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The article deals with the influence of reversible excitation energy transfer on the fluorescence decay in systems with random distribution of molecules. On the basis of a hopping model, we have obtained an expression for the Laplace transform of the decay function and an expression for the average decay time. The case of dipole-dipole interaction is discussed in detail.

A formula for the donor photoluminescence decay time in its dependence on the concentrations of donor D and acceptor A has been derived from equations for the non-radiative excitation energy transfer between randomly distributed donor and acceptor molecules within a nonactive medium. In the limit [D]/[A] → 0 the formula becomes identical with that of Galanin [7], while in the absence of concentration quenching the fluorescence decay time does not depend on the concentrations.