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Study on Electric Double Layer of a Cylindrical Particle with Functional Theoretical Approach

ISSN号：1001-604X
期刊名称：中国化学(英文版)
时间：0
页码：849-856
语言：中文
分类：O648.123[理学—物理化学;理学—化学]
作者机构：[1]Department of Food Science & Technology, School of Agriculture and Biology, Shanghai Jiaotong University, Shanghai 201101, China, [2]School of Chemical and Material Engineering Southern Yangtze University, Wuxi, Jiangsu 214036, China, [3]Key Laboratory oflndustrial Biotechnology of Ministry of Education, Southern Yangtze University, Wuxi, Jiangsu 214036, China
相关基金：Project supported by the National Natural Science Foundation of China （Nos. 20676051, 20573048 and 20473034） and the 0pen Project Program of the Key Laboratory of Industrial Biotechnology, Ministry of Education （No. KLIB-KF200504）.
相关项目：基于二维晶格模型的混合表面活性剂协同效应

关键词：圆柱形胶体颗粒, 双层带电结构, 官能理论, POISSON-BOLTZMANN方程, cylindrical colloid particle, electrical double layer, Poisson-Boltzmann equation, functional theory

中文摘要：

一个新方法，即在功能的理论的反复的方法，被介绍解决经分解在为在一个对称的电解质答案的一个控告的圆柱的胶体粒子的电的双层的一般潜在的状况下面的非线性的 Poisson-Boltzmann (PB ) 方程。反复的答案与离子 c 的答案 parameters:the 集中从粒子的轴被表示为距离的功能，在联合起来的长度 m 的离子的聚集数字，绝缘的经常的 T，系统温度 T 等等。相对错误仅仅通常显示出那第一并且第二个反复的答案能比 97% 高给精确性。从第二个反复的解决方案，半径和柱体的表面潜力被定义，相应的值与解决方案参数被估计了。而且，费用密度，离子的活动系数和溶剂的渗透的系数也被讨论。

英文摘要：

A new method, i.e. the iterative method in functional theory, was introduced to solve analytically the nonlinear Poisson-Boltzmann （PB） equation under general potential ψ condition for the electric double layer of a charged cylindrical colloid particle in a symmetrical electrolyte solution. The iterative solutions of ψ are expressed as functions of the distance from the axis of the particle with solution parameters： the concentration of ions c, the aggregation number of ions in a unit length m, the dielectric constant e, the system temperature T and so on. The relative errors show that generally only the first and the second iterative solutions can give accuracy higher than 97%. From the second iterative solution the radius and the surface potential of a cylinder have been defined and the corresponding values have been estimated with the solution parameters, Furthermore, the charge density, the activity coefficient of ions and the osmotic coefficient of solvent were also discussed,

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