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Study on the Radius of an Electrical Spherical Micelle: Functional Theoretical Approach
Author(s) -
Wang ZhengWu,
Huang DongYang,
Yi XiZhang,
Li GanZuo
Publication year - 2004
Publication title -
chinese journal of chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.28
H-Index - 41
eISSN - 1614-7065
pISSN - 1001-604X
DOI - 10.1002/cjoc.20040220414
Subject(s) - chemistry , radius , poisson–boltzmann equation , aggregation number , micelle , dielectric , ion , particle (ecology) , molecular physics , atomic physics , quantum mechanics , critical micelle concentration , physics , organic chemistry , oceanography , computer security , aqueous solution , computer science , geology
For the purpose of eliminating restriction, the Poisson‐Boltzmann (PB) equation, which represents the potential of the electrical double layer of spherical micelles, can be solved analytically only under the lower potential condition, a kind of iterative method in functional analysis theory has been used. The radius of the spherical particle can be obtained from the diagram of the second iterative solution of the potential versus the distance from the center of the particle. The influences of the concentration of the ions, the charge number of ions, the aggregation number of the particle, the dielectric constant of solvent and the temperature of system on the radius also have been studied.