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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <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-18-3589-2018</article-id><title-group><article-title>Multi-generation chemical aging of <inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene<?xmltex \hack{\break}?> ozonolysis products by
reactions with OH</article-title><alt-title>Multi-generation chemical aging of <inline-formula><mml:math id="M2" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis products</alt-title>
      </title-group><?xmltex \runningtitle{Multi-generation chemical aging of $\alpha$-pinene ozonolysis products}?><?xmltex \runningauthor{N. Wang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Ningxin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Kostenidou</surname><given-names>Evangelia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Donahue</surname><given-names>Neil M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3054-2364</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Pandis</surname><given-names>Spyros N.</given-names></name>
          <email>spyros@chemeng.upatras.gr</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Chemical Engineering, University of Patras, Patra, Greece</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Chemical Engineering Sciences (ICE-HT), FORTH, Patra, Greece</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Spyros N. Pandis (spyros@chemeng.upatras.gr)</corresp></author-notes><pub-date><day>12</day><month>March</month><year>2018</year></pub-date>
      
      <volume>18</volume>
      <issue>5</issue>
      <fpage>3589</fpage><lpage>3601</lpage>
      <history>
        <date date-type="received"><day>9</day><month>August</month><year>2017</year></date>
           <date date-type="rev-request"><day>29</day><month>August</month><year>2017</year></date>
           <date date-type="rev-recd"><day>30</day><month>December</month><year>2017</year></date>
           <date date-type="accepted"><day>15</day><month>January</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract>
    <p id="d1e137">Secondary organic aerosol (SOA) formation from
volatile organic compounds (VOCs) in the atmosphere can be thought of as a
succession of oxidation steps. The production of later-generation SOA via
continued oxidation of the first-generation products is defined as chemical
aging. This study investigates aging in the <inline-formula><mml:math id="M3" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis
system with hydroxyl radicals (OH) through smog chamber experiments. The
first-generation <inline-formula><mml:math id="M4" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis products were allowed to react
further with OH formed via HONO photolysis. After an equivalent of 2–4 days
of typical atmospheric oxidation conditions, homogeneous OH oxidation of the
<inline-formula><mml:math id="M5" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis products resulted in a 20–40 % net increase
in the SOA for the experimental conditions used in this work. A more
oxygenated product distribution was observed after aging based on the
increase in aerosol atomic oxygen-to-carbon ratio (O : C) by up to 0.04.
Experiments performed at intermediate relative humidity (RH) of 50 %
showed no significant difference in additional SOA formation during aging
compared to those performed at a low RH of less than 20 %.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e168">Anthropogenic activities such as fuel combustion as well as biogenic sources
such as emissions from vegetation can introduce particles and particle
precursors into the atmosphere. In most areas, about half of the submicron
aerosol mass on average is composed of organic compounds (Zhang et al.,
2007). Organic particles directly emitted to the atmosphere are
traditionally defined as primary organic aerosol (POA), while those formed
through atmospheric reactions and condensation of species with corresponding
volatility are secondary (SOA). Atmospheric aerosols represent a significant
risk to human health by causing respiratory problems and heart attacks
(Davidson et al., 2005; Pope et al., 2009). At the same time these particles
influence the climate of our planet (Intergovernmental Panel on Climate
Change, 2007).</p>
      <p id="d1e171">Oxygenated OA with a high oxygen-to-carbon ratio (O : C) is often the most
important component of ambient OA, suggesting the importance of atmospheric
chemistry in the formation and processing of OA (Zhang et al., 2007). Early
studies of SOA formation (Grosjean and Seinfeld, 1989; Izumi and Fukuyama,
1990; Odum et al., 1996) focused on the first stage of reactions involving
the target precursor reacting with the chosen oxidant. In the atmosphere,
organic vapors and particles interact with oxidants for days and therefore
successive oxidation processes are inevitable.</p>
      <p id="d1e174">Chemical aging refers to the subsequent stages of SOA formation and
evolution due to the production of later-generation products via oxidation
of first-generation products by oxidants such as OH free radicals (Donahue
et al., 2006; Henry et al., 2012). Previous studies have explored various
forms of aging, including heterogeneous reactions of oxidants and aerosols
(George et al., 2008), oligomerization (Kalberer et al., 2006),
photolysis of either gas- or condensed-phase products (Henry and Donahue,
2012), and homogeneous gas-phase oxidation by OH
(Donahue et al., 2012). Homogeneous gas-phase
oxidation reactions appear to be in general much faster than heterogeneous
reactions due to diffusion limitations of the latter (Lambe et al., 2009).
The first-generation oxidation reactions of most SOA precursors convert much
less than 50 % of the precursor to SOA,<?pagebreak page3590?> leaving more than half of the
carbon still in the gas phase. Additional oxidation of these vapors can
potentially contribute additional and more oxygenated SOA components. These
later-generation reactions have been proposed to be a major missing step
connecting chamber studies to field measurements.</p>
      <p id="d1e177">Zeroth-order parameterizations have been developed to model the chemical
aging of semi-volatile POA emissions in chemistry–transport models (CTMs; Robinson
et al., 2007). CTMs using these schemes show improved performance in urban
areas such as Mexico City (Tsimpidi et al., 2011), but tend to overpredict
OA in areas such as the southeastern United States where biogenic volatile organic compounds
(VOCs)
dominate if chemical aging is assumed to be a major source of additional SOA
(Lane et al., 2008). As a result, the importance of aging of biogenic SOA as
a source of SOA mass concentration remains an issue of debate.</p>
      <p id="d1e181">The ozonolysis of <inline-formula><mml:math id="M6" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene (C<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is considered one of
the most important global SOA sources (Griffin et al., 1999). The system has
been well characterized through smog chamber experiments in which researchers
quantified its SOA yields under different conditions, explored the reaction
pathways and mechanisms, and identified its product distributions. Recent
studies suggest that there is significant potential for additional SOA
formation from homogeneous gas-phase aging by OH of the first-generation
<inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene oxidation products (Donahue et al., 2012; Müller et
al., 2012; Chacon-Madrid et al., 2013). Major identified products such as pinonaldehyde and pinonic acid existing
in the gas phase can serve as SOA
precursors and further react with OH. Pinonaldehyde reacts with OH, with SOA
mass yields up to 5 % under low-NO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions and 20 % under
high-NO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions (Chacon-Madrid et al., 2013). Müller et al. (2012) demonstrated the formation of 1,2,3-butanetricarboxylic acid (MBTCA),
an SOA product of low volatility identified in <inline-formula><mml:math id="M12" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis,
through the gas-phase OH oxidation of pinonic acid. They reported an
experimental yield of 0.6 % for MBTCA from the gas-phase OH oxidation of
pinonic acid, accounting for about 10 % of the total SOA formed. The
proposed formation mechanisms of MBTCA are a classic example of semi-volatile
precursors going through oxidation and forming products of lower volatility.</p>
      <p id="d1e245">The Multiple Chamber Aerosol Chemical Aging Study (MUCHACHAS) explored the
gas-phase OH aging effects of the <inline-formula><mml:math id="M13" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis products via
experiments performed in four different smog chambers (Donahue et al., 2012). They were able to isolate the
aging effect by using different OH sources (HOOH photolysis, HONO
photolysis, tetramethylethylene (TME) ozonolysis), light sources (sunlight,
quasi-solar lamps, 350 nm UV lamps), and chambers of different design in size and material (Teflon
and aluminum). In almost all experiments, additional formation of SOA (up to
55 %) and a more oxidized product distribution (increasing O : C) were
observed after aging. However, in one of the chambers, strong UV photolysis
led to decreasing SOA mass concentrations in experiments with low to
moderate OH levels, [OH] <inline-formula><mml:math id="M14" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M15" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M17" 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>
(Henry and Donahue, 2012). These authors concluded that chemical
aging involves a complex set of interacting processes with competing
functionalization (conserved C number with products of lower volatility and
higher oxidation states) and fragmentation (cleavage of C-C bonds with products
over a wide volatility range and higher oxidation states) of the various
organic compounds. A 2-D volatility basis set (2D-VBS) simulation based on
these two pathways and a branching ratio between them showed that
homogeneous OH aging can potentially more than double the <inline-formula><mml:math id="M18" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene
SOA mass concentration, after about a day's equivalent of typical
atmospheric oxidation conditions. Uncertainties such as “ripening” during
which SOA volatility evolves but its mass remains constant, UV photolysis
and heterogeneous OH uptake can further complicate the aging process.</p>
      <p id="d1e298">Qi et al. (2012) also explored aging of the <inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis
system through smog chamber experiments using HOOH as an OH source and
studied the UV photolysis effect. They observed a 7.5 % increase in the
SOA volume concentration and an increase of 0.03 in the O : C after aging.
Minimum photolysis effect was reported for these experiments.</p>
      <p id="d1e308">One complication of chamber experiments is the interaction of particles with
chamber walls. The wall-loss rate of particles is a function of particle
size, charge distribution, chamber geometry, turbulence, and electric field
within the chamber (Crump and Seinfeld, 1981). In order to quantify SOA
yields from chamber experiments, it is important to correct for particle wall
loss.</p>
      <p id="d1e311">Recent findings show that organic vapors in the chamber can be directly lost to
the Teflon walls as well further complicate the wall-loss correction process
(Matsunaga and Ziemann, 2010; Zhang et al., 2014). Krechmer et al. (2016)
measured the loss rate of vapors formed in the chamber and found the
corresponding timescale to be 7–13 min. Ye et al. (2016a) determined the vapor
wall-loss timescale in the Carnegie Mellon chamber used in this work to be
around 15 min for semi-volatile organic compounds.</p>
      <p id="d1e314">Despite the consensus from the aforementioned chamber studies that gas-phase
OH aging of <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis products can contribute to
additional SOA formation, there lacks consistency in the extent to which the
additional mass can form for different OH exposures. Part of the problem is
that the estimated amount of additional SOA formed from these long-lasting
aging experiments can be extra sensitive to the particle and the vapor
wall-loss correction methods deployed. The uncertainties at the end of a
10 h long aging experiment during which most particles are lost to
chamber walls and the measured suspended mass is low can be relatively high.
In this work, we aim to quantify the additional SOA formed during the aging
step comparing measurements from a suite of instrumentation. We adopt a
size-dependent particle wall-loss correction method and develop a procedure
to better constrain the associated errors. We also attempt to<?pagebreak page3591?> constrain the
vapor loss using both theoretical calculations and measurements.</p>
</sec>
<sec id="Ch1.S2">
  <title>Experimental approach</title>
      <p id="d1e330">We conducted experiments in a 12 m<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> Teflon (Welch Fluorocarbons) smog
chamber at Carnegie Mellon University (CMU). The reactor was suspended in a
temperature-controlled room with walls covered with UV lights (GE 10526 and
10244). Prior to each experiment, we flushed the chamber overnight with
purified air under UV illumination to remove any residual particles and
gas-phase organics. We generated purified air by passing ambient air through
a high-efficiency particulate air (HEPA) filter to remove particles, an
activated carbon filter to remove any organics, a Purafil filter to remove
NO<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and finally a silica gel filter, keeping relative humidity (RH)
below 5 % in the chamber before each experiment.</p>
      <p id="d1e351">We pumped an ammonium sulfate solution (1 g L<inline-formula><mml:math id="M23" 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> into the chamber at
the beginning of each experiment through an atomizer (TSI, model 3076) at a
constant rate of 90 mL h<inline-formula><mml:math id="M24" 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> to produce droplets. The droplets passed
through a diffusion dryer and a neutralizer to produce dry ammonium sulfate
seed particles. We injected seeds with a number mode size of 110 nm until
they reached a number concentration of 2 <inline-formula><mml:math id="M25" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M27" 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>,
resulting in an initial seed mass concentration of around 40 <inline-formula><mml:math id="M28" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M29" 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 a surface area concentration of up to 1000 <inline-formula><mml:math id="M30" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M32" 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>.
Typical organic vapors with a molar weight of 250 g mol<inline-formula><mml:math id="M33" 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>
thus had an initial collision frequency with these seeds of 0.01 s<inline-formula><mml:math id="M34" 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>.
We injected <inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene (Sigma-Aldrich, <inline-formula><mml:math id="M36" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99 %) into the
chamber using a septum injector with purified air as carrier flow. We
generated ozone using a corona-discharge ozone generator (Azco, HTU500AC) to
initiate the ozonolysis reaction. We prepared a fresh HONO solution in a
bubbler by adding a 4.9 g L<inline-formula><mml:math id="M37" 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> sulfuric acid solution to a 6.9 g L<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:msup></mml:math></inline-formula>sodium nitrite solution. We then turned on the UV lights to start
the photodissociation of HONO, producing OH.</p>
      <p id="d1e521">At the end of each experiment, we injected additional ammonium sulfate seeds
into the chamber using the same method with a more concentrated solution (5 g L<inline-formula><mml:math id="M39" 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> in order to characterize the particle wall-loss rates a second
time.</p>
      <p id="d1e539">We added butanol-d9 (Cambridge Isotope Laboratories, 98 %) into the
chamber through the septum injector as an OH tracer before the reaction
started and used the method described in Barmet et al. (2012) to calculate
the OH produced by HONO photolysis. The OH concentration in these
experiments was around 2.4 <inline-formula><mml:math id="M40" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M42" 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> for the
first hour, then dropped to around 5 <inline-formula><mml:math id="M43" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M45" 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> afterwards. The introduction and photolysis of HONO produces hundreds of
parts per billion of NO<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and thus the aging reactions in this work occurred under
high-NO<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions; the majority of the peroxy radicals reacted with
NO during the aging phase of the experiments.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e621">Initial conditions of the <inline-formula><mml:math id="M48" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis aging
experiments.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene</oasis:entry>
         <oasis:entry colname="col3">O<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Initial seed</oasis:entry>
         <oasis:entry colname="col5">RH</oasis:entry>
         <oasis:entry colname="col6">OH<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M54" display="inline"><mml:mo lspace="0mm">×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">OH introduction time</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(ppb)</oasis:entry>
         <oasis:entry colname="col3">(ppb)</oasis:entry>
         <oasis:entry colname="col4">surface area</oasis:entry>
         <oasis:entry colname="col5">(%)</oasis:entry>
         <oasis:entry colname="col6">molecules</oasis:entry>
         <oasis:entry colname="col7">(h after <inline-formula><mml:math id="M56" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">cm<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">consumption)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">33</oasis:entry>
         <oasis:entry colname="col3">450</oasis:entry>
         <oasis:entry colname="col4">850</oasis:entry>
         <oasis:entry colname="col5">&lt; 20</oasis:entry>
         <oasis:entry colname="col6">2.4</oasis:entry>
         <oasis:entry colname="col7">0.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">14</oasis:entry>
         <oasis:entry colname="col3">600</oasis:entry>
         <oasis:entry colname="col4">760</oasis:entry>
         <oasis:entry colname="col5">&lt; 20</oasis:entry>
         <oasis:entry colname="col6">2.7</oasis:entry>
         <oasis:entry colname="col7">0.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">35</oasis:entry>
         <oasis:entry colname="col3">450</oasis:entry>
         <oasis:entry colname="col4">720</oasis:entry>
         <oasis:entry colname="col5">&lt; 20</oasis:entry>
         <oasis:entry colname="col6">2.0</oasis:entry>
         <oasis:entry colname="col7">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">16</oasis:entry>
         <oasis:entry colname="col3">500</oasis:entry>
         <oasis:entry colname="col4">950</oasis:entry>
         <oasis:entry colname="col5">&lt; 20</oasis:entry>
         <oasis:entry colname="col6">2.4<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">400</oasis:entry>
         <oasis:entry colname="col4">710</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M62" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50</oasis:entry>
         <oasis:entry colname="col6">2.7</oasis:entry>
         <oasis:entry colname="col7">0.8</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e631"><inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> The OH concentration was calculated using the decay
of butanol-d9 (monitored by PTRMS) (Barmet et al., 2012).
<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Estimated OH concentration for Exp. 4 based on the other
experiments. The PTRMS data were not available during that time for Exp. 4.</p></table-wrap-foot></table-wrap>

      <p id="d1e975"><?xmltex \hack{\newpage}?>We performed experiments at both a low RH of less than 20 % and an
intermediate RH of 50 %. To add water vapor to the chamber, we used a
stream of purified air to carry ultrapure water (Millipore water
purification system) in a bubbler into the chamber before the introduction
of seeds.</p>
      <p id="d1e979">We measured the particle size distribution using a TSI scanning mobility
particle sizer, SMPS (classifier model 3080; CPC model 3010 or 3772), with
flows adjusted to measure particle diameters in the 15–700 nm range. We
measured the particle composition and mass spectrum of the OA with an
Aerodyne high-resolution time-of-flight aerosol mass spectrometer
(HR-ToF-AMS). We monitored the concentrations of <inline-formula><mml:math id="M63" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and
butanol-d9 using a proton transfer reaction mass spectrometer (PTR-MS,
Ionicon), the ozone concentration using a Dasibi 1008 ozone monitor, and NO<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (NO <inline-formula><mml:math id="M65" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M66" 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> levels using a Teledyne API
NO<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> analyzer 200A. We held the chamber temperature
constant at 22 <inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C throughout all experiments. We list the initial
conditions of the experiments performed for this work in Table 1.</p>
</sec>
<sec id="Ch1.S3">
  <title>Data analysis</title>
<sec id="Ch1.S3.SS1">
  <title>SOA yields</title>
      <p id="d1e1047">The SOA mass yield, <inline-formula><mml:math id="M69" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula>, is a metric of the ability of a gaseous precursor to
form SOA and is defined as <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>Y</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">SOA</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>VOC, where <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">SOA</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the
produced SOA mass concentration (<inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M74" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>VOC the
amount of the VOC precursor (<inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene in this case) reacted (in <inline-formula><mml:math id="M76" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. To separate the effect of aging on SOA mass concentration, we
define a first-generation SOA mass yield, <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>VOC,
and a second-generation SOA mass yield, <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>VOC.
<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are the concentrations of SOA formed before and
after aging with hydroxyl radicals. All <inline-formula><mml:math id="M82" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene reacts away during
the first stage and thus <inline-formula><mml:math id="M83" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>VOC for the second stage is the same as
the initial <inline-formula><mml:math id="M84" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene concentration in the chamber.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Particle wall-loss correction</title>
      <p id="d1e1260">In this work, we try to reduce the uncertainties in the estimated SOA mass
concentration associated with the particle wall-loss correction. This
uncertainty can be significant due to two aspects of these aging
experiments: the evolution of the particle size distribution and the
duration of the experiments. In these aging experiments, where particles
grow by condensation and coagulation for several hours, the particle size
distribution can potentially shift, covering a wide size range over the
course of an experiment. Particle wall losses are size dependent, and this
shift can introduce significant errors if a constant loss rate constant is
assumed. To minimize these problems, we adopted a size-dependent particle
wall-loss correction method in which we determined the particle wall-loss rate
constant, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, at each particle size, <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p><?xmltex \hack{\newpage}?>
<?pagebreak page3592?><sec id="Ch1.S3.SS2.SSS1">
  <title>Determination of particle wall-loss rate constants</title>
      <p id="d1e1291">The size-dependent particle wall-loss correction method (Keywood et al.,
2004; Ng et al., 2007; Loza et al., 2012; Nah et al., 2016) adopted in this
work is based on the SMPS-measured particle size distribution. At each
particle size bin <inline-formula><mml:math id="M87" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> the first-order particle wall-loss rate constant
<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be determined as the slope of the following equation:
              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M89" display="block"><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mi>Q</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(t) is the SMPS-measured aerosol number concentration at size
bin <inline-formula><mml:math id="M91" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M92" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> is an arbitrary constant. Applying Eq. (1) across the entire
SMPS-measured particle size range, we obtain the particle wall-loss rate
constant function, <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e1390">To determine the <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profile, we utilized the initial 4 h
ammonium sulfate seed wall-loss period for each experiment. Since <inline-formula><mml:math id="M95" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> may also
vary with time (McMurry and Rader, 1985), we determined a second <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
profile for each experiment using the ammonium sulfate seed wall-loss period
at the end. It is important to ensure that the <inline-formula><mml:math id="M97" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>'s, especially at sizes at
which
the majority of SOA mass is distributed, remain the same over the course of
each experiment.</p>
      <p id="d1e1441">The <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values calculated (with an <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> &gt; 0.5)
based on SMPS measurements of the seed distribution from this work usually
only cover a particle size range of 30–300 nm due to the lack of particles at
either end of the particle size distribution. To determine the
<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 30 nm, we use a simple
log-linear fit of <inline-formula><mml:math id="M102" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>'s from 30 to 50 nm and back extrapolate it to 10 nm. To
determine <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 300 nm, we
assume that the constant is practically the same in the 300–700 nm range.
We confirmed this with additional seed-only experiments in which there were
enough particles at that size range (Wang et al., 2018). Significant increases in the rate loss constant are observed
for particles larger than 1 <inline-formula><mml:math id="M105" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m, while in our experiments the
particles remained smaller than 600 nm or so. A measure of the uncertainty of
these corrections is the variability in the corrected mass concentration
during the seed wall-loss periods as discussed in the next section. Details
regarding the wall-loss profiles in the CMU chamber and the execution of the
size-dependent particle wall-loss correction for this work can be found in
Wang et al. (2018).</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Correction of SMPS measurements</title>
      <p id="d1e1549">The corrected particle number concentration at each size bin <inline-formula><mml:math id="M106" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, can be calculated numerically,
              <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M108" display="block"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:msubsup><mml:mi>N</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msubsup><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mi>t</mml:mi></mml:munderover><mml:msubsup><mml:mi>N</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msubsup><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            from the measured values <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msubsup><mml:mi>N</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msubsup><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced></mml:mrow></mml:math></inline-formula> and the
<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> corresponding to the size bin <inline-formula><mml:math id="M111" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e1685">For closed systems in which coagulation is slow, the number concentration corrected for particle wall loss
should be constant. In order to evaluate how
well the correction works, we define the parameter <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>N</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is
the standard deviation of the number
concentration corrected for particle wall loss for the seed wall-loss periods and <inline-formula><mml:math id="M115" display="inline"><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> the average.
Similarly, we define <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula> based on the volume
concentration corrected for particle wall loss for the two seed wall-loss periods. Only when all four values,
<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for both the initial and the final
seed periods, are less than 5 % do we deem the particle wall-loss
correction valid for that individual experiment. Experiments in which these
criteria were not met were not included in the analysis.</p>
      <?pagebreak page3593?><p id="d1e1810">To calculate the mass concentration of the formed SOA, <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">SOA</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, during the
course of an experiment, we treated the aerosol
volume concentration corrected for particle wall loss <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> differently before and after its maximum, <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> . For

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M122" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>t</mml:mi><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="1em"/><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">SOA</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi>V</mml:mi><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">SOA</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>t</mml:mi><mml:mo>≥</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="1em"/><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">SOA</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mfenced close="]" open="["><mml:mrow><mml:mi>V</mml:mi><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>V</mml:mi><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">SOA</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the corresponding time at the maximum total aerosol volume concentration corrected for particle
wall loss. <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the
average seed volume concentration corrected for particle wall loss before the
beginning of each experiment. <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">SOA</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the SOA density, assumed to
be equal to 1.4 <inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M127" 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> (Kostenidou et al., 2007). Ideally,
<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> should equal to <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> after the reactions are completed and
particle wall loss is the only process after <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. However,
deviations of <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> are caused by the uncertainty associated
with
applying the size-dependent wall-loss corrections. By scaling <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with
<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>, we are distributing the impact of any potential fluctuations
in <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> evenly to both the seeds and the organics and thus obtain a more
stable <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">SOA</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> after aging.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Analysis of AMS measurements</title>
      <p id="d1e2168">The HR-AMS was operated in V mode during the experiments in this work.
Squirrel v1.56D was used to analyze the data. The atomic oxygen-to-carbon
ratio, O : C, was determined based on the unit–resolution correlation
described in Caragaratna et al. (2015). Nitrate signals were attributed to
organics since the only sources of them in these experiments are
organonitrates.</p>
      <p id="d1e2171">In an attempt to explore the functionalities and products that may have changed
during aging, we used the AMS high-resolution (HR) “family” analysis. We used
Pika 1.15D to analyze the HR data. Each fitted ion is grouped into a
family based on its chemical formula, and the families used are CH,
CHO, CHO<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, C<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, HO, and NO. These are the main components of the
organics formed, with the HO family calculated by subtracting the concentrations
of the other families from the total organic signal. This is necessary
because the fragmentation of sulfates can interfere with the HO family.
The NO family can be used to represent the organonitrates formed during the
aging phase of the experiments.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Results and discussion</title>
      <p id="d1e2199">The evolution of aerosol number concentration corrected for particle wall loss
during a typical experiment (Exp. 1) together with the SMPS raw measurements
are shown in Fig. 1. Prior to the ozonolysis, 18 000 cm<inline-formula><mml:math id="M139" 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> of ammonium
sulfate particles was added to the chamber as seeds. After a 4.5 h
wall-loss period, 8000 cm<inline-formula><mml:math id="M140" 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> of particles remained suspended, serving as
a
preexisting surface for condensation. At <inline-formula><mml:math id="M141" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M142" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0, ozone was added into the
chamber, reacting with <inline-formula><mml:math id="M143" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene to form condensable first-generation
products. The ozonolysis of <inline-formula><mml:math id="M144" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene has been found to produce OH
with a molar yield of approximately 0.7 (Paulson et al., 1998), which in our
experiments resulted in approximately one-third of the precursor reacting
with OH. An additional 100 cm<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> of particles was formed due to nucleation
at this time. Two doses of HONO were added into the chamber in this
experiment at <inline-formula><mml:math id="M146" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M147" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.4 h and <inline-formula><mml:math id="M148" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M149" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.3 h. HONO was allowed to mix
in the chamber and then the UV lights were turned on at <inline-formula><mml:math id="M150" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M151" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.8 h and
<inline-formula><mml:math id="M152" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M153" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.8 h to produce OH. At <inline-formula><mml:math id="M154" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M155" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.5 h, another 10 000 cm<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> of ammonium
sulfate particles was added into the chamber for a second 4 h long
determination of the <inline-formula><mml:math id="M157" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profile for this experiment.</p>
      <p id="d1e2371">The two <inline-formula><mml:math id="M159" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profiles determined from the initial seed wall-loss period
and the one at the end of the experiment are shown in Fig. 2. They agree
relatively well with small discrepancies at <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 50 nm. The
complete <inline-formula><mml:math id="M162" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profile used for the size-dependent particle wall-loss
correction is also shown.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e2427">SMPS-measured (black symbols) and size-dependent
particle-wall-loss-corrected (red symbols) aerosol number concentration
evolution during a typical experiment (Exp. 1). Ozone was added into the
chamber at time zero to initiate <inline-formula><mml:math id="M164" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis. The shaded
areas indicate that the chamber was dark. The dashed lines mark the beginning
and the end of the two times HONO were added. The increase in number
concentration at <inline-formula><mml:math id="M165" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M166" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.5 h is due to the injection of 5 g L<inline-formula><mml:math id="M167" 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>
of ammonium sulfate particles. An additional 100 cm<inline-formula><mml:math id="M168" 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> of particles was
formed due to nucleation at both the ozonolysis step and the aging step. Data
were not recorded from <inline-formula><mml:math id="M169" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M170" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 to <inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.4 h.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/3589/2018/acp-18-3589-2018-f01.png"/>

      </fig>

      <p id="d1e2510">As indicated in Fig. 1, the aerosol number
concentration corrected for particle wall loss remains relative level at <inline-formula><mml:math id="M173" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> &lt; 0 h and <inline-formula><mml:math id="M174" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> &gt; 3.5 h, with <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>N</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula> %  and
<inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>N</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> %, respectively. The aerosol volume concentration corrected for particle
wall loss (Fig. 3) at the initial
seed wall-loss period and that at the end had variabilities equal to
<inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>V</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">initial</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn></mml:mrow></mml:math></inline-formula> % and
<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>V</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">end</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula> %, respectively. All
parameters were less than 5 % and therefore the accuracy of the wall-loss
correction was acceptable.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e2612">SOA mass concentration and yields of the <inline-formula><mml:math id="M179" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis
aging experiments.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M184" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>OA</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M185" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[Org <inline-formula><mml:math id="M186" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf]</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M187" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">(%)</oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M189" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">(%)</oasis:entry>
         <oasis:entry colname="col6">(%)</oasis:entry>
         <oasis:entry colname="col7">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">37.7 <inline-formula><mml:math id="M191" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6</oasis:entry>
         <oasis:entry colname="col3">20.6 <inline-formula><mml:math id="M192" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9</oasis:entry>
         <oasis:entry colname="col4">48.8 <inline-formula><mml:math id="M193" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.0</oasis:entry>
         <oasis:entry colname="col5">26.7 <inline-formula><mml:math id="M194" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1</oasis:entry>
         <oasis:entry colname="col6">29.4 <inline-formula><mml:math id="M195" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.9</oasis:entry>
         <oasis:entry colname="col7">27.0 <inline-formula><mml:math id="M196" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">16.7 <inline-formula><mml:math id="M197" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9</oasis:entry>
         <oasis:entry colname="col3">21.5 <inline-formula><mml:math id="M198" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>
         <oasis:entry colname="col4">18.3 <inline-formula><mml:math id="M199" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0</oasis:entry>
         <oasis:entry colname="col5">23.5 <inline-formula><mml:math id="M200" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3</oasis:entry>
         <oasis:entry colname="col6">19.8 <inline-formula><mml:math id="M201" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.1</oasis:entry>
         <oasis:entry colname="col7">18.1 <inline-formula><mml:math id="M202" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">57.1 <inline-formula><mml:math id="M203" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3</oasis:entry>
         <oasis:entry colname="col3">29.4 <inline-formula><mml:math id="M204" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>
         <oasis:entry colname="col4">71.0 <inline-formula><mml:math id="M205" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6</oasis:entry>
         <oasis:entry colname="col5">36.2 <inline-formula><mml:math id="M206" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8</oasis:entry>
         <oasis:entry colname="col6">23.5 <inline-formula><mml:math id="M207" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6</oasis:entry>
         <oasis:entry colname="col7">19.1 <inline-formula><mml:math id="M208" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">16.8 <inline-formula><mml:math id="M209" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>
         <oasis:entry colname="col3">19.1 <inline-formula><mml:math id="M210" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>
         <oasis:entry colname="col4">20.8 <inline-formula><mml:math id="M211" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>
         <oasis:entry colname="col5">23.7 <inline-formula><mml:math id="M212" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8</oasis:entry>
         <oasis:entry colname="col6">24.0 <inline-formula><mml:math id="M213" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.3</oasis:entry>
         <oasis:entry colname="col7">21.9 <inline-formula><mml:math id="M214" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">22.2 <inline-formula><mml:math id="M215" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>
         <oasis:entry colname="col3">19.5 <inline-formula><mml:math id="M216" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>
         <oasis:entry colname="col4">25.4 <inline-formula><mml:math id="M217" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8</oasis:entry>
         <oasis:entry colname="col5">22.3 <inline-formula><mml:math id="M218" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>
         <oasis:entry colname="col6">20.5 <inline-formula><mml:math id="M219" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.7</oasis:entry>
         <oasis:entry colname="col7">21.2 <inline-formula><mml:math id="M220" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.4</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p id="d1e3141">The size-dependent particle wall-loss rate constant profile,
<inline-formula><mml:math id="M221" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, for Exp. 1. The black symbols are the rate constants
calculated based on the wall-loss process of the initial ammonium sulfate
seed particles from <inline-formula><mml:math id="M223" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M224" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M225" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.5 h to <inline-formula><mml:math id="M226" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M227" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 h, while the red open
symbols show those of the additional ammonium sulfate particles at the end from
<inline-formula><mml:math id="M228" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M229" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.5 h to <inline-formula><mml:math id="M230" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M231" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 8.5 h. The blue line is the fit determined.</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/3589/2018/acp-18-3589-2018-f02.png"/>

      </fig>

      <p id="d1e3234">The evolution of aerosol volume concentration corrected for particle wall loss for
Exp. 1 together with the corresponding SMPS raw measurements are shown in
Fig. 3. Particles grew from <inline-formula><mml:math id="M232" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M233" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 to 0.7 h and <inline-formula><mml:math id="M234" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M235" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.8 to 1 h due to vapor
condensation. The total aerosol volume peaked at <inline-formula><mml:math id="M236" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M237" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.7 h during the
first-generation oxidation and reached its maximum at <inline-formula><mml:math id="M238" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M239" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.1 h due to aging
during the second-generation oxidation. The change in volume during the
second addition of OH at 1.7 h was negligible.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p id="d1e3296">SMPS-measured (black symbols) and size-dependent particle-wall-loss-corrected (red symbols)
aerosol volume concentration evolution during a typical experiment (Exp. 1). Ozone was added
into the chamber at time zero to initiate <inline-formula><mml:math id="M240" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis. The
shaded areas indicate that the chamber was dark. The dashed lines mark the
beginning and the end of the two times HONO were added.
An amount of 5 g L<inline-formula><mml:math id="M241" 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> of ammonium sulfate particles was injected into the chamber at
<inline-formula><mml:math id="M242" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M243" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.5 h. Data were not recorded from <inline-formula><mml:math id="M244" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M245" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M246" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 to <inline-formula><mml:math id="M247" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.4 h.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/3589/2018/acp-18-3589-2018-f03.png"/>

      </fig>

      <p id="d1e3367">The SOA mass concentration evolution for Exp. 1 calculated using Eq. (3) is
shown in Fig. 4. The error bars are calculated using the highest
<inline-formula><mml:math id="M248" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> (in this case <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>V</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn></mml:mrow></mml:math></inline-formula> %). For this experiment, 37.7 <inline-formula><mml:math id="M250" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6 <inline-formula><mml:math id="M251" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M252" 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> of SOA was formed during ozonolysis. An
additional 11.1 <inline-formula><mml:math id="M253" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.6 <inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M255" 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> of SOA was formed during the first aging period. The SOA
reached 48.8 <inline-formula><mml:math id="M256" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M258" 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> after aging and remained
approximately constant until the end of the experiment. The total<?pagebreak page3594?> SOA
produced and the calculated SOA yields for all experiments are listed in
Table 2.</p>
      <p id="d1e3477">The AMS-derived atomic oxygen-to-carbon ratio (O : C) evolution for Exp. 1 is
shown together with the AMS-measured aerosol composition (assuming a unit collection efficiency, CE <inline-formula><mml:math id="M259" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1)
in Fig. 5. The increase in the sulfate signals at <inline-formula><mml:math id="M260" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M261" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 is caused by a
change in the instrument collection efficiency. Due to the uncertainty
caused by CE changes over the course of an experiment, we did not use the
absolute AMS-measured organic mass concentration for any quantitative
analysis. Using the algorithm derived by Kostenidou et al. (2007), we
calculated the CE to be <inline-formula><mml:math id="M262" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.25 for the initial seed period and
<inline-formula><mml:math id="M263" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.4 after the seeds were coated with organics. A quick check
comparing the two stepwise increases in the CE-corrected organic mass
concentration to those derived from SMPS revealed that the results from both
instruments agreed reasonably well. The algorithm also estimated that the SOA
density was 1.3 <inline-formula><mml:math id="M264" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15 g cm<inline-formula><mml:math id="M265" 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>, in good agreement with the Kuwata et
al. (2012) parameterization based on the measured O : C and H : C, which also
predicted 1.3 g cm<inline-formula><mml:math id="M266" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p id="d1e3549">The SOA mass concentration corrected for particle wall loss (<inline-formula><mml:math id="M267" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.4 g cm<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> evolution for Exp. 1 derived from SMPS
measurements. The corresponding error shown is due to the particle wall-loss
correction. Ozone was added into the chamber at time zero to initiate <inline-formula><mml:math id="M270" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis. The shaded areas indicate that the chamber was dark. The
dashed lines mark the beginning and the end of the two times HONO were added.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/3589/2018/acp-18-3589-2018-f04.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p id="d1e3596">The AMS-measured aerosol composition (CE <inline-formula><mml:math id="M271" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1) (left axis) and
the atomic oxygen-to-carbon ratio (right axis) evolving with time for Exp. 1.
The increase in the sulfate signal at <inline-formula><mml:math id="M272" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M273" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 is the result of a change
in the collection efficiency (CE). Ozone was added into the chamber at time
zero to initiate <inline-formula><mml:math id="M274" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis. The shaded areas indicate that
the chamber was dark. The dashed lines mark the beginning and the end of the
two times HONO were added.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/3589/2018/acp-18-3589-2018-f05.png"/>

      </fig>

      <p id="d1e3633"><?xmltex \hack{\newpage}?>The O : C is a collective measure for the ongoing chemistry during these aging
experiments. In Exp. 1, the O : C kept decreasing due to the freshly formed
semi-volatile SOA condensing onto particles from <inline-formula><mml:math id="M275" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M276" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 to 0.5 h. Later during
the dark period (<inline-formula><mml:math id="M277" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M278" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.5 to 0.8 h), the O : C ratio kept decreasing to 0.42
while the organic mass concentration stayed almost constant. This is
consistent with the ripening phenomenon, first observed during the
MUCHACHAS campaign, where the composition of the formed SOA keeps evolving
after <inline-formula><mml:math id="M279" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene has reacted while the change in SOA mass is minimal
(Tritscher et al., 2011). The nature of this process is not well understood,
but it probably involves heterogeneous reactions. After OH radicals were
generated in the chamber at <inline-formula><mml:math id="M280" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M281" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.8 h, the semi-volatile vapors were oxidized
to form second-generation products of lower volatility, resulting in an
increase of 0.02 in O : C in about 10 min. After <inline-formula><mml:math id="M282" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M283" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 h, the O : C remained
relatively constant but it started to decrease at <inline-formula><mml:math id="M284" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M285" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.25 h when the UV
lights were turned off. Since aging is a complex process that involves
fun<?pagebreak page3595?>ctionalization, fragmentation, and heterogeneous reactions, the trends in
O : C are indicative of the competition among these processes. The decrease we
observed here was associated with turning the UV lights off, and thus it is
likely that some chemistry was perturbed and thus the processes resulting in
decreasing O : C took over. The decrease in O : C associated with turning off
the UV lights was not consistent across the five experiments. This further
proves that this phenomenon is the result of several competing processes and
needs further investigation on a molecular level. An inflection point at
<inline-formula><mml:math id="M286" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M287" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.7 h was observed after a second dose of OH being introduced in the
chamber. Instead of the stepwise increase like the one observed after the
first dose of OH, the O : C increased slowly but steadily this time until the
end of the experiment to 0.45 with no significant increase in organic mass.
This is also quite consistent with what was observed in MUCHACHAS.</p>
      <p id="d1e3730">We used the organic-to-sulfate ratio (org <inline-formula><mml:math id="M288" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf) derived from AMS
measurements to look at the SOA formation in these experiments due to its
insensitivity to changes in CE. The org <inline-formula><mml:math id="M289" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf time series
for Exp. 1 is shown in Fig. 6. The ratio increased to 1.25 at <inline-formula><mml:math id="M290" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M291" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.7 h as
the result of the first-generation vapors condensing onto preexisting
particles. After we first turned on the UV lights, a stepwise increase in
the ratio was observed and reached the maximum value of 1.60 at <inline-formula><mml:math id="M292" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M293" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.1 h as
a result of the second-generation oxidation chemistry. After that, the ratio
kept decreasing. A small bump was observed after the second introduction of
OH and then the ratio kept decreasing. One possible explanation for this
continuous decrease is the effect of the size-dependent particle wall-loss
process. The faster removal of smaller particles (which contain more SOA
than sulfate) than that of the bigger ones (which have a lower SOA-to-sulfate ratio) can lead to a decrease in the overall org <inline-formula><mml:math id="M294" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf
ratio. Figure 7 shows the size dependence of the org <inline-formula><mml:math id="M295" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio, together with the
mass distribution of both organic and sulfate for Exp. 1. The org <inline-formula><mml:math id="M296" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf
ratio
decreased dramatically from 10 to 1 over the particle vacuum aerodynamic
diameter (<inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">va</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> range of 200–500 nm, indicating strong composition
dependence on particle size. Since the majority of the mass is distributed
in this range, the size-dependent particle wall-loss rate can contribute
significantly to the decrease observed in Fig. 6 after the org <inline-formula><mml:math id="M298" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio reached
its maximum.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e3820">The AMS-derived organic-to-sulfate ratio time series for Exp. 1. The
inset is a blowup of the org <inline-formula><mml:math id="M299" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio from its maximum until the
second time when the UV lights were turned on. The black symbols are the
org <inline-formula><mml:math id="M300" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio corrected for
particle wall loss during that half hour. Ozone was
added into the chamber at time zero to initiate <inline-formula><mml:math id="M301" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis.
The shaded areas indicate that the chamber was dark. The dashed lines mark
the beginning and the end of the two times HONO were added.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/3589/2018/acp-18-3589-2018-f06.png"/>

      </fig>

<sec id="Ch1.S4.SS1">
  <title>Effect of size-dependent losses on the organic-to-sulfate ratio</title>
      <p id="d1e3855">To quantify the effect of the size-dependence of the particle wall-loss
process on the org <inline-formula><mml:math id="M302" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio, we discretized the AMS-measured
mass distribution <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> into 10 bins in the particle
diameter space and defined a mass-weighted particle wall-loss rate constant
for each species <inline-formula><mml:math id="M304" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>k</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as
            <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M306" display="block"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>k</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi>j</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">10</mml:mn></mml:munderover><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">10</mml:mn></mml:munderover><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the aerosol mass concentration of species <inline-formula><mml:math id="M308" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> for size bin
<inline-formula><mml:math id="M309" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the averaged <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> across size bin <inline-formula><mml:math id="M312" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>. Note that the
particle diameter used in this section refers to the SMPS-measured mobility
equivalent diameter <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The particle vacuum aerodynamic diameters
derived from the AMS measurements have been converted to <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> using an SOA
density of 1.4 <inline-formula><mml:math id="M315" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M316" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p id="d1e4076">The dependence of the AMS-derived organic-to-sulfate ratio on
particle vacuum aerodynamic diameter for Exp. 1 (left axis). Also shown are
the AMS-measured organic (green) and sulfate (red) mass distribution (right
axis). The results are based on PToF data averaged over <inline-formula><mml:math id="M317" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.5 h
(<inline-formula><mml:math id="M318" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M319" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.1 to 3.5 h).</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/3589/2018/acp-18-3589-2018-f07.png"/>

        </fig>

      <?pagebreak page3596?><p id="d1e4106">From Eq. (4) we are able to determine a mass-weighted particle wall-loss rate
constant for sulfate, <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>k</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and for organics,
<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>k</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">Org</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. For the period after completion of the reactions and if
there are only particle losses to the walls, the org <inline-formula><mml:math id="M322" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio should
satisfy
            <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M323" display="block"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="normal">org</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">sulf</mml:mi></mml:mrow></mml:mfenced><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">org</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">sulf</mml:mi></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced><mml:mi mathvariant="normal">exp</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>k</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mover accent="true"><mml:mi>k</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">Org</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mi>t</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">org</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">sulf</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the
AMS-measured and <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">org</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">sulf</mml:mi><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> the
loss-corrected org <inline-formula><mml:math id="M326" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio.</p>
      <p id="d1e4266">We can test if indeed the particle wall losses are responsible for the
decreasing ratio in Exp. 1 focusing on the period from <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula> h
to <inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula> h (Fig. 6). In this example <inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> corresponds to the
maximum org <inline-formula><mml:math id="M330" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio and <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the second time in which the UV lights were
turned on. Applying Eq. (4), we found the mass-weighted particle wall-loss
rate constant for organics, <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>k</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">Org</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> h<inline-formula><mml:math id="M333" 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 for sulfate,
<inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>k</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> h<inline-formula><mml:math id="M335" 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>. The black line in the inset graph of
Fig. 6 indicates the org <inline-formula><mml:math id="M336" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio corrected for particle wall loss for the chosen
time period using Eq. (5). The loss-corrected ratio remained relatively
constant, indicating that the size-dependent particle wall-loss process
coupled with the different size distributions of the sulfate and organics
were causing the decrease in the ratio. This exercise was repeated for the
other experiments, arriving at the same conclusion.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Effect of chemical aging on additional SOA formation</title>
      <p id="d1e4406">To quantify aging effects based on the SMPS measurements, we define the
fractional change in the SOA mass concentration corrected for particle wall loss
after aging, <inline-formula><mml:math id="M337" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[OA], as
            <disp-formula id="Ch1.E6" content-type="numbered"><mml:math id="M338" display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OA</mml:mi><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">UV</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">UV</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the aerosol mass
concentration corrected for particle wall loss at the time when we first turned on the UV lights.
<inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">UV</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> can be equal to <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> depending on how level the
first-generation SOA mass concentration remains after wall-loss correction. Figure 8 summarizes the <inline-formula><mml:math id="M342" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[OA] for all five experiments with the values and corresponding errors listed in
Table 2. The OH exposure resulted in an average increase of 24 <inline-formula><mml:math id="M343" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 % in SOA mass concentration after aging, ranging from 20 to
29 %. Our HONO injection method creates OH levels of about 2.4 <inline-formula><mml:math id="M344" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M345" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M346" 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> for the first hour and then the concentration
dropped to around 5 <inline-formula><mml:math id="M347" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M348" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M349" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The OH exposure
is equivalent to 2–4 days of typical atmospheric oxidation conditions,
assuming an OH concentration of 2 <inline-formula><mml:math id="M350" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M351" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M352" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
The uncertainties displayed in Fig. 8 were propagated from uncertainties in
the SOA mass concentration.</p>
      <?pagebreak page3597?><p id="d1e4618">To quantify aging effects based on the AMS data, we define the fractional
change in the org <inline-formula><mml:math id="M353" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M354" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">org</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">sulf</mml:mi><mml:mo>]</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">org</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">sulf</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">org</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">sulf</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">UV</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>/</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>[</mml:mo><mml:mi mathvariant="normal">org</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">sulf</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where [org <inline-formula><mml:math id="M355" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf]<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">UV</mml:mi></mml:msub></mml:math></inline-formula> refers to the org <inline-formula><mml:math id="M357" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio at the time when we first turned on
the UV lights, [org <inline-formula><mml:math id="M358" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf]<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> the maximum before we first turned on the UV
lights, and [org <inline-formula><mml:math id="M360" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf]<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> the maximum after the OH exposure. Figure 8 summarizes the <inline-formula><mml:math id="M362" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[org <inline-formula><mml:math id="M363" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf] calculated for all five experiments with the values and corresponding errors
listed in Table 2. The uncertainties are based on the deviation between the
measured and the corrected org <inline-formula><mml:math id="M364" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf (Fig. 6 inset) over the chosen time
period. An associated error is calculated for
[org <inline-formula><mml:math id="M365" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf]<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">UV</mml:mi></mml:msub></mml:math></inline-formula>, [org <inline-formula><mml:math id="M367" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf]<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> and [org <inline-formula><mml:math id="M369" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf]<inline-formula><mml:math id="M370" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The reported error
for <inline-formula><mml:math id="M371" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[org <inline-formula><mml:math id="M372" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf] in Table 2 is the propagated results of the three.
For experiments in this work, the percent increase in org <inline-formula><mml:math id="M373" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf
ratios ranged from 18 to 27 % with an average increase of 21 <inline-formula><mml:math id="M374" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4 %. The values are fairly consistent with the SMPS-derived <inline-formula><mml:math id="M375" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[OA].</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p id="d1e4874">SMPS-derived percent change in the SOA
(red columns) mass concentration corrected for particle wall loss after aging and AMS-derived percent change
in organic-to-sulfate ratio (blue columns) after aging for all five
experiments.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/3589/2018/acp-18-3589-2018-f08.png"/>

        </fig>

<sec id="Ch1.S4.SS2.SSS1">
  <title>Role of RH</title>
      <p id="d1e4888">Experiment 5, performed at the intermediate RH of 50 %, resulted in a
comparable change in SOA formation after aging as experiments at a lower RH
(Fig. 8). In this experiment, the increase in the org <inline-formula><mml:math id="M376" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio after aging
was 21.2 %, 1.5 % higher than the average <inline-formula><mml:math id="M377" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[org <inline-formula><mml:math id="M378" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf] of
Exps. 2–4. <inline-formula><mml:math id="M379" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[OA] for Exp. 5 was 20.5 %, about 2 % lower than the
average <inline-formula><mml:math id="M380" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[OA] of Exps. 2–4. The effect of RH on the SOA
formation during chemical aging, at least for these conditions, appears to
be small.</p>
</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <title>Role of organic vapor loss to the Teflon walls</title>
      <p id="d1e4933">For chamber SOA experiments with preexisting particles, the particles act as
a competing surface against the chamber walls. We calculated the condensation
sink (CS) of particles using the method described in Trump et al. (2014) with
a unit accommodation coefficient, consistent with recent findings (Julin et
al., 2014; Palm et al., 2016). The calculated CS in the form of timescale for
vapors condensing onto particles (1 <inline-formula><mml:math id="M381" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> CS) for Exp. 1 is shown in Fig. 9.
During the entire experiment, the timescale for vapors to condense onto
particles remained less than a minute. Compared to the organic vapor
wall-loss timescale of 15 min in the CMU chamber (Ye et al., 2016a), the
vapors condense onto the particles 15 times faster than onto the walls. This
corresponds to a 6.3 % loss of the semi-volatile vapors to the walls.
Assuming the yields for the experiments conducted in this work also increase
by 6.3 %, the absolute yields should be increased by 1–3 % after
accounting for the vapor wall-loss effect. This approach is a conservative
estimation of vapor wall loss, and yet the results are consistent with what
we observed from the measurements. As indicated in Fig. 6, the org <inline-formula><mml:math id="M382" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf
ratio stayed practically constant after its first peak at <inline-formula><mml:math id="M383" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M384" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.7 h
until the introduction of OH. This is consistent with the fact that the
semi-volatile organic compounds (SVOCs) formed in our system only accounted
for a small fraction of the products. Ye et al. (2016b) studied the SVOCs
formed in the <inline-formula><mml:math id="M385" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis system and found 20 % SVOCs in
the products formed from experiments with moderate precursor concentration
(<inline-formula><mml:math id="M386" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene <inline-formula><mml:math id="M387" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 75 ppb). They also observed that the SVOC fraction
increased with increased amounts of reacted <inline-formula><mml:math id="M388" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene. Since the
reacted <inline-formula><mml:math id="M389" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene in our experiments was less than 35 ppb, our
observation of a small amount of SVOCs forming is also consistent with their
results.</p>
      <p id="d1e5000">The situation is a little more complex for the second-generation oxidation
because material with higher volatilities that could have become SOA was
lost during the time after the end of the first phase and before the
beginning of the second. To address this issue, OH radicals were introduced
about an hour earlier in Exp. 1 as compared to the rest of the experiments.
A shorter timescale ensures the first-generation vapor products react
efficiently with OH instead of interacting with the chamber walls as in the
case of longer timescales. There was an increase of 27 % in the org <inline-formula><mml:math id="M390" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio in
this experiment after aging, 7 % more than the average of the other four
experiments. <inline-formula><mml:math id="M391" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[OA] for Exp. 1 was 29.4 %, about 7.5 % higher
than the average of the other four experiments. If we attribute this 7 %
difference purely to the vapor wall-loss effect, then we estimate that vapor
losses can increase the additional SOA formation by roughly another 10 %
for the experiments conducted in this work.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p id="d1e5019">The calculated condensation sink (CS) in the form of timescale for
vapors condensing onto particles (1 <inline-formula><mml:math id="M392" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> CS). Ozone was added into the
chamber at time zero to initiate <inline-formula><mml:math id="M393" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis. The shaded
areas indicate that the chamber was dark. The dashed lines mark the beginning
and the end of the two times HONO were added.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/3589/2018/acp-18-3589-2018-f09.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<?pagebreak page3598?><sec id="Ch1.S4.SS3">
  <title>Effect of chemical aging on aerosol composition</title>
      <p id="d1e5051">Figure 10 summarizes the absolute increase in O : C after the two doses of OH, with the corresponding exposure required to achieve the
increase. As we discussed above using Exp. 1 as an example, the O : C in all
experiments showed a stepwise increase after the first OH introduction while
it grew continuously after the second OH introduction until the end of the
experiment. For these five experiments, it took 10–30 min for the O : C to
increase by 0.02–0.04. The stepwise increase in O : C is caused by the rapid
reactions between the first-generation vapor products and the OH. One of the
major products identified in the gas phase from the <inline-formula><mml:math id="M394" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene
ozonolysis system, pinonaldehyde, reacts with OH at a rate of 3.5 <inline-formula><mml:math id="M395" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M396" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M397" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M398" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M399" 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> (Davis et al., 2007). During
the first hour of OH introduction, the OH concentration remains, on average,
at a steady state of <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molecule cm<inline-formula><mml:math id="M401" 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 quick
estimation of <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub><mml:mfenced open="[" close="]"><mml:mi mathvariant="normal">OH</mml:mi></mml:mfenced></mml:mrow></mml:math></inline-formula> gives a timescale of approximately
16 min, which is consistent with what we observed in these experiments.</p>
      <p id="d1e5159">The second exposure corresponds to the period until the end of each
experiment. The increase in O : C of 0.01 to 0.04 during this stage clearly
indicates change in SOA composition, however, paired with minimum change in
SOA mass. Although gas-phase reactions can contribute to these observed
changes in O : C, the corresponding condensation of the products should also
result in a detectable increase in SOA concentration during the same period.
Given that changes in SOA concentration could not be detected, the
contribution of gas-phase oxidation was probably small. In addition, we
observed small quantities of SVOCs forming in our system as discussed above.
The significant change in O : C without corresponding increase in SOA mass
concentration was likely caused by heterogeneous reactions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p id="d1e5164">The absolute increase in O : C after the two doses of OH, with the corresponding exposure. The solid red columns are the
increase in O : C after the first introduction of OH, with the
corresponding exposure on the bottom axis. The hatched columns are the
increase in O : C after the second introduction of OH, with the
corresponding exposure on the top axis.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/3589/2018/acp-18-3589-2018-f10.png"/>

        </fig>

      <p id="d1e5173">Based on the HR family analysis results, the less-oxidized ion family CH
decreased around 10 % during the aging process (i.e., from 41.9 to
38.1 % of the OA in Exp. 1 and from 40.5 to 35.3 % in Exp. 2)
while the more oxidized CHO<inline-formula><mml:math id="M403" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increased 4 % in Exp. 1 (from 12.8
to 13.3 %) and 16 % in Exp. 2 (from 14.9 to 17.3 %). The
changes in the CHO family were <inline-formula><mml:math id="M404" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4 % in Exp. 1 and <inline-formula><mml:math id="M405" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6 % in Exp. 2, suggesting that there was both production and destruction of the
corresponding family members. The concentration of organonitrates was, as
expected, close to zero initially in these experiments. At the end of the
aging process, the NO family represented 3–3.5 % of the OA.</p>
      <p id="d1e5200">CO<inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44) from the CHO<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> family and C<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M411" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>
(<inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 43) from the CHO family are usually identified in aged and relatively fresh
aerosols, respectively. Their fractions of the total organics, <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, have been used as chemical indicators in chamber experiments
(Donahue et al., 2012). During the dark ozonolysis period of Exp. 1 (Fig. S2 in the Supplement), the <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increased initially and stayed practically constant after
<inline-formula><mml:math id="M416" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M417" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.2 h, while <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decreased. After the first introduction of OH, both
<inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> showed a stepwise increase. After the second
introduction of OH, <inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decreased while <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increased over time
until the end of the experiment, indicating that the SOA was becoming
progressively more oxidized during aging. During Exp. 2 (Fig. S4), <inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
increased sharply initially and then slowly decreased during the dark
ozonolysis period. This is consistent with the ripening effect observed
during the MUCHACHAS campaign (Donahue et al., 2012). Overall, <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">43</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
decreased while <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increased over the course of Exp. 2, indicating
that the initially formed SOA was becoming more oxidized during aging.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <title>Comparison with other studies</title>
      <p id="d1e5419">Overall, the results from our chamber experiments in this work are
consistent with those from the MUCHACHAS chambers. After adopting a
size-dependent particle wall-loss correction method, we observed 20–30 %
additional SOA formation after aging. Vapor wall-loss effect can account for
an additional 10 %, increasing the range to 20–40 %. The O : C presented
a stepwise increase of 0.02–0.04 after the first introduction of OH and
then increased gradually over time after the second introduction of OH.</p>
      <p id="d1e5422">During the MUCHACHAS campaign, mixtures of SOA and gas-phase products formed
in the Paul Scherrer Institute (PSI) 27 m<inline-formula><mml:math id="M426" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> Teflon chamber from low (10 ppb) and high (40 ppb) initial <inline-formula><mml:math id="M427" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene concentration were exposed
to OH by TME ozonolysis and HONO photolysis at an RH of approximately 50 % (Tritscher et al., 2011). An OH concentration of 2 <inline-formula><mml:math id="M428" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M429" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> to
10 <inline-formula><mml:math id="M430" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M431" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M432" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was maintained for up to 4 h.
The authors reported an additional 50 % SOA mass forming after aging
using the first-order, size-independent particle wall-loss correction for
the suspended<?pagebreak page3599?> organic mass concentration measured with an AMS. An increase of
0.04 in the oxygen-to-carbon ratio was also observed during aging.</p>
      <p id="d1e5486">In the 84.5 m<inline-formula><mml:math id="M433" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> Aerosol Interaction and Dynamics in the Atmosphere
(AIDA) aluminum chamber at Karlsruhe Institute of Technology, an OH
concentration of 2 <inline-formula><mml:math id="M434" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M435" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> to 10 <inline-formula><mml:math id="M436" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M437" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M438" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was used with a constant flow of TME (dark aging). The authors
observed an increase of 17–55 % in the SMPS-derived SOA mass
concentration (density corrected) after aging during four experiments with an
initial <inline-formula><mml:math id="M439" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene concentration ranging from 14 to 56 ppb (Salo et
al., 2011). In the 270 m<inline-formula><mml:math id="M440" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> simulation of atmospheric photochemistry in a
large reaction (SAPHIR) Teflon chamber at Forchungzentrum Jülich, SOA
and vapors generated from the ozonolysis of 40 ppb <inline-formula><mml:math id="M441" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene were aged
for 3 consecutive days with OH produced by ambient light chemistry. An
OH concentration of 2–5 <inline-formula><mml:math id="M442" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M443" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M444" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was
maintained and 9, 4, and 1 % additional SOA was formed after aging each day. These values were corrected for particle
wall loss using different wall-loss rate constants determined during
different periods of the experiment.</p>
      <p id="d1e5595">Our result of 20–40 % additional SOA formation due to aging is well
within the range of that from the chambers above. The difference in the
results from each chamber could potentially be attributed to different OH
exposure (e.g., a constant flow of HONO or TME was provided in the PSI
chamber). Other plausible explanations include whether the reported values
were particle wall-loss corrected and whether the same method was adopted
for the correction.</p>
      <p id="d1e5599">For the HONO aging experiment performed in the CMU chamber during the
MUCHACHAS campaign, Henry and Donahue (2012) suggested a potentially strong
photolysis effect based on decreasing org <inline-formula><mml:math id="M445" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio derived from
the AMS measurements. In our experiments, the org <inline-formula><mml:math id="M446" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio was
affected by the size-dependent wall-loss process. Both the AMS-measured
org <inline-formula><mml:math id="M447" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> sulf ratio and the SMPS-measured OA remained relatively
constant after correcting for the size dependence of the particle–wall
process in these experiments. We thus conclude that minimum photolysis was
observed for our experiments.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e5631">With an OH exposure equivalent to 2–4 days of typical atmospheric oxidation
conditions, the OH aging of the <inline-formula><mml:math id="M448" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis products formed
20–40 % additional SOA mass for the experimental conditions used in this
work. Elevated RH up to 50 % has a minimum effect on SOA production due to
aging. We have constrained the aging effects on additional SOA formation
quantitatively using both SMPS and AMS measurements.</p>
      <p id="d1e5641">A more oxygenated product distribution was observed after aging. A stepwise
increase of 0.02–0.04 in O : C was observed within half an hour after the
first introduction of OH. After the second-generation products were exposed
to additional OH, the O : C grew continuously until the end of the experiments
with an absolute increase of up to 0.04. During this period, minimum SOA
production was observed. We attribute this phenomenon to condensed-phase
reactions. Further investigation on a molecular scale is needed.</p>
      <p id="d1e5644">This work explored the additional SOA formation potential of the <inline-formula><mml:math id="M449" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene ozonolysis products under high-NO<inline-formula><mml:math id="M450" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions. The aging timescale of this study of a few days corresponds to the atmospheric lifetime of
the corresponding aerosol. The additional formation of SOA observed here is
clearly non-negligible but is also much less than the doubling or tripling
of the SOA that has been assumed in a few modeling studies (Lane et al.,
2008),
which resulted in overprediction of the biogenic SOA. The present results
can be used for the improvements of the currently used parameterizations for
the aging of <inline-formula><mml:math id="M451" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene SOA products in CTMs.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e5674">The data from this work
are available upon request to Spyros N. Pandis
(spyros@chemeng.upatras.gr).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e5677">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-18-3589-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-18-3589-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="competinginterests">

      <p id="d1e5686">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5692">The work was funded by the EPA STAR grant 835405 and the EUROCHAMP-2020 EU
project.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: James B. Burkholder<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
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<abstract-html><p>Secondary organic aerosol (SOA) formation from
volatile organic compounds (VOCs) in the atmosphere can be thought of as a
succession of oxidation steps. The production of later-generation SOA via
continued oxidation of the first-generation products is defined as chemical
aging. This study investigates aging in the <i>α</i>-pinene ozonolysis
system with hydroxyl radicals (OH) through smog chamber experiments. The
first-generation <i>α</i>-pinene ozonolysis products were allowed to react
further with OH formed via HONO photolysis. After an equivalent of 2–4 days
of typical atmospheric oxidation conditions, homogeneous OH oxidation of the
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in the SOA for the experimental conditions used in this work. A more
oxygenated product distribution was observed after aging based on the
increase in aerosol atomic oxygen-to-carbon ratio (O&thinsp;:&thinsp;C) by up to 0.04.
Experiments performed at intermediate relative humidity (RH) of 50&thinsp;%
showed no significant difference in additional SOA formation during aging
compared to those performed at a low RH of less than 20&thinsp;%.</p></abstract-html>
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