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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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14.21.2 Predicting cosolvency 997<br />

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14.21.2 PREDICTING COSOLVENCY FOR PHARMACEUTICAL AND<br />

ENVIRONMENTAL APPLICATIONS<br />

An Li<br />

School <strong>of</strong> Public Health, University <strong>of</strong> Illinois at Chicago, Chicago, IL, USA<br />

14.21.2.1 Introduction<br />

Cosolvency refers to the effects <strong>of</strong> adding one or more solvents (cosolvents), which are different<br />

from the existing solvent in a solution, on the properties <strong>of</strong> the solution or behavior <strong>of</strong><br />

the solute. Cosolvency has found its applications in numerous engineering and scientific<br />

disciplines. The discussion in this section will be limited to aqueous phase cosolvency (the<br />

primary solvent is water), and cosolvents will include only pure organic solvents which are<br />

miscible with water either completely (in any proportion) or partially (in only certain proportions).<br />

The extent <strong>of</strong> cosolvency will be quantitatively described by the difference in solute<br />

solubilities in pure water and in a mixture <strong>of</strong> water and cosolvent(s).<br />

Cosolvency has been studied for decades. However, it remains a poorly understood<br />

phenomenon due in large measure to our limited awareness <strong>of</strong> the liquid structure and the<br />

intermolecular forces. At present, practical approaches to predicting cosolvency are to develop<br />

models based on established theories and to make use <strong>of</strong> correlation between experimental<br />

observations and properties <strong>of</strong> the substances involved. As with all modeling efforts,<br />

it is essential to make judicious simplifications at various levels. The efforts to date have<br />

given rise to several models, including the extended regular solution theory 1-3 and its modification,<br />

4 excess free energy model, 5-7 the phenomenological model, 8,9 modified Wilson<br />

model, 10,11 the combined nearly ideal binary solvent (NIBS) model, 12 the mixture response<br />

surface model, 13 and others. Many <strong>of</strong> these models, however, are considered to be more descriptive<br />

than predictive, because they inevitably involve one or more model parameters<br />

which are usually specific to a particular solute/solvent/cosolvent(s) system, and must be<br />

estimated from experimental data <strong>of</strong> solubility obtained for that system. On the other hand,<br />

purely empirical models, e.g., the double-log exponential equation, 14 aim at satisfying<br />

mathematical descriptions <strong>of</strong> measured data, and <strong>of</strong>ten <strong>of</strong>fer little insight to the process.<br />

Comparisons among cosolvency models have been made in several published papers. 15-19

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