A Functional Theoretical Approach to the Electrical Double Layer of a Spherical Reverse Colloid Particle

Acta Chimica Sinica ›› 2002, Vol. 60 ›› Issue (5): 795-799. Previous Articles Next Articles

Original Articles

泛函数迭代法求解反胶束内双电层电势

王正武;李干佐;易希章;关大任;娄安境

山东大学,济南(250100);山东大学理论化学研究所,济南(250100)

发布日期:2002-05-15

A Functional Theoretical Approach to the Electrical Double Layer of a Spherical Reverse Colloid Particle

Wang Zhengwu;Li Ganzuo;Yi Xizhang;Guan Daren;Lou Anjing

Key Laboratory of Colloid and Interface Chemistry for State Education Ministry,Jinan(250100);Institute of Theoretical Chemistry, Shandong University,Jinan(250100);Langmuir Center for Colloids and Interfaces, Columbia University

Published:2002-05-15

Abstract

With the help of the iterative technique in functional analysis, the nonlinear Poisson-Boltzmann (PB) equation for the electrostatic double layer for inside of a spherical reverse colloid particle has been solved analytically under general potential condition and the corresponding expressions for the first as well as the second iterative solutions also have been deduced. Compared with the Debye- Huchel (DH) approximation and the numerical method, both the iterative solutions are identical with the results of the DH approximation and the numerical method under low potential condition. Moreover, they fit much better than the DH approximation to the precise numerical results for high potential.

Key words: MICELLE, ELECTRIC POTENTIAL, ITERATION METHOD

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Cite this article

Wang Zhengwu;Li Ganzuo;Yi Xizhang;Guan Daren;Lou Anjing. A Functional Theoretical Approach to the Electrical Double Layer of a Spherical Reverse Colloid Particle[J]. Acta Chimica Sinica, 2002, 60(5): 795-799.

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泛函数迭代法求解反胶束内双电层电势

A Functional Theoretical Approach to the Electrical Double Layer of a Spherical Reverse Colloid Particle

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