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Multiply associating electrolytes in the binding mean spherical approximation: thermodynamic properties and
O Bernard1, J Torres-Arenas2, J-P Simonin1
1Laboratoire Physicochimie des Electrolytes, Colloïdes et Sciences Analytiques, PECSA (UMR CNRS 7195), Université P. M. Curie, Case 51, 4 Place Jussieu, 75252 Paris Cedex 05, France.
This study introduces the binding mean spherical approximation (BiMSA) to model ionic solutions with multiple associations. The BiMSA model provides accurate analytical expressions for thermodynamic properties and ion complexation in these solutions.
Area of Science:
- Physical Chemistry
- Theoretical Chemistry
- Thermodynamics
Background:
- Understanding ionic solutions is crucial in various chemical and biological processes.
- Modeling complexation equilibria in ionic solutions presents significant theoretical challenges.
Purpose of the Study:
- To develop and present the binding mean spherical approximation (BiMSA) for ionic solutions with multiple association sites.
- To derive analytical expressions for thermodynamic and speciation properties within this framework.
Main Methods:
- Application of the Wertheim formalism within the primitive model at the McMillan-Mayer level.
- Stepwise complexation-equilibria to describe ion pairing and complex formation.
- Derivation of analytic expressions for Helmholtz energy, internal energy, speciation, and coefficients.
Main Results:
- Analytic expressions for Helmholtz energy, internal energy, and speciation were derived for binary solutions with polyions and counterions.
- The binding mean spherical approximation (BiMSA) was applied to model multiple ionic associations.
- Mean field expressions from SAFT-type theories showed good agreement with BiMSA for speciation and remarkable agreement for osmotic coefficients.
Conclusions:
- The binding mean spherical approximation (BiMSA) offers a robust theoretical framework for studying ionic solutions with complex association behavior.
- The derived analytic expressions provide valuable tools for predicting thermodynamic and speciation properties.
- The agreement between BiMSA and SAFT-type theories validates the approximate methods for modeling these systems.
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