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An analytical expression for the scavenging probability of a geminate pair interacting with a general potential in the presence of an external electric field is derived for both small scavenger concentrations and small field strengths. The derivation is based on the method of matched perturbation solutions of the differential equation satisfied by the recombination probability. The expression includes as an integral part the rate constant observed for reaction of the geminate partners in the bulk. Agreement of the expression with the exact ones is found when it is applied to ion recombination and recombination of the electron photodetached from an anion.
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Hisatake Sano (1983) studied this question.
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