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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-20-12515-2020</article-id><title-group><article-title>Large contribution of organics to condensational growth and formation of cloud condensation nuclei (CCN) <?xmltex \hack{\break}?> in the remote marine boundary layer</article-title><alt-title>Organics contribute to CCN formation through condensational growth</alt-title>
      </title-group><?xmltex \runningtitle{Organics contribute to CCN formation through condensational growth}?><?xmltex \runningauthor{G. Zheng et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Zheng</surname><given-names>Guangjie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8103-2594</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Kuang</surname><given-names>Chongai</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Uin</surname><given-names>Janek</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2001-0508</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Watson</surname><given-names>Thomas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Wang</surname><given-names>Jian</given-names></name>
          <email>jian@wustl.edu</email>
        <ext-link>https://orcid.org/0000-0002-2815-4170</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Center for Aerosol Science and Engineering, Department of Energy,
Environmental and Chemical Engineering, <?xmltex \hack{\break}?> Washington University in St. Louis, St. Louis,  Missouri, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Environmental and Climate Science Department, Brookhaven National
Laboratory, Upton, New York, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jian Wang (jian@wustl.edu)</corresp></author-notes><pub-date><day>1</day><month>November</month><year>2020</year></pub-date>
      
      <volume>20</volume>
      <issue>21</issue>
      <fpage>12515</fpage><lpage>12525</lpage>
      <history>
        <date date-type="received"><day>23</day><month>June</month><year>2020</year></date>
           <date date-type="rev-request"><day>3</day><month>July</month><year>2020</year></date>
           <date date-type="rev-recd"><day>31</day><month>August</month><year>2020</year></date>
           <date date-type="accepted"><day>8</day><month>September</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 </copyright-statement>
        <copyright-year>2020</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e127">Marine low clouds strongly influence global climate, and their radiative
effects are particularly susceptible to the concentration of cloud
condensation nuclei (CCN). One major source of CCN is the condensational growth
of pre-CCN particles, and sulfate has long been considered the major
condensing species in the remote marine boundary layer. While some studies
have suggested that secondary organic species can contribute to particle
growth, its importance remains unclear. Here we present the first long-term
observational evidence that organics play an important role in particle
growth over remote oceans. To the contrary of traditional thinking, sulfate
dominated condensational growth for only a small (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> %)
fraction of the 62 observed growth events, even fewer than the
organic-dominated events (24 %). During most (58 %) growth events, the
major condensing species included both organics and sulfate. Potential
precursors of the secondary organics are volatile organic compounds from
ocean biological activities and those produced by the air–sea interfacial
oxidation. Our results indicate that the condensation of secondary organics
contributes strongly to the growth of pre-CCN particles and thereby the CCN
population over remote oceans.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e149">Marine low clouds play an important role in the global climate system (Wood, 2012), and their properties and radiative effects are very
sensitive to the concentration of cloud condensation nuclei (CCN)
(Carslaw et al., 2013; Rosenfeld et al., 2019). Condensational growth of
pre-CCN particles (i.e., particles that are too small to form cloud
droplets)  (Hoppel et al., 1990; Pierce and Adams, 2006) is one major
source of CCN in the remote marine boundary layer (MBL)  (Pierce and Adams,
2006; Yu and Luo, 2009; Sanchez et al., 2018) and is likely the dominant
one in late spring to fall  (Zheng et al.,
2018). Over open ocean, dimethyl sulfide (DMS) is the dominant biogenic
volatile organic compound (VOC). The major oxidation products of DMS are
sulfur dioxide (<inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and methanesulfonic acid (MSA) (Andreae et al., 1985). Further oxidation of
<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produces sulfuric acid (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), which readily condenses
onto existing particles and participates in the formation of new particles (Kulmala et al., 2000). It has long been recognized that sulfate
produced from DMS oxidation is a major species for particle condensational
growth in the remote marine environment  (Charlson et al., 1987; Raes and
Van Dingenen, 1992; Pandis et al., 1994; O'Dowd et al., 1999; Sanchez et
al., 2018). Earlier studies (Willis et al., 2016; Kerminen and Wexler,
1997; Karl et al., 2011) suggest that MSA may also contribute to the growth
of pre-CCN particles and thus the formation of CCN. However, the effect of
MSA condensation on marine CCN concentration remains unclear. Model-simulated effects range from negligible (e.g., a few percent) to significant
(<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> %), depending on the assumption of MSA volatility and
the geographic location  (Hodshire et al., 2019).</p>
      <p id="d1e200">It has been suggested that in the remote MBL, secondary organics produced
from two types of non-DMS VOCs can<?pagebreak page12516?> contribute substantially to particle
condensational growth. The first type of VOCs, including isoprene,
monoterpenes, and aliphatic amines  (Facchini et al., 2008; Dall'Osto et
al., 2012; Willis et al., 2017), is related to ocean biological activities,
and secondary organic aerosol (SOA) produced from these VOCs are positively correlated with MSA
(Dall'Osto et al., 2012; Willis et al., 2016, 2017; Kim et al., 2017). While the mixing ratios of isoprene and monoterpenes are
typically quite low over open ocean  (Hu et al., 2013) due to their
weak emissions, on rare occasions, elevated monoterpene mixing ratios of up to
<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ppt were observed  (Kim et al.,
2017), possibly due to enhanced microorganism growth as a result of nutrient
replenishment  (Kim et al., 2017). The second type of
VOCs is produced by the oxidation reactions at the air–sea interface,
especially when the sea surface microlayer is enriched in organic
surfactants (Mungall et al., 2017; Brüggemann et al., 2018). These
water-soluble organics can come from phytoplankton but can also be from
other sources, including other autotrophs and atmospheric depositions
(Wurl et al., 2011). Therefore, this type of oceanic VOCs and
thus SOA formed may not correlate with MSA (Wurl et al., 2011; Mungall et
al., 2017; Brüggemann et al., 2018).</p>
      <p id="d1e213">At present, the contribution of secondary organics to the growth of pre-CCN
particles in the MBL and the seasonal variation of this contribution remain
unclear, largely due to the scarcity of pre-CCN particle composition
measurements. Previous studies of pre-CCN growth in the MBL were typically
within relatively short time periods (i.e., about 1 month) (Dall'Osto et
al., 2012; Willis et al., 2016, 2017; Kim et al., 2017; Mungall et al., 2017;
Vaattovaara et al., 2006; Modini et al., 2009; Bzdek et
al., 2014; Lawler et al., 2014; Swan et al., 2016) and were often conducted
in coastal regions  (Vaattovaara et al., 2006; Modini et al., 2009;
Dall'Osto et al., 2012; Bzdek et al., 2014; Lawler et al., 2014; Swan et
al., 2016) with substantial influences from continental emissions. Here we
present the first long-term observational constraint on the importance of
secondary organics to the growth of pre-CCN particles in the remote MBL.
Hygroscopicity of size-classified particles was characterized over a period
of 14 months in the Eastern North Atlantic. By taking advantage of the
contrasting hygroscopicity values of sulfate, MSA, and other secondary
organic species, we constrain and identify the major species that are
responsible for the growth of pre-CCN particles. Our results show that the
organics represent an important or even dominant condensing species
during <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> % of growth events.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Measurements and datasets</title>
      <p id="d1e234">The Eastern North Atlantic (ENA) atmospheric observatory was established by
the Atmospheric Radiation Measurement (ARM) Climate Research Facility
(<uri>https://www.arm.gov/capabilities/observatories/ena</uri>, last access: 15 October 2020) in October 2013. This remote oceanic site, located on Graciosa Island, the Azores, Portugal
(39<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula><inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">5</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">30</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> N, 28<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula><inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">1</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">32</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> W; 30.48 m above mean sea
level) (Mather and Voyles, 2013), straddles the boundary between
the subtropics and midlatitudes in the Eastern North Atlantic. The ENA is a
region of persistent but diverse marine low clouds, the albedo and
precipitation of which are highly susceptible to perturbations of aerosol
properties  (Wood, 2012; Carslaw et al., 2013). Air masses arriving
at this site can originate from North America, northern Europe, the Arctic,
and the Atlantic  (Wood et al., 2015; Wang et al., 2016; Zheng et al.,
2018). Routine measurements at the ENA site include meteorological
parameters, trace gas mixing ratios, and aerosol and cloud properties (Zheng et al., 2018). The relevant routine
measurements used in this study are summarized in Sect. 2.3.</p>
      <p id="d1e294">From June 2017 to August 2018, the Aerosol and Cloud Experiments in the
Eastern North Atlantic (ACE-ENA) campaign (Wang et al., 2016) was
conducted in the Azores to investigate the aerosol–cloud interactions in the
remote marine boundary layer (MBL). As a key part of this campaign,
additional aerosol measurements were carried out at the ENA site, including
aerosol size distribution and size-resolved CCN activated fractions (Mei
et al., 2013b; Thalman et al., 2017). The instruments and calibration
procedures are detailed elsewhere (Zheng et al., 2020) and
are briefly described below. The data from these measurements are available
at <uri>https://www.arm.gov/research/campaigns/aaf2017ace-ena</uri> (last access: 15 October 2020).</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Size distribution measurements and mode fittings</title>
      <p id="d1e307">Aerosol size distribution was measured by a scanning mobility particle
sizer (SMPS; Model 3938, TSI Incorporated, Shoreview, MN, USA). Dry (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mi mathvariant="normal">RH</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> %) aerosol number size distribution ranging from 10 to 470 nm
in particle diameter was measured every 8 min. In addition, a
condensation particle counter (CPC; Model 3772, TSI Incorporated, Shoreview,
MN, USA) was operated side-by-side to measure the total aerosol number
concentrations (CN) concurrently. The measured aerosol number size
distributions are fitted as a sum of up to three lognormal modes. Based on
the fitted mode geometric mean diameters (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the fitted modes are
classified as the nucleation mode (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> nm), the Aitken
mode (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> nm), the
accumulation mode (<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> nm), and the sea spray aerosol mode (<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> nm) (Quinn et al., 2017; Zheng et al., 2018).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Size-resolved CCN activated fraction measurements</title>
      <p id="d1e445">The size-resolved CCN measurement system (SCCN) consists of a differential
mobility analyzer (DMA; TSI Inc., Model 3081) coupled to a CPC (TSI Inc.,
Model 3010) and a cloud condensation nuclei counter (CCNC; Droplet
Measurement Technologies, Boulder, CO) (Frank et al., 2006; Moore et al.,
2010; Petters et al., 2007; Mei et al., 2013a).<?pagebreak page12517?> This system measures the
activated fraction (i.e., the fraction of particles that activate and form
cloud droplets) of size-classified particles as a function of
supersaturation (Thalman et al., 2017).
During the ACE-ENA campaign, the DMA stepped through six dry particle
diameters (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of 40, 50, 75, 100, 125, and 150 nm. At each
<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, the supersaturation level inside the CCNC was varied by
changing the flow rate and/or temperature gradient <inline-formula><mml:math id="M20" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>. The corresponding
supersaturation levels, ranging from 0.07 % to 1.34 % at 298 K, were
calibrated using ammonium sulfate particles following established procedures
(Lance et al., 2013; Mei et al., 2013a; Thalman et al., 2017). An entire
measurement cycle through the six particle diameters took between
1 and 2 h, depending on particle number concentration.
Temperature dependence of CCNC supersaturation  (Rose et al., 2008;
Thalman et al., 2017) and the effect of multi-charged particles (Thalman et al., 2017)
are taken into consideration. The particle hygroscopicity parameter under
supersaturated conditions, <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Petters
and Kreidenweis, 2007), is derived from the activated fraction spectrum and
the corresponding particle diameter (Lance et al., 2013; Mei et al.,
2013a; Thalman et al., 2017).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Other relevant datasets used in this study</title>
      <p id="d1e509">Routine measurements at the ENA site used in this study include the
non-refractory submicron aerosol (NR-PM<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> composition (organics,
sulfate, nitrate, ammonium, and chloride) characterized by an aerosol
chemical speciation monitor (ACSM; Aerodyne Research, Inc., Billerica, MA,
USA)  (Watson, 2017) and particle hygroscopic growth measured by a
humidified tandem differential mobility analyzer (HTDMA; Brechtel
Manufacturing Inc., CA, USA) (Uin, 2016). The HTDMA measures aerosol
hygroscopic growth factor under <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> % RH at five particle
diameters (50, 100, 150, 200 and 250 nm), from which the aerosol
hygroscopicity under subsaturated conditions (<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">GF</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is derived (Petters and Kreidenweis, 2007).</p>
      <p id="d1e547">Gas-phase <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and MSA concentrations are from the Modern-Era
Retrospective Analysis for Research and Applications, version 2 (MERRA-2)
reanalysis data  (Gelaro et al., 2017), at the grid
corresponding to the ENA site.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Derivation of the hygroscopicity parameter of condensing species</title>
      <p id="d1e570">Continuous growth of Aitken-mode particles is identified from the aerosol
size distribution time series. As a result of the condensational growth,
aerosol chemical compositions and thus the hygroscopicity of Aitken-mode
particles are expected to evolve with time during the growth events. As
potential condensing species (Table 1) have contrasting hygroscopicity
parameters, the variation of hygroscopicity parameter during the growth
events can therefore be used to infer the major condensing species.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Matching aerosol size modes with the hygroscopicity measurements</title>
      <p id="d1e580">Here we detail the procedure to correlate the aerosol size distribution with
the SCCN measurement. The same procedure is also applied to correlate the
aerosol size distribution with the HTDMA measurements. The CCN activated
fraction spectrum was measured at six fixed sizes (<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. As the
size of Aitken-mode particles evolves continuously during the growth events,
we first determine if the hygroscopicity of the growing Aitken mode can be
captured by the measurement at one of the six <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> using the
following two criteria. The first criterion is that <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (e.g., 40, 50, or 75 nm) is within 1 geometric standard deviation (<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
of the Aitken-mode diameter; i.e., <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M32" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> (Fig. 1a). For example, at
time <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (40 nm) is within 1<inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> range of the
Aitken-mode diameter (i.e., dark blue shaded area in Fig. 1a), and the
<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value measured at 40 nm is considered representative of
the Aitken mode (solid blue curve in Fig. 1a). In contrast, at a later time
<inline-formula><mml:math id="M37" 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>, the Aitken mode grew to larger sizes (dashed blue curve in Fig. 1a),
and 40 nm became smaller than <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (light blue
shaded area in Fig. 1a). Therefore, <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured at 40 nm no
longer represents the hygroscopicity of the Aitken mode at <inline-formula><mml:math id="M41" 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>. The
second criterion is that particle concentration at <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is
dominated by the Aitken mode only (Fig. 1b); i.e., a total of over 95 % of the
particles at the measured <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is contributed by the Aitken mode.
The Aitken mode (blue curve) and accumulation mode (red curve) contribute to
the number size distribution at <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (dashed black line, Fig. 1b).
Although <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is within 1<inline-formula><mml:math id="M46" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of the Aitken-mode diameter,
the contribution of the Aitken mode is less than 95 % at this size (orange
curve in Fig. 1b). Therefore, measurement at <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is not deemed as being
representative of the Aitken mode due to the substantial contribution from
accumulation-mode particles. Only data points that meet both criteria are
selected, as illustrated in Fig. 1c. Figure 2a gives an example of the time
series of Aitken-mode diameter and paired <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value during a growth event.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e928">Matching aerosol Aitken mode with hygroscopicity measurements at
fixed particle diameters. The dashed black lines indicate the selected
particle size (i.e., <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">SCCN</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at which the hygroscopicity parameter
<inline-formula><mml:math id="M50" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> is derived. The shaded areas indicate the 1<inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> range from the
fitted lognormal mode diameter, <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/12515/2020/acp-20-12515-2020-f01.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e989">Hygroscopicity parameter <inline-formula><mml:math id="M53" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> of potential condensing species
over remote oceans.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Compound</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">GF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.19</oasis:entry>
         <oasis:entry colname="col3">0.90</oasis:entry>
         <oasis:entry colname="col4">Petters and Kreidenweis (2007)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.0</oasis:entry>
         <oasis:entry colname="col3">0.9</oasis:entry>
         <oasis:entry colname="col4">Schmale et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.51</oasis:entry>
         <oasis:entry colname="col3">0.65</oasis:entry>
         <oasis:entry colname="col4">Petters and Kreidenweis (2007)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.53</oasis:entry>
         <oasis:entry colname="col3">0.61</oasis:entry>
         <oasis:entry colname="col4">Petters and Kreidenweis (2007)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula><?xmltex \hack{\hfill\break}?>(MSA)</oasis:entry>
         <oasis:entry colname="col2">0.36</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Johnson et al. (2004) and Tang et al. (2019)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M62" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene/<inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>/dark SOA</oasis:entry>
         <oasis:entry colname="col2">0.022–0.037</oasis:entry>
         <oasis:entry colname="col3">0.1</oasis:entry>
         <oasis:entry colname="col4">Petters and Kreidenweis (2007)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M64" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene/<inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>/dark SOA</oasis:entry>
         <oasis:entry colname="col2">0.009–0.022</oasis:entry>
         <oasis:entry colname="col3">0.1</oasis:entry>
         <oasis:entry colname="col4">Petters and Kreidenweis (2007)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SOA particles</oasis:entry>
         <oasis:entry colname="col2">0–0.3 (20  % to</oasis:entry>
         <oasis:entry colname="col3">0–0.3 (generally</oasis:entry>
         <oasis:entry colname="col4">Chang et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">generated via OH</oasis:entry>
         <oasis:entry colname="col2">50 % lower than</oasis:entry>
         <oasis:entry colname="col3">below the line of</oasis:entry>
         <oasis:entry colname="col4">and Massoli et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">radical oxidation</oasis:entry>
         <oasis:entry colname="col2">corresponding <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">CCN</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><?xmltex \opttitle{Derivation of the hygroscopicity of condensed species ($\kappa _{\mathrm{c}})$ during growth events}?><title>Derivation of the hygroscopicity of condensed species (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> during growth events</title>
      <p id="d1e1404">The derivation is applied to condensational growth events when there are
a sufficient number (more than six points) of <inline-formula><mml:math id="M70" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> measurements that
satisfy both criteria described in Sect. 3.1. For each condensational growth
event selected (e.g., Fig. 2a), the average hygroscopicity parameter of
condensing species, <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, is derived based on the following three
assumptions. Here, <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> represents either the hygroscopicity derived
from SCCN (i.e., <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> or HTDMA (i.e., <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">GF</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> data.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1460">Derivation of <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from size-resolved CCN
measurement during an example condensational growth event. <bold>(a)</bold> Mode diameter
and hygroscopicity <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the growing Aitken mode. The black
circles are the fitted mode diameter, <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and the shaded area indicates
the 1<inline-formula><mml:math id="M78" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> range of the fitted mode. The black line shows the increasing
trend of <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, which is used to identify growth events. <bold>(b)</bold> Derivation of the original particle diameter (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at the beginning of
the growth event from particle diameter measured after growth (<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> using
cumulative particle size distributions. <bold>(c)</bold> Derivation of <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> through linear fitting of <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">cond</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/12515/2020/acp-20-12515-2020-f02.png"/>

        </fig>

      <?pagebreak page12518?><p id="d1e1622">The first assumption is that the change in particle volume (diameter) is due
to the condensational growth only, namely
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M85" display="block"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">π</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mo>)</mml:mo><mml:msubsup><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:msubsup><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">π</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mo>)</mml:mo><mml:msubsup><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:msubsup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M86" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is the particle volume and <inline-formula><mml:math id="M87" 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> is the particle diameter.
Hereinafter we use <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to denote the corresponding particle
property <inline-formula><mml:math id="M90" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> after and before the condensational growth, respectively, and
<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> refers to the property <inline-formula><mml:math id="M92" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> of the condensed species. The second
assumption is that the aerosol <inline-formula><mml:math id="M93" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> follows the volume-weighted mixing
law  (Petters and Kreidenweis, 2007):
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M94" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          The third assumption is that the growth rate is identical for particles of
the same size, and thus the relative position of any given particle in the
accumulative size distribution is maintained throughout the growth. Let
CDF<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:math></inline-formula> and CDF<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> denote the particle cumulative size distributions
before and after the particle growth, and <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represent
particle diameters before and after particle growth, respectively. The
number of particles smaller than <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> following particle growth should be
the same as the number of particles smaller than <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> prior to the growth
event (Fig. 2b):
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M101" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">CDF</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">CDF</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          For each particle size (i.e., <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measured during the growth events,
the original particle size (i.e., <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is derived from Eq. (3). The
volume fraction of condensed species, <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cond</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, is given by
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M105" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">cond</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          By combining Eqs. (1)–(4), we have
            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M106" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mo>-</mml:mo></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cond</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          Both <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cond</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are from the measurements as
described above. Therefore, <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can be
derived from the linear fitting of <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">cond</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for
each growth event (e.g., Fig. 2c), where <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the intercept
and <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the sum of slope and intercept. The method described
here was applied to both SCCN and HTDMA measurements, and <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
derived values are referred to as <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">GF</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
hereinafter, respectively.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Constraining the major condensing species in the remote MBL</title>
      <?pagebreak page12519?><p id="d1e2294">Figure 3 shows two examples of the identified growth events, with the
dominant condensing species being sulfate and organics, respectively. While
the measured <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values of the Aitken-mode particles (i.e., pre-CCN
particles that are below <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> nm) are similar (<inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula>) at the start of both events, the variations of <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with
growing particle size show opposite trends. For the July case (Fig. 3a, b),
<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased with the volume fraction of condensed species
(<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">cond</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, Fig. 3b), indicating that the hygroscopicity of the condensed
species, <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, exceeds that of the original particles. The
derived <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> value is 0.7, which is typical of sulfates
(Table 1). In contrast, during the September growth event (Fig. 3c, d),
<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decreased as the particles grew. The derived <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> value is <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula>, indicating organics as the
dominant condensing species. We note that <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is derived
from the volume-weighted mixing law  (Petters and
Kreidenweis, 2007) (i.e., ideal Zdanovskii–Stokes–Robinson (ZSR)
mixing). Organic surfactants may facilitate CCN activation by lowering
surface tension of growing droplets  (Ovadnevaite et al., 2017). In
scenarios when particles contain organic surfactants, particle
hygroscopicity <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> may be greater than the simple volume
average of participating species. As a result, the derived <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> value based on the volume-weighted mixing law may be
overestimated, therefore leading to an underestimation of the contribution
of organics to the particle condensational growth.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2482">Examples of pre-CCN particle growth dominated by
<bold>(a, b)</bold> acidic
sulfates and <bold>(c, d)</bold> organics, respectively, as observed in 2017. <bold>(a)</bold> and <bold>(c)</bold> Examples of growth events identified from the time series of measured
aerosol size distribution. The black circles indicate lognormal-fitted
Aitken-mode diameter, and the black lines indicate the growth of the mode
diameter (see Sect. 3). <bold>(b)</bold> and <bold>(d)</bold> Particle hygroscopicity <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
as a function of the volume fraction of condensed species in the growing
particles (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">cond</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">cond</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> increases as particles grow by
condensation. The value of <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is derived from the variation
of <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">cond</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Sect. 3).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/12515/2020/acp-20-12515-2020-f03.png"/>

      </fig>

      <p id="d1e2599">A total of 62 growth events are identified during the 14-month campaign
(Fig. 4). These events are classified into three categories according to the
derived <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> value (Table 1): (1) low hygroscopicity (i.e.,
<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>&lt;0.45), indicating organics as being the dominant
condensing species, (2) high hygroscopicity (i.e., <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.65</mml:mn></mml:mrow></mml:math></inline-formula>), with acidic sulfate (i.e., <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
dominating the particle condensational growth, and (3) intermediate
hygroscopicity (i.e., <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.45</mml:mn><mml:mo>&lt;</mml:mo><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.65</mml:mn></mml:mrow></mml:math></inline-formula>), when (<inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula><inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and/or mixtures of organics and acidic sulfate contribute to the particle growth.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2744">Monthly distribution of observed condensational growth events and
the category of dominant condensing species during the ACE-ENA campaign.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/12515/2020/acp-20-12515-2020-f04.png"/>

      </fig>

</sec>
<?pagebreak page12520?><sec id="Ch1.S5">
  <label>5</label><title>Monthly distributions of the dominant condensing species</title>
      <p id="d1e2762">The monthly distribution of the identified growth events and the dominant
condensing species are shown in Fig. 4. Relatively more events were observed
during the summer seasons due to favorable synoptic conditions. In summer,
there is a stronger influence by the Azores High, while the influence from
midlatitude cyclones and the corresponding wet scavenging are much weaker (Zheng et al., 2018). The distribution of the
event categories shows that <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dominated the
condensational growth during only 18 % of the growth events. This is less
than the events dominated by organics at 24 %. The majority (58 %) of
the growth events exhibit intermediate <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values, suggesting
that <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or a mixture of organics and sulfate is
responsible for the particle condensational growth.</p>
      <p id="d1e2832">To further constrain the condensing species for the intermediate <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> category, we compare the <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> value with the
hygroscopicity under subsaturated conditions (<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">GF</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which is
derived from measured particle hygroscopic growth (Sect. 3). For
<inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the difference between <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">GF</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is relatively small (within 20 %) (Petters and Kreidenweis, 2007), while the difference is
usually substantially larger  (Wex et al., 2009; Rastak et al., 2017;
Petters et al., 2009; Pajunoja et al., 2015; Ovadnevaite et al., 2011;
Massoli et al., 2010) for organic species. The large difference has been
attributed to the solution non-ideality (Petters et al., 2009), the formation of
hydrogels  (Ovadnevaite et al., 2011), and the solubility and
phase states  (Pajunoja et al., 2015; Rastak et al., 2017). One example of
the intermediate <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> category is shown in Fig. S1 in the Supplement. For this
case, the derived <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">GF</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values are 0.59
and 0.45, respectively (Fig. S1). The difference is close to the measurement
uncertainty (i.e., 20 %), and therefore the major condensing species for
this example is classified as <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e3014">Comparison of  <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">GF</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values for the intermediate
<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
category, colored by the measured molar ratios of
<inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>/</mml:mo><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>. The dashed
black line is the <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line, while the dashed cyan lines represent the
<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>  % uncertainties.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/12515/2020/acp-20-12515-2020-f05.png"/>

      </fig>

      <p id="d1e3120">Figure 5 compares the values of <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">GF</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for all available events in the intermediate <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> category.
For most of these events, <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">GF</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is at least 20 % lower than
<inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, indicating organics likely played an important role in
particle condensational growth. In addition, the chemical composition of
submicron non-refractory aerosol (NR-PM<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>; aerodynamic diameters below
1 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) indicates an ammonium-poor condition over the ENA (color bar in
Fig. 5), typical of the remote marine environment (Adams et al.,
1999). Therefore, sulfate is not fully neutralized as
<inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Note that the bulk <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>/</mml:mo><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> molar ratio shown in Fig. 5 is dominated by that of accumulation-mode
particles, whereas the <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">GF</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values are
derived from growing Aitken-mode particles. Whereas the degrees of
neutralization for accumulation and Aitken modes are expected to correlate
with each other (e.g., lower neutralization degrees for both accumulation
and Aitken modes under more ammonium-poor conditions), it is possible that
the neutralization degree may exhibit size dependence under some
circumstances. For example, in-cloud formation of <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>  influences
the neutralization degree of accumulation-mode particles only  (Seinfeld
and Pandis, 2016), possibly leading to a lower degree of neutralization for the accumulation mode. This could explain a few data points that exhibit a lower
degree of neutralization but similar <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">GF</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values. This evidence suggests that the condensed species are a
mixture of sulfates and organics during most of the intermediate <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> events. These events are not dominated by
<inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Based on a <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value of 0.9 for
acidic sulfates (<inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and/or <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Table 1), the
average contribution of organics during the intermediate <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> events ranges from 42 % to 63 %, depending on the <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">CCN</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values of organics assumed (0.1–0.36; Table 1).
Therefore, organics played an important role during the
intermediate <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> events and dominated the particle
condensational growth for the low <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> category. Together,
these two categories represent a total of <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> % of the
growth events that occurred throughout the year.</p>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Sources of the condensing organics</title>
      <p id="d1e3511">Given the importance of secondary organics to particle condensational
growth, the potential sources of the condensing organics are investigated by
examining the air mass origins (Sect. S1 in the Supplement). Here we classify the origin of air
mass during the growth events into four types: (1) continental air masses
from North America or Europe, (2) the Arctic, (3) the subtropics, and (4) the midlatitude Atlantic. Note that an air mass is denoted as continental
if it passed over North America or Europe, so the non-continental types
represent the air masses that had stayed over oceans or clean continental
areas (i.e., Arctic region) for at least 10 d (Sect. S1). The mixing ratios
of CO and <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measured at the ENA site exhibit the highest and lower
values for the continental and<?pagebreak page12521?> midlatitude ocean air masses, respectively
(Fig. S3), supporting the effectiveness of the classifications.</p>
      <p id="d1e3525">Growth events of midlatitude Atlantic or Arctic type were observed
exclusively from May to September, a period that coincides with the
phytoplankton blooms in the midlatitude Atlantic or Arctic but not the
subtropics  (Sapiano et al., 2012). For these events,
<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is anti-correlated with the <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">MSA</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio (Fig. 6a),
which is from MERRA-2 reanalysis data (Sect. 2.3). As fixed yields of
<inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and MSA from DMS oxidation are assumed in MERRA-2 data (Chin et
al., 2000; Randles et al., 2017), a lower <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">MSA</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio suggests that other
<inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources in addition to DMS oxidation contribute to these events.
These other sources could include volcanic emissions and combustion products
from international shipping  (Randles et al., 2017). As MSA is a
tracer of biogenically derived SOA in marine environment (Seinfeld and
Pandis, 2016), the anti-correlation also indicates that the condensed
organics are likely SOA produced from VOCs emitted from ocean biological
activities (e.g., phytoplankton blooms). The value of <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is
not correlated with the NR-PM<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> organic / sulfate ratio (Fig. 6b),
suggesting different sources of the condensed species in pre-CCN and the
accumulation-mode particle composition.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e3624">Potential sources of the condensing organics. Correlations of the
derived <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with <bold>(a, c)</bold> the <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">MSA</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio and <bold>(b, d)</bold> the non-refractory PM<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">organics</mml:mi><mml:mo>/</mml:mo><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio, for <bold>(a, b)</bold> the clean air masses from the midlatitude Atlantic or Arctic and <bold>(c, d)</bold> the
continental or subtropical air masses. Numbers shown in <bold>(a, b)</bold> indicate the
month in which the growth events occurred.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/12515/2020/acp-20-12515-2020-f06.png"/>

      </fig>

      <p id="d1e3710">Among the remaining growth events, only four of them are subtropical cases,
which occurred outside the bloom periods. During the other events, air
masses were potentially influenced by continental emissions (Fig. S2). For
these events, <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is instead positively correlated with
the <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">MSA</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio (Fig. 6c), indicating that secondary organics formed from
phytoplankton-emitted VOCs likely played a minor role in the observed
particle condensational growth. The <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">CCN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> value generally
decreases with increasing NR-PM<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> organic / sulfate ratios (Fig. 6d),
suggesting that the formation of SOA led to an increased organic fraction for
both pre-CCN and accumulation-mode particles. Possible sources of the
condensed organics include SOA generated from long-range-transported
continental VOCs and VOCs released by the sea-surface microlayer oxidation
that are not directly related to phytoplankton emissions.</p>
      <p id="d1e3769">As continentally emitted VOCs are removed by oxidation during long-range
transport, it is expected that in situ SOA production from these VOCs is low
and plays a minor role in particle condensational growth over the remote
oceans (Kelly et al., 2019; D'Andrea et al., 2013). On the other hand,
aromatic compounds were detected in pre-CCN particles in clean air masses at
a coastal site  (Lawler et al., 2014), indicating the
potential contribution of SOA from anthropogenic VOCs with a long lifetime.
Oxidation reactions at the air–sea interface can produce VOCs, which lead to
subsequent SOA formation  (Mungall et al., 2017; Brüggemann et al.,
2018). This VOC source is present all-year round, even during winter when
there is little biological activity in the ocean  (Brüggemann
et al., 2018). Therefore, the secondary organics produced via this pathway
can contribute to the growth of pre-CCN particles during the seasons when
there is little biological activity.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Conclusions</title>
      <p id="d1e3780">In summary, we show that during all seasons, secondary organics play an
important role in the condensational growth of pre-CCN particles and, by
extension, the formation of CCN in the remote marine boundary layer. The
secondary organic species likely derive from a variety of precursors,
including VOCs produced from marine biogenic activity, continentally emitted
VOCs with a long lifetime that survive the long-range transport, and VOCs
formed by oxidation at the air–sea interface. Current global models
typically assume that sulfates dominate the particle growth over remote
oceans and therefore may substantially underestimate the formation of CCN
by condensational growth in the remote marine boundary layer.</p>
</sec>

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

      <p id="d1e3787">All data used in this study are available at <uri>https://www.arm.gov/research/campaigns/aaf2017ace-ena</uri> (last access: 15 October 2020; ARM, 2013).</p>
  </notes><?xmltex \hack{\newpage}?><app-group>
        <supplementary-material position="anchor"><p id="d1e3794">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-20-12515-2020-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-20-12515-2020-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3803">JW and GZ designed the study. JW, GZ, CK, JU, and TW carried out the measurements, and GZ and JW conducted the analysis and wrote the
manuscript with contributions from all authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3809">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e3816">This article is part of the special issue “Marine aerosols, trace gases, and clouds over the North Atlantic (ACP/AMT inter-journal SI)”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3822">The research was conducted with funding from the Atmospheric System
Research (ASR) program (award no. DE-SC0020259), Office of Biological and
Environmental Research (OBER) of the United States Department of Energy. We
acknowledge additional support by the Atmospheric Radiation Measurement
(ARM) Climate Research Facility, a user facility of the United States
Department of Energy, Office of Science, sponsored by the Office of
Biological and Environmental Research.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3827">This research has been supported by the Atmospheric System Research program, US Department of Energy (grant no. DE-SC0020259).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3833">This paper was edited by Ryan Sullivan and reviewed by three anonymous referees.</p>
  </notes><ref-list>
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<abstract-html><p>Marine low clouds strongly influence global climate, and their radiative
effects are particularly susceptible to the concentration of cloud
condensation nuclei (CCN). One major source of CCN is the condensational growth
of pre-CCN particles, and sulfate has long been considered the major
condensing species in the remote marine boundary layer. While some studies
have suggested that secondary organic species can contribute to particle
growth, its importance remains unclear. Here we present the first long-term
observational evidence that organics play an important role in particle
growth over remote oceans. To the contrary of traditional thinking, sulfate
dominated condensational growth for only a small ( ∼ 18&thinsp;%)
fraction of the 62 observed growth events, even fewer than the
organic-dominated events (24&thinsp;%). During most (58&thinsp;%) growth events, the
major condensing species included both organics and sulfate. Potential
precursors of the secondary organics are volatile organic compounds from
ocean biological activities and those produced by the air–sea interfacial
oxidation. Our results indicate that the condensation of secondary organics
contributes strongly to the growth of pre-CCN particles and thereby the CCN
population over remote oceans.</p></abstract-html>
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