Three point extension for hypernetted chain and other integral equation theories: Numerical results

In a previous paper [M. Lozada‐Cassou, J. Chem. Phys. 80, 3344 (1984)], we have proposed a three point extension for integral equation theories. Here we apply our formalism to the interaction of two charged plates of infinite extension, immersed in an electrolyte, and solve the three point extension to the hypernetted chain/mean spherical theory. We calculate the ionic profile around the plates and the pressure between the plates, as a function of distance between them, for a 1:1 and 2:2 electrolyte for different concentrations and potentials on the plates. We compare our results with the Verwey–Overbeek (VO) theory. We find excellent agreement with the VO theory for low potentials and concentrations. However, there is qualitative disagreement for higher potentials and/or concentrations. The interaction force between the plates becomes attractive at a sufficiently high potential and/or concentration. Since the VO force is always repulsive, in our theory the attraction is a consequence of the ionic size. A...

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