Excess electrons in condensed media. A model for migration in dilute molecular solutions

A theoretical framework is developed for analyzing the migration of excess electrons in one-component molecular solids and liquids. The mean-square distance traveled by an electron as a function of time 〈r2〉t is shown to depend both upon the diffusion of the solvent molecules and the rate of hopping and tunneling of the electron from one molecule to another. By introducing several physically motivated approximations, the quantities appearing in the final expression for 〈r2〉t are expressed in terms of solvent structure information (distribution function) and the electron–solvent interaction potential. Planned extensions of this initial work are also discussed.