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

作　　者：王正武 刘学民 俞惠新 周明 金坚 

机构地区：[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

出　　处：《Chinese Journal of Chemistry》2007年第6期849-856,共8页中国化学（英文版）

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）.

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,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,

关 键 词：cylindrical colloid particle electrical double layer Poisson-Boltzmann equation functional theory 

分 类 号：O648.123[理学—物理化学]