Electrostatic interactions of a string-like particle with a charged plate

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Title:	Electrostatic interactions of a string-like particle with a charged plate
Authors:	Tsao,HK
Contributors:	化學工程與材料工程學系
Keywords:	2 DISSIMILAR SPHERES;SPHERICAL COLLOIDAL PARTICLES;NEMATIC PHASE-TRANSITION;POISSON-BOLTZMANN THEORY;MONTE-CARLO;POLY-ELECTROLYTES;IMAGE-INTERACTION;ADSORPTION;POLYELECTROLYTES;ELECTROPHORESIS
Date:	1998
Issue Date:	2010-06-29 17:29:39 (UTC+8)
Publisher:	中央大學
Abstract:	The electrostatic interactions for a string-like particle with a charged plate are investigated on the basis of the Poisson-Boltzmann equation under the Debye-Huckel approximation. During the interaction, the plate is assumed to be with constant surface potential or constant surface charge density. The interaction energy is found to consist of two terms. The first term is simply the result of Gouy-Chapman theory, and it is the work required to insert a ghost particle into the undisturbed electric field established by the electrolyte solution and the charged wall. The second term represents the interaction between the particle and its image with respect to the plate. The interaction energy, which is nondimensionalized by Q Psi(p0), depends on the distance between the particle and the plate, the contour length, and the orientation of the particle. Q is the total charge carried by the particle, and Psi(p0) is the undisturbed surface potential. At short distance, the relative importance of the image to the plate contribution grows with increasing kappa Q/Psi(p0). For Q Psi(p0) > 0, the interaction can become attractive if kappa Q/Psi(p0),o is large enough. Here kappa(-1) is the Debye screening length. The results have been applied to fiber- and ring-like particles. Analytical expressions are obtained in some limiting cases. The free energy contributions due to the plate and the image are maxima when the plane containing the fiber or the ring is perpendicular to the wall. The effect of nonuniform charge distribution of the fiber has also been discussed. (C) 1998 Academic Press.
Relation:	JOURNAL OF COLLOID AND INTERFACE SCIENCE
Appears in Collections:	[National Central University Department of Chemical & Materials Engineering] journal & Dissertation

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