| Page |
| ABSTRACT | 1 |
| CONTENTS | 2, 3 |
| 1. INTRODUCTION | 4, 5, 6, 7 |
| 2. REGULAR SOLID CUBIC HARMONICS | 8, 9, 10, 11 |
| 2.1 One-Centre Coulomb | 12 |
| 2.2 Two-Centre Coulomb | 13 |
| 2.3 Two-Centre Exchange | 14, 15 |
| 2.4 Three-Centre Exchange | 16 |
| 3. IRREGULAR SOLID CUBIC HARMONICS | 17, 18, 19, 20 |
| 3.1 One-Centre Coulomb | 21 |
| 3.2 Two-Centre Coulomb | 22, 23 |
| 3.3 Two-Centre Exchange | 24 |
| 3.4 Three-Centre Exchange | 25, 26, 27, 28, 29 |
| 4. CARTESIAN MULTIPOLE MOMENTS | 30, 31 |
| 4.1 One-Centre Coulomb | 32 |
| 4.2 Two-Centre Coulomb | 33 |
| 4.3 Two-Centre Exchange | 34 |
| 4.4 Three-Centre Exchange | 35 |
| 5. OTHER ONE-ELECTRON OPERATORS | 36 |
| 5.1 The Sack Expansion | 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49 |
| 5.2 Displacement Perturbations | 50, 51, 52, 53, 54 |
| APPENDIX A: OFF-CENTRE CONTACT TERMS | 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66 |
| APPENDIX B: CARTESIAN FIELD PROPERTIES | 67, 68 |
| APPENDIX C: THE a-COEFFICIENTS | 69, 70, 71, 72, 73, 74, 75, 76, 77, 78 |
| APPENDIX D: ULTRAHEXADECIMAL STORAGE | 79, 80, 81, 82, 83, 84, 85, 86, 87, 88 |
| ACKNOWLEDGEMENTS | 89 |
| REFERENCES | 90 |
