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Interaction of Dissimilar Plane Parallel Double Layers at Arbitrary Potential

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Abstract

The elliptic integrals related to the interaction between two dissimilar parallel plates (the potentials on two plates have the opposite sign) are expanded in the series for the smaller surface potential y 0 (or ¦y d ¦) and the smaller integration constant C as well as the larger surface potential and the larger integration constant, respectively. The number of series terms required to obtain the interaction with six significant digits is not more than 5 when the surface potential is less than or equal to 20 if the series being fit for smaller y 0 and C is combined with the series being fit for larger y 0 and C. The approximate expressions with different precision can be obtained by retaining different number of series terms. The results of Devereux O. F. and de Bruyn P. L. are discovered to be incorrect when absolute value of the surface potential is very large or the integration constant is very large or very small.

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Authors and Affiliations

  1. College of Chemistry & Chemical Engineering Central South University, Changsha, Hunan, China

    Shimin Zhang

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  1. Shimin Zhang
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__________

From Kolloidnyi Zhurnal, Vol. 67, No. 5, 2005, pp. 613–622.

Original English Text Copyright © 2005 by Shimin Zhang.

The text was submitted by the author in English.

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Zhang, S. Interaction of Dissimilar Plane Parallel Double Layers at Arbitrary Potential. Colloid J 67, 554–563 (2005). https://doi.org/10.1007/s10595-005-0133-1

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  • DOI: https://doi.org/10.1007/s10595-005-0133-1

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