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The electrophoresis of a spherical particle

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Abstract

The problem of predicting the electrophoretic velocity of a spherical charged particle in an infinite dielectric liquid containing impurities is re-examined. A model, somewhat different from those commonly used, is postulated, and the associated equations are formulated and are solved subject to certain approximations. The electrophoretic velocityU is found to be linear in the applied field and to vary algebraically in the parameterχ=ka.

Zusammenfassung

Das Problem der Voraussage der elektrophoretischen Wanderungsgeschwindigkeit kugelförmiger geladener Teilchen in einer unendlich ausgedehnten dielektrischen Flüssigkeit, die Verunreinigungen enthält, wird erneut überprüft. Ein Modell, etwas verschieden von den gewöhnlich angewandten, wird postuliert, und die entsprechenden Gleichungen werden formuliert und mit gewissen Näherungen gelöst. Die elektrophoretische Geschwindigkeit variiert linear mit dem angelegten Feld und ist eine algebraische Funktion des Parametersχ=ka.

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The research reported in this document was supported by Grants 4796 and 12164 of the National Science Foundation.

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Pickard, W.F. The electrophoresis of a spherical particle. Kolloid-Zeitschrift 179, 117–130 (1961). https://doi.org/10.1007/BF01520099

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