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Space Group Representations
Theory, Tables and Applications
Buch von Boris I. Reser (u. a.)
Sprache: Englisch

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Beschreibung
This book is devoted to the construction of space group representations, their tabulation, and illustration of their use. Representation theory of space groups has a wide range of applications in modern physics and chemistry, including studies of electron and phonon spectra, structural and magnetic phase transitions, spectroscopy, neutron scattering, and superconductivity. The book presents a clear and practical method of deducing the matrices of all irreducible representations, including double-valued, and tabulates the matrices of irreducible projective representations for all 32 crystallographic point groups. One obtains the irreducible representations of all 230 space groups by multiplying the matrices presented in these compact and convenient to use tables by easily computed factors. A number of applications to the electronic band structure calculations are illustrated through real-life examples of different crystal structures. The book's content is accessible to both graduate and advanced undergraduate students with elementary knowledge of group theory and is useful to a wide range of experimentalists and theorists in materials and solid-state physics.
This book is devoted to the construction of space group representations, their tabulation, and illustration of their use. Representation theory of space groups has a wide range of applications in modern physics and chemistry, including studies of electron and phonon spectra, structural and magnetic phase transitions, spectroscopy, neutron scattering, and superconductivity. The book presents a clear and practical method of deducing the matrices of all irreducible representations, including double-valued, and tabulates the matrices of irreducible projective representations for all 32 crystallographic point groups. One obtains the irreducible representations of all 230 space groups by multiplying the matrices presented in these compact and convenient to use tables by easily computed factors. A number of applications to the electronic band structure calculations are illustrated through real-life examples of different crystal structures. The book's content is accessible to both graduate and advanced undergraduate students with elementary knowledge of group theory and is useful to a wide range of experimentalists and theorists in materials and solid-state physics.
Zusammenfassung

Presents theory of crystal space group representations in a clear and practical manner

Contains complete and compact tables for constructing irreducible representations for all 230 space groups

Emphasizes practical use of space group representations

Inhaltsverzeichnis

Scope and Overview.- Mathematical Preliminaries.- Induced Representations.- Projective Representations.- Representations of the Space Groups.- Tables.- Group Theory and Quantum Mechanics.

Details
Erscheinungsjahr: 2023
Fachbereich: Fertigungstechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xviii
338 S.
19 s/w Illustr.
7 farbige Illustr.
338 p. 26 illus.
7 illus. in color.
ISBN-13: 9783031139901
ISBN-10: 3031139909
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Reser, Boris I.
Melnikov, Nikolai B.
Auflage: 1st ed. 2022
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 241 x 160 x 24 mm
Von/Mit: Boris I. Reser (u. a.)
Erscheinungsdatum: 02.01.2023
Gewicht: 0,764 kg
Artikel-ID: 122083838
Zusammenfassung

Presents theory of crystal space group representations in a clear and practical manner

Contains complete and compact tables for constructing irreducible representations for all 230 space groups

Emphasizes practical use of space group representations

Inhaltsverzeichnis

Scope and Overview.- Mathematical Preliminaries.- Induced Representations.- Projective Representations.- Representations of the Space Groups.- Tables.- Group Theory and Quantum Mechanics.

Details
Erscheinungsjahr: 2023
Fachbereich: Fertigungstechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xviii
338 S.
19 s/w Illustr.
7 farbige Illustr.
338 p. 26 illus.
7 illus. in color.
ISBN-13: 9783031139901
ISBN-10: 3031139909
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Reser, Boris I.
Melnikov, Nikolai B.
Auflage: 1st ed. 2022
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 241 x 160 x 24 mm
Von/Mit: Boris I. Reser (u. a.)
Erscheinungsdatum: 02.01.2023
Gewicht: 0,764 kg
Artikel-ID: 122083838
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