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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Hargittai, Istv�an, Va�inshte�in, B. K. (Boris Konstantinovich), 1921-, Udalova, V. V., Rodin, Ervin Y., 1932-, Shubnikov, A. V. (Alekse�i Vasil�evich)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York : Pergamon Press, �1988.
Colección:International series in modern applied mathematics and computer science ; v. 17.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Crystal symmetries :  |b Shubnikov Centennial papers /  |c guest editors, I. Hargittai and B.K. Vainshtein ; assistant guest editor, V.V. Udalova ; general editor, E.Y. Rodin. 
260 |a Oxford ;  |a New York :  |b Pergamon Press,  |c �1988. 
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490 1 |a International series in modern applied mathematics and computer science ;  |v v. 17 
504 |a Includes bibliographical references. 
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520 |a 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 special place in this treatise. Structural aspects of phase transitions, correlation of structure and properties, polytypism, modulated structures, and other topics are discussed. Applications of important techniques, such as X-ray crystallography, biophysical studies, EPR spectroscopy, crystal optics, and nuclear solid state physics, are represented. Contains 30 research and review papers. 
505 0 |a 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) 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
546 |a English. 
650 0 |a Crystallography  |v Congresses. 
650 0 |a Symmetry (Physics)  |v Congresses. 
650 0 |a Crystallography, Mathematical. 
650 0 |a Symmetry (Physics) 
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700 1 |a Hargittai, Istv�an. 
700 1 |a Va�inshte�in, B. K.  |q (Boris Konstantinovich),  |d 1921- 
700 1 |a Udalova, V. V. 
700 1 |a Rodin, Ervin Y.,  |d 1932- 
700 1 |a Shubnikov, A. V.  |q (Alekse�i Vasil�evich) 
730 0 |a Computers & mathematics with applications. 
776 0 8 |i Print version:  |t Crystal symmetries.  |d Oxford ; New York : Pergamon Press, �1988  |w (DLC) 89193508  |w (OCoLC)19760143 
830 0 |a International series in modern applied mathematics and computer science ;  |v v. 17. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780080370149  |z Texto completo