An Integral Expression for the Electrical Potential Distribution for Charged Surfaces in Electrolyte Solutions
Resource
Journal of Colloid and Interface Science 188 (1): 193-200
Journal
Journal of Colloid and Interface Science
Journal Volume
188
Journal Issue
1
Pages
193-200
Date Issued
1997
Date
1997
Author(s)
Tseng, Ming-Tsan
Abstract
An analytical procedure is suggested for the resolution of the linearized Poisson-Boltzmann equation governing the electrical potential distribution of a charged surface in an electrolyte solution under the Debye-Huckel condition. An Integral expression based on the Green function of the linearized Poisson-Boltzmann equation is derived. The electrical potential distributions for the following cases are solved to illustrate the present method: an arbitrary-shaped thin surface, a porous (ion-penetrable) sphere bearing fixed charges, a rigid, planar surface covered by a porous membrane bearing fixed charges, and a rigid, nonuniformly charged planar surface.
Type
journal article
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