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Aspen Physical Property System - Physical Property Models

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Where:<br />

�i<br />

2 Thermodynamic <strong>Property</strong> <strong>Models</strong> 93<br />

= Activity coefficient of component i<br />

�i SG = Staverman-Guggenheim model for combinatorial<br />

contribution to �i<br />

�i(�m)<br />

�S(�m)<br />

pi(�m)<br />

pi(�m)<br />

�<br />

�W(�m,�n)<br />

�W HB (�m,�n)<br />

= Segment activity coefficient of segment �m in<br />

component i<br />

= Segment activity coefficient of segment �m in<br />

solvent mixture<br />

= Sigma profile of component i<br />

= Sigma profile of solvent mixture<br />

= Surface charge density<br />

= Exchange energy between segments �m and �n<br />

= Hydrogen-bonding contribution to exchange energy<br />

between segments �m and �n<br />

z = Coordination number, 10<br />

Vi<br />

Ai<br />

aeff<br />

Veff<br />

Aeff<br />

�'<br />

= Molecular volume of component i<br />

= Molecular surface area of component i<br />

= Standard segment surface area, 7.50 Å 2<br />

= Standard component volume, 66.69 Å 3<br />

= Standard component surface area, 79.53 Å 2<br />

= Misfit energy constant<br />

The Cosmo-SAC model does not require binary parameters. For each<br />

component, it has six input parameters. CSACVL is the component volume<br />

parameter which is always defined in cubic angstroms, regardless of chosen<br />

units sets. SGPRF1 to SGPRF5 are five component sigma profile parameters;<br />

each can store up to 12 points of sigma profile values. All six input<br />

parameters are obtained from COSMO calculation. The <strong>Aspen</strong> <strong>Physical</strong><br />

<strong>Property</strong> <strong>System</strong> includes a database of sigma profiles for over 1400<br />

compounds from Mullins et al. (2006). The parameters were obtained by<br />

permission from the Virginia Tech Sigma Profile Database website<br />

(http://www.design.che.vt.edu/VT-2004.htm). <strong>Aspen</strong> Technology, Inc. does<br />

not claim proprietary rights to these parameters.<br />

Note: Starting in version V7.2, additional parameters SGPRF6 through<br />

SGPRF9 and SGPR10 through SGPR14 are available in <strong>Aspen</strong> Plus and<br />

<strong>Aspen</strong> Properties, as part of a planned expansion to allow larger sigma<br />

profiles to be used. However, the model is not yet updated to use these<br />

parameters and you should not yet try to use sigma profiles larger than 51<br />

elements.

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