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蒙特卡罗研究具有偏心电荷的离子形成的平面电双层。

Monte Carlo Study of a Planar Electric Double Layer Formed by Ions with Off-Center Charge.

机构信息

Faculty of Chemistry, Adam Mickiewicz University in Poznań , Umultowska 89b, 61-614 Poznań, Poland.

Laboratory of Theoretical Physics, Department of Physics, University of Puerto Rico , San Juan, Puerto Rico 00931-3343.

出版信息

Langmuir. 2017 Oct 24;33(42):11554-11560. doi: 10.1021/acs.langmuir.7b01677. Epub 2017 Jul 27.

Abstract

Grand canonical Monte Carlo simulation results are reported for an electric double layer (EDL) modeled by a planar charged hard wall, hard sphere cations with an off-center charge, and spherical anions with a charge at the center of the sphere. The ion charge numbers are Z = +1 and Z = -1, and the diameter, d, of a hard sphere is the same for anions and cations. The ions are immersed in a solvent mimicked by a continuum dielectric medium at standard temperature. The results are obtained for three values of charge displacement, s = d/16, d/4, 7d/16 from the center of the sphere and the following electrolyte concentrations: 0.5, 1.0, 2.0, and 3.0 M. The profiles of electrode-ion singlet distributions, cation reduced charge density, angular function, and mean electrostatic potential are reported for an electrode surface charge density σ = -0.30 C m, whereas the electrode potential and the differential capacitance of EDL are shown as functions of the electrode charge density varying from -1.00 to +1.00 C m. At negative electrode charges and with increasing values of the charge separation, the differential capacitance curve rises. As the electrolyte concentration increases, the shape of the differential capacitance curve changes from that of a minimum surrounded by two maxima into that of a distorted single maximum.

摘要

本文报道了一个电双层(EDL)的巨正则蒙特卡罗模拟结果,该电双层由一个带电荷的平面硬壁、一个偏离中心的带电荷硬球阳离子和一个位于球体中心的带电荷球体阴离子组成。离子电荷数 Z = +1 和 Z = -1,硬球的直径 d 对阴离子和阳离子相同。离子沉浸在标准温度下的连续介电介质模拟的溶剂中。结果是针对三个电荷位移值 s = d/16、d/4 和 7d/16 从球体中心获得的,以及以下电解质浓度:0.5、1.0、2.0 和 3.0 M。对于电极表面电荷密度 σ = -0.30 C m,报告了电极离子单态分布、阳离子还原电荷密度、角函数和平均静电势的轮廓,而电极电势和 EDL 的微分电容则显示为电极电荷密度从-1.00 到+1.00 C m 的变化函数。在负电极电荷和增加的电荷分离值的情况下,微分电容曲线上升。随着电解质浓度的增加,微分电容曲线的形状从被两个最大值包围的最小值变为扭曲的单个最大值。

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