Specific Features of the Decay Kinetics of an Excited Singlet State Into a Pair of Triplet Excitons In Rubrene Crystals

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In this study, the specific features of the kinetics of singlet fission (SF)—i.e., spontaneous splitting of the excited singlet state into a pair of triplet (T) excitons (TT-pair)—in anisotropic molecular crystals are analyzed in detail. These features are known to be primarily determined by the TT-annihilation of the created TT-pairs (migrating in the crystals). In our analysis, the kinetics of annihilation-affected SF processes is described in the two-state model (TSM), in which the interaction of migrating T-excitons is associated with transitions between two kinetic states of TT-pairs: [TT]-state of coupled TT-pairs and [T+T]-state of freely migrating T-excitons. The TSM makes it possible to represent the effects of migration and interaction on SF-kinetics in terms of the lattice Green’s functions, for which the analytical formulas are obtained in this study. The TSM is applied to the analysis of SF-kinetics in the rubrene single crystals recently measured in a wide time range. The analysis provides detailed information on some characteristic kinetic properties of SF processes in anisotropic crystals. It is shown, for example, that the formation of the [TT]-state in the SF process results in some distortion of the shape of the SF kinetic dependence at short times (of the order of the primary-stage time of SF kinetics). Is also demonstrated that the anisotropy of T-exciton migration manifests itself in some characteristic features of SF kinetics at long times.

作者简介

A. Shushin

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Email: shushin@chph.ras.ru
Moscow, Russia

S. Umanski

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Email: shushin@chph.ras.ru
Moscow, Russia

Yu. Chaikina

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

编辑信件的主要联系方式.
Email: shushin@chph.ras.ru
Moscow, Russia

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