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Approximate analytic expressions for the electrophoretic mobility of spheroidal particles
Author(s) -
Ohshima Hiroyuki
Publication year - 2021
Publication title -
electrophoresis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.666
H-Index - 158
eISSN - 1522-2683
pISSN - 0173-0835
DOI - 10.1002/elps.202000197
Subject(s) - electrophoresis , electric field , particle (ecology) , zeta potential , constant (computer programming) , physics , charge density , exact solutions in general relativity , electric potential , electrophoretic light scattering , electrical mobility , distortion (music) , surface charge , classical mechanics , chemistry , quantum mechanics , scattering , nanoparticle , voltage , chromatography , light scattering , amplifier , oceanography , optoelectronics , cmos , computer science , programming language , geology
Approximate analytic expressions are derived for the electrophoretic mobility of spheroidal particles (prolate and oblate) carrying low zeta potential in an electrolyte solution under an applied tangential or transverse electric field. The present approximation method, which is based on the observation that the electrophoretic mobility of a particle is determined mainly by the distortion of the applied electric field by the presence of the particle. The exact expression for the equilibrium electric potential distribution around the particle, which can be expressed as an infinite sum of spheroidal wave functions, is not needed in the present approximation. The electrophoretic mobility values calculated with these approximate expressions for spheroidal particles with constant surface potential or constant surface charge density are in excellent agreement with the exact numerical results of previous reports with the relative errors less than about 4%.