| 中文摘要 | 第1-9页 |
| Abstract | 第9-11页 |
| Acknowledgement | 第11-12页 |
| Publications | 第12-13页 |
| Chapter 1 Introduction | 第13-22页 |
| ·Historical outline | 第13-14页 |
| ·Conventional crystal-field theory | 第14-19页 |
| ·Introduction of the group-chain approach | 第19-22页 |
| Chapter 2 Group-chain scheme analysis | 第22-69页 |
| ·Crystal-field Hamiltonian in the group-chain scheme | 第22-27页 |
| ·The relationship between the CF parameters of two different schemes | 第27-30页 |
| ·The matrix elements of the crystal-field Hamiltonian | 第30-33页 |
| ·Crystal-field-level fitting | 第33-35页 |
| ·The Zeeman interaction, Schottky specific heat and paramagnetic susceptibility | 第35-39页 |
| ·Study of the relative emission intensity and polarization | 第39-48页 |
| ·The matrix element for the electric-dipole(ED) transition | 第39-45页 |
| ·Fitting the odd crystal-field parameters | 第45-46页 |
| ·Selection rules | 第46-48页 |
| Appendixes | 第48-69页 |
| Appendix 2.1 The commonly used intermediate-coupling wavefunctions of RE ions | 第48-50页 |
| Appendix 2.2 Reduced matrix elements of U~((k)) between terms for RE~(3+) ion | 第50-52页 |
| Appendix 2.3 The matrix elements of CF Hamiltonian for D_3 site-symmetry with the group-chain SO_3(?)O(?)D_3 | 第52-57页 |
| Appendix 2.4 The matrix elements of CF Hamiltonian for S_4 site-symmetry with the group-chain O_3(?)O_h(?)T_d(?)D_(2d)(?)S_4 | 第57-60页 |
| Appendix 2.5 The matrix elements of CF Hamiltonian for D_(2d) site-symmetry with the gropy-chain O_3(?)O_h(?)T_d(?)D_(2d) | 第60-63页 |
| Appendix 2.6 The least-squares fit program for Er~(3+):LiYF_4 with S_4 site-symmetry | 第63-69页 |
| Chapter 3 The application of group-chain scheme analysis | 第69-143页 |
| ·Er~(3+):LiYF_4 | 第69-78页 |
| ·Introduction | 第69页 |
| ·Energy-level-fitting and wavefunctions | 第69-75页 |
| ·The Zeeman interaction | 第75-78页 |
| ·Nd~(3+):LiYF_4 | 第78-83页 |
| ·Introduction | 第78页 |
| ·Energy-level-fitting and wavefunctions | 第78-80页 |
| ·The Zeeman interaction | 第80-83页 |
| ·Tm~(3+):LiYF_4 | 第83-94页 |
| ·Introduction | 第83页 |
| ·Energy-level-fitting and wavefunctions | 第83-87页 |
| ·The Zeeman interaction, Schottky specific heat and magnetic susceptibility | 第87-90页 |
| ·Study of the polarization and relative intensities of emissions | 第90-94页 |
| ·Tm~(3+):YVO_4 | 第94-109页 |
| ·Introduction | 第94页 |
| ·Energy-level-fitting and wavefunctions | 第94-97页 |
| ·The Zeeman interaction, Schottky specific heat and magnetic susceptibility | 第97-101页 |
| ·Judd-Ofelt parameter analysis | 第101-104页 |
| ·Fluorescence dynamics of Tm~(3+) ions in YVO_4 crystal | 第104-109页 |
| ·Nd~(3+):YVO_4 | 第109-116页 |
| ·Introduction | 第109页 |
| ·Energy-level-fitting and wavefunctions | 第109-111页 |
| ·Study of the polarization and relative intensities of emissions | 第111-116页 |
| ·Nd~(3+):YAl_3(BO_3)_4 | 第116-130页 |
| ·Introduction | 第116-117页 |
| ·Energy-level-fitting and wavefunctions | 第117-121页 |
| ·The Zeeman interaction | 第121-123页 |
| ·Study of the line-to-line fluorescence emissions from ~4F_(3/2) | 第123-130页 |
| Appendixes | 第130-143页 |
| Appendix 3.1 Wavefunctions of crystal-field energy levels (O_3(?)O_h(?)T_d(?)D_(2d)(?)S_4) for Er:YLF | 第130-132页 |
| Appendix 3.2 Wavefunctions of crystal-field energy levels (O_3(?)Oh(?)Td(?)D_(2d)(?)S4) for Nd:YLF | 第132-135页 |
| Appendix 3.3 Wavefunctions for crystal-field energy levels (O_3(?)O_h(?)T_d(?)D_(2d)) for Tm:YLF | 第135-137页 |
| Appendix 3.4 Wavefunctions for crystal-field energy levels (O_3(?)O_h(?)T_d(?)D_(2d)) for Tm~(3+):YVO_4 | 第137-140页 |
| Appendix 3.5 Wavefunctions for crystal-field energy levels (O_3(?)O_h(?)T_d(?)D_(2d)) for Nd~(3+):YVO_4 | 第140-141页 |
| Appendix 3.6 Wavefunctions for crystal-field energy levels (SO_3(?)O(?)D_3) for NYAB | 第141-143页 |
| Chapter 4 Concluding remarks | 第143-149页 |
| ·Brief summary | 第143-144页 |
| ·Discussion of two-electron CF effects | 第144-146页 |
| ·Discussion of the ED intensity calculation | 第146-148页 |
| ·Future work | 第148-149页 |
| References | 第149-153页 |
