Hsu J.-P.Kuo Y.-C.2019-05-202019-05-20199500219797https://scholars.lib.ntu.edu.tw/handle/123456789/409427The 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.journal article10.1006/jcis.1995.10912-s2.0-0029267728https://www.scopus.com/inward/record.uri?eid=2-s2.0-0029267728&doi=10.1006%2fjcis.1995.1091&partnerID=40&md5=4e51026b6e8bf1bf51979a4ea04f42ef