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  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</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/amt-14-1225-2021</article-id><title-group><article-title>Facility for production of ambient-like model aerosols (PALMA) in the laboratory: application in the intercomparison of automated PM monitors with the reference gravimetric method</article-title><alt-title>Facility for production of ambient-like model aerosols (PALMA)</alt-title>
      </title-group><?xmltex \runningtitle{Facility for production of ambient-like model aerosols (PALMA)}?><?xmltex \runningauthor{S. Horender et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Horender</surname><given-names>Stefan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Auderset</surname><given-names>Kevin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Quincey</surname><given-names>Paul</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Seeger</surname><given-names>Stefan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2631-3158</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Skov</surname><given-names>Søren Nielsen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Dirscherl</surname><given-names>Kai</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Smith</surname><given-names>Thomas O. M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Williams</surname><given-names>Katie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Aegerter</surname><given-names>Camille C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kalbermatter</surname><given-names>Daniel M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3427-4504</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Gaie-Levrel</surname><given-names>François</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Vasilatou</surname><given-names>Konstantina</given-names></name>
          <email>konstantina.vasilatou@metas.ch</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Federal Institute of Metrology METAS, Bern-Wabern, 3003, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Physical Laboratory (NPL), Teddington, London, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Bundesanstalt für Materialforschung und -prüfung (BAM), Berlin, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Bioengineering and Environmental Technology, Danish Technological Institute (DTI), Aarhus, Denmark</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Danish National Metrology Institute (DFM), Kogle Alle 5, 2970 Hørsholm, Denmark</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Laboratoire national de métrologie et d'essais (LNE), Paris, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Konstantina Vasilatou (konstantina.vasilatou@metas.ch)</corresp></author-notes><pub-date><day>16</day><month>February</month><year>2021</year></pub-date>
      
      <volume>14</volume>
      <issue>2</issue>
      <fpage>1225</fpage><lpage>1238</lpage>
      <history>
        <date date-type="received"><day>7</day><month>September</month><year>2020</year></date>
           <date date-type="rev-request"><day>7</day><month>October</month><year>2020</year></date>
           <date date-type="rev-recd"><day>11</day><month>January</month><year>2021</year></date>
           <date date-type="accepted"><day>12</day><month>January</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Stefan Horender et al.</copyright-statement>
        <copyright-year>2021</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://amt.copernicus.org/articles/14/1225/2021/amt-14-1225-2021.html">This article is available from https://amt.copernicus.org/articles/14/1225/2021/amt-14-1225-2021.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/14/1225/2021/amt-14-1225-2021.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/14/1225/2021/amt-14-1225-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e215">A new facility has been developed which allows for a stable and reproducible production of
ambient-like model aerosols (PALMA) in the laboratory. The set-up consists of multiple aerosol
generators, a custom-made flow tube homogeniser, isokinetic sampling probes, and a system to
control aerosol temperature and humidity. Model aerosols containing elemental carbon, secondary
organic matter from the ozonolysis of <inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, inorganic salts such as ammonium sulfate
and ammonium nitrate, mineral dust particles, and water were generated under different environmental
conditions and at different number and mass concentrations. The aerosol physical and chemical
properties were characterised with an array of experimental methods, including scanning mobility
particle sizing, ion chromatography, total reflection X-ray fluorescence spectroscopy and
thermo-optical analysis. The facility is very versatile and can find applications in the
calibration and performance characterisation of aerosol instruments monitoring ambient air. In
this study, we performed, as proof of concept, an intercomparison of three different commercial
PM (particulate matter) monitors (TEOM 1405, DustTrak DRX 8533 and Fidas Frog) with the
gravimetric reference method under three simulated environmental scenarios. The results are
presented and compared to previous field studies. We believe that the laboratory-based method for
simulating ambient aerosols presented here could provide in the future a useful alternative to
time-consuming and expensive field campaigns, which are often required for instrument
certification and calibration.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <?pagebreak page1226?><p id="d1e234">Atmospheric pollution by airborne particles significantly contributes to climate change and has been
linked to respiratory and cardiovascular diseases and lung cancer (Fuzzi et al., 2015; Kim et al.,
2015; WHO, 2013). It has been estimated that in Europe alone more than 500 000 deaths per year can
be attributed to PM exposure, and that pollution hot spots of PM are responsible for a loss in life
expectancy of up to 36 months (Fuzzi et al., 2015). For EU member states, air quality monitoring –
as laid down in the Air Quality Directive 2008/50/EC (European Parliament, 2008, 2015) – is
mandatory and comprises quantification of airborne particulate matter (PM) and some of its
constituents. The most important regulated metric to monitor particulate air pollution is the mass
concentration, or more specifically the total mass per unit volume of air of particulate matter
which is small enough to pass through a size-selective inlet with a 50 % efficiency cut-off at
2.5 and 10 <inline-formula><mml:math id="M2" 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> aerodynamic diameter, commonly referred to as
PM<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> respectively. Ambient limit values for PM<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and
PM<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> have been established in Europe (European Parliament, 2008, 2015; FOEN, 2018), the
USA (US-EPA, 2016) and other countries worldwide.</p>
      <p id="d1e283">Regulatory bodies, air quality networks and atmospheric instrument manufacturers all strive to
improve air quality monitoring, yet there is still a lack of metrological traceability in airborne
PM measurements. PM mass concentration was established as the default metric of PM based on the
assumption that mass measurements are straightforward; they can be performed with a conventional
balance. The gravimetric filter-based reference methods for PM<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> are
set out in the standards EN 12341:2014 (CEN/TC 264/WG-15, 2014) and EN 14907:2005; however, they
fall short in areas such as time resolution and ongoing quality assurance and quality control to
control the effects of semi-volatile particles and water absorption by particles, for example
(CEN/TC 264/WG-15, 2014; Eisner and Wiener, 2002; Hauck et al., 2004; Zhu et al., 2007). The
measurement uncertainties for PM mass concentration in the directive (European Parliament, 2008,
2015) are 25 %, and thus much higher than those for gaseous pollutants (typically 15 %).</p>
      <p id="d1e304">Automatic PM monitoring systems were developed in order to avoid these drawbacks and enable time
resolutions below 24 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> (Schwab et al., 2006; Weingartner et al., 2011; Zhu et al., 2007);
however, demonstrating their equivalence to the reference manual gravimetric method is time
consuming and expensive (Hauck et al., 2004; Zhu et al., 2007). There are also inconsistencies in
the automatic instruments based on different working principles (e.g. light scattering, beta
absorption, oscillating microbalance) and the variations of the aerosols used for comparison.
Ambient PM is not uniform with respect to chemical composition, particle size and shape. In most
cases, PM does not refer to a single pollutant with a distinct chemical signature, but rather to a
highly variable mixture of combustion particles, salts, mineral dust, organic substances and other
materials (Hueglin et al., 2005; Putaud et al., 2010). Therefore, suitable standard calibration
aerosols do not currently exist.</p>
      <p id="d1e315">To date, automated PM instruments which are used for regulatory purposes (e.g. at national air
quality monitoring stations) are tested for equivalence with the manual gravimetric reference method
in monitoring sites using real ambient air (EC-WG, 2010; Hauck et al., 2004). This requires long and
expensive testing campaigns at multiple sites during different times of the year in an attempt to
include all representative meteorological conditions and the temporal and spatial variations of the
ambient air composition. Portable and cost-effective PM monitors, such as the DustTrak (TSI Inc.,
USA) and Fidas Frog (Palas, Germany), which are mostly employed for industrial or occupational hygiene
surveys (Asbach et al., 2018; Davison et al., 2019; Grzyb and Lenart-Boron, 2019), outdoor (Kingham
et al., 2006; Viana et al., 2015; Wallace et al., 2011) and indoor (Chowdhury et al., 2013;
Manibusan and Mainelis, 2020; Zhou et al., 2016) air quality investigations, process or emissions
monitoring (Al-Attabi et al., 2017; Crilley et al., 2012; Grall et al., 2018; McNamara et al., 2011),
and aerosol research studies, do not necessarily go through equivalence testing. Instead, they are
often calibrated in the laboratory with simple model aerosols, e.g. with dust or salt particles
(Hogrefe et al., 2004; Liu et al., 2017; Papapostolou et al., 2017; Schwab et al., 2004) or dried
organic particles, such as sucrose and adipic acid (Zhang et al., 2018). Such model aerosols,
however, are only partially representative of ambient air since they fail to account for
carbonaceous particles and the complex organic matter, which constitute a considerable mass fraction
of airborne particulates (Hueglin et al., 2005; Putaud et al., 2010). Light-scattering PM monitors
are very sensitive to the aerosol size distribution, refractive index (i.e. chemistry) and
humidity, and research findings suggest that a rigorous calibration with “tailored” aerosols,
i.e. aerosols representative of the environment of their intended use, is needed (Jayaratne et al.,
2020; McNamara et al., 2011).</p>
      <p id="d1e319">The goal of this study was to develop a standardised laboratory-based calibration procedure for
automatic PM-measuring instruments under well-controlled and reproducible experimental
conditions. Multi-component model aerosols were generated in order to reproduce the main properties
of real ambient air in terms of particle size distribution, chemical composition and number/mass
concentration, including semi-volatility and hygroscopicity. The properties of ambient air, of
course, may differ dramatically from place to place. Here, the main focus was on simulating aerosols
encountered in Europe (Putaud et al., 2010), which are dominated by organic matter, inorganic ions
(predominantly sulfate and nitrate, and to a lesser extent ammonium), carbonaceous particles
(mostly from fossil fuel combustion rather than biomass burning), mineral dust and water.</p>
      <p id="d1e322">Apart from the aerosol generation system (detailed below), the new set-up comprises a flow tube
homogeniser and a system for reference gravimetric measurements. The facility is very versatile: the
total PM mass concentration of the model aerosols can be adjusted in a range from a few micrograms per cubic metre up to about 500 <inline-formula><mml:math id="M10" 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">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>; the percentage fraction of each PM
constituent can be tuned to simulate different urban, suburban or rural aerosols; and the aerosol
temperature and relative humidity can be adjusted to simulate winter or summer-like environmental
conditions. As a proof of concept, three different automated PM monitors, the TEOM 1405 (Thermo
Scientific, USA), the DustTrak DRX 8533 (TSI Inc., USA) and the Fidas Frog (Palas, Germany), were
compared with the reference gravimetric method under three different environmental scenarios. To our
knowledge, this is the very first intercomparison involving the Fidas Frog.</p>
      <p id="d1e344">Here, we focused on the calibration of the PM monitors' particle quantification, rather than the
particle inlet size selection; i.e. the TEOM 1405 unit was calibrated without<?pagebreak page1227?> its PM sampling
inlet. The Fidas Frog and DustTrak DRX 8533, which are optical instruments, do not possess any
size-selective inlet. The facility could be, however, extended in the future to calibrate PM
monitors together with their sampling inlets, if needed. Finally, the facility for generating
ambient-like model aerosols presented in this study is not only relevant for the calibration of PM
monitors but can find applications in the performance evaluation and quality assurance of other
aerosol instruments meant for monitoring ambient, indoor and workplace air as well as in controlled
health studies and in vitro toxicology.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Design and validation of the experimental set-up</title>
      <p id="d1e355">The experimental set-up consists of three distinct parts: (i) the generators of the primary aerosols
(dust, salts, soot and aged soot); (ii) a flow tube homogeniser for aerosol mixing, including
isokinetic sampling probes; and (iii) a system for reference gravimetric measurements. Each part is
described in more detail in the following subsections.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Aerosol generation</title>
      <p id="d1e365">Four primary aerosols, fresh soot, aged (i.e. organically coated) soot, inorganic salt and mineral
dust particles, were generated as depicted in Fig. 1. Fresh soot particles were generated with a
miniCAST 6204 burner (Jing Ltd., Switzerland). The operation point was optimised to produce
combustion particles with a geometric mean mobility diameter (GMD) of 90 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> and EC <inline-formula><mml:math id="M12" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TC
(elemental carbon to total carbon) mass fraction of <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">90</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>. The combustion aerosol was split in
two portions; one portion was led to the exhaust and the other through a metallic agglomeration tube
(1.2 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> long, 5 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> internal diameter), where the soot particles grew to about
120 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. The mobility diameter was measured by a scanning mobility particle sizer (SMPS). The
combustion aerosol was subsequently diluted by a factor of 10 with a VKL10 dilution unit (Palas,
Germany). The outlet flow was delivered into an oxidation flow reactor known as the Micro Smog Chamber
(MSC prototype developed by Keller and Burtscher, 2012, and used by Bruns et al., 2015; Corbin et al., 2015b, 2015a; Keller and Burtscher, 2012), where soot was mixed with a controlled
amount of <inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene vapours (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">97</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> purity, Sigma Aldrich, Switzerland) under dry
conditions (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mtext>RH</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>). The concentration of <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene at the inlet of the MSC was
determined with a photoionisation detector (PID PhoCheck TIGER, Ion Science Ltd, UK) after filtering
out the particles. The concentration could be varied by adjusting the flow of air through the
<inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene container (gas bubbler) and typically ranged between 60 and 70 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula>. RH was
measured with a digital humidity sensor (FHAD 46 series/Almemo D6, Ahlborn, Germany). The aerosol
flow through the MSC was set to 1.2 <inline-formula><mml:math id="M23" 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> with the use of a miniature radial air
blower (model H015X-525A9 with controller, Micronel AG, Switzerland). Higher aerosol flows through
the MSC would lead to the residence time in the reactor being too short and should be avoided.
<inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-Pinene underwent ozonolysis in the MSC, forming secondary organic aerosol (SOA), part of
which condensed on the surface of the soot particles, simulating atmospheric ageing procedures (Ess
et al., 2020).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e505">Schematic illustration of the experimental set-up. DUT stands for device under testing.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/1225/2021/amt-14-1225-2021-f01.png"/>

        </fig>

      <p id="d1e514">The GMD of the soot mobility size distribution was shifted to 160 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> upon coating with SOA,
and the EC <inline-formula><mml:math id="M26" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TC mass fraction dropped to about 20 %. In parallel, fresh soot particles
(120 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> mobility diameter) were sampled from the exhaust of the VKL10 dilution unit with the
use of a second Micronel blower at flows between 1 and 2 <inline-formula><mml:math id="M28" 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>.</p>
      <p id="d1e558">Mineral dust particles (ISO 12103-1 A2 fine test dust, Powder Technology Inc., USA) were generated
with a rotating brush generator (RBG 1000, Palas, Germany) and were injected horizontally into an
empty vessel, which acted as a swirl separator, filtering out the largest size fraction above
PM<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>. Alternatively, whenever calibration with respect to the PM<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> faction is
desired, a PM<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> impactor can be installed right before injecting the dust particles into
the homogeniser.</p>
      <p id="d1e588">Inorganic salt particles were generated by nebulising aqueous mixtures of ammonium sulfate and
ammonium nitrate at various ratios with the use of a TSI 3076 atomiser (TSI Inc., USA). The
particles were passed through a 1.5 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> long, spiral-shaped agglomeration tube to increase the
GMD of the (number-based) mobility size distribution to about 100 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> (the mass-based
aerodynamic size distribution shows a maximum at <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">200</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>). The aim was to simulate
the presence of ammonium, nitrate and sulfate ions in the fine mode of atmospheric particle size
distributions (Liu et al., 2000; Wall et al., 1988; Zhuang et al., 1999). Although generation of
coarse-mode nitrate, formed at coastal areas by the reaction of gas-phase nitric acid with sea-salt
or soil dust particles, or coarse-mode sulfate was not actively pursued, there is evidence (see
Sect. 3) of coarse-sulfate formation. Presumably, this is either due to internal mixing of sulfate
ions and mineral dust particles in the flow tube homogeniser or to deposition of salt particles in
the aerosol pipes and consequent re-entrainment of agglomerates, which are larger than the particles
initially produced by the generator.</p>
      <p id="d1e621">The primary aerosols were introduced into a flow tube homogeniser (see Sect. 2.2) through separate
injection ports. The flow of each primary aerosol entering the homogeniser could be regulated with
separate mass flow controllers (Red-y MFC, Vögtlin, Switzerland) by splitting and directing part
of the main primary aerosol flow to the exhaust. A filter (HEPA capsule, Pall Corporation, USA) was
placed upstream of each MFC to remove the particles from the air flow. All four MFCs were connected
to the same aerosol pump (VTE8, Thomas, Germany) as shown in Fig. 1.</p>
      <?pagebreak page1228?><p id="d1e624">The mobility diameter and number concentration of the soot and salt particles were determined with a
scanning mobility particle sizer (SMPS 4.500, Grimm Aerosol Technik GmbH &amp; Co. KG, Germany,
L-DMA, Am-241 neutraliser, scan time 695 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>). The mass concentration of each primary aerosol
was measured with a tapered element oscillating microbalance (TEOM 1405, Thermo Scientific, USA),
operated at a flow rate of 3 <inline-formula><mml:math id="M36" 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 temperature of 30 <inline-formula><mml:math id="M37" 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>. The
TEOM data were recorded via a custom-made LabVIEW routine every 6 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> without averaging. The
size distribution of the dust particles was measured with a Fidas Frog fine-dust monitor (Palas,
Germany) and a high-resolution optical particle counter LAS-X II (Particle Measuring Systems, USA).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Aerosol homogenisation and sampling</title>
      <p id="d1e680">The homogeniser is a 2.1 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> long custom-made stainless steel tube with an inner diameter of
16.4 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>, placed vertically. The design is based on a previous study but has been
significantly improved, and the facility has been shortened (Horender et al., 2019). The tube is
equipped with five identical inlets, placed at the very top as shown in Figs. 1 and 2a. Dilution air
(filtered, humidity and temperature controlled) is delivered to each one of the inlets at a flow rate
of 24 <inline-formula><mml:math id="M41" 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 air is conditioned in two steps (Niedermeier et al., 2020) in such a
way that the humidified air is particle-free: first, the dew point is adjusted by passing the air
through a Nafion humidifier (Series FC125-240-10MP, PermaPure, USA) filled with water
(ultra-analytic grade, Purelab ultra, ELGA, Switzerland) at a preselected water temperature,
adjusted between 3 and 30 <inline-formula><mml:math id="M42" 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> with a cryostat–thermostat (LAUDA
Ecoline Staredition RE 306, Lauda DR. R. Wobser GmbH &amp; Co. KG, Germany). After being put through the Nafion
humidifier, the air is fully saturated with water. Subsequently, the air is guided through a heated
hose (Series T-7000, Thermocoax Isopad GmbH, Germany), where the temperature can be adjusted up to
100 <inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The temperature and RH of the aerosol were monitored in the homogeniser at
the height of the sampling probes with digital sensors (FHAD 46 series/Almemo D6, Ahlborn, Germany).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e739"><bold>(a)</bold> Computer-aided design (CAD, Inventor Professional 2019, Autodesk, USA) of the
homogeniser. Panels <bold>(b)</bold> and <bold>(c)</bold> show enlarged views of the primary aerosol
inlets and isokinetic sampling probes, respectively.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/1225/2021/amt-14-1225-2021-f02.png"/>

        </fig>

      <?pagebreak page1229?><p id="d1e756">The primary aerosols are injected in the middle of the tube through separate ports located
50 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> downstream as shown in Fig. 2b. The dilution air sweeps the particles down the tube,
where they are further mixed by three turbulent jets of air. The three air-jet injection tubes (flow
rate 20 <inline-formula><mml:math id="M45" 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> each) are placed symmetrically around the homogeniser tube pointing
60<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> downwards (Fig. 2b). The total flow rate of the homogenised aerosol is hence equal to
180 <inline-formula><mml:math id="M47" 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> plus the flows of the four primary aerosols (in total less than
10 <inline-formula><mml:math id="M48" 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 temperature and relative humidity of the air jets are adjusted as
described above for the dilution air. Finally, the homogeniser is surrounded by copper tubes with
flowing water in order to maintain the stainless-steel tube at the same temperature as the
aerosol. The temperature of water is adjusted by a flow-type cooler (AS-160 Green Line, Lindr, Czech
Republic) or a thermostat (LAUDA EcoGold E4, Lauda DR. R. Wobser GmbH &amp; Co. KG, Germany). The
water flows in a closed loop, i.e. circulates back to the cryostat–thermostat as shown in Fig. 1.
Currently, the homogeniser can only be cooled down to about 10 <inline-formula><mml:math id="M49" 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>, and this poses
limitations to the environmental conditions which can be simulated in the laboratory; even though
the aerosol entering the homogeniser can be preconditioned at a temperature down to about
5 <inline-formula><mml:math id="M50" 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>, the aerosol temperature at the outlet of the homogeniser will always be
<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e871">The sampling zone is located 1.25 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> downstream of the injection position and accommodates
isokinetic sampling probes (funnels) placed at the bottom end of the homogeniser as illustrated in
Fig. 2c. Isokinetic conditions are necessary when sampling with instruments operating at different
flow rates to ensure representative sampling, e.g. by minimising sampling artefacts of larger
particles. Several custom-made sampling probes with different cross sections have been therefore
designed to match the flow rate of the various automated PM monitors, which typically ranges between
0.2 and 20 <inline-formula><mml:math id="M53" 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>. It is worth noting that the sampling system is
highly adaptable; the lower end (outlet) of each sampling probe has custom-made threads so that it
can be screwed in and out of the bottom metallic plate of the homogeniser. This ensures that the
sampling probes can be readily exchanged before each experiment depending on the specifications of
the PM monitors under testing. Finally, the excess aerosol flow exits the homogeniser through an
exhaust outlet connected to a vacuum line as illustrated schematically in Fig. 1.</p>
      <p id="d1e899">To characterise the aerosol homogeneity in the flow tube as a function of particle size, sodium
chloride (<inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NaCl</mml:mi></mml:mrow></mml:math></inline-formula>) particles with a geometric mean mobility diameter of 50 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> and
mineral dust particles with an aerodynamic diameter in the lower micrometre range (ISO A2 dust) were
generated with a nebuliser and a rotating-brush generator, respectively, as described in
Sect. 2.1. Two parallel sampling lines were inserted into the flow tube at the height where the
sampling probes would be normally located; the position of the first sampling line was kept fixed at
the centre of the flow tube (radial position 0), whereas the second one was placed consecutively at a
distance <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">70</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> with respect to
the centre. The outlet of each sampling line was connected to a calibrated condensation particle counter (CPC; Models 3775 and
3776, respectively, TSI inc., USA). In total, concentration measurements at eight different
positions along the diameter of the flow tube were performed. The particle number concentration
measured at the centre was used as reference (<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>ref</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and the aerosol homogeneity
was calculated as <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The flow rate of each CPC was 0.3 <inline-formula><mml:math id="M66" 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 the inner diameter of the sampling line was 6 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>. This configuration ensured nearly
isokinetic sampling.</p>
      <p id="d1e1071">The tests were performed with NaCl and mineral dust particles separately. In both cases the aerosol
spatial homogeneity was found to be well within 3 % in number concentration as shown in Fig. 3a
and b, respectively, indicating that the particle mixing characteristics do not depend on particle
size in the tested range (i.e. from lower nanometre to lower micrometre range). A final test was
performed by mixing NaCl and dust particles to investigate whether the particle mixing properties
are affected when two primary aerosols are introduced into the homogeniser simultaneously. It was
confirmed that the aerosol homogeneity remains well within <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> (measurements not shown),
indicating that the simultaneous injection of primary aerosols into the homogeniser through separate
ports (see Fig. 2b) does not compromise particle mixing in any way.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1089">Aerosol spatial homogeneity, <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mtext>hom</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, at various radial positions
along the diameter of the flow tube with <bold>(a)</bold> <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NaCl</mml:mi></mml:mrow></mml:math></inline-formula> (sodium chloride) and
<bold>(b)</bold> mineral dust particles as test aerosols. The measurements at positions
<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> were performed twice to assess measurement
reproducibility. The error bars designate expanded uncertainties (95 % confidence
level). These are type B uncertainties from the combined measurement uncertainties of the two CPCs
and have no influence on the determination of homogeneity since they would shift all data points
upwards or downwards by the same amount.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/1225/2021/amt-14-1225-2021-f03.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Table}?><label>Table 1</label><caption><p id="d1e1173">Example of the uncertainty budget for a PM<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass concentration of
40 <inline-formula><mml:math id="M75" 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> and a sampling time of 240 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Quantity</oasis:entry>
         <oasis:entry colname="col2">Value</oasis:entry>
         <oasis:entry colname="col3">Standard uncertainty</oasis:entry>
         <oasis:entry colname="col4">Relative uncertainty</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(example)</oasis:entry>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(95 % confidence level)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M80" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">240 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">negligible</oasis:entry>
         <oasis:entry colname="col4">negligible</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>rel</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.00</oasis:entry>
         <oasis:entry colname="col3">0.01</oasis:entry>
         <oasis:entry colname="col4">2 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mtext>hom</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.000</oasis:entry>
         <oasis:entry colname="col3">0.013</oasis:entry>
         <oasis:entry colname="col4">2.6 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M84" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">38.333 <inline-formula><mml:math id="M85" 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></oasis:entry>
         <oasis:entry colname="col3">0.058 <inline-formula><mml:math id="M86" 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></oasis:entry>
         <oasis:entry colname="col4">0.30 % <inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M88" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">368.0<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</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></oasis:entry>
         <oasis:entry colname="col3">8.4 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</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></oasis:entry>
         <oasis:entry colname="col4">4.6 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mtext>ref</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">40.00 <inline-formula><mml:math id="M93" 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">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></oasis:entry>
         <oasis:entry colname="col3">1.13 <inline-formula><mml:math id="M94" 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">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></oasis:entry>
         <oasis:entry colname="col4">5.7 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e1212"><inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> The mass flow meter (Natec Sensors GmbH, Germany) was calibrated at
METAS in a traceable manner. The expanded relative uncertainty on the
calibration certificate amounts to 0.15 %. Here, a conservative
estimation of 0.30 % was made to account for possible drifts since the
time of calibration. <inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Assuming no loss of particulate mass during filter conditioning.</p></table-wrap-foot></table-wrap>

      <p id="d1e1556">By calculating the standard deviation of all 28 measured data points, the spatial inhomogeneity of
the aerosol in terms of number concentration was found to be 1.3 % for coverage factor <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>
(i.e. 68 % confidence level) or 2.6 % for <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2<?pagebreak page1230?></mml:mn></mml:mrow></mml:math></inline-formula> (i.e. 95 % confidence level). This is
used as an estimate for the uncertainty of the aerosol spatial homogeneity <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mtext>hom</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (see fourth row of Table 1). This is a crucial parameter which had not been evaluated so rigorously, if at all,
in previous chamber studies (Hogrefe et al., 2004; Liu et al., 2017; Papapostolou et al., 2017;
Schwab et al., 2004; Zhu et al., 2007).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Reference gravimetric method</title>
      <p id="d1e1602">The reference method used in this study for determining the PM<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> or PM<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass
concentrations of particulate matter in the synthetic ambient aerosols is similar to the method
described in the standard EN 12341:2014 (CEN/TC 264/WG-15, 2014); i.e. particulate matter was
sampled on filters and weighed by means of a balance. The only major deviation from the requirements
of the standard is the absence of any size-selective inlets upstream of the automatic PM samplers
and the filter holder of the reference gravimetric method.</p>
      <p id="d1e1623"><?xmltex \hack{\newpage}?>Briefly, model aerosols were drawn through 47 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> PTFE-coated glass fibre filters
(Measurement Technology Laboratories, USA) placed in a metallic filter holder (C806 standard aerosol
filter holder, Merck Millipore, Germany). The aerosol flow was controlled with a needle valve and
measured with a calibrated mass flow meter (Natec Sensors GmbH, Germany) connected to an aerosol
pump (VTE8, Thomas, Germany) in such a way that the volumetric flow corresponded to
2.3 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</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> at ambient conditions. Here, ambient conditions refer to the aerosol
temperature and pressure in the homogeniser at the height of the sampling probes. In the EN 12341
standard, the requirement that the aerosol flow be set to 2.3 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</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="M103" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">38.33</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula>) at ambient conditions arises from the need to accurately define the
size cut-off of the PM inlets, a property that depends on the inlet flow. Since the custom-made
facility developed in this study aims at calibrating the PM monitors without their respective PM
inlet, this flow requirement is here largely superfluous, apart from effects on sampling from the
velocity of air through the filter. Nevertheless, during the experiments the aerosol flow was set to
2.3 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</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> at ambient conditions to facilitate comparison between the conventional
field-based and the new laboratory-based procedures. The connecting tube between the isokinetic
sampling probe (i.e. central sampling funnel in Fig. 2c) and the filter holder was made of inert,
electrically conducting rubber material and was kept as short as possible (<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>)
without bends to minimise deposition losses of particulate matter by kinetic processes as well as
losses due to thermal, chemical or electrostatic processes. Finally, the laboratory temperature and
pressure were kept constant at (<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mn mathvariant="normal">21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M107" 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> and (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mn mathvariant="normal">950</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>,
respectively.</p>
      <?pagebreak page1231?><p id="d1e1777">Before sampling, the filters were conditioned and weighed at the National Physical Laboratory (NPL) and shipped in individual plastic
containers to the Federal Institute of Metrology METAS. After sampling, the filter samples were placed in Petri dishes, wrapped tightly
in plastic covers and stored at 4 <inline-formula><mml:math id="M110" 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 about a week. They were then shipped to NPL
for conditioning and weighing. NPL use a Measurement Technology Laboratories robotic filter weighing
system that comprises an environmental chamber (<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mn mathvariant="normal">47.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> relative humidity), an autohandler system and a Mettler Toledo XP2U
balance. The filters are conditioned in the chamber for 48 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> before weighing. The filters
are weighed, and then the system pauses for 24 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> before reweighing the filters to identify any
time variation in filter mass. Numerous quality assurance and quality control checks are made before each set of weighings.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Uncertainty budget for the laboratory-based calibration of PM monitors</title>
      <p id="d1e1863">The reference mass concentration, <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mtext>ref</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, is given by the equation
<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mtext>ref</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mtext>hom</mml:mtext></mml:msub><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>m</mml:mi><mml:mi>V</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mi>P</mml:mi><mml:mtext>rel</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mtext>hom</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the aerosol homogeneity in the flow
tube, <inline-formula><mml:math id="M118" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> is the particulate mass collected on the filter and <inline-formula><mml:math id="M119" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is the sampled volume. <inline-formula><mml:math id="M120" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is
given by the aerosol flow through the filter, <inline-formula><mml:math id="M121" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>, multiplied by the time duration of the
measurement <inline-formula><mml:math id="M122" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>. <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>rel</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is defined as the relative particle penetration,
<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>rel</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mtext>DUT</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>DUT</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the penetration through the sampling
probe and connecting tube of the device under testing (DUT) and the reference method, respectively. The
associated uncertainties are listed in Table 1.</p>
      <p id="d1e2022">Since sampling is carried out with isokinetic sampling probes and the tubes leading to the filter
holder and the DUT are kept straight and as short as possible, particle losses are
minimised. Penetration <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>rel</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was set to 1; however, an uncertainty of 2 % was assigned to
account for the higher impaction losses of supermicrometre particles in the sampling funnel of the
reference method due to the higher sampling flow (von der Weiden et al., 2009). These losses are to
some extent counteracted by the lower diffusion losses of submicrometre particles, which decrease
with increasing sampling flow. Here, we followed a rather conservative approach and kept the
uncertainty of <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>rel</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 2 %.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Chemical characterisation of model aerosols</title>
      <p id="d1e2056">Ion chromatography was performed with a Thermo Scientific Dionex™ICS-1500 Ion
Chromatography System for analysis of anions and the ICS-2100 model for cations. The systems consist
of a liquid eluent, a high-pressure pump, an automatic sample injector, a guard and separator
column, an electrolytic suppressor, and a conductivity cell. Before running a sample, the systems
were calibrated using a traceable set of calibration standard solutions, which were prepared
in-house. The data produced by the range of calibration standard solutions were used to calculate
calibration coefficients, which were used to quantitate the sample ions.</p>
      <p id="d1e2059">Thermo-optical analysis of carbonaceous particles was performed with an OC–EC Analyzer (Lab OC-EC
Aerosol Analyzer, Sunset Laboratory Inc., USA), which classified the carbonaceous material as
elemental carbon (EC) and organic carbon (OC). The particles were sampled on quartz fibre filters
(Advantec, Tokyo, Japan, QR-100, 47 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>). For the analysis, the EUSAAR2 protocol (Cavalli et
al., 2010) was modified by extending the last temperature step (850 <inline-formula><mml:math id="M130" 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>) from
80 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> in the original protocol to 120 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> in order to ensure the complete evolution of
carbon (Ess and Vasilatou, 2019). The charring correction for pyrolysed OC was performed by
transmittance. OC, EC and TC (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mtext>total carbon</mml:mtext><mml:mo>=</mml:mo><mml:mtext>sum of OC and EC</mml:mtext></mml:mrow></mml:math></inline-formula>) masses were
calculated by the software based on instrument calibration with sucrose solutions.</p>
      <p id="d1e2110">The elemental composition of the model aerosols was characterised by combining a cascade impactor
for PM sampling with Total Reflection X-ray Fluorescence Spectroscopy (TXRF, Bruker TStar
S4™, Germany) (Osán et al., 2020). A 13-stage low-pressure cascade impactor
(Dekati DLPI 10™, Finland) with particle size range from 30 <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> to
10 <inline-formula><mml:math id="M135" 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 modified to sample at a rate of 10 <inline-formula><mml:math id="M136" 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> on smooth and clean
commercial-grade acrylic discs with 30 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> diameter, suitable for TXRF. In TXRF, the incident
X-ray beam hits the disc's surface at the total reflection angle. The fluorescence spectrum is
detected perpendicular to the surface and is dominated by the contributions from the deposit,
i.e. the sampled particles. This allows for the detection of element masses as low as
<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> to 100 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pg</mml:mi></mml:mrow></mml:math></inline-formula> and thus short sampling periods. The measured element quantities,
combined with the sampled air volume, provide the particle size-selected element mass concentrations
in the aerosol. The discs were prepared with a 50 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi></mml:mrow></mml:math></inline-formula> yttrium standard for TXRF calibration.</p>
      <p id="d1e2183">As an example, the TXRF analysis of model aerosol 1 is shown in Fig. 4. The analysis revealed that
the mineral dust particles contain primarily the elements <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Si</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Al</mml:mi></mml:mrow></mml:math></inline-formula>, and it was assumed
that these are present as oxides <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The mass-based aerodynamic
distribution of the <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> particles exhibits a maximum in the range 1–2 <inline-formula><mml:math id="M146" 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>
while the <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> particles are larger (<inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>). Sulfur (i.e. in the
form of sulfate ions) appears predominantly in the submicrometre range (aerodynamic diameter of
30 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>–1 <inline-formula><mml:math id="M150" 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>), but a second weaker mode is visible at
<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>–7 <inline-formula><mml:math id="M152" 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>, thus simulating the aerodynamic size distribution of sulfates in
ambient air (Wall et al., 1988; Zhuang et al., 1999) reasonably well. The coarse-mode arises most
probably from internal mixing of sulfate ions with mineral dust particles. Since nitrates and
sulfates were generated with the same method, nitrates are expected to exhibit a similar bimodal
size distribution, but this could not be experimentally confirmed since nitrogen is difficult to
detect with TXRF spectroscopy. Finally, <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ions appear in the micrometre
range (<inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>). It is reasonable to expect that <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ions also appear in this
size range; however, this could not be investigated by TXRF. By comparing the results of ion
chromatography with those of TXRF spectroscopy, there is no evidence of insoluble potassium.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2374">TXRF analysis of model aerosol 1 (see text and Table 2 for a discussion on all three model
aerosols).</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/1225/2021/amt-14-1225-2021-f04.png"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Table}?><label>Table 2</label><caption><p id="d1e2386">Chemical composition of the three model aerosols, mass concentration
(<inline-formula><mml:math id="M157" 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">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>) of each chemical constituent and environmental conditions during each
experiment.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="25pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="40pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="40pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="40pt"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="35pt"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="35pt"/>
     <oasis:colspec colnum="7" colname="col7" align="justify" colwidth="35pt"/>
     <oasis:colspec colnum="8" colname="col8" align="justify" colwidth="35pt"/>
     <oasis:colspec colnum="9" colname="col9" align="justify" colwidth="35pt"/>
     <oasis:colspec colnum="10" colname="col10" align="justify" colwidth="25pt"/>
     <oasis:colspec colnum="11" colname="col11" align="justify" colwidth="25pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Model aerosol</oasis:entry>
         <oasis:entry colname="col2">Sulfate <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M165" 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">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>)</oasis:entry>
         <oasis:entry colname="col3">Nitrate <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M166" 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">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>)</oasis:entry>
         <oasis:entry colname="col4">Ammonium (<inline-formula><mml:math id="M167" 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>)</oasis:entry>
         <oasis:entry colname="col5">Mineral <?xmltex \hack{\hfill\break}?>dust <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M168" 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">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>)</oasis:entry>
         <oasis:entry colname="col6">EC<inline-formula><mml:math id="M169" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M170" 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">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>)</oasis:entry>
         <oasis:entry colname="col7">OC<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M172" 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>)</oasis:entry>
         <oasis:entry colname="col8">OM <inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M174" 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">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>)</oasis:entry>
         <oasis:entry colname="col9">Other <inline-formula><mml:math id="M175" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M176" 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>)</oasis:entry>
         <oasis:entry colname="col10">T (<inline-formula><mml:math id="M177" 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>)</oasis:entry>
         <oasis:entry colname="col11">% RH</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><?xmltex \hack{\hfill}?> 1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.06</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.80</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="col5"><inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><?xmltex \hack{\hfill}?> 2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.03</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.73</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M192" 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></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mn mathvariant="normal">12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mn mathvariant="normal">70</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><?xmltex \hack{\hfill}?> 3</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.07</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="M199" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.75</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.55</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mn mathvariant="normal">21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mn mathvariant="normal">70</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2408"><inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> The reported uncertainties do not include uncertainties in the determination of the split point. <inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> In past studies with atmospheric aerosols, factors between 1.1 and 2.1 have been proposed to convert OC to OM mass (El-Zanan et al., 2005). The Micro Smog Chamber is known to yield moderately to strongly oxidised secondary organic matter (Bruns et al., 2015); thus a factor of <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> was assumed. <inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Mostly <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and to a lesser extent <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> from contamination of the aerosol generation system and, possibly, impurities in the mineral dust mixture. By meticulously cleaning the aerosol inlet with wet tissues, it is possible to keep the mass fraction of “other material” well below 10 %.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3187">PM composition (%) of the three model aerosols and environmental conditions during each experiment.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/1225/2021/amt-14-1225-2021-f05.png"/>

      </fig>

      <p id="d1e3196">The results of the chemical analysis of the model aerosols with ion chromatography, <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula> analysis
and TXRF spectroscopy are summarised in Table 2 and presented graphically in Fig. 5.</p>
</sec>
<?pagebreak page1232?><sec id="Ch1.S4">
  <label>4</label><title>Intercomparison of automated PM monitors with the reference gravimetric method</title>
      <p id="d1e3219">Three PM monitors, a TEOM 1405 (Thermo Scientific, USA), a DustTrak DRX 8533 (TSI Inc., USA) and a
Fidas Frog (Palas, Germany), were used in this study. The 1405 TEOM takes continuous direct mass
measurements of particulates using a tapered element oscillating microbalance and is considered to
be one of the most well established automated instruments for monitoring PM mass concentration at
air quality monitoring stations. The DustTrak DRX 8533 and the Fidas Frog aerosol monitors are,
unlike TEOM, portable and more cost efficient. These do not measure particle mass directly but
record instead the particle number concentration and size distribution using optical techniques,
from which they calculate the mass concentration using built-in algorithms.</p>
      <p id="d1e3222">The PM monitors were exposed to three different model aerosols, which were generated in the
laboratory with the facility described in Sect. 2. All three model aerosols were ambient-like
mixtures; i.e. they contained inorganic salts, elemental carbon (soot), secondary organic matter,
mineral dust and water. The aerosol composition was analysed with the methods described in
Sect. 3. The chemical composition of the model aerosols and the environmental conditions during each
experiment are listed in Table 2 and depicted schematically in Fig. 5. It can be seen that the mass
fractions of the different chemical constituents varied in the range <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> %–40 %
OM, <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %–15 % EC, <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> %–15 % nitrate, <inline-formula><mml:math id="M212" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 5 %–15 %
sulfate, <inline-formula><mml:math id="M213" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 2 %–3 % ammonium, <inline-formula><mml:math id="M214" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 10 %–20 % mineral dust and
<inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> %–20 % other materials.</p>
      <p id="d1e3287">The PM<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass concentration range (20–40 <inline-formula><mml:math id="M217" 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>) is typical for urban and
suburban regions across Europe. The chemical composition is representative of European aerosols
containing carbonaceous particles from fossil fuel combustion (rather than biomass burning);
secondary organic matter; mineral dust particles; and inorganic ions such as ammonium, sulfate,
nitrate and sodium. The temperature and relative humidity of the aerosols were controlled in the
range <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>–20 <inline-formula><mml:math id="M219" 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> and 50 %–70 %, respectively, to simulate
different ambient environmental conditions.</p>
      <p id="d1e3340">The results of the comparison between the automated PM monitors and the reference gravimetric method
are shown in Fig. 6. For the automated PM monitors, which measure continuously and with high time
resolution, each data point corresponds to the arithmetic average over a 30 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> measurement
period. The reference method delivers only one data point, i.e. the average PM<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass
concentration over the whole measurement period, which is illustrated in the graph as a straight
solid line and summarised in Table 2. It must be noted that the operating temperature of the TEOM
1405 monitor was set as low as possible, i.e. to 30 <inline-formula><mml:math id="M222" 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>, to minimise losses due to
(semi)volatile material (Meyer et al., 2000). For the DustTrak and Fidas Frog the default factory
settings were used.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3375">PM<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations reported by the TEOM 1405, DustTrak DRX 8533 and Fidas
Frog monitors compared to the results of the reference gravimetric method in the case of
<bold>(a)</bold> model aerosol 1, <bold>(b)</bold> model aerosol 2 and <bold>(c)</bold> model aerosol 3. In
Fig. 6a, the results of the DustTrak 8533 are not plotted because of technical issues during
measurement (see text for more details). The dashed lines designate the expanded uncertainties
(95 % confidence level) of the reference PM<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> value.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/1225/2021/amt-14-1225-2021-f06.png"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Table}?><label>Table 3</label><caption><p id="d1e3414">Average PM<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass concentration (<inline-formula><mml:math id="M226" 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>) reported by the TEOM 1405, Fidas Frog and DustTrak 8533 automated PM monitors and the reference gravimetric method.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center">Average PM<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass concentration (<inline-formula><mml:math id="M229" 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>) </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Model <?xmltex \hack{\hfill\break}?>aerosol</oasis:entry>
         <oasis:entry colname="col2">TEOM 1405</oasis:entry>
         <oasis:entry colname="col3">Fidas Frog</oasis:entry>
         <oasis:entry colname="col4">DustTrak 8533</oasis:entry>
         <oasis:entry colname="col5">Reference gravimetric method</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">41.6</oasis:entry>
         <oasis:entry colname="col3">38.8</oasis:entry>
         <oasis:entry colname="col4">–<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mn mathvariant="normal">43.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">25.3</oasis:entry>
         <oasis:entry colname="col3">21.0</oasis:entry>
         <oasis:entry colname="col4">44.0</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mn mathvariant="normal">29.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">19.2</oasis:entry>
         <oasis:entry colname="col3">15.0</oasis:entry>
         <oasis:entry colname="col4">25.6</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e3445"><inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula>The result was discarded because of a technical issue during measurement.</p></table-wrap-foot></table-wrap>

      <p id="d1e3626">Figure 6a presents the results of the TEOM 1405, Fidas Frog and the reference gravimetric method for
model aerosol 1. The results of the DustTrak 8533 are not reported because of a technical problem
(obstruction of the aerosol inlet) which compromised the measurement accuracy. The TEOM 1405 seems
to agree well with the reference method in the<?pagebreak page1233?> beginning but indicates a decrease of about 15 %
in mass concentration at the end of the 4 <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> measurement. Particle number concentration
measurements of the primary aerosols before and after the experiment revealed that the number
concentration of the fresh soot particles decreased by about 60 % during the measurement period,
whereas the number concentration of the dust, salt and aged soot particles remained largely
constant. The reason was a defect in the valve regulating the flow of the fresh soot particles into
the homogeniser. The decrease in the aerosol mass concentration recorded by the TEOM is therefore
real and can be attributed predominantly to the decreasing number and mass concentration of the
uncoated soot particles. Since the concentration of the model aerosol decreased during measurement,
the best way to assess the performance of the TEOM 1405 with respect to the reference method is to
calculate the 4 <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> average mass concentration. This amounts to 41.6 <inline-formula><mml:math id="M236" 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">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>
(see Table 3), only 3.7 % lower than the reference measurement (43.2 <inline-formula><mml:math id="M237" 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>).</p>
      <p id="d1e3683">The fresh soot particles consist mainly of EC and have a geometric mean mobility diameter of about
120 <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, i.e. below the cut-off limit of the Fidas Frog. Indeed, experiments with miniCAST
soot showed that the Fidas Frog and DustTrak 8533 failed to detect soot particles of this size. This
explains why the Fidas Frog reported a constant mass concentration over the whole measurement
period. In Table 3, it can be seen that the Fidas Frog reported an average PM<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass
concentration of 38.8 <inline-formula><mml:math id="M240" 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">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>, i.e. <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><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:mrow></mml:math></inline-formula> with respect to the
reference method. This deviation agrees well with the EC mass concentration of
5.0 <inline-formula><mml:math id="M242" 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> (Table 2), as determined with <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula> analysis. Note that the cut-off curve
of optical instruments depends on the refractive index of the particles: the Fidas Frog fails to
detect fresh soot particles below <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">200</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> but detects a considerable mass fraction
of the coated soot and salt particles despite their small size.</p>
      <p id="d1e3793">The results obtained with model aerosol 2 are displayed in Fig. 6b. Here, the concentration of the
aerosol remained constant throughout the measurement period. The Fidas Frog and TEOM 1405 monitors
underestimate the mass concentration by 29 % and 14 %, respectively, compared to the
reference method, while the DustTrak 8533 overestimates the mass concentration by 50 %. The
larger deviation between the TEOM 1405 and the reference method compared to model aerosol 1 results
from the winter-like environmental conditions; the temperature of model aerosol 2 was set to
12 <inline-formula><mml:math id="M245" 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>, the relative humidity was set to 70 % and the nitrate content was relatively high
(about 15 %) as shown in Table 2. Since the aerosol stream sampled by the TEOM 1405 is heated to
30 <inline-formula><mml:math id="M246" 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>, a fraction of the (semi)volatile components (e.g. nitrate, secondary organic
aerosol and water) evolves into the gas phase and is therefore not collected on the filter. These
results are in agreement with previous studies reporting that TEOM monitors set at a lower
temperature than the standard configuration (50 <inline-formula><mml:math id="M247" 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>) still could lose semivolatile
materials (Lee et al., 2005), especially in cooler months (Sofowote et al., 2014; Su et al., 2018).</p>
      <p id="d1e3833">The large positive deviation of the DustTrak 8533 by a factor of about 1.5 is not
surprising. Previous studies have found that different DustTrak models over-recorded PM values by a
factor of 1.2–3 (Chung et al., 2001; Grzyb and Lenart-Boron, 2019; Heal et al., 2000; Kingham et
al., 2006; Liu et al.,<?pagebreak page1234?> 2017; McNamara et al., 2011; Wallace et al., 2011; Yanosky et al., 2002)
depending on the aerosol properties. It has been suggested that the “over-estimation is a simple
calibration issue in which differences between the optical properties of the manufacturer's factory
calibration PM (Arizona Road Dust) and the PM under study explained the uniform relative errors
recorded” (Kingham et al., 2006). The results are nevertheless puzzling. Considering that the
device fails completely to detect fresh soot and underestimates the amount of aged soot, we would
have rather expected to observe a negative deviation with respect to the reference method. In any
case, the large range of the positive systematic bias (factor of 1.2–3) highlights the need for
source-specific calibration procedures against a reference method.</p>
      <p id="d1e3836">In the case of Fidas Frog, if the reading of the monitor (21.0 <inline-formula><mml:math id="M248" 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>; Table 3) is
corrected for the undetected mass of fresh soot (3.8 <inline-formula><mml:math id="M249" 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>; Table 2), then the
Fidas Frog still underestimates the mass concentration by <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> with respect to the
reference method.</p>
      <p id="d1e3890"><?xmltex \hack{\newpage}?>The results obtained in the case of model aerosol 3 are illustrated in Fig. 6c. With an average
PM<inline-formula><mml:math id="M251" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass concentration of 19.2 <inline-formula><mml:math id="M252" 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>, the TEOM 1405 exhibits an
excellent agreement with the reference method (19.3 <inline-formula><mml:math id="M253" 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>; see Table 2). The
DustTrak 8533 overestimates the mass concentration by approx. 33 % and thus performs slightly
better than in the case of model aerosol 2. Fidas Frog underestimates the mass concentration by
about 23 %, or <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> after correction for the undetected mass of fresh soot, in
agreement with the findings of the experiment with model aerosol 2. As mentioned above, PM monitors
based on light scattering, such as the Fidas Frog and the DustTrak, measure particle number
concentration and convert this into mass concentration by using a size-dependent particle density
function. This function is integrated into the software of the instrument. Deviations may occur if
the built-in functions differ substantially from the real density function of the
aerosol. Hygroscopic growth of aerosol particles can also lead to considerable measurement artefacts
especially when low-cost PM sensors are used (Di Antonio et al., 2018; Crilley et al., 2018). More
experiments with ambient-like model aerosols under low and high relative humidity would be needed to
define a comprehensive set of calibration factors for these instruments.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e3963">In this study, we present the first steps towards the generation of ambient-like model aerosols in
the laboratory. A custom-made facility (PALMA) for the stable and reproducible generation of such
model aerosols was developed, which presents the following advantages:
<list list-type="bullet"><list-item>
      <p id="d1e3968">The model aerosols are complex, consisting of elemental carbon (fresh soot), soot coated with
SOA (aged soot), inorganic ions (such as ammonium, sulfate and nitrate) and mineral dust
particles.</p></list-item><list-item>
      <p id="d1e3972">The aerosol mixture can therefore have a controlled amount of semi-volatile and hygroscopic
material.</p></list-item><list-item>
      <p id="d1e3976">The total PM mass concentration of the model aerosols can be adjusted in a range from a
few micrograms per cubic metre up to about 500 <inline-formula><mml:math id="M255" 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> and remains stable over several
hours.</p></list-item><list-item>
      <p id="d1e3999">The percentage fraction of each PM constituent can be tuned to simulate different urban, suburban or
rural aerosols.</p></list-item><list-item>
      <p id="d1e4003">The size distribution (geometric mean and width of accumulation and coarse mode) can be
adjusted by tuning the size distribution of the primary aerosols.</p></list-item><list-item>
      <p id="d1e4007">The aerosol temperature and relative humidity can be adjusted to simulate winter-like or
summer-like environmental conditions (10–40 <inline-formula><mml:math id="M256" 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>, 5 %–90 % RH).</p></list-item><list-item>
      <p id="d1e4023">A spatial aerosol homogeneity of 2.6 % (<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) in number concentration can be attained in
the mixing chamber, a parameter not evaluated so rigorously, if at all, in previous chamber
studies (Hogrefe et al., 2004; Liu et al., 2017; Papapostolou et al., 2017; Schwab et al., 2004;
Zhu et al., 2007).</p></list-item><list-item>
      <p id="d1e4039">The isokinetic sampling system is highly adaptable and can accommodate instruments with flows
up to at least 40 <inline-formula><mml:math id="M258" 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>.</p></list-item><list-item>
      <p id="d1e4060">The design is much more compact compared to other mixing chambers described in the literature
(Hogrefe et al., 2004; Horender et al., 2019; Papapostolou et al., 2017; Schwab et al., 2004; Zhu
et al., 2007) and can therefore easily fit into a typical laboratory.</p></list-item></list></p>
      <p id="d1e4063">As a proof of concept, three different automated PM monitors, the TEOM 1405 (Thermo Scientific,
USA), the DustTrak DRX 8533 (TSI Inc., USA) and the Fidas Frog (Palas, Germany), were compared with
the reference gravimetric method under three different environmental scenarios. The TEOM 1405,
operated at 30 <inline-formula><mml:math id="M259" 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>, agreed very well with the reference gravimetric method in the
case of summertime aerosols (21 <inline-formula><mml:math id="M260" 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>) but showed a negative deviation in
PM<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass concentration of <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> when the model aerosol was conditioned at
12 <inline-formula><mml:math id="M263" 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> due to losses of semi-volatile material. The Fidas Frog underestimated the
PM<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass concentration by <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> %–30 %, whereas the DustTrak 8533
overestimated the PM<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass concentration by <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> %–50 % depending on the
aerosol chemical composition and environmental conditions.</p>
      <p id="d1e4163">Currently, one limitation of the facility is that the model aerosols cannot be conditioned to
temperatures lower than 10 <inline-formula><mml:math id="M268" 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>, but this could be improved by thermally insulating the
homogeniser (e.g. with black nitrile foam insulation). Moreover, the composition of the model
aerosols could be further refined by adding more components, such as metallic particles with the use
of a spark-discharge generator, bioaerosols (e.g. with a Sparging Liquid Aerosol Generator – SLAG, CH
Technologies, USA) and particles from biomass burning. This last step could pose challenges since
the mass output is usually not very stable over time and the physicochemical properties of the
aerosol depend heavily on the combustion material, as well as the stove design.</p>
      <p id="d1e4178">To conclude, the facility presented in this study can be used to generate ambient-like model
aerosols for quality assurance testing, intercomparisons of different instruments, and performance
evaluation and calibration with respect to PM mass concentration. The same facility could also be used
for other PM measurements such as number concentration and absorption properties (e.g. those related to
black carbon). The aerosol facility also provides excellent opportunities for basic aerosol research
and aerosol health-related studies.</p>
</sec>

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

      <p id="d1e4185">All data presented in the paper are available for research purposes on request to the authors of the paper.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4191">SH and KV designed, validated and operated the experimental facility; coordinated the intercomparison; and prepared the paper with contributions from all other authors. KA designed the isokinetic sampling probes. CCA assisted during the preparation of the
intercomparison and DMK performed <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula> analysis.
StS performed TXRF analysis.
PQ helped design the study, TOMS weighed the filter samples and KW performed ion chromatography analysis.
FGL advised on aerosol generation.
KD performed high-resolution measurements with a reference optical particle counter.
SNS operated the DustTrak DRX during the intercomparison.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4209">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e4215">The opinions expressed and arguments employed herein do not necessarily reflect the official views of the Swiss Government.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4221">Stefan Horender, Kevin Auderset and Konstantina Vasilatou would like to thank their colleagues at the mechanical and electronic workshop (METAS) for valuable technical assistance throughout this study.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4226">This research has been supported by the European Metrology Programme for Innovation and Research (EMPIR) (grant no. 16ENV07 Aeromet) and the Swiss State Secretariat for Education, Research and Innovation (SERI) (grant no. 17.00112). EMPIR is jointly funded by the
EMPIR participating countries within EURAMET and the European Union.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4232">This paper was edited by Francis Pope and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Facility for production of ambient-like model aerosols (PALMA) in the laboratory: application in the intercomparison of automated PM monitors with the reference gravimetric method</article-title-html>
<abstract-html><p>A new facility has been developed which allows for a stable and reproducible production of
ambient-like model aerosols (PALMA) in the laboratory. The set-up consists of multiple aerosol
generators, a custom-made flow tube homogeniser, isokinetic sampling probes, and a system to
control aerosol temperature and humidity. Model aerosols containing elemental carbon, secondary
organic matter from the ozonolysis of <i>α</i>-pinene, inorganic salts such as ammonium sulfate
and ammonium nitrate, mineral dust particles, and water were generated under different environmental
conditions and at different number and mass concentrations. The aerosol physical and chemical
properties were characterised with an array of experimental methods, including scanning mobility
particle sizing, ion chromatography, total reflection X-ray fluorescence spectroscopy and
thermo-optical analysis. The facility is very versatile and can find applications in the
calibration and performance characterisation of aerosol instruments monitoring ambient air. In
this study, we performed, as proof of concept, an intercomparison of three different commercial
PM (particulate matter) monitors (TEOM 1405, DustTrak DRX 8533 and Fidas Frog) with the
gravimetric reference method under three simulated environmental scenarios. The results are
presented and compared to previous field studies. We believe that the laboratory-based method for
simulating ambient aerosols presented here could provide in the future a useful alternative to
time-consuming and expensive field campaigns, which are often required for instrument
certification and calibration.</p></abstract-html>
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