Crystal symmetries : Shubnikov Centennial papers
tarafından
 
Hargittai, István.

Başlık
: 
Crystal symmetries : Shubnikov Centennial papers

Yazar
: 
Hargittai, István.

ISBN
: 
9780080370149
 
9781483299105

Yayın Bilgileri
: 
Oxford ; New York : Pergamon Press, ©1988.

Fiziksel Tanımlama
: 
1 online resource (ix, pages 351-669) : illustrations

Seri
: 
International series in modern applied mathematics and computer science ; v. 17
 
International series in modern applied mathematics and computer science ; v. 17.

İçerik
: 
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

Özet
: 
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.

Konu Başlığı
: 
Crystallography -- Congresses.
 
Symmetry (Physics) -- Congresses.
 
Cristallographie mathématique.
 
Symétrie (Physique)
 
SCIENCE -- Physics -- Crystallography.
 
Crystallography. (OCoLC)fst00884652
 
Symmetry (Physics) (OCoLC)fst01140819
 
CRYSTAL STRUCTURE.
 
SYMMETRY.
 
CRYSTALS.
 
CRYSTALLOGRAPHY.
 
Réseaux cristallins.
 
Symétrie.
 
Aufsatzsammlung.
 
Kristallographie.
 
Kristallsymmetrie.
 
Symmetrie.

Tür
: 
Electronic books.
 
Conference papers and proceedings. (OCoLC)fst01423772

Added Author
: 
Hargittai, István.
 
Vaĭnshteĭn, B. K. (Boris Konstantinovich), 1921-
 
Udalova, V. V.
 
Rodin, Ervin Y., 1932-
 
Shubnikov, A. V. (Alekseĭ Vasilʹevich)

Tek Biçim Eser Adı
: 
Computers & mathematics with applications.

Elektronik Erişim
: 
ScienceDirect https://www.sciencedirect.com/science/book/9780080370149


Yer NumarasıDemirbaş NumarasıShelf LocationShelf LocationHolding Information
QD901 .C76 19881182410-1001Elsevier E-Kitap KoleksiyonuElsevier E-Kitap Koleksiyonu