Explicit formulae for the ion and solvent profiles in the electric double layer using the mean spherical approximation

Abstract

Previously the mean spherical approximation integral equations have been solved analytically for a model double layer consisting of charged hard sphere ions and dipolar hard sphere solvent molecules near a flat charged hard wall. In that work, results for the double layer potential were obtained. However, no useful expressions for the ion and solvent profiles were given, although a few results for their Laplace transforms were stated, mostly without proof. In this paper we obtain formulae for these Laplace transforms at low concentrations and invert these expressions to obtain explicit formulae and numerical results. © 1990.