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Effect of an external electric field on the diffusion-influenced geminate reversible reaction of a neutral particle and a charged particle in three dimensions. IV. Excited-state ABCD reaction.

In the presence of an external electric field, an excited-state A + B(*q) <−> C(*q) + D diffusion-influenced geminate reversible reaction of a neutral particle and a charged particle, with two unimolecular decay rates and contact quenching processes, is investigated in three dimensions. The probability density functions to find individual particles, rates of reactions, and survival probabilities are analytically derived in the Laplace domain and the long-time kinetics is resolved. The probability density functions to find the particles and the rates of reactions in a scaled form exhibit a kinetic transition behavior from a t(-3/2) power law to t(-3/2)e(t) increase with the increase of external fields. The scaled survival probabilities present a kinetic transition behavior of t(-3/2) → constant → exponential with the increase of field strengths. The critical fields are found to determine the kinetic transition behaviors.