| | Contents | |
| | | |
| |
| | Preface | v |
| 1 | Introduction | 1 |
| 2 | Structure and Symmetry | 3 |
| 2.1 | Structure of Carbon Nanotubes | 3 |
| 2.2 | Experiments | 9 |
| 2.3 | Symmetry of Single-walled Carbon Nanotubes | 12 |
| 2.3.1 | Symmetry Operations | 12 |
| 2.3.2 | Symmetry-based Quantum Numbers | 15 |
| 2.3.3 | Irreducible representations | 18 |
| 2.3.4 | Projection Operators | 21 |
| 2.3.5 | Phonon Symmetries in Carbon Nanotubes | 27 |
| 2.4 | Summary | 30 |
| 3 | Electronic Properties of Carbon Nanotubes | 31 |
| 3.1 | Graphene | 31 |
| 3.1.1 | Tight-binding Description of Graphene | 33 |
| 3.2 | Zone-folding Approximation | 41 |
| 3.3 | Electronic Density of States | 44 |
| 3.3.1 | Experimental Verifications of the DOS | 47 |
| 3.4 | Beyond Zone Folding - Curvature Effects | 50 |
| 3.4.1 | Secondary Gaps in Metallic Nanotubes | 50 |
| 3.4.2 | Rehybridization of the  and  States | 53 |
| 3.5 | Nanotube Bundles | 60 |
| 3.5.1 | Low-energy Properties | 60 |
| 3.5.2 | Visible Energy Range | 62 |
| 3.6 | Summary | 64 |
| 4 | Optical Properties | 67 |
| 4.1 | Absorption and Emission | 67 |
| 4.1.1 | Selection Rules and Depolarization | 68 |
| 4.2 | Spectra of Isolated Tubes | 72 |
| 4.3 | Photoluminescence Excitation - (n1,n2) Assignment | 73 |
| 4.4 | 4-Å-diameter Nanotubes | 77 |
| 4.5 | Bundles of Nanotubes | 79 |
| 4.6 | Excited-state Carrier Dynamics | 80 |
| 4.7 | Summary | 83 |
| 5 | Electronic Transport | 85 |
| 5.1 | Room-temperature Conductance of Nanotubes | 85 |
| 5.2 | Electron Scattering | 88 |
| 5.3 | Coulomb Blockade | 93 |
| 5.4 | Luttinger Liquid | 96 |
| 5.5 | Summary | 99 |
| 6 | Elastic Properties | 101 |
| 6.1 | Continuum Model of Isolated Nanotubes | 101 |
| 6.1.1 | Ab-initio, Tight-binding, and Force-constants Calculations | 105 |
| 6.2 | Pressure Dependence of the Phonon Frequencies | 107 |
| 6.3 | Micro-mechanical Manipulations | 111 |
| 6.4 | Summary | 114 |
| 7 | Raman Scattering | 115 |
| 7.1 | Raman Basics and Selection Rules | 115 |
| 7.2 | Tensor Invariants | 119 |
| 7.2.1 | Polarized Measurements | 121 |
| 7.3 | Raman Measurements at Large Phonon q | 123 |
| 7.4 | Double Resonant Raman Scattering | 126 |
| 7.5 | Summary | 133 |
| 8 | Vibrational Properties | 135 |
| 8.1 | Introduction | 136 |
| 8.2 | Radial Breathing Mode | 141 |
| 8.2.1 | The RBM in Isolated and Bundled Nanotubes | 142 |
| 8.2.2 | Double-walled Nanotubes | 149 |
| 8.3 | The Defect-induced D Mode | 152 |
| 8.3.1 | The D Mode in Graphite | 153 |
| 8.3.2 | The D Mode in Carbon Nanotubes | 154 |
| 8.4 | Symmetry of the Raman Modes | 158 |
| 8.5 | High-energy Vibrations | 159 |
| 8.5.1 | Raman and Infrared Spectroscopy | 162 |
| 8.5.2 | Metallic Nanotubes | 167 |
| 8.5.3 | Single- and Double-resonance Interpretation | 172 |
| 8.6 | Summary | 174 |
| 8.7 | What we Can Learn from the Raman Spectra of Single-walled Carbon Nanotubes | 174 |
| | Appendix A Character and Correlation Tables of Graphene | 177 |
| | Appendix B Raman Intensities in Unoriented Systems | 181 |
| | Appendix C Fundamental Constants | 183 |
| | Bibliography | 185 |
| | Index | 211 |
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