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On the maximum of the magnitude of the electrophoretic mobility of a spherical colloidal particle in an electrolyte solution

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Abstract

The magnitude of the electrophoretic mobility μ of a spherical colloidal particle in an electrolyte solution with κa > 3 (κ = the Debye-Hückel parameter of the electrolyte solution and a = particle radius), when plotted as a function of the particle zeta potential ζ, exhibits a maximum μ max at ζ = ζ max. Analytic expressions applicable for large κa (κa ≥ 30) are derived for μ max and ζ max for a spherical particle in a symmetrical electrolyte solution. Analytic expressions for μ max and ζ max are also derived for a spherical particle in a 2:1 or 1:2 electrolyte solution. Finally, it is to be noted that μ max and ζ max for a cylindrical particle of radius a when the particle is oriented perpendicular to the applied electric field are the same as those for a spherical particle of radius a for large κa (κa ≥ 30).

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Authors and Affiliations

  1. Faculty of Pharmaceutical Sciences, Tokyo University of Science, 2641 Yamazaki, Noda, Chiba, 278-8510, Japan

    Hiroyuki Ohshima

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  1. Hiroyuki Ohshima
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Correspondence to Hiroyuki Ohshima.

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Ohshima, H. On the maximum of the magnitude of the electrophoretic mobility of a spherical colloidal particle in an electrolyte solution. Colloid Polym Sci 294, 13–17 (2016). https://doi.org/10.1007/s00396-015-3756-8

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  • DOI: https://doi.org/10.1007/s00396-015-3756-8

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