The generalized-master-equation theory of sensitized luminescence in molecular crystals is extended to cover arbitrary guest concentrations by making use of a recently introduced formalism. Central to the formalism is a quantity termed the ν function, which is an ensemble average of the sum of host propagators over guest-influenced host sites. A variety of experimentally relevant sensitized luminescence observables, such as the host (and guest) luminescence intensity, the quantum yields, and the energy-transfer rates are simply related to the ν function. It is shown how the latter can be calculated for exciton motion possessing an arbitrary degree of coherence, dimensionality, and other transport characteristics, and for guest-molecule placement represented by any given pair correlation function. Specific cases are treated and results, some exact and others approximate, are presented for experimental observables.
V. M. Kenkre and P. E. Parris, "Exciton Trapping and Sensitized Luminescence: A Generalized Theory for All Trap Concentrations," Physical Review B, vol. 27, no. 6, pp. 3221-3234, American Physical Society (APS), Mar 1983.
The definitive version is available at http://dx.doi.org/10.1103/PhysRevB.27.3221
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