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化学学报
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化学学报 ›› 2002, Vol. 60 ›› Issue (5): 795-799. 上一篇    下一篇

研究论文

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   

  1. 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   

  1. 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

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被引次数

10 | 1

用泛函数分析理论中的迭代法求解了反胶束内关于双电层势的Poisson- Boltzmann（PB）方程，导出了泛电位下的第一、二次迭代的解析表达式。与 Debye-Huckel（DH）线性近似及计算机的数值解进行对比表明，迭代解不仅在低电 位条件下能与两者相符合，而且在高电位下与数值解在相吻合。

关键词: 胶束, 电势, 迭代法

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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