Lin Sung-Hwa, Hsu Jyh-Ping, Tseng Shiojenn, Chen Chur-Jen
Department of Chemical and Materials Engineering, National Ilan University, Ilan 26041, Taiwan.
J Colloid Interface Sci. 2005 Jan 1;281(1):255-7. doi: 10.1016/j.jcis.2004.08.035.
The conjecture of Tuinier (J. Colloid Interface Sci. 258 (2003) 45) for the electrical potentials near a cylindrical surface and near a spherical surface under the conditions of symmetric electrolyte and large scaled radius are derived by solving the corresponding Poisson-Boltzmann equation. The surface charge density-surface potential relations for these surfaces are also derived under the conditions of constant surface potential. We show that the level of surface charge density for planar, cylindrical, and spherical surfaces follows the order spherical surface > cylindrical surface > planar surface.
通过求解相应的泊松 - 玻尔兹曼方程，推导出了图尼尔（《胶体与界面科学杂志》258 (2003) 45）关于对称电解质和大尺度半径条件下圆柱面和球面附近电势的猜想。还推导了这些表面在恒定表面电势条件下的表面电荷密度 - 表面电势关系。我们表明，平面、圆柱面和球面的表面电荷密度水平遵循球面＞圆柱面＞平面的顺序。
