dorsal/arxiv
View SchemaTheory of the singlet exciton yield in light-emitting polymers
| Authors | William Barford |
|---|---|
| Categories | |
| ArXiv ID | physics/0410252 |
| URL | https://arxiv.org/abs/physics/0410252 |
| DOI | 10.1103/PhysRevB.70.205204 |
Abstract
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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"abstract": "This paper presents a possible explanation for the enhanced singlet exciton\nyield in light emitting polymers. We propose a theory of electron-hole\nrecombination via inter-molecular inter-conversion from inter-molecular weakly\nbound polaron pairs (or charge-transfer excitons) to intra-molecular excitons.\nThis theory is applicable to parallel polymer chains. A crucial aspect of the\ntheory is that both the intra-molecular and inter-molecular excitons are\neffective-particles, which are described by both a relative-particle\nwavefunction and a center-of-mass wavefunction. This implies two electronic\nselection rules. (1) The parity of the relative-particle wavefunction implies\nthat inter-conversion occurs from the even parity inter-molecular\ncharge-transfer excitons to the strongly bound intra-molecular excitons. (2)\nThe orthonormality of the center-of-mass wavefunctions ensures that\ninter-conversion occurs from the charge-transfer excitons to the lowest branch\nof the strongly bound exciton families, and not to higher lying members of\nthese families. The inter-conversion is then predominately a multi-phonon\nprocess, determined by the Franck-Condon factors. These factors are\nexponentially smaller for the triplet manifold than the singlet manifold\nbecause of the large exchange energy.",
"arxiv_id": "physics/0410252",
"authors": [
"William Barford"
],
"categories": [
"physics.chem-ph"
],
"doi": "10.1103/PhysRevB.70.205204",
"title": "Theory of the singlet exciton yield in light-emitting polymers",
"url": "https://arxiv.org/abs/physics/0410252"
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