## Conjugated Conducting Polymers |

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Page 64

197 ] . d ) Numerical Many - Body Methods for

many - body problem in correlated electron theories requires , as noted above ,

dealing with matrices that grow in size exponentially with the number of sites .

Hence ...

197 ] . d ) Numerical Many - Body Methods for

**Finite**Clusters To study the fullmany - body problem in correlated electron theories requires , as noted above ,

dealing with matrices that grow in size exponentially with the number of sites .

Hence ...

Page 87

neither

2 . 266 ] . Thus one is left with the task of explaining simultaneously both the

smaller gaps of the oligomers of PDAs compared to the

neither

**finite**size effects nor sp - sp2 site energy differences alter this conclusion [2 . 266 ] . Thus one is left with the task of explaining simultaneously both the

smaller gaps of the oligomers of PDAs compared to the

**finite**polyenes and the ...Page 93

Secondly , exact diagonalization calculations of

model [ 2 . 205 ] also show structures similar to the experimental observations ,

albeit with interpretations which differ from those in the singleparticle theory .

Secondly , exact diagonalization calculations of

**finite**chains in the PPP - Ohnomodel [ 2 . 205 ] also show structures similar to the experimental observations ,

albeit with interpretations which differ from those in the singleparticle theory .

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### Contents

Introduction | 1 |

An Overview of the Theory of rConjugated Polymers | 7 |

References | 114 |

Copyright | |

7 other sections not shown

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### Common terms and phrases

absorption addition applied approach approximation atoms band behaviour bipolarons bond bond alternation calculations carriers chain charged chemical concentration conductivity configuration conjugated polymers contribution correlation corresponding Coulomb Coulomb interactions coupling decreases defects density dependence described determined dimerization discussed dopant doping effects electron electron-electron energy excitations expected experimental experiments field finite frequency function give ground Hamiltonian hopping Hubbard important increase indicated interactions interpretation involving lattice leads length Lett limit localized magnetic materials measurements metallic methods modes molecules motion neutral nuclear observed obtained optical pair parameter peak phonon Phys Physics polarons polyacetylene polyenes polymers position properties range relaxation resonance respect samples Sect separation shift shown shows similar single soliton spectra spectrum spin structure studies symmetry Synth temperature theoretical theory trans-(CH transition units valence values whereas