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Space group representations = theory...

Melnikov, Nikolai B.

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Space group representations = theory, tables and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Space group representations/ by Nikolai B. Melnikov, Boris I. Reser.
Reminder of title:	theory, tables and applications /
Author:	Melnikov, Nikolai B.
other author:	Reser, Boris I.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xviii, 338 p. :ill., digital ;24 cm.
[NT 15003449]:	Scope and Overview -- Mathematical Preliminaries -- Induced Representations -- Projective Representations -- Representations of the Space Groups -- Tables -- Group Theory and Quantum Mechanics.
Contained By:	Springer Nature eBook
Subject:	Space groups. -
Online resource:	https://doi.org/10.1007/978-3-031-13991-8
ISBN:	9783031139918

Space group representations = theory, tables and applications /
Melnikov, Nikolai B.

Space group representationstheory, tables and applications /[electronic resource] :by Nikolai B. Melnikov, Boris I. Reser. - Cham :Springer International Publishing :2022. - xviii, 338 p. :ill., digital ;24 cm.

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

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.

ISBN: 9783031139918

Standard No.: 10.1007/978-3-031-13991-8doiSubjects--Topical Terms:

2046173
Space groups.

LC Class. No.: QD911

Dewey Class. No.: 548.7

Space group representations = theory, tables and applications /
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100 1 $a Melnikov, Nikolai B. $3 3339076
245 1 0 $a Space group representations $h [electronic resource] : $b theory, tables and applications / $c by Nikolai B. Melnikov, Boris I. Reser.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xviii, 338 p. : $b ill., digital ; $c 24 cm.
505 0 $a Scope and Overview -- Mathematical Preliminaries -- Induced Representations -- Projective Representations -- Representations of the Space Groups -- Tables -- Group Theory and Quantum Mechanics.
520 $a 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.
650 0 $a Space groups. $3 2046173
700 1 $a Reser, Boris I. $3 3339077
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-13991-8
950 $a Physics and Astronomy (SpringerNature-11651)