The electrostatic interactions between two corrugated charged planes

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Title:	The electrostatic interactions between two corrugated charged planes
Authors:	Tsao,HK
Contributors:	化學工程與材料工程學系
Keywords:	POISSON-BOLTZMANN EQUATION;2 DISSIMILAR SPHERES;SURFACE-CHARGE;CURVATURE ELASTICITY;ELECTROLYTE SOLUTION;LAMELLAR PHASES;MEMBRANES;PLATES;ORIENTATION;PARTICLE
Date:	1999
Issue Date:	2010-06-29 17:29:17 (UTC+8)
Publisher:	中央大學
Abstract:	The surfaces of association colloids often undergo undulating motion due to thermal fluctuations. The electrostatic interactions between two charged planes of arbitrary corrugation are investigated on the basis of the Poisson-Boltzmann equation under the Debye-Huckle approximation. The surfaces are parallel and subject to the spatial periodicity of the amplitude A and wavelength q(-1). When the amplitude is small compared to the wavelength, i.e., (qA)(2) much less than 1, the electric field can be calculated by using the perturbation method. The interaction free energy is then obtained for surfaces associated with the condition of either constant surface potential or constant surface charge density during interactions. The effects of the amplitude and phase angle on the interaction energy are discussed and asymptotic expressions are obtained when the mean separation is large compared to the amplitude. At the same mean separation, the interaction energy for the corrugated surfaces is always higher than that for the planar surfaces. In other words, undulation enhances the electrostatic repulsion. The repulsive energy is minimum when the two surfaces are in-phase and maximum for the out-of-phase mode. (C) 1999 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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