The Jahn-Teller Effect in C60 and Other Icosahedral Complexes

摘要: LIST OF FIGURES TABLES GLOSSARY SYMBOLS 1. Introduction 1.1 From Past to Present 1.2 Definition and History 1.3 The EXXXBeta (1) Interaction 1.4 Berry Phase 1.5 Icosahedral Complexes 1.5.1 C(60)-Based Materials 1.5.2 Other Clusters 2. Symmetry Its Effects 2.1 2.2 Geometry of C(60) the Group I(h) 2.3 Irreducible Representations 2.3.1 Spin Representations: Double 2.4 Electron-Phonon Interactions 2.5 Vibrational Modes Their Symmetries 2.6 Ham Reduction Factors 2.7 Jahn-Teller Systems 2.7.1 T XXX h P(n) 2.7.2 G XXX(g h) 2.7.3 H 3. 3.1 3.2 Potential Energy Surfaces 3.2.1 Rotational T(1) 3.2.2 Shape Distorted Molecule 3.2.3 "Warping" Lowest-APES 3.2.4 Modification for T(2) 3.3 Ground States at Strong Coupling 3.3.1 in Adiabatic Approximation 3.3.2 3.3.3 3.3.4 State with Warping 3.4 Intermediate Strength 3.5 Multiple Occupation Orbitals 3.5.1 Configurations P(2) P(4) 3.5.2 Configuration P(3) 3.5.3 Numerical Work on p(n) 3.5.4 Term Splittings Ordering 3.6 Optical Absorption Spectra 3.6.1 Molecular 3.6.2 Bands Solids: Cluster Model 3.7 Spin-Orbit 3.7.1 E(JT) 3.7.2 Comparable or Larger than 4. Electronic Quartets GXXX(g 4.1 4.2 g 4.2.1 Method Opik Pryce 4.2.2 Biharmonic Parametrization Bases 4.2.3 4.2.4 Tracking 4.2.5 4.3 Two Spaces 4.4 4.4.1 4.4.2 4.5 (g 4.5.1 h)(eq) SO(4) 4.5.2 4.5.3 Relative Strengths 4.6 Broad Band 4.7 An Overview 5. Quintets HXXX(g 5.1 5.2 h(4) 5.3 General 5.4 h(2) 5.4.1 Hamiltonian 5.4.2 5.4.3 5.5 5.6 h(4)(eq) 5.7 h(2))(eq) 5.7.1 5.8 6. Bridge Experiment 6.1 Multimode Effects: Models 6.1.1 A Low 6.1.2 6.2 Electron Resonance 6.2.1 6.2.2 6.2.3 6.2.4 Triplet 6.2.5 Esr C(60): Theory 6.3 Levels C(60)(n-) 6.3.1 6.3.2 6.4 6.4.1 Symmetry-Lowering Distortions 6.4.2 Allowed Transitions 6.4.3 Experimental Evidence 6.5 C(60)(-) 6.6 C(60)(+) 6.7 Superconductivity Fullerides 6.7.1 Crystal 6.7.2 Superconducting 6.7.3 p(3) Appendixes A. A.1 Corrections B. Quantum Tunneling Energies B.1 B.2 One-Dimensional Potentials B.3 Higher Dimensionality B.4 WKB Applications B.4.1 Application B.4.2 More Dimensions C. E D. I E. Matrices E.1 Basis E.1.1 L equal 1 2 E.1.2 from 3 Upwards E.1.3 F. Transformations F.1 Parametrizations F.2 Rotations Diagonalize F.3 F.4 Representation a Rotating Quadrupole G. Parameters Minima Stationary Points H. Cited References Bibliography H.1 H.2 H.2.1 Mechanics H.2.2 Techniques H.2.3 H.2.4 Effect H.2.5 H.2.6 H.2.7 H.2.8 Methods H.2.9 H.2.10 INDEX