Fractional dimension analysis of self-trapped Frenkel excitons in molecular microcrystallites

The concept of fractional dimension is introduced to analyze self-trapped e xciton characteristics in organic crystallites of various shapes since the concept of the integral dimension is not always applied satisfactorily to c rystallites of finite side lengths. The theory is based on the tight-bindin g approach. It is shown that anomaly in self-trapping appears when the frac tional dimension is close but a little larger than the integral dimension. (C) 2000 Elsevier Science B.V. All rights reserved.