## Conjugated Conducting Polymers |

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Page 136

It can be shown that such a system cannot exist as a one - dimensional metal

with a half - filled

level . The reason for this is either the Peierls instability , or electron correlation ,

or ...

It can be shown that such a system cannot exist as a one - dimensional metal

with a half - filled

**band**, but rather as an insulator with a gap forming at the Fermilevel . The reason for this is either the Peierls instability , or electron correlation ,

or ...

Page 166

in the case of an energy - independent mean free path and parabolic

explain the sudden appearance and the high value of N ( Ef ) in a simple way .

in the case of an energy - independent mean free path and parabolic

**bands**. ... of**band**tails and a gradual filling of the gap with density of states , but it cannotexplain the sudden appearance and the high value of N ( Ef ) in a simple way .

Page 182

Therefore , an assumed helicity of the pyrrole polymer might be expected to

reduce the

optical absorption feature at the

helix ...

Therefore , an assumed helicity of the pyrrole polymer might be expected to

reduce the

**band**gap and rotational disorder to give rise to a broadening of theoptical absorption feature at the

**band**gap . In the case of cis - polyacetylene ,helix ...

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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