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dc.contributor.author钱勇先zh_CN
dc.contributor.author邓皓zh_CN
dc.contributor.author杨光正zh_CN
dc.contributor.authorQian Yongxian zh_CN
dc.date.accessioned2013-11-18T07:43:50Z
dc.date.available2013-11-18T07:43:50Z
dc.date.issued1997-08-28zh_CN
dc.identifier.citation电化学,1997,3(03):244-251.zh_CN
dc.identifier.issn1006-3471zh_CN
dc.identifier.urihttps://dspace.xmu.edu.cn/handle/2288/57293
dc.description.abstract多电解质溶液中带电胶体粒子的电势分布由球形Poisson-Boltzmann方程(PBE)描述.PBE是一个非线性的微分方程,且难以求得其解析解.本文采用非线性P-B积分方程,计算电势分布的数值解.首先,根据静电场和热力学系统中的物理定理,导出描述电势分布的P-B积分方程(PBIE);其次,用迭代方法求PBIE的数值解.最后,计算了在3-1型电解液中无量纲半径κa分别为0.12和0.22,无量纲表面电势ξ分别为1,2,4,6时球形胶体粒子外部的电势值.为了检验数值解的精度,计算了表面电荷密度,并与Loeb(1961)和Oshima(1995)等人的结果比较,本文结果的相对误差小于1%,优于Oshima的结果.zh_CN
dc.description.abstractThe electrical potential distribution around a charged colloidal particle in a solution of general electrolytes is governed by the nonlinear Poisson Boltzmann equation, which is a differential equation and difficult to solve analytically. In this paper we numerically calculate the electrical potential using nonlinear Qian Poisson Bolazmann integral equation (PBIE). First, we introduce the PBIE derived from the physical principles for electrostatic fields and thermodynamic systems. Then the PBIE is numerically solved by means of iteration, in which the discrete potential is solely used. Finally, the accuracy of the numerical solutions proposed here is discussed. The potentials for the colloidal particles with scaled radius κa of 0.1 2 and 0.22 are obtained in the case that scaled surface potential eζ/kT is equal to 1,2,4, and 6, respectively. The surface charge densities are also calculated to be compared with the accurate numerical solutions in 3-1 electrolyte given by Loeb et al (1961) and Oshima (1995). Excellent agreement is achieved. The relative errors of surface charge densities between the compared solutions are less than 1.0%.zh_CN
dc.language.isozhzh_CN
dc.publisher厦门大学《电化学》编辑部zh_CN
dc.relation.ispartofseries研究论文zh_CN
dc.relation.ispartofseriesArticleszh_CN
dc.source.urihttp://electrochem.xmu.edu.cn/CN/abstract/abstract9549.shtmlzh_CN
dc.subject电势分布zh_CN
dc.subject胶体粒子zh_CN
dc.subject双电层zh_CN
dc.subjectPoisson-Boltamann方程zh_CN
dc.subject积分方程zh_CN
dc.subject数值解zh_CN
dc.subjectElectrical potential distributionzh_CN
dc.subjectColloidal particlezh_CN
dc.subjectGeneral electrolytezh_CN
dc.subjectElectrical double layerzh_CN
dc.subjectPoisson Boltzmann equationzh_CN
dc.subjectIntegral equationzh_CN
dc.titleElectrical Potential Distribution around a Charged Colloidal Particle: Nonlinear Integral Equationzh_CN
dc.title.alternativeElectrical Potential Distribution around a Charged Colloidal Particle: Nonlinear Integral Equationzh_CN
dc.typeArticlezh_CN
dc.description.note作者联系地址:江汉石油学院地球物理勘探系,江汉石油学院化学工程系zh_CN
dc.description.noteAuthor's Address: Dept. of Geophys. Exploration, Jianghan Petroleum Inst., Jingzhou, Hubei 434102 Deng Hao, Yang Guangzheng Dept. of Chem. Engin. Jianghan Petroleum Inst., Jingzhou, Hubei 434102zh_CN


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