Abstract
The non-linear differential equations, relating concentration and electric potential profiles in inhomogeneous interfacial regions, resulting from the inclusion of the contributions from ion-ion interaction energy terms to the limiting expression for the chemical potential of an ion are presented. The analysis of these equations is shown to imply the necessary existence of a dielectric profile in the inhomogeneous region. The resulting relations between the surface charge density and the electric potential difference for the system are presented with illustrative numerical calculations. The magnitude of the inhomogeneous region is shown to extend up to 23 Å for a uni-normal electrolyte solution and to 75 Å for a 0.1 N solution of electrolytes, when the surface potential is about −50 mV with respect to the bulk solution. The calculation of the electric potential profile, the charge density profile and the concentration profile based on the assumed validity of an expression for dielectric profile is included.
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