https://scholars.lib.ntu.edu.tw/handle/123456789/409427
Title: | Approximate Analytical Expression for Surface Potential as a Function of Surface Charge Density | Authors: | Hsu J.-P. Kuo Y.-C. |
Issue Date: | 1995 | Journal Volume: | 170 | Journal Issue: | 1 | Start page/Pages: | 220-228 | Source: | Journal of Colloid And Interface Science | Abstract: | The surface potential is derived as a function of surface charge density for a nonplanar solid surface immersed in an arbitrary a:b electrolyte solution. This relation is essential to the evaluation of the basic thermodynamic properties of an electrical double layer. The approximate analytical expression is based on a perturbation method characterized by the following ratio: radius of a surface/thickness of a double layer. An attempt is also made to take the inverse of the surface-charge density-surface potential relation for a spherical surface immersed in both 1:1 and 1:2 electrolyte solutions as reported by H. Ohshima, T. W. Healy, and L. R. White (J. Colloid Interface Sci.90, 17, 1982). For a 1:1 electrolyte solution, the maximum deviation from the exact value is on the order of 3% for a double layer of thickness smaller than one half the radius of a surface, and this is almost independent of the magnitude of surface charge density. For a 1:2 electrolyte solution, the maximal deviation appears to increase slightly with surface charge density. At a relatively low surface charge density, the deviation is on the order of 3% for a double layer having thickness less than one-half the radius of a sphere, and it is on the order of 5% at a relatively high surface charge density. ? 1995 by Academic Press, Inc. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/409427 | ISSN: | 00219797 | DOI: | 10.1006/jcis.1995.1091 |
Appears in Collections: | 化學工程學系 |
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