Zum Hauptinhalt springen Zur Suche springen Zur Hauptnavigation springen
Dekorationsartikel gehören nicht zum Leistungsumfang.
Site Symmetry in Crystals
Theory and Applications
Taschenbuch von Vyacheslav P. Smirnov (u. a.)
Sprache: Englisch

122,95 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-4 Werktage

Produkt Anzahl: Gib den gewünschten Wert ein oder benutze die Schaltflächen um die Anzahl zu erhöhen oder zu reduzieren.
Kategorien:
Beschreibung
Site Symmetry in Crystals is the first comprehensive account of the group-theoretical aspects of the site (local) symmetry approach to the study of crystalline solids. The efficiency of this approach, which is based on the concepts of simple induced and band representations of space groups, is demonstrated by considering newly developed applications to electron surface states, point defects, symmetry analysis in lattice dynamics, the theory of second-order phase transitions, and magnetically ordered and non-rigid crystals. Tables of simple induced respresentations are given for the 24 most common space groups, allowing the rapid analysis of electron and phonon states in complex crystals with many atoms in the unit cell.
Site Symmetry in Crystals is the first comprehensive account of the group-theoretical aspects of the site (local) symmetry approach to the study of crystalline solids. The efficiency of this approach, which is based on the concepts of simple induced and band representations of space groups, is demonstrated by considering newly developed applications to electron surface states, point defects, symmetry analysis in lattice dynamics, the theory of second-order phase transitions, and magnetically ordered and non-rigid crystals. Tables of simple induced respresentations are given for the 24 most common space groups, allowing the rapid analysis of electron and phonon states in complex crystals with many atoms in the unit cell.
Zusammenfassung
This is the first comprehensive account of the group-theoretical aspects of the site symmetry approach to the study of crystalline solids. The efficiency of this approach is demonstrated by discussion of newly developed applications. This title will be of interest to researchers investigating electron and phonon spectra of crystals, etc., and high-temperature superconductivity.
Inhaltsverzeichnis
1. Introduction.- 2. Finite Groups and Their Representations.- 2.1 Elements of Group Theory.- 2.2 Elements of Group Representation Theory.- 2.3 Generation of Representations.- 3. Symmetry Groups and Their Representations.- 3.1 The Euclidean Group and Its Subgroups.- 3.2 Point Symmetry Groups.- 3.3 Space Groups.- 3.4 Site Symmetry in Space Groups.- 3.5 Symmetry Operations in Quantum Mechanics.- 3.6 Irreducible Representations of Rotation and Full Orthogonal Groups.- 3.7 Representations of Point Groups.- 3.8 Representations of Space Groups.- 4. Site Symmetry and Induced Representations of Symmetry Groups.- 4.1 Induced Representations of Point Groups. Correlation Tables.- 4.2 Induced Representations of Space Groups.- 4.3 Double-Valued Induced Representations.- 4.4 Generation of the Simple Induced Representations of the Space Group D4h14.- 4.5 The Twenty-Four Most Common Space Groups: Crystal Structures and Tables of Simple Induced Representations.- 5. Application of Induced Representations in the Electron Theory of Molecules and Crystals.- 5.1 Adiabatic and One-Electron Approximations.- 5.2 Induced Representations in the Electron Theory of Molecules.- 5.3 One-Electron Approximation for Crystals.- 5.4 Induced Representations and the Theory of Chemical Bonding in Crystals.- 5.5 Energy Bands and Localized States.- 5.6 Localized Orbitals in Molecular Models of Crystals.- 6. Induced Representations in the Theory of Imperfect Crystals.- 6.1 Point Defects in Crystals.- 6.2 Diperiodic Space Groups. Surface Electron States.- 7. Application of Induced Representations of Space Groups to Second Order Phase Transitions.- 7.1 Symmetry Rules in the Landau Theory of Second Order Phase Transitions.- 7.2 Tensor Fields in Crystals and Induced Representations of Space Groups. Tensor Fields for Space Group D4h14.- 7.3 Vibrational Field Representation and Phase Transitions in High-Temperature Superconductors.- 8. Induced Representations of Space Groups in Phonon Spectroscopy of Crystals.- 8.1 Phonon Symmetry Analysis.- 8.2 Infrared and Raman Spectra Selection Rules.- 8.3 Phonon Symmetry and Optical Spectra Selection Rules in Semiconductor Superlattices.- 8.4 Phonon Symmetry in High-Temperature Superconductors.- 8.5 Phonon Symmetry in Diperiodic Systems.- 9. Site Symmetry in Magnetic Crystals and Induced Corepresentations.- 9.1 Shubnikov Space Groups of Symmetry of Magnetic Crystals.- 9.2 Site Symmetry in Magnetic Crystals.- 9.3 Corepresentations of Shubnikov Space Groups.- 9.4 Induced Corepresentations of Magnetic Space Groups.- 9.5 Corepresentations of the Space Groups of Antiferromagnetic La2CuO4.- 10. Site Symmetry in Permutation - Inversion Symmetry Groups of Nonrigid Crystals.- 10.1 Symmetry Groups of Nonrigid Crystals.- 10.2 Irreducible Representations of a Nonrigid Crystal Symmetry Group.- 10.3 Generalized Symmetry of High-Temperature Phase of Fullerite C60.- References.
Details
Erscheinungsjahr: 1997
Fachbereich: Atomphysik & Kernphysik
Genre: Mathematik, Medizin, Naturwissenschaften, Physik, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
282 S.
5 s/w Illustr.
282 p. 5 illus.
ISBN-13: 9783540614661
ISBN-10: 3540614664
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Smirnov, Vyacheslav P.
Evarestov, Robert A.
Auflage: Softcover reprint of the original 2nd edition 1997
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 17 mm
Von/Mit: Vyacheslav P. Smirnov (u. a.)
Erscheinungsdatum: 16.01.1997
Gewicht: 0,458 kg
Artikel-ID: 106331556
Zusammenfassung
This is the first comprehensive account of the group-theoretical aspects of the site symmetry approach to the study of crystalline solids. The efficiency of this approach is demonstrated by discussion of newly developed applications. This title will be of interest to researchers investigating electron and phonon spectra of crystals, etc., and high-temperature superconductivity.
Inhaltsverzeichnis
1. Introduction.- 2. Finite Groups and Their Representations.- 2.1 Elements of Group Theory.- 2.2 Elements of Group Representation Theory.- 2.3 Generation of Representations.- 3. Symmetry Groups and Their Representations.- 3.1 The Euclidean Group and Its Subgroups.- 3.2 Point Symmetry Groups.- 3.3 Space Groups.- 3.4 Site Symmetry in Space Groups.- 3.5 Symmetry Operations in Quantum Mechanics.- 3.6 Irreducible Representations of Rotation and Full Orthogonal Groups.- 3.7 Representations of Point Groups.- 3.8 Representations of Space Groups.- 4. Site Symmetry and Induced Representations of Symmetry Groups.- 4.1 Induced Representations of Point Groups. Correlation Tables.- 4.2 Induced Representations of Space Groups.- 4.3 Double-Valued Induced Representations.- 4.4 Generation of the Simple Induced Representations of the Space Group D4h14.- 4.5 The Twenty-Four Most Common Space Groups: Crystal Structures and Tables of Simple Induced Representations.- 5. Application of Induced Representations in the Electron Theory of Molecules and Crystals.- 5.1 Adiabatic and One-Electron Approximations.- 5.2 Induced Representations in the Electron Theory of Molecules.- 5.3 One-Electron Approximation for Crystals.- 5.4 Induced Representations and the Theory of Chemical Bonding in Crystals.- 5.5 Energy Bands and Localized States.- 5.6 Localized Orbitals in Molecular Models of Crystals.- 6. Induced Representations in the Theory of Imperfect Crystals.- 6.1 Point Defects in Crystals.- 6.2 Diperiodic Space Groups. Surface Electron States.- 7. Application of Induced Representations of Space Groups to Second Order Phase Transitions.- 7.1 Symmetry Rules in the Landau Theory of Second Order Phase Transitions.- 7.2 Tensor Fields in Crystals and Induced Representations of Space Groups. Tensor Fields for Space Group D4h14.- 7.3 Vibrational Field Representation and Phase Transitions in High-Temperature Superconductors.- 8. Induced Representations of Space Groups in Phonon Spectroscopy of Crystals.- 8.1 Phonon Symmetry Analysis.- 8.2 Infrared and Raman Spectra Selection Rules.- 8.3 Phonon Symmetry and Optical Spectra Selection Rules in Semiconductor Superlattices.- 8.4 Phonon Symmetry in High-Temperature Superconductors.- 8.5 Phonon Symmetry in Diperiodic Systems.- 9. Site Symmetry in Magnetic Crystals and Induced Corepresentations.- 9.1 Shubnikov Space Groups of Symmetry of Magnetic Crystals.- 9.2 Site Symmetry in Magnetic Crystals.- 9.3 Corepresentations of Shubnikov Space Groups.- 9.4 Induced Corepresentations of Magnetic Space Groups.- 9.5 Corepresentations of the Space Groups of Antiferromagnetic La2CuO4.- 10. Site Symmetry in Permutation - Inversion Symmetry Groups of Nonrigid Crystals.- 10.1 Symmetry Groups of Nonrigid Crystals.- 10.2 Irreducible Representations of a Nonrigid Crystal Symmetry Group.- 10.3 Generalized Symmetry of High-Temperature Phase of Fullerite C60.- References.
Details
Erscheinungsjahr: 1997
Fachbereich: Atomphysik & Kernphysik
Genre: Mathematik, Medizin, Naturwissenschaften, Physik, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
282 S.
5 s/w Illustr.
282 p. 5 illus.
ISBN-13: 9783540614661
ISBN-10: 3540614664
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Smirnov, Vyacheslav P.
Evarestov, Robert A.
Auflage: Softcover reprint of the original 2nd edition 1997
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 17 mm
Von/Mit: Vyacheslav P. Smirnov (u. a.)
Erscheinungsdatum: 16.01.1997
Gewicht: 0,458 kg
Artikel-ID: 106331556
Sicherheitshinweis

Ähnliche Produkte

Ähnliche Produkte