Abstract
The general solution of the mean spherical approximation (MSA) for an arbitrary mixture of hard spherical ions and dipoles, in which the ions can be of different size, is found. This solution is given in terms of three parameters that are calculated by solving an algebraic equation. Two of these parameters are scaling parameters required to satisfy the general symmetry of the pair correlation functions, and are similar to the one introduced in the solution of the MSA for an ionic mixture in earlier work. For equal size and low ionic concentration, we get a rather explicit solution of the MSA, which is formally similar to the Waisman-Lebowitz solution of the restricted primitive model, but with a concentration-dependent dielectric constant.
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Supported in part through NSF grant 77-04597.
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Blum, L. Solution of the mean spherical approximation for hard ions and dipoles of arbitrary size. J Stat Phys 18, 451–474 (1978). https://doi.org/10.1007/BF01014518
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DOI: https://doi.org/10.1007/BF01014518