B. Jamnik et V. Vlachy, ION PARTITIONING BETWEEN CHARGED MICROPORES AND BULK ELECTROLYTE SOLUTION - MIXTURES OF MONOVALENT AND DIVALENT COUNTERIONS AND MONOVALENT CO-IONS, Journal of the American Chemical Society, 117(30), 1995, pp. 8010-8016
The exclusion of mixed electrolytes from charged and uncharged cylindr
ical capillaries is studied using the grand canonical Monte Carlo meth
od and the Poisson-Boltzmann equation. Concentration profiles inside t
he capillary, the Donnan exclusion coefficient, the separation factor,
and concentration fluctuations were evaluated for a system with a mix
ture of divalent and monovalent counterions and monovalent co-ions. Th
e electrolyte is treated in the restrictive primitive model approximat
ion. All these quantities are studied as a function of the composition
of the bulk external electrolyte. The calculations apply to a range o
f surface charge densities and to two values of the total ionic streng
th. The simulation results are compared with the predictions of the Po
isson-Boltzmann approximation and the ideal Donnan theory. Both approx
imate theories grossly overestimate the ability of a micropore to excl
ude electrolytes. For higher concentrations of divalent counterions pr
esent in the system the Poisson-Boltzmann theory yields incorrect resu
lts. We present a comparison with the experimental data for charged me
mbranes immersed in a mixed KCl/CaCl2 solution.