Analytical expressions for the electrical potential near planar, cylindrical, and spherical surfaces for symmetric electrolytes.

Analytical expressions for the electrical potential near planar, cylindrical, and spherical surfaces for symmetric electrolytes.
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DOI:
10.1016/j.jcis.2004.08.035
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发表时间:
2005
影响因子:
9.9
通讯作者:
Sung-Hwa Lin;J. Hsu;S. Tseng;Chur-Jen Chen
Sung-Hwa Lin;J. Hsu;S. Tseng;Chur-Jen Chen
中科院分区:
化学1区
文献类型:
--
作者:
Sung-Hwa Lin;J. Hsu;S. Tseng;Chur-Jen Chen

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通过求解相应的泊松-玻尔兹曼方程,导出了在对称电解质和大尺度半径条件下圆柱表面和球面附近电位的Tuinier猜想(J.胶体界面科学,258(2003)45)。在表面电位恒定的条件下,导出了这些表面的表面电荷密度与表面电位的关系。我们证明了平面、圆柱和球面的表面电荷密度水平遵循球面>圆柱面>平面的顺序。
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.