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Approximate analytic expression for the electrophoretic mobility of a cylindrical colloidal particle. Relaxation effect

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Abstract

An approximate expression is derived for the electrophoretic mobility μ ⊥ of an infinitely long cylindrical particle of radius a and zeta potential ζ oriented perpendicular to an applied electric field in an electrolyte solution. The obtained expression is applicable for cylinders with large radii such that κa≥ca. 30, where κ is the Debye–Hückel parameter. It is shown that the obtained mobility expression μ ⊥, which consists of Smoluchowski’s equation and the correction term of the order of exp(ze∣ζ∣/2kT)/κa (where z is the valence of counterions in the electrolyte solution, e is the elementary electric charge, k is Boltzmann’s constant, and T is the absolute temperature), coincides with the mobility expression for a sphere of radius a and zeta potential ζ correct to the order of exp(ze∣ζ∣/2kT)/κa.

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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. Approximate analytic expression for the electrophoretic mobility of a cylindrical colloidal particle. Relaxation effect. Colloid Polym Sci 292, 1227–1233 (2014). https://doi.org/10.1007/s00396-014-3171-6

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  • DOI: https://doi.org/10.1007/s00396-014-3171-6

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