Percolation model of electron and hole mobility in liquid mixtures

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Abstract
The theory of charge percolation, originally developed for inhomogeneous mixtures of metals, is transformed to describe mobility of electrons and holes in homogeneous liquid mixtures. Systems in which the energies of the charge carriers are independent of composition are expected to obey the predictions of this formalism. Here concentration fluctuations act as microscopic inhomogeneities. As examples, hole mobility in trans‐decaline–cyclohexane, and electron mobility in hexafluorobenzene–benzene and in n‐hexane–ethanol mixtures are treated. The number of molecules interacting with a charge carrier appears as an important parameter. Mobility versus concentration curves are calculated in the entire concentration range and are in good agreement with observations. Finally a method is proposed for estimating electron mobility in hexafluorobenzene.

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