## Conjugated Conducting Polymers |

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Page 48

For polarons ( see Fig . 2 . 18 and [ 2 . 99 ] ) the two localized electronic levels ( at

two ) lead to three distinct intra - gap absorptions , for which analytic expressions

are available [ 2 . 99 ] in the continuum limit : ( 1 ) Q1 , a S - function

For polarons ( see Fig . 2 . 18 and [ 2 . 99 ] ) the two localized electronic levels ( at

two ) lead to three distinct intra - gap absorptions , for which analytic expressions

are available [ 2 . 99 ] in the continuum limit : ( 1 ) Q1 , a S - function

**transition**...Page 95

U on the

hand , if localized states are involved , since the local densities differ in general ,

there is a shift in the optical

U on the

**transition**energy , in agreement with ( 2 . 88 ) and ( 2 . 89 ) . On the otherhand , if localized states are involved , since the local densities differ in general ,

there is a shift in the optical

**transition**. Consider as an example the**transition**...Page 195

three optical absorption bands can be expected at w , and wz for the

involving band states , and at W2 for the

gap . Since electron - hole symmetry is implicit in the SSH Hamiltonian , the

levels ...

three optical absorption bands can be expected at w , and wz for the

**transitions**involving band states , and at W2 for the

**transition**between the two levels in thegap . Since electron - hole symmetry is implicit in the SSH Hamiltonian , the

levels ...

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### Contents

Introduction | 1 |

An Overview of the Theory of rConjugated Polymers | 7 |

IndependentElectron | 17 |

Copyright | |

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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 correlation corresponding Coulomb Coulomb interactions coupling decreases defects density dependence described determined dimerization discussed dopant doping effects electron electron-electron electron-phonon ENDOR energy excitations expected experimental experiments field finite frequency function give ground Hamiltonian hopping Hubbard hyperfine important increase indicated interactions interpretation involving lattice leads length Lett limit magnetic materials measurements metallic methods modes motion neutral nuclear observed obtained one-dimensional optical pair parameter peak phonon Phys physical polarons polyacetylene polyenes polymers position properties range relaxation resonance respect samples Sect shift shown shows similar single Solid soliton spectra spectrum spin structure studies symmetry Synth temperature theoretical theory trans-(CH transition units valence values whereas