Abstract
Recent fluorescence lifetime studies suggest that for many molecular systems decay processes may most appropriately be described by a distribution of excited state rate constants. A convenient formalism for describing these processes is outlined. The decay rate for a system with a continuum of excited states can be identified with the one-sided Laplace transform of the corresponding excited state probability distribution function. It is also shown, by explicit calculation, that the decay kinetics for a continuous distribution of fluorescing species cannot be well approximated by a finite number of discrete decay modes.
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