Mean spherical model for asymmetric electrolytes. 2. Thermodynamic properties and the pair correlation function

Abstract

It is shown that the excess thermodynamic properties calculated from the mean spherical approximation (via the energy integrals) for the primitive model of ionic mixtures, that is, electrolytes atid molten salts, can be expressed as functions of a single parameter . The expressions are quite simple, and for what we call low concentrations (up to 1 N of a simple salt) reduce to the same relations that Debye found for the finite size ions, only that 2 takes the place of the Debye length. The interpretation that 2 is in fact the correct screening parameter for finite size ions is borne by the asymptotic form of the pair correlation function at small densities.

From Structure to Function in Open Ionic Channels

“…5 of (Edsall & Wyman, 1958). (Berry et al, 1980;Bockris & Reddy, 1970;Conway et al, 1983;Davis & McCammon, 1990;Friedman, 1962;Friedman, 1985;Harned & Owen, 1958;Honig & Nichols, 1995;Newman, 1991;Robinson & Stokes, 1959;Schmickler, 1996) or their modern replacement, the Mean-Spherical-Approximation (MSA) theories (Bernard & Blum, 1996;Blum, 1975;Blum & Hoye, 1977;Hoye & Blum, 1978).…”

“…The properties of highly concentrated ionic solutions and mixtures in bulk solution can be quite complex and yet can be well described by a remarkable modern theory, called the MSA (mean spherical approximation) developed by many workers over the last few decades, but by Lesser Blum, more than anyone else (Bernard & Blum, 1996;Blum, 1975;Blum et al, 1996;Blum & Hoye, 1977;Durand-Vidal et al, 1996;Hoye & Blum, 1978). This is not the place, nor am I the person to review this theory.…”

“…Blum, 1975;Blum, 1994;Blum & Hoye, 1977;Durand-Vidal et al, 1996;Hoye & Blum, 1978) as described in the Mean Spherical Approximation (MSA) of physical chemistry. 0  Ca is described in PNP2 by a single number, at all concentrations, at all potentials and in all solutions as long as the pH does not change.…”

Phase coexistence in polydisperse multi-Yukawa hard-sphere fluid: High temperature approximation

“…Condition on the equality of the chemical potentials in two phases (21) can be written in terms of the excess values of the chemical potentials µ…”

Partitioning of hexavalent chromium in temperature-sensitive, polyelectrolyte hydrogels

“…The Mean Spherical Approximation (MSA) is the result of using an integral equation for the description of ion-ion interactions in the primitive model of electrolyte solutions (26,40,41). Unlike Debye-Htickel-type theories, all of the ions need not have the same diameter in the MSA.…”