Oscillator strength of exciton transitions in molecular crystals

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Abstract
An exact formula is derived for the oscillator strength of exciton transitions in molecular crystals and compared with an approximate one used in earlier calculations. The new formula satisfies a sum rule. Where exciton interactions are weak (small frequency shifts) the two formulas give essentially the same results. However for states experiencing stronger interactions the results differ by as much as a factor of three in one case examined.

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