## Conjugated Conducting Polymers |

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Page 30

26 ) Differentiating with

stationary with

. to be normalized , El 4 12 = 1 , and differentiating with

...

26 ) Differentiating with

**respect**to view and using ( 2 . 25 ) we observe that ε , isstationary with

**respect**to variations in the wavefunctions . Thus , assuming V1 . v. to be normalized , El 4 12 = 1 , and differentiating with

**respect**to run , we obtain...

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 2kp - 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

16 ) that depends upon the separation rik and the angle I ik of the interspin -

vector with

much larger than Awjk . For a large number of spins coupled by dipole - 222 P . K

. Kahol ...

16 ) that depends upon the separation rik and the angle I ik of the interspin -

vector with

**respect**to the Bo . Equation ( 5 . 1 . 16 ) is valid only if w , = y B ismuch larger than Awjk . For a large number of spins coupled by dipole - 222 P . K

. Kahol ...

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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 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