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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-19-10829-2019</article-id><title-group><article-title>Specifying the light-absorbing properties of aerosol particles in fresh snow
samples, collected at the Environmental Research Station Schneefernerhaus
(UFS), Zugspitze</article-title><alt-title>Specifying the light-absorbing properties of aerosol particles in fresh snow
samples</alt-title>
      </title-group><?xmltex \runningtitle{Specifying the light-absorbing properties of aerosol particles in fresh snow
samples}?><?xmltex \runningauthor{M.~Schnaiter et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Schnaiter</surname><given-names>Martin</given-names></name>
          <email>martin.schnaiter@kit.edu</email>
        <ext-link>https://orcid.org/0000-0002-9560-8072</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Linke</surname><given-names>Claudia</given-names></name>
          <email>claudia.linke@kit.edu</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ibrahim</surname><given-names>Inas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kiselev</surname><given-names>Alexei</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0136-2428</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Waitz</surname><given-names>Fritz</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Leisner</surname><given-names>Thomas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Norra</surname><given-names>Stefan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Rehm</surname><given-names>Till</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Meteorology and Climate Research, Atmospheric Aerosol
Research, KIT, Karlsruhe, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>schnaiTEC GmbH, Karlsruhe, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Geography and Geoecology, KIT, Karlsruhe, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Environmental Research Station Schneefernerhaus (UFS), Zugspitze,
Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Martin Schnaiter (martin.schnaiter@kit.edu) and Claudia Linke (claudia.linke@kit.edu)</corresp></author-notes><pub-date><day>28</day><month>August</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>16</issue>
      <fpage>10829</fpage><lpage>10844</lpage>
      <history>
        <date date-type="received"><day>18</day><month>December</month><year>2018</year></date>
           <date date-type="rev-request"><day>23</day><month>January</month><year>2019</year></date>
           <date date-type="rev-recd"><day>2</day><month>August</month><year>2019</year></date>
           <date date-type="accepted"><day>8</day><month>August</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 Martin Schnaiter et al.</copyright-statement>
        <copyright-year>2019</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019.html">This article is available from https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e166">Atmospheric aerosol particles like mineral dust, volcanic ash and combustion
particles can reduce Earth's snow and ice albedo considerably even by very
small amounts of deposited particle mass. In this study, a new laboratory
method is applied to measure the spectral light absorption coefficient of
airborne particles that are released from fresh snow samples by an efficient
nebulizing system. Three-wavelength photoacoustic absorption spectroscopy is
combined with refractory black carbon (BC) mass analysis to determine the
snow mass-specific and BC mass-specific absorption cross sections.
Fullerene soot in water suspensions are used for the characterization of the
method and for the determination of the mass-specific absorption cross
section of this BC reference material. The analysis of 31 snow samples
collected after fresh snowfall events at a high-altitude Alpine research
station reveals a significant discrepancy between the measured snow mass-specific absorption cross section and the cross section that is expected
from the BC mass data, indicating that non-BC light-absorbing particles are
present in the snow. Mineral dust and brown carbon (BrC) are identified as
possible candidates for the non-BC particle mass based on the wavelength
dependence of the measured absorption. For one sample this result is
confirmed by environmental scanning electron microscopy and by single-particle fluorescence measurements, which both indicate a high fraction of
biogenic and organic particle mass in the sample.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e178">Light-absorbing atmospheric particles like black carbon (BC), brown carbon
(BrC), mineral dust or volcanic ash are eventually removed from the
atmosphere by dry and wet deposition. Light-absorbing particles that are
deposited onto snowpacks result in a darkening of the white surface, which
increases the absorption of solar radiation. Because pure snow is the most
reflective natural surface on Earth, the presence of small amounts of
absorptive impurities changes the optical properties of snow, resulting in a
considerable reduction of the snow albedo
(Warren, 1982; Warren and Wiscombe,
1980). In cold, fine-grained snow the observed BC amounts of <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> can reduce the spectral albedo at visible wavelengths by up to
2 %, while in melting snow, these reductions can even increase to 6 %
(Warren and Wiscombe, 1985). Although these numbers seem to
be small, they result in a significant impact on the radiation budget via the
snow albedo effect
(Clarke
and Noone, 1985; Flanner et al., 2007), which also includes secondary
effects like rapid snow transformation (e.g. changes in the snow grain size)
and the retreat of snow and ice covers in a warming climate. The IPCC
reported a global annual mean radiative forcing for anthropogenic BC in snow
and ice of <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with an uncertainty range of 0.02 to 0.09 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Boucher et al., 2013). A
considerably higher radiative forcing estimate for BC in snow is given in
Bond
et al. (2013). In their estimate they calculated an effective BC in snow
forcing that includes<?pagebreak page10830?> feedback mechanisms, like rapid adjustments of the
snowpack and the climate response to the snow and ice albedo changes,
resulting in a best forcing estimate of <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with an
uncertainty of 0.04 to 0.33 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e297">For a reliable assessment of the radiative forcing by light-absorbing
impurities in snow and ice, the response of the snow albedo to the presence
of light-absorbing particles has to be understood from a physical basis.
This is not a trivial task as the spectral albedo of snow depends not only
on the mass mixing ratio of the absorbing particles in the snowpack, but also
on the chemical composition, the microphysical properties and the spectral
absorption properties of the particles in addition to the snow grain size
distribution and the spatial variations of these parameters
(Flanner et
al., 2007). While the mass mixing ratio of BC in snow (and also that of
mineral dust and organic carbon) has been the subject of many recent studies
(e.g. Kaspari
et al., 2014; Schmale et al., 2017; Zhang et al., 2018), their microphysical
and spectral optical properties are still poorly understood. A few studies
exist on the microphysical
(Dong et al.,
2018; Zhang et al., 2017) and optical properties
(Dal
Farra et al., 2018; Doherty et al., 2010; Kaspari et al., 2014; Schwarz et
al., 2013), but these are too sparse to give a conclusive understanding.
Further, the optical properties of light-absorbing impurities are often
indirectly addressed by either applying simplified optical particle models
(e.g. Schwarz et al., 2013) or by using mass-specific absorption cross sections (MACs) determined for atmospheric
particles
(e.g. Dong et al., 2018; Zhou et al., 2017). There is a need for more studies that
address the question on the microphysical nature and the optical properties
of particles in snow and ice. In a large-area study on light-absorbing
impurities in Arctic snow,
Doherty et al. (2010)
applied the <italic>integrating sandwich with integrating sphere technique</italic> (ISSW; Grenfell et al., 2011) to
measure the snow mass-specific spectral absorption cross section, <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, on filter samples. The ISSW is an improved version of the original
integrating plate (IP) filter method that was used in the pioneering work of
Clarke and Noone (1985) to determine the BC in
the Arctic snowpack. Although the ISSW method measures <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, they used a fixed MAC for BC and assumed fixed absorption
Angström exponents for BC and non-BC to calculate the BC mass mixing
ratios and the fraction of non-BC particles in the snow, respectively.
However, large biases have been revealed in laboratory tests of the ISSW
when non-BC-absorbing and purely light-scattering particles are co-deposited
on the filter (Schwarz et al.,
2012). This indicates a significant cross-sensitivity of the ISSW-determined
<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to particle light scattering.</p>
      <p id="d1e336">In the present study we used a different approach to measure <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
by applying three-wavelength photoacoustic spectroscopy to re-aerosolized
snow samples. Photoacoustic aerosol spectroscopy is not prone to light-scattering artefacts and therefore gives reliable results even in the
presence of light-scattering impurities. In a pilot study for this approach
freshly fallen snow was collected at the German Alpine research station
Schneefernerhaus over a period of 6 months in the winter of 2016/2017.
Particulate impurities in the samples were re-aerosolized in the laboratory
and were concurrently measured by a Single Particle Soot Photometer (SP2) as
well as by a homebuilt three-wavelength photoacoustic spectrometer
(PAAS-3<inline-formula><mml:math id="M13" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>) to determine <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the BC MAC
of the snow impurities. Suspensions of fullerene soot in water were prepared
as a standard for melted snow and were used to characterize the nebulizer
efficiency and to determine the PAAS-3<inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> detection sensitivity. From
these measurements the MAC of the fullerene soot standard was deduced and
compared with the MAC of the snow samples.</p>
      <p id="d1e375">Sample preparation, test particle properties and the experimental setup are
given in Sect. 2. Section 3 describes the characterization of the
nebulizer at different operational settings and gives the efficiency of the
nebulizer in terms of particle number and mass concentrations. The MAC of
the fullerene soot standard is presented in Sect. 4. Measurement results
of the snow samples are discussed in Sect. 5, followed by conclusions given
in Sect. 6.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Experiment</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Snow samples</title>
      <p id="d1e393">The snow samples used in this study originate from the Environmental
Research Station Schneefernerhaus (UFS). The station is located at a
latitude of 47<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>25<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>00<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N, a longitude of 10<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>58<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>46<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> E and an altitude of 2650 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> a.s.l. During winter the UFS is usually situated
in the free troposphere with low boundary layer influence
(Gilge et al.,
2010), but can be occasionally affected by long-range transported Saharan
dust plumes
(Flentje et al.,
2015) or in rare events by Transatlantic aerosol transport
(Birmili et al., 2010). The station is
located within a skiing and hiking resort and is therefore sporadically
affected by local anthropogenic emissions during daytime, e.g. from snow
groomers during the skiing season. Yuan et al. (2019) report multiple short-term atmospheric CO events and higher
atmospheric NO peaks during the weekdays (mostly around 09:00 LT) at the
station. Disregarding these local pollution events at the station, the
multi-annual median BC mass concentration is 0.1 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while winter months have a considerably lower BC
concentration (Sun
et al., 2019).</p>
      <p id="d1e484">Snow samples were collected from December 2016 to May 2017. Precipitation,
maximum and minimum temperatures, sunshine duration and wind speed data were
provided by the German Meteorological Service (DWD). Equivalent BC mass
concentrations from Multi-Angle Absorption Photometer (MAAP, ThermoFisher
Scientific, USA) measurements and mineral dust loads were provided by the
German Federal Environment Agency (UBA) and the DWD, respectively. The snow samples were taken either during or
just after snowfall events by scraping off only the top few<?pagebreak page10831?> centimetres of
the snowpack to avoid sampling older snow. A metallic hand shovel is used to
sample the snow from an area of about <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mn mathvariant="normal">30</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> into a zipper-sealed
polyethylene household plastic bag with a volume of 1 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> (Toppits, Germany).
In this way, snow from the beginning of the snowfall event could be missed,
but most of the time the events were accompanied by heavy wind, which made
it impossible to fully sample the fresh snow layer. After collection the
samples were stored at the UFS in a freezer at <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> until they
were transported under frozen conditions to the laboratory at the Karlsruhe
Institute of Technology (KIT). Over the course of the study period 33
samples were taken at the UFS.</p>
      <p id="d1e537">Right before the analysis, which is described in the following sections,
approximately 30 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> of snow is removed from the plastic bag and is put in a
glass beaker for further treatment. This subsample is then melted by
sonication in an ultrasonic bath (EMAG Technologies, Germany) at room
temperature for about 5 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>. Sonication during the melting process
should help to avoid particle adhesion to the wall of the glass beaker.
Aqueous snow/ice sample sonication prior to the analysis is recommended by
several groups
(e.g. Kaspari et al., 2011; Wendl et al., 2014), although with inconclusive results
of the obtained improvements. The melted samples were never refrozen for
later analysis as this can result in a significant particle mass loss of up
to 60 % (Wendl et al., 2014).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e559">Schematic of the instrumental setup used in the present study.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Setup of instruments</title>
      <p id="d1e576">The experimental setup consisted of a Marin-5 Enhanced Nebulizer System
(Teledyne CETAC Technologies, USA), a homebuilt three-wavelength
photoacoustic aerosol absorption spectrometer (PAAS-3<inline-formula><mml:math id="M31" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>, Linke et
al., 2016) and an SP2 (Droplet Measurement
Technologies, USA), as shown in Fig. 1. The liquid
samples are fed by a peristaltic pump (ISM795, ISMATEC, Wertheim, Germany)
equipped with Tygon tubing (ID 0.76 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>, E-LFL, Fisher Scientific, USA) into
a concentric pneumatic glass nebulizer (“MicroMist 500” with a critical
orifice of 500 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), which is positioned inside of the Marin-5
nebulizer (see Fig. S1 in the Supplement for a schematic of the nebulizer). The glass nebulizer
consists of a capillary that directs the liquid sample to the nebulizer tip
where a concentric sheath flow of pressurized synthetic air disperses the
supplied liquid sample into a spray (Katich et al., 2017). The optimum
specified liquid sample flow rate of the glass nebulizer, which is set on
the peristaltic pump, is <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">pp</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The generated spray
is released into the nebulizing chamber of the Marin-5 nebulizer with the
maximum specified gas flow rate of <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The spray enters the heated section of
the chamber where the water is evaporated, forming a moist aerosol of
residual particles. This aerosol comprises refractory aerosol particles and
residues from soluble material that were contained in the liquid sample.
Subsequently, the aerosol passes the cooled section of the chamber where
excess water is eliminated from the sample flow by condensation to the
chamber walls, so that the bulk of water vapour in the moist aerosol is
drained before the particles leave the nebulizer. The aerosol that exits the
nebulizer is then directed through a homebuilt silica gel dryer to reduce
the relative humidity of the aerosol flow below 20 % RH. Finally, sample
flows for the SP2 and the PAAS-3<inline-formula><mml:math id="M38" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> are taken from the aerosol flow,
which is otherwise exhausted to the ambient air.</p>
      <p id="d1e676">The SP2 was used to determine the refractory black carbon (BC) mass
concentration <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> of the BC suspension standards and the snow
samples. The instrument is typically operated with a sample flow rate of
0.12 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. For single-particle mass determination the two
incandescence channels of the instrument are calibrated with fullerene soot
particles (Alfa Aesar, no. 40971, lot no. F12S011), which are size-selected
by a differential mobility analyser (DMA) in the range of 100 to 450 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>,
corresponding to single-particle refractory BC masses of about 0.5 to 30 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">fg</mml:mi></mml:mrow></mml:math></inline-formula>. Note that this “fullerene soot” material actually contains only less
than 10 % by mass of fullerene molecules
(Laborde et al., 2012a). The
gains of the two incandescence channels of the SP2 are adjusted in a way
that they cover a combined volume-equivalent size range from 60 to 560 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
(Laborde et al., 2012b). To quantify the number efficiency of
the nebulizer, number concentrations of non-absorbing PSL particles are
determined from the SP2 single-particle scattering data. For analysis of the
SP2 data, the software toolkit developed and provided by Martin Gysel from
the Paul Scherrer Institute, Switzerland, is used
(Gysel et al., 2011).</p>
      <p id="d1e736">The PAAS-3<inline-formula><mml:math id="M44" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is a single-cavity three-wavelength photoacoustic
aerosol absorption spectrometer that has been designed and built at the KIT. The
instrument is currently marketed by schnaiTEC GmbH. The following briefly
describes the basic measurement concept, explained in detail by Linke et al. (2016). Using the spectrometer to measure the absorption coefficient
<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of aerosols, a controlled sample flow of 0.85 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is led
through the acoustic resonator of the instrument. This open-ended
cylindrical cavity has a diameter of 6.5 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> and a length of 49 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> resulting
in a fundamental acoustic resonance frequency of about 3200 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>. Acoustic
buffers of 24.5 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> length and 78 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> diameter are attached<?pagebreak page10832?> to both ends of
the cavity to filter acoustic disturbances that may exist in the frequency
range of the resonator. Possible disturbances comprise noise generated in
the flow system as well as ambient sound. The photoacoustic cell composed of
the acoustic resonator and the buffers has a total volume of 236 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>.
The PAAS-3<inline-formula><mml:math id="M53" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> system was developed to determine the absorption
coefficients at three wavelengths across the visible spectral range. Three
lasers (Dragonlaser, Changchun, China), modulated at the resonance frequency
of the acoustic cavity, are used in this study. The lasers have emitting
wavelengths of 405, 532, and 658 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> and generate modulated emission power of
100, 150, and 130 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mW</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The modulation frequency has a duty cycle
of 50 % and is tuned to the resonance frequency of the acoustic cavity on
a daily basis. The detection limit (2<inline-formula><mml:math id="M56" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) of this setup was derived
from Allan deviation analysis of long-term background signal measurements
similar to the analysis presented in Fischer
and Smith (2018). The Allan deviation plot for the three PAAS-3<inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>
wavelengths is shown in Fig. S2. According to this
analysis, the PAAS-3<inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> instrument has a 2<inline-formula><mml:math id="M59" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> detection limit
in the range of 1.2 to 2.1 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for all three wavelengths and for a
typical averaging time of 60 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Supplementary measurements</title>
      <p id="d1e909">To further examine the nature of the particulate components that are
deposited in the snow samples, ion chromatography (IC) and an inductive
coupled plasma mass spectrometry (ICP-MS) analysis were exemplarily
conducted for the snow sample from 10 March 2017, mainly to clarify the
concentration of higher ions which might be present in the snow.
Additionally, the aerosol released from this snow sample was fed to a
Waveband Integrated Bioaerosol Sensor (University of Hertfordshire, UK,
WIBS4) to get information on the biogenic particle fraction. For these
additional analyses, re-aerosolized airborne particles were sampled
downstream from the nebulizing system behind the dryer by substituting the
PAAS-3<inline-formula><mml:math id="M62" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> and the SP2 (see Fig. 1). A
Nuclepore<sup>™</sup> filter with pore sizes of 0.2 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> was taken for microscopic analysis using an Environmental Scanning Electron Microscope (ESEM; Quattro S,
ThermoFisher Scientific, USA) combined with EDX microanalysis
(EDAX, Octane Elite Super). This analysis further characterizes the different particle
types found mainly in the larger particle size range (larger than
<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) of this sample.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>PSL particles</title>
      <p id="d1e958">The characterization of the particle number efficiency of the nebulizer and
the daily performance control was performed with monodisperse polystyrene
latex (PSL) particles (Postnova Analytics GmbH, Landsberg am Lech, Germany)
with nominal diameters of <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mn mathvariant="normal">240</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mn mathvariant="normal">304</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. The
particle number concentration within these suspensions is about <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. A diluted PSL standard suspension sample was prepared
daily by pipetting 1 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> suspension into a 100 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> graduated flask filled with
ultrapure water.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Fullerene soot standards</title>
      <p id="d1e1048">Suspensions of known fullerene soot mass concentrations were prepared to
determine the particle mass efficiency <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
of the nebulizer. The material has been widely used to calibrate SP2
instruments (including the present study) as it gives a sensitivity that is
similar to diesel soot
(Laborde et al., 2012a). A
stock suspension of fullerene soot particles (Alfa Aesar, USA; stock
no. 40971, lot no. F12S011) suspended in ultrapure water was stored in a 250 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> graduated glass bottle with a polypropylene cap (Simax, Czech Republic) for
several days to allow larger particles to settle out of the suspension. From
this stock suspension the supernatant suspension was taken to (a) determine
the fullerene soot mass concentration gravimetrically and to (b) prepare
diluted fullerene soot standard suspensions for daily particle mass
efficiency control of the nebulizer.</p>
      <p id="d1e1070">For the gravimetric analysis of the settled stock suspension two empty
quartz fibre filters (MK360, Ahlstrom Munksjö, Finland) were dried overnight at 50 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, stored in a dehydrator for 2 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> and weighed
with a microbalance (M3P, Sartorius, Germany). Then 30 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> of the supernatant
suspension was extracted from the stock fullerene soot suspension and was
dropped on both quartz filters. The filters were then temperature treated
the same way as the empty filters before and being weighed again. From the
gravimetric fullerene soot mass, the mass concentration of the stock
suspension was determined to be <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). Four fullerene soot standard suspensions for the
determination of the mass efficiency <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
of the nebulizer were prepared on each measurement day from the stock
suspension. This was performed in two dilution steps, resulting in samples of
fullerene soot suspended in ultrapure water with nominal mass concentrations
of <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">11.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mn mathvariant="normal">23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.3</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mn mathvariant="normal">34.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.3</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mn mathvariant="normal">46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Note that the given uncertainty range is based on
the analysis of the SP2 mass measurements acquired during the
characterization of the Marin-5 nebulizing efficiency (Sect. 3) and does not reflect possible systematic biases in
the above gravimetric analysis of the stock suspension and the subsequent
dilution process.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Characterization of the nebulizer</title>
      <p id="d1e1252">Particles suspended in liquid samples are not completely dispersed during
the nebulizing process in the Marin-5 nebulizer; instead, the particles are
partially lost in the drain water of the instrument. To characterize the
Marin-5 dispersion efficiency the nebulizer settings were varied while
measuring the particle output by a Condensation Particle Counter (CPC) (Model 3775, TSI Inc., USA). In this
characterization the operation recommendations given by
Katich et<?pagebreak page10833?> al. (2017) for applying the
Marin-5 in snow sample analyses were mainly adopted. However, a minimum gas
flow rate of <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.97</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is necessary in the present study
to simultaneously operate the SP2 and the PAAS-3<inline-formula><mml:math id="M90" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> downstream from the
Marin-5. Also, the relative humidity of the Marin-5 output flow is an
important property here as reliable photoacoustic measurements of aerosol
systems require a relative humidity below <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> %
(Langridge et al., 2013). The particle
output (in terms of particle number and particle mass) and the relative
humidity depend on the <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">pp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> flow rates and the
temperatures of the heated and cooled sections of the nebulizing chamber. As
a starting point of the Marin-5 characterization the nebulizer parameters
were set to heating and cooling temperatures of 120 and
5 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, respectively, the maximum specified input air flow rate of
<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and a liquid sample flow rate of
<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">pp</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Each parameter, except <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, was varied
while keeping the others constant. The results of this characterization are
presented in the Supplement. Based on these findings, the liquid
sample flow rate was set to <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">pp</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the fullerene
soot and snow sample analyses in order to generate a sufficient absorption
signal in the PAAS-3<inline-formula><mml:math id="M102" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> while the aerosol can still be dried to a
relative humidity below 30 %. The nebulizer temperatures were set to
120 and 5 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for the heated and cooled sections,
respectively.</p>
      <p id="d1e1466">With the above settings and the setup shown in
Fig. 1, the mass nebulizing efficiency <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">pp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of
the Marin-5 nebulizer was derived from measurements using the fullerene soot
standard suspensions described in Sect. 2.4. In Fig. S4 the
detected SP2 mass concentrations <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> are shown for the four
fullerene soot standards which were daily prepared. The mass nebulizing
efficiency was determined to be 39 % from these measurements, which is in
very good agreement with the findings of Katich et al. (2017) for similar
settings.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1531">Particle mass size distributions of the fullerene soot suspensions used to characterize the Marin-5
nebulizer. The measurements were conducted with the SP2, which has an upper size limit of 560 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> in the
present study. Results from lognormal fits are represented by the thin lines.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f02.png"/>

      </fig>

      <p id="d1e1549">Figure 2 shows the average mass size distributions of
the four fullerene soot suspension standards used in the characterization of
the Marin-5 mass nebulizing efficiency <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> shown in
Fig. S4. Each size distribution is an average over eight
individual suspensions that were prepared on a daily basis. The measured
mass size distribution of each of the 32 individual suspensions was fitted
by a lognormal function to get the mass-equivalent median diameter (MMD),
the width of the distribution (i.e. geometric standard deviation <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), as well as the integrated mass concentration, <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>. Note that the integrated mass concentration <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> from the
lognormal fit was used in determination of <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the
fullerene soot mass absorption cross sections, <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, in
Sect. 4. This is necessary as the summed particle mass
from the SP2 measurement alone ignores particles with sizes larger than 560 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, which represent a mass fraction of about 10 % (see
Fig. 2). The suspensions show very stable MMDs of
<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mn mathvariant="normal">227</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mn mathvariant="normal">226</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mn mathvariant="normal">228.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mn mathvariant="normal">229</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.018</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.56</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.024</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.017</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.016</mml:mn></mml:mrow></mml:math></inline-formula> for the 11.5, 23, 34.5, and 46 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
suspensions, respectively, with a MMD of <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mn mathvariant="normal">228</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> and a <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
of <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.018</mml:mn></mml:mrow></mml:math></inline-formula> when averaging over all 32 samples
(Table 1).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1817">Overview of the optical and BC mass properties measured for the fullerene
soot suspension standards as well as the fresh snow samples.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Fullerene soot</oasis:entry>
         <oasis:entry colname="col3">UFS snow samples</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">MAC (405 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(5th–95th percentile range)</oasis:entry>
         <oasis:entry colname="col2">7.6–14.0</oasis:entry>
         <oasis:entry colname="col3">13.4, 33.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MAC (532 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mn mathvariant="normal">18.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(5th–95th percentile range)</oasis:entry>
         <oasis:entry colname="col2">7.7–16.0</oasis:entry>
         <oasis:entry colname="col3">10.9, 27.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MAC (658 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(5th–95th percentile range)</oasis:entry>
         <oasis:entry colname="col2">5.7, 10.9</oasis:entry>
         <oasis:entry colname="col3">8.1, 20.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AAE (405–658 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AAE (405–532 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.35</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.49</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.00</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AAE (532–658 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mass median diameter (nm) (<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mn mathvariant="normal">228</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mn mathvariant="normal">207.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">42.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(5th–95th percentile range)</oasis:entry>
         <oasis:entry colname="col2">223.5–233</oasis:entry>
         <oasis:entry colname="col3">146.2–290.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1<inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> distribution width (<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>±</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.57</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.018</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.83</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(5th–95th percentile range)</oasis:entry>
         <oasis:entry colname="col2">1.54–1.6</oasis:entry>
         <oasis:entry colname="col3">1.64–2.06</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (405 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) (10<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">9.9, 4.3–37.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(median, 5th–95th percentile range)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (532 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) (10<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">8.4, 2.9–34.2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(median, 5th–95th percentile range)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (658 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) (10<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">5.9, 1.9–21.5</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(median, 5th–95th percentile range)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">5.0, 1.7–20.4</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(median, 5th–95th percentile range)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> (532 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">8.9, 3.1–36.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(median, 5th–95th percentile range)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S4">
  <label>4</label><?xmltex \opttitle{Specific mass absorption cross sections (MAC${}_{{\mathrm{FS}}}$) of fullerene
soot}?><title>Specific mass absorption cross sections (MAC<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:math></inline-formula>) of fullerene
soot</title>
      <p id="d1e2717">Simultaneously to the BC mass concentration measurements with the SP2, the
absorption coefficients <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the fullerene soot suspensions were
measured for the three PAAS-3<inline-formula><mml:math id="M180" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> wavelengths. Both measurements
together enable the determination of the mass-specific absorption cross
section <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> of airborne
fullerene soot at 405, 532, and 658 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. In Fig. 3,
the absorption coefficients <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are plotted against the SP2-derived BC
mass concentrations <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> of the fullerene soot suspension
standards. Linear regression fits of the data result in
<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for 405,
532, and 658 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at 532 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> is
comparable to the value of 8.84 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> given by
Schwarz et al. (2012) for
fullerene soot (lot no. F12S011) deduced from ISSW measurements, but is
significantly higher than the <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) measured recently by photoacoustic absorption spectroscopy for
size-selected fullerene soot particles by
Zangmeister et al. (2018). The
latter authors used a combination of a DMA
and an aerosol particle mass analyser (APM) to select fullerene soot
particles within a narrow mass range from aerosol generated by an atomizer.
Their <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of 6.1 <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which is given for a
wavelength of 550 <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, a mobility-equivalent diameter of 350 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, and a
particle mass of <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula>, corresponds to a
volume-equivalent diameter of 264 <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> using a density of 1.72 <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> of
fullerene soot
(Kondo
et al., 2011). Although this diameter is not very different from the MMD of
228 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> of the fullerene soot suspensions used here, part of the observed
discrepancy can be attributed to the different sizes as the MAC is strongly
dependent on the particle diameter for particles larger than about 200 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
(e.g. Moosmüller et al.,
2009). To be comparable, we measured the <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of size-selected fullerene soot particles in a separate study by adding a DMA behind
the Marin-5 in the setup shown in Fig. 1. A
<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of 8.6 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was measured for the
mobility-equivalent diameter of 350 <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, which is still <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> % larger than the <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> given by
Zangmeister et al. (2018) for
the same diameter. However, they used an APM to measure the BC mass, while an
SP2 was used here to deduce the refractory BC mass. According to
Laborde et al. (2012a), the
fullerene soot product shows a variability between batches which results in
an SP2 calibration uncertainty of up to 15 % (actually only two batches
were compared: lot no. F12S011 and lot no. L18U002). They explained the
differences in the SP2 response (i.e. the calibration curves) by a
substantial non-refractory coating in the case of the L18U002 batch that could
be identified by thermodenuding the samples. Assuming that lot no. W08A039
used in Zangmeister et al. (2018) has a similar coating, this would increase the APM mass measurement
by about 15 % compared to the SP2-derived BC mass of lot no. F12S011 used
in the present study. This in turn would increase the <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
from 6.1 <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> reported by
Zangmeister et al. (2018) to
about 7 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> when using only the refractory BC mass fraction in
the calculation of the <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This assumption reduces the
discrepancy between the two <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values to 35 %, which is
within the uncertainty range of <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for our 532 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
value. It is further conceivable that different batches of the fullerene
soot material have different electronic band structure (i.e. refractive
index) and/or fractal aggregate structures that both change the absorption
cross section of the particles at a constant particle mass
(e.g. Liu et al., 2019; Zangmeister et al., 2018). Figure 4 shows an electron micrograph of a typical
fullerene soot aggregate sampled from the dry aerosol output of the Marin-5
nebulizer. The fullerene soot particles do not have a simple<?pagebreak page10835?> fractal
aggregate structure, but are rather complex-structured with polydisperse
monomer sizes, monomer nonsphericity (irregularity), necking and
overlapping, which all have a significant impact on the optical particle
properties (including the absorption cross section) compared to the
idealized fractal aggregate (Teng et al.,
2019). Since these microphysical details of the soot particles are very
sensitive to the actual formation and subsequent treatment conditions
(Gorelik et al., 2002), it
is conclusive that the <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> has an even higher variability
between different fullerene soot batches compared to what is expected from
the SP2 mass sensitivity only.</p>
      <p id="d1e3277">The wavelength dependence of the aerosol light absorption, expressed by the
so-called absorption Angström exponent (AAE), was determined to be <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> for the used fullerene soot suspensions by analysing the
<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data for the 405 and 658 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> wavelengths
(Table 1). This AAE is close to the <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> reported by
Baumgardner
et al. (2012) for fullerene soot derived from multiwavelength PSAP and
aethalometer measurements, and it is within the range of the <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.54</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> determined by Zhou
et al. (2017) from ISSW spectrometer measurements on fullerene soot filter
samples in the 450 to 750 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> spectral range. However, it is significantly
lower than the <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.92</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> given by
Zangmeister et al. (2018) for
fullerene soot lot no. W08A039. Here again, we have to take into account
that Zangmeister et al. (2018)
analysed size-segregated absorption spectra, and their AAE is given for a
mobility-equivalent diameter of 350 <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. Analysing our size-segregated
measurements gives an AAE of <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.82</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> for the same
mobility-equivalent diameter, which is closer to, but smaller than, the
Zangmeister et al. value. This further supports the above assumption that
there is a difference in the chemical as well as physical (including
optical) properties between different batches of the fullerene soot product.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e3376">Determination of the mass-specific absorption cross section (MAC) of re-aerosolized fullerene soot
suspension standards at 405, 532, and 658 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. The MAC values are given in the legend and are derived from
concurrent measurements of the absorption coefficient, <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, using the photoacoustic aerosol absorption
spectrometer PAAS-3<inline-formula><mml:math id="M233" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> and the refractory BC mass concentration, <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, using the SP2. A linear regression
without intercept was applied to the measurement data (solid lines).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f03.png"/>

      </fig>

      <p id="d1e3428">In conjunction with the <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> detection limit of 2.1 <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> given in
Sect. 2.2 for the PAAS-3<inline-formula><mml:math id="M237" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> and the mass
nebulizing efficiency <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the Marin-5 nebulizer given in
Sect. 3, the <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analysis shown in
Fig. 3 can be used to assess the detection limit of
the PAAS-3<inline-formula><mml:math id="M240" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> in terms of the BC mass mixing ratio in the snow. A
conservative estimate that also accounts for the uncertainties in the
preparation and quantification of the fullerene soot suspension standards
gives a lower BC mass mixing ratio of 4 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> that can be optically
detected by the PAAS-3<inline-formula><mml:math id="M242" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> using the setup shown in
Fig. 1. Therefore, the method presented here should
be suitable for analysing the visible light absorption of BC snow impurities
for continental as well as for the most of the Arctic areas (e.g. Table 1 in
Warren, 2019).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e3519">Morphology and composition of a fullerene soot particle extracted from the
Marin-5 nebulizer output on a Nuclepore<sup>™</sup> filter. <bold>(a)</bold> The SEM secondary electron image. <bold>(b)</bold> EDX spectrum obtained from
spot A on the particle (marked by the orange circle in the SEM image). The
spectrum shows a pure carbonaceous signature with only the C and O peaks.
Sample coating is responsible for the Pt peak at 2.08 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">keV</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f04.png"/>

      </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e3547">Overview of the meteorological and ambient BC conditions during the period the snow samples were
collected at UFS. The data in <bold>(a)</bold> to <bold>(b)</bold> are on a daily basis. The atmospheric equivalent black carbon (eBC) mass
concentrations shown in panel <bold>(c)</bold> represent 30 <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> averages of the MAAP measurements. Note that the
refractory black carbon mass concentrations, <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, deduced from the SP2 measurements of the re-aerosolized
snow samples are compared in panel <bold>(c)</bold> with the atmospheric eBC mass concentration. See text for details
concerning data providers, sampling, and measurement methods.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f05.png"/>

      </fig>

</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Results and discussion of the snow sample measurements</title>
      <p id="d1e3602">The instrumental setup was used to measure a set of 33 snow samples from the
UFS in the same way as the fullerene soot standards before. The results of
two samples were discarded from data presented here because they show
inexplicably high BC mass concentrations and absorption coefficients
(factors of 5 to 10 outside the 95th percentile of the other samples). This
indicates a possible contamination from local sources. The measured
refractory BC mass concentrations of the aerosolized snow samples were
corrected for the Marin-5 nebulizing efficiency to determine the BC mass
concentrations per mL volume of melted snow. This BC concentration is shown
in Fig. 5c in conjunction with the eBC mass
concentration of ambient air that is routinely measured by UBA using a
MAAP. A selection of meteorological data
is also presented in Fig. 5 to highlight the
variations in ambient temperature, sunshine duration, snow precipitation and
snow height over the period the snow samples were collected at the UFS
station. Although there is no clear correlation between the fresh snow
samples and ambient air eBC mass concentration, the enhanced air eBC mass
concentration observed at the end of March and beginning of April might have
resulted in additional deposition of BC particles in the snow surface that
is reflected – with a time lag of several days – in the measured snow
refractory BC mass mixing ratio. Interestingly, this period of higher air
eBC concentration is distinguished by a little precipitation activity, long
sunshine periods and frequent daily maximum temperatures above the melting
point which resulted in frequent thaw–freeze cycles and, consequently, a
gradual decrease in the snow height by 30 to 40 <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>. All in all, the enhanced
air eBC concentration in conjunction with the meteorological conditions
would favour enhanced BC mass concentrations in the fresh snow samples
collected after precipitation events within this period or shortly after.
Figure 6 shows corresponding mass size distributions
of the refractory BC concentrations shown in Fig. 5c averaged over the periods of November to January, February and March, as
well as April and May. For comparison purposes, the average size
distributions are normalized by the corresponding total mass concentration
<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which was deduced from a lognormal fit. The SP2-derived
refractory BC mass size distribution only includes particles up to a
mass-equivalent diameter of 560 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, which means that larger BC particles are
not recorded by the SP2. However, the average BC mass size distributions
have distinct mode maxima at the MMDs of 227, 194,
and 222 <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> for the November–January, February–March, and April–May periods, respectively. This
indicates no strong seasonality in the snow BC mass size distribution even
in the April–May period where the BC mass concentration in the snow was
significantly enhanced (Fig. 5c). This further
implies that fresh snow was indeed sampled which has not experienced
thaw–freeze cycles severe enough to induce an agglomeration of the BC
particles in the top snow layer. This conclusion is further supported by
comparing the average BC mass size distributions of our snow samples with
the BC mass size distribution of a fresh snow sample collected after a
long-lasting snowfall event at Ny-Ålesund, Svalbard, Norway, by
Sinha et al. (2018) and with the averaged BC size distribution from five snow samples
collected after three snowfall events in the semi-rural and rural
surroundings of Denver, CO, USA, by Schwarz et
al. (2013). Our average fresh snow sample size distributions peak at similar
MMD between 194 and 227 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> compared to the <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mn mathvariant="normal">223</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> of the Sinha et
al. study and the <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">220</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> of the Schwarz et al. study. In
addition, our size distributions indicate a non-lognormal “shoulder” at
the upper size limit of the SP2 measurement that is in a very good agreement
with the Schwarz et al. (2013) samples where
the refractory BC<?pagebreak page10837?> mass size distributions were measured by an SP2 with
modified detector gains up to 2 <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (see Fig. 6). As pointed out by Schwarz et al. (2013),
such snow BC mass size distributions reflect the typical atmospheric BC mass
size distribution that is observed at remote locations altered by
agglomeration and size-selection processes during snow formation in the
atmosphere. The good agreement between the mass size distributions of our
snow samples and the average distribution of the
Schwarz et al. (2013) samples allows us to
estimate the refractory BC mass that is contained in the large particle size
shoulder outside our measurement range. According to
Schwarz et al. (2013) a fraction of 28 % of
the total BC mass can be attributed to particles with mass-equivalent
diameters larger than 600 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. A mass correction factor of 1.39 is therefore
applied to the SP2-derived refractory BC snow concentrations in the
following analysis.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e3707">BC mass size distributions of the snow samples deduced from the SP2 measurements. The size
distributions are averaged over the three periods November–December–January (green), February–March (red), and April–May (blue) and
are normalized by the total mass (<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Lognormal fits are represented by the dashed lines. Fit results in terms
of mass median diameter (MMD) and integrated mass (<inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) are given in the legend. An averaged size
distribution for fresh snow samples published by Schwarz et al. (2013) is shown for comparison (black line and
open circles).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f06.png"/>

      </fig>

      <p id="d1e3738">For the assessment of the albedo effect of particulate impurities in snow
surfaces the spectral absorption that is contained in the snow has to be
quantified. As already mentioned in the introduction, this is usually
achieved by quantifying the mass mixing ratio of light-absorbing particles
in the snow and applying a mass-specific absorption cross section to that
particle mass resulting in a total absorption cross section per snow mass
<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (given in <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). With the measurement setup
given in Fig. 1, this quantity is directly
assessable. To deduce <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the measured absorption coefficient
<inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) of the aerosol released from the snow sample is
converted by the equation
          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M264" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>⋅</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">pp</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">neb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        with <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">pp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> being the air and liquid sample flow rates of
the nebulizer, and <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the nebulizing efficiency. A unit
conversion factor of <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is necessary because <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is given as
(<inline-formula><mml:math id="M270" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), while <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">neb</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is given as (<inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values are calculated for the 31 UFS snow samples using Eq. (1) and
are plotted in Fig. 7 as a function of the
corresponding refractory BC mass concentrations <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, which were
corrected for the missing larger particle mass in accordance with the
discussion above. This results in a strong correlation between the snow mass-specific absorption cross section <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the refractory BC mass
concentration of the snow samples which defines the mass absorption cross
section, MAC, of the snow particles. In Table 1, the
MAC values of the snow samples are compared with those determined for the
fullerene soot suspension standards. It is clear from
Table 1 that the MAC of the snow particles is
significantly larger than the MAC of the fullerene soot by
wavelength-dependent factors of 2.0, 1.9, and 1.4 for 405, 532, and 658 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>,
respectively. This observation suggests that (i) the BC particles in the snow
are thickly coated with transparent or low-absorbing material that results
in a real absorption amplification of the internally mixed particles by the
so-called lensing effect (e.g. Schnaiter et al., 2005),
and/or (ii) part of the absorbing aerosol mass in these samples might be
mineral dust or brown carbon that is co-deposited with the BC mass and has a
significant and strong wavelength-dependent mass absorption cross section in
the visible spectral region (Schnaiter et al., 2006;
Wagner et al., 2012). Both explanations are conclusive for atmospheric
aerosol observed at a remote location like the UFS. Although the
wavelength dependence of the observed absorption “enhancement” suggests an
insignificant impact from thickly coated BC particles – as this should show
a larger absorption amplification in the red compared to the blue spectral
range (Schnaiter et al., 2005) – the lensing effect is
strongly dependent on the actual coating thickness, the coating material,
the composite particle size and the geometrical particle configuration
(Kahnert
et al., 2012; You et al., 2016). Further, the mean AAE of the snow samples
for the spectral ranges from 405 to 658 and 532 to 658 <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> is <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.24</mml:mn></mml:mrow></mml:math></inline-formula>, respectively, which is significantly larger but
more varying than <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn></mml:mrow></mml:math></inline-formula> deduced for the
fullerene soot suspensions for the same spectral ranges
(Table 1). This suggests that it is more likely that
the BC particles in the snow are accompanied by non-BC aerosol particles in
varying amounts that induce additional absorption predominantly in the blue
and green part of the visible spectrum.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e4079">Snow mass-specific absorption cross section <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the snow samples (Eq. 1) as a function of the mass
concentration <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> deduced from the SP2 measurements. The BC mass-specific absorption cross section, MAC,
is deduced from a linear regression without intercept of the data per wavelength and is given in the legend. See
text for details.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f07.png"/>

      </fig>

      <p id="d1e4115">Doherty et al. (2010)
analysed spectroscopic measurements of Arctic snow samples using the ISSW
photometer to deduce the equivalent BC mass concentration <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>,
i.e. the amount of BC that would need to be present in the snow to account
for the measured absorption. With the concurrent PAAS-3<inline-formula><mml:math id="M285" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> and SP2
measurements presented here, this<?pagebreak page10838?> quantity can be deduced in a similar way
for the fresh snow samples from the UFS. For this purpose, the fullerene
soot absorption-equivalent mass concentration <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was
determined from the snow mass-specific absorption cross section <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. 1) by applying the <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> determined for the
fullerene soot suspensions (Sect. 4 and
Fig. 3):
          <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M289" display="block"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        In Fig. 8, the deduced <inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> values for
the 31 snow samples are plotted as a function of the <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> mass
concentrations. Interestingly, the two quantities are well correlated
(<inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> between 0.89 and 0.93) with mass “enhancement” factors (i.e. the
correlation coefficients) <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> of 2.0, 1.9, and 1.4 for the 405, 532, and 658 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
wavelengths, respectively. This indicates that (i) there is a significant
fraction of light absorption in the particle mass that cannot be attributed
to refractory BC, (ii) the reason for this additional absorption is correlated
with the BC mass, and (iii) the additional absorption has a strong wavelength
dependence between the blue and red part of the visible spectrum. To further
elaborate on this observation, the snow mass-specific absorption cross section
of the non-BC particles, <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, was calculated from
<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of all particles:
          <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M297" display="block"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        with <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the mass absorption cross section of
fullerene soot and a conversion factor of <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Figure 9 shows the statistical analysis of
<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> for the 31 snow samples of the present study. Thus,
the non-BC particles show an absorption characteristic with a gradual
increase in <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> with decreasing wavelength, which is
accompanied by a strong increase in its variability. Again, this points to
co-deposited aerosol mass that predominantly absorbs in the blue and green
part of the visible spectrum. As already mentioned, possible candidates for
this additional light absorption are mineral dust and BrC.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e4428">Equivalent BC mass concentration <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, Eq. (2), of the snow samples as a function of the refractory
BC mass concentration <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>. The dashed black line represents the <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line. Linear regression without intercept
per wavelength gives the mass “enhancement” factor <inline-formula><mml:math id="M306" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>, which is given in the legend. The white diamond symbol
marks the 532 <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> values of the 10 March snow sample that was further analysed for elemental composition,
particle morphology, and fluorescence response. See text for details.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f08.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e4495">Statistical analysis of the snow mass-specific absorption cross section <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> of the non-BC particles deduced from Eq. (3). Laboratory data of the imaginary part of refractive index, <inline-formula><mml:math id="M309" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, for Saharan dust (blue) and of
the absorption cross section of brown carbon (red) are shown for comparison. Two examples of brown carbon
(BrC) with organic to total carbon mass ratio, <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">TC</mml:mi></mml:mrow></mml:math></inline-formula>, of 30 % and 50 % are selected to emphasize the possible
variability in spectral absorption of this class of atmospheric aerosol mass. A BrC in snow mass concentration of
4 and 18 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was assumed for the 30 % and 50 % example, respectively.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f09.png"/>

      </fig>

      <p id="d1e4553">Saharan dust events are routinely monitored by the DWD based on a combination of
particle size distribution and calcium (<inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) concentration
measurements, which defines the Saharan Dust Index (SDI;
Flentje et al.,
2015). Based on the latest SDI inventory (<uri>https://www.dwd.de/EN/research/observing_atmosphere/composition_atmosphere/aerosol/cont_nav/saharan_dust.html</uri>, last access: 26 August 2019), the UFS station was influenced by
Saharan dust on approximately 20 <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> within the period January to May 2017.
Therefore, it is conclusive that Saharan dust likely influences the light
absorption of the UFS snow samples. In an aerosol chamber study
Wagner et al. (2012) deduced the complex refractive index,
<inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula>, of Saharan soil dust samples collected in a source region in
southern Morocco during the SAMUM-1 field project
(Heintzenberg, 2009). In
Fig. 9, <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is compared with
the average spectrum of the imaginary part, <inline-formula><mml:math id="M316" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, of the refractive index
deduced for the three Moroccan dust samples of the Wagner et
al. (2012) study. Such a comparison is reasonable as the absorption cross
section of mineral dust is dominated by the imaginary part of the refractive
index (as well as the particle size<?pagebreak page10839?> distribution) and less by the real part.
While the Saharan dust spectrum closely resembles the spectral signature of
<inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> with a very good match of the average values, the
low spectral resolution and the high statistical variation of the <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> data might also allow for a different interpretation.
Schnaiter et al. (2006) used a propane diffusion flame to
generate carbonaceous aerosol particles with different organic carbon (OC)
mass fractions in the range from about 10 % to 70 %. They found a strong
correlation between the OC mass fraction and the wavelength dependence of
the aerosol absorption with AAE between 1 and as large as 9. Consequently,
the particulate combustion emissions had different colours from black to
brown to yellow, therefore representing brown carbon aerosol. Two examples
from the Schnaiter et al. (2006) study are shown in
Fig. 9 to highlight a possible contribution of BrC
to the non-BC-absorbing aerosol mass in the snow samples. These two examples
with OC mass fractions of 30 % and 50 % and mass-specific absorption cross
sections of <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, are
capable of covering the short-wavelength variation in <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
observed for the UFS snow samples. Here, reasonable mass concentrations of
4 and 18 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> were assumed for the 30 % and 50 % OC samples,
respectively, to calculate the snow mass-specific absorption cross section
of BrC, <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">BrC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, from the corresponding MAC that is given in
Schnaiter et al. (2006). In summary, from a spectroscopic
perspective the additional light-absorbing particle mass observed in the
fresh UFS snow samples can be explained by long-range transported Saharan
desert dust and/or BrC particles that are co-deposited in the snow together
with the BC particles in varying compositions and mass concentrations.</p>
      <p id="d1e4735">As mentioned in Sect. 2.3, the snow sample
from 10 March 2017 was further examined by supplementary measurement
methods. The sample has a refractory BC mass concentration of
<inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and an equivalent BC mass concentration of
<inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">532</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, which gives a
mass “enhancement” factor of <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula>. Therefore, the 10 March sample
represents the bulk of the samples in terms of <inline-formula><mml:math id="M332" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>, but is on the
lower side concerning <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations
(see Fig. 8). The IC analysis of the snow sample,
which was set to detect anions, shows only low concentrations of
chloride, nitrate and sulfate of 0.29, 1.1 and 0.3 <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>,
respectively. Only very low concentrations of alkaline and alkaline earth
metals were found from the ICP-MS analysis. For the trace metals manganese,
iron, copper and zinc, concentrations of 9.7, 1.7, 1.1 and 8.7 <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> were found,
respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e4917">Same as Fig. 4 but for a biological particle. EDX spectra were obtained from different areas on the particle (marked
as colour spots in the image). A clear biogenic signature (N, S, Na) is visible for the central bulky part, suggesting
intracellular composition (spot A, blue colour), whereas the exterior part of the particle shows pure carbonaceous
compounds (C, O) (spot B, orange colour). Sample coating is responsible for the platinum peak.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f10.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e4928">Same as Fig. 4 but for a mineral dust particle. The EDX spectrum of the particle identifies chemical
patterns that are characteristic for mineral dust (Al, Si, Mg, Fe, K, Ca), biogenic (N, Na, Cl, S), and
carbonaceous (C, O) materials.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f11.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><label>Figure 12</label><caption><p id="d1e4939">Same as Fig. 4 but for a soot (BC) particle. The EDX spectrum of the particle reveals trace elements
of Fe, Na, Si, and S in addition to the dominating C, O pattern that is characteristic for carbonaceous matter.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/10829/2019/acp-19-10829-2019-f12.png"/>

      </fig>

      <p id="d1e4949">The ESEM micrographs reveal that the larger (<inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mo>∼</mml:mo></mml:mrow></mml:math></inline-formula> 500 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) particles extracted from the 10 March snow sample predominantly
consist of biogenic and biological materials including fragments of cellular
membranes, whole bacteria, pollen, spores, and their mixtures. Mineral dust
particles could be identified in the sample too, but to a much lesser extent
than the biogenic particles. Figure S5 in the
Supplement gives an overview composite image of a typical
Nuclepore<sup>™</sup> filter area, where particles with heavier elements
like Al, Si, Fe, Mg, K, and Ti are accentuated in green colour due to their
brighter response in the backscatter electron detector (BSED). These
elements are typically found in mineral dust particles, as compared to the
lighter elements like C, N, O, Na, and S typical for biological material.
This overview picture highlights the low relative abundance of mineral dust
particles in the coarse mode particle size range of the sample.
Representative examples of individual particles are given in
Figs. 10 to 12. Note
that the EDX spectra of all analysed particles are very characteristic for
particle agglomerates or for chemical aging. The biogenic particle
(Fig. 10) has areas showing intracellular
composition (spot A) and pure cellular membrane fragments (spot B), whereas
the mineral dust particle (Fig. 11) and soot
particle (Fig. 12) exhibit spectra characteristics
for both inorganic and biogenic
material. Note that in
contrast to the soot particle found in the snow sample
(Fig. 12) the EDX spectrum of the fullerene soot
particle does not contain any foreign chemical elements
(Fig. 4).</p>
      <p id="d1e4973">The WIBS4 discriminates fluorescing biological aerosol particles (FBAPs) by
combining single-particle fluorescence signals from two excitation–emission
wavebands with a low cross-sensitivity to inorganic, combustion, and mineral
dust particles (Toprak and Schnaiter, 2013). The WIBS4 measurement
of the 10 March 2017 snow sample supports the<?pagebreak page10840?> ESEM results of a high
fraction of biogenic particles (43 %) in the size range larger than 0.5 <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (see Fig. S6). The size-segregated analysis
reveals biogenic particle fractions of 80 % and 100 % for sizes larger
than 2 and 3 <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, respectively.</p>
      <p id="d1e4996">While these results provide details of the physical and chemical nature of
the particles that might contribute to the light absorption in the 10 March snow sample, they cannot be used to draw conclusions for all snow samples.
Here, further analyses are required that could not be conducted within the
scope of this pilot study. However, one question that arises from the above
findings is whether the biogenic particles found in the 10 March snow sample
can be attributed to BrC, which was shown to be a good candidate for
explaining the additional light absorption in the snow samples
(Fig. 9). The term “brown carbon” is mainly
related to a strong wavelength dependence of the visible light absorption
observed in these materials. From a chemical perspective, BrC can generally
be divided into humic-like substances (HULIS) and tar balls
(Wu et al., 2016). HULIS can be
characterized mainly as a mixture of macromolecular organic compounds with
various functional groups and are expected in oxidation processes of
biogenic precursors (Wu et al., 2016).
Tar balls are emitted from biomass burning and are of spherical, amorphous
structure and are typically not aggregated. Moreover, light-absorbing
organic material and HULIS can be formed from the water-soluble fraction of
biomass burning aerosol compounds, and are therefore suggested as an
atmospheric process for the formation of light-absorbing BrC in cloud
droplets (Hoffer et al., 2004). Further
examination of snow samples from different locations as well as systematic
investigations on the optical behaviour of biogenic particulate matter are
therefore necessary to evaluate the influence of biogenic (including
biological), BrC and mineral dust on the aerosol absorption properties in
the visible spectral range.</p>
</sec>
<?pagebreak page10841?><sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e5007">In this study a new laboratory analysis method for snow and ice samples was
presented. With this method the snow mass-specific absorption cross section
<inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is directly measured by the three-wavelength photoacoustic
absorption spectrometer PAAS-3<inline-formula><mml:math id="M342" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> on re-aerosolized snow samples
without particle deposition on filters. The refractory black carbon (BC)
mass concentration in the snow samples was concurrently determined using a
Single Particle Soot Photometer (SP2). Using water suspensions of fullerene
soot particles of known BC mass concentrations as a BC reference for the
snow samples, the aerosolization efficiency of the nebulizer was quantified
and the detection limit of the method was assessed. Further, the mass-specific absorption cross section of fullerene soot (<inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
was determined for the visible spectral range from the concurrent
PAAS-3<inline-formula><mml:math id="M344" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> and SP2 measurements.</p>
      <p id="d1e5046">The method was used to analyse 31 fresh snow samples collected at the
Environmental Research Station Schneefernerhaus (UFS) in the winter of
2016/2017. The spectral snow mass-specific absorption cross sections <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured by the PAAS-3<inline-formula><mml:math id="M346" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> were analysed as a function of the
refractory BC snow mass mixing ratio <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> deduced by the SP2 to
determine the BC mass-specific absorption cross section (MAC) and the
equivalent BC mass mixing ratio <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> of the snow samples.
Contrasting the MAC of the snow samples with the <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of
the fullerene soot reference BC material, it was found that the MAC of the
snow particles was enhanced by a factor of 2 in the blue and green part of
the visible spectrum, resulting in an enhanced <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> mass mixing
ratio compared to <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>. While the latter accounts only for the
refractory BC, it was concluded that the discrepancy between the optically
deduced <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and the <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> suggests the presence of
light-absorbing non-BC particles in the snow samples. The good correlation
between <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mi mathvariant="normal">equiv</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> further indicates that the
non-BC and BC aerosol particles have either the same source (e.g. biomass
burning) or experienced significant atmospheric processing (e.g. internal
mixing) before they were deposited into the snow. Using the
<inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi mathvariant="normal">FS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of fullerene soot and the <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msubsup><mml:mi>c</mml:mi><mml:mi mathvariant="normal">BC</mml:mi><mml:mrow><mml:mi mathvariant="normal">SP</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> mass mixing
ratio measured for the snow samples, the snow mass-specific absorption cross
section <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> of the non-BC particles could be determined.
The spectral behaviour of <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> gives mean absorption
Angström exponents of 2.2 and 1.5 for the 405 to 532 and 532 to 658 <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> spectral ranges, respectively, indicating that the non-BC light-absorbing
particle mass is predominantly absorbing in the blue to green part of the
visible spectrum and less in the red. By comparing <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">abs</mml:mi><mml:mi mathvariant="normal">nonBC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
with laboratory data for Saharan dust and organic (brown) carbon, it could
be shown that these atmospheric aerosol components can explain the observed
non-BC light absorption in the snow. Additional analyses of an exemplary
snow sample using environmental scanning electron microscopy combined with
EDX microanalysis as well as single-particle fluorescence measurements
revealed that the larger particles of the snow sample are predominantly of
biogenic or organic origin with lower contributions from mineral dust. This
finding supports the above interpretation that the additional non-BC light
absorbing aerosol mass is likely due to biogenic particles, brown carbon and
mineral dust. Further studies are required that include samples from other
locations, to quantify the general contribution of these non-BC atmospheric
aerosol components to the visible light absorption in snow and ice surfaces
and the resulting albedo reduction.</p>
</sec>

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

      <p id="d1e5274">All data presented in this paper are available upon request from the
corresponding author (martin.schnaiter@kit.edu).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e5277">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-19-10829-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-19-10829-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5286">TR and FW collected, stored and transported the snow samples. CL, II and FW
set up and characterized the instrumentation and conducted the snow sample
optical and BC mass measurements. AK and CL analysed the 10 March 2017
sample<?pagebreak page10842?> with SEM, EDX and WIBS4. SN conducted the IC and the ICP-MS analyses.
MS analysed the data and wrote the manuscript with the help of CL. TL was
involved in the interpretation of the data. All commented on the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5292">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5298">We thank Ludwig Ries, German Federal Environment Agency (UBA), and Gerhard Müller, German Meteorological Service (DWD), Global Observatory
Zugspitze/Hohenpeissenberg, for providing weather, atmospheric BC and Saharan
dust inventory data. Joshua Schwarz, National Oceanic and Atmospheric
Administration (NOAA), Boulder, USA, is thanked for providing snow sample
data for comparison. Shawn Wagner and Henno Havenga are thanked for
native-speaker proofreading. This work was funded within the Helmholtz
Research Program Atmosphere and Climate.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5303">The article processing charges for this open-access publication  were covered by a Research  Centre of the Helmholtz Association.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5309">This paper was edited by Paul Zieger and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Baumgardner, D., Popovicheva, O., Allan, J., Bernardoni, V., Cao, J., Cavalli, F., Cozic, J., Diapouli, E., Eleftheriadis, K., Genberg, P. J., Gonzalez, C., Gysel, M., John, A., Kirchstetter, T. W., Kuhlbusch, T. A. J., Laborde, M., Lack, D., Müller, T., Niessner, R., Petzold, A., Piazzalunga, A., Putaud, J. P., Schwarz, J., Sheridan, P., Subramanian, R., Swietlicki, E., Valli, G., Vecchi, R., and Viana, M.: Soot reference materials for instrument calibration and intercomparisons: a workshop summary with recommendations, Atmos. Meas. Tech., 5, 1869–1887, <ext-link xlink:href="https://doi.org/10.5194/amt-5-1869-2012" ext-link-type="DOI">10.5194/amt-5-1869-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Birmili, W., Göbel, T., Sonntag, A., Ries, L., Sohmer, R., Gilge, S.,
Levin, I., and Stohl, A.: A case of transatlantic aerosol transport detected
at the Schneefernerhaus observatory (2650 m) on the northern edge of the
Alps, Meteorol. Zeitschrift, 19, 591–600,
<ext-link xlink:href="https://doi.org/10.1127/0941-2948/2010/0465" ext-link-type="DOI">10.1127/0941-2948/2010/0465</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>Bond, T. C., Doherty, S. J., Fahey, D. W., Forster, P. M., Berntsen, T.,
Deangelo, B. J., Flanner, M. G., Ghan, S., Kärcher, B., Koch, D., Kinne,
S., Kondo, Y., Quinn, P. K., Sarofim, M. C., Schultz, M. G., Schulz, M.,
Venkataraman, C., Zhang, H., Zhang, S., Bellouin, N., Guttikunda, S. K.,
Hopke, P. K., Jacobson, M. Z., Kaiser, J. W., Klimont, Z., Lohmann, U.,
Schwarz, J. P., Shindell, D., Storelvmo, T., Warren, S. G., and Zender, C.
S.: Bounding the role of black carbon in the climate system: A scientific
assessment, J. Geophys. Res.-Atmos., 118, 5380–5552,
<ext-link xlink:href="https://doi.org/10.1002/jgrd.50171" ext-link-type="DOI">10.1002/jgrd.50171</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Boucher, O., Randall, D., Artaxo, P., Bretherton, C., Feingold, G., Forster,
P., Kerminen, V.-M. V.-M., Kondo, Y., Liao, H., Lohmann, U., Rasch, P.,
Satheesh, S. K., Sherwood, S., Stevens, B., Zhang, X. Y., and Zhan, X. Y.:
Clouds and Aerosols, Clim. Chang. 2013 Phys. Sci. Basis. Contrib. Work. Gr.
I to Fifth Assess. Rep. Intergov. Panel Clim. Chang., 571–657,
<ext-link xlink:href="https://doi.org/10.1017/CBO9781107415324.016" ext-link-type="DOI">10.1017/CBO9781107415324.016</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Clarke, A. D. and Noone, K. J.: Soot in the Arctic snowpack: a cause for
perturbations in radiative transfer, Atmos. Environ., 19, 2045–2053,
<ext-link xlink:href="https://doi.org/10.1016/0004-6981(85)90113-1" ext-link-type="DOI">10.1016/0004-6981(85)90113-1</ext-link>, 1985.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>Dal Farra, A., Kaspari, S., Beach, J., Bucheli, T. D., Schaepman, M., and
Schwikowski, M.: Spectral signatures of submicron scale light-absorbing
impurities in snow and ice using hyperspectral microscopy, J. Glaciol.,
64, 377–386, <ext-link xlink:href="https://doi.org/10.1017/jog.2018.29" ext-link-type="DOI">10.1017/jog.2018.29</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>Doherty, S. J., Warren, S. G., Grenfell, T. C., Clarke, A. D., and Brandt, R. E.: Light-absorbing impurities in Arctic snow, Atmos. Chem. Phys., 10, 11647–11680, <ext-link xlink:href="https://doi.org/10.5194/acp-10-11647-2010" ext-link-type="DOI">10.5194/acp-10-11647-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Dong, Z., Kang, S., Qin, D., Shao, Y., Ulbrich, S., and Qin, X.: Variability in individual particle structure and mixing states between the glacier–snowpack and atmosphere in the northeastern Tibetan Plateau, The Cryosphere, 12, 3877–3890, <ext-link xlink:href="https://doi.org/10.5194/tc-12-3877-2018" ext-link-type="DOI">10.5194/tc-12-3877-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Fischer, D. A. and Smith, G. D.: A portable, four-wavelength, single-cell
photoacoustic spectrometer for ambient aerosol absorption, Aerosol Sci.
Technol., 52, 393–406, <ext-link xlink:href="https://doi.org/10.1080/02786826.2017.1413231" ext-link-type="DOI">10.1080/02786826.2017.1413231</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Flanner, M. G., Zender, C. S., Randerson, J. T., and Rasch, P. J.:
Present-day climate forcing and response from black carbon in snow, J.
Geophys. Res.-Atmos., 112, 1–17, <ext-link xlink:href="https://doi.org/10.1029/2006JD008003" ext-link-type="DOI">10.1029/2006JD008003</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Flentje, H., Briel, B., Beck, C., Collaud Coen, M., Fricke, M., Cyrys, J.,
Gu, J., Pitz, M., and Thomas, W.: Identification and monitoring of Saharan
dust: An inventory representative for south Germany since 1997, Atmos.
Environ., 109, 87–96, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2015.02.023" ext-link-type="DOI">10.1016/j.atmosenv.2015.02.023</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Gilge, S., Plass-Duelmer, C., Fricke, W., Kaiser, A., Ries, L., Buchmann, B., and Steinbacher, M.: Ozone, carbon monoxide and nitrogen oxides time series at four alpine GAW mountain stations in central Europe, Atmos. Chem. Phys., 10, 12295–12316, <ext-link xlink:href="https://doi.org/10.5194/acp-10-12295-2010" ext-link-type="DOI">10.5194/acp-10-12295-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Gorelik, O. P., Dyuzhev, G. A., Novikov, D. V., Oichenko, V. M., and Fursei,
G. N.: Cluster structure of fullerene-containing soot and <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">60</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fullerene
powder, Tech. Phys., 45, 1489–1495, <ext-link xlink:href="https://doi.org/10.1134/1.1325035" ext-link-type="DOI">10.1134/1.1325035</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Grenfell, T. C., Doherty, S. J., Clarke, A. D., and Warren, S. G.: Light
absorption from particulate impurities in snow and ice determined by
spectrophotometric analysis of filters, Appl. Optics, 50, 2037,
<ext-link xlink:href="https://doi.org/10.1364/ao.50.002037" ext-link-type="DOI">10.1364/ao.50.002037</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Gysel, M., Laborde, M., Olfert, J. S., Subramanian, R., and Gröhn, A. J.: Effective density of Aquadag and fullerene soot black carbon reference materials used for SP2 calibration, Atmos. Meas. Tech., 4, 2851–2858, <ext-link xlink:href="https://doi.org/10.5194/amt-4-2851-2011" ext-link-type="DOI">10.5194/amt-4-2851-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Heintzenberg, J.: The SAMUM-1 experiment over Southern Morocco: Overview and
introduction, Tellus, B, 61, 2–11,
<ext-link xlink:href="https://doi.org/10.1111/j.1600-0889.2008.00403.x" ext-link-type="DOI">10.1111/j.1600-0889.2008.00403.x</ext-link>, 2009.</mixed-citation></ref>
      <?pagebreak page10843?><ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Hoffer, A., Kiss, G., Blazsó, M., and Gelencsér, A.: Chemical
characterization of humic-like substances (HULIS) formed from a lignin-type
precursor in model cloud water, Geophys. Res. Lett., 31, L06115,
<ext-link xlink:href="https://doi.org/10.1029/2003gl018962" ext-link-type="DOI">10.1029/2003gl018962</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Kahnert, M., Nousiainen, T., Lindqvist, H., and Ebert, M.: Optical properties
of light absorbing carbon aggregates mixed with sulfate: assessment of
different model geometries for climate forcing calculations, Opt. Express,
20, 10042, <ext-link xlink:href="https://doi.org/10.1364/oe.20.010042" ext-link-type="DOI">10.1364/oe.20.010042</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>Kaspari, S., Painter, T. H., Gysel, M., Skiles, S. M., and Schwikowski, M.: Seasonal and elevational variations of black carbon and dust in snow and ice in the Solu-Khumbu, Nepal and estimated radiative forcings, Atmos. Chem. Phys., 14, 8089–8103, <ext-link xlink:href="https://doi.org/10.5194/acp-14-8089-2014" ext-link-type="DOI">10.5194/acp-14-8089-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Kaspari, S. D., Schwikowski, M., Gysel, M., Flanner, M. G., Kang, S., Hou,
S., and Mayewski, P. A.: Recent increase in black carbon concentrations from
a Mt. Everest ice core spanning 1860–2000 AD, Geophys. Res. Lett., 38, L04703,
<ext-link xlink:href="https://doi.org/10.1029/2010GL046096" ext-link-type="DOI">10.1029/2010GL046096</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Katich, J. M., Perring, A. E., and Schwarz, J. P.: Optimized detection of particulates from liquid samples in the aerosol phase: Focus on black carbon, Aerosol Sci. Technol., 51, 543–553, <ext-link xlink:href="https://doi.org/10.1080/02786826.2017.1280597" ext-link-type="DOI">10.1080/02786826.2017.1280597</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Kondo, Y., Sahu, L., Moteki, N., Khan, F., Takegawa, N., Liu, X., Koike, M.,
and Miyakawa, T.: Consistency and traceability of black carbon measurements
made by laser-induced incandescence, thermal-optical transmittance, and
filter-based photo-absorption techniques, Aerosol Sci. Technol., 45,
295–312, <ext-link xlink:href="https://doi.org/10.1080/02786826.2010.533215" ext-link-type="DOI">10.1080/02786826.2010.533215</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Laborde, M., Mertes, P., Zieger, P., Dommen, J., Baltensperger, U., and Gysel, M.: Sensitivity of the Single Particle Soot Photometer to different black carbon types, Atmos. Meas. Tech., 5, 1031–1043, <ext-link xlink:href="https://doi.org/10.5194/amt-5-1031-2012" ext-link-type="DOI">10.5194/amt-5-1031-2012</ext-link>, 2012a.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Laborde, M., Schnaiter, M., Linke, C., Saathoff, H., Naumann, K.-H., Möhler, O., Berlenz, S., Wagner, U., Taylor, J. W., Liu, D., Flynn, M., Allan, J. D., Coe, H., Heimerl, K., Dahlkötter, F., Weinzierl, B., Wollny, A. G., Zanatta, M., Cozic, J., Laj, P., Hitzenberger, R., Schwarz, J. P., and Gysel, M.: Single Particle Soot Photometer intercomparison at the AIDA chamber, Atmos. Meas. Tech., 5, 3077–3097, <ext-link xlink:href="https://doi.org/10.5194/amt-5-3077-2012" ext-link-type="DOI">10.5194/amt-5-3077-2012</ext-link>, 2012b.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Langridge, J. M., Richardson, M. S., Lack, D. A., Brock, C. A., and Murphy,
D. M.: Limitations of the Photoacoustic Technique for Aerosol Absorption
Measurement at High Relative Humidity, Aerosol Sci. Technol., 47, 1163–1173,
<ext-link xlink:href="https://doi.org/10.1080/02786826.2013.827324" ext-link-type="DOI">10.1080/02786826.2013.827324</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Linke, C., Ibrahim, I., Schleicher, N., Hitzenberger, R., Andreae, M. O., Leisner, T., and Schnaiter, M.: A novel single-cavity three-wavelength photoacoustic spectrometer for atmospheric aerosol research, Atmos. Meas. Tech., 9, 5331–5346, <ext-link xlink:href="https://doi.org/10.5194/amt-9-5331-2016" ext-link-type="DOI">10.5194/amt-9-5331-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Liu, C., Xu, X., Yin, Y., Schnaiter, M., and Yung, Y. L.: Black carbon
aggregates: A database for optical properties, J. Quant. Spectrosc. Ra., 222–223, 170–179, <ext-link xlink:href="https://doi.org/10.1016/j.jqsrt.2018.10.021" ext-link-type="DOI">10.1016/j.jqsrt.2018.10.021</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>Moosmüller, H., Chakrabarty, R. K., and Arnott, W. P.: Aerosol light
absorption and its measurement: A review, J. Quant. Spectrosc. Ra., 110, 844–878, <ext-link xlink:href="https://doi.org/10.1016/j.jqsrt.2009.02.035" ext-link-type="DOI">10.1016/j.jqsrt.2009.02.035</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Schmale, J., Flanner, M., Kang, S., Sprenger, M., Zhang, Q., Guo, J., Li,
Y., Schwikowski, M., and Farinotti, D.: Modulation of snow reflectance and
snowmelt from Central Asian glaciers by anthropogenic black carbon, Sci.
Rep.-UK, 7, 1–10, <ext-link xlink:href="https://doi.org/10.1038/srep40501" ext-link-type="DOI">10.1038/srep40501</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Schnaiter, M., Linke, C., Möhler, O., Naumann, K. H., Saathoff, H.,
Wagner, R., Schurath, U., and Wehner, B.: Absorption amplification of black
carbon internally mixed with secondary organic aerosol, J. Geophys. Res., 110, D19204,
<ext-link xlink:href="https://doi.org/10.1029/2005JD006046" ext-link-type="DOI">10.1029/2005JD006046</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Schnaiter, M., Gimmler, M., Llamas, I., Linke, C., Jäger, C., and Mutschke, H.: Strong spectral dependence of light absorption by organic carbon particles formed by propane combustion, Atmos. Chem. Phys., 6, 2981–2990, <ext-link xlink:href="https://doi.org/10.5194/acp-6-2981-2006" ext-link-type="DOI">10.5194/acp-6-2981-2006</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>Schwarz, J. P., Doherty, S. J., Li, F., Ruggiero, S. T., Tanner, C. E., Perring, A. E., Gao, R. S., and Fahey, D. W.: Assessing Single Particle Soot Photometer and Integrating Sphere/Integrating Sandwich Spectrophotometer measurement techniques for quantifying black carbon concentration in snow, Atmos. Meas. Tech., 5, 2581–2592, <ext-link xlink:href="https://doi.org/10.5194/amt-5-2581-2012" ext-link-type="DOI">10.5194/amt-5-2581-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Schwarz, J. P., Gao, R. S., Perring, A. E., Spackman, J. R., and Fahey, D. W.:
Black carbon aerosol size in snow., Nat. Sci. Rep., 3, 1356,
<ext-link xlink:href="https://doi.org/10.1038/srep01356" ext-link-type="DOI">10.1038/srep01356</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Sinha, P. R., Kondo, Y., Goto-Azuma, K., Tsukagawa, Y., Fukuda, K., Koike,
M., Ohata, S., Moteki, N., Mori, T., Oshima, N., Førland, E. J., Irwin,
M., Gallet, J. C., and Pedersen, C. A.: Seasonal Progression of the
Deposition of Black Carbon by Snowfall at Ny-Ålesund, Spitsbergen, J.
Geophys. Res.-Atmos., 123, 997–1016, <ext-link xlink:href="https://doi.org/10.1002/2017JD028027" ext-link-type="DOI">10.1002/2017JD028027</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Sun, J., Birmili, W., Hermann, M., Tuch, T., Weinhold, K., Spindler, G.,
Schladitz, A., Bastian, S., Löschau, G., Cyrys, J., Gu, J., Flentje, H.,
Briel, B., Asbach, C., Kaminski, H., Ries, L., Sohmer, R., Gerwig, H.,
Wirtz, K., Meinhardt, F., Schwerin, A., Bath, O., Ma, N., and Wiedensohler,
A.: Variability of black carbon mass concentrations, sub-micrometer particle
number concentrations and size distributions: results of the German
Ultrafine Aerosol Network ranging from city street to High Alpine locations,
Atmos. Environ., 202, 256–268,
<ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2018.12.029" ext-link-type="DOI">10.1016/j.atmosenv.2018.12.029</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Teng, S., Liu, C., Schnaiter, M., Chakrabarty, R. K., and Liu, F.: Accounting for the effects of nonideal minor structures on the optical properties of black carbon aerosols, Atmos. Chem. Phys., 19, 2917–2931, <ext-link xlink:href="https://doi.org/10.5194/acp-19-2917-2019" ext-link-type="DOI">10.5194/acp-19-2917-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Toprak, E. and Schnaiter, M.: Fluorescent biological aerosol particles measured with the Waveband Integrated Bioaerosol Sensor WIBS-4: laboratory tests combined with a one year field study, Atmos. Chem. Phys., 13, 225–243, <ext-link xlink:href="https://doi.org/10.5194/acp-13-225-2013" ext-link-type="DOI">10.5194/acp-13-225-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Wagner, R., Ajtai, T., Kandler, K., Lieke, K., Linke, C., Müller, T., Schnaiter, M., and Vragel, M.: Complex refractive indices of Saharan dust samples at visible and near UV wavelengths: a laboratory study, Atmos. Chem. Phys., 12, 2491–2512, <ext-link xlink:href="https://doi.org/10.5194/acp-12-2491-2012" ext-link-type="DOI">10.5194/acp-12-2491-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>
Warren, G. S.: Optical properties of snow, Rev.
Geophys. Space Phys., 20, 67–89, 1982.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Warren, S. G.: Light-Absorbing Impurities in Snow: A Personal and Historical
Account, Front. Earth Sci., 6, 1–8,
<ext-link xlink:href="https://doi.org/10.3389/feart.2018.00250" ext-link-type="DOI">10.3389/feart.2018.00250</ext-link>, 2019.</mixed-citation></ref>
      <?pagebreak page10844?><ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>
Warren, S. G. and Wiscombe, W. J.: A Model for the Spectral Albedo of Snow.
II: Snow Containing Atmospheric Aerosols, J. Atmos. Sci., 37, 2734–2745,
1980.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Warren, S. G. and Wiscombe, W. J.: Dirty snow after nuclear war, Nature,
313, 467–470, <ext-link xlink:href="https://doi.org/10.1038/313467a0" ext-link-type="DOI">10.1038/313467a0</ext-link>, 1985.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Wendl, I. A., Menking, J. A., Färber, R., Gysel, M., Kaspari, S. D., Laborde, M. J. G., and Schwikowski, M.: Optimized method for black carbon analysis in ice and snow using the Single Particle Soot Photometer, Atmos. Meas. Tech., 7, 2667–2681, <ext-link xlink:href="https://doi.org/10.5194/amt-7-2667-2014" ext-link-type="DOI">10.5194/amt-7-2667-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>Wu, G. M., Cong, Z. Y., Kang, S. C., Kawamura, K., Fu, P. Q., Zhang, Y. L.,
Wan, X., Gao, S. P., and Liu, B.: Brown carbon in the cryosphere: Current
knowledge and perspective, Adv. Clim. Chang. Res., 7, 82–89,
<ext-link xlink:href="https://doi.org/10.1016/j.accre.2016.06.002" ext-link-type="DOI">10.1016/j.accre.2016.06.002</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>You, R., Radney, J. G., Zachariah, M. R., and Zangmeister, C. D.: Measured
Wavelength-Dependent Absorption Enhancement of Internally Mixed Black Carbon
with Absorbing and Nonabsorbing Materials, Environ. Sci. Technol., 50,
7982–7990, <ext-link xlink:href="https://doi.org/10.1021/acs.est.6b01473" ext-link-type="DOI">10.1021/acs.est.6b01473</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>Yuan, Y., Ries, L., Petermeier, H., Trickl, T., Leuchner, M., Couret, C., Sohmer, R., Meinhardt, F., and Menzel, A.: On the diurnal, weekly, and seasonal cycles and annual trends in atmospheric <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at Mount Zugspitze, Germany, during 1981–2016, Atmos. Chem. Phys., 19, 999–1012, <ext-link xlink:href="https://doi.org/10.5194/acp-19-999-2019" ext-link-type="DOI">10.5194/acp-19-999-2019</ext-link>, 2019.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Zangmeister, C. D., You, R., Lunny, E. M., Jacobson, A. E., Okumura, M.,
Zachariah, M. R., and Radney, J. G.: Measured in-situ mass absorption spectra
for nine forms of highly-absorbing carbonaceous aerosol, Carbon N. Y., 136,
85–93, <ext-link xlink:href="https://doi.org/10.1016/j.carbon.2018.04.057" ext-link-type="DOI">10.1016/j.carbon.2018.04.057</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>Zhang, Y., Kang, S., Li, C., Gao, T., Cong, Z., Sprenger, M., Liu, Y., Li,
X., Guo, J., Sillanpää, M., Wang, K., Chen, J., Li, Y., and Sun, S.:
Characteristics of black carbon in snow from Laohugou No. 12 glacier on the
northern Tibetan Plateau, Sci. Total Environ., 607–608, 1237–1249,
<ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2017.07.100" ext-link-type="DOI">10.1016/j.scitotenv.2017.07.100</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>Zhang, Y., Kang, S., Sprenger, M., Cong, Z., Gao, T., Li, C., Tao, S., Li, X., Zhong, X., Xu, M., Meng, W., Neupane, B., Qin, X., and Sillanpää, M.: Black carbon and mineral dust in snow cover on the Tibetan Plateau, The Cryosphere, 12, 413–431, <ext-link xlink:href="https://doi.org/10.5194/tc-12-413-2018" ext-link-type="DOI">10.5194/tc-12-413-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>Zhou, Y., Wang, X., Wu, X., Cong, Z., Wu, G., and Ji, M.: Quantifying light
absorption of iron oxides and carbonaceous aerosol in seasonal snow across
Northern China, Atmosphere (Basel), 8, 15–22, <ext-link xlink:href="https://doi.org/10.3390/atmos8040063" ext-link-type="DOI">10.3390/atmos8040063</ext-link>,
2017.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Specifying the light-absorbing properties of aerosol particles in fresh snow samples, collected at the Environmental Research Station Schneefernerhaus (UFS), Zugspitze</article-title-html>
<abstract-html><p>Atmospheric aerosol particles like mineral dust, volcanic ash and combustion
particles can reduce Earth's snow and ice albedo considerably even by very
small amounts of deposited particle mass. In this study, a new laboratory
method is applied to measure the spectral light absorption coefficient of
airborne particles that are released from fresh snow samples by an efficient
nebulizing system. Three-wavelength photoacoustic absorption spectroscopy is
combined with refractory black carbon (BC) mass analysis to determine the
snow mass-specific and BC mass-specific absorption cross sections.
Fullerene soot in water suspensions are used for the characterization of the
method and for the determination of the mass-specific absorption cross
section of this BC reference material. The analysis of 31 snow samples
collected after fresh snowfall events at a high-altitude Alpine research
station reveals a significant discrepancy between the measured snow mass-specific absorption cross section and the cross section that is expected
from the BC mass data, indicating that non-BC light-absorbing particles are
present in the snow. Mineral dust and brown carbon (BrC) are identified as
possible candidates for the non-BC particle mass based on the wavelength
dependence of the measured absorption. For one sample this result is
confirmed by environmental scanning electron microscopy and by single-particle fluorescence measurements, which both indicate a high fraction of
biogenic and organic particle mass in the sample.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Baumgardner, D., Popovicheva, O., Allan, J., Bernardoni, V., Cao, J., Cavalli, F., Cozic, J., Diapouli, E., Eleftheriadis, K., Genberg, P. J., Gonzalez, C., Gysel, M., John, A., Kirchstetter, T. W., Kuhlbusch, T. A. J., Laborde, M., Lack, D., Müller, T., Niessner, R., Petzold, A., Piazzalunga, A., Putaud, J. P., Schwarz, J., Sheridan, P., Subramanian, R., Swietlicki, E., Valli, G., Vecchi, R., and Viana, M.: Soot reference materials for instrument calibration and intercomparisons: a workshop summary with recommendations, Atmos. Meas. Tech., 5, 1869–1887, <a href="https://doi.org/10.5194/amt-5-1869-2012" target="_blank">https://doi.org/10.5194/amt-5-1869-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Birmili, W., Göbel, T., Sonntag, A., Ries, L., Sohmer, R., Gilge, S.,
Levin, I., and Stohl, A.: A case of transatlantic aerosol transport detected
at the Schneefernerhaus observatory (2650&thinsp;m) on the northern edge of the
Alps, Meteorol. Zeitschrift, 19, 591–600,
<a href="https://doi.org/10.1127/0941-2948/2010/0465" target="_blank">https://doi.org/10.1127/0941-2948/2010/0465</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Bond, T. C., Doherty, S. J., Fahey, D. W., Forster, P. M., Berntsen, T.,
Deangelo, B. J., Flanner, M. G., Ghan, S., Kärcher, B., Koch, D., Kinne,
S., Kondo, Y., Quinn, P. K., Sarofim, M. C., Schultz, M. G., Schulz, M.,
Venkataraman, C., Zhang, H., Zhang, S., Bellouin, N., Guttikunda, S. K.,
Hopke, P. K., Jacobson, M. Z., Kaiser, J. W., Klimont, Z., Lohmann, U.,
Schwarz, J. P., Shindell, D., Storelvmo, T., Warren, S. G., and Zender, C.
S.: Bounding the role of black carbon in the climate system: A scientific
assessment, J. Geophys. Res.-Atmos., 118, 5380–5552,
<a href="https://doi.org/10.1002/jgrd.50171" target="_blank">https://doi.org/10.1002/jgrd.50171</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Boucher, O., Randall, D., Artaxo, P., Bretherton, C., Feingold, G., Forster,
P., Kerminen, V.-M. V.-M., Kondo, Y., Liao, H., Lohmann, U., Rasch, P.,
Satheesh, S. K., Sherwood, S., Stevens, B., Zhang, X. Y., and Zhan, X. Y.:
Clouds and Aerosols, Clim. Chang. 2013 Phys. Sci. Basis. Contrib. Work. Gr.
I to Fifth Assess. Rep. Intergov. Panel Clim. Chang., 571–657,
<a href="https://doi.org/10.1017/CBO9781107415324.016" target="_blank">https://doi.org/10.1017/CBO9781107415324.016</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Clarke, A. D. and Noone, K. J.: Soot in the Arctic snowpack: a cause for
perturbations in radiative transfer, Atmos. Environ., 19, 2045–2053,
<a href="https://doi.org/10.1016/0004-6981(85)90113-1" target="_blank">https://doi.org/10.1016/0004-6981(85)90113-1</a>, 1985.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Dal Farra, A., Kaspari, S., Beach, J., Bucheli, T. D., Schaepman, M., and
Schwikowski, M.: Spectral signatures of submicron scale light-absorbing
impurities in snow and ice using hyperspectral microscopy, J. Glaciol.,
64, 377–386, <a href="https://doi.org/10.1017/jog.2018.29" target="_blank">https://doi.org/10.1017/jog.2018.29</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Doherty, S. J., Warren, S. G., Grenfell, T. C., Clarke, A. D., and Brandt, R. E.: Light-absorbing impurities in Arctic snow, Atmos. Chem. Phys., 10, 11647–11680, <a href="https://doi.org/10.5194/acp-10-11647-2010" target="_blank">https://doi.org/10.5194/acp-10-11647-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Dong, Z., Kang, S., Qin, D., Shao, Y., Ulbrich, S., and Qin, X.: Variability in individual particle structure and mixing states between the glacier–snowpack and atmosphere in the northeastern Tibetan Plateau, The Cryosphere, 12, 3877–3890, <a href="https://doi.org/10.5194/tc-12-3877-2018" target="_blank">https://doi.org/10.5194/tc-12-3877-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Fischer, D. A. and Smith, G. D.: A portable, four-wavelength, single-cell
photoacoustic spectrometer for ambient aerosol absorption, Aerosol Sci.
Technol., 52, 393–406, <a href="https://doi.org/10.1080/02786826.2017.1413231" target="_blank">https://doi.org/10.1080/02786826.2017.1413231</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Flanner, M. G., Zender, C. S., Randerson, J. T., and Rasch, P. J.:
Present-day climate forcing and response from black carbon in snow, J.
Geophys. Res.-Atmos., 112, 1–17, <a href="https://doi.org/10.1029/2006JD008003" target="_blank">https://doi.org/10.1029/2006JD008003</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Flentje, H., Briel, B., Beck, C., Collaud Coen, M., Fricke, M., Cyrys, J.,
Gu, J., Pitz, M., and Thomas, W.: Identification and monitoring of Saharan
dust: An inventory representative for south Germany since 1997, Atmos.
Environ., 109, 87–96, <a href="https://doi.org/10.1016/j.atmosenv.2015.02.023" target="_blank">https://doi.org/10.1016/j.atmosenv.2015.02.023</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Gilge, S., Plass-Duelmer, C., Fricke, W., Kaiser, A., Ries, L., Buchmann, B., and Steinbacher, M.: Ozone, carbon monoxide and nitrogen oxides time series at four alpine GAW mountain stations in central Europe, Atmos. Chem. Phys., 10, 12295–12316, <a href="https://doi.org/10.5194/acp-10-12295-2010" target="_blank">https://doi.org/10.5194/acp-10-12295-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Gorelik, O. P., Dyuzhev, G. A., Novikov, D. V., Oichenko, V. M., and Fursei,
G. N.: Cluster structure of fullerene-containing soot and C<sub>60</sub> fullerene
powder, Tech. Phys., 45, 1489–1495, <a href="https://doi.org/10.1134/1.1325035" target="_blank">https://doi.org/10.1134/1.1325035</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Grenfell, T. C., Doherty, S. J., Clarke, A. D., and Warren, S. G.: Light
absorption from particulate impurities in snow and ice determined by
spectrophotometric analysis of filters, Appl. Optics, 50, 2037,
<a href="https://doi.org/10.1364/ao.50.002037" target="_blank">https://doi.org/10.1364/ao.50.002037</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Gysel, M., Laborde, M., Olfert, J. S., Subramanian, R., and Gröhn, A. J.: Effective density of Aquadag and fullerene soot black carbon reference materials used for SP2 calibration, Atmos. Meas. Tech., 4, 2851–2858, <a href="https://doi.org/10.5194/amt-4-2851-2011" target="_blank">https://doi.org/10.5194/amt-4-2851-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Heintzenberg, J.: The SAMUM-1 experiment over Southern Morocco: Overview and
introduction, Tellus, B, 61, 2–11,
<a href="https://doi.org/10.1111/j.1600-0889.2008.00403.x" target="_blank">https://doi.org/10.1111/j.1600-0889.2008.00403.x</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Hoffer, A., Kiss, G., Blazsó, M., and Gelencsér, A.: Chemical
characterization of humic-like substances (HULIS) formed from a lignin-type
precursor in model cloud water, Geophys. Res. Lett., 31, L06115,
<a href="https://doi.org/10.1029/2003gl018962" target="_blank">https://doi.org/10.1029/2003gl018962</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Kahnert, M., Nousiainen, T., Lindqvist, H., and Ebert, M.: Optical properties
of light absorbing carbon aggregates mixed with sulfate: assessment of
different model geometries for climate forcing calculations, Opt. Express,
20, 10042, <a href="https://doi.org/10.1364/oe.20.010042" target="_blank">https://doi.org/10.1364/oe.20.010042</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Kaspari, S., Painter, T. H., Gysel, M., Skiles, S. M., and Schwikowski, M.: Seasonal and elevational variations of black carbon and dust in snow and ice in the Solu-Khumbu, Nepal and estimated radiative forcings, Atmos. Chem. Phys., 14, 8089–8103, <a href="https://doi.org/10.5194/acp-14-8089-2014" target="_blank">https://doi.org/10.5194/acp-14-8089-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Kaspari, S. D., Schwikowski, M., Gysel, M., Flanner, M. G., Kang, S., Hou,
S., and Mayewski, P. A.: Recent increase in black carbon concentrations from
a Mt. Everest ice core spanning 1860–2000 AD, Geophys. Res. Lett., 38, L04703,
<a href="https://doi.org/10.1029/2010GL046096" target="_blank">https://doi.org/10.1029/2010GL046096</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Katich, J. M., Perring, A. E., and Schwarz, J. P.: Optimized detection of particulates from liquid samples in the aerosol phase: Focus on black carbon, Aerosol Sci. Technol., 51, 543–553, <a href="https://doi.org/10.1080/02786826.2017.1280597" target="_blank">https://doi.org/10.1080/02786826.2017.1280597</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Kondo, Y., Sahu, L., Moteki, N., Khan, F., Takegawa, N., Liu, X., Koike, M.,
and Miyakawa, T.: Consistency and traceability of black carbon measurements
made by laser-induced incandescence, thermal-optical transmittance, and
filter-based photo-absorption techniques, Aerosol Sci. Technol., 45,
295–312, <a href="https://doi.org/10.1080/02786826.2010.533215" target="_blank">https://doi.org/10.1080/02786826.2010.533215</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Laborde, M., Mertes, P., Zieger, P., Dommen, J., Baltensperger, U., and Gysel, M.: Sensitivity of the Single Particle Soot Photometer to different black carbon types, Atmos. Meas. Tech., 5, 1031–1043, <a href="https://doi.org/10.5194/amt-5-1031-2012" target="_blank">https://doi.org/10.5194/amt-5-1031-2012</a>, 2012a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Laborde, M., Schnaiter, M., Linke, C., Saathoff, H., Naumann, K.-H., Möhler, O., Berlenz, S., Wagner, U., Taylor, J. W., Liu, D., Flynn, M., Allan, J. D., Coe, H., Heimerl, K., Dahlkötter, F., Weinzierl, B., Wollny, A. G., Zanatta, M., Cozic, J., Laj, P., Hitzenberger, R., Schwarz, J. P., and Gysel, M.: Single Particle Soot Photometer intercomparison at the AIDA chamber, Atmos. Meas. Tech., 5, 3077–3097, <a href="https://doi.org/10.5194/amt-5-3077-2012" target="_blank">https://doi.org/10.5194/amt-5-3077-2012</a>, 2012b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Langridge, J. M., Richardson, M. S., Lack, D. A., Brock, C. A., and Murphy,
D. M.: Limitations of the Photoacoustic Technique for Aerosol Absorption
Measurement at High Relative Humidity, Aerosol Sci. Technol., 47, 1163–1173,
<a href="https://doi.org/10.1080/02786826.2013.827324" target="_blank">https://doi.org/10.1080/02786826.2013.827324</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Linke, C., Ibrahim, I., Schleicher, N., Hitzenberger, R., Andreae, M. O., Leisner, T., and Schnaiter, M.: A novel single-cavity three-wavelength photoacoustic spectrometer for atmospheric aerosol research, Atmos. Meas. Tech., 9, 5331–5346, <a href="https://doi.org/10.5194/amt-9-5331-2016" target="_blank">https://doi.org/10.5194/amt-9-5331-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Liu, C., Xu, X., Yin, Y., Schnaiter, M., and Yung, Y. L.: Black carbon
aggregates: A database for optical properties, J. Quant. Spectrosc. Ra., 222–223, 170–179, <a href="https://doi.org/10.1016/j.jqsrt.2018.10.021" target="_blank">https://doi.org/10.1016/j.jqsrt.2018.10.021</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Moosmüller, H., Chakrabarty, R. K., and Arnott, W. P.: Aerosol light
absorption and its measurement: A review, J. Quant. Spectrosc. Ra., 110, 844–878, <a href="https://doi.org/10.1016/j.jqsrt.2009.02.035" target="_blank">https://doi.org/10.1016/j.jqsrt.2009.02.035</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Schmale, J., Flanner, M., Kang, S., Sprenger, M., Zhang, Q., Guo, J., Li,
Y., Schwikowski, M., and Farinotti, D.: Modulation of snow reflectance and
snowmelt from Central Asian glaciers by anthropogenic black carbon, Sci.
Rep.-UK, 7, 1–10, <a href="https://doi.org/10.1038/srep40501" target="_blank">https://doi.org/10.1038/srep40501</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Schnaiter, M., Linke, C., Möhler, O., Naumann, K. H., Saathoff, H.,
Wagner, R., Schurath, U., and Wehner, B.: Absorption amplification of black
carbon internally mixed with secondary organic aerosol, J. Geophys. Res., 110, D19204,
<a href="https://doi.org/10.1029/2005JD006046" target="_blank">https://doi.org/10.1029/2005JD006046</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Schnaiter, M., Gimmler, M., Llamas, I., Linke, C., Jäger, C., and Mutschke, H.: Strong spectral dependence of light absorption by organic carbon particles formed by propane combustion, Atmos. Chem. Phys., 6, 2981–2990, <a href="https://doi.org/10.5194/acp-6-2981-2006" target="_blank">https://doi.org/10.5194/acp-6-2981-2006</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Schwarz, J. P., Doherty, S. J., Li, F., Ruggiero, S. T., Tanner, C. E., Perring, A. E., Gao, R. S., and Fahey, D. W.: Assessing Single Particle Soot Photometer and Integrating Sphere/Integrating Sandwich Spectrophotometer measurement techniques for quantifying black carbon concentration in snow, Atmos. Meas. Tech., 5, 2581–2592, <a href="https://doi.org/10.5194/amt-5-2581-2012" target="_blank">https://doi.org/10.5194/amt-5-2581-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Schwarz, J. P., Gao, R. S., Perring, A. E., Spackman, J. R., and Fahey, D. W.:
Black carbon aerosol size in snow., Nat. Sci. Rep., 3, 1356,
<a href="https://doi.org/10.1038/srep01356" target="_blank">https://doi.org/10.1038/srep01356</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Sinha, P. R., Kondo, Y., Goto-Azuma, K., Tsukagawa, Y., Fukuda, K., Koike,
M., Ohata, S., Moteki, N., Mori, T., Oshima, N., Førland, E. J., Irwin,
M., Gallet, J. C., and Pedersen, C. A.: Seasonal Progression of the
Deposition of Black Carbon by Snowfall at Ny-Ålesund, Spitsbergen, J.
Geophys. Res.-Atmos., 123, 997–1016, <a href="https://doi.org/10.1002/2017JD028027" target="_blank">https://doi.org/10.1002/2017JD028027</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Sun, J., Birmili, W., Hermann, M., Tuch, T., Weinhold, K., Spindler, G.,
Schladitz, A., Bastian, S., Löschau, G., Cyrys, J., Gu, J., Flentje, H.,
Briel, B., Asbach, C., Kaminski, H., Ries, L., Sohmer, R., Gerwig, H.,
Wirtz, K., Meinhardt, F., Schwerin, A., Bath, O., Ma, N., and Wiedensohler,
A.: Variability of black carbon mass concentrations, sub-micrometer particle
number concentrations and size distributions: results of the German
Ultrafine Aerosol Network ranging from city street to High Alpine locations,
Atmos. Environ., 202, 256–268,
<a href="https://doi.org/10.1016/j.atmosenv.2018.12.029" target="_blank">https://doi.org/10.1016/j.atmosenv.2018.12.029</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Teng, S., Liu, C., Schnaiter, M., Chakrabarty, R. K., and Liu, F.: Accounting for the effects of nonideal minor structures on the optical properties of black carbon aerosols, Atmos. Chem. Phys., 19, 2917–2931, <a href="https://doi.org/10.5194/acp-19-2917-2019" target="_blank">https://doi.org/10.5194/acp-19-2917-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Toprak, E. and Schnaiter, M.: Fluorescent biological aerosol particles measured with the Waveband Integrated Bioaerosol Sensor WIBS-4: laboratory tests combined with a one year field study, Atmos. Chem. Phys., 13, 225–243, <a href="https://doi.org/10.5194/acp-13-225-2013" target="_blank">https://doi.org/10.5194/acp-13-225-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Wagner, R., Ajtai, T., Kandler, K., Lieke, K., Linke, C., Müller, T., Schnaiter, M., and Vragel, M.: Complex refractive indices of Saharan dust samples at visible and near UV wavelengths: a laboratory study, Atmos. Chem. Phys., 12, 2491–2512, <a href="https://doi.org/10.5194/acp-12-2491-2012" target="_blank">https://doi.org/10.5194/acp-12-2491-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Warren, G. S.: Optical properties of snow, Rev.
Geophys. Space Phys., 20, 67–89, 1982.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Warren, S. G.: Light-Absorbing Impurities in Snow: A Personal and Historical
Account, Front. Earth Sci., 6, 1–8,
<a href="https://doi.org/10.3389/feart.2018.00250" target="_blank">https://doi.org/10.3389/feart.2018.00250</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Warren, S. G. and Wiscombe, W. J.: A Model for the Spectral Albedo of Snow.
II: Snow Containing Atmospheric Aerosols, J. Atmos. Sci., 37, 2734–2745,
1980.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Warren, S. G. and Wiscombe, W. J.: Dirty snow after nuclear war, Nature,
313, 467–470, <a href="https://doi.org/10.1038/313467a0" target="_blank">https://doi.org/10.1038/313467a0</a>, 1985.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Wendl, I. A., Menking, J. A., Färber, R., Gysel, M., Kaspari, S. D., Laborde, M. J. G., and Schwikowski, M.: Optimized method for black carbon analysis in ice and snow using the Single Particle Soot Photometer, Atmos. Meas. Tech., 7, 2667–2681, <a href="https://doi.org/10.5194/amt-7-2667-2014" target="_blank">https://doi.org/10.5194/amt-7-2667-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Wu, G. M., Cong, Z. Y., Kang, S. C., Kawamura, K., Fu, P. Q., Zhang, Y. L.,
Wan, X., Gao, S. P., and Liu, B.: Brown carbon in the cryosphere: Current
knowledge and perspective, Adv. Clim. Chang. Res., 7, 82–89,
<a href="https://doi.org/10.1016/j.accre.2016.06.002" target="_blank">https://doi.org/10.1016/j.accre.2016.06.002</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
You, R., Radney, J. G., Zachariah, M. R., and Zangmeister, C. D.: Measured
Wavelength-Dependent Absorption Enhancement of Internally Mixed Black Carbon
with Absorbing and Nonabsorbing Materials, Environ. Sci. Technol., 50,
7982–7990, <a href="https://doi.org/10.1021/acs.est.6b01473" target="_blank">https://doi.org/10.1021/acs.est.6b01473</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Yuan, Y., Ries, L., Petermeier, H., Trickl, T., Leuchner, M., Couret, C., Sohmer, R., Meinhardt, F., and Menzel, A.: On the diurnal, weekly, and seasonal cycles and annual trends in atmospheric CO<sub>2</sub> at Mount Zugspitze, Germany, during 1981–2016, Atmos. Chem. Phys., 19, 999–1012, <a href="https://doi.org/10.5194/acp-19-999-2019" target="_blank">https://doi.org/10.5194/acp-19-999-2019</a>, 2019.

</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Zangmeister, C. D., You, R., Lunny, E. M., Jacobson, A. E., Okumura, M.,
Zachariah, M. R., and Radney, J. G.: Measured in-situ mass absorption spectra
for nine forms of highly-absorbing carbonaceous aerosol, Carbon N. Y., 136,
85–93, <a href="https://doi.org/10.1016/j.carbon.2018.04.057" target="_blank">https://doi.org/10.1016/j.carbon.2018.04.057</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Zhang, Y., Kang, S., Li, C., Gao, T., Cong, Z., Sprenger, M., Liu, Y., Li,
X., Guo, J., Sillanpää, M., Wang, K., Chen, J., Li, Y., and Sun, S.:
Characteristics of black carbon in snow from Laohugou No. 12 glacier on the
northern Tibetan Plateau, Sci. Total Environ., 607–608, 1237–1249,
<a href="https://doi.org/10.1016/j.scitotenv.2017.07.100" target="_blank">https://doi.org/10.1016/j.scitotenv.2017.07.100</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Zhang, Y., Kang, S., Sprenger, M., Cong, Z., Gao, T., Li, C., Tao, S., Li, X., Zhong, X., Xu, M., Meng, W., Neupane, B., Qin, X., and Sillanpää, M.: Black carbon and mineral dust in snow cover on the Tibetan Plateau, The Cryosphere, 12, 413–431, <a href="https://doi.org/10.5194/tc-12-413-2018" target="_blank">https://doi.org/10.5194/tc-12-413-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Zhou, Y., Wang, X., Wu, X., Cong, Z., Wu, G., and Ji, M.: Quantifying light
absorption of iron oxides and carbonaceous aerosol in seasonal snow across
Northern China, Atmosphere (Basel), 8, 15–22, <a href="https://doi.org/10.3390/atmos8040063" target="_blank">https://doi.org/10.3390/atmos8040063</a>,
2017.
</mixed-citation></ref-html>--></article>
