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Structure of Exciton Bands in Crystalline Anthracene
Author(s) -
Davydov A. S.,
Sheka E. F.
Publication year - 1965
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.19650110238
Subject(s) - exciton , anthracene , excitation , resonance (particle physics) , crystal (programming language) , biexciton , chemistry , molecular physics , molecule , physics , atomic physics , condensed matter physics , quantum mechanics , photochemistry , computer science , programming language
An investigation is made of the dependence of the exciton energy, in an anthracene crystal, on the magnitude and direction of the quasi‐momentum in the two energy bands which correspond to the first electron excitation of the molecule. It is shown that the exciton band width, the exciton effective mass, and the magnitude of the “resonance splitting”, depend only on the direction of the quasi‐momentum but also on the dimension of the region where the interaction between the molecules occurs. The theory predicts a polarization of the exciton doublets and gives their position for the various directions of the exciton wave‐vector. From a comparison of theoretical and experimental values for the resonance splitting the radius of the effective molecular resonance interaction in the anthracene crystal is established to be of the order of 0.05 μm.