Theory of exciton migration experiments with imperfectly absorbing end detectors

Abstract
Experiments wherein excitons created at one end of a crystal through illumination are detected at the other end through capture and subsequent radiative emission by a detector layer have been often used to determine the diffusion constant of excitons. However, reported values span several orders of magnitude for similar or even identical systems. A theory of exciton migration which addresses this issue is constructed on the basis of an exact model calculation. It results in a possible explanation of the experimental situation in terms of the observation that the detectors are not perfect absorbers of excitons. We also indicate the effect of transport coherence on these experiments.

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