|Title:||Approximate Analytical Expression for Surface Potential as a Function of Surface Charge Density||Authors:||Hsu J.-P.
|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.
|Appears in Collections:||化學工程學系|
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