## Conjugated Conducting Polymers |

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Page 30

25 ) we observe that ay is stationary with

wavefunctions . Thus , assuming Viv to be normalized , E141 , 12 = 1 , and

differentiating with

ukev ) . ( 2 .

25 ) we observe that ay is stationary with

**respect**to variations in thewavefunctions . Thus , assuming Viv to be normalized , E141 , 12 = 1 , and

differentiating with

**respect**to ru + 1 , we obtain dev = _ dt ( 1 , 1 + 1 ! ( V * X 1 + , +ukev ) . ( 2 .

Page 32

68 ] had found quite generally that a one - dimensional metal is unstable with

Fermi energy and thus leads to a semiconducting , rather than metallic , ground

state .

68 ] had found quite generally that a one - dimensional metal is unstable with

**respect**to a 2kf - modulation of the lattice . This modulation opens a gap at theFermi energy and thus leads to a semiconducting , rather than metallic , ground

state .

Page 222

Another important lineshape is the Pake pattern , which results from dipolar

coupled pairs of spins with a random orientation of their internuclear vector with

5 .

Another important lineshape is the Pake pattern , which results from dipolar

coupled pairs of spins with a random orientation of their internuclear vector with

**respect**to B . . For two spins S ; and Ska doublet of lines occurs with separation (5 .

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### Contents

Introduction | 1 |

An Overview of the Theory of rConjugated Polymers | 7 |

IndependentElectron | 17 |

Copyright | |

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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