Finite ion size effect on the force and energy of the double-layer interaction between two parallel similar plates at arbitrary separations in an electrolyte solution
Finite ion size effect on the force and energy of the double-layer interaction between two parallel similar plates at arbitrary separations in an electrolyte solution
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DOI：
10.1007/s00396-018-4436-2
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发表时间：
2018-11
影响因子：
2.4
通讯作者：
H. Ohshima
中科院分区：
文献类型：
--
作者：
H. Ohshima
在Carnahan和Starling导出的电解质离子活度系数的完整表达式的基础上，考虑有限离子尺寸效应，导出了电解质溶液中两个具有任意表面电荷密度或表面电位的平行相似平板之间在任意间距处的双层相互作用的力和能量的表达式.给出了两种双电层相互作用模型，即恒定表面电位模型和恒定表面电荷密度模型的计算结果。结果表明，在恒定的表面电位模型中，在大的板间距，双层相互作用力和能量的大小增加的总离子体积分数的增加，但这种趋势在小板间距逆转，而在恒定的表面电荷密度模型，它们总是增加的总离子体积分数的增加。
Expressions are derived for the force and energy of the double-layer interaction between two parallel similar plates with arbitrary surface charge densities or surface potentials at arbitrary separations in an electrolyte solution, by taking into account the finite ion size effect on the basis of the full expression of the activity coefficients of electrolyte ions derived by Carnahan and Starling. The results for two models of the double-layer interaction, that is, the constant surface potential and constant surface charge density models, are given. It is shown that in the constant surface potential model, at large plate separations, the magnitudes of the double-layer interaction force and energy increase as the total ion volume fraction increases but this tendency reverses at small plate separations, while in the constant surface charge density model, they always increase as the total ion volume fraction increases.