname="col4">32.3</oasis:entry>  
         <oasis:entry colname="col5">86.4</oasis:entry>  
         <oasis:entry colname="col6">415</oasis:entry>  
         <oasis:entry colname="col7">28.7</oasis:entry>  
         <oasis:entry colname="col8">0.069</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1199A</oasis:entry>  
         <oasis:entry colname="col3">8.8</oasis:entry>  
         <oasis:entry colname="col4">45.4</oasis:entry>  
         <oasis:entry colname="col5">100</oasis:entry>  
         <oasis:entry colname="col6">447</oasis:entry>  
         <oasis:entry colname="col7">72.0</oasis:entry>  
         <oasis:entry colname="col8">0.161</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1222B</oasis:entry>  
         <oasis:entry colname="col3">41.7</oasis:entry>  
         <oasis:entry colname="col4">69.4</oasis:entry>  
         <oasis:entry colname="col5">100</oasis:entry>  
         <oasis:entry colname="col6">484</oasis:entry>  
         <oasis:entry colname="col7">70.9</oasis:entry>  
         <oasis:entry colname="col8">0.146</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1226B</oasis:entry>  
         <oasis:entry colname="col3">11.3</oasis:entry>  
         <oasis:entry colname="col4">137.6</oasis:entry>  
         <oasis:entry colname="col5">201</oasis:entry>  
         <oasis:entry colname="col6">895</oasis:entry>  
         <oasis:entry colname="col7">138</oasis:entry>  
         <oasis:entry colname="col8">0.154</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1232A</oasis:entry>  
         <oasis:entry colname="col3">27.5</oasis:entry>  
         <oasis:entry colname="col4">122.0</oasis:entry>  
         <oasis:entry colname="col5">200</oasis:entry>  
         <oasis:entry colname="col6">901</oasis:entry>  
         <oasis:entry colname="col7">150</oasis:entry>  
         <oasis:entry colname="col8">0.167</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1232B</oasis:entry>  
         <oasis:entry colname="col3">33.1</oasis:entry>  
         <oasis:entry colname="col4">67.5</oasis:entry>  
         <oasis:entry colname="col5">194</oasis:entry>  
         <oasis:entry colname="col6">751</oasis:entry>  
         <oasis:entry colname="col7">117</oasis:entry>  
         <oasis:entry colname="col8">0.155</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1421A</oasis:entry>  
         <oasis:entry colname="col3">41.0</oasis:entry>  
         <oasis:entry colname="col4">22.1</oasis:entry>  
         <oasis:entry colname="col5">97.9</oasis:entry>  
         <oasis:entry colname="col6">409</oasis:entry>  
         <oasis:entry colname="col7">46.2</oasis:entry>  
         <oasis:entry colname="col8">0.112</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1421B</oasis:entry>  
         <oasis:entry colname="col3">18.0</oasis:entry>  
         <oasis:entry colname="col4">44.9</oasis:entry>  
         <oasis:entry colname="col5">98.7</oasis:entry>  
         <oasis:entry colname="col6">477</oasis:entry>  
         <oasis:entry colname="col7">54.6</oasis:entry>  
         <oasis:entry colname="col8">0.114</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-Ethyltoluene</oasis:entry>  
         <oasis:entry colname="col2">1179A</oasis:entry>  
         <oasis:entry colname="col3">16.3</oasis:entry>  
         <oasis:entry colname="col4">52.9</oasis:entry>  
         <oasis:entry colname="col5">91.7</oasis:entry>  
         <oasis:entry colname="col6">399</oasis:entry>  
         <oasis:entry colname="col7">86.5</oasis:entry>  
         <oasis:entry colname="col8">0.216</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1179B</oasis:entry>  
         <oasis:entry colname="col3">15.8</oasis:entry>  
         <oasis:entry colname="col4">52.9</oasis:entry>  
         <oasis:entry colname="col5">93.0</oasis:entry>  
         <oasis:entry colname="col6">415</oasis:entry>  
         <oasis:entry colname="col7">75.3</oasis:entry>  
         <oasis:entry colname="col8">0.181</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1202A</oasis:entry>  
         <oasis:entry colname="col3">18.5</oasis:entry>  
         <oasis:entry colname="col4">60.3</oasis:entry>  
         <oasis:entry colname="col5">99.7</oasis:entry>  
         <oasis:entry colname="col6">422</oasis:entry>  
         <oasis:entry colname="col7">69.9</oasis:entry>  
         <oasis:entry colname="col8">0.166</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1215A</oasis:entry>  
         <oasis:entry colname="col3">29.2</oasis:entry>  
         <oasis:entry colname="col4">107</oasis:entry>  
         <oasis:entry colname="col5">180</oasis:entry>  
         <oasis:entry colname="col6">637</oasis:entry>  
         <oasis:entry colname="col7">151</oasis:entry>  
         <oasis:entry colname="col8">0.237</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1413A</oasis:entry>  
         <oasis:entry colname="col3">12.2</oasis:entry>  
         <oasis:entry colname="col4">21.3</oasis:entry>  
         <oasis:entry colname="col5">100</oasis:entry>  
         <oasis:entry colname="col6">371</oasis:entry>  
         <oasis:entry colname="col7">64.5</oasis:entry>  
         <oasis:entry colname="col8">0.174</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1413B</oasis:entry>  
         <oasis:entry colname="col3">24.1</oasis:entry>  
         <oasis:entry colname="col4">45.8</oasis:entry>  
         <oasis:entry colname="col5">98.4</oasis:entry>  
         <oasis:entry colname="col6">455</oasis:entry>  
         <oasis:entry colname="col7">64.4</oasis:entry>  
         <oasis:entry colname="col8">0.141</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-Ethyltoluene</oasis:entry>  
         <oasis:entry colname="col2">1194A</oasis:entry>  
         <oasis:entry colname="col3">19.9</oasis:entry>  
         <oasis:entry colname="col4">90.7</oasis:entry>  
         <oasis:entry colname="col5">196</oasis:entry>  
         <oasis:entry colname="col6">741</oasis:entry>  
         <oasis:entry colname="col7">90.4</oasis:entry>  
         <oasis:entry colname="col8">0.122</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1194B</oasis:entry>  
         <oasis:entry colname="col3">13.0</oasis:entry>  
         <oasis:entry colname="col4">88.4</oasis:entry>  
         <oasis:entry colname="col5">200</oasis:entry>  
         <oasis:entry colname="col6">761</oasis:entry>  
         <oasis:entry colname="col7">73.0</oasis:entry>  
         <oasis:entry colname="col8">0.096</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1197A</oasis:entry>  
         <oasis:entry colname="col3">13.1</oasis:entry>  
         <oasis:entry colname="col4">56.4</oasis:entry>  
         <oasis:entry colname="col5">192</oasis:entry>  
         <oasis:entry colname="col6">653</oasis:entry>  
         <oasis:entry colname="col7">66.4</oasis:entry>  
         <oasis:entry colname="col8">0.102</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1197B</oasis:entry>  
         <oasis:entry colname="col3">14.8</oasis:entry>  
         <oasis:entry colname="col4">98.5</oasis:entry>  
         <oasis:entry colname="col5">192</oasis:entry>  
         <oasis:entry colname="col6">710</oasis:entry>  
         <oasis:entry colname="col7">58.4</oasis:entry>  
         <oasis:entry colname="col8">0.082</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1214B</oasis:entry>  
         <oasis:entry colname="col3">26.0</oasis:entry>  
         <oasis:entry colname="col4">53.4</oasis:entry>  
         <oasis:entry colname="col5">102</oasis:entry>  
         <oasis:entry colname="col6">418</oasis:entry>  
         <oasis:entry colname="col7">29.1</oasis:entry>  
         <oasis:entry colname="col8">0.069</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1601A</oasis:entry>  
         <oasis:entry colname="col3">39.9</oasis:entry>  
         <oasis:entry colname="col4">31.2</oasis:entry>  
         <oasis:entry colname="col5">109</oasis:entry>  
         <oasis:entry colname="col6">452</oasis:entry>  
         <oasis:entry colname="col7">17.6</oasis:entry>  
         <oasis:entry colname="col8">0.039</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1,2,3-Trimethylbenzene</oasis:entry>  
         <oasis:entry colname="col2">1158A</oasis:entry>  
         <oasis:entry colname="col3">19.8</oasis:entry>  
         <oasis:entry colname="col4">10.3</oasis:entry>  
         <oasis:entry colname="col5">79.9</oasis:entry>  
         <oasis:entry colname="col6">296</oasis:entry>  
         <oasis:entry colname="col7">22.2</oasis:entry>  
         <oasis:entry colname="col8">0.075</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1158B</oasis:entry>  
         <oasis:entry colname="col3">15.6</oasis:entry>  
         <oasis:entry colname="col4">22.4</oasis:entry>  
         <oasis:entry colname="col5">79.9</oasis:entry>  
         <oasis:entry colname="col6">379</oasis:entry>  
         <oasis:entry colname="col7">32.3</oasis:entry>  
         <oasis:entry colname="col8">0.085</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1162A</oasis:entry>  
         <oasis:entry colname="col3">15.8</oasis:entry>  
         <oasis:entry colname="col4">33.4</oasis:entry>  
         <oasis:entry colname="col5">80.1</oasis:entry>  
         <oasis:entry colname="col6">391</oasis:entry>  
         <oasis:entry colname="col7">46.5</oasis:entry>  
         <oasis:entry colname="col8">0.119</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1162B</oasis:entry>  
         <oasis:entry colname="col3">14.9</oasis:entry>  
         <oasis:entry colname="col4">40.0</oasis:entry>  
         <oasis:entry colname="col5">80.4</oasis:entry>  
         <oasis:entry colname="col6">399</oasis:entry>  
         <oasis:entry colname="col7">46.6</oasis:entry>  
         <oasis:entry colname="col8">0.117</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1,3,5-Trimethylbenzene</oasis:entry>  
         <oasis:entry colname="col2">1153A</oasis:entry>  
         <oasis:entry colname="col3">65.2</oasis:entry>  
         <oasis:entry colname="col4">11.0</oasis:entry>  
         <oasis:entry colname="col5">79.5</oasis:entry>  
         <oasis:entry colname="col6">309</oasis:entry>  
         <oasis:entry colname="col7">12.4</oasis:entry>  
         <oasis:entry colname="col8">0.040</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1153B</oasis:entry>  
         <oasis:entry colname="col3">35.3</oasis:entry>  
         <oasis:entry colname="col4">20.4</oasis:entry>  
         <oasis:entry colname="col5">80.0</oasis:entry>  
         <oasis:entry colname="col6">381</oasis:entry>  
         <oasis:entry colname="col7">19.6</oasis:entry>  
         <oasis:entry colname="col8">0.051</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1156A</oasis:entry>  
         <oasis:entry colname="col3">22.3</oasis:entry>  
         <oasis:entry colname="col4">32.3</oasis:entry>  
         <oasis:entry colname="col5">80.2</oasis:entry>  
         <oasis:entry colname="col6">379</oasis:entry>  
         <oasis:entry colname="col7">24.8</oasis:entry>  
         <oasis:entry colname="col8">0.065</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1156B</oasis:entry>  
         <oasis:entry colname="col3">15.5</oasis:entry>  
         <oasis:entry colname="col4">46.1</oasis:entry>  
         <oasis:entry colname="col5">79.6</oasis:entry>  
         <oasis:entry colname="col6">390</oasis:entry>  
         <oasis:entry colname="col7">19.0</oasis:entry>  
         <oasis:entry colname="col8">0.049</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">1329B</oasis:entry>  
         <oasis:entry colname="col3">11.1</oasis:entry>  
         <oasis:entry colname="col4">64.8</oasis:entry>  
         <oasis:entry colname="col5">80.0</oasis:entry>  
         <oasis:entry colname="col6">296</oasis:entry>  
         <oasis:entry colname="col7">3.00</oasis:entry>  
         <oasis:entry colname="col8">0.007</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.98}[.98]?><table-wrap-foot><p>Note: <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a wall-loss-and density-corrected particle mass concentration. <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Not used in
curve fitting.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

      <p>The Agilent 6890 gas chromatograph–flame ionization detector was used to
measure aromatic hydrocarbon concentrations. A Thermal Environmental
Instruments model 42C chemiluminescence NO analyzer was used to monitor NO,
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>–NO and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>. The gas-phase reaction model SAPRC-11 developed by
Carter and Heo (2013) was utilized to predict radical concentrations
(<inline-formula><mml:math display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula>OH, HO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo></mml:mrow></mml:math></inline-formula>, RO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>⋅</mml:mo></mml:mrow></mml:math></inline-formula>).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Result</title>
<sec id="Ch1.S3.SS1">
  <title>SOA yield</title>
      <p>Photooxidation of 12 C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatic hydrocarbons was
studied for low-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions (HC <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO ratio 11.1–171 ppbC : ppb). SOA
yields for all aromatic hydrocarbons were calculated according to Odum et al. (1996) as the mass ratio of aerosol formed to parent hydrocarbon
reacted. Experimental conditions and SOA yields are listed (Table 1) along
with additional <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene, <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene,<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene and 1,2,4-trimethylbenzene
experimental conditions from previous studies (Song et al., 2005, 2007; Li et al., 2016) (Table S2 in the Supplement).
The uncertainty associated with 10 replicate <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene and NO experiments SOA yield is &lt; 6.65 %. SOA
yield as a function of particle mass concentration (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), shown in Fig. 1, includes experiments listed in both Table 1 and Table S2. It is observed
that both alkyl substitute number and position affect SOA yield. The SOA
yield of two-substitute C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatic hydrocarbons depends
more on the substitute location than substitute length. This means that the
yield trend of <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene is analogous to that of <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene. Similarly, the
yield trends for meta- and para-position substituted C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>
aromatic hydrocarbons will be analogous to each other. Ortho isomers
(<inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene and <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene, marked as solid and hollow green circles,
respectively) have the highest SOA yield for similar aerosol concentrations
while para isomers (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene and <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-ethyltoluene, marked as solid and hallow
blue diamonds, respectively) have the lowest SOA yield level. Lower SOA
yields for para isomers are consistent with previous observation by Izumi and
Fukuyama (1990). Izumi and Fukuyama (1990) also suggest that 1,2,4-trimethylbenzene yields are lower than for other aromatic hydrocarbons.
The current study does not show a significant SOA yield difference between
1,2,4-trimethylbenzene and 1,3,5-trimethylbenzene. It is difficult to
compare 1,2,3-trimethylbenzene yields with the former two
trimethylbenzenes since 1,2,3-trimethylbenzene mass loading is much higher
than the former two.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Aromatic SOA yields as a function of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Note: Song et
al. (2005, 2007) and Li et al. (2016) data are also included; 123TMB is 1,2,3-Trimethylbenzene; 135TMB is 1,3,5-Trimethylbenzene; 124TMB is 1,2,4-Trimethylbenzene.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10793/2016/acp-16-10793-2016-f01.pdf"/>

        </fig>

      <p>Aromatic hydrocarbons having only one substitute (ethylbenzene,
n-propylbenzene and isopropylbenzene) or three substitutes
(1,2,3-trimethylbenzene, 1,2,4-trimethylbenzene and 1,3,5-trimethylbenzene)
tend to have yields similar to the meta-position two-alkyl aromatics. Odum et
al. (1997b) categorized SOA yield formation potential solely based on
substitute number and stated that aromatics with less than two methyl or
ethyl substitutes form more particulate matter than those with two or more
methyl or ethyl substitutes on the aromatic ring. However, Odum's work was
conducted for high-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions and had insufficient data to compare
isomer yield differences (e.g., only two low mass loadings for <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene
data). The strong low-yield (two or more substitutes) and high-yield (less
than two-methyl or ethyl substitutes) trends for high-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions
(Odum et al., 1997a, b) are not observed for low-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> aromatic
experiments in this study. Rather, high yield is observed only for benzene
(Li et al., 2016) while low yield is seen for substituted aromatic
hydrocarbons. Similar SOA yield trends from different C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>
aromatic isomers are further confirmed by comparing yields at similar radical
conditions (Table S4, Fig. S3). It is also found that molecular structure
exerts a greater impact on SOA yield than reaction kinetics (Supplement,
Table S5). A two-product model described by Odum et al. (1996) is used to fit
SOA yield curves as a function of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The 12 aromatics are categorized
into five groups to demonstrate the alkyl-group number and position effect on
SOA formation. The five groups include a one-substitute group, ortho-position
two-alkyl group (ortho), meta-position two-alkyl group (meta), para-position
two-alkyl group (para) and three-substitute group. Fitting parameters
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">om</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">om</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>;
Table 2) in the two-product model are determined by minimizing the sum of the
squared residuals. The lower-volatility partitioning parameter
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">om</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) is the same for all yield curve fits by assuming similar
high-volatile compounds are formed during all aromatic hydrocarbon
photooxidation experiments. The ortho group is associated with a much higher
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">om</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> compared with other aromatic groups, indicating that
aromatic hydrocarbon oxidation with an ortho-position substitute forms much
lower-volatility products than other isomers. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">om</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is also
slightly higher in the meta and one-substitute groups than in the
three-substitute and para-substitute groups.</p>
      <p>A slight SOA yield difference remains within each group (Fig. S2 and Table S3), indicating the influence of factors other than alkyl-group position.
Generally, lower yields are found in aromatics with alkyl groups of  higher carbon number
substitute, such as when comparing propylbenzene (<inline-formula><mml:math display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>- and <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>-)
with ethylbenzene or toluene (Li et al., 2016), <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-ethyltoluene with
<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene and <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-ethyltoluene with <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene, respectively. These differences are
explained by the proposed alkyl-group dilution effect (Sect. 4). However,
the differences between xylenes and their corresponding ethyltoluenes are
not statistically significant.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Two-product yield curve fitting parameters for one-, two- and three-alkyl substitutes (ortho, meta
and para).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Yield curve</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">om</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">om</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col6">MSRE<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">One substitutes</oasis:entry>  
         <oasis:entry colname="col2">0.144</oasis:entry>  
         <oasis:entry colname="col3">0.039</oasis:entry>  
         <oasis:entry colname="col4">0.137</oasis:entry>  
         <oasis:entry colname="col5">0.005</oasis:entry>  
         <oasis:entry colname="col6">5.38</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Two substitutes (ortho)</oasis:entry>  
         <oasis:entry colname="col2">0.158</oasis:entry>  
         <oasis:entry colname="col3">0.249</oasis:entry>  
         <oasis:entry colname="col4">0.024</oasis:entry>  
         <oasis:entry colname="col5">0.005</oasis:entry>  
         <oasis:entry colname="col6">2.03</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Two substitutes (meta)</oasis:entry>  
         <oasis:entry colname="col2">0.156</oasis:entry>  
         <oasis:entry colname="col3">0.040</oasis:entry>  
         <oasis:entry colname="col4">0.080</oasis:entry>  
         <oasis:entry colname="col5">0.005</oasis:entry>  
         <oasis:entry colname="col6">2.51</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Two substitutes (para)</oasis:entry>  
         <oasis:entry colname="col2">0.154</oasis:entry>  
         <oasis:entry colname="col3">0.025</oasis:entry>  
         <oasis:entry colname="col4">0.036</oasis:entry>  
         <oasis:entry colname="col5">0.005</oasis:entry>  
         <oasis:entry colname="col6">1.21</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Three substitutes</oasis:entry>  
         <oasis:entry colname="col2">0.180</oasis:entry>  
         <oasis:entry colname="col3">0.025</oasis:entry>  
         <oasis:entry colname="col4">0.052</oasis:entry>  
         <oasis:entry colname="col5">0.005</oasis:entry>  
         <oasis:entry colname="col6">0.84</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p>Note: <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> mean squared error (MSRE) <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> [(fitted
yield <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> measured yield) <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> measured yield]<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> (number of data
points).</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Chemical composition</title>
<sec id="Ch1.S3.SS2.SSS1">
  <?xmltex \opttitle{$f_{{44}}$ vs. $f_{{43+57+71}}$}?><title><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p>The ratio of alkyl substitute carbon number (H : C &gt; 1) to the
aromatic ring carbon number impacts SOA composition since the H : C ratio on
the alkyl substitute is larger than 1 and the H : C ratio on the aromatic ring
itself is no more than 1. <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 43 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and
C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) combined with <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44 (CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) is critical to
characterize oxygenated compounds in organic aerosol (Ng et al., 2010, 2011). C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> is the major contributor to <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 43 in SOA
formed from aromatic hydrocarbons, having only methyl substitute (Li et al.,
2016), while C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> fragments are observed in this work for
SOA from propylbenzene and isopropylbenzene (Fig. S5, Table S6). The
C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> carbon number of the alkyl substitute)
fragment in SOA corresponds to a C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>- alkyl substitute to the
aromatic ring. C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 57) and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 71)
are important when investigating SOA from ethyl- or propyl-substitute
aromatic precursors. While <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 57 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">9</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 71
(C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn>11</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) are often considered as markers for hydrocarbon-like
organic aerosol in ambient studies (Zhang et al., 2005; Ng et al., 2010),
oxygenated organic aerosol C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>
are the major fragments at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 57 and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 71, respectively (Fig. S5, Table S6) in current chamber SOA studies, especially during the photooxidation of
ethyl- and propyl-substituted aromatics. Therefore, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 57 and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 71 are
also considered beside C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 43 in SOA chamber
studies as oxygenated organic aerosol to compare the oxidation of different aromatic hydrocarbons.
Fig. S5 lists all fragments found at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 43, 44, 57 and 71 and Fig. S6 shows
the fraction of each <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> in SOA formed from all aromatic hydrocarbons studied.
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mn>44</mml:mn><mml:mo>+</mml:mo><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mn>71</mml:mn></mml:mrow></mml:math></inline-formula> accounts for 21.2–29.5 % of
the total mass fragments from all C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatics studied,
suggesting similar oxidation pathways. Only a small fraction (&lt; <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.7 %) of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 71 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>) or <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 57
(C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>) was observed in ethyltoluenes and trimethylbenzenes,
respectively.</p>
      <p>This work extends the traditional <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>) chemical composition analysis by including oxidized
fragments (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 57 and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 71) of
the longer (non-methyl) alkyl substitutes. Therefore, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>43</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>57</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>71</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is plotted instead of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Figure S4
shows the evolution of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in SOA formed from the photooxidation of different aromatic hydrocarbons
at low-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ranges are
comparable to previous chamber studies (Ng et al., 2010; Chhabra et al.,
2011; Loza et al., 2012; Sato et al., 2012). Only slight <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> evolution during chamber photooxidation is observed for the
C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> isomers; hence only the average <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> will be analyzed in this work .</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mn>44</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in SOA formed from different aromatic
hydrocarbon photooxidation under low-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> colored by aromatic isomer type
and marked with individual aromatic hydrocarbon species: ethylbenzene 2084A;
propylbenzene 1245A; isopropylbenzene 1247A; <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene 1191A;
<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-ethyltoluene 1199A; <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene 1320A; <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene 1179A; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene
1308A; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-ethyltoluene 1194A; 1,2,3-trimethylbenzene (123TMB)
1162A; 1,2,4-trimethylbenzene (124TMB) 1119A; 1,3,5-trimethylbenzene
(135TMB) 1156A. Alkyl number trend is the linear fitting in (Li et al.,
2015). <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> Error bar stands for <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mn>44</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> standard
deviation when significant particles are formed
(&gt; 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math 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>).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10793/2016/acp-16-10793-2016-f02.pdf"/>

          </fig>

      <p>A modification is applied to the mass-based <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> fraction in order to compare
the mole relationship between <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44 and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mn>71</mml:mn></mml:mrow></mml:math></inline-formula> (Eq. 1).
              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:msup><mml:mi>f</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn>44</mml:mn><mml:mn>43</mml:mn></mml:mfrac></mml:mstyle><mml:msub><mml:mi>f</mml:mi><mml:mn>43</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn>44</mml:mn><mml:mn>57</mml:mn></mml:mfrac></mml:mstyle><mml:msub><mml:mi>f</mml:mi><mml:mn>57</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn>44</mml:mn><mml:mn>71</mml:mn></mml:mfrac></mml:mstyle><mml:msub><mml:mi>f</mml:mi><mml:mn>71</mml:mn></mml:msub></mml:mrow></mml:math></disp-formula>
            The average <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> for all C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> isomers
(Fig. 2) are located around the trend line for methyl-group-substituted
aromatic hydrocarbons (Li et al., 2016), implying a similarity in the SOA
components formed from alkyl-substituted aromatic hydrocarbons. A decreasing
trend in oxidation from upper left to lower right is included in Fig. 2,
similar to what Ng et al. (2011) found in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> graph,
especially while comparing similar structure compounds. The methyl-group
location on the aromatic ring impacts <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> : <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.
Decreasing <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and increasing <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> trends are observed from
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene to <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene to <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene and from 1,2,4-trimethylbenzene to
1,2,3-trimethylbenzene to 1,3,5-trimethylbenzene. <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> may
partially depend on the relative position between the alkyl substitute and
the peroxide oxygen of the bicyclic peroxide. For instance, allylically
stabilized five-membered bicyclic radicals are the most stable bicyclic
radical formed from aromatic hydrocarbon photooxidation (Andino et al.,
1996). Two meta-position substitutes connected to the aromatic ring carbon
with -C-O- yield higher fractions of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> fragments than
the para and ortho position, which have at most one substitute connected with
-C-O- (Fig. S7). CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is generally formed during MS electrical
ionization from carbonates, cyclic anhydrides and lactones (McLafferty and
Turecek, 1993), indicating that the CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is associated with -O-C-O-
structure. Within the AMS, the CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is also
associated with decarboxylation of organic acids during heating followed by
electrical ionization of the CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. We hypothesize that CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
formation from bicyclic peroxides is insignificant since CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss is not
expected come from -C-O-O- structure during thermal decomposition. Therefore,
it is the reaction products of bicyclic peroxides that lead to the formation
of CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and the difference in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. This indicates that the alkyl
groups are more likely to contribute to SOA formation at the meta position
than the ortho and para positions. Bicyclic peroxides formed from the
OH-addition reaction pathway and their dissociation reaction products are
both used to explain the substitute location impact on the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> relationship. However, the existence of longer alkyl
substitutes diminishes the alkyl substitute location impact. SOA <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in ethyltoluenes are all analogous to <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene.
One-substitute C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatic hydrocarbons have similar
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> with slightly lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
compared to toluene (Li et al., 2016). Longer alkyl substitutes may not lower
the average oxidation per mass as further oxidation of the longer-chain
alkyls may render other oxidized components not included in Fig. 2. Their
lower total <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Fig. S6) further supports the possibility
of oxidation of the longer alkyl substitutes. It is also possible that
oligomerization from highly oxidized carbonyls contributes more to the SOA
formation from aromatics with long-chain alkyl substitute. Elemental ratio
(Sect. 3.2.2) and oxidation state (Sect. 3.2.3) are further used to evaluate
the impact of increasing alkyl-group size on SOA formation.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <?xmltex \opttitle{H\,$/$\,C vs. O\,$/$\,C}?><title>H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C vs. O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C</title>
      <p>Elemental analysis (Aiken et al., 2007, 2008) serves as a valuable tool to
elucidate SOA chemical composition and SOA formation mechanisms (Heald et al., 2010; Chhabra et al., 2011). Figure S8 shows H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C evolution in
SOA formed from the photooxidation of different aromatic hydrocarbons under
low NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (marked and colored similarly to Fig. S4). H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C ranges
are comparable to previous chamber studies (Chhabra et al., 2011,
<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene and toluene; Loza et al., 2012, <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene; Sato et al., 2012,
benzene and 1,3,5-trimethylbenzene). The SOA elemental ratio for C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>
and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatic isomers are located near the alkyl number trend line
found by Li et al. (2016) for methyl substituents, indicating a similarity
between SOA from various alkyl-substituted hydrocarbons. SOA formed is among
the low-volatility oxygenated organic aerosol (LV-OOA) and semi-volatile
oxygenated organic aerosol (SV-OOA) regions (Ng et al., 2011). The
evolution trend agrees with Fig. S4 (Sect. 3.2.1), which means no
significant H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C evolution is observed in the current study.
Therefore, average H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C with standard deviation provided is used to
explore the impact of molecular structure on SOA chemical composition. The
current study concentrates on experimentally averaged H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C to explore
the impact of molecular structure on SOA chemical composition.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C vs. O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C in SOA formed from different aromatic
hydrocarbon photooxidation under low NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, colored by aromatic isomer type
and marked with individual aromatic hydrocarbon species (C8 and C9 on the
lower left indicate the location of initial aromatic hydrocarbon precursor):
ethylbenzene 2084A; propylbenzene 1245A; isopropylbenzene 1247A; <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene
1191A; <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-ethyltoluene 1199A; <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene 1320A; <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene 1179A;
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene 1308A; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-ethyltoluene 1194A; 1,2,3-trimethylbenzene (123TMB)
1162A; 1,2,4-trimethylbenzene(124TMB) 1119A; 1,3,5-trimethylbenzene(135TMB) 1156A. Alkyl number trend is the linear fitting in
Li et al. (2015a). Solid black circles are SOA elemental ratios from C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>
and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatic hydrocarbon predicted by SOA elemental ratio formed from
benzene. <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> Error bar stands for H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C standard
deviation when significant particles are formed
(&gt; 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math 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>).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10793/2016/acp-16-10793-2016-f03.pdf"/>

          </fig>

      <p>Average H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C locations are marked with aromatic compound names in
Fig. 3. All H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C are located around the predicted values for C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>
and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> SOA (dark solid circle) based on the elemental ratio of
benzene SOA (Li et al., 2016). This confirms the presence of a carbon
dilution effect in all isomers. Ortho-position aromatic hydrocarbons
(<inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene or <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene) lead to a more oxidized SOA (higher O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and lower
H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C) than that of meta (<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene or <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-ethyltoluene) and para (<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene or
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-ethyltoluene) aromatics. SOA formed from 1,2,4-trimethylbenzene and 1,2,3-trimethylbenzene is more oxidized than that from 1,3,5-trimethylbenzene.
It is noticed that 1,2,4-trimethylbenzene and 1,2,3-trimethylbenzene
both contain an ortho-position moiety on the aromatic ring. This indicates
that the ortho-position aromatic hydrocarbon is readily oxidized and this
ortho-position impact on oxidation extends to triple-substituted aromatic
hydrocarbons. Substitute length also plays an important role in aromatic
hydrocarbon oxidation. Overall, SOA from a one-substitute aromatic with more
carbon in the substitute is located at a more oxidized area of the O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C vs.
H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C chart (lower right in Fig. 3) than those multiple-substitute aromatic
isomers with the same total number of carbon as the single-substituted
aromatic. SOA from isopropylbenzene is located in a lower position of the
chart and to the right of propylbenzene, indicating that branch carbon
structure on the alkyl substitute of aromatic hydrocarbons leads to a more
oxidized SOA. Lines in Fig. S8 connect the O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C of resulting SOA to
that of the aromatic precursor. Most SOA components show a slight H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C
increase and a dramatic O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C increase from the precursor, which is consistent
with results observed for methyl-substituted aromatics (Li et al., 2016).
However, H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C barely increases (1.33 to 1.34) from the propylbenzene
precursor to its resulting SOA and there is even a decreasing trend from
isopropylbenzene to its SOA. This indicates that a high H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C component loss
reaction such as alkyl-part dissociation during photooxidation is an
important reaction to SOA formation from
aromatic hydrocarbons containing longer carbon chains. The carbon chain length of propylbenzene increases
the possibility of alkyl fragmentation. The branching structure of
isopropylbenzene facilitates fragmentation through the stability of tertiary
alkyl radicals. Elemental ratio differences between xylenes and
ethyltoluenes can be attributed to the alkyl dilution effect, similar to the
methyl dilution theory by Li et al. (2016). Prediction of elemental ratios
from toluene and xylenes is discussed later (Sect. 4) to further quantify
the carbon length and branching effect on SOA formation from aromatic
hydrocarbons.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <?xmltex \opttitle{OS${}_{\mathrm{c}}$}?><title>OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula></title>
      <p>Oxidation state (OS<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>≈</mml:mo></mml:mrow></mml:math></inline-formula> 2O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C-H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C) was
introduced into aerosol-phase component analysis by Kroll et al. (2011). It
is considered to be a more accurate metric for describing oxidation in
atmospheric organic aerosol than H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C (Ng et al., 2011;
Canagaratna et al., 2015; Lambe et al., 2015) and therefore well correlated
with gas–particle partitioning (Aumont et al., 2012;). Average
OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> of SOA formed from C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatic isomers
ranges from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.54 to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.17 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.82 to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.22, respectively (Fig. 4),
implying that the precursor molecular structure impacts the OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula>
of the resulting SOA. An OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> decrease with alkyl substitute
length is observed in one-substitute aromatic hydrocarbons from toluene
(toluene OS<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>0.049</mml:mn></mml:mrow></mml:math></inline-formula>; Li et al. 2016) to propylbenzene. However,
OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> provides the average oxidation value per carbon without
considering whether these carbons start from an aromatic ring carbon or an
alkyl carbon. Alkyl carbons are associated with more hydrogen than aromatic
ring carbons, thus leading to a lower precursor OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> and therefore
lower SOA OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula>. Dilution conjecture in Sect. 4 will be used to
further explore the carbon chain length effect on aromatic hydrocarbon
oxidation by considering the precursor H : C ratio. Single-substitute
aromatic hydrocarbons generally show higher OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> than
multiple-substitute ones, consistent with the yield trend of Odum et
al. (1997b). However, it is also found that ortho-position moiety containing
two- or three-substitute aromatic hydrocarbons have analogous or even higher
OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> to single-substitute aromatic hydrocarbons (<inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.098 to ethylbenzene <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.173 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.033;
1,2,4-trimethylbenzene <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.425 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.072 and <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.481 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.030 to propylbenzene <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.421 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.111). This
suggests that both substitute number and position are critical to aromatic
hydrocarbon oxidation and therefore SOA formation. OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> trends
also support that the meta position suppresses oxidation while the ortho
position promotes oxidation when the OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> of xylenes (<inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene
&gt; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene &gt; (insignificant) <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene),
ethyltoluenes (<inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene &gt; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-ethyltoluene
&gt; (insignificant) <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-ethyltoluene) and especially
trimethylbenzenes (1,2,4-trimethylbenzene (ortho moiety containing)
&gt; (insignificant) 1,2,3-trimethylbenzene (ortho moiety containing)
&gt; 1,3,5-trimethylbenzene (meta moiety containing)) are compared
separately. Further, SOA formed from isopropylbenzene shows the highest
OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> among all C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> isomers, nearly equivalent to that of
ethylbenzene. This demonstrates that the branching structure of the alkyl
substitute can enhance further oxidation of aromatic hydrocarbons.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Oxidation state (OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula>) of SOA formed from different
aromatic hydrocarbon photooxidation under low NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>: ethylbenzene 2084A;
propylbenzene 1245A; isopropylbenzene 1247A; <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene 1191A;
<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-ethyltoluene 1199A; <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene 1320A; <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene 1179A; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-xylene
1308A; <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-ethyltoluene 1194A; 1,2,3-trimethylbenzene (123TMB) 1162A; 1,2,4-trimethylbenzene(124TMB) 1119A; 1,3,5-trimethylbenzene(135TMB) 1156A.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10793/2016/acp-16-10793-2016-f04.pdf"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Correlation among SOA density, volatility (VFR) and SOA chemical
composition.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>57</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>71</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C</oasis:entry>  
         <oasis:entry colname="col6">H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C</oasis:entry>  
         <oasis:entry colname="col7">OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Density</oasis:entry>  
         <oasis:entry colname="col2">0.324</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.056</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.38</oasis:entry>  
         <oasis:entry colname="col5">0.551</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.301</oasis:entry>  
         <oasis:entry colname="col7">0.540</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.249</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value<inline-formula><mml:math 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">0.304</oasis:entry>  
         <oasis:entry colname="col3">0.862</oasis:entry>  
         <oasis:entry colname="col4">0.223</oasis:entry>  
         <oasis:entry colname="col5">0.063</oasis:entry>  
         <oasis:entry colname="col6">0.341</oasis:entry>  
         <oasis:entry colname="col7">0.070</oasis:entry>  
         <oasis:entry colname="col8">0.435</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">VFR<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">end</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.537</oasis:entry>  
         <oasis:entry colname="col3">0.56</oasis:entry>  
         <oasis:entry colname="col4">0.399</oasis:entry>  
         <oasis:entry colname="col5">0.471</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.586</oasis:entry>  
         <oasis:entry colname="col7">0.593</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.937</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value<inline-formula><mml:math 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">0.089</oasis:entry>  
         <oasis:entry colname="col3">0.073</oasis:entry>  
         <oasis:entry colname="col4">0.224</oasis:entry>  
         <oasis:entry colname="col5">0.144</oasis:entry>  
         <oasis:entry colname="col6">0.058</oasis:entry>  
         <oasis:entry colname="col7">0.055</oasis:entry>  
         <oasis:entry colname="col8">0.000</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p>Note: <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> VFR<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">end</mml:mi></mml:msub></mml:math></inline-formula> is the volume fraction remaining
at the end of photooxidation. <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values range from 0 to 1:
0 indicates rejection of the null hypothesis and 1 is acceptance of the null hypothesis. Alpha (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>)
level used is 0.05. If the <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value of a test statistic is less than <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,
the null hypothesis is rejected.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Measured and predicted SOA density from different aromatic
hydrocarbon photooxidation under low NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (colored with substitute number
and length: one substitute is red, xylenes are green, ethyltoluenes are blue and
trimethylbenzene is purple; black line is predicted density according to Kuwata
et al., 2011); 123TMB is 1,2,3-Trimethylbenzene; 135TMB is 1,3,5-Trimethylbenzene; 124TMB is 1,2,4-Trimethylbenzene.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10793/2016/acp-16-10793-2016-f05.pdf"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Physical property</title>
<sec id="Ch1.S3.SS3.SSS1">
  <title>SOA density</title>
      <p>SOA density is a fundamental parameter in understanding aerosol morphology,
dynamics, phase and oxidation (DeCarlo et al., 2004; Katrib et al., 2005;
Dinar et al., 2006; Cross et al., 2007). SOA density ranges from 1.29 to
1.38 g cm<inline-formula><mml:math 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> from aromatic photooxidation under low-NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions
in this study (Fig. 5). The range is comparable to previous studies under
similar conditions (Borrás and Tortajada-Genaro, 2012; Ng et al., 2007;
Sato et al., 2010). There is no significant difference in the density of SOA
formed from C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatic hydrocarbon isomers and molecular
structure is not observed to be a critical parameter to determine SOA
density. The standard deviation results from differences in initial
conditions (e.g., initial HC <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO) that also determine the oxidation of
aromatic hydrocarbons (Li et al., 2015) and thus further affect density. SOA
density is correlated with the O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C ratio and OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> (0.551 and
0.540, Table 3), consistent with the observation of Pang et al. (2006) that
SOA density increases with increasing O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C ratio. The density prediction
method developed by Kuwata et al. (2011) based on O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C is
evaluated as
              <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn>12</mml:mn><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn>16</mml:mn><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn>4.15</mml:mn><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The black lines (Fig. 5) are predicted (Eq. 2) densities and show a good
agreement between predicted and measured SOA densities (difference between
prediction and measurement is <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.01–7.62 %). A comparatively large
negative error is found in meta-containing aromatic hydrocarbons, including
<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene, <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-ethyltoluene and <italic>1,3,5</italic>-trimethylbenzene. It is noted
that there should be more alkyl substitutes in SOA formed from meta-position
aromatics than other aromatics since meta-position alkyl substitutes are more
likely to participate into SOA products than other aromatics (Sect. 3.2.1 and
3.2.2). Previous work suggests that the increase of methyl groups could lead
to a change in several key organic fragments (e.g., CO<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
and H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>), thereby altering the default fragment table for
elemental ratio analysis. This agrees with the density underestimation in SOA
formed from meta-position aromatics and supports the preference of
meta-position alkyl substitute to SOA products.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <title>SOA volatility</title>
      <p>SOA volatility is associated with reactions such as oxidation,
fragmentation, oligomerization and mass loading (Kalberer et al., 2004;
Salo et al., 2011; Tritscher et al., 2011; Yu et al., 2014). SOA
volatility in this study is measured as VFR. Initial (&lt; 30 min
after new particle formation) SOA VFRs are around 0.2 for all the aromatic
precursors studied and increase up to 0.58 during photooxidation. This
suggests that aromatic hydrocarbon oxidation undergoes an evolution from
volatile compounds to semivolatile compounds. The VFR trends and ranges are
comparable to previous studies (Kalberer et al., 2004; Qi et al., 2010a, b; Nakao et al., 2012). Figure 6 shows the VFR at the end of
aromatic hydrocarbon photooxidation (VFR<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">end</mml:mi></mml:msub></mml:math></inline-formula>). A decreasing VFR<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">end</mml:mi></mml:msub></mml:math></inline-formula>
trend is found as the number of substitutes increase and for meta-position
(e.g., <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene) or meta-position-containing (e.g., 1,3,5-trimethylbenzene)
aromatic precursors. Correlations among VFR<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">end</mml:mi></mml:msub></mml:math></inline-formula> and chemical
composition are observed in the aromatic hydrocarbons studied here (Table 3). This is consistent with recent findings that O : C ratio is correlated to
aerosol volatility (Sect. 3.3.2) (Cappa and Wilson, 2012; Yu et al., 2014),
thereby affecting the gas–particle partitioning, which in turn relates to
SOA yield. It is also observed that VFR<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">end</mml:mi></mml:msub></mml:math></inline-formula> is strongly correlated
(<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.937) with reaction rate constant (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Higher <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is associated
with faster reaction rates of initial aromatic precursors and is therefore
expected to lead to further oxidation for a given reaction time. However,
the inverse correlation between <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and VFR<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">end</mml:mi></mml:msub></mml:math></inline-formula> indicates that
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value represents more than just the kinetic aspects. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increases with increasing number of substitutes on the aromatic ring.
Additionally, aromatic hydrocarbons with meta-position substitutes have
higher <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> than those with para- and ortho-position (Table S1)
substitutes. This suggests that the precursor molecular structures for
aromatics associated with <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values determine the extent of oxidation
of the hydrocarbons and therefore impact SOA volatility more than simply the
precursor oxidation rate.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>SOA volume fraction remaining (VFR<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">end</mml:mi></mml:msub></mml:math></inline-formula>) at the end of
aromatic hydrocarbon photooxidation under low NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (colored with
substitute number and length: one substitute is red, xylenes are green,
ethyltoluenes are blue and trimethylbenzene is purple); 123TMB is 1,2,3-Trimethylbenzene; 135TMB is 1,3,5-Trimethylbenzene; 124TMB is 1,2,4-Trimethylbenzene.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10793/2016/acp-16-10793-2016-f06.pdf"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Alkyl dilution conjecture on SOA formation from aromatic
hydrocarbons</title>
      <p>The dependence of SOA formation on molecular structure can be partially
represented by the alkyl carbon number. Carbon dilution theory proposed by
Li et al. (2016) successfully explains that methyl-group impacts remain
similar in SOA elemental ratios as in the aromatic precursor. The chemical
composition of SOA formation from alkyl-substituted aromatics is predicted
by simply adding the alkyl substitute into the chemical composition of SOA
formed from pure aromatic ring precursor (benzene). Methyl dilution theory
(Li et al. 2016) is extended to alkyl substitute dilution conjecture in
order to investigate the influence of longer alkyl substitutes compared with
methyl-group substitutes. A robust prediction of SOA H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C trends for
longer (C2<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>) alkyl-substituted aromatics based on the methyl-substituted
aromatics will suggest a similarity in the role of methyl and longer alkyl
to SOA formation; an underestimation or overestimation will indicate
different oxidation pathways for aromatics with differing alkyl substitute
length. Figure 7a and b shows the predicted elemental ratio and OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> for SOA formed from longer alkyl substitutes (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> &gt; 1) based on methyl-only substitute. The elemental ratio of SOA
formed from single-substitute aromatic hydrocarbons including ethylbenzene,
propylbenzene and isopropylbenzene is predicted by toluene and those of
ethyltoluenes are predicted by corresponding xylenes with similar alkyl
substitute location. H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C are generally well predicted by alkyl
dilution effect, except for <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene and iso-propylbenzene. O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C
(15 %), H <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C (1 %) and OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula>(13 %) of <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene are slightly
overestimated by alkyl dilution effect. This indicates that <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-ethyltoluene is
less oxidized than <inline-formula><mml:math display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-xylene possibly due to the hindrance effect of the
longer alkyl substitute.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Comparison of measured and predicted elemental ratio <bold>(a)</bold>
and oxidation state <bold>(b)</bold> of SOA formed from longer alkyl substitute
(<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> &gt; 1). Ethyltoluenes are predicted by
corresponding xylenes and one-substitute aromatic hydrocarbons are predicted
by toluene. <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> Predicted elemental ratio of isopropylbenzene is same
as propylbenzene (not shown in Fig. 7a).</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10793/2016/acp-16-10793-2016-f07.pdf"/>

      </fig>

      <p><?xmltex \hack{\newpage}?>OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> is underestimated in SOA formed from single-substitute aromatic
hydrocarbons, especially for isopropylbenzene (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49 %) and ethylbenzene
(<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25 %). This implies that longer alkyl substitutes are more oxidized than
the methyl group on toluene. A direct <inline-formula><mml:math display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula>OH reaction with the alkyl
part of the aromatic is more favored on longer alkyl chains since tertiary
and secondary alkyl radicals are more stable than primary alkyl radicals
(Forstner et al., 1997). It is also possible that oligomerization from
highly oxidized carbonyl component might be more favored for long-chain
single-alkyl-substituted aromatics. The less significant OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula>
underestimation from xylenes to ethyltoluenes (meta and para) is due to the
presence of an “inert” methyl group which lowers the average OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula>.
Fragmentation on alkyl substitute of isopropylbenzene can lead to a higher
OS<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.22 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04) than propylbenzene (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.42 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11), which
possibly occurs while forming 2,5-furandione or 3-<inline-formula><mml:math display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>-furan-2-one due to the
increased stability of the isopropyl radical compared to the n-propyl
radical. It is also possible that longer carbon chain substitutes might have
higher probability to form other cyclic or low-vapor pressure products by
additional reaction due to their increased length. The similarity in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mn>43</mml:mn><mml:mo>+</mml:mo><mml:mn>57</mml:mn><mml:mo>+</mml:mo><mml:mn>71</mml:mn></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> but discrepancy (insignificant) in elemental
ratio among all single-substitute C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatics support
that additional reactions leading to further oxidization of alkyl
substitutes can occur.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Atmospheric implication</title>
      <p>This study elucidates molecular structure impact on a major anthropogenic SOA
source, photooxidation of aromatic hydrocarbons, under atmospherically
relevant NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions by analyzing SOA yield, chemical composition and
physical properties. These observations, when taken together, indicate the
roles of alkyl substitute number, location, carbon chain length and branching
structure in aromatic hydrocarbon photooxidation. SOA yield of all C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>
and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> aromatic hydrocarbon isomers is comprehensively provided in this
study with a focus on the impact of molecular structure. It is demonstrated
that aromatic hydrocarbon oxidation and SOA formation should not be simply
explained by substitute number. The promoting of SOA formation by the ortho
position is found along with confirmation of the suppression effect by the
para position during oxidation of aromatic hydrocarbons. It is possibly due
to the alkyl substitute location impact on the further oxidation of
five-membered bicyclic radicals. Different carbonyl compounds can form as the
ring opening products from the dissociation of five-membered bicyclic
radical. It is assumed that oligomerization of these carbonyl compounds can
contribute to SOA (Li et al., 2016). Aromatic hydrocarbons with para-position
alkyl substitute tend to form more ketone-like dicarbonyl compounds than
other aromatics. Ketone might contribute less to oligomerization formation
compared with aldehyde as suggested in Li et al. (2016). Meta-position alkyl
substitutes on aromatic ring lead to a lower extent of aromatic hydrocarbon
oxidation. This might be due to a higher percentage of carbonyl with alkyl
substitute formed during the oxidation of meta-containing aromatics (e.g.,
methylglyoxal, 2-methyl-4-oxopent-2-enal), which contributes to
oligomerization and thereby SOA formation. Evidence is provided to
demonstrate aromatic oxidation increase with alkyl substitute chain length
and branching structure. Further, the carbon dilution theory developed by Li.
et al. (2016) is extended to this study. Carbon dilution theory not only
serves as a tool to explain the difference in SOA components due to the
difference in substitute alkyl carbon number but also acts as a standard to
determine the oxidation mechanism based on alkyl substitute structure.
Moreover, the five subcategories of aromatics and their two-product modeling
curve fitting parameters in this work at more realistic NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> loadings
provide a more precise prediction of SOA formation form aromatic hydrocarbons
under atmospheric conditions. Previous studies found that the humidity
insignificantly impacts SOA yield from aromatic hydrocarbons (Cocker et al.,
2001) or maintains the SOA yield relationship between isomers (Zhou et al.,
2011). Therefore, it is predicted that the observation found under dry
conditions in this study, especially the molecular structure impact on SOA
formation from different aromatic isomers, could be extended to
atmospherically relevant humidity conditions. However, recent studies observe
that the hydration of carbonyls and epoxides could lead to further
heterogeneous reaction and oligomerization (Jang et al., 2002; Liggio et al.,
2005; Minerath and Elrod, 2009; Lal et al., 2012). It is possible that
aerosol compositions and the hygroscopic properties could be altered after
the heterogeneous reactions, especially under humid conditions. The impact of
molecular structure impact on SOA formation under humidity condition needs to
be further studied to extend the findings in current the work. This study
improves the understanding of SOA formation from aromatic hydrocarbons and
contributes to more accurate SOA prediction from aromatic precursors. Further
study is warranted to reveal the detailed oxidation pathway of aromatic
hydrocarbons with longer (carbon number &gt; 1) alkyl substitutes.</p>
</sec>
<sec id="Ch1.S6">
  <title>Data availability</title>
      <p>The underlying data are not publically accessible at this time due to size
constraints and lack of common public data repository format for the data
sets obtained within this work. All data are available upon request.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/acp-16-10793-2016-supplement" xlink:title="pdf">doi:10.5194/acp-16-10793-2016-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>We acknowledge funding support from National Science Foundation (ATM
0901282) and W. M. Keck Foundation.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?><?xmltex \hack{\noindent}?><italic>Disclaimer.</italic> Any opinions, findings and conclusions
expressed in this material are those of the author(s) and do not necessarily
reflect the views of the NSF.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: F. Keutsch<?xmltex \hack{\newline}?>
Reviewed by: four anonymous referees</p></ack><ref-list>
    <title>References</title>

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

    </app></app-group></back>
    <!--<article-title-html>Impact of molecular structure on secondary organic aerosol formation from
aromatic hydrocarbon photooxidation under low-NO<sub><i>x</i></sub> conditions</article-title-html>
<abstract-html><p class="p">The molecular structure of volatile organic compounds determines their
oxidation pathway, directly impacting secondary organic aerosol (SOA)
formation. This study comprehensively investigates the impact of molecular
structure on SOA formation from the photooxidation of 12 different eight-
to nine-carbon aromatic hydrocarbons under low-NO<sub><i>x</i></sub> conditions. The
effects of the alkyl substitute number, location, carbon chain length and
branching structure on the photooxidation of aromatic hydrocarbons are
demonstrated by analyzing SOA yield, chemical composition and physical
properties. Aromatic hydrocarbons, categorized into five groups, show a yield
order of ortho (<i>o</i>-xylene and <i>o</i>-ethyltoluene) &gt; one substitute
(ethylbenzene, propylbenzene and isopropylbenzene) &gt; meta
(<i>m</i>-xylene and <i>m</i>-ethyltoluene) &gt; three substitute
(trimethylbenzenes) &gt; para (<i>p</i>-xylene and <i>p</i>-ethyltoluene). SOA
yields of aromatic hydrocarbon photooxidation do not monotonically decrease
when increasing alkyl substitute number. The ortho position promotes SOA
formation while the para position suppresses aromatic oxidation and SOA
formation. Observed SOA chemical composition and volatility confirm that
higher yield is associated with further oxidation. SOA chemical composition
also suggests that aromatic oxidation increases with increasing alkyl
substitute chain length and branching structure. Further, carbon dilution
conjecture developed by Li et al. (2016) is extended in this study to serve
as a standard method to determine the extent of oxidation of an alkyl-substituted aromatic hydrocarbon.</p></abstract-html>
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