- Title Pages
- Preface
- Acknowledgements
- Dedication
- 1 Introduction to conjugated polymers
- 2 <i>π</i>-electron theories of conjugated polymers
- 3 Noninteracting electrons
- 4 Electron-nuclear coupling I: Noninteracting electrons
- 5 Interacting electrons
- 6 Excitons in conjugated polymers
- 7 Electron-nuclear coupling II: Interacting electrons
- 8 Linear polyenes and <i>trans</i>-polyacetylene
- 9 Light emitting polymers
- 10 Exciton localization in disordered polymers
- 11 Optical processes in conjugated polymers
- 12 Excitonic processes in conjugated polymers
- 13 Epilogue
- Appendix ADirac bra-ket operator representation of one-particle Hamiltonians
- Appendix BElectron-hole symmetry and average occupation number
- Appendix CSingle-particle eigensolutions of a periodic polymer chain
- Appendix DThe Holstein model
- Appendix EDerivation of the effective-particle Schrödinger equation
- Appendix FHydrogenic solutions of the effective-particle exciton models
- Appendix GValence-bond description of benzene
- Appendix HDerivation of the Frenkel exciton Hamiltonian
- Appendix IEvaluation of the electronic transition dipole moments
- Appendix J Spin-orbit coupling in <i>π</i>-conjugated polymers
- Appendix KDerivation of the line dipole approximation
- Appendix LDirect configuration interaction-singles calculations for the Pariser-Parr-Pople model
- Appendix MDensity matrix renormalization group method
- Bibliography
- Index
Excitons in conjugated polymers
Excitons in conjugated polymers
- Chapter:
- (p.78) 6 Excitons in conjugated polymers
- Source:
- Electronic and Optical Properties of Conjugated Polymers
- Author(s):
William Barford
- Publisher:
- Oxford University Press
Excitons are the primary photo-excited states in conjugated polymers. This chapter develops effective-particle models of excitons in the weak and strong-coupling limits. Excitons are classified as being Mott-Wannier in the weak-coupling limit. This class includes Frenkel, charge-transfer, and Wannier excitons. An exciton wavefunction mapping is introduced that transforms configuration interaction amplitudes into real-space wavefunctions. Excitons are classified as being Mott-Hubbard in the strong-coupling limit. Finally, numerical calculations of the intermediate coupling regime are described.
Keywords: excitons, Mott-Wannier, Mott-Hubbard, Frenkel excitons, charge-transfer excitons, Wannier excitons, effective-particle models, exciton wavefunctions, configuration interaction
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- Title Pages
- Preface
- Acknowledgements
- Dedication
- 1 Introduction to conjugated polymers
- 2 <i>π</i>-electron theories of conjugated polymers
- 3 Noninteracting electrons
- 4 Electron-nuclear coupling I: Noninteracting electrons
- 5 Interacting electrons
- 6 Excitons in conjugated polymers
- 7 Electron-nuclear coupling II: Interacting electrons
- 8 Linear polyenes and <i>trans</i>-polyacetylene
- 9 Light emitting polymers
- 10 Exciton localization in disordered polymers
- 11 Optical processes in conjugated polymers
- 12 Excitonic processes in conjugated polymers
- 13 Epilogue
- Appendix ADirac bra-ket operator representation of one-particle Hamiltonians
- Appendix BElectron-hole symmetry and average occupation number
- Appendix CSingle-particle eigensolutions of a periodic polymer chain
- Appendix DThe Holstein model
- Appendix EDerivation of the effective-particle Schrödinger equation
- Appendix FHydrogenic solutions of the effective-particle exciton models
- Appendix GValence-bond description of benzene
- Appendix HDerivation of the Frenkel exciton Hamiltonian
- Appendix IEvaluation of the electronic transition dipole moments
- Appendix J Spin-orbit coupling in <i>π</i>-conjugated polymers
- Appendix KDerivation of the line dipole approximation
- Appendix LDirect configuration interaction-singles calculations for the Pariser-Parr-Pople model
- Appendix MDensity matrix renormalization group method
- Bibliography
- Index
