<?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>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acp-7-4639-2007</article-id>
<title-group>
<article-title>ISORROPIA II: a computationally efficient thermodynamic equilibrium model for K&lt;sup&gt;+&lt;/sup&gt;&amp;ndash;Ca&lt;sup&gt;2+&lt;/sup&gt;&amp;ndash;Mg&lt;sup&gt;2+&lt;/sup&gt;&amp;ndash;NH&lt;sub&gt;4&lt;/sub&gt;&lt;sup&gt;+&lt;/sup&gt;&amp;ndash;Na&lt;sup&gt;+&lt;/sup&gt;&amp;ndash;SO&lt;sub&gt;4&lt;/sub&gt;&lt;sup&gt;2&amp;minus;&lt;/sup&gt;&amp;ndash;NO&lt;sub&gt;3&lt;/sub&gt;&lt;sup&gt;&amp;minus;&lt;/sup&gt;&amp;ndash;Cl&lt;sup&gt;&amp;minus;&lt;/sup&gt;&amp;ndash;H&lt;sub&gt;2&lt;/sub&gt;O aerosols</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Fountoukis</surname>
<given-names>C.</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>Nenes</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-group><aff id="aff1">
<label>1</label>
<addr-line>School of Chemical and Biomolecular Engineering, Georgia Institute of Technology, 311 Ferst Drive, Atlanta, GA 30332-0100, USA</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>School of Earth and Atmospheric Sciences, Georgia Institute of Technology, 311 Ferst Drive, Atlanta, GA 30332-0100, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>13</day>
<month>09</month>
<year>2007</year>
</pub-date>
<volume>7</volume>
<issue>17</issue>
<fpage>4639</fpage>
<lpage>4659</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/7/4639/2007/acp-7-4639-2007.html">This article is available from http://www.atmos-chem-phys.net/7/4639/2007/acp-7-4639-2007.html</self-uri>
<self-uri xlink:href="http://www.atmos-chem-phys.net/7/4639/2007/acp-7-4639-2007.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys.net/7/4639/2007/acp-7-4639-2007.pdf</self-uri>
<abstract>
<p>This study presents ISORROPIA II, a thermodynamic equilibrium model for the
K&lt;sup&gt;+&lt;/sup&gt;&amp;ndash;Ca&lt;sup&gt;2+&lt;/sup&gt;&amp;ndash;Mg&lt;sup&gt;2+&lt;/sup&gt;&amp;ndash;NH&lt;sub&gt;4&lt;/sub&gt;&lt;sup&gt;+&lt;/sup&gt;&amp;ndash;Na&lt;sup&gt;+&lt;/sup&gt;&amp;ndash;SO&lt;sub&gt;4&lt;/sub&gt;&lt;sup&gt;2&amp;minus;&lt;/sup&gt;&amp;ndash;NO&lt;sub&gt;3&lt;/sub&gt;&lt;sup&gt;&amp;minus;&lt;/sup&gt;&amp;ndash;Cl&lt;sup&gt;&amp;minus;&lt;/sup&gt;&amp;ndash;H&lt;sub&gt;2&lt;/sub&gt;O aerosol system. A
comprehensive evaluation of its performance is conducted against water
uptake measurements for laboratory aerosol and predictions of the SCAPE2
thermodynamic module over a wide range of atmospherically relevant
conditions. The two models agree well, to within 13% for aerosol
water content and total PM mass, 16% for aerosol nitrate and 6% for
aerosol chloride and ammonium. Largest discrepancies were found under
conditions of low RH, primarily from differences in the treatment of water
uptake and solid state composition. In terms of computational speed,
ISORROPIA II was more than an order of magnitude faster
than SCAPE2, with robust and rapid convergence under all conditions. The
addition of crustal species does not slow down the thermodynamic
calculations (compared to the older ISORROPIA code) because of optimizations
in the activity coefficient calculation algorithm. Based on its
computational rigor and performance, ISORROPIA II appears to be a highly
attractive alternative for use in large scale air quality and atmospheric
transport models.</p>
</abstract>
<counts><page-count count="21"/></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"> Altshüller, A. P.: Atmospheric particle sulfur and sulfur dioxide relationships at urban and nonurban locations, Atmos. Environ., 18, 1421&amp;ndash;1431, 1984. </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., Savarin, V. B., Seinfeld, J. H., and Yoo, K. Y.: A new inorganic atmospheric aerosol phase equilibrium model (UHAERO), Atmos. Chem. Phys., 6, 975&amp;ndash;992, 2006. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Ansari, A. S. and Pandis, S. N.: Prediction of multicomponent inorganic atmospheric aerosol behavior, Atmos. Environ., 33, 745&amp;ndash;757, 1999a. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Ansari, A. S. and Pandis, S. N.: An analysis of four models predicting the partitioning of semivolatile inorganic aerosol components, Aerosol Sci. Technol., 31, 129&amp;ndash;153, 1999b. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Brauer, M. and Brook, J. R.: Ozone personal exposures and health effects for selected groups residing in the Fraser Valley, Atmos. Environ., 31, 2113&amp;ndash;2122, 1997. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Bromley, L. A.: Thermodynamic properties of strong electrolytes in aqueous solutions, AIChE J., 19, 313&amp;ndash;320, 1973. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Chan, M. N. and Chan, C. K.: Mass transfer effects in hygroscopic measurements of aerosol particles, Atmos. Chem. Phys., 5, 2703&amp;ndash;2712, 2005. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Clegg, S. L. and Pitzer, K. S.: Thermodynamics of multicomponent, miscible, ionic solutions: generalized equations for symmetrical electrolytes, J. Phys. Chem., 96, 3513&amp;ndash;3520, 1992. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Clegg, S. L., Pitzer, K. S., and Brimblecombe, P.: Thermodynamics of multicomponent, miscible, ionic solutions. II. Mixture including unsymmetrical electrolytes, J. Phys. Chem., 96, 9470&amp;ndash;9479, 1992. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Clegg, S. L., Pitzer, K. S., and Brimblecombe, P.: (additions and corrections for their published papers), J. Phys. Chem., 98, 1368, 1994. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Clegg, S. L., Pitzer, K. S., and Brimblecombe, P.: (additions and corrections for their published papers), J. Phys. Chem., 99, 6755, 1995. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Clegg, S. L., Brimblecombe, P., and Wexler, A. S.: Thermodynamic model of the system H$^+ -$NH$_4^+ -$SO$_4^2-$NO$_3^-$H&lt;sub&gt;2&lt;/sub&gt;O at tropospheric temperatures, J. Phys. Chem., A, 102, 2137&amp;ndash;2154, 1998a. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Clegg, S. L., Brimblecombe, P., and Wexler, A. S.: Thermodynamic model of the system H$^+ -$NH$_4^+-$Na$^+-$SO$_4^2-$NO$_3^- -$Cl$^-$H&lt;sub&gt;2&lt;/sub&gt;O at 298.15 K, J. Phys. Chem., A, 102, 2155&amp;ndash;2171, 1998b. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Denbigh, K.: The principles of chemical equilibrium, Fourth Ed., Cambridge University Press, Cambridge, 1981. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Dockery, D. W., Pope, C. A., Xu, X., Spengler, J. D., Ware, J. H., Fay, M. E., Ferris, B. G., and Speizer, F. E.: An Association between Air Pollution and Mortality in Six U.S. Cities, The New England Journal of Medicine, 329, 1753&amp;ndash;1759, 1993. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Fitzgerald, J. W.: Marine aerosols: A review, Atmos. Environ., 25A, 533&amp;ndash;545, 1991. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Ha, Z. and Chan, C. K.: The water activities of MgCl&lt;sub&gt;2&lt;/sub&gt;, Mg(NO$_3)_2$, MgSO&lt;sub&gt;4&lt;/sub&gt;, and their mixtures, Aerosol Sci. Technol., 31, 154&amp;ndash;169, 1999. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Heitzenberg, J.: Fine particles in the global troposphere: a review, Tellus, 41B, 149&amp;ndash;160, 1989. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Intergovernmental Panel on Climate Change: The scientific Basis, Cambridge Univ. Press, New York, 2001. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Jacobson, M. Z., Tabazadeh, A., and Turco, R. P.: Simulating equilibrium within aerosols and nonequlibrium between gases and aerosols, J. Geophys. Res., 101, 9079&amp;ndash;9091, 1996. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Jacobson, M. Z.: Chemical Equilibrium and dissolution processes, Fundamentals of Atmospheric Modeling, Cambridge University Press, New York, pp. 476&amp;ndash;510, (Chapter 18), 1999a. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Jacobson, M. Z.: Studying the effect of calcium and magnesium on size-distributed nitrate and ammonium with EQUISOLV II, Atmos. Environ., 33, 3635&amp;ndash;3649, 1999b. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Ramachandran, G. and Vincent, J. H.: A Bayesian approach to retrospective exposure assessment, Applied Occupational and Environmental Hygiene, 14, 547&amp;ndash;558, 1999. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Kaiser, J.: Mounting evidence indicts fine-particle pollution, Science, 307, 1858&amp;ndash;1861, 2005. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Kelly, J. T. and Wexler, A. S.: Thermodynamics of carbonates and hydrates related to heterogeneous reactions involving mineral aerosol, J. Geophys. Res., 110, D11201, doi:10.1029/2004JD005583, 2005. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Kelly, J. T. and Wexler, A. S.: Water uptake by aerosol: Water activity in supersaturated potassium solutions and deliquescence as a function of temperature, Atmos. Environ, 40, 4450&amp;ndash;4468, 2006. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Kim, Y. P., Seinfeld, J. H., and Saxena, P.: Atmospheric gas &amp;ndash; aerosol equilibrium I. Thermodynamic model, Aerosol Sci. Technol., 19, 157&amp;ndash;181, 1993a. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Kim, Y. P., Seinfeld, J. H., and Saxena, P.: Atmospheric gas &amp;ndash; aerosol equilibrium II. Analysis of common approximations and activity coefficient calculation methods, Aerosol Sci. Technol., 19, 182&amp;ndash;198, 1993b. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Kim, Y. P. and Seinfeld, J. H.: Atmospheric gas &amp;ndash; aerosol equilibrium III. Thermodynamics of crustal elements Ca$^2+$, K$^+$, and Mg$^2+$, Aerosol Sci. Technol., 22, 93&amp;ndash;110, 1995. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Kusik, C. L. and Meissner, H. P.: Electrolyte activity coefficients in inorganic processing, AIChE Symp. Series, 173, 14&amp;ndash;20, 1978. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Makar, P. A., Bouchet, V. S., and Nenes, A.: Inorganic chemistry calculations using HETV &amp;ndash; a vectorized solver for the SO$_4^2-$ &amp;ndash; NO$_3^-$ &amp;ndash; NH$_4^+$ system based on the ISORROPIA algorithms, Atmos. Environ., 37, 2279&amp;ndash;2294, 2003. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Meng, Z. Y., Seinfeld, J. H., Saxena, P., and Kim, Y. P.: Atmospheric gas &amp;ndash; aerosol equilibrium IV. Thermodynamics of carbonates, Aerosol Sci. Technol., 23, 131&amp;ndash;154, 1995. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Meissner, H. P., Kusik, C. L., and Tester, J. W.: Activity coefficients of strong electrolytes in aqueous solution &amp;ndash; effect of temperature, AIChE Journal, 18(3), 661&amp;ndash;662, 1972. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Meissner, H. P. and Peppas, N. A.: Activity coefficients &amp;ndash; aqueous Solutions of polybasic acids and their salts, AIChE Journal, 19(4), 806&amp;ndash;809, 1973. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Metzger, S. M., Dentener, F. J., and Lelieveld, J.: Aerosol multiphase chemistry &amp;ndash; A parameterization for global modeling, Int. Rep. 99&amp;ndash;12, for Mar. and Atmos. Res., Utrecht, Netherlands, 1999. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Metzger, S. M., Dentener, F. J., Lelieveld, J., and Pandis, S. N.: Gas/aerosol partitioning I: a computationally efficient model, J. Geophys. Res., 107(D16), 4312, doi:10.1029/2001JD001102, 2002a. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Metzger, S. M., Dentener, F. J., Jeuken, A., Krol, M., and Lelieveld, J.: Gas/aerosol partitioning II: global modeling results, J. Geophys. Res., 107(D16), 4313, doi:10.1029/2001JD001103, 2002b. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Metzger, S., Mihalopoulos, N., and Lelieveld, J.: Importance of mineral cations and organics in gas-aerosol partitioning of reactive nitrogen compounds: case study based on MINOS results, Atmos. Chem. Phys., 6, 2549&amp;ndash;2567, 2006. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Moya, M., Pandis, S. N., and Jacobson, M. J.: Is the size distribution of urban aerosols determined by thermodynamic equilibrium? An application to Southern California, Atmos. Environ., 36, 2349&amp;ndash;2365, 2002. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> Moya, M., Ansari, A. S., and Pandis, S. N.: Partitioning of nitrate and ammonium between the gas and particulate phases during the 1997 IMADA-AVER study in Mexico City, Atmos. Environ., 35, 1791&amp;ndash;1804, 2001a. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> Moya, M., Pandis, S. N., and Jacobson, M. Z.: Is the size distribution of urban aerosols determined by thermodynamic equilibrium? An application to Southern California, Atmos. Environ., 36, 2349&amp;ndash;2365, 2001b. </mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple"> Nenes, A., Pandis, S. N., and Pilinis, C.: ISORROPIA: A new thermodynamic equilibrium model for multiphase multicomponent inorganic aerosols, Aquatic Geochemistry, 4, 123&amp;ndash;152, 1998. </mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple"> Nenes, A., Pilinis, C., and Pandis, S. N.: Continued development and testing of a new thermodynamic aerosol module for urban and regional air quality models, Atmos. Environ., 33, 1553&amp;ndash;1560, 1999. </mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple"> Pilinis, C. and Seinfeld, J. H.: Continued development of a general equilibrium model for inorganic multicomponent atmospheric aerosols, Atmos. Environ, 21, 2453&amp;ndash;2466, 1987. </mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple"> Pilinis, C. and Seinfeld, J. H.: Water content of atmospheric aerosols, Atmos. Environ., 23, 1601&amp;ndash;1606, 1989. </mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple"> Pitzer, K. S. and Simonson, J. M.: Thermodynamics of multicomponent, miscible, ionic systems: Theory and equations, J. Phys. Chem., 90, 3005&amp;ndash;3009, 1986. </mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple"> Potukuchi, S. and Wexler, A. S.: Identifying solid-aqueous phase transitions in atmospheric aerosols &amp;ndash; I. Neutral-acidity solutions, Atmos. Environ., 29, 1663&amp;ndash;1676, 1995a. </mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple"> Potukuchi, S. and Wexler, A. S.: Identifying solid-aqueous phase transitions in atmospheric aerosols &amp;ndash; II. Acidic solutions, Atmos. Environ., 29, 3357&amp;ndash;3364, 1995b. </mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple"> San Martini, F. M., West, J. J., de Foy, B., Molina, L. T., Molina, M. J., Sosa, G., and McRae, G. J.: Modeling inorganic aerosols and their response to changes in precursor concentration in Mexico City, J. Air Waste Manag. Assoc., 55(6), 803&amp;ndash;815, 2005. </mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple"> San Martini, F. M.: Decision Support Tools for Urban Air Quality Management, Ph.D Thesis, Massachusetts Institute of Technology, p. 283, 2004. </mixed-citation>
</ref>
<ref id="ref51">
<label>51</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 &amp; Sons, Inc., 1998. </mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple"> Stelson, A. W. and Seinfeld, J. H.: Relative humidity and temperature dependence of the ammonium nitrate dissociation constant, Atmos. Environ., 16(5), 983&amp;ndash;992, 1982. </mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple"> Thomsen, K. and Rasmussen, P.: Modeling of vapor-liquid-solid equilibrium in gas-aqueous electrolyte systems, Chem. Eng. Sci., 54, 1787&amp;ndash;1802, 1999. </mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple"> Trebs, I., Metzger, S., Meixner, F. X., Helas, G., Hoffer, A., Andreae, M. O., Moura, M. A. L., da Silva, R. S., Slanina, J., Rudich, Y., Falkovich, A., and Artaxo, P.: The NH$_4^+$&amp;ndash;NO$_3^- -$Cl$^-$&amp;ndash;SO$_4^2-$&amp;ndash;H&lt;sub&gt;2&lt;/sub&gt;O system and its gas phase precursors at a rural site in the Amazon Basin: How relevant are crustal species and soluble organic compounds?, J Geophys. Res.-Atmos., 110, D07303, doi:10.1029/2004JD005478, 2005. </mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple"> Wexler, A. S. and Clegg, S. L.: Atmospheric aerosol models for systems including the ions H$^+$, NH$_4^+$, Na$^+$, SO$_4^2-$, NO$_3^-$, Cl$^-$, Br$^-$, and H&lt;sub&gt;2&lt;/sub&gt;O, J. Geophys. Res., 107, 4207, doi:10.1029/2001JD000451, 2002. </mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple"> Wexler, A. S. and Seinfeld, J. H.: The distribution of ammonium salts among a size and composition dispersed aerosol, Atmos. Environ., 24A, 1231&amp;ndash;1246, 1990. </mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple"> Wexler, A. S. and Seinfeld, J. H.: Second &amp;ndash; generation inorganic aerosol model, Atmos. Environ., 25A, 2731&amp;ndash;2748, 1991. </mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple"> Wexler, A. S. and Clegg, S. L.: Atmospheric aerosol models for systems including the ions H$^+$, NH$_4^+$, Na$^+$, SO$_4^2-$, NO$_3^-$, Cl$^-$, Br$^-$, and H&lt;sub&gt;2&lt;/sub&gt;O, J. Geophys. Res., 107, 4207, doi:10.1029/2001JD000451, 2002. </mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple"> Yu, S., Dennis. R., Roselle, S., Nenes., A., Walker, J., Eder, B., Schere, K., Swall, J., and Robarge, W.: An assessment of the ability of three-dimensional air quality models with current thermodynamic equilibrium models to predict aerosol NO$_3^-$, J. Geophys. Res., 110, D07S13, doi:10.1029/2004JD004718, 2005. </mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple"> Zanobetti, A., Schwartz, J., and Dockery, D. W.: Airborne particles are a risk factor for hospital admissions for heart and lung disease, Environmental Health Perspective, 108, 1071&amp;ndash;1082, 2000. </mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple"> Zaveri, R. A., Easter, R. C., and Peters, L. K.: A computationally efficient multicomponent equilibrium solver for aerosols (MESA), J. Geophys. Res., 110, D24203, doi:10.1029/2004JD005618, 2005a. </mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple"> Zaveri, R. A., Easter, R. C., and Wexler, A. S.: A new method for multicomponent activity coefficients of electrolytes in aqueous atmospheric aerosols, J. Geophys. Res., 110, D02201, doi:10.1029/2004JD004681, 2005b. </mixed-citation>
</ref>
<ref id="ref63">
<label>63</label><mixed-citation publication-type="other" xlink:type="simple"> Zhang, Y., Seigneur, C., Seinfeld, J. H., Jacobson, M., Clegg, S. L., and Binkowski, F. S.: A comparative review of inorganic aerosol thermodynamic equilibrium models: similarities, differences, and their likely causes, Atmos. Environ., 34, 117&amp;ndash;137, 2000. </mixed-citation>
</ref>
</ref-list>
</back>
</article>