APPENDIX 3. CONSTRUCTION AND INTERPRETATION OF MATRICES REPRESENTING POINT ISOMETRIES

Kapitel in diesem Buch

1. Frontmatter I
2. COPYRIGHT: FIRST EDITION 1985; REVISED EDITION 1990 II
3. REVIEWS IN MINERALOGY III
4. Preface to the Revised Edition of Mathematical Crystallography III
5. PREFACE V
6. ACKNOWLEDGEMENTS VI
7. EXPLANATION OF SYMBOLS VII
8. CONTENTS VIII
9. CHAPTER 1. MODELING SYMMETRICAL PATTERNS AND GEOMETRIES OF MOLECULES AND CRYSTALS 1
10. CHAPTER 2. SOME GEOMETRICAL ASPECTS OF CRYSTALS 41
11. CHAPTER 3. POINT ISOMETRIES - VEHICLES FOR DESCRIBING SYMMETRY 91
12. CHAPTER 4. THE MONAXIAL CRYSTALLOGRAPHIC POINT GROUPS 123
13. CHAPTER 5. THE POLYAXIAL CRYSTALLOGRAPHIC POINT GROUPS 157
14. CHAPTER 6. THE BRAVAIS LATTICE TYPES 199
15. CHAPTER 7. THE CRYSTALLOGRAPHIC SPACE GROUPS 229
16. APPENDIX 1. MAPPINGS 303
17. APPENDIX 2. MATRIX METHODS 309
18. APPENDIX 3. CONSTRUCTION AND INTERPRETATION OF MATRICES REPRESENTING POINT ISOMETRIES 339
19. APPENDIX 4. POTPOURRI 357
20. APPENDIX 5. SOME PROPERTIES OF LATTICE PLANES 361
21. APPENDIX 6. INTERSECTION ANGLES BETWEEN ROTATION AXES 371
22. APPENDIX 7. EQUIVALENCE RELATIONS, COSETS AND FACTOR GROUPS 379
23. APPENDIX 8. ISOMORPHISMS 395
24. REFERENCES 399
25. Solutions to Problems 402
26. INDEX 456