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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-16-505-2016</article-id><title-group><article-title>Aerosol properties, source identification, and cloud processing in orographic clouds measured by single particle mass spectrometry on a central
European mountain site during HCCT-2010</article-title>
      </title-group><?xmltex \runningtitle{Aerosol properties, source identification, and cloud processing}?><?xmltex \runningauthor{A. Roth et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Roth</surname><given-names>A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Schneider</surname><given-names>J.</given-names></name>
          <email>johannes.schneider@mpic.de</email>
        <ext-link>https://orcid.org/0000-0001-7169-3973</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Klimach</surname><given-names>T.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Mertes</surname><given-names>S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>van Pinxteren</surname><given-names>D.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Herrmann</surname><given-names>H.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7044-2101</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Borrmann</surname><given-names>S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4774-9380</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Particle Chemistry Department, Max Planck Institute for Chemistry,
Hahn-Meitner-Weg 1, 55128 Mainz, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Leibniz Institute for Tropospheric Research, Permoserstraße 15, 04318 Leipzig, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Atmospheric Physics, Johannes Gutenberg University Mainz, Johann-Joachim-Becherweg 21,
<?xmltex \hack{\newline}?> 55128 Mainz, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">J. Schneider (johannes.schneider@mpic.de)</corresp></author-notes><pub-date><day>19</day><month>January</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>2</issue>
      <fpage>505</fpage><lpage>524</lpage>
      <history>
        <date date-type="received"><day>21</day><month>July</month><year>2015</year></date>
           <date date-type="rev-request"><day>8</day><month>September</month><year>2015</year></date>
           <date date-type="rev-recd"><day>17</day><month>December</month><year>2015</year></date>
           <date date-type="accepted"><day>19</day><month>December</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016.html">This article is available from https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016.pdf</self-uri>


      <abstract>
    <p>Cloud residues and out-of-cloud aerosol particles with diameters between 150
and 900 nm were analysed by online single particle aerosol mass
spectrometry during the 6-week study Hill Cap Cloud Thuringia (HCCT)-2010 in September–October 2010.
The measurement location was the mountain Schmücke (937 m a.s.l.) in
central Germany. More than 160 000 bipolar mass spectra from out-of-cloud
aerosol particles and more than 13 000 bipolar mass spectra from cloud
residual particles were obtained and were classified using a fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means
clustering algorithm. Analysis of the uncertainty of the sorting algorithm
was conducted on a subset of the data by comparing the clustering output
with particle-by-particle inspection and classification by the operator.
This analysis yielded a false classification probability between 13 and
48 %. Additionally, particle types were identified by specific marker
ions.</p>
    <p>The results from the ambient aerosol analysis show that 63 % of the
analysed particles belong to clusters having a diurnal variation, suggesting
that local or regional sources dominate the aerosol, especially for
particles containing soot and biomass burning particles. In the cloud
residues, the relative percentage of large soot-containing particles and
particles containing amines was found to be increased compared to the
out-of-cloud aerosol, while, in general, organic particles were less abundant
in the cloud residues. In the case of amines, this can be explained by the
high solubility of the amines, while the large soot-containing particles
were found to be internally mixed with inorganics, which explains their
activation as cloud condensation nuclei. Furthermore, the results show that
during cloud processing, both sulfate and nitrate are added to the residual
particles, thereby changing the mixing state and increasing the fraction of
particles with nitrate and/or sulfate. This is expected to lead to higher
hygroscopicity after cloud evaporation, and therefore to an increase of the
particles' ability to act as cloud condensation nuclei after their cloud
passage.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The interaction of aerosol particles and cloud droplets has several aspects:
on the one hand, the presence of a cloud condensation nucleus (CCN) is an
essential prerequisite for the formation of a cloud droplet, and the size
and chemical composition of the aerosol particle determines whether a
particle acts at a certain temperature and supersaturation as a CCN or not
(e.g. Dusek et al., 2006b; Gunthe et al., 2009). On the other hand,
cloud processing alters the chemical composition of the cloud droplet such
that after evaporation of the cloud droplet the remaining aerosol particle
is of a different composition than the original CCN. The uptake of nitric acid
in the aqueous phase of cloud droplets has been observed
(Hayden et al., 2008), but also sulfate is known to
be produced by oxidation of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the cloud phase, either by reaction
with O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Bower et al., 1991), H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
(Bower et al., 1997; Laj et al., 1997a), or by transition metal induced
oxidation (Harris et al., 2014). Both effects lead
to a higher content of water-soluble inorganic material in the aerosol, which
is expected to enhance the cloud formation potential of the particles.</p>
      <p>Cloud particle sampling and separation from the not activated interstitial
aerosol can be achieved by applying a counterflow virtual impactor (CVI;
Ogren et al., 1985; Mertes et al., 2005b; Wendisch and Brenguier, 2013).
This technique has been coupled with online aerosol mass spectrometry
before, such that the composition of cloud droplets can be measured with
high time resolution (Drewnick et al., 2007; Allan et al., 2008; Hayden
et al., 2008). The use of single particle mass spectrometry for single
cloud residual particle analysis (e.g. Gieray et al., 1997; Kamphus et
al., 2010; Pratt et al., 2010; Zelenyuk et al., 2010) gives not only the
composition of the bulk residues but also the mixing state of the cloud
residues. Comparison with the aerosol observed shortly before cloud
formation can give information on the possible addition of chemical
compounds in the cloud phase and thereby evidence for cloud processing.</p>
      <p>Several previous hill cap cloud experiments – considering the clouds as
“stationary flow processors” – have been conducted and results have been
reported in the literature. One of these is the FEBUKO experiment
(Herrmann et al., 2005), which took place at the same field site as the
Hill Cap Cloud Thuringia (HCCT)-2010 experiment reported here. The results from FEBUKO have shown a
measurable increase of sulfate and ammonium, but only in two of three
investigated cases, and only in the smallest particle size range
(up to 140 nm; Brüggemann et al., 2005).
The mass production in the clouds was about 5 % of upwind aerosol mass
(in a size range between 60 and 300 nm; Mertes et al.,
2005a). Tilgner et al. (2005) found from model
calculations for the same experiment that the mass increase is mainly due to
HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> uptake and only to a lesser degree due to SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> oxidation.</p>
      <p>The Kleiner Feldberg Cloud Experiment (Fuzzi et al., 1994; Wobrock et
al., 1994) was conducted in 1990. Offline single particle analyses of cloud
residues sampled via a counterflow virtual impactor during this experiment
are reported by Hallberg et al. (1994). It could be
shown that the majority of cloud residues contained soluble compounds
whereas insoluble particles remained in the interstitial air.
Fuzzi et al. (1994) reported from the
Feldberg Cloud Experiment that a general lack of gaseous NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was
observed in the cloud systems. Thus, the clouds were acidic either by uptake
of HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> or by oxidation of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> via O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the aqueous phase.
SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> oxidation in these clouds was inhibited by a lack of H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
and by the low pH-values, such that the observed sulfate in the cloud water
derived most likely from pre-existing aerosol.</p>
      <p>During the Great Dun Fell experiment, which took place in 1993, an increased
sulfate concentration of the aerosol was observed after cloud passing
(Laj et al., 1997b). Thereby also the
ammonium concentration increased based on the neutralisation reaction with
ammonia. The increased sulfate concentration could be attributed mainly to
SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> oxidation by H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the cloud water and to a lesser
extent by O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Bower et al., 1997; Laj et al., 1997a). Furthermore,
even though the concentrations of iron and copper were low, an influence of
these elements on formation and depletion of photo-oxidants could be
recognised (Sedlak et al., 1997).</p>
      <p>Here we report the results obtained from individual particle chemical
analysis by online single particle laser ablation mass spectrometry during
the hill cloud experiment HCCT-2010, which was conducted on the mountain
site Schmücke in September and October 2010 in central Germany. The
analysis includes cloud residual particles that were sampled from the cloud
using a CVI and aerosol particles that were measured during cloud-free
periods.</p>
</sec>
<sec id="Ch1.S2">
  <title>Experiments and data evaluation procedures</title>
<sec id="Ch1.S2.SS1">
  <title>Measurement site and instrumentation</title>
      <p>The HCCT 2010 experiment took place between 13 September and 25 October 2010, at the mountain ridge Thüringer
Wald in central Germany. The same measurement sites were used as during two
previous experiments (FEBUKO, 2001, 2002; Herrmann et al., 2005): (1) an upwind site (Goldlauter, 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>45</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn>20</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> E,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>50</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn>38</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn>28</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> N; 605 m a.s.l.), (2) a summit site (Schmücke,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>10</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn>46</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn>15</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> E, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>50</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn>39</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn>19</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> N; 937 m a.s.l.), and (3) a downwind site
(Gehlberg, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>10</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn>47</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn>32</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> E, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>50</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn>40</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn>21</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> N; 732 m a.s.l.).
A map of the surroundings of the measurement site along with a table giving
the population number of the cities within a radius of approximately 50 km
around the site can be found in the Supplement (Fig. S1 and
Table S1). At the summit site Schmücke, two particle inlets were
installed facing south-west in separate windows at the height of 15 m of a
three-story building that hosts a field station of the German Environmental
Protection Agency (<italic>Umweltbundesamt</italic>). The aerosol inlet was used to sample aerosol particles
with aerodynamic diameters (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mtext>aero</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> smaller than 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m under cloud
free conditions. During cloudy periods the CVI  (Mertes et
al., 2005b) was additionally deployed to sample cloud droplets with
diameters larger than 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m. The single particle aerosol mass
spectrometer ALABAMA (Aircraft-based Laser Ablation Aerosol Mass
Spectrometer) was operated while manually alternating between these two
inlets. We did not attempt to detect interstitial aerosol because the
ALABAMA size range (starting at 150 nm; see below) does not permit detection
of small, unactivated particles.</p>
      <p>A detailed description of the mass spectrometer ALABAMA can be found in
Brands et al. (2011). The particles enter the vacuum
chamber via a Liu-type aerodynamic lens  (Liu et al., 1995a, b) and are
focused to a narrow particle beam. Due to the pressure drop the particles
are accelerated when exiting the aerodynamic lens. The final particle
velocity depends on their size, shape and density. The particles are
detected by the scattered light of two orthogonal continuous wave
Nd:VO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> laser beams (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 532 nm). The optical
detection of the particles limits the particle size range for smaller
particles to about 150–200 nm. The particle size given as the vacuum
aerodynamic diameter (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mtext>va</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> can be derived from the time difference
between the two scattering signals by means of calibration with particles of
known size. In addition the time difference is used to calculate the time at
which a particle will arrive at the ionisation region of the mass
spectrometer. There the particle is evaporated and ionised in one step by
laser ablation with a pulsed Nd:YAG laser (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 266 nm).
The resulting positive and negative ions are detected by a bipolar
time-of-flight mass spectrometer. The laser ablation method is a qualitative
method, such that it is not possible to relate the peak height to a mass
concentration of a certain compound  (e.g.
Middlebrook et al., 2003).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Measurement set-up and further operated instruments at the
summit site Schmücke. Out-of-cloud aerosol was investigated by sampling
through the aerosol inlet during cloud free periods while cloud residues
were investigated by sampling through the CVI during cloud episodes.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f01.pdf"/>

        </fig>

      <p>Figure 1 shows the measurement set-up and
additionally operated instruments at the summit site Schmücke. Besides
the ALABAMA, an optical particle counter (OPC; Grimm, model 1.109, time
resolution 6 s) as well as a compact time-of-flight aerosol mass spectrometer (C-ToF-AMS; Aerodyne Research Inc.,
Drewnick et al., 2005) were run simultaneously. Furthermore a high-resolution time-of-flight AMS  (HR-ToF-AMS; Aerodyne Research Inc.,
DeCarlo et al., 2006) and a multi-angle absorption photometer (MAAP; Thermo
Scientific, model 5012, time resolution 1 min) were operated continuously at
the aerosol inlet. The MAAP determines the mass concentration of equivalent
black carbon  (EBC; Petzold et al., 2013) based on the absorption of
particles sampled on a filter. The results from the C-ToF-AMS and HR-ToF-AMS
measurements are presented in an accompanying paper (Schneider et
al., 2016). Outside of the building, a particle volume monitor (PVM; Gerber
Scientific Inc., model 100, time resolution 1 min) for investigation of the
liquid water content (LWC) and a weather station (Davis Vantage Pro) for
meteorological parameters were installed. Additionally, Caltech active
strand cloud water collectors (one stage, three stage, and five stage) were
mounted. The pH value as well as the content of organic compounds of cloud
water were analysed by offline methods at the Leibniz Institute for
Tropospheric Research. Furthermore, aliphatic amines were analysed from
filtrated cloud water samples (0.45 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m syringe filters, Acrodisc 13,
Pall, Dreieich, Germany) using an ion chromatography method adopted from
Facchini et al. (2008). Details of the method are given elsewhere
(van Pinxteren et al., 2015).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Definition of full cloud events (FCE)</title>
      <p>During the campaign, a measurement period was considered as a full cloud
event (FCE) if the following criteria were fulfilled: LWC of the summit site cloud above 0.1 gm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, wind direction from the
south-west (200–250<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> sector), wind speed at the Schmücke site
between 2 and 12 ms<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, no fog at the two valley sites, no
precipitation at any site, and air temperature above 0 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. In the
course of the data analysis, only those FCEs were chosen that fulfilled
connected flow conditions, which were inferred using cross-correlations and
coefficient of divergence (COD) for O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, particle number concentration
in the Aitken mode (49 nm) and in the accumulation mode (217 nm). For
details see Tilgner et al. (2014).
Overall, 14 FCEs were identified and evaluated (Table 1). In this study we
present the data from all cloud residue measurements behind the CVI, but
the official FCEs are additionally analysed separately, thereby facilitating
comparison with other data from HCCT-2010. FCEs showing insufficient number
of mass spectra for statistical evaluations (FCE2.1, FCE4.1, FCE5.1, and FCE
26.2) are not considered in the following data analysis. Detailed
information on cloud type and meteorological conditions of the individual
FCEs can be found in the Supplement to
Tilgner et al. (2014), a brief
description of the cloud conditions is included in
Table 1.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Overview of the defined FCEs after Tilgner et al. (2014) during
HCCT-2010 and the number of obtained single particle mass spectra by ALABAMA.
FCE2.1, FCE4.1, FCE5.1, and FCE26.2 are statistically not
significant.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.88}[.88]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="199.169291pt"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Full cloud</oasis:entry>  
         <oasis:entry colname="col2">Start</oasis:entry>  
         <oasis:entry colname="col3">End</oasis:entry>  
         <oasis:entry colname="col4">Duration</oasis:entry>  
         <oasis:entry colname="col5">Cloud</oasis:entry>  
         <oasis:entry colname="col6">Number of  mass</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">event</oasis:entry>  
         <oasis:entry colname="col2">(CEST)</oasis:entry>  
         <oasis:entry colname="col3">(CEST)</oasis:entry>  
         <oasis:entry colname="col4">h</oasis:entry>  
         <oasis:entry colname="col5">information</oasis:entry>  
         <oasis:entry colname="col6">spectra (cloud residues)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">FCE1.1</oasis:entry>  
         <oasis:entry colname="col2">14-09-2010, 11:00</oasis:entry>  
         <oasis:entry colname="col3">15-09-2010, 01:50</oasis:entry>  
         <oasis:entry colname="col4">14.8</oasis:entry>  
         <oasis:entry colname="col5">No pure orographic cloud, area covered by high clouds, stable stratification</oasis:entry>  
         <oasis:entry colname="col6">1351</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE1.2</oasis:entry>  
         <oasis:entry colname="col2">15-09-2010, 03:00</oasis:entry>  
         <oasis:entry colname="col3">15-09-2010, 06:20</oasis:entry>  
         <oasis:entry colname="col4">3.3</oasis:entry>  
         <oasis:entry colname="col5">Slight precipitation, slight stable thermal stratification</oasis:entry>  
         <oasis:entry colname="col6">128</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE2.1</oasis:entry>  
         <oasis:entry colname="col2">15-09-2010, 23:00</oasis:entry>  
         <oasis:entry colname="col3">16-09-2010, 02:00</oasis:entry>  
         <oasis:entry colname="col4">3</oasis:entry>  
         <oasis:entry colname="col5">No pure orographic cloud, no precipitation, stable stratification</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE4.1</oasis:entry>  
         <oasis:entry colname="col2">16-09-2010, 13:10</oasis:entry>  
         <oasis:entry colname="col3">16-09-2010, 15:00</oasis:entry>  
         <oasis:entry colname="col4">1.8</oasis:entry>  
         <oasis:entry colname="col5">Slight precipitation, unstable thermal stratification</oasis:entry>  
         <oasis:entry colname="col6">5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE5.1</oasis:entry>  
         <oasis:entry colname="col2">16-09-2010, 21:40</oasis:entry>  
         <oasis:entry colname="col3">16-09-2010, 23:50</oasis:entry>  
         <oasis:entry colname="col4">2.2</oasis:entry>  
         <oasis:entry colname="col5">No precipitation, slight stable stratification</oasis:entry>  
         <oasis:entry colname="col6">56</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE7.1</oasis:entry>  
         <oasis:entry colname="col2">24-09-2010, 21:10</oasis:entry>  
         <oasis:entry colname="col3">25-09-2010, 00:50</oasis:entry>  
         <oasis:entry colname="col4">3.7</oasis:entry>  
         <oasis:entry colname="col5">Stable thermal stratification, orographic cloud, no precipitation</oasis:entry>  
         <oasis:entry colname="col6">238</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE11.2</oasis:entry>  
         <oasis:entry colname="col2">01-10-2010, 20:50</oasis:entry>  
         <oasis:entry colname="col3">02-10-2010, 03:10</oasis:entry>  
         <oasis:entry colname="col4">6.3</oasis:entry>  
         <oasis:entry colname="col5">No precipitation, occlusion-related cloud</oasis:entry>  
         <oasis:entry colname="col6">117</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE11.3</oasis:entry>  
         <oasis:entry colname="col2">02-10-2010, 07:10</oasis:entry>  
         <oasis:entry colname="col3">03-10-2010, 00:30</oasis:entry>  
         <oasis:entry colname="col4">17.3</oasis:entry>  
         <oasis:entry colname="col5">Slight precipitation at beginning of event, partly orographic cloud, higher clouds occurred, stable thermal stratification</oasis:entry>  
         <oasis:entry colname="col6">974</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE13.3</oasis:entry>  
         <oasis:entry colname="col2">06-10-2010, 06:50</oasis:entry>  
         <oasis:entry colname="col3">07-10-2010, 01:00</oasis:entry>  
         <oasis:entry colname="col4">18.2</oasis:entry>  
         <oasis:entry colname="col5">Rather stable thermal stratification, orographic cloud</oasis:entry>  
         <oasis:entry colname="col6">1131</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE22.0</oasis:entry>  
         <oasis:entry colname="col2">19-10-2010, 01:50</oasis:entry>  
         <oasis:entry colname="col3">19-10-2010, 09:00</oasis:entry>  
         <oasis:entry colname="col4">7.2</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, rather stable thermal stratification, occlusion-related cloud</oasis:entry>  
         <oasis:entry colname="col6">1561</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE22.1</oasis:entry>  
         <oasis:entry colname="col2">19-10-2010, 21:10</oasis:entry>  
         <oasis:entry colname="col3">20-10-2010, 02:30</oasis:entry>  
         <oasis:entry colname="col4">5.3</oasis:entry>  
         <oasis:entry colname="col5">Slightly stable thermal stratification, lower stratiform cloudiness</oasis:entry>  
         <oasis:entry colname="col6">248</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE24.0</oasis:entry>  
         <oasis:entry colname="col2">21-10-2010, 22:10</oasis:entry>  
         <oasis:entry colname="col3">22-10-2010, 10:00</oasis:entry>  
         <oasis:entry colname="col4">11.8</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, quite stable thermal stratification, orographic cloud pattern, slight precipitation</oasis:entry>  
         <oasis:entry colname="col6">588</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE26.1</oasis:entry>  
         <oasis:entry colname="col2">23-10-2010, 23:40</oasis:entry>  
         <oasis:entry colname="col3">24-10-2010, 07:20</oasis:entry>  
         <oasis:entry colname="col4">7.7</oasis:entry>  
         <oasis:entry colname="col5">less stable thermal stratification, no pure orographic cloud, light precipitation</oasis:entry>  
         <oasis:entry colname="col6">356</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">FCE26.2</oasis:entry>  
         <oasis:entry colname="col2">24-10-2010, 08:40</oasis:entry>  
         <oasis:entry colname="col3">24-10-2010, 12:20</oasis:entry>  
         <oasis:entry colname="col4">3.7</oasis:entry>  
         <oasis:entry colname="col5">Similar to FCE26.1, light postfrontal precipitation</oasis:entry>  
         <oasis:entry colname="col6">30</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <title>Back trajectory calculation</title>
      <p>Back trajectories for the air masses encountered during HCCT-2010 were
calculated using HYSPLIT (Hybrid Single Particle Lagrangian Integrated Trajectory; Draxler and Rolph, 2012). The air mass origin
was determined 96 h before arriving at Mt. Schmücke with a time
resolution of 1 h. The coordinates of the Schmücke at a height of 500 m
above the ground were used as an endpoint in the model. 500 m were chosen
because the model orography cannot resolve a small-scale mountain range like
the Thüringer Wald with sufficient detail. The back trajectories for the
whole HCCT-2010 campaign can be found in the Supplement (Fig. S2). Back
trajectories for the FCE are discussed in Sect. 3.3.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Analysis of single particle mass spectra</title>
      <p>During the whole HCCT-2010 campaign the ALABAMA sampled over 286 000 single
particle mass spectra. The mass spectra were distinguished between
out-of-cloud aerosol and cloud residual particles according to the inlets
and the LWC. For the analysis of out-of-cloud aerosol only measurement
periods with an LWC <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05 g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were considered
(402 h), while data sampled behind the CVI were only examined for an LWC
<inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.1 g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (228, 106 h during FCEs). Upon
inspection of the data set, a certain number of mass spectra were found to
contain ions of only one polarity. The appearance of such monopolar mass
spectra was also observed in other single particle mass spectrometer
measurements (Bein et al., 2005; Sodeman et al., 2005; Shields et al.,
2007; Pratt et al., 2010), resulting either from technical issues (e.g.
tuning of high voltages) or from ion formation of only one polarity
(Sodeman et al., 2005). Negative ion mass spectra provide better
information on secondary organic and inorganic compounds (nitrate and
sulfate) and thereby also on the mixing state of the particles. However, in
order to constrain the analysis to a consistent data set, monopolar mass
spectra were excluded and only mass spectra of both polarities were
considered for the data analysis presented here. Out of the remaining
177 752 bipolar single particle mass spectra 164 595 were obtained while
sampling out-of-cloud aerosol and 13 157 while sampling cloud residues (out
of these 4400 were obtained during FCEs).</p>
<sec id="Ch1.S2.SS4.SSS1">
  <?xmltex \opttitle{Clustering by fuzzy $c$-means algorithm}?><title>Clustering by fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means algorithm</title>
      <p>The analysis method that is widely used and has become a standard method for
single particle mass spectra data is the clustering of the data set by
similarities of the mass spectra (e.g. Hinz et al., 1999, 2006; Silva and
Prather, 2000; Murphy et al., 2003;   Zelenyuk et al.,
2006, 2008; Hinz and Spengler, 2007;   Zhao et al., 2008;
Dall'Osto et al., 2009). The analysis presented here was conducted using the
software tool CRISP (version 1.127, 64 bit) that was recently developed at
the Max Planck Institute for Chemistry (Klimach, 2012). It is based on
the programming software IGOR Pro (version 6.3, WaveMetrics). CRISP
facilitates processing and management of large data sets. Data processing
includes mass calibration of the time-of-flight spectra, peak area
integration, and either automated clustering by one of the implemented
algorithms (<inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>-means or fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means) or manual clustering by inspection of
every mass spectrum. Furthermore, particle spectra can be selected by
specified criteria or according to additional external data sets. Here the
clustering was done using the fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means algorithm (Bezdek, 1981;
Bezdek et al., 1984; Hinz et al., 1999). The main reason for choosing the
fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means algorithm was that in a test with two distinct particle types
from laboratory data the fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means yielded the best results
(Roth, 2014). Furthermore, the fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means accounts for mass
spectra that do not fit to any cluster by creating one additional group of
spectra (“others”). These mass spectra can then be treated separately by
searching for certain marker peaks (see Sects. 2.4.3 and 2.4.4). All
177 752 bipolar mass spectra were first pre-processed separately by
calculating the square root of the peak intensity for every peak in order to
reduce peak intensity differences. Afterwards the mass spectra were
normalised (positive and negative polarities separately) to the sum of the
peak intensities. After concatenation of both polarities the entire mass
spectrum was normalised again. In the algorithm the starting reference mass
spectra for the clustering are chosen as follows: the first mass spectrum of
the data set is chosen as the first reference. Hereupon the distance between
the first reference and all further mass spectra is calculated sequentially.
If the Pearson correlation coefficient between the reference and the actual
mass spectrum is smaller than a threshold (chosen here 0.8), the latter is
regarded as being significantly different from the first reference spectrum
and is added as a further start cluster reference. This procedure is
repeated until the desired number of start clusters (here 200) is obtained.
The membership coefficient <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for every particle spectrum <inline-formula><mml:math display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> to a cluster
reference <inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is calculated by
              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>c</mml:mi></mml:msubsup><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mfrac><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mi>f</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfrac></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
            with the number of clusters <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>, the “fuzzifier” <inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>, and the distance <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
between mass spectrum <inline-formula><mml:math display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and reference <inline-formula><mml:math display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>. The sum of all membership
coefficients equals 1. The fuzzifier (1 <inline-formula><mml:math display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">∞</mml:mi></mml:math></inline-formula>, originally
introduced as “weighting exponent” by Bezdek, 1981) represents the
fuzziness (blurring, defocusing) of the classification. The fuzzifier value
of 1.7 applied here was chosen empirically on the basis of test data sets
with known particle types and particle numbers. The distance <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is
calculated here based on the Pearson correlation coefficient <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (0 <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> between the particle spectrum <inline-formula><mml:math display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and the
cluster reference <inline-formula><mml:math display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> via:

                  <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p>Every mass spectrum is compared to the start clusters, calculating
correlation coefficient, distance, and membership coefficient. Afterwards a
mean mass spectrum of every cluster is calculated under consideration of the
membership coefficients. The new mean cluster spectrum serves as reference
for the following run. Again correlation, distance, and memberships are
calculated for every mass spectrum to the new cluster references. This
procedure is repeated until the membership difference of two consecutive
iterations is smaller than a termination threshold (here: 10<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Now
every mass spectrum is assigned to that cluster for which the Pearson
correlation coefficient <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the highest, but only if <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is larger
than a certain threshold (here 0.7). Mass spectra showing smaller
correlation coefficients than this threshold are sorted out and assigned to
an additional cluster (“others”).</p>
      <p>The clustering of the current data set resulted in 159 clusters. This number
is smaller than the starting value of 200 clusters, confirming that the
chosen number of 200 starting cluster was large enough and that no particle
types that significantly differ from the others were missed by the
algorithm. About 9 % of all mass spectra were sorted out being represented
by the fraction “others”. According to the fragmentation pattern considering
characteristic peaks for certain particle types, their combination (e.g.
Hinz et al., 1999; Trimborn et al., 2002; Vogt et al., 2003; Dall'Osto and
Harrison, 2006; Pratt and Prather, 2010; Corbin et al., 2012), and relative
peak intensities, every cluster was assigned manually to a certain particle
type. Afterwards the number of obtained clusters was reduced by combining
clusters of the same particle type, if two mean cluster spectra <inline-formula><mml:math display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> showed
a Pearson correlation coefficient <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> larger than 0.7. In this way 65
cluster types remained, which were further grouped into 19 different
fragmentation types (plus “others”) representing 11 distinguished particle
types (plus “others”), according to the criteria given in
Table 3 (A–K). All cluster mean mass spectra as
well as further details on the separation of different clusters are shown in
the Supplement (Figs. S3–S6; Table S2). Further particle types were
determined by searching for specific marker peaks; see Sect. 2.4.3.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <?xmltex \opttitle{Uncertainties of clustering by the fuzzy $c$-means algorithm}?><title>Uncertainties of clustering by the fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means algorithm</title>
      <p>By manual inspection of the cluster algorithm results, it was found that
occasionally mass spectra were classified falsely by the algorithm,
depending on cluster number and particle type. To take into account
uncertainties of the resulting particle type fractions, the uncertainties
were estimated by means of a reduced, representative data set of the
HCCT-2010 campaign. For this, 1377 single particle mass spectra were
clustered by fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means using the same parameters as described above. The
resulting clusters were assigned to particle types based on their averaged
mass spectrum. Afterwards the individual mass spectra of every particle type
were reviewed manually. For example, 274 particle spectra were sorted into
the particle type “org, K”. The number of mass spectra being assigned
falsely to the considered particle type was determined (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">false</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">positive</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. In the case of “org, K”, 51 mass spectra of
this particle type belonged to a different particle type. The number of mass
spectra being classified falsely to another particle type was also
determined (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">false</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">negative</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. In order to do
this, all other clusters were inspected and the number of mass spectra
belonging to “org, K” was counted. In this example, 43 mass spectra of the
particle type “org, K” were assigned to clusters of other particle types by
the algorithm. Since both false classifications are not dependent on each
other, we chose to apply Gaussian error propagation for the determined
uncertainty of a particle type (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">particle</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">type</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>:

                  <disp-formula id="Ch1.E3" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">particle</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">type</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">false</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">postitve</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">false</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">negative</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            In the case of “org, K”, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">particle</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">type</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>67</mml:mn></mml:mrow></mml:math></inline-formula>, meaning that the error is about 24 % of the absolute
number of mass spectra of this cluster. This reduced test set contained no
particles of the type “mineral dust” and “Ca”. The uncertainty for the
particle type “Ca” was therefore estimated by averaging the uncertainties of
the other particles types, while the particle type “mineral dust” was
further refined by the marker method and the uncertainty was inferred as
explained in Sect. 2.4.3.
Table 2 shows the details of the test data set
along with the resulting uncertainties for the different particle types. In
this test case, a total of 16 % of all mass spectra were assigned to a
wrong particle type. In relation to the absolute number of each particle
type, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">particle</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">type</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ranges between 13
and 50 %. The largest uncertainties are found for the particle types
“diesel exhaust” (50 %), “amines” (35 %), “soot and org” (31 %), and
“K” (30 %). The large error bar of the fraction “others” can be explained
by the exclusion of mass spectra that would have been assigned manually to
an existing particle type. The determined uncertainties were adopted for the
clustering of the total data set.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Overview of particle types and the corresponding determined
uncertainties of the clustering by the fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means algorithm. The particle
types “mineral dust” and “Ca” were not included in the reduced test data
set.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Particle type</oasis:entry>  
         <oasis:entry colname="col2">Number MS</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">false</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">positive</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">false</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">negative</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">particle</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">type</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">particle</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">type</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Org, K</oasis:entry>  
         <oasis:entry colname="col2">274</oasis:entry>  
         <oasis:entry colname="col3">51</oasis:entry>  
         <oasis:entry colname="col4">43</oasis:entry>  
         <oasis:entry colname="col5">67</oasis:entry>  
         <oasis:entry colname="col6">24</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Org</oasis:entry>  
         <oasis:entry colname="col2">162</oasis:entry>  
         <oasis:entry colname="col3">21</oasis:entry>  
         <oasis:entry colname="col4">1</oasis:entry>  
         <oasis:entry colname="col5">21</oasis:entry>  
         <oasis:entry colname="col6">13</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Amines</oasis:entry>  
         <oasis:entry colname="col2">162</oasis:entry>  
         <oasis:entry colname="col3">14</oasis:entry>  
         <oasis:entry colname="col4">54</oasis:entry>  
         <oasis:entry colname="col5">56</oasis:entry>  
         <oasis:entry colname="col6">35</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Soot</oasis:entry>  
         <oasis:entry colname="col2">125</oasis:entry>  
         <oasis:entry colname="col3">4</oasis:entry>  
         <oasis:entry colname="col4">19</oasis:entry>  
         <oasis:entry colname="col5">19</oasis:entry>  
         <oasis:entry colname="col6">15</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Soot and org</oasis:entry>  
         <oasis:entry colname="col2">120</oasis:entry>  
         <oasis:entry colname="col3">12</oasis:entry>  
         <oasis:entry colname="col4">35</oasis:entry>  
         <oasis:entry colname="col5">37</oasis:entry>  
         <oasis:entry colname="col6">31</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Diesel exhaust</oasis:entry>  
         <oasis:entry colname="col2">18</oasis:entry>  
         <oasis:entry colname="col3">8</oasis:entry>  
         <oasis:entry colname="col4">3</oasis:entry>  
         <oasis:entry colname="col5">9</oasis:entry>  
         <oasis:entry colname="col6">50</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Biomass burning</oasis:entry>  
         <oasis:entry colname="col2">223</oasis:entry>  
         <oasis:entry colname="col3">14</oasis:entry>  
         <oasis:entry colname="col4">36</oasis:entry>  
         <oasis:entry colname="col5">39</oasis:entry>  
         <oasis:entry colname="col6">17</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">K</oasis:entry>  
         <oasis:entry colname="col2">106</oasis:entry>  
         <oasis:entry colname="col3">31</oasis:entry>  
         <oasis:entry colname="col4">8</oasis:entry>  
         <oasis:entry colname="col5">32</oasis:entry>  
         <oasis:entry colname="col6">30</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sea salt</oasis:entry>  
         <oasis:entry colname="col2">23</oasis:entry>  
         <oasis:entry colname="col3">3</oasis:entry>  
         <oasis:entry colname="col4">5</oasis:entry>  
         <oasis:entry colname="col5">6</oasis:entry>  
         <oasis:entry colname="col6">26</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Others</oasis:entry>  
         <oasis:entry colname="col2">164</oasis:entry>  
         <oasis:entry colname="col3">68</oasis:entry>  
         <oasis:entry colname="col4">22</oasis:entry>  
         <oasis:entry colname="col5">72</oasis:entry>  
         <oasis:entry colname="col6">44</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Overview of identified particle types and the characteristic peaks
used for the assignment of clusters to a particle type. Additionally the
observed chemical composition of the particle types and the denotation used
in the following (legend) are listed. Secondary inorganic compounds like
nitrate and sulfate were present in every particle type and have therefore
not been used as characteristic signals for the separation of particle
types.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.75}[.75]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="right"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="199.169291pt"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Category</oasis:entry>  
         <oasis:entry colname="col2">Legend</oasis:entry>  
         <oasis:entry colname="col3">Method</oasis:entry>  
         <oasis:entry colname="col4">Characteristic signals</oasis:entry>  
         <oasis:entry colname="col5">Corresponding chemical composition</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">A</oasis:entry>  
         <oasis:entry colname="col2">org, K</oasis:entry>  
         <oasis:entry colname="col3">clustering</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 27 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 39 (K<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 43 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>/CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 51(C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 63 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,77 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>59 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>/C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 12 (C<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,18 (NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 27 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <?xmltex \hack{\hfill\break}?>36 (C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 39 (K<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 43 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 48 (C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">organics, potassium, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">B</oasis:entry>  
         <oasis:entry colname="col2">org</oasis:entry>  
         <oasis:entry colname="col3">clustering</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 27 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 43 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>/CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <?xmltex \hack{\hfill\break}?>C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">organics, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">C</oasis:entry>  
         <oasis:entry colname="col2">amines</oasis:entry>  
         <oasis:entry colname="col3">clustering</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 18 (NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 59 (N(CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">amines, organics, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">D</oasis:entry>  
         <oasis:entry colname="col2">soot</oasis:entry>  
         <oasis:entry colname="col3">clustering</oasis:entry>  
         <oasis:entry colname="col4">C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>n</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>n</mml:mi><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">soot, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">E</oasis:entry>  
         <oasis:entry colname="col2">soot and org</oasis:entry>  
         <oasis:entry colname="col3">clustering</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 18 (NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 27 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>43 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>/CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>n</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>n</mml:mi><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">soot, organics, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">F</oasis:entry>  
         <oasis:entry colname="col2">diesel exhaust</oasis:entry>  
         <oasis:entry colname="col3">clustering</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 23 (Na<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 40 (Ca<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>n</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>n</mml:mi><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">soot, sodium, calcium, nitrate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">G</oasis:entry>  
         <oasis:entry colname="col2">biomass burning</oasis:entry>  
         <oasis:entry colname="col3">clustering</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 39 (K<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>n</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>n</mml:mi><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
<?xmltex \hack{\hfill\break}?> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 23 (Na<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 39 (K<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 43 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>/CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 51(C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>n</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; C<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi>n</mml:mi><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 39 (K<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>26 (CN<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">biomass burning, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">H</oasis:entry>  
         <oasis:entry colname="col2">K</oasis:entry>  
         <oasis:entry colname="col3">clustering</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 39 (K<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>46 (NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>62 (NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,<?xmltex \hack{\hfill\break}?> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>97 (HSO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">potassium, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">I</oasis:entry>  
         <oasis:entry colname="col2">sea salt</oasis:entry>  
         <oasis:entry colname="col3">clustering</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 23 (Na<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 39 (K<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>46 (NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>62 (NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>97 (HSO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">sodium, potassium, nitrate, sulfate (aged sea salt)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">J</oasis:entry>  
         <oasis:entry colname="col2">Ca</oasis:entry>  
         <oasis:entry colname="col3">clustering</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 40 (Ca<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, 57 (CaOH<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">calcium, soot, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">K</oasis:entry>  
         <oasis:entry colname="col2">mineral dust</oasis:entry>  
         <oasis:entry colname="col3">clustering &amp; marker peak</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 56 (Fe<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">iron, sodium, potassium, calcium, nitrate, sulfate, phosphate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">L</oasis:entry>  
         <oasis:entry colname="col2">Fe, V</oasis:entry>  
         <oasis:entry colname="col3">marker peak</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 56, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 51, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 67</oasis:entry>  
         <oasis:entry colname="col5">vanadium, iron, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">N</oasis:entry>  
         <oasis:entry colname="col2">Ni</oasis:entry>  
         <oasis:entry colname="col3">marker peak</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 58</oasis:entry>  
         <oasis:entry colname="col5">nickel, iron, vanadium, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">M</oasis:entry>  
         <oasis:entry colname="col2">Pb</oasis:entry>  
         <oasis:entry colname="col3">marker peak</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 208</oasis:entry>  
         <oasis:entry colname="col5">lead, sodium, nitrate, sulfate</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">O</oasis:entry>  
         <oasis:entry colname="col2">others</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS4.SSS3">
  <title>Particle type identification by marker peaks</title>
      <p>In addition to the clustering method that compares the whole mass spectra of
the individual particles, it is also useful to search for certain marker
peaks, especially in cases when these peaks are of small intensity such that
they do not influence the correlation of two mass spectra and therefore do
not show up in the clustering results. A typical example would be looking
for metals (e.g. lead) or rarely appearing particle types (Dall'Osto et
al., 2004; Tolocka et al., 2004; Snyder et al., 2009). By the marker method
it was possible to identify two different particle types characterised by
the abundance of iron, namely “mineral dust” and “Fe, V” (iron internally
mixed with vanadium). Besides Fe<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> other indicators for mineral dust are
Na<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 23) and K<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 39) (Silva et al., 2000; Hinz et al.,
2006; Dall'Osto et al., 2010), whereas vanadium (V<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 51) originates
from fuel combustion (Tolocka et al., 2004; Korn et al., 2007;
Ault et al., 2010) and industrial sources like refineries (Dall'Osto et
al., 2004; Ault et al., 2009) than from mineral dust. Details on the
classification of iron-containing particles can be found in the
supplementary material (Sect. 4, Fig. S7).</p>
      <p>The method is also suitable for investigating the particle mixing state when
looking at the abundance of, e.g. nitrate and sulfate independent of the
particle type. Uncertainties for particle types derived by the marker method
were estimated using counting statistics (square root of absolute number of
counted particles).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS4">
  <title>Combined analysis using clustering and marker peaks</title>
      <p>In order to optimise the data analysis and as a consequence of the two
preceding sections, we chose to apply a combined method of clustering and
marker peaks: after the clustering, the fraction “others” has been
additionally investigated by marker peaks of lead, nickel, vanadium, and
iron. Also the particle type characterised by iron inferred from the
clustering method was analysed further using the marker peak method,
resulting in two particle types: one interpreted as mineral dust and the
other consisting of iron internally mixed with vanadium (“Fe, V”), belonging
probably to an industrial source. Using the combined method of clustering
and marker peak analysis, a total of 14 particle types plus “others” were
identified. A summary of the resulting particle types, the applied method
and their characteristic signals for identification as well as the
corresponding chemical composition in the mass spectra are listed in
Table 3. Due to the fact that all particle types
were internally mixed with secondary inorganic compounds like nitrate and
sulfate, these compounds are not explicitly mentioned in the legend. The
mean positive and negative mass spectra of the 14 particle types plus the
averaged remaining mass spectra (“others”) are shown in
Fig. 2. An overview of all cluster types obtained
by the clustering method can be found in the Supplement (Figs. S3–S6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Mean positive (left) and negative (right) mass spectra
representative of the particle types “org, K”, “org”, “amines”,
“soot”, “soot and org”, “diesel exhaust”, “biomass burning”, “K”,
“sea salt”, “Ca”, “mineral dust”, “Fe,V”, “Ni”, “Pb” (with
the separation of the Pb isotopes clearly visible), and “others”.</p></caption>
            <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f02.pdf"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Size-resolved aerosol composition and identification of local
sources</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Size-resolved aerosol composition of the resulting particle
types detected by the ALABAMA, binned into 50 nm size intervals. The
absolute number of analysed particles per size class is given by the grey
line.
</p></caption>
          <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f03.pdf"/>

        </fig>

      <p>Figure 3 shows the size-resolved particle
composition for all particles (not separated for out-of-cloud aerosol and
cloud residues). The relative fraction of all particles in the specific size
class is given in order to eliminate the size-dependent detection efficiency
of the ALABAMA  (Brands et al., 2011). The total
number of analysed particles per size bin is given by the grey line. The
maximum of the analysed particles lies in the size range between 500 and 550 nm, due to the best detection and ablation efficiency of the ALABAMA in this
size range. The particle types shown in Fig. 3
refer only to the results obtained by the fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means clustering; thus, the
particle types “Fe, V”, “Ni”, and “Pb” are contained in the type “others”.
The most abundant particle types are “org, K”, “biomass burning”, and
“soot”
(see also Table 4). The particle types “diesel
exhaust” as well as “soot, org” only appear significantly at small vacuum
aerodynamic diameters between 200 and 450 nm. This indicates that these
particles were recently emitted and had no time grow by condensation or
coagulation. In contrast, the particle types “org”, “amines”, and “soot” are
observed only with diameters larger than 450 nm. This agrees with the
observation that all analysed soot particles were internally mixed with
nitrate and sulfate (see Sect. 3.4) and
indicates that these soot particles were aged and have been processed and
coated. Particles of the type “biomass burning” and “org, K” are found in
all size classes, although the type “org, K” has a clear maximum between 400
and 500 nm.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p>Absolute and relative particle numbers detected by ALABAMA
during the HCCT-2010 campaign. The percentage of each particle type is
subdivided into the fraction revealing a diurnal trend and into the fraction
without diurnal trend. All percentages refer to the total number of 177 752
analysed particles.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Particle</oasis:entry>  
         <oasis:entry colname="col2">Total</oasis:entry>  
         <oasis:entry colname="col3">Percentage</oasis:entry>  
         <oasis:entry colname="col4">Number in clusters</oasis:entry>  
         <oasis:entry colname="col5">Percentage with</oasis:entry>  
         <oasis:entry colname="col6">Number in clusters</oasis:entry>  
         <oasis:entry colname="col7">Percentage w/o</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">type</oasis:entry>  
         <oasis:entry colname="col2">number</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">with diurnal trend</oasis:entry>  
         <oasis:entry colname="col5">diurnal trend</oasis:entry>  
         <oasis:entry colname="col6">w/o diurnal trend</oasis:entry>  
         <oasis:entry colname="col7">diurnal trend</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Org, K</oasis:entry>  
         <oasis:entry colname="col2">57 163</oasis:entry>  
         <oasis:entry colname="col3">32.2</oasis:entry>  
         <oasis:entry colname="col4">27 344</oasis:entry>  
         <oasis:entry colname="col5">15.4</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>  
         <oasis:entry colname="col7">16.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Org</oasis:entry>  
         <oasis:entry colname="col2">6295</oasis:entry>  
         <oasis:entry colname="col3">3.54</oasis:entry>  
         <oasis:entry colname="col4">6290</oasis:entry>  
         <oasis:entry colname="col5">3.54</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>  
         <oasis:entry colname="col7">0.00281</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Amines</oasis:entry>  
         <oasis:entry colname="col2">4910</oasis:entry>  
         <oasis:entry colname="col3">2.76</oasis:entry>  
         <oasis:entry colname="col4">4910</oasis:entry>  
         <oasis:entry colname="col5">2.76</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>  
         <oasis:entry colname="col7">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Soot</oasis:entry>  
         <oasis:entry colname="col2">25 981</oasis:entry>  
         <oasis:entry colname="col3">14.6</oasis:entry>  
         <oasis:entry colname="col4">23 546</oasis:entry>  
         <oasis:entry colname="col5">13.2</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>  
         <oasis:entry colname="col7">1.37</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Soot, org</oasis:entry>  
         <oasis:entry colname="col2">3931</oasis:entry>  
         <oasis:entry colname="col3">2.21</oasis:entry>  
         <oasis:entry colname="col4">2878</oasis:entry>  
         <oasis:entry colname="col5">1.62</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>  
         <oasis:entry colname="col7">0.592</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Diesel exhaust</oasis:entry>  
         <oasis:entry colname="col2">994</oasis:entry>  
         <oasis:entry colname="col3">0.559</oasis:entry>  
         <oasis:entry colname="col4">994</oasis:entry>  
         <oasis:entry colname="col5">0.559</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>  
         <oasis:entry colname="col7">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Biomass burning</oasis:entry>  
         <oasis:entry colname="col2">49 873</oasis:entry>  
         <oasis:entry colname="col3">28.1</oasis:entry>  
         <oasis:entry colname="col4">37 505</oasis:entry>  
         <oasis:entry colname="col5">21.1</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>  
         <oasis:entry colname="col7">6.96</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">K</oasis:entry>  
         <oasis:entry colname="col2">10 052</oasis:entry>  
         <oasis:entry colname="col3">5.66</oasis:entry>  
         <oasis:entry colname="col4">9035</oasis:entry>  
         <oasis:entry colname="col5">5.08</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>  
         <oasis:entry colname="col7">0.572</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sea salt</oasis:entry>  
         <oasis:entry colname="col2">1927</oasis:entry>  
         <oasis:entry colname="col3">1.08</oasis:entry>  
         <oasis:entry colname="col4">0</oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">1927</oasis:entry>  
         <oasis:entry colname="col7">1.08</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Others</oasis:entry>  
         <oasis:entry colname="col2">13 967</oasis:entry>  
         <oasis:entry colname="col3">7.86</oasis:entry>  
         <oasis:entry colname="col4">0</oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">13 967</oasis:entry>  
         <oasis:entry colname="col7">7.86</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ca</oasis:entry>  
         <oasis:entry colname="col2">263</oasis:entry>  
         <oasis:entry colname="col3">0.148</oasis:entry>  
         <oasis:entry colname="col4">0</oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">263</oasis:entry>  
         <oasis:entry colname="col7">0.148</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mineral dust</oasis:entry>  
         <oasis:entry colname="col2">756</oasis:entry>  
         <oasis:entry colname="col3">0.425</oasis:entry>  
         <oasis:entry colname="col4">0</oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">756</oasis:entry>  
         <oasis:entry colname="col7">0.425</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Fe, V</oasis:entry>  
         <oasis:entry colname="col2">569</oasis:entry>  
         <oasis:entry colname="col3">0.242</oasis:entry>  
         <oasis:entry colname="col4">0</oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">569</oasis:entry>  
         <oasis:entry colname="col7">0.32</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ni</oasis:entry>  
         <oasis:entry colname="col2">641</oasis:entry>  
         <oasis:entry colname="col3">0.361</oasis:entry>  
         <oasis:entry colname="col4">0</oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">641</oasis:entry>  
         <oasis:entry colname="col7">0.361</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Pb</oasis:entry>  
         <oasis:entry colname="col2">430</oasis:entry>  
         <oasis:entry colname="col3">0.242</oasis:entry>  
         <oasis:entry colname="col4">0</oasis:entry>  
         <oasis:entry colname="col5">0</oasis:entry>  
         <oasis:entry colname="col6">430</oasis:entry>  
         <oasis:entry colname="col7">0.242</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Total</oasis:entry>  
         <oasis:entry colname="col2">177 752</oasis:entry>  
         <oasis:entry colname="col3">100</oasis:entry>  
         <oasis:entry colname="col4">112 502</oasis:entry>  
         <oasis:entry colname="col5">63.3</oasis:entry>  
         <oasis:entry colname="col6">65 250</oasis:entry>  
         <oasis:entry colname="col7">36.7</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p><bold>(a)</bold> Wind rose showing wind speed and direction for the whole
time period. <bold>(b)</bold> Absolute number of analysed particles per wind direction. <bold>(c)</bold>
Same as <bold>(b)</bold> but normalised to the measurement time per wind direction.</p></caption>
          <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f04.pdf"/>

        </fig>

      <p>Figure 4 shows the number of detected particles as
a function of the local wind direction at the Schmücke. Panel a gives
the standard wind rose for the whole time period. The dominating wind
direction was south-west, with about 50 % probability for wind directions
between 200 and 270<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. This direction corresponds to the
requirements for cloud events. The absolute number of detected particles is
given in panel b, showing that the majority of the detected particles were
measured when the wind came from south-west. However, as shown in panel c,
per unit of time more particles were detected when the local wind direction
was between 0 and 90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. In these directions lie several larger
cities (Erfurt, Weimar, Jena; see map in Fig. S1) such that in general a
higher pollution level may be expected.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Time series (top) and diurnal variations (bottom, LT) of the
particle type “diesel exhaust” during HCCT-2010. Markers denote the mean
values, the grey shaded area represents the upper quartile.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f05.pdf"/>

        </fig>

      <p>Several particle types show a distinct diurnal pattern, indicating a source
with a specific emission pattern. The fact that the emission pattern is
detectable at the measurement site suggests that the source is not too far
away, such that the diurnal pattern is not smoothed by different air mass
transport velocities and different wind directions. An example is shown in
Fig. 5. The figure shows the complete time series
for the particle type “diesel exhaust” (upper panel) and the averaged
diurnal pattern (lower panel). The diurnal pattern shows the increased
occurrence of particles of this type between 09:00 and 24:00 LT and a decrease
of this particle type during the night. This indicates the contribution of
traffic emissions from within 1 or 2 hours from the measurement site
(local traffic typically starts around 07:00 in the morning). All clusters
contained in each particle type were inspected for such a diurnal trend.
From this the amount of particle influences by local or regional sources
were obtained. Table 4 shows the relative abundance
of the particle types during HCCT-2010 along with the percentage of clusters
showing diurnal variations and those not showing a diurnal trend. In total,
about 63 % of the analysed particles belong to clusters indicating a
diurnal variation. This finding implies that the aerosol composition during
HCCT-2010 is mainly influenced by local and regional sources.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Comparison of out-of-cloud aerosol and cloud residues</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Aerosol composition of out-of-cloud aerosol (left) and cloud
residual particles (right) for the entire HCCT-2010 campaign. Uncertainties
of the clustering were estimated according to Sect. 2.4.2. In case of particle types determined by the
marker peak method (Sect. 2.4.3) uncertainties
are based on Poisson statistic. Number of analysed particles: out-of-cloud
aerosol: 164 595, cloud residues: 13 157. Note that the scale is expanded by a
factor of 10 below the dashed line (bottom axis), particle abundances above
the dashed line refer to the top axis.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f06.pdf"/>

        </fig>

      <p>One of the main objectives of this study was the analysis of cloud residues
and the comparison to the aerosol composition under cloud-free conditions.
Figure 6 shows the average aerosol particle
composition for all out-of-cloud aerosol particles and all cloud residues
measured during HCCT-2010, not restricted to the full cloud events. It has
to be noted that measurements of cloud residues and out-of-cloud aerosol can
by definition not be made simultaneously, such that differences in the
meteorological condition influences such a comparison. In the following we
will compare the relative abundance of the individual particle types between
cloud residues and out-of-cloud aerosol.</p>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Organic particle types</title>
      <p>For both organic particle types (“org, K” and “org”) the relative abundance
in cloud residues is smaller than in the out-of-cloud aerosol. This
observation may partly be in contradiction with previous measurements
reported in the literature. For example, measurements of cloud residue
composition by Drewnick et al. (2007) using an Aerodyne AMS reported
increased organic mass fractions in cloud residues. However, these
measurements are hard to compare because AMS data are based on average
aerosol mass while the ALABAMA data are based on single particle analysis.
Furthermore, Drewnick et al. (2007) did not consider refractory species
in the aerosol composition and did not separate the organic mass into
different subgroups. For example, in our study the particle types “soot” and
“biomass burning” reveal a significant fraction of the aerosol composition
(see below), and aerosol originating from biomass burning can be a
significant fraction of the “organic” aerosol mass reported by the AMS
(e.g. Lanz et al., 2010; Crippa et al., 2013, 2014). The
AMS data from the HCCT-2010 campaign that are presented in a companion paper
(Schneider et al., 2016) show a slightly lower scavenging
efficiency for organics than for nitrate and sulfate. In-cloud scavenging
of organic particles depends on the solubility of the organic compounds
(Limbeck and Puxbaum, 2000). The slightly lower scavenging efficiency may
therefore be explained by the lower solubility of hydrophobic organic
compounds like aromatics, whose fragments were frequently observed in our single
particle mass spectra (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 51), C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 77), C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 115); see mass spectrum “org,
K_2” in Fig. S3).</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Amine-containing particles</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Time series (LT) of the amine compounds methylamine (MA),
dimethylamine (DMA), and trimethylamine (TMA) from cloud water samples on 2 October 2010 (FCE11.2 and FCE 11.3) compared to the time series (number of
mass spectra per hour) of amine-containing cloud residues. The upper panel
shows the liquid water content (LWC) and the FCE times.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f07.pdf"/>

          </fig>

      <p>Several characteristic peaks for amines have been reported in the
literature, the most common appear to be <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59 ((CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 74 ((C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</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>NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (Angelino et al., 2001;
Pratt et al., 2009; Rehbein et al., 2011; Zhang et al., 2012; Healy et al.,
2014a). We observed a particle type with the abundance of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59 and to a
lesser degree also <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 74 (Fig. 2) that we
interpret as organic particles that contain amines. In addition, the
fragmentation patterns of several single particle mass spectra show peaks at
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 86 ((C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</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>NCH<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 101 (molecular peak
of trimethylamine, TMA) indicating detection of TMA
(Angelino et al., 2001). Interestingly, the relative
fraction of mass spectra that contain signatures for amines is increased in
the cloud residues (Fig. 6). Thus, the time
series of the characteristic marker peak <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59 was compared to the
concentrations of TMA, dimethylamine (DMA), and methylamine (MA) measured in
the cloud water samples by ion chromatography
(Fig. 7). Caution is required because cobalt is
an isobar to the amine fragment (CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59. But since
cobalt was detected during HCCT-2010 only in very low concentration in the
cloud water samples (Fomba et al., 2015), we
ascribe the signal at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59 to amine compounds. Due to the fact that cloud
water sampling was not done continuously, the time series of ALABAMA and the
amine species are only partly comparable. A reasonably good agreement is
observed between the number of amine containing mass spectra per hour and
the mass concentration of TMA (Pearson's <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.60) except for the
disagreement around 17:00. Amine compounds in the atmosphere can originate
from various sources (Ge et al., 2011). Other than from animal
husbandry and biomass burning (Schade and Crutzen,
1995), TMA, DMA, and MA can originate from, e.g. industrial processes
(Ge et al., 2011) and have been observed in ambient air
(Chang et al., 2003; Sellegri et al., 2005). An enhanced partitioning for
gas phase TMA on pre-existing particles coated by an
aqueous layer was observed at high relative humidity and low temperature
(Rehbein et al., 2011; Zhang et al., 2012); thus the generally increased
abundance of amines in cloud water may not be surprising. Whether amines
remain in the aerosol phase after cloud droplet evaporation remains unclear,
but may play an important role in cloud processing of aerosol particles.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <title>Biomass burning and soot</title>
      <p>The results also show an increased fraction of the particle type “soot” in
cloud residues. Freshly emitted soot particles are hydrophobic and do not
serve as CCN at realistic supersaturations (Dusek et al., 2006a; Koehler
et al., 2009). Nevertheless, it was observed in several studies that soot is
more efficiently activated than organic particles (Hitzenberger et al.,
2000; Sellegri et al., 2003). The size-resolved aerosol composition (see
Fig. 3) shows that the observed “soot” particles
were mainly larger than 450 nm, leading to the conclusion that mostly aged
soot particles were analysed by the mass spectrometer. Furthermore, the
“soot” clusters reveal internal mixtures with soluble inorganic compounds
like nitrate or sulfate, which is presumably leading to activation of these
particles at lower critical supersaturation (Dusek et al., 2006a; Henning
et al., 2010). Internally mixed particles can either develop from
condensation of secondary compounds on pre-existing particles or from
coagulation with hygroscopic particles, or cloud droplets. Due to
the fact that even the out-of-cloud aerosol particles that contain soot are
internally mixed with secondary inorganic compounds, the increased fraction
of soot particles in cloud residues can rather be explained by a good CCN
activity of hygroscopic soot particles than caused by in-cloud impaction
scavenging. Aging of atmospheric soot particles by coating with sulfate and
nitrate has been observed using single particle mass spectrometry by
Pratt and Prather (2010) as well as by Moffet and Prather (2009). The authors concluded that such processing of soot particles in the
urban environment of Mexico City takes about 3 hours. Although in a
cleaner environment than Mexico City coating by nitrate and sulfate will
likely be slower, it appears to be a reasonable explanation for the findings
that soot-containing particles internally mixed with nitrate and sulfate
are efficiently activated as CCN and are therefore enhanced in cloud
residues. Similar findings have been reported for growth factors of coated
black carbon particles measured in Paris using a hygroscopic tandem
differential mobility analyser and a single particle mass spectrometer
(Healy et al., 2014b). The mass-based scavenging efficiency of
soot particles in our study was found to be markedly lower than that of
sulfate or nitrate (Schneider et al., 2016), confirming the
assumption that the large soot-containing particles (<inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 450 nm)
found in the cloud residues contain soot only as a minor mass fraction.</p>
      <p>The relative percentage of biomass burning particles occurring in the
out-of-cloud aerosol does not differ much from that in the cloud residues.
In agreement with previous observations (Ross et al., 2003; de Villiers
et al., 2010) this implies that aerosol from biomass burning is an effective
CCN, resulting from a high content of soluble organic and inorganic
compounds in the particles (Silva et al., 1999; Posfai et al., 2003;
Andreae and Rosenfeld, 2008; Pratt et al., 2011).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Time series (local time) of combustion-related parameters
observed during HCCT-2010. <bold>(a)</bold> Temperature, <bold>(b)</bold> equivalent black carbon (EBC)
together with the particle type “soot” (blue), <bold>(c)</bold> EBC along with the
particle type biomass burning (brown), <bold>(d)</bold> EBC along with the biomass burning
aerosol inferred from AMS data (green).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f08.pdf"/>

          </fig>

      <p>The high percentage of particles originating from combustion processes
(“soot”, “biomass burning”, “diesel exhaust”) of about 43 %
(Fig. 6) is investigated more closely in the
following. Figure 8 shows the time series of the
particle types “soot” (blue, Fig. 8b) and the sum
of all particle types containing elemental carbon (brown,
Fig. 8c) observed by ALABAMA, along with
temperature, concentration of equivalent black carbon (EBC) measured by the
MAAP, and the biomass burning aerosol inferred from AMS data (green,
Fig. 8d). The latter was estimated from the AMS
data based on the marker peak at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60 for Levoglucosan, which is an
indicator for biomass burning (Simoneit et al., 1999; Schneider et al.,
2006; Alfarra et al., 2007). Conversion of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>60</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (fraction of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60 in
the total organic signal) into mass concentration was demonstrated by Weimer (2008) and Crippa et al. (2014). The time series of the
“soot”
particle type agrees only partly with the time series of EBC. A better
agreement (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.47) is reached if the time series of all clusters
containing elemental carbon in the mean mass spectra (“soot”, “diesel
exhaust”, “biomass burning”) is compared to EBC. The three data sets (MAAP,
ALABAMA, AMS) allow for the attribution of the events shown in
Fig. 8 with enhanced EBC concentrations to
different particle types: the event on 24 September 2010 (blue frame) is not
caused by biomass burning but from combustion of other (most likely fossil)
fuel (like coal, oil, diesel), because the biomass burning marker remains
low. In contrast, the events from 10 to 15 October 2010 and
from 17 to 19 October 2010 (green frame) can be mainly
attributed to biomass burning. The short data gap on 17 October is due to
technical issues. Furthermore, the EBC concentration and the percentage of
biomass burning particles rise with decreasing temperature
(Fig. 8a). This can be attributed to the
beginning of heating period and consequently increased heating after 1 October 2010 leading to increased emission of from local and regional
residential heating in the city Suhl and other smaller cities and villages
in south-westerly direction (compare also Sect. 3.3).</p>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <title>Mineral dust and metals</title>
      <p>Except for the particle type “Ca”, the number fractions of mineral dust and
metallic particle types (“Fe, V”, “Ni”, and “Pb”) are markedly enhanced in
the cloud residues. All these particles contain nitrate and sulfate, too
(see Fig. 2); thus, the good activation or
scavenging efficiency is likely caused by the soluble compounds in these
particles. The presence of metals in cloud droplets has important
implications for the oxidation of sulfur-containing species in the aqueous
phase. Catalytic oxidation of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to sulfate by transition metals as
Fe and Mn (Calvert et al., 1985), but also Ti
(Harris et al., 2013) and V (Ault et al., 2010)
is a process that has long been recognised (Calvert et al., 1985;
Bradbury et al., 1999), but data obtained during HCCT2010 have shown that
this process is of higher importance than previously thought
(Harris et al., 2013). In marine environments, dimethyl sulfide
can be catalytically oxidised by vanadium to methanesulfonic acid
(Gaston et al., 2010). Enrichment of these transition metals
in cloud droplets may be explained by cloud processing: transition
metal-catalysed sulfate production in the cloud droplets leads to a higher
sulfate content of the metal-containing aerosol particles remaining after
cloud evaporation and thereby to a better activation of these particles in
the next cloud formation process.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Cloud residue analysis for the full cloud events</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Cloud residue composition during full cloud events (FCE).
The number of obtained single particle mass spectra and the mean EBC
concentration per event is given below the graph. Only FCE with more than
100 mass spectra are included (see Table 1).</p></caption>
          <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f09.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>HYSPLIT back trajectories (96 h) for air masses
encountered during the FCE displayed in Fig. 9.
Left: FCE with low soot particle abundance; right: FCE with high soot
particle abundance. Trajectory end point: Schmücke (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>10</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn>46</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn>15</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> E, <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>50</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn>39</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn>19</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> N; 500 m above model ground level).
Temporal difference between successive trajectories: 2 h.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f10.pdf"/>

        </fig>

      <p>In the following the selected FCEs (see
Table 1) will be analysed in more detail. These
cloud events represent a subset of all cloud measurements and are referring
to certain conditions that were given in detail in Tilgner et al.
(2014). The composition of the cloud
residual particles measured during the individual FCE during HCCT-2010 are
shown in Fig. 9. Also given are the number of
analysed mass spectra and the averaged mass concentration of equivalent
black carbon measured in the interstitial aerosol during the events. Only
FCE with sufficient (<inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 100) number of mass spectra are
considered. These individual events show large event-to-event variability,
especially in the fraction of particles of the type “soot”. Four FCE are
characterised by a markedly higher fraction of “soot” particles, namely FCE
7.1, 11.2, 11.3, and 13.3, all of them between 24 September and 6 October.
These events are also characterised by a high absolute mass concentration of
EBC, especially FCE 11.2 and FCE 13.3 with about 300 ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> of EBC. To
further investigate this finding, the origin of the air masses encountered
during these FCE is inspected by means of back trajectories.
Figure 10 displays the 96 h back trajectories,
separated for the “low-soot FCE” (left) and the “high-soot FCE” (right). It
becomes clear that the air masses encountered during the “low-soot FCE”
arrive mainly from west/north-west and have spent a considerable amount of
the 96 h prior to the measurement over the Atlantic Ocean (see also
Fig. S1 in the Supplement  to Tilgner et al.,
2014). These air masses had less
opportunity to accumulate pollution particles over the continent. In
contrast, the “high-soot” air masses arrive more from south/south-west and
have travelled slower, therefore having spent more of the previous 96 h
over land, leading to higher accumulation of anthropogenic emitted
particles like soot. An exceptional case is FCE 22.0 (included in the left
graph of Fig. 10), where the air masses arrive
from east/north-east, although the local wind direction was south-west (as a
prerequisite for an FCE). This air mass contained the highest fraction of
biomass burning particles of all FCE and the highest number of mass spectra
per event and time (1561 spectra in only 7.2 h, see
Table 1). It has to be noted here that the full
cloud events may not be representative for the general situation for clouds
at the Schmücke, because of the selected data set. The composition data
for the FCE are based on 4400 mass spectra, while for the composition of all
cloud residues (Fig. 6) more than 13 000 mass
spectra were analysed. For example, the required prerequisite that the local
wind direction for an FCE has to be south-west, air masses of all FCE pass
the city of Suhl located south-west of the Schmücke, which may lead to a
higher relative amount of anthropogenic particles and a higher influence of
local and regional emissions in the full cloud events compared to the
general case. On the other hand, the analysis of the diurnal cycles in
Sect. 3.1 has shown that in general local and
regional sources have a high influence on the aerosol particle abundance.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <title>Change of particle mixing state by cloud processing</title>
      <p>As mentioned before, all identified particle types indicate internal
mixtures with nitrate, sulfate, or both species. Therefore, the clustering
algorithm cannot provide information about the mixing state of the particles from
out-of-cloud to inside of the cloud. Therefore, the mixing state of the
particles with nitrate and sulfate was investigated by means of the
characteristic marker peaks <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>62 (NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>97
(HSO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p>Cloud and out-of-cloud periods (local time) used for the
investigation of the mixing state of the particles.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Event</oasis:entry>  
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">Out-of-cloud aerosol </oasis:entry>  
         <oasis:entry namest="col5" nameend="col7" align="center">Cloud residues </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">start</oasis:entry>  
         <oasis:entry colname="col3">end</oasis:entry>  
         <oasis:entry colname="col4">mass spectra</oasis:entry>  
         <oasis:entry colname="col5">start</oasis:entry>  
         <oasis:entry colname="col6">end</oasis:entry>  
         <oasis:entry colname="col7">mass spectra</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">I</oasis:entry>  
         <oasis:entry colname="col2">15-09-2010, 11:00</oasis:entry>  
         <oasis:entry colname="col3">15-09-2010, 23:30</oasis:entry>  
         <oasis:entry colname="col4">1732</oasis:entry>  
         <oasis:entry colname="col5">14-09-2010, 11:00</oasis:entry>  
         <oasis:entry colname="col6">15-09-2010, 02:00</oasis:entry>  
         <oasis:entry colname="col7">1351</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">II</oasis:entry>  
         <oasis:entry colname="col2">21-10-2010, 14:15</oasis:entry>  
         <oasis:entry colname="col3">21-10-2010, 22:15</oasis:entry>  
         <oasis:entry colname="col4">1410</oasis:entry>  
         <oasis:entry colname="col5">21-10-2010, 23:24</oasis:entry>  
         <oasis:entry colname="col6">22-10-2010, 09:29</oasis:entry>  
         <oasis:entry colname="col7">577</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>To compare cloud residues and out-of-cloud aerosol, we selected air masses
with comparable origins based on HYSPLIT back trajectories for in-cloud and
out-of-cloud conditions. As an additional criterion it was required that the
local wind direction at the Schmücke was constant. The listed events
“I”
and “II” in Table 5 fulfilled these criteria. These
events differ slightly from the defined FCEs because the criteria for the
FCEs were not taken into account here. The cloud sampling phase of event
“I”
corresponds mostly to FCE1.1, while that of event “II” is a part of FCE24.0.
During event “I” the air masses for in-cloud and out-of-cloud conditions
both arrived from France, while air masses for both conditions during event
“II” passed over England.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Indications for a change of the mixing state of the particles in the
cloud (for details of event I and II see Table 5).
Left: percentage of out-of-cloud aerosol particles and cloud residues
containing either nitrate (blue) or sulfate (red). Right: particles
containing only nitrate but no sulfate (blue), only sulfate but no nitrate
(red), and particles containing both nitrate and sulfate (purple).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f11.pdf"/>

        </fig>

      <p>The characteristic marker peaks <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>62 and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>97 in the single particle
mass spectra of the events “I” and “II” show that only less than 1 % of
the out-of-cloud aerosol particles contained neither nitrate nor sulfate
for both events. Thus, 99 % of the out-of-cloud aerosol particles were
already internally mixed with secondary inorganic compounds before passing
the cloud. Such a high percentage of particles being internally mixed with
secondary inorganic compounds were also found by single particle mass
spectrometry during other studies in California (Cahill et
al., 2012) or Harrow (Jeong et al., 2011). However, we observed an
increase of the particle fraction containing nitrate in the cloud residues
compared to the out-of-cloud aerosol, and the same finding holds for
sulfate (Fig. 11, left). This can be explained
by a more detailed analysis of the mixing state of the particles, distinguishing
between particles containing only nitrate, only sulfate or both nitrate and
sulfate (Fig. 11, right). Particles internally
mixed only with sulfate (i.e. containing no nitrate) represent in general a
minor fraction (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 3 %). For both analysed events the percentage of
particles containing only nitrate and only sulfate was smaller in case of
cloud residues compared to the out-of-cloud aerosol while the percentage of
particles with nitrate and sulfate was increased. This observed increase
indicates a sulfate addition to those particles that contained only
nitrate, but also a nitrate addition to those particles that contained only
sulfate. In the cloud residues, particles not containing nitrate can almost
not be found. It must be noted that relative percentages of out-of-cloud
aerosol particles internally mixed with secondary inorganics added for both
events are less than the 99 % inferred above, due to the different
threshold values that had to be used for the definition whether a peak is
present in a mass spectrum or not (see Supplement, Sect. S3). This addition
of sulfate and nitrate (and possibly also of organic components as amines,
see Sect. 3.2.2) by cloud processing can also be observed
in a size shift of the analysed particles. Figure 12 shows the size histograms of the particles analysed by ALABAMA during
event I and II. In both cases a shift in the histogram to larger sizes is
observed. The activation of CCN to cloud droplets is usually occurring at
much smaller sizes (activation diameters upwind of the Schmücke have
been observed to range between 123 and 194 nm;
Henning et al., 2014), such that the
observed size shift by ALABAMA can very likely be attributed to the uptake
of gaseous species by the cloud droplets, leading to a size increase of the
residual particles.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Histograms of particles analysed by ALABAMA during event I
and event II (Table 5). In both cases the
histograms are shifted to larger sizes for the cloud residues, indicating
the uptake of gaseous compounds by the cloud droplets leading to an
increased size of the cloud residual particles compared to the out-of-cloud
particles measured shortly before cloud formation.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/505/2016/acp-16-505-2016-f12.pdf"/>

        </fig>

      <p>These two case studies demonstrate the change of the mixing state of the particles
by chemical processes inside the cloud liquid phase. Similar observations
were found earlier in numerous studies (e.g. Laj et al., 1997b; Sellegri
et al., 2003; Brüggemann et al., 2005; McFiggans et al., 2006; Hayden et
al., 2008; Zelenyuk et al., 2010). The enrichment of nitrate was also
observed by simultaneous measurements with an AMS providing evidence of an
increased mass concentration of nitrate in cloud residues compared to
interstitial and out-of-cloud aerosol (Schneider et al., 2016).
Such an enhancement of nitrate in cloud droplets can be explained by the
uptake of gaseous nitric acid into the cloud droplets (Tilgner et al.,
2005; Hayden et al., 2008). Enrichment of sulfate in cloud droplets can
occur via different pathways. Besides the uptake of gaseous H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
and the scavenging of ultrafine particulate matter also the uptake of
SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with subsequent oxidation plays a role
(Harris et al., 2014). Furthermore Harris et al. (2013) could prove that besides the known SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> oxidation by
H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> also the oxidation with O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> catalysed by transition
metals plays a significant role in sulfate production. Despite the low
number concentration of activated mineral dust particles in general, it
became apparent that SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> oxidation was mainly catalysed by dissolved
transition metals during HCCT-2010. As it was shown in this study,
transition metals were also detected by the ALABAMA (see Table 2).</p>
      <p>Furthermore, the aerosol hygroscopicity was investigated in the same field
experiment before and after cloud formation at the valley sites. In
agreement with the described results, the hygroscopicity of the particles
was found to be increased after passing the cloud (up to 50 %, see Henning
et al. (2014). By means of the above
described processes, water-soluble material is enriched inside the particles
while being processed by the cloud. After evaporation of the cloud the
water-soluble material it is likely to remain in the particles, thereby
increasing their hygroscopicity. This process will occur in all cloud
droplets formed from all CCN sizes, and therefore also influence the CCN
properties of aerosol particles smaller than analysed here. For small
aerosol particles that are in the size range of the activation diameter for
a specific supersaturation the chemical composition plays an important role
for the activation.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Summary and conclusions</title>
      <p>During the HCCT-2010 campaign, more than 170 000 aerosol particles and more
than 14 000 cloud residual particles were analysed by single particle mass
spectrometry. The data evaluation was done by a combination of the
clustering algorithm fuzzy <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>-means and the marker peak method, resulting in
14 different particle types. From the diurnal trends of the occurrence of
these particle types, the influence of local and regional sources on the
aerosol composition was estimated to be about 63 %. Especially the
particle types “soot” and “biomass burning” could be allocated to local or
regional sources. The single particle data further allowed for a better
attribution of equivalent black carbon to different sources, as fossil fuel
burning or biomass burning. Important local sources are the city Suhl in the
predominant wind direction, together with the beginning of the heating
period in October, leading to increased biomass burning signatures.</p>
      <p>Analysis of the cloud residues revealed that the relative percentage of soot
and amines is increased compared to out-of-cloud aerosol. Analysis of cloud
water samples by ion chromatography showed that amines were mainly found in
the form of trimethylamine. The increased fraction of soot can be explained
by processing of soot particles leading to coating by nitrate and sulfate,
which is known to occur in a few hours. In addition the size-resolved
aerosol composition reveals that the detected particles containing soot are
larger than 450 nm. Both facts suggest that such processed soot particles
are good cloud condensation nuclei.</p>
      <p>All observed particle types show internal mixtures with the secondary
inorganic compounds nitrate and/or sulfate. By means of the characteristic
marker peaks <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>62 and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>97 for nitrate and sulfate, respectively, the
change of the mixing state of the particles from out-of-cloud to in-cloud was
investigated in two case studies. In both cases the addition of nitrate and
sulfate to the cloud droplets was observed. This finding is most likely due
to the uptake of HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the gas phase and sulfate production by the
oxidation of SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by transition metals and H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> inside the
cloud droplets  (Harris et al., 2014), besides the
uptake of H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p>Such a cloud processing of aerosol particles has important implications for
the hygroscopic properties of the aerosol particles after cloud passage. An
increase of soluble compounds in the particles, together with the involved
growth of the particle size, will lead to an enhanced number of CCN that are
available in the air mass after evaporation of the cloud. Additionally the
modified chemical composition can lead to altered radiation properties
concerning light scattering and absorption. Especially internal mixed soot
particles indicate a higher absorption than pure soot particles
(Jacobson, 2001) and could therefore counteract the cooling effect
of clouds.
</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/acp-16-505-2016-supplement" xlink:title="pdf">doi:10.5194/acp-16-505-2016-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>The German Research Foundation DFG funded the participation of S. Mertes
(grant HE 939/25-1 and ME 3534/1-2).</p><p>We thank Thomas Böttger, Wilhelm Schneider, Paul Reitz, Jovana Diesch,
Sarah-Lena von der Weiden-Reinmüller, and Friederike Freutel for the
support at the measurement site as well as Frank Helleis for electrical and
technical advices and the whole HCCT-2010
team.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>The article processing charges for this open-access <?xmltex \hack{\newline}?> publication were covered by the Max Planck Society<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by:  M. C. Facchini</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
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European mountain site during HCCT-2010</article-title-html>
<abstract-html><p class="p">Cloud residues and out-of-cloud aerosol particles with diameters between 150
and 900 nm were analysed by online single particle aerosol mass
spectrometry during the 6-week study Hill Cap Cloud Thuringia (HCCT)-2010 in September–October 2010.
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clustering algorithm. Analysis of the uncertainty of the sorting algorithm
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This analysis yielded a false classification probability between 13 and
48 %. Additionally, particle types were identified by specific marker
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analysed particles belong to clusters having a diurnal variation, suggesting
that local or regional sources dominate the aerosol, especially for
particles containing soot and biomass burning particles. In the cloud
residues, the relative percentage of large soot-containing particles and
particles containing amines was found to be increased compared to the
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high solubility of the amines, while the large soot-containing particles
were found to be internally mixed with inorganics, which explains their
activation as cloud condensation nuclei. Furthermore, the results show that
during cloud processing, both sulfate and nitrate are added to the residual
particles, thereby changing the mixing state and increasing the fraction of
particles with nitrate and/or sulfate. This is expected to lead to higher
hygroscopicity after cloud evaporation, and therefore to an increase of the
particles' ability to act as cloud condensation nuclei after their cloud
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