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arXiv physics/0410252physics.chem-ph
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发光聚合物中的单重态激子产额理论

Theory of the singlet exciton yield in light-emitting polymers

William Barford

摘要:

本文对发光聚合物中单重态激子产率的提高提出了一种可能的解释。我们提出了一个电子-空穴复合的理论,通过分子间弱束缚极化子对(或电荷转移激子)到分子内激子的分子间相互转换。该理论适用于平行聚合物链。该理论的一个重要方面是,分子内和分子间激子都是有效粒子,可以用相对粒子波函数和质心波函数来描述。这意味着两个电子选择规则。(1)相对粒子波函数的宇称意味着从偶宇称的分子间电荷转移激子到强束缚的分子内激子发生相互转换。(2)质量中心波函数的正交性确保了从电荷转移激子到强束缚激子家族的最低分支发生相互转换,而不是这些家族的更高成员。相互转换主要是一个多声子过程,由弗兰克-康登因子决定。这些因素是指数小于三重态歧管比单重态歧管,因为大的交换能。

英文摘要:

This paper presents a possible explanation for the enhanced singlet exciton yield in light emitting polymers. We propose a theory of electron-hole recombination via inter-molecular inter-conversion from inter-molecular weakly bound polaron pairs (or charge-transfer excitons) to intra-molecular excitons. This theory is applicable to parallel polymer chains. A crucial aspect of the theory is that both the intra-molecular and inter-molecular excitons are effective-particles, which are described by both a relative-particle wavefunction and a center-of-mass wavefunction. This implies two electronic selection rules. (1) The parity of the relative-particle wavefunction implies that inter-conversion occurs from the even parity inter-molecular charge-transfer excitons to the strongly bound intra-molecular excitons. (2) The orthonormality of the center-of-mass wavefunctions ensures that inter-conversion occurs from the charge-transfer excitons to the lowest branch of the strongly bound exciton families, and not to higher lying members of these families. The inter-conversion is then predominately a multi-phonon process, determined by the Franck-Condon factors. These factors are exponentially smaller for the triplet manifold than the singlet manifold because of the large exchange energy.

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