## Conjugated Conducting Polymers |

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Page 25

Historically , the work of Hückel on the molecular orbital

hydrocarbons provided the first independent - electron theory directly relevant to

finite polyenes [ 2 . 53 , 54 ] . The successes and limitations of this

Historically , the work of Hückel on the molecular orbital

**approach**to conjugatedhydrocarbons provided the first independent - electron theory directly relevant to

finite polyenes [ 2 . 53 , 54 ] . The successes and limitations of this

**approach**...Page 34

39 ) , we see that within the single - electron

the bandgap , which as we shall later show is precisely the gap for optical

excitations , are directly related and can be described by a single parameter 40 .

39 ) , we see that within the single - electron

**approach**the bond alternation andthe bandgap , which as we shall later show is precisely the gap for optical

excitations , are directly related and can be described by a single parameter 40 .

Page 67

As presently formulated , the projector and world line

applied to short range interactions ( V ; = 0 , j > 2 ) , but this is not a limitation in

principle . The Green ' s function

of ...

As presently formulated , the projector and world line

**approaches**can only beapplied to short range interactions ( V ; = 0 , j > 2 ) , but this is not a limitation in

principle . The Green ' s function

**approach**is immediately suitable for any rangeof ...

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### Contents

Introduction | 1 |

An Overview of the Theory of rConjugated Polymers | 7 |

References | 114 |

Copyright | |

6 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 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 Physics 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 transport units values whereas