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Energy Transfer between Impurity Molecules of a Crystal in the Presence of Relaxation
Author(s) -
Davydov A. S.,
Serikov A. A.
Publication year - 1972
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.2220510103
Subject(s) - lambda , excitation , relaxation (psychology) , energy (signal processing) , resonance (particle physics) , acceptor , physics , atomic physics , energy transfer , impurity , density matrix , transfer (computing) , matrix (chemical analysis) , chemistry , condensed matter physics , quantum mechanics , chromatography , psychology , social psychology , quantum , parallel computing , computer science
The time dependence of the probability W( t ) of excitation energy transfer from the donor to the acceptor for various values of resonance interaction energy ( ħ L ), donor excitation energy relaxation time (γ −1 ), and the relaxation time (λ −1 ) of the vibrational part of acceptor excitation energy is found using the method of density matrix. It is shown that W (∞) = \documentclass{article}\pagestyle{empty}\begin{document}$ \frac{{\lambda \alpha ^2 }}{{(\lambda + \gamma)(1 + \alpha ^2)}}{\rm where } \alpha {\rm = }\frac{{{\rm 2|}L{\rm |}}}{{\sqrt {\gamma \lambda } }} $\end{document} . Thus, W (∞) is proportional to the square of resonance interaction energy at α ⪅ 0.2. However, W (∞) is approximately proportional to α with the values of α satisfying the inequality 0.2 ⪅ α ⪅ 1.7.