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Crystal symmetries : Shubnikov Centennial papers /
Crystal Symmetries is a timely account of the progress in the most diverse fields of crystallography. It presents a broad overview of the theory of symmetry and contains state of the art reports of its modern directions and applications to crystal physics and crystal properties. Geometry takes a spe...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
�1988.
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| Colección: | International series in modern applied mathematics and computer science ;
v. 17. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Crystal Symmetries: Shubnikov Centennial Papers; Copyright Page; Table of Contents; Preface; CHAPTER 1. A.V. SHUBNIKOV AND HIS IDEAS INMODERN CRYSTALLOGRAPHY; REFERENCES; CHAPTER2. ON THE WORKS OF PIERRE CURIE ON SYMMETRY; CHAPTER3. SYMMETRY OF SIMILARITY; HISTORICAL BACKGROUND; OPERATIONS IN THE SYMMETRY OF SIMILARITY; SIMILARITY SYMMETRY GROUPS; SUMMARY; REFERENCES; CHAPTER4. ANTISYMMETRY OF TEXTURES ; REFERENCES; CHAPTER5. SPACE AND TIME SYMMETRY; 1. INTRODUCTION; 2. SYMMETRY OF SCALAR AND VECTORS; 3. THE KINETIC COEFFICIENT SYMMETRY PRINCIPLE (THE ONSAGER PRINCIPLE)
- 4. GEOMETRICAL IMAGE REFLECTING SYMMETRY OF SPACE AND TIMEREFERENCES; CHAPTER6. THE ROLE OF CRYSTALLOGRAPHIC SYMMETRY IN THE DIRECT METHODS OF X-RAY CRYSTALLOGRAPHY; 1. SUMMARY; 2. OVERVIEW; 3. THE STRUCTURE INVARIANTS; 4. THE STRUCTURE SEMINVARIANTS; 5. THE ALGEBRAIC APPROACH; 6. THE FUNDAMENTAL PRINCIPLE OF DIRECT METHODS; 7. THE NEIGHBORHOOD PRINCIPLE; 8. THE PROBABILISTIC APPROACH; 9. CONCLUDING REMARKS; REFERENCES; CHAPTER7. ORIGIN SPECIFICATION BY USE OF PHASES; 1. INTRODUCTION; 2. CENTROSYMMETRIC SPACE GROUPS; 3. NON-CENTROSYMMETRIC SPACE GROUPS; 4. APPLICATION; REFERENCES
- CHAPTER8. GENERALIZED SYMMETRY IN CRYSTAL PHYSICS1. CONTRIBUTION OF A.V. SHUBNIKOV TO THE THEORY OF SYMMETRY; 2. ORTHOGONAL-PERMUTATION SYMMETRY GROUPS IN CLASSICAL CRYSTAL PHYSICS; 3. ANTISYMMETYU, COLOUR SYMMETRY AND THEIR MAGNETIC INTERPRETATIONS; 4. MAGNETIC, COMPLEX AND PHASE SYMMETRY IN CRYSTAL PHYSICS AND IN STRUCTURE ANALYSIS OF CRYSTALS; 5. SUPERSPACE SYMMETRY OF MOLECULARLY MODULATED POLYSYSTEM CRYSTALS; 6. THE PROBLEM OF INCOMMENSURABILITY IN CRYSTAL PHYSICS; 7. THE PROBLEM OF ICOSAHEDRIC QUASICRYSTALS [51-55]; REFERENCES; CHAPTER9. MATHEMATICAL PROBLEMS IN MODERN CRYSTALLOGRAPHY
- 1. INTRODUCTION2. THE ASSESSMENT OF THE UNIQUENESS OF THE CRYSTAL STRUCTURE ANALYSIS; 3. THE REGULARITY CONDITION OF A (r, R)-SYSTEM; 4. DENSEST PACKING OF REGULAR POLYTOPES; 5. PACKINGS OF RIGID BALLS; 6. SUBGROUPS OF THE ORTHOGONAL GROUP O(n); 7. DERIVATION OF SPACE GROUPS; 8. AN UPPER BOUND FOR THE NUMBER OF FACES OF A DIRICHLET DOMAIN; 9. CHARACTERIZATION OF Z-REDUCED QUADRATIC FORMS; 10. CHARACTERIZATION OF THE TYPES OF MAXIMAL PARALLELOTOPES; 11. A PROGRAM LIBRARY FOR MATHEMATICAL CRYSTALLOGRAPHY; REFERENCES
- CHAPTER10. FRUITFUL PARTNERSHIP COOPERATION WITH THE SHUBNIKOV INSTITUTE OF THE SOVIET ACADEMY OF SCIENCESREFERENCES; CHAPTER11. CRYSTAL SYMMETRY AND ATOMIC INTERACTIONS; INTRODUCTION; DESCRIPTION OF THE MODEL; ANALYSIS OF CRYSTAL STRUCTURE; DISCUSSION; REFERENCES; CHAPTER12. SYMMETRY METHODS AND SPACE GROUP REPRESENTATIONS IN THE THEORY OF PHASE TRANSITIONS; 1. INTRODUCTION; 2. AGEOMETRICAL METHOD FOR OBTAINING THE LOW-SYMMETRY PHASES ARISING UPON PHASE TRANSITIONS; 3. THERMODYNAMIC DESCRIPTION OF PHASE TRANSITIONS; 4. THE PHASE DIAGRAMS WITH INCOMMENSURATE PHASES TAKEN INTO ACCOUNT