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Exact Treatment of the ESR Lineshape of Triplet Excitons in Molecular Crystals with Two Molecules per Unit Cell
Author(s) -
Reineker P.
Publication year - 1975
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.2220700118
Subject(s) - hamiltonian (control theory) , exciton , eigenvalues and eigenvectors , condensed matter physics , magnetic field , formalism (music) , physics , molecule , molecular physics , chemistry , quantum mechanics , mathematics , art , mathematical optimization , musical , visual arts
Abstract The motion of triplet excitons in molecular crystals with two inequivalent molecules per unit cell is treated as a hopping process, using the stochastic part of the Hamiltonian of the Haken‐Strobl model. The dynamics of the spin is described by the usual Hamiltonian, taking into account the fine structure interaction. Using a correlation function formalism, the line shape is calculated as a function of the frequency at fixed magnetic field and as a function of the magnetic field at fixed frequency. The relation between the eigenvalues of the correlation functions and the lineshape is discussed, and it is shown that the lineshape may be described approximately by four and two eigenvalues, if the hopping rate of the exciton is small and large, respectively.