<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher">ACPD</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACPD</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7375</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acpd-10-1005-2010</article-id>
<title-group>
<article-title>Technical Note: Hygroscopicity distribution concept for measurement data analysis and modeling of aerosol particle hygroscopicity and CCN activity</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Su</surname>
<given-names>H.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Rose</surname>
<given-names>D.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Cheng</surname>
<given-names>Y. F.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Gunthe</surname>
<given-names>S. S.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Massling</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Stock</surname>
<given-names>M.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Wiedensohler</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Andreae</surname>
<given-names>M. O.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Pöschl</surname>
<given-names>U.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Max Planck Institute for Chemistry, 55020 Mainz, Germany</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Leibniz Institute for Tropospheric Research, 04318 Leipzig, Germany</addr-line>
</aff>
<pub-date pub-type="epub">
<day>18</day>
<month>01</month>
<year>2010</year>
</pub-date>
<volume>10</volume>
<issue>1</issue>
<fpage>1005</fpage>
<lpage>1034</lpage>
<permissions>
<license xlink:type="simple">
<license-p>This is an open-access article ditributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri xlink:href="http://www.atmos-chem-phys-discuss.net/10/1005/2010/acpd-10-1005-2010.html">This article is available from http://www.atmos-chem-phys-discuss.net/10/1005/2010/acpd-10-1005-2010.html</self-uri>
<self-uri xlink:href="http://www.atmos-chem-phys-discuss.net/10/1005/2010/acpd-10-1005-2010.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys-discuss.net/10/1005/2010/acpd-10-1005-2010.pdf</self-uri>
<abstract>
<p>This paper presents a new concept of hygroscopicity
      distribution for the analysis and modeling of aerosol particle
      hygroscopicity and Cloud Condensation Nucleus (CCN)
      activity. The cumulative particle hygroscopicity distribution
      function &lt;i&gt;N&lt;/i&gt;(&amp;kappa;) is defined as the number concentration of
      particles with an effective hygroscopicity parameter,
      κ, smaller than the distribution argument
      κ. From Hygroscopicity Tandem Differential Mobility
      Analyzer (HTDMA) measurement data, &lt;i&gt;N&lt;/i&gt;(&amp;kappa;) can be directly
      derived by solving the κ-Köhler model
      equation. Similarly, measured CCN efficiency spectra
      (activation curves) can also be converted into &lt;i&gt;N&lt;/i&gt;(&amp;kappa;),
      because the CCN measured at a fixed particle diameter and
      supersaturation (&lt;i&gt;S&lt;/i&gt;) can be regarded as those particles with
      κ larger than a certain threshold value. Unlike studies
      calculating only one hygroscopicity parameter value from a CCN
      efficiency spectrum, the concept of &lt;i&gt;N&lt;/i&gt;(&amp;kappa;) makes use of
      the information contained in each point of the spectrum. Model
      aerosols are used to explain the concept, and exemplary
      applications are shown with HTDMA and CCN field measurement
      data.</p>
</abstract>
<counts><page-count count="30"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple"> Aitchison,~J. and Brown,~J A C.: The lognormal distribution function, Cambridge Univ. Press, Cambridge, UK, 1957. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Andreae,~M O. and Rosenfeld,~D.: Aerosol-cloud-precipitation interactions. Part 1. The nature and sources of cloud-active aerosols, Earth-Sci. Rev., 89, 13–41, 2008. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Buzorius,~G., Zelenyuk,~A., Brechtel,~F., and Imre,~D.: Simultaneous determination of individual ambient particle size, hygroscopicity and composition, Geophys. Res. Lett., 29(20), \doi10.1029/2001gl014221, 2002. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Cheng,~Y F., Berghof,~M., Garland,~R M., Wiedensohler,~A., Wehner,~B., Müller,~T., Su,~H., Zhang,~Y H., Achtert,~P., Nowak,~A., Pöschl,~U., Zhu,~T., Hu,~M., and Zeng,~L M.: Influence of soot mixing state on aerosol light absorption and single scattering albedo during air mass aging at a~polluted regional site in northeastern china,~J. Geophys. Res., 114, D00G10, \doi10.1029/2008jd010883, 2009. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Clegg, S. L., Kleeman, M. J., Griffin, R. J., and Seinfeld, J. H.: Effects of uncertainties in the thermodynamic properties of aerosol components in an air quality model - Part~1: Treatment of inorganic electrolytes and organic compounds in the condensed phase, Atmos. Chem. Phys., 8, 1057–1085, 2008. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Dusek,~U., Frank,~G P., Hildebrandt,~L., Curtius,~J., Schneider,~J., Walter,~S., Chand,~D., Drewnick,~F., Hings,~S., Jung,~D., Borrmann,~S., and Andreae,~M O.: Size matters more than chemistry for cloud-nucleating ability of aerosol particles, Science, 312, 1375–1378, \doi10.1126/science.1125261, 2006. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Frank, G. P., Dusek, U., and Andreae, M. O.: Technical note: A method for measuring size-resolved CCN in the atmosphere, Atmos. Chem. Phys. Discuss., 6, 4879–4895, 2006, </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Garland, R. M., Yang, H., Schmid, O., Rose, D., Nowak, A., Achtert, P., Wiedensohler, A., Takegawa, N., Kita, K., Miyazaki, Y., Kondo, Y., Hu, M., Shao, M., Zeng, L. M., Zhang, Y. H., Andreae, M. O., and Pöschl, U.: Aerosol optical properties in a rural environment near the mega-city Guangzhou, China: implications for regional air pollution, radiative forcing and remote sensing, Atmos. Chem. Phys., 8, 5161–5186, 2008. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Garland,~R M., Schmid,~O., Nowak,~A., Achtert,~P., Wiedensohler,~A., Gunthe,~S S., Takegawa,~N., Kita,~K., Kondo,~Y., Hu,~M., Shao,~M., Zeng,~L M., Zhu,~T., Andreae,~M O., and Pöschl,~U.: Aerosol optical properties observed during campaign of air quality research in Beijing 2006 (carebeijing-2006): characteristic differences between the inflow and outflow of Beijing city air, J. Geophys. Res., 114, D00G04, \doi10.1029/2008jd010780, 2009. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Gunthe, S. S., King, S. M., Rose, D., Chen, Q., Roldin, P., Farmer, D. K., Jimenez, J. L., Artaxo, P., Andreae, M. O., Martin, S. T., and Pöschl, U.: Cloud condensation nuclei in pristine tropical rainforest air of Amazonia: size-resolved measurements and modeling of atmospheric aerosol composition and CCN activity, Atmos. Chem. Phys., 9, 7551–7575, 2009. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Köhler,~H.: The nucleus in the growth of hygroscopic droplets, T. Faraday Soc., 32, 1152–1161, 1936. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Krejci, R., Ström, J., de Reus, M., and Sahle, W.: Single particle analysis of the accumulation mode aerosol over the northeast Amazonian tropical rain forest, Surinam, South America, Atmos. Chem. Phys., 5, 3331–3344, 2005. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Massling,~A., Stock,~M., Wehner,~B., Wu,~Z J., Hu,~M., Brügemann,~E., Gnauk,~T., Herrmann,~H., and Wiedensohler,~A.: Size segregated water uptake of the urban submicrometer aerosol in Beijing, Atmos. Environ., 43, 1578–1589, 2009. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> McDonald,~J E.: Erroneous cloud-physics applications of raoult law,~J. Meteorol., 10, 68–78, 1953. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> McMurry,~P H., Litchy,~M., Huang,~P.-F., Cai,~X., Turpin,~B J., Dick,~W D., and Hanson,~A.: Elemental composition and morphology of individual particles separated by size and \mboxhygroscopicity with the tdma, Atmos. Environ., 30, 101–108, 1996. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Mikhailov, E., Vlasenko, S., Niessner, R., and Pöschl, U.: Interaction of aerosol particles \mboxcomposed of protein and saltswith water vapor: hygroscopic growth and microstructural rearrangement, Atmos. Chem. Phys., 4, 323–350, 2004. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Murphy,~D M., Cziczo,~D J., Froyd,~K D., Hudson,~P K., Matthew,~B M., Middlebrook,~A M., Peltier,~R E., Sullivan,~A., Thomson,~D S., and Weber,~R J.: Single-particle mass spectrometry of tropospheric aerosol particles,~J. Geophys. Res., 111, D23S32, \doi10.1029/2006jd007340, 2006. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Niedermeier, D., Wex, H., Voigtländer, J., Stratmann, F., Brüggemann, E., Kiselev, A., Henk, H., and Heintzenberg, J.: LACIS-measurements and parameterization of sea-salt particle hygroscopic growth and activation, Atmos. Chem. Phys., 8, 579–590, 2008. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Orsini,~D A., Wiedensohler,~A., and Covert,~D S.: Volatility measurements of atmospheric aerosols in the mid and south pacific using a~volatility-tandem-differential-mobility-analyzer, J. Aerosol Sci., 27, S53–S54, 1996. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Pöschl,~U., Rose,~D., and Andreae,~M O.: Climatologies of cloudrelated aerosols – part~2: Particle hygroscopicity and cloud condensation nuclei activity, in: Clouds in the perturbed climate system, edited by: Heintzenberg,~J. and Charlson,~R J., MIT Press, Cambridge, 2009. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Petters, M. D. and Kreidenweis, S. M.: A single parameter representation of hygroscopic growth and cloud condensation nucleus activity, Atmos. Chem. Phys., 7, 1961–1971, 2007. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Petters,~M D., Carrico,~C M., Kreidenweis,~S M., Prenni,~A J., DeMott,~P J., Collett,~J L., Jr., and Moosmüller,~H.: Cloud condensation nucleation activity of biomass burning aerosol, J. Geophys. Res., 114, D22205, \doi10.1029/2009jd012353, 2009a. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Petters, M. D., Wex, H., Carrico, C. M., Hallbauer, E., Massling, A., McMeeking, G. R., Poulain, L., Wu, Z., Kreidenweis, S. M., and Stratmann, F.: Towards closing the gap between hygroscopic growth and activation for secondary organic aerosol - Part~2: Theoretical approaches, Atmos. Chem. Phys., 9, 3999–4009, 2009. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Pruppacher,~H R. and Klett,~J D.: Microphysics of clouds and precipitation, Kluwer Academic Publishers, Dordrecht, 1997. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Reutter, P., Su, H., Trentmann, J., Simmel, M., Rose, D., Gunthe, S. S., Wernli, H., Andreae, M. O., and Pöschl, U.: Aerosol- and updraft-limited regimes of cloud droplet formation: influence of particle number, size and hygroscopicity on the activation of cloud condensation nuclei (CCN), Atmos. Chem. Phys., 9, 7067–7080, 2009. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Rissler, J., Vestin, A., Swietlicki, E., Fisch, G., Zhou, J., Artaxo, P., and Andreae, M. O.: Size distribution and hygroscopic properties of aerosol particles from dry-season biomass burning in Amazonia, Atmos. Chem. Phys., 6, 471–491, 2006. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Robinson,~R A. and Stokes,~R H.: Electrolyte solutions, revised, Butterworths Scientific Pub, London, 1959. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Rose, D., Gunthe, S. S., Mikhailov, E., Frank, G. P., Dusek, U., Andreae, M. O., and Pöschl, U.: Calibration and measurement uncertainties of a continuous-flow cloud condensation nuclei counter (DMT-CCNC): CCN activation of ammonium sulfate and sodium chloride aerosol particles in theory and experiment, Atmos. Chem. Phys., 8, 1153–1179, 2008a. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Rose, D., Nowak, A., Achtert, P., Wiedensohler, A., Hu, M., Shao, M., Zhang, Y., Andreae, M. O., and Pöschl, U.: Cloud condensation nuclei in polluted air and biomass burning smoke near the mega-city Guangzhou, China - Part~1: Size-resolved measurements and implications for the modeling of aerosol particle hygroscopicity and CCN activity, Atmos. Chem. Phys. Discuss., 8, 17343–17392, 2008b. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Schwarz,~J P., Gao,~R S., Fahey,~D W., Thomson,~D S., Watts,~L A., Wilson,~J C., Reeves,~J M., Darbeheshti,~M., Baumgardner,~D G., Kok,~G L., Chung,~S H., Schulz,~M., Hendricks,~J., Lauer,~A., Kärcher,~B., Slowik,~J G., Rosenlof,~K H., Thompson,~T L., Langford,~A O., Loewenstein,~M., and Aikin,~K C.: Single-particle measurements of midlatitude black carbon and light-scattering aerosols from the boundary layer to the lower stratosphere, J. Geophys. Res., 111, D16207, \doi10.1029/2006jd007076, 2006. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Seinfeld,~J H. and Pandis,~S N.: Atmospheric chemistry and physics, from air pollution to climate change, John Wiley, New York, 362~p., 2006. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Sullivan, R. C., Moore, M. J. K., Petters, M. D., Kreidenweis, S. M., Roberts, G. C., and Prather, K. A.: Effect of chemical mixing state on the hygroscopicity and cloud nucleation properties of calcium mineral dust particles, Atmos. Chem. Phys., 9, 3303–3316, 2009. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Svenningsson, B., Rissler, J., Swietlicki, E., Mircea, M., Bilde, M., Facchini, M. C., Decesari, S., Fuzzi, S., Zhou, J., Mønster, J., and Rosenørn, T.: Hygroscopic growth and critical supersaturations for mixed aerosol particles of inorganic and organic compounds of atmospheric relevance, Atmos. Chem. Phys., 6, 1937–1952, 2006. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Vestin,~A., Rissler,~J., Swietlicki,~E., Frank,~G P., and Andreae,~M O.: Cloud-nucleating properties of the amazonian biomass burning aerosol: Cloud condensation nuclei measurements and modeling, J. Geophys. Res., 112, D14201, \doi10.1029/2006jd008104, 2007.  </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Wehner,~B., Berghof,~M., Cheng,~Y F., Achtert,~P., Birmili,~W., Nowak,~A., Wiedensohler,~A., Garland,~R M., Pöschl,~U., Hu,~M., and Zhu,~T.: Mixing state of nonvolatile aerosol particle fractions and comparison with light absorption in the polluted Beijing region,~J. Geophys. Res., 114, D00G17, \doi10.1029/2008jd010923, 2009. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Wex,~H., Hennig,~T., Salma,~I., Ocskay,~R., Kiselev,~A., Henning,~S., Massling,~A., Wiedensohler,~A., and Stratmann,~F.: Hygroscopic growth and measured and modeled critical super-saturations of an atmospheric hulis sample, Geophys. Res. Lett., 34, L02818, \doi10.1029/2006gl028260, 2007. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Wex, H., Petters, M. D., Carrico, C. M., Hallbauer, E., Massling, A., McMeeking, G. R., Poulain, L., Wu, Z., Kreidenweis, S. M., and Stratmann, F.: Towards closing the gap between hygroscopic growth and activation for secondary organic aerosol: Part~1 - Evidence from measurements, Atmos. Chem. Phys., 9, 3987–3997, 2009. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Wiedensohler,~A., Cheng,~Y F., Nowak,~A., Wehner,~B., Achtert,~P., Berghof,~M., Birmili,~W., Wu,~Z J., Hu,~M., Zhu,~T., Takegawa,~N., Kita,~K., Kondo,~Y., Lou,~S R., Hofzumahaus,~A., Holland,~F., Wahner,~A., Gunthe,~S S., Rose,~D., Su,~H., and Pöschl,~U.: Rapid aerosol particle growth and increase of cloud condensation nucleus activity by secondary aerosol formation and condensation: A~case study for regional air pollution in Northeastern China, J. Geophys. Res., 114, D00G08, \doi10.1029/2008jd010884, 2009. </mixed-citation>
</ref>
</ref-list>
</back>
</article>