Abstract

Simple analytic expressions are derived for the electrostatic interaction energy between two charged colloidal particles in an electrolyte solution. The obtained expressions are based on an approximate form of the modified Poisson-Boltzmann equation taking into account the ion size effects through Carnahan-Starling activity coefficients of electrolyte ions. We derive the electrostatic interaction energy between two parallel plates on the basis of the linear superposition approximation. We further employ Derjaguin’s approximation to derive the corresponding expressions for the electrostatic interaction energy between two spheres, two parallel cylinders, or two crossed cylinders.

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