Influence of the coupled coherent and incoherent motion of triplet excitons on the ESR line shape in molecular crystals in the quasi-incoherent case
Identifieur interne : 002B94 ( Main/Exploration ); précédent : 002B93; suivant : 002B95Influence of the coupled coherent and incoherent motion of triplet excitons on the ESR line shape in molecular crystals in the quasi-incoherent case
Auteurs : P. Reineker [Allemagne]Source :
- Zeitschrift für Physik B Condensed Matter [ 0722-3277 ] ; 1975-12-01.
Abstract
Abstract: The exciton motion is described by the Hamiltonian of the Haken-Strobl-model, which contains a coherent and a fluctuating part, and which allows to represent the coupled coherent and incoherent motion of Frenkel excitons. The Hamiltonian of the spin motion contains the usual Zeeman term and fine structure terms of the various inequivalent molecules in the unit cell of the crystal. Starting from this Hamiltonian an exact infinite set of equations of motion for the correlation functions, describing the ESR line shape, is given. With the assumption that phase relations of the exciton motion decay rapidly, the number of this set of equations may be reduced considerably being now determined by the number of molecules within the unit cell and the dimension of the spin space under consideration. In this reduced set of equations the motion of the triplet excitons is described by an effective hopping rateΓ 1 between the inequivalent molecules within the unit cell, containing also a contribution of the coherent interaction.
Url:
DOI: 10.1007/BF01325402
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: The exciton motion is described by the Hamiltonian of the Haken-Strobl-model, which contains a coherent and a fluctuating part, and which allows to represent the coupled coherent and incoherent motion of Frenkel excitons. The Hamiltonian of the spin motion contains the usual Zeeman term and fine structure terms of the various inequivalent molecules in the unit cell of the crystal. Starting from this Hamiltonian an exact infinite set of equations of motion for the correlation functions, describing the ESR line shape, is given. With the assumption that phase relations of the exciton motion decay rapidly, the number of this set of equations may be reduced considerably being now determined by the number of molecules within the unit cell and the dimension of the spin space under consideration. In this reduced set of equations the motion of the triplet excitons is described by an effective hopping rateΓ 1 between the inequivalent molecules within the unit cell, containing also a contribution of the coherent interaction.</div>
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