Approximate Analytical Expressions for the Electrical Potential in a Cavity Containing Salt-Free Medium

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• 作者：Shiojenn Tseng ; Ning-Bew Wong ; Pen-Chun Liu ; Jyh-Ping Hsu
• 刊名：Langmuir
• 出版年：2007
• 出版时间：October 9, 2007
• 年：2007
• 卷：23
• 期：21
• 页码：10448 - 10454
• 全文大小：115K
• 年卷期：v.23,no.21(October 9, 2007)
• ISSN：1520-5827

文摘

The electrical potential in a closed surface such as a cavity containing counterions only is derived for the casesof constant surface potential and constant surface charge density. The results obtained have applications in, forexample, microemulsion-related systems in which ionic surfactants are introduced to maintain the stability of adispersion and electroosmotic flow-related analysis. An analytical expression for the electrical potential is derivedfor a planar slit, and the methodology used is modified to derive approximate analytical expressions for spherical andcylindrical cavities. The higher the surface potential, the better the performance of these expressions. For the casewhere the surface potential is above ca. 50 mV, the performance of the approximate analytical expressions can furtherbe improved by multiplying a correction function.