Abstract
Closed-form analytical time-dependent solutions of the Debye-Smoluchowski equation with a general spherical interaction are obtained for the important cases of geminate and homogeneous recombination by diffusional drift in a gas of liquid medium. A relationship between the time-dependent probability for recombination or escape in geminate recombination and the transient rate for homogeneous recombination is established. An expression for the rate of decay of emitted intensity in fluorescence quenching is also derived.

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