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  <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-16-1837-2016</article-id><title-group><article-title>Organic peroxides' gas-particle partitioning and rapid heterogeneous
decomposition on secondary organic aerosol</article-title>
      </title-group><?xmltex \runningtitle{Peroxides' gas-particle partitioning and heterogeneous decomposition}?><?xmltex \runningauthor{H.~Li et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Huan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Chen</surname><given-names>Zhongming</given-names></name>
          <email>zmchen@pku.edu.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Huang</surname><given-names>Liubin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Huang</surname><given-names>Dao</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>State Key Laboratory of Environmental Simulation and Pollution
Control,
College of Environmental Sciences and Engineering, Peking University,
Beijing 100871, China</institution>
        </aff>
        <aff id="aff2"><label>a</label><institution>now at: School of Earth Sciences, Zhejiang University, Hangzhou 310027, Zhejiang, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Zhongming Chen (zmchen@pku.edu.cn)</corresp></author-notes><pub-date><day>17</day><month>February</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>3</issue>
      <fpage>1837</fpage><lpage>1848</lpage>
      <history>
        <date date-type="received"><day>21</day><month>September</month><year>2015</year></date>
           <date date-type="rev-request"><day>20</day><month>October</month><year>2015</year></date>
           <date date-type="rev-recd"><day>18</day><month>January</month><year>2016</year></date>
           <date date-type="accepted"><day>2</day><month>February</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>Organic peroxides, important species in the atmosphere, promote secondary
organic aerosol (SOA) aging, affect HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> radicals cycling, and cause
adverse health effects. However, the formation, gas-particle partitioning,
and evolution of organic peroxides are complicated and still unclear. In this
study, we investigated in the laboratory the production and gas-particle
partitioning of peroxides from the ozonolysis of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, which is
one of the major biogenic volatile organic compounds in the atmosphere and an
important precursor for SOA at a global scale. We have determined the molar
yields of hydrogen peroxide (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:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, hydromethyl hydroperoxide
(HMHP), peroxyformic acid (PFA), peroxyacetic acid (PAA), and total peroxides
(TPOs, including unknown peroxides) and the fraction of peroxides in <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene/O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> SOA. Comparing the gas-phase peroxides with the particle-phase
peroxides, we find that gas-particle partitioning coefficients of PFA and PAA
are 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> times higher than the values from the theoretical prediction,
indicating that organic peroxides play a more important role in SOA
formation than previously expected. Here, the partitioning coefficients of
TPO were determined to be as high as
(2–3) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> 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>. Even so, more than
80 % of the peroxides formed in the reaction remain in the gas phase.
Water changes the distribution of gaseous peroxides, while it does not affect
the total amount of peroxides in either the gas or the particle phase.
Approx. 18 % of gaseous peroxides undergo rapid heterogeneous
decomposition on SOA particles in the presence of water vapor, resulting in
the additional production of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. This process can partially
explain the unexpectedly high 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> yields under wet conditions.
Transformation of organic peroxides to 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> also preserves OH in
the atmosphere, helping to improve the understanding of OH cycling.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Organic peroxides are important trace components in the atmosphere, serving
as reservoirs of HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and RO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> radicals, participating in the
formation of secondary organic aerosol (SOA), and causing adverse health
effects as reactive oxygen species. Recently, peroxides were found to
play a key role in the aging of SOA. The particle-bound organic peroxides
undergo atmospheric photolysis with a lifetime of about 6 days (Epstein et
al., 2014), and decline significantly within the mean SOA age of 4–7 days
(Rudich et al., 2007). A laboratory experiment on the photolysis of SOA shows
a high yield of hydroxyl radicals (OH), which are considered to form from the
decomposition of peroxides (Badali et al., 2015). This OH may cause the
in-particle oxidation of SOA.</p>
      <p>Model studies have tried to simulate the SOA formation in chamber
experiments, but great discrepancies still exist between predicted and
observed results (Camredon et al., 2010; Hoffmann et al., 1997; Griffin et
al., 1999; Cocker III et al., 2001; Saathoff et al., 2009; Presto et al.,
2005; Pye and Seinfeld, 2010; Farina et al., 2010). Jenkin (2004) added the
formation of dimers and improved the simulation, especially at the beginning
of SOA formation. Organic peroxides were found to be highly abundant in SOA
(Ziemann, 2005; Docherty et al., 2005; Surratt et al., 2006; Nguyen et al.,
2010; Bateman et al., 2011; Mertes et al., 2012; Epstein et al., 2014),
possibly in the form of oligomers, which are even more important than
carboxylic acids (Bonn et al., 2004). In order to improve the simulation of
the production of SOA mass within the chamber, explicit parameters for
gas-particle partitioning of organic peroxides are urgently needed.</p>
      <p>The reactions and processes that generate or remove peroxides have been
studied for many years. Cross-reactions of organic peroxy radicals (RO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>)
and the hydroperoxy radical (HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) and self-reactions of HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are
thought to be major sources of organic peroxides and hydrogen peroxide
(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:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, respectively, in the atmosphere. Ozonolysis of biogenic
volatile organic compounds (VOCs) also produces 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in high yields
although its mechanism is unknown (Zhang et al., 2009; Huang et al., 2013).
Hydrolysis and reaction with OH are the main removal pathways for both
organic peroxides 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and dry/wet deposition removes only a
small portion of peroxides (Khan et al., 2015). However, existing theories
about sources and removal of peroxides cannot account for the field
observation results. Model simulations showed an overestimation on total
peroxides (TPOs) and a underestimation on 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> as compared with
field records in the airborne GABRIEL (Guyanas Atmosphere-Biosphere exchange
and Radicals Intensive Experiment with the Learjet) field campaign (Kubistin
et al., 2010), indicating the existence of possible underestimated or new
removal paths for organic peroxides and overestimated or new formation paths
for 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Field observations and laboratory experiments showed that
particulate components, possibly particle-bound organic peroxides, could be
transformed to 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Arellanes et al. (2006) found that
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in ambient SOA solution was 200–1000 times greater than
expected levels based on the gas–liquid partitioning, implying that almost
all 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is generated from SOA solution. Wang et al. (2011)
investigated several kinds of SOA derived from the oxidation of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene, and toluene, and came to the similar conclusion
that more than 97.5 % 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> arose from SOA formation rather than
from gas–liquid partitioning. However, this process happens in SOA solution
and the amount of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> produced by such a pathway is too small to
account for the large discrepancy between observations and simulations for
the gas-phase 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p>The effect of water on peroxides is complex. Laboratory experiments suggested
that yields of particle-phase total peroxides in the ozonolysis of alkenes
are not influenced by water vapor (Docherty et al., 2005). Unlike the total
peroxides, yields of individual peroxides depend on relative humidity (RH).
Yield of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increases under wet conditions (Becker et al., 1990;
Hewitt and Kok, 1991; Simonaitis et al., 1991; Gäb et al., 1995; Huang et
al., 2013), while the yields of bis-hydroxymethyl hydroperoxide and three
unknown organic peroxides decrease under wet conditions (Huang et al., 2013).
Theoretical studies suggest that water helps both the formation and
decomposition of organic peroxides. Water can react with stabilized Criegee
intermediates (SCIs) and generate hydroxyalkyl hydroperoxides (HAHPs). It has
been proposed that not only isolated water molecules, but also water dimers
react with SCIs, and the latter path could even be more important (Ryzhkov and
Ariya, 2004). Numerous laboratory experiments support this proposal (Chao et
al., 2015; Lewis et al., 2015; Berndt et al., 2014). As a result, the
reaction with water dimers will be the largest sink for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO. However,
the quantum chemical calculations predict that the larger SCIs react more
slowly with water, both the water monomer and dimer (Vereecken et al., 2014).
Water also helps gas-phase decomposition of HAHPs, although the decomposition
rate constant is small according to the theoretical calculations (Crehuet et
al., 2001; Aplincourt and Anglada, 2003).</p>
      <p>This study investigates the ozonolysis of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, which is
considered as one of the largest contributors to SOA and a dominant source of
organic peroxides on a global scale (Khan et al., 2015), focusing on the
formation of peroxides in both the gas and the particle phase. Gas-particle
partitioning and water effect are examined carefully.</p>
</sec>
<sec id="Ch1.S2">
  <title>Material and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Chemicals</title>
      <p><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-Pinene (Aldrich, 99 %), cyclohexane (Sigma-Aldrich, <inline-formula><mml:math display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99.7 %), potassium iodide (Alfa Aesar, 99.9 %), hydrogen peroxide
(Alfa Aesar, 35 wt %), orthophosphoric acid (Fluka,
85–90 %), hemin (Sigma, <inline-formula><mml:math display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 98.0 %), 4-hydroxyphenylacetic acid
(Alfa Aesar, 99 %), ammonia solution (NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">⚫</mml:mi></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,
Beijing Tongguang Fine Chemicals Company, 25.0–28.0 %), ammonium
chloride (NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>Cl, Beijing Chemical Works, <inline-formula><mml:math display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99.5 %), ultrapure
water (18 M<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Ω</mml:mi></mml:math></inline-formula>, Millipore), N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99.999 %, Beijing
Haikeyuanchang Practical Gas Company Limited, Beijing, China), O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99.999 %, Beijing Haikeyuanchang Practical Gas Company Limited,
Beijing, China), and a polytetrafluoroethylene (PTFE) filter membrane (Whatman
Inc., 47 mm in diameter) were used in this study.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Apparatus and procedures</title>
      <p>A flow tube reactor (2 m length, 70 mm inner diameter, quartz wall)
equipped with a water jacket for controlling temperature was used to
investigate the ozonolysis of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene. All the experiments were
conducted at 298 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 K and in the dark. O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was generated by the
photolysis of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in a 2 L quartz tube with a low-pressure Hg lamp, and
the detailed quantification method of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was described in our previous
study (Chen et al., 2008). O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 ppmv) was used in the
experiments. <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-Pinene gas was generated by passing a flow of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
over liquid <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene in a diffusion tube at the selected controlled
temperature. The initial concentration of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, determined by a
gas chromatography flame ionization detector (GC-FID, Agilent 7890A, USA),
was <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 273 ppbv in the experiments. Water vapor was generated by
passing 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 water bubbler. The mixing gases, including <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and dry or wet synthetic air (80 % N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
20 % O<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>, were continuously introduced into the reactor with a
total flow rate of 4 standard L min<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> (standard liters per minute)
and a residence time of 120 s. The relative humidity (RH) was controlled at
two levels: <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.5 % RH (dry conditions) and 60 % RH (wet
conditions). Gas from the reactor (2 standard L min<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was directed
into a coil collector and scrubbed by H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>PO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> stripping solution
(5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<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> M, pH 3.5) for hydroperoxides analysis. SOA
produced from the ozonolysis of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene was collected onto a PTFE
filter for 4 h at a flow rate of 4 standard L min<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>, and the mass of
SOA on the filter was immediately measured by a semi-micro balance
(Sartorius, Germany). After that, each loaded filter was extracted with
20 mL H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>PO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> solution (5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<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> M, pH 3.5) using a
shaker (Shanghai Zhicheng ZWY 103D, China) at 180 rpm and 4 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for
15 min, and then the SOA solution was immediately analyzed to determine the
particle-phase peroxides. Each SOA solution was analyzed seven times at different
times to investigate the evolution of SOA solution.</p>
      <p>To explore the effect of water vapor on the formation of peroxides in the
ozonolysis, two-stage reaction experiments were designed and carried out. In
the first stage, dry synthetic air (2 standard L min<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 275 ppbv) and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 42 ppmv) entered the first
2 L flow tube reactor; in the second stage, the gas passed through the
second 2 L flow tube reactor but with the addition of dry or wet synthetic
air (2 standard L min<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The residence time was 68 s in the first
reactor and 34 s in the second reactor. The concentration of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene at the outlet of the first reactor was found to be below the GC-FID
detection limit (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 5 ppbv), meaning that <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene was almost
completely consumed before the gas entered the second reactor. Thus, water
vapor appearing in the second reactor only affected the products from the
first reactor. A filter was placed at the outlet of the first reactor or
second reactor to collect SOA when necessary.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Peroxides' analysis</title>
      <p>The low-weight molecular peroxides were measured using high-performance
liquid chromatography (HPLC, Agilent 1100, USA) coupled with a post-column
derivatization module and fluorescence detection, and the concentration of
total peroxides was determined by an iodometric spectrophotometer method.
Details about the HPLC fluorescence method were reported in our previous
study (Hua et al., 2008). Briefly, this method is based on the reaction of
<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-hydroxyphenylacetic acid (POPHA) with organic hydroperoxides or hydrogen
peroxide in the catalysis of the hemin, forming POPHA dimer
(2,2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>-bisphenol-5,5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>-diacetic acid), which is a
fluorescent substance, and then is quantified by a fluorescence detector. The
separation of peroxides was implemented by column chromatography before the
peroxides were reacted with POPHA. The synthetic method for organic peroxides
standards is described in our previous study (Huang et al., 2013).</p>
      <p>The iodometric spectrophotometric method is used to quantify all classes of
peroxides (ROOR<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>, ROOH, 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:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, with the exception of
tertiary dialkyl peroxides, in the aqueous phase without distinction
(Banerjee and Budke, 1964). Peroxyhemiacetals formed in <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene
ozonolysis can be measured using this method. Excess potassium iodide reacts
with peroxides, producing I<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ions (Reaction R1), which can be
quantified by UV/VIS spectrophotometry.
            <disp-formula id="R1" content-type="numbered reaction"><mml:math display="block"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:msup><mml:mtext>I</mml:mtext><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mtext>H</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mtext>O</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msup><mml:mtext>H</mml:mtext><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mtext>I</mml:mtext><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mtext>H</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>O</mml:mtext></mml:mrow></mml:math></disp-formula>
          <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-Pinene SOA is freely soluble in polar solvents, e.g., water,
acetonitrile, and methanol, but it is poorly soluble in nonpolar solvents,
e.g., chloroform and toluene (Nguyen et al., 2010). Hence, a H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>PO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
solution, as a kind of polar solvent, could entirely extract SOA from
filters. The HPLC fluorescence method uses H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>PO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> solution as a
solvent for peroxides such as 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, hydromethyl hydroperoxide
(HMHP), performic acid (PFA), and peracetic acid (PAA) which are more stable
in acidic solution than in pure water (Zhou and Lee, 1992). In order to be
comparable with the HPLC fluorescence method, SOA loaded filters were also
extracted by H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>PO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> solution. The influence of pH on extraction
efficiency is discussed in the Supplement. In this study, SOA solution
(2.5 mL) was added into a 10 mL airtight Micro-Reaction Vessel (Supelco,
USA). Each solution was then purged of oxygen by bubbling with N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for
5 min. After purging, an aqueous solution of KI (250 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>L, 0.75 M)
was added into the vessel. The vessel was then capped tightly, covered with
aluminium foil, and allowed to stand in the dark for 12–24 h. The solution
absorbance was then measured at 420 nm by an UV/VIS spectrophotometer
(SHIMADZU UV-1800, Japan). The efficiency of peroxide measurements is
discussed in the Supplement.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Peroxide content in the gas phase and particle phase of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis as affected by the OH radical scavenger
cyclohexane<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula>.</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="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">OH scavenger</oasis:entry>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center">None </oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">Cyclohexane </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">RH</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.5 %</oasis:entry>  
         <oasis:entry colname="col3">60 %</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.5 %</oasis:entry>  
         <oasis:entry colname="col6">60 %</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col6">Gas phase </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>Y</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mtext>b</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.048 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.012</oasis:entry>  
         <oasis:entry colname="col3">0.16 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.048 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.010</oasis:entry>  
         <oasis:entry colname="col6">0.14 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>Y</mml:mi><mml:mtext>HMHP</mml:mtext><mml:mtext>b</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.0030 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0003</oasis:entry>  
         <oasis:entry colname="col3">0.0062 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0005</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.0024 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0005</oasis:entry>  
         <oasis:entry colname="col6">0.0037 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0006</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>Y</mml:mi><mml:mtext>PFA</mml:mtext><mml:mtext>b</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.0057 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0020</oasis:entry>  
         <oasis:entry colname="col3">0.012 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.002</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.0020 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0003</oasis:entry>  
         <oasis:entry colname="col6">0.005 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.001</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>Y</mml:mi><mml:mtext>PAA</mml:mtext><mml:mtext>b</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.0067 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0006</oasis:entry>  
         <oasis:entry colname="col3">0.009 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.001</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.0022 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0002</oasis:entry>  
         <oasis:entry colname="col6">0.0024 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0001</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>Y</mml:mi><mml:mtext>TPO</mml:mtext><mml:mtext>b</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.18 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col3">0.20 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.27 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>  
         <oasis:entry colname="col6">0.25 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>(<inline-formula><mml:math display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula>) <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TPO(<inline-formula><mml:math display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula>) (ppbv ppbv<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.26 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>  
         <oasis:entry colname="col3">0.78 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.18 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>  
         <oasis:entry colname="col6">0.50 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col6">Particle phase </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>Y</mml:mi><mml:mtext>SOA</mml:mtext><mml:mtext>c</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.41 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col3">0.39 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.28 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>  
         <oasis:entry colname="col6">0.27 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mtext>d</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula> (ng <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:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">5.09 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.99</oasis:entry>  
         <oasis:entry colname="col3">2.67 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">1.61 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11</oasis:entry>  
         <oasis:entry colname="col6">1.41 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.21</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mtext>PFA</mml:mtext><mml:mtext>d</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula> (ng <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:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.35 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06</oasis:entry>  
         <oasis:entry colname="col3">0.27 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.14 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col6">0.16 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mtext>PAA</mml:mtext><mml:mtext>d</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula> (ng <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:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.11 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.09 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mtext>TPO</mml:mtext><mml:mtext>d</mml:mtext></mml:msubsup></mml:mrow></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:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.23 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col3">0.25 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.16 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col6">0.20 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>) <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TPO(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>) (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>M <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>M<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.20 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03</oasis:entry>  
         <oasis:entry colname="col3">0.10 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.09 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col6">0.06 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">TPO(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>) <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TPO(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mo>+</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>e</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.19 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>  
         <oasis:entry colname="col3">0.18 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.07 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>  
         <oasis:entry colname="col6">0.09 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 275 ppbv <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene,
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1300 ppmv cyclohexane, and <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 42 ppmv O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were used in
these experiments; the data represent the mean <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SD of three
observations; <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> molar yield of peroxides; <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula> mass yield of
SOA; <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>d</mml:mtext></mml:msup></mml:math></inline-formula> contribution of peroxides to SOA mass; <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>e</mml:mtext></mml:msup></mml:math></inline-formula> fraction
of particulate TPO in gaseous and particulate TPO. Note: – indicates below detection limit (0.01 ng <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>).</p></table-wrap-foot></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <title>Gas-particle partitioning of peroxides</title>
<sec id="Ch1.S3.SS1.SSS1">
  <title>Particle-phase peroxides</title>
      <p>We measured the different mass values of SOA produced from the ozonolysis of
<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene at different RHs in the presence or absence of the OH
scavenger cyclohexane, and found that the typical in-reactor SOA
concentration was 450–650 <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>. A comparison of the
aerosol mass yields (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mtext>SOA</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, defined as the ratio of the formed
aerosol mass to the consumed <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene mass, (Table 1) indicated that
while the SOA yields were independent of the presence of water vapor, they
decreased in the presence of OH scavenger.</p>
      <p>Organic peroxides are considered to be one of the major constituents in SOA
(Docherty et al., 2005; Ziemann, 2005; Surratt et al., 2006; Nguyen et al.,
2010; Mertes et al., 2012; Kidd et al., 2014; Badali et al., 2015) (Table S1
in the Supplement). The sensitivity of the iodometric method to ROOR is
critical to obtain an accurate concentration of total peroxides since
peroxyhemiacetals are a significant component (Docherty et al., 2005). In the
present study, we determined the total molar concentration of peroxides in
SOA using the iodometric method. Stability of peroxides in SOA stored
on-filter was also tested, and the results show that peroxides' concentration
decrease with increasing sitting time (Fig. S4 in the Supplement). Hence, the
peroxides in SOA were determined immediately after collection. Here, the mass
fraction of peroxides in SOA (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>peroxides</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is defined as the ratio
of mass of particle-bound peroxides to SOA mass, which is defined as follows:

                  <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>peroxides</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>peroxides</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>SOA</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>peroxides</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the mass of particle-bound peroxides, such as
PFA, PAA, and TPO, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>SOA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the mass of SOA. Assuming that the
average molecular weight of peroxides is 300, we obtained the mass fraction
of total peroxides in SOA (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>TPO</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.21 (Table 1), which
is consistent with 0.22 reported by Epstein et al. (2014), but less than 0.47
reported by Docherty et al. (2005) and 0.34 reported by Mertes et al. (2012).
Several factors, such as the presence of OH scavengers, reactor type,
extraction method, SOA mass measurements, and SOA density assumptions, may
cause these discrepancies. In addition to the concentration of total
peroxides, we measured the concentration of two small organic peroxides
peroxyformic acid (PFA) and peroxyacetic acid (PAA) in SOA and calculated the
contribution of PFA (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PFA</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and PAA (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PAA</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to SOA mass
(Table 1). Under dry conditions, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PFA</mml:mtext></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:mtext>PAA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were
0.35 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06 and 0.11 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04 ng <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>,
respectively, without the OH scavengers and 0.14 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 and
0.09 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 ng <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>, respectively, with cyclohexane.
After adding water vapor, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PFA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> did not significantly change, but
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>PAA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> approached 0.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <title>Gas-phase peroxides</title>
      <p>In addition to the particle-phase peroxides, we measured the gas-phase
peroxides generated in the ozonolysis of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene. Here, the molar
yield of gaseous peroxides (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mtext>peroxides</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is defined in Eq. (2):

                  <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mtext>peroxides</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>peroxides</mml:mtext></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>-pinene</mml:mtext></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> peroxides are moles of gaseous peroxides formed, such as
HMHP, PFA, PAA, and TPO, and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:math></inline-formula>-pinene are moles of consumed
<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene. The molar yield of total peroxides (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mtext>TPO</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was
estimated to be nearly the same under both dry conditions and wet conditions
in the absence of OH scavengers (Table 1), indicating that total yield of
peroxides was unaffected by water vapor. Moreover, when we employed the
Master Chemical Mechanism (MCM) v3.1 mechanism to simulate the present reaction system, the modeled yield of
total peroxides was about 0.25, consistent with our experimental result. The
model results also suggested that hydroperoxides account for more than
99 % of total peroxides. The yields of HMHP (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mtext>HMHP</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, PFA
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mtext>PFA</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and PAA (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mtext>PAA</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are shown in Table 1. Compared with
dry conditions, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mtext>HMHP</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mtext>PFA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> doubled under wet
conditions, while <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mtext>PAA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> increased only slightly. However, yields of
these three organic peroxides were all lower in the presence of OH
scavengers, indicating the importance of OH in the formation of small organic
peroxides.</p>
      <p>Considering that all the peroxides originally existed in the gas phase at the
beginning of the ozonolysis of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, we estimated the fraction of
peroxides that entered the particulate phase from the gas phase through
gas-particle partition based on measured peroxides in the particle and gas
phases. The fraction of particulate TPO in gaseous and particulate
TPOs (TPO(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>) <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TPO(<inline-formula><mml:math display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>)) was essentially the same (Table 1) under
both wet and dry conditions. To the best of our knowledge, for the ozonolysis
of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, this is the first report of the yield of gas-phase total
peroxides (including hydrogen peroxide and organic peroxides) and the
gas-particle partitioning fraction.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Comparison of observed and theoretical gas-particle partitioning
coefficients (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of PFA, PAA, and TPO at different scenarios
(298 K).</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>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col5" align="center"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (observed) </oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (theoretical)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center">(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:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo>)</mml:mo><mml:mtext>a</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">(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:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Sc1</oasis:entry>  
         <oasis:entry colname="col3">Sc2</oasis:entry>  
         <oasis:entry colname="col4">Sc3</oasis:entry>  
         <oasis:entry colname="col5">Sc4</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">PFA</oasis:entry>  
         <oasis:entry colname="col2">8.06 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">2.95 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">9.19 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">4.20 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">2 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">PAA</oasis:entry>  
         <oasis:entry colname="col2">1.76 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">4.38 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">TPO</oasis:entry>  
         <oasis:entry colname="col2">3.47 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">3.39 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">1.61 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">2.17 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> The four scenarios represent four reaction conditions: Sc1
(<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.5 % RH, no OH scavenger), Sc2 (60 % RH, no OH scavenger), Sc3
(<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.5 % RH, with cyclohexane), and Sc4 (60 % RH, with
cyclohexane). Cyclohexane used here was <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1300 ppmv.</p></table-wrap-foot></table-wrap>

      <p>The gas-particle partitioning coefficient (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> describes the
partitioning ability of a given species, calculated as follows (Odum et al.,
1996):

                  <disp-formula id="Ch1.E3" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>g</mml:mtext></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mtext>om</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the concentration of this species in the aerosol phase,
<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>; <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>g</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the concentration of this species in
the gas phase, <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>; and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>om</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the total
concentration of condensed organic matter, <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>. Based on
the gas-phase peroxides' concentration, particle-phase peroxides'
concentration, and the aerosol yields summarized in Table 1, we can obtain
the observed <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Table 2).</p>
      <p>The Pankow absorption model (Pankow, 1994) is the most widely accepted
mechanism to explain the gas-particle partitioning, and has been used to
predict aerosol yields in chamber experiments (Cocker III et al., 2001;
Jenkin, 2004; Yu et al., 1999). Theoretical <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> can be calculated by
the following equation:

                  <disp-formula id="Ch1.E4" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn>7.501</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup><mml:mi>R</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mtext>MW</mml:mtext><mml:mtext>om</mml:mtext></mml:msub><mml:mi mathvariant="italic">ς</mml:mi><mml:msubsup><mml:mi>p</mml:mi><mml:mtext>L</mml:mtext><mml:mo>∘</mml:mo></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the ideal gas constant, J K<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> mol<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>; <inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the
temperature, K; MW<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>om</mml:mtext></mml:msub></mml:math></inline-formula> is the mean molecular weight of the condensed
organic material, g mol<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>. In the present study, MW<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>om</mml:mtext></mml:msub></mml:math></inline-formula> is
estimated to be 130 g mol<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>; <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ς</mml:mi></mml:math></inline-formula> is the activity coefficient
of the given species in the condensed organic phase, and here, is assumed to
be unity; <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mtext>L</mml:mtext><mml:mo>∘</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is the liquid vapor pressure of this
species, Torr. The theoretical <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mtext>L</mml:mtext><mml:mo>∘</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> can be calculated by an
expended, semiempirical form of the Clausius–Clapeyron equation (Baum, 1997).
Theoretical gas-particle partitioning coefficients of PFA and PAA are shown
in Table 2.</p>
      <p>The observed gas-particle partitioning coefficients of PFA, PAA, and TPO were
(3–9) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, (2–4) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and
(2–3) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> 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>, respectively
(Table 2), which, to the best of our knowledge, are reported here for the
first time. However, the long time collection for SOA does have effects on gas-
and particle-phase constituents, possibly due to repartitioning of species
between the two phases. Collected SOA mass and peroxide amount per unit time
decreases slightly with increasing collection time, and peroxide amount
decreases faster than SOA mass (Supplement). Hence, the gas-particle
partitioning coefficients of peroxides given here are underestimated by about
21 %. Compared with the observed <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values, theoretical
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values of PFA and PAA, 2 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and
4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></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>, respectively, were lower
by a factor of 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>. This large difference between observed and
theoretical <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values has also been reported previously (Cocker III
et al., 2001; Jenkin, 2004; Kamens and Jaoui, 2001). Jenkin (2004) considered
the existence of a significant systematic error, which is independent of key
parameters involved in prediction of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values, or the inability to
interpret the Pankow absorption model. After inducing a species-independent
scaling factor of ca. 120 for all partitioning species, Jenkin obtained a
reasonable simulation of the final experimental aerosol concentration, but
was still unable to interpret the early stages of aerosol accumulation. In
addition to the absorptive partitioning mechanism, the participation of bi-
and multifunctional acid dimers in the aerosol formation process was also
considered, resulting in the presentation of simulated results. Organic
peroxides are also important compounds in dimer formation; for instance,
hydroperoxides can react with aldehydes, subsequently producing
peroxyhemiacetals (Tobias and Ziemann, 2000, 2001; Ziemann, 2005). The vapor
pressures of hydroperoxides decreased in the formation of peroxyhemiacetals by
an additional factor of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>–10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:math></inline-formula> (Tobias and Ziemann,
2000), which could partially explain the large discrepancy between the
observed and theoretical gas-particle partitioning coefficient. However,
related thermodynamic and kinetic parameters need further study to resolve
the problem.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Evolution of SOA in the aqueous phase</title>
      <p>We investigated the evolution of SOA in the aqueous phase, focusing on the
change of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in SOA. The initial concentration of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
was low, but it increased rapidly in the first 3.5 h, approaching the peak
at <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 7.5 h, and then decreased slowly, meaning the existence of a
sustained release of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the SOA solution at room temperature
(298 K) (Fig. 1). The molar fraction of peak 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to total
peroxides in SOA (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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>) <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TPO(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>)) under dry conditions
was twice as high as that observed under wet conditions in the absence of OH
scavengers (Table 1). The contribution of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to the SOA mass
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was 1.9 times higher under dry conditions (5.09 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.99 ng <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:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> than under wet conditions
(2.67 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17 ng <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:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (Table 1). In the presence of
cyclohexane, 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>) <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TPO(<inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>) was slightly higher under dry
conditions than wet conditions (0.09 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 and 0.06 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01,
respectively), while <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values were not significantly
affected by RH (Table 1). Our observations are consistent with those of Wang et
al. (2011) who studied <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene-derived SOA, and measured the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> as 2.01 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.76 ng <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>, which was
unchanged by a variety of oxidants (NO/light, O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>/cyclohexane) over the range of 14–43 % RH.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Evolution of total peroxides 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> contents in SOA
produced under dry (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.5 % RH) and wet (60 % RH) conditions at
298 K. Circles and squares represent total peroxides 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
contents in SOA, respectively; and solid lines and dashed lines represent that
obtained under dry and wet conditions, respectively. The data represent the
mean <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SD of three observations.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/1837/2016/acp-16-1837-2016-f01.pdf"/>

        </fig>

      <p>The sustained release of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> coupled with the attenuation of total
peroxides provided experimental evidence for the hypothesis that the
decomposition/hydrolysis of organic peroxides generates 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The
decay of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in SOA solution after 18 h is a comprehensive
phenomenon including formation and decomposition, and the rate was estimated
to be 0.06 and 0.03 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>M h<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> for SOA produced under dry and wet
conditions, respectively. To assess the formation, we determined the
decomposition rates of pure 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at different concentrations. When
the 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration was <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>M
(<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>M), the rate of decomposition was
0.11 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>M h<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> (0.05 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>M h<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations were equivalent with those of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in SOA solution.
Thus, we can estimate 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> formation in the SOA solution after
18 h to have a rate of 0.05 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>M h<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> under dry conditions and
0.02 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>M h<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> under wet conditions. As shown in Fig. 2, the
peroxycarboxylic acids (PCAs) (PFA and PAA), decayed quickly while the HAHP
(HMHP) decayed slowly. Hence, the formation of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> after 18 h
could be attributed to the decomposition of HAHPs. However, in the first
7.5 h period, 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increased rapidly which is more consistent with
the decay of PCAs rather than HAHPs. Not all the organic peroxides decayed
during the observation time, since the attenuation of TPO almost stopped
after 40 h. The residual peroxides were more stable, possibly due to the
formation of ROOR by oligomerization.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Decomposition/hydrolysis of organic peroxides in the aqueous phase.
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the ratio of peroxides' concentration at
time <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> h to peroxides concentration at time <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 h. Lines are
exponential fits for HMHP, PFA, and PAA. The decay rate constants of HMHP,
PFA, and PAA are 0.09, 1.06, and 0.64 h<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>, respectively. The data represent
the mean <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SD of three observations.</p></caption>
          <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/1837/2016/acp-16-1837-2016-f02.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{Unexpectedly high levels of H${}_{{2}}$O${}_{{2}}$ in the gas phase}?><title>Unexpectedly high levels of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the gas phase</title>
      <p>Table 1 shows the molar yields of gas-phase 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> yield in the absence and presence of cyclohexane was
essentially the same in dry conditions, but under conditions of high RH
increased to 0.16 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 in control studies and to 0.14 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02 in
the presence of cyclohexane. Thus, the presence of water vapor elevated the
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> yield, while the presence of a radical scavenger had no
effect. Previous studies on gas-phase 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> yields of the ozonolysis
of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene are reviewed (Table S2). Becker et al. (1990)
first reported that the presence of water vapor will significantly promote the
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> yield, and our work confirmed this observation. However, our
measured values of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were 10 times higher than those reported
by others under both dry and wet conditions, except that by Simonaitis et
al. (1991). Differences in reactant concentration, reactor type, and measuring
methods account for these discrepancies. Worth noting is that the reactants'
concentrations used in these previous and our experiments are very high,
therefore, yields of peroxides may not represent actual yields of peroxides
in oxidation of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene in nature (Supplement).</p>
      <p>The source of gas-phase 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> remains unclear. We suggest that
further ozonolysis and OH oxidation of gaseous products and reactants in the
aqueous phase during and after gas collection are not likely to be the main
sources of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. In this study, the online GC-FID test showed that
<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene was completely consumed in the gas phase. Hence, the
contribution of aqueous-phase <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis to the measured
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the coil collector should be negligible. The main gas-phase
non-peroxy organic products of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis are carbonyls and
organic acids, e.g., pinonaldehyde, formaldehyde, acetone, and pinic acid;
these compounds without carbon–carbon double bonds cannot be oxidized by
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The ozonolysis of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene produces the OH radical in high
yield (0.68–0.91) (Berndt et al., 2003), which potentially oxidizes
carbonyls and organics. However, we observed no difference of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in the absence and presence of OH scavengers, indicating
that OH oxidation in the aqueous phase may not be a source of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p>Decomposition/hydrolysis of organic peroxides in the aqueous phase during and
after gas collection is also found to be a minor source of gas-phase
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. HAHPs and PCAs, two kinds of organic peroxides, are the
probable candidates for generating 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. HAHPs are the main products
of the reaction of SCI with water molecules and dimers (Ryzhkov and Ariya,
2004), and they can decompose to 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> plus the corresponding
aldehyde, or 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 plus the corresponding organic acid (Hellpointner and
Gäb, 1989). The hydrolysis of PCAs, which are generated from the reaction
of RC(O)OO with HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, is another possible source of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
Several kinds of PCAs have been qualitatively observed in the ozonolysis of
<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene (Venkatachari and Hopke, 2008). In this study, we
quantitatively observed PFA and PAA in the gas phase (Table 1), and simulated
the formation of PCAs using the MCM v3.1 mechanism. Model results showed that the
yield of total PCAs was extremely low, 0.0005, and PAA contributed more than
half of the yield, while the formation pathway of PFA was not included. The
large discrepancy between modeled and experimental results indicates that
PCAs play a more important role than was expected previously. We estimate the
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> generated from organic peroxides in the aqueous phase by
measuring the decomposition/hydrolysis rate of organic peroxides. Considering
the effects of concentration, coexisting components, and ionic strength, we
conducted the measurements with coil collection solutions rather than with
synthesized samples. The decomposition/hydrolysis of organic peroxides is a
pseudo-first-order reaction due to the excess of the other reactant, i.e.,
water. The decay rate constants of HMHP, PFA, and PAA were determined to be
0.09, 1.06, and 0.64 h<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>, respectively (Fig. 2). Larger HAHPs were less
active compared with HMHP and should have lower decay rate constants. If all
the TPOs are composed of HAHPs and the production of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> plus
aldehydes is the only decomposition pathway of HAHPs, the upper bound of
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> formed in the aqueous phase within 8 min may be estimated to
be 1.2 % of TPO. However, the observed ratio of gas-phase 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
to TPO was 28–78 %, indicating that the aqueous-phase decomposition of
HAHPs is insignificant. Compared with HMHP, the decay rates of PFA and PAA
were quite high. Assuming that all the TPOs, except for PFA, are PCAs and
their decay rates were the same as that of PAA, 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> formed in the aqueous
phase within 8 min is estimated to be 13.2 % of TPO, which can partially
explain the observed 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> level. However, the yield of PCAs in the
ozonolysis of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene is predicted to be low in the MCM v3.1 model.
The experimental results mentioned above concluded that the aqueous-phase
formation of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is not important, for the decay rate of HAHPs was
too slow, and the amount of PCAs was too low, although their decay rate was
higher.</p>
      <p>Whether the self-reaction of HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and decomposition of HAHP in the gas
phase are the main sources of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is discussed here. The
self-reaction of HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is considered to be the main source of ambient
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Lee et al., 2000; Reeves and Penkett, 2003) and occurs in the
ozonolysis of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene. When we estimated the contribution of this
pathway to the observed 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis using
MCM v3.1 mechanisms, the yield was less than 0.001 under both dry and wet
conditions, meaning that this pathway is negligible. Chamber experiments
showed that SCI mainly reacts with water molecules even under dry conditions
(Jenkin, 2004), and the major product is HAHP. Aplincourt and Anglada (2003)
considered that the unimolecular decomposition of gaseous HAHPs was unlikely
to occur, and only the water-assisted decomposition was efficient in the gas
phase. They estimated the water-assisted decomposition rate constant of
2-propenyl <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-hydroxy hydroperoxide to be
1.5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>30</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<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> s<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> by quantum
chemical calculation. Based on their work, the gas-phase decomposition
fraction of HAHP in 2 min can be calculated to be less than 0.01 %,
which is too small to account for the 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> observed in our
experiments.</p>
      <p>In summary, the high 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> yields in the gas phase cannot be
explained by the bias caused by measuring method and the current formation
mechanism of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. An unknown or underestimated pathway producing 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> may exist. In Sect. 3.4, we propose that gaseous
organic peroxides can undergo rapid heterogeneous decomposition in the
presence of water and produce 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Hydrogen peroxide in the coil collector at different scenarios in
the two-stage experiments.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Scenarios</oasis:entry>  
         <oasis:entry colname="col2">Filter position<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">Water vapor<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">Species in second reactor</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">1d</oasis:entry>  
         <oasis:entry colname="col2">Second reactor</oasis:entry>  
         <oasis:entry colname="col3">No</oasis:entry>  
         <oasis:entry colname="col4">100 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 %</oasis:entry>  
         <oasis:entry colname="col5">Gaseous products, SOA</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1w</oasis:entry>  
         <oasis:entry colname="col2">Second reactor</oasis:entry>  
         <oasis:entry colname="col3">Yes</oasis:entry>  
         <oasis:entry colname="col4">165 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 %</oasis:entry>  
         <oasis:entry colname="col5">Gaseous products, SOA, water vapor</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2d</oasis:entry>  
         <oasis:entry colname="col2">First reactor</oasis:entry>  
         <oasis:entry colname="col3">No</oasis:entry>  
         <oasis:entry colname="col4">103 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 %</oasis:entry>  
         <oasis:entry colname="col5">Gaseous products</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2w</oasis:entry>  
         <oasis:entry colname="col2">First reactor</oasis:entry>  
         <oasis:entry colname="col3">Yes</oasis:entry>  
         <oasis:entry colname="col4">87 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7 %</oasis:entry>  
         <oasis:entry colname="col5">Gaseous products, water vapor</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3d</oasis:entry>  
         <oasis:entry colname="col2">No filter</oasis:entry>  
         <oasis:entry colname="col3">No</oasis:entry>  
         <oasis:entry colname="col4">164 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9 %</oasis:entry>  
         <oasis:entry colname="col5">Gaseous products, SOA<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3w</oasis:entry>  
         <oasis:entry colname="col2">No filter</oasis:entry>  
         <oasis:entry colname="col3">Yes</oasis:entry>  
         <oasis:entry colname="col4">172 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 %</oasis:entry>  
         <oasis:entry colname="col5">Gaseous products, SOA, water vapor</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> The filters were placed at the outlet of the first
reactor or second reactor. <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> Water vapor was induced into the
second reactor. <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula> Although gaseous products and SOA did not contact
water vapor in the second reactor, they were in contact with the condensed
water in the coil collector.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS4">
  <title>Rapid heterogeneous decomposition of gaseous organic peroxides</title>
      <p>Our results demonstrate that water vapor has no significant effect on either
the yield of total peroxides (combining gaseous and particulate peroxides) or
the contribution of peroxides to SOA mass. However, water vapor does change
the concentrations of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, PFA, and PAA in the gas phase and
particle phase in an opposite manner (Table 1). In the presence of water
vapor, 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> yield increased dramatically by <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 300 %, and
gas-phase 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TPO increased from 0.26 to 0.78. Yields of
HMHP, PFA, and PAA also increased with the presence of water vapor. These
results clearly indicate that water vapor can change the formation and
distribution of peroxides.</p>
      <p>We carried out a series of two-stage experiments using two reactors under
various scenarios to further study the effect of water vapor on peroxides
(Table 3). In scenario 1d, no water vapor was added and a filter was used to
intercept SOA entering the coil collector, which is similar to measuring
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> under dry conditions with one reactor. The concentration of
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> observed in the coil collection solution under this condition
was considered to be the baseline value, 100 %. When the filter was
placed at the outlet of the first reactor (scenario 2d) instead of at the
second reactor, the concentration of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was 103 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 %,
almost the same as the baseline, indicating that the coexistence of gaseous
products and SOA will not lead to the formation of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. In
scenario 2w, a filter was placed at the outlet of the first reactor and water
vapor was added to the second reactor, resulting in the coexistence of
gaseous products and water vapor (50 % RH) in the second reactor. The
concentration of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> observed in this scenario was 87 %,
slightly lower than the baseline, possibly due to loss on the wall of the
reactor under wet conditions, which has been reported to be 5 % for
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at 50 % RH (Huang et al., 2013). When we maintained the
water vapor and moved the filter to the outlet of the second reactor
(scenario 1w), the 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration increased to
165 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 % of baseline. In scenario 3w, with water vapor added to
the second reactor and without a filter in the gas flow, the 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration was 172 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 %, almost the same as that in scenario 1w.
In scenario 3d, no water vapor and no filter were used, but a high
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration, 164 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9 %, was also observed. For
scenarios 1w, 3w, and 3d, where 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increased by <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 67 %,
gaseous products, SOA, and water were all present in the second reactor or
coil collector. The coexistence of gaseous products and water vapor (see
scenario 2d and 2w), the coexistence of gaseous products and SOA (see
scenario 1d and 2d), and the coexistence of SOA and water (see Sect. 3.3) did
not result in a high yield of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. We therefore concluded that the
presence of three components together, the gaseous products, SOA, and water,
was necessary for a high yield of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Once the gaseous products
and SOA had been in contact with water vapor in the second reactor, the
levels of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were increased to the same extent, whether or not
these compounds were mixed with condensed water (see scenario 1w and 3w),
indicating that the process producing 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the gas phase is
quite rapid.</p>
      <p>When we measured the total peroxides formed from gaseous products and SOA in
scenarios 1d and 1w, the results showed that for these two scenarios, the
levels of the total peroxides in both gaseous products and SOA were not
significantly different, indicating that SOA does not change in the presence
of water vapor and no new peroxides are formed in the gas phase. This outcome
supports the idea that the increment of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> comes from the
redistribution of gaseous peroxides, which is induced by the heterogeneous
decomposition of gaseous products in the presence of both SOA and water.
Based on the measured increment of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and concentration of
gaseous total peroxides, we concluded that 18 % of the gaseous total
peroxides undergo rapid heterogeneous decomposition.</p>
      <p>Heterogeneous reactions of trace gases on the surface of particles relevant
to the atmosphere have been studied for many years. The investigated trace
gases, including nitrogen oxides (e.g., HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and
N<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:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, SO<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: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">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and oxygenated VOCs
(Liggio et al., 2005; Kroll et al., 2005; Prince et al., 2007; Zhao et al.,
2010, 2011, 2014; Huang et al., 2015), could react with the active sites on
the surfaces of mineral dust (Goodman et al., 2001; Fu et al., 2007). Unlike
mineral dust, however, SOA has no such active sites. The elucidation of the
mechanism of the rapid heterogeneous decomposition of organic peroxides on
SOA particles remains a great challenge and needs urgent study.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions and atmospheric implications</title>
      <p>Our laboratory study has provided more evidence that organic peroxides are
important components of SOA derived from the ozonolysis of alkenes. In the
case of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, organic peroxides account for <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 21 % of
the SOA mass and this fraction is not affected by RH and the presence of OH
scavengers. More interestingly, the gas-particle partitioning coefficients of
organic peroxides have been estimated for the first time based on the
measurements of both gaseous and particulate peroxides. Due to the
long time collection for SOA, these coefficients reported here are lower bounds in this
study. For PFA and PAA, the observed values were 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> times higher than
that of the theoretical value calculated by the Pankow absorption model. This
discrepancy indicates a more important role of peroxides in SOA formation
than expected previously and the existence of mechanisms in addition to the
absorption that are not yet defined. The reaction of organic hydroperoxides with
carbonyls forming peroxyhemiacetals may explain part of the enhancement of
the partitioning of peroxides. However, the kinetic parameters of
peroxyhemiacetal formation are lacking. The explicit mechanisms of
gas-particle partitioning and the determination of gas-particle partitioning
coefficients of larger organic peroxides deserve further study to improve the
simulation of SOA mass.</p>
      <p>We also examined gas-phase peroxides. The yield of gaseous total peroxides
was <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.22, which was independent of RH and OH scavengers. The MCM v3.1
mechanism predicted this yield but failed to explain the yields of individual
peroxides, i.e., 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, HMHP, PFA, and PAA, indicating that our
previous understanding of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis was insufficient. For
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with a yield of 0.048 under dry conditions and 0.16 under wet
conditions, the known pathways, including dissolution of SOA, aqueous
oxidation of gaseous compounds, and decomposition/hydrolysis of organic
peroxides in the aqueous phase, cannot explain such an unexpectedly high
yield of 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The presence of both water and SOA leads to the
rapid transformation of gaseous organic peroxides into 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. This
heterogeneous process increases the 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> yield by <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 67 %.
Our results also show that water vapor affects the distribution of gaseous
peroxides, although it cannot change the yield of total peroxides.</p>
      <p>The rapid heterogeneous transformation of organic peroxides to 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
helps to explain the differences between modeled and observed levels of
peroxides and OH in the forest area. In the airborne GABRIEL field campaign
in equatorial South America (Surinam) in October 2005 (Kubistin et al.,
2010), two issues arose. (1) Organic peroxides were overestimated while
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was underestimated, and (2) OH and HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were also
underestimated, especially when concentrations of VOCs were high. These
investigators suggested the occurrence of additional recycling from HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
to OH or the contributions of additional direct OH sources. Our finding that
organic peroxides can transform to 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by rapid heterogeneous
reactions can address the first discrepancy directly and the second
indirectly. Peroxides influence OH through the removal pathways as follows:
<?xmltex \hack{\def\theequation{R\arabic{equation}}}?><?xmltex \hack{\addtocounter{equation}{-3}}?>

              <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ROOH</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">RO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ROOH</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">RO</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          Predominant removal paths for organic peroxides in the atmosphere are the
reaction with OH (95 %) and photolysis (4.4 %) (Khan et al., 2015),
while for 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, these two paths are almost equally important. The
OH oxidation process consumes OH, while the photolysis process produces OH.
Obviously, 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> plays a different role in the OH cycling compared
with organic peroxides. One molecule of organic peroxides, transformed into
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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, yields <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.4 molecules of OH. Thus, the rapid
transformation of organic peroxides to 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by the heterogeneous
process would increase OH levels. However, not all the organic peroxides
could be transformed to 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:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by the heterogeneous process. Further
studies are needed to clarify this process in the atmosphere and unveil the
features of the peroxides undergoing heterogeneous transformation.
<?xmltex \hack{\def\theequation{\arabic{equation}}}?><?xmltex \hack{\setcounter{equation}{0}}?></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-16-1837-2016-supplement" xlink:title="pdf">doi:10.5194/acp-16-1837-2016-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>We gratefully acknowledge the National Natural Science Foundation of China
(grants 41275125, 21190053, 21477002) and the State Key Laboratory of
Environment Simulation and Pollution Control (special fund) for financial
support.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: F. Keutsch</p></ack><ref-list>
    <title>References</title>

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    <!--<article-title-html>Organic peroxides' gas-particle partitioning and rapid heterogeneous
decomposition on secondary organic aerosol</article-title-html>
<abstract-html><p class="p">Organic peroxides, important species in the atmosphere, promote secondary
organic aerosol (SOA) aging, affect HO<i/><sub><i>x</i></sub> radicals cycling, and cause
adverse health effects. However, the formation, gas-particle partitioning,
and evolution of organic peroxides are complicated and still unclear. In this
study, we investigated in the laboratory the production and gas-particle
partitioning of peroxides from the ozonolysis of <i>α</i>-pinene, which is
one of the major biogenic volatile organic compounds in the atmosphere and an
important precursor for SOA at a global scale. We have determined the molar
yields of hydrogen peroxide (H<i/><sub>2</sub>O<i/><sub>2</sub>), hydromethyl hydroperoxide
(HMHP), peroxyformic acid (PFA), peroxyacetic acid (PAA), and total peroxides
(TPOs, including unknown peroxides) and the fraction of peroxides in <i>α</i>-pinene/O<i/><sub>3</sub> SOA. Comparing the gas-phase peroxides with the particle-phase
peroxides, we find that gas-particle partitioning coefficients of PFA and PAA
are 10<i/><sup>4</sup> times higher than the values from the theoretical prediction,
indicating that organic peroxides play a more important role in SOA
formation than previously expected. Here, the partitioning coefficients of
TPO were determined to be as high as
(2–3)  ×  10<i/><sup>−4</sup> m<i/><sup>3</sup> µg<i/><sup>−1</sup>. Even so, more than
80 % of the peroxides formed in the reaction remain in the gas phase.
Water changes the distribution of gaseous peroxides, while it does not affect
the total amount of peroxides in either the gas or the particle phase.
Approx. 18 % of gaseous peroxides undergo rapid heterogeneous
decomposition on SOA particles in the presence of water vapor, resulting in
the additional production of H<i/><sub>2</sub>O<i/><sub>2</sub>. This process can partially
explain the unexpectedly high H<i/><sub>2</sub>O<i/><sub>2</sub> yields under wet conditions.
Transformation of organic peroxides to H<i/><sub>2</sub>O<i/><sub>2</sub> also preserves OH in
the atmosphere, helping to improve the understanding of OH cycling.</p></abstract-html>
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