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The solvation shell in ionic solutions: variational mean spherical scaling approximation
 

Summary: The solvation shell in ionic solutions: variational mean spherical
scaling approximation
L. Bluma,b,*, E.S. Vela´zquezb,c
a
Department of Physics, University of Puerto Rico, P.O. Box 23343, Ro Piedras, PR 00931, USA
b
Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106-4030, USA
c
Department of Physics, University of Puerto Rico, Mayaguez Campus, P.O. Box 9016, Mayaguez, PR 00681-9016, USA
Received 3 December 1998; received in revised form 16 February 1999; accepted 2 July 1999
Abstract
The non-specific solvent effects in neutral dipolar (or better yet, effective dipolar) solvents were discussed in the literature
with success. However the situation is not so clear when the solvent is an electrolyte, where the reaction field approach is no
longer valid. In the present communication we present a theory based on the Mean Spherical Scaling Approximation in which
the system is encapsulated in a ionic cloud that is represented by an equivalent capacitor of shape determined by precise
prescriptions derived from exact relations and sum rules. The construction of the equivalent capacitor depends on the geometry
of the system, on the nature of the solvent and on the nature and concentration of the ions. The treatment proposed here satisfies
exact relations like the Stillinger­Lovett sum rules, the perfect screening sum rules, and the high and low coupling conditions
and constitutes an interpolation scheme between exact high density and low density limits in it simplest form. The calculation is
illustrated with an example of an ellipsoidal cavity. 1999 Elsevier Science B.V. All rights reserved.

  

Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara

 

Collections: Physics