An Integral Expression for the Electrical Potential Distribution for Charged Surfaces in Electrolyte Solutions

✍ Scribed by Jyh-Ping Hsu; Ming-Tsan Tseng

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 248 KB
• Volume: 188
• Category: Article
• ISSN: 0021-9797
• DOI: 10.1006/jcis.1996.4743

✦ Synopsis

associated boundary conditions, and the type of electrolyte. An analytical procedure is suggested for the resolution of the In general, a nonlinear equation needs to be considered. If linearized Poisson-Boltzmann equation governing the electrical a surface is not highly charged, or if its surface potential is potential distribution of a charged surface in an electrolyte solution sufficiently low (the Debye-Huckel condition), the correunder the Debye-Huckel condition. An Integral expression based sponding PBE can be approximated by the Helmholtz equaon the Green function of the linearized Poisson-Boltzmann equation, the solution of which may be expressed as a linear tion is derived. The electrical potential distributions for the followcombination of harmonic functions (10-13). The Debyeing cases are solved to illustrate the present method: an arbitrary-Huckel condition is satisfactory for a surface potential on shaped thin surface, a porous (ion-penetrable) sphere bearing fixed the order of 25 mV. This may be violated for some of the charges, a rigid, planar surface covered by a porous membrane bearing fixed charges, and a rigid, nonuniformly charged planar charged surfaces in practice. Nevertheless, it is often adopted surface.