The primitive model of the electric double layer: Nonsymmetric electrolytes

Abstract
We solve the inhomogeneous Ornstein–Zernike equation for the pair correlation functions together with the Lovett–Mou–Buff–Wertheim equation for the density profiles for charged hard spheres in the vicinity of a charged hard wall. This constitutes the so-called primitive model of the electric double layer. In this article, we consider 2-1 electrolytes (doubly charged positive ions and singly charged negative ions) near both positively and negatively charged surfaces. We use the hypernetted chain approximation to close the Ornstein–Zernike equation. Except for very high surface charge densities and low bulk concentrations, we obtain excellent agreement with the Monte Carlo data.