<?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">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>GÃ¶ttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acp-10-7795-2010</article-id>
<title-group>
<article-title>Computation of liquid-liquid equilibria and phase stabilities: implications for RH-dependent gas/particle partitioning of organic-inorganic aerosols</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zuend</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Marcolli</surname>
<given-names>C.</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>Peter</surname>
<given-names>T.</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>Seinfeld</surname>
<given-names>J. H.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Department of Chemical Engineering, California Institute of Technology, 91125, Pasadena, California, USA</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Institute for Atmospheric and Climate Science, ETH Zurich, 8092, Zurich, Switzerland</addr-line>
</aff>
<pub-date pub-type="epub">
<day>24</day>
<month>08</month>
<year>2010</year>
</pub-date>
<volume>10</volume>
<issue>16</issue>
<fpage>7795</fpage>
<lpage>7820</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.net/10/7795/2010/acp-10-7795-2010.html">This article is available from http://www.atmos-chem-phys.net/10/7795/2010/acp-10-7795-2010.html</self-uri>
<self-uri xlink:href="http://www.atmos-chem-phys.net/10/7795/2010/acp-10-7795-2010.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys.net/10/7795/2010/acp-10-7795-2010.pdf</self-uri>
<abstract>
<p>Semivolatile organic and inorganic aerosol species
partition between the gas and aerosol particle phases to maintain
thermodynamic equilibrium. Liquid-liquid phase separation into an
organic-rich and an aqueous electrolyte phase can occur in the aerosol as a
result of the salting-out effect. Such liquid-liquid equilibria (LLE) affect
the gas/particle partitioning of the different semivolatile compounds and
might significantly alter both particle mass and composition as compared to a
one-phase particle. We present a new liquid-liquid equilibrium and
gas/particle partitioning model, using as a basis the group-contribution
model AIOMFAC (Zuend et al., 2008). This model allows the reliable
computation of the liquid-liquid coexistence curve (binodal), corresponding
tie-lines, the limit of stability/metastability (spinodal), and further
thermodynamic properties of multicomponent systems. Calculations for ternary and
multicomponent alcohol/polyol-water-salt mixtures suggest that LLE are a
prevalent feature of organic-inorganic aerosol systems. A six-component
polyol-water-ammonium sulphate system is used to simulate effects of
relative humidity (RH) and the presence of liquid-liquid phase separation on
the gas/particle partitioning. RH, salt concentration, and hydrophilicity
(water-solubility) are identified as key features in defining the region of a
miscibility gap and govern the extent to which compound partitioning is
affected by changes in RH. The model predicts that liquid-liquid phase
separation can lead to either an increase or decrease in total particulate
mass, depending on the overall composition of a system and the particle water
content, which is related to the hydrophilicity of the different organic and
inorganic compounds. Neglecting non-ideality and liquid-liquid phase
separations by assuming an ideal mixture leads to an overestimation of the
total particulate mass by up to 30% for the composition and RH range
considered in the six-component system simulation. For simplified
partitioning parametrizations, we suggest a modified definition of the
effective saturation concentration, &lt;i&gt;C&lt;/i&gt;&lt;sub&gt;j&lt;/sub&gt;&lt;sup&gt;*&lt;/sup&gt;, by including water and
other inorganics in the absorbing phase. Such a &lt;i&gt;C&lt;/i&gt;&lt;sub&gt;j&lt;/sub&gt;&lt;sup&gt;*&lt;/sup&gt; definition
reduces the RH-dependency of the gas/particle partitioning of semivolatile
organics in organic-inorganic aerosols by an order of magnitude as compared
to the currently accepted definition, which considers the organic species
only.</p>
</abstract>
<counts><page-count count="26"/></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"> Amundson, N. R., Caboussat, A., He, J. W., Martynenko, A. V., Landry, C., Tong, C., and Seinfeld, J. H.: A new atmospheric aerosol phase equilibrium model (UHAERO): organic systems, Atmos. Chem. Phys., 7, 4675â€“4698, doi:10.5194/acp-7-4675-2007, 2007a. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Amundson, N R., Caboussat, A., He, J W., Martynenko, A V., and Seinfeld, J H.: A phase equilibrium model for atmospheric aerosols containing inorganic electrolytes and organic compounds (UHAERO), with application to dicarboxylic acids, J. Geophys. Res. Atmos., 112, D24S13, \doi10.1029/2007JD008424, 2007b. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Apelblat, A. and Korin, E.: The vapour pressures of saturated aqueous solutions of sodium chloride, sodium bromide, sodium nitrate, sodium nitrite, potassium iodate, and rubidium chloride at temperatures from 227 K to 323 K, J. Chem. Thermodyn., 30, 59â€“71, 1998. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Aumont, B., Szopa, S., and Madronich, S.: Modelling the evolution of organic carbon during its gas-phase tropospheric oxidation: development of an explicit model based on a self generating approach, Atmos. Chem. Phys., 5, 2497â€“2517, doi:10.5194/acp-5-2497-2005, 2005. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Barley, M., Topping, D. O., Jenkin, M. E., and McFiggans, G.: Sensitivities of the absorptive partitioning model of secondary organic aerosol formation to the inclusion of water, Atmos. Chem. Phys., 9, 2919â€“2932, doi:10.5194/acp-9-2919-2009, 2009. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Barley, M. H. and McFiggans, G.: The critical assessment of vapour pressure estimation methods for use in modelling the formation of atmospheric organic aerosol, Atmos. Chem. Phys., 10, 749â€“767, doi:10.5194/acp-10-749-2010, 2010. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Barsanti, K C. and Pankow, J F.: Thermodynamics of the formation of atmospheric organic particulate matter by accretion reactionsâ€“Part 1: aldehydes and ketones, Atmos. Environ., 38, 4371â€“4382, \doi10.1016/j.atmosenv.2004.03.035, prefixhttp://www.sciencedirect.com/science/article/B6VH3-4CP67MX-1/% 2/621c9759ec9aac489a28338485deaef4, 2004. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Bowman, F M. and Melton, J A.: Effect of activity coefficient models on predictions of secondary organic aerosol partitioning, J. Aerosol Sci., 35, 1415â€“1438, \doi10.1016/j.jaerosci.2004.07.001, 2004. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Brenner, D K., Anderson, E W., Lynn, S., and Prausnitz, J M.: Liquid-liquid equilibria for saturated aqueous-solutions of sodium-sulfate plus 1-propanol, 2-propanol, or 2-methylpropan-2-ol, J. Chem. Eng. Data, 37, 419â€“422, 1992. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Cahn, J W.: Phase Separation by Spinodal Decomposition in Isotropic Systems, J. Chem. Phys., 42, 93â€“99, \doi10.1063/1.1695731, 1965. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Camredon, M. and Aumont, B.: Assessment of vapor pressure estimation methods for secondary organic aerosol modeling, Atmos. Environ., 40, 2105â€“2116, \doi10.1016/j.atmosenv.2005.11.051, prefixhttp://www.sciencedirect.com/science/article/B6VH3-4J32HGG-1/% 2/571a0401112ea781fedff7b196911ef5, 2006. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Chan, M N. and Chan, C K.: Hygroscopic Properties of Two Model Humic-like Substances and Their Mixtures with Inorganics of Atmospheric Importance, Environ. Sci. Technol., 37, 5109â€“5115, \doi10.1021/es034272o, 2003. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Chang, E I. and Pankow, J F.: Prediction of activity coefficients in liquid aerosol particles containing organic compounds, dissolved inorganic salts, and water â€“ Part 2: Consideration of phase separation effects by an X-UNIFAC model, Atmos. Environ., 40, 6422â€“6436, \doi10.1016/j.atmosenv.2006.04.031, 2006. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Chang, E. I. and Pankow, J. F.: Organic particulate matter formation at varying relative humidity using surrogate secondary and primary organic compounds with activity corrections in the condensed phase obtained using a method based on the Wilson equation, Atmos. Chem. Phys., 10, 5475â€“5490, doi:10.5194/acp-10-5475-2010, 2010. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Choi, M Y. and Chan, C K.: The Effects of Organic Species on the Hygroscopic Behaviors of Inorganic Aerosols, Environ. Sci. Technol., 36, 2422â€“2428, \doi10.1021/es0113293, 2002. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Ciobanu, V G., Marcolli, C., Krieger, U K., Weers, U., and Peter, T.: Liquid-Liquid Phase Separation in Mixed Organic/Inorganic Aerosol Particles, J. Phys. Chem. A, 113, 10966â€“10978, \doi10.1021/jp905054d, 2009. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Clegg, S L., Seinfeld, J H., and Brimblecombe, P.: Thermodynamic modelling of aqueous aerosols containing electrolytes and dissolved organic compounds, J. Aerosol. Sci., 32, 713â€“738, 2001. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</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 â€“ Part 1: Treatment of inorganic electrolytes and organic compounds in the condensed phase, Atmos. Chem. Phys., 8, 1057â€“1085, doi:10.5194/acp-8-1057-2008, 2008. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Cocker, D R., Clegg, S L., Flagan, R C., and Seinfeld, J H.: The effect of water on gas-particle partitioning of secondary organic aerosol. Part I: Î±-pinene/ozone system, Atmos. Environ., 35, 6049â€“6072, 2001. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> De~Santis, R., Marrelli, L., and Muscetta, P N.: Liquid-liquid equilibria in water-aliphatic alcohol systems in the presence of sodium chloride, Chem. Eng. J., 11, 207â€“214, 1976. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Debenedetti, P G.: Metastable Liquids. Concepts and Principles, Princeton Univ. Press, Princeton, NJ, USA, 1996. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Decesari, S., Facchini, M C., Fuzzi, S., and Tagliavini, E.: Characterization of water-soluble organic compounds in atmospheric aerosol: A new approach, J. Geophys. Res. Atmos., 105, 1481â€“1489, \doi10.1029/1999JD900950, 2000. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Decesari, S., Fuzzi, S., Facchini, M. C., Mircea, M., Emblico, L., Cavalli, F., Maenhaut, W., Chi, X., Schkolnik, G., Falkovich, A., Rudich, Y., Claeys, M., Pashynska, V., Vas, G., Kourtchev, I., Vermeylen, R., Hoffer, A., Andreae, M. O., Tagliavini, E., Moretti, F., and Artaxo, P.: Characterization of the organic composition of aerosols from RondÃ´nia, Brazil, during the LBA-SMOCC 2002 experiment and its representation through model compounds, Atmos. Chem. Phys., 6, 375â€“402, doi:10.5194/acp-6-375-2006, 2006. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Denbigh, K G.: The principles of chemical equilibrium, Cambridge University Press, Cambridge, UK, 4th edn., 1981. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Donahue, N M., Robinson, A L., Stanier, C O., and Pandis, S N.: Coupled Partitioning, Dilution, and Chemical Aging of Semivolatile Organics, Environ. Sci. Technol., 40, 2635â€“2643, \doi10.1021/es052297c, 2006. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Dykyj, J., Svoboda, J., Wilhoit, R C., Frenkel, M., and Hall, K R.: Organic Compounds, C1 to C57. Part 1., in: Landolt-BÃ¶rnstein â€“ Group IV Physical Chemistry Numerical Data and Functional Relationships in Science and Technology, edited by: Hall, K R., vol. 20B: Vapor Pressure and Antoine Constants for Oxygen Containing Organic Compounds, 14â€“110, SpringerMaterials - The Landolt-BÃ¶rnstein Database, \doi10.1007/10688583_3, prefixhttp://www.springermaterials.com, 2000. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Erdakos, G B. and Pankow, J F.: Gas/particle partitioning of neutral and ionizing compounds to single- and multi-phase aerosol particles. 2. Phase separation in liquid particulate matter containing both polar and low-polarity organic compounds, Atmos. Environ., 38, 1005â€“1013, \doi10.1016/j.atmosenv.2003.10.038, 2004. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Filobelo, L F., Galkin, O., and Vekilov, P G.: Spinodal for the solution-to-crystal phase transformation, J. Chem. Phys., 123, ISSN: 0021-9606, doi:10.1063/1.1943413, 2005. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Fredenslund, A., Jones, R L., and Prausnitz, J M.: Group-Contribution Estimation of Activity Coefficients in Nonideal Liquid Mixtures, AIChE J., 21, 1086â€“1099, 1975. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Gaffen, D J., Robock, A., and Elliott, W P.: Annual Cycles of Tropospheric Water Vapor, J. Geophys. Res., 97, 18185â€“18193, 1992. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Gibbs, J W.: The collected works of J. Willard Gibbs. Volume I thermodynamics, Longmans, Green and Co., New York, NY, USA, 1928. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Goldstein, A H. and Galbally, I E.: Known and Unexplored Organic Constituents in the Earth&apos;s Atmosphere, Environ. Sci. Technol., 41, 1514â€“1521, 2007. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Gomis, V., Ruiz, F., Devera, G., Lopez, E., and Saquete, M D.: Liquidâ€“liquidâ€“solid equilibria for the ternary-systems water sodium-chloride or potassium-chloride 1-propanol or 2-propanol, Fluid Phase Equilib., 98, 141â€“147, 1994. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Griffin, R J., Dabdub, D., and Seinfeld, J H.: Secondary organic aerosol - 1. Atmospheric chemical mechanism for production of molecular constituents, J. Geophys. Res. Atmos., 107, 4332, \doi10.1029/2001JD000541, 2002. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Griffin, R J., Nguyen, K., Dabdub, D., and Seinfeld, J H.: A Coupled Hydrophobic-Hydrophilic Model for Predicting Secondary Organic Aerosol Formation, J. Atmos. Chem., 44, 171â€“190, 2003. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Hallquist, M., Wenger, J. C., Baltensperger, U., Rudich, Y., Simpson, D., Claeys, M., Dommen, J., Donahue, N. M., George, C., Goldstein, A. H., Hamilton, J. F., Herrmann, H., Hoffmann, T., Iinuma, Y., Jang, M., Jenkin, M. E., Jimenez, J. L., Kiendler-Scharr, A., Maenhaut, W., McFiggans, G., Mentel, Th. F., Monod, A., PrÃ©v\^ôt, A. S. H., Seinfeld, J. H., Surratt, J. D., Szmigielski, R., and Wildt, J.: The formation, properties and impact of secondary organic aerosol: current and emerging issues, Atmos. Chem. Phys., 9, 5155â€“5236, doi:10.5194/acp-9-5155-2009, 2009. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Hennigan, C J., Bergin, M H., Dibb, J E., and Weber, R J.: Enhanced secondary organic aerosol formation due to water uptake by fine particles, Geophys. Res. Lett., 35(18), L18801, \doi10.1029/2008GL035046, 2008. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Herrmann, H., Tilgner, A., Barzaghi, P., Majdik, Z., Gligorovski, S., Poulain, L., and Monod, A.: Towards a more detailed description of tropospheric aqueous phase organic chemistry: CAPRAM 3.0, Atmos. Environ., 39, 4351â€“4363, \doi10.1016/j.atmosenv.2005.02.016, 2005. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Jimenez, J L., Canagaratna, M R., Donahue, N M., Prevot, A. S H., Zhang, Q., Kroll, J H., DeCarlo, P F., Allan, J D., Coe, H., Ng, N L., Aiken, A C., Docherty, K S., Ulbrich, I M., Grieshop, A P., Robinson, A L., Duplissy, J., Smith, J D., Wilson, K R., Lanz, V A., Hueglin, C., Sun, Y L., Tian, J., Laaksonen, A., Raatikainen, T., Rautiainen, J., Vaattovaara, P., Ehn, M., Kulmala, M., Tomlinson, J M., Collins, D R., Cubison, M J., Dunlea, E J., Huffman, J A., Onasch, T B., Alfarra, M R., Williams, P I., Bower, K., Kondo, Y., Schneider, J., Drewnick, F., Borrmann, S., Weimer, S., Demerjian, K., Salcedo, D., Cottrell, L., Griffin, R., Takami, A., Miyoshi, T., Hatakeyama, S., Shimono, A., Sun, J Y., Zhang, Y M., Dzepina, K., Kimmel, J R., Sueper, D., Jayne, J T., Herndon, S C., Trimborn, A M., Williams, L R., Wood, E C., Middlebrook, A M., Kolb, C E., Baltensperger, U., and Worsnop, D R.: Evolution of Organic Aerosols in the Atmosphere, Science, 326, 1525â€“1529, \doi10.1126/science.1180353, 2009. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> Kalberer, M., Paulsen, D., Sax, M., Steinbacher, M., Dommen, J., Prevot, A. S H., Fisseha, R., Weingartner, E., Frankevich, V., Zenobi, R., and Baltensperger, U.: Identification of Polymers asMajor Components of Atmospheric Organic Aerosols, Science, 303, 1659â€“1662, 2004. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> Kanakidou, M., Seinfeld, J. H., Pandis, S. N., Barnes, I., Dentener, F. J., Facchini, M. C., Van Dingenen, R., Ervens, B., Nenes, A., Nielsen, C. J., Swietlicki, E., Putaud, J. P., Balkanski, Y., Fuzzi, S., Horth, J., Moortgat, G. K., Winterhalter, R., Myhre, C. E. L., Tsigaridis, K., Vignati, E., Stephanou, E. G., and Wilson, J.: Organic aerosol and global climate modelling: a review, Atmos. Chem. Phys., 5, 1053â€“1123, doi:10.5194/acp-5-1053-2005, 2005. </mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple"> Knopf, D A., Anthony, L M., and Bertram, A K.: Reactive Uptake of O$_\rm 3$ by Multicomponent and Multiphase Mixtures Containing Oleic Acid, J. Phys. Chem. A, 109, 5579â€“5589, 2005. </mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple"> Kroll, J H. and Seinfeld, J H.: Chemistry of secondary organic aerosol: Formation and evolution of low-volatility organics in the atmosphere, Atmos. Environ., 42, 3593â€“3624, \doi10.1016/j.atmosenv.2008.01.003, prefixhttp://www.sciencedirect.com/science/article/B6VH3-4RJK162-1/% 2/9f429e694943ea6a240510087fe93cdb, 2008. </mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple"> Lee, S H., Murphy, D M., Thomson, D S., and Middlebrook, A M.: Chemical components of single particles measured with Particle Analysis by Laser Mass Spectrometry (PALMS) during the Atlanta SuperSite Project: Focus on organic/sulfate, lead, soot, and mineral particles, J. Geophys. Res. Atmos., 107, 4003, \doi10.1029/2000JD000011, 2002. </mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple"> Li, Z C., Tang, Y P., Liu, Y., and Li, Y G.: Salting effect in partially miscible systems of n-butanol water and butanone water .1. Determination and correlation of liquid-liquid equilibrium data, Fluid Phase Equilib., 103, 143â€“153, 1995. </mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple"> Ling, T Y. and Chan, C K.: Partial crystallization and deliquescence of particles containing ammonium sulfate and dicarboxylic acids, J. Geophys. Res. Atmos., 113(D14), D14205, \doi10.1029/2008JD009779, 2008. </mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple"> Lynn, S., Schiozer, A L., Jaecksch, W L., Cos, R., and Prausnitz, J M.: Recovery of anhydrous \chemNa_2SO_4 from \chemSO_2-scrubbing liquor by extractive crystallization: Liquid-liquid equilibria for aqueous solutions of sodium carbonate, sulfate, and/or sulfite plus acetone, 2-propanol, or tert-butyl alcohol, Ind. Eng. Chem. Res., 35, 4236â€“4245, 1996. </mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple"> Marcilla, A., Olaya, M M., and Serrano, M D.: Comments on Liquidâ€“Liquid Equilibrium Data Regression, J. Chem. Eng. Data, 52, 2538â€“2541, \doi10.1021/je700320u, 2007.  </mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple"> Marcolli, C. and Krieger, U K.: Phase changes during hygroscopic cycles of mixed organic/inorganic model systems of tropospheric aerosols, J. Phys. Chem. A, 110, 1881â€“1893, \doi10.1021/jp0556759, 2006. </mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple"> Marcolli, C. and Peter, Th.: Water activity in polyol/water systems: new UNIFAC parameterization, Atmos. Chem. Phys., 5, 1545â€“1555, doi:10.5194/acp-5-1545-2005, 2005. </mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple"> Marcolli, C., Luo, B P., and Peter, T.: Mixing of the Organic Aerosol Fractions: Liquids as the Thermodynamically Stable Phases, J. Phys. Chem. A, 108, 2216â€“2224, \doi10.1021/jp0360801, 2004a. </mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple"> Marcolli, C., Luo, B. P., Peter, Th., and Wienhold, F. G.: Internal mixing of the organic aerosol by gas phase diffusion of semivolatile organic compounds, Atmos. Chem. Phys., 4, 2593â€“2599, doi:10.5194/acp-4-2593-2004, 2004b. </mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple"> Maria, S F., Russell, L M., Gilles, M K., and Myneni, S. C B.: Organic aerosol growth mechanisms and their climate-forcing implications, Science, 306, 1921â€“1924, \doi10.1126/science.1103491, 2004. </mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple"> Middlebrook, A M., Murphy, D M., and Thomson, D S.: Observations of organic material in individual marine particles at Cape Grim during the First Aerosol Characterization Experiment (ACE 1), J. Geophys. Res. Atmos., 103, 16475â€“16483, 1998. </mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple"> Modell, M. and Reid, R C.: Thermodynamics and Its Applications, Prentice-Hall, Inc., Englewood Cliffs, NJ, USA, 2nd edn., 1983. </mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple"> Moller, B., Rarey, J., and Ramjugernath, D.: Estimation of the vapour pressure of non-electrolyte organic compounds via group contributions and group interactions, J. Mol. Liq., 143, 52â€“63, \doi10.1016/j.molliq.2008.04.020, 2008. </mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple"> MorÃ©, J J., Garbow, B S., and Hillstrom, K E.: User Guide for MINPACK-1, Argonne National Laboratory Report ANL-80-74, Argonne, Ill., USA, prefixhttp://www.netlib.org/minpack/, 1980. </mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple"> MorÃ©, J J., Sorensen, D C., Hillstrom, K E., and Garbow, B S.: The MINPACK Project, in Sources and Development of Mathematical Software, Prentice-Hall, Inc., Upper Saddle River, NJ, USA, 1984. </mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple"> Murphy, D M. and Thomson, D S.: Chemical composition of single aerosol particles at Idaho Hill: Negative ion measurements, J. Geophys. Res. Atmos., 102, 6353â€“6368, 1997. </mixed-citation>
</ref>
<ref id="ref60">
<label>60</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. Atmos., 111, D23S32, \doi10.1029/2006JD007340, 2006. </mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple"> Nannoolal, Y., Rarey, J., Ramjugernath, D., and Cordes, W.: Estimation of pure component properties Part 1. Estimation of the normal boiling point of non-electrolyte organic compounds via group contributions and group interactions, Fluid Phase Equilib., 226, 45â€“63, \doi10.1016/j.fluid.2004.09.001, 2004. </mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple"> Odum, J R., Hoffmann, T., Bowman, F., Collins, D., Flagan, R C., and Seinfeld, J H.: Gas/Particle Partitioning and Secondary Organic Aerosol Yields, Environ. Sci. Technol., 30, 2580â€“2585, 1996. </mixed-citation>
</ref>
<ref id="ref63">
<label>63</label><mixed-citation publication-type="other" xlink:type="simple"> Pankow, J F.: An absorption model of gas/particle partitioning of organic compounds in the atmosphere, Atmos. Environ., 28, 185â€“188, 1994. </mixed-citation>
</ref>
<ref id="ref64">
<label>64</label><mixed-citation publication-type="other" xlink:type="simple"> Pankow, J F.: Gas/particle partitioning of neutral and ionizing compounds to single and multi-phase aerosol particles. 1.Unified modeling framework, Atmos. Environ., 37, 3323â€“3333, \doi10.1016/S1352-2310(03)00346-7, 2003. </mixed-citation>
</ref>
<ref id="ref65">
<label>65</label><mixed-citation publication-type="other" xlink:type="simple"> Pankow, J F. and Chang, E I.: Variation in the Sensitivity of Predicted Levels of Atmospheric Organic Particulate Matter (OPM), Environ. Sci. Technol., 42, 7321â€“7329, \doi10.1021/es8003377, 2008. </mixed-citation>
</ref>
<ref id="ref66">
<label>66</label><mixed-citation publication-type="other" xlink:type="simple"> Pankow, J F., Seinfeld, J H., Asher, W E., and Erdakos, G B.: Modeling the Formation of Secondary Organic Aerosol. 1. Application of Theoretical Principles to Measurements Obtained in the Î±-Pinene/, Î²-Pinene/, Sabinene/, $\Delta^3$-Carene/, and Cyclohexene/Ozone Systems, Environ. Sci. Technol., 35, 1164â€“1172, \doi10.1021/es001321d, 2001. </mixed-citation>
</ref>
<ref id="ref67">
<label>67</label><mixed-citation publication-type="other" xlink:type="simple"> Pant, A., Fok, A., Parsons, M T., Mak, J., and Bertram, A K.: Deliquescence and crystallization of ammonium sulfate-glutaric acid and sodium chloride-glutaric acid particles, Geophys. Res. Lett., 31, L12111, \doi10.1029/2004GL020025, 2004. </mixed-citation>
</ref>
<ref id="ref68">
<label>68</label><mixed-citation publication-type="other" xlink:type="simple"> Parsons, M T., Knopf, D A., and Bertram, A K.: Deliquescence and Crystallization of Ammonium Sulfate Particles Internally Mixed with Water-Soluble Organic Compounds, J. Phys. Chem. A, 108, 11600â€“11608, \doi10.1021/jp0462862, 2004. </mixed-citation>
</ref>
<ref id="ref69">
<label>69</label><mixed-citation publication-type="other" xlink:type="simple"> Pierrehumbert, R T., Brogniez, H., and Roca, R.: On the Relative Humidity of the Atmosphere, in: The Global Circulation of the Atmosphere, edited by: Schneider, T. and Sobel, A H., 143â€“185, Princeton Univ. Press, Princeton, NJ, USA, 2007. </mixed-citation>
</ref>
<ref id="ref70">
<label>70</label><mixed-citation publication-type="other" xlink:type="simple"> Prisle, N L., Engelhart, G J., Bilde, M., and Donahue, N M.: Humidity influence on gas-particle phase partitioning of Î±-pinene + O&lt;sub&gt;3&lt;/sub&gt; secondary organic aerosol, Geophys. Res. Lett., 37, L01802, \doi10.1029/2009GL041402, 2010. </mixed-citation>
</ref>
<ref id="ref71">
<label>71</label><mixed-citation publication-type="other" xlink:type="simple"> Pun, B K., Griffin, R J., Seigneur, C., and Seinfeld, J H.: Secondary organic aerosol â€“ 2. Thermodynamic model for gas/particle partitioning of molecular constituents, J. Geophys. Res. Atmos., 107(D17), 4333, \doi10.1029/2001JD000542, 2002. </mixed-citation>
</ref>
<ref id="ref72">
<label>72</label><mixed-citation publication-type="other" xlink:type="simple"> Ravishankara, A R.: Heterogeneous and Multiphase Chemistry in the Troposphere, Science, 276, 1058â€“1065, \doi10.1126/science.276.5315.1058, prefixhttp://www.sciencemag.org/cgi/content/abstract/276/5315/1058, 1997. </mixed-citation>
</ref>
<ref id="ref73">
<label>73</label><mixed-citation publication-type="other" xlink:type="simple"> Robinson, A L., Donahue, N M., Shrivastava, M K., Weitkamp, E A., Sage, A M., Grieshop, A P., Lane, T E., Pierce, J R., and Pandis, S N.: Rethinking Organic Aerosols: Semivolatile Emissions and Photochemical Aging, Science, 315, 1259â€“1262, \doi10.1126/science.1133061, 2007. </mixed-citation>
</ref>
<ref id="ref74">
<label>74</label><mixed-citation publication-type="other" xlink:type="simple"> Rogge, W F., Mazurek, M A., Hildemann, L M., Cass, G R., and Simoneit, B. R T.: Quantification of Urban Organic Aerosols at a Molecular Level Identification, Abundance and Seasonal Variation, Atmos. Environ., 27, 1309â€“1330, 1993. </mixed-citation>
</ref>
<ref id="ref75">
<label>75</label><mixed-citation publication-type="other" xlink:type="simple"> Russell, L M., Takahama, S., Liu, S., Hawkins, L N., Covert, D S., Quinn, P K., and Bates, T S.: Oxygenated fraction and mass of organic aerosol from direct emission and atmospheric processing measured on the R/V Ronald Brown during TEXAQS/GoMACCS 2006, J. Geophys. Res. Atmos., 114, D00F05, \doi10.1029/2008JD011275, 2009. </mixed-citation>
</ref>
<ref id="ref76">
<label>76</label><mixed-citation publication-type="other" xlink:type="simple"> Saxena, P. and Hildemann, L.: Water-soluble organics in atmospheric particles: A critical review of the literature and application of thermodynamics to identify candidate compounds, J. Atmos. Chem., 24, 57â€“109, 1996. </mixed-citation>
</ref>
<ref id="ref77">
<label>77</label><mixed-citation publication-type="other" xlink:type="simple"> Saxena, P. and Hildemann, L M.: Water absorption by organics: Survey of laboratory evidence and evaluation of UNIFAC for estimating water activity, Environ. Sci. Technol., 31, 3318â€“3324, 1997. </mixed-citation>
</ref>
<ref id="ref78">
<label>78</label><mixed-citation publication-type="other" xlink:type="simple"> Saxena, P., Hildemann, L M., McMurry, P H., and Seinfeld, J H.: Organics alter hygroscopic behavior of atmospheric particles, J. Geophys. Res. Atmos., 100, 18755â€“18770, 1995. </mixed-citation>
</ref>
<ref id="ref79">
<label>79</label><mixed-citation publication-type="other" xlink:type="simple"> Saxena, R. and Caneba, G T.: Studies of Spinodal Decomposition in a Ternary Polymer-Solvent-Nonsolvent System, Polym. Eng. Sci., 42, 1019â€“1031, 2002. </mixed-citation>
</ref>
<ref id="ref80">
<label>80</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, J. Wiley &amp; Sons, New York, USA, 1998. </mixed-citation>
</ref>
<ref id="ref81">
<label>81</label><mixed-citation publication-type="other" xlink:type="simple"> Seinfeld, J H., Erdakos, G B., Asher, W E., and Pankow, J F.: Modeling the Formation of Secondary Organic Aerosol (SOA). 2. The Predicted Effects of Relative Humidity on Aerosol Formation in the Î±-Pinene-, Î²-Pinene-, Sabinene-, $\Delta^3$-Carene-, and Cyclohexene-Ozone Systems, Environ. Sci. Technol., 35, 1806â€“1817, \doi10.1021/es001765+, 2001. </mixed-citation>
</ref>
<ref id="ref82">
<label>82</label><mixed-citation publication-type="other" xlink:type="simple"> Shrivastava, M K., Lipsky, E M., Stanier, C O., and Robinson, A L.: Modeling Semivolatile Organic Aerosol Mass Emissions from Combustion Systems, Environ. Sci. Technol., 40, 2671â€“2677, \doi10.1021/es0522231, 2006.  </mixed-citation>
</ref>
<ref id="ref83">
<label>83</label><mixed-citation publication-type="other" xlink:type="simple"> Speight, J G. (ed.): LANGE’S HANDBOOK OF CHEMISTRY, McGraw-Hill Companies, Inc., New York, USA, 16th edn., 2005. </mixed-citation>
</ref>
<ref id="ref84">
<label>84</label><mixed-citation publication-type="other" xlink:type="simple"> Srinivas, M. and Rangaiah, G P.: A study of differential evolution and tabu search for benchmark, phase equilibrium and phase stability problems, Comput. Chem. Eng., 31, 760â€“772, \doi10.1016/j.compchemeng.2006.07.015, 2007. </mixed-citation>
</ref>
<ref id="ref85">
<label>85</label><mixed-citation publication-type="other" xlink:type="simple"> Storn, R. and Price, K.: Differential Evolution â€“ A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces, J. Global Optim., 11, 341â€“359, 1997. </mixed-citation>
</ref>
<ref id="ref86">
<label>86</label><mixed-citation publication-type="other" xlink:type="simple"> Turpin, B J., Saxena, P., and Andrews, E.: Measuring and simulating particulate organics in the atmosphere: problems and prospects, Atmos. Environ., 34, 2983â€“3013, 2000. </mixed-citation>
</ref>
<ref id="ref87">
<label>87</label><mixed-citation publication-type="other" xlink:type="simple"> Tvrdik, J.: Differential Evolution: Competitive Setting of Control Parameters., Proceedings of the International Multiconference on Computer Science and Information Technology, 207â€“213, 2006. </mixed-citation>
</ref>
<ref id="ref88">
<label>88</label><mixed-citation publication-type="other" xlink:type="simple"> VonNiederhausern, D M., Wilson, G M., and Giles, N F.: Critical Point and Vapor Pressure Measurements for Four Compounds by a Low Residence Time Flow Method, J. Chem. Eng. Data, 51, 1986â€“1989, \doi10.1021/je0602465, 2006. </mixed-citation>
</ref>
<ref id="ref89">
<label>89</label><mixed-citation publication-type="other" xlink:type="simple"> Yamasaki, H., Kuwata, K., and Miyamoto, H.: Effects of Ambient Temperature on Aspects of Airborne Polycyclic Aromatic Hydrocarbons, Environ. Sci. Technol., 16, 189â€“194, 1982. </mixed-citation>
</ref>
<ref id="ref90">
<label>90</label><mixed-citation publication-type="other" xlink:type="simple"> Yan, W D., Topphoff, M., Rose, C., and Gmehling, J.: Prediction of vaporâ€“liquid equilibria in mixed-solvent electrolyte systems using the group contribution concept, Fluid Phase Equilib., 162, 97â€“113, 1999. </mixed-citation>
</ref>
<ref id="ref91">
<label>91</label><mixed-citation publication-type="other" xlink:type="simple"> Yu, J Z., Cocker, D R., Griffin, R J., Flagan, R C., and Seinfeld, J H.: Gas-phase ozone oxidation of monoterpenes: Gaseous and particulate products, J. Atmos. Chem., 34, 207â€“258, 1999. </mixed-citation>
</ref>
<ref id="ref92">
<label>92</label><mixed-citation publication-type="other" xlink:type="simple"> Zhang, Q., Jimenez, J L., Canagaratna, M R., Allan, J D., Coe, H., Ulbrich, I., Alfarra, M R., Takami, A., Middlebrook, A M., Sun, Y L., Dzepina, K., Dunlea, E., Docherty, K., DeCarlo, P F., Salcedo, D., Onasch, T., Jayne, J T., Miyoshi, T., Shimono, A., Hatakeyama, S., Takegawa, N., Kondo, Y., Schneider, J., Drewnick, F., Borrmann, S., Weimer, S., Demerjian, K., Williams, P., Bower, K., Bahreini, R., Cottrell, L., Griffin, R J., Rautiainen, J., Sun, J Y., Zhang, Y M., and Worsnop, D R.: Ubiquity and dominance of oxygenated species in organic aerosols in anthropogenically-influenced Northern Hemisphere midlatitudes, Geophys. Res. Lett., 34, L13801, \doi10.1029/2007GL029979, 2007. </mixed-citation>
</ref>
<ref id="ref93">
<label>93</label><mixed-citation publication-type="other" xlink:type="simple"> Zuend, A.: Modelling the Thermodynamics of Mixed Organic-Inorganic Aerosols to Predict Water Activities and Phase Separations, Phd thesis, ETH Zurich, Zurich, Switzerland, \doi10.3929/ethz-a-005582922, prefixhttp://e-collection.ethbib.ethz.ch/view/eth:30457, 2007.  </mixed-citation>
</ref>
<ref id="ref94">
<label>94</label><mixed-citation publication-type="other" xlink:type="simple"> Zuend, A., Marcolli, C., Luo, B. P., and Peter, T.: A thermodynamic model of mixed organic-inorganic aerosols to predict activity coefficients, Atmos. Chem. Phys., 8, 4559â€“4593, doi:10.5194/acp-8-4559-2008, 2008.  </mixed-citation>
</ref>
</ref-list>
</back>
</article>