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From Band to Hopping Diffusion of Excitons and Charge Carriers in Molecular Crystals: I. Principles
Author(s) -
Ĉápek V.,
Munn R. W.
Publication year - 1981
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221080229
Subject(s) - exciton , charge carrier , polaron , condensed matter physics , relaxation (psychology) , diffusion , charge (physics) , phonon , boltzmann equation , physics , boltzmann constant , interpolation (computer graphics) , chemistry , materials science , quantum mechanics , classical mechanics , electron , motion (physics) , psychology , social psychology
The diffusion coefficient is deduced for an exciton or charge carrier interacting with phonons in a perfect molecular crystal. The method derived is based on the generalized master equation description of the exciton or carrier kinetics. Correct results are obtained in both the band and the hopping limits, namely a Boltzmann‐like expression with a transport relaxation time where appropriate, and a polaron hopping formula, respectively. An interpolation between these two limits is also obtained.