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The mathematical theory of symmetry in solids : representation theory for point groups and space groups /

"This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantum-mechanical study of a particle or quasi-particle in a molecule or crystalline solid because the eigenvalues and eigenfunctions of a sys...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bradley, C. J. (Christopher John)
Otros Autores: Cracknell, Arthur P.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York : Clarendon Press, 2010.
Colección:Oxford classic texts in the physical sciences.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Bradley, C. J.  |q (Christopher John) 
245 1 4 |a The mathematical theory of symmetry in solids :  |b representation theory for point groups and space groups /  |c by C.J. Bradley and A.P. Cracknell. 
264 1 |a Oxford ;  |a New York :  |b Clarendon Press,  |c 2010. 
300 |a 1 online resource (xii, 745 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Oxford classic texts in the physical sciences 
504 |a Includes bibliographical references (pages 684-735) and index. 
505 0 |a 1 Symmetry and The Solid State ; 1.1 Introduction ; 1.2 Group theory ; 1.3 Group representations ; 1.4 Point groups ; 1.5 Space groups -- 2 Symmetry-Adapted Functions for the Point Groups ; 2.1 The matrix elements of the rotation group ; 2.2 The generation of symmetry-adapted functions ; 2.3 Application to the point groups ; 2.4 Symmetry-adapted functions for the crystallographic point groups ; 2.5 Active and passive operators ; 2.6 Symmetrized and anti-symmetrized products of point-group representations -- 3 Space Groups ; 3.1 Bravais lattices ; 3.2 Reciprocal lattices and Brillouin zones ; 3.3 The classification of points and lines of symmetry ; 3.4 The irreducible representations of the translation groups ; 3.5 The classification of the 230 3-dimensional space groups ; 3.6 The action of space-group operations on Bloch functions ; 3.7 A descriptive account of the representation theory of space groups ; 3.8 Examples: cubic close-packed and diamond structures -- 4 The Representations of A Group in Terms of The Representations of An Invariant Subgroup ; 4.1 Induced representations ; 4.2 Groups with an invariant subgroup ; 4.3 The theory of little groups ; 4.4 The small representations of little groups ; 4.5 The point groups as semi-direct products ; 4.6 The reality of representations induced from little groups ; 4.7 Direct products of induced representations ; 4.8 Symmetrized and anti-symmetrized squares of induced representations. 
520 |a "This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantum-mechanical study of a particle or quasi-particle in a molecule or crystalline solid because the eigenvalues and eigenfunctions of a system belong to the irreducible representations of the group of symmetry operations of that system. The theory is applied to give complete tables of these representations for all the 32 point groups and 230 space groups, including the double-valued representations. For the space groups, the group of the symmetry operations of the k vector and its irreducible representations are given for all the special points of symmetry, lines of symmetry and planes of symmetry in the Brillouin zone. Applications occur in the electronic band structure, phonon dispersion relations and selection rules for particle-quasiparticle interactions in solids. The theory is extended to the corepresentations of the Shubnikov (black and white) point groups and space groups."--Pub. desc 
588 0 |a Print version record. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Solid state physics. 
650 0 |a Representations of groups. 
650 0 |a Symmetry (Physics) 
650 6 |a Physique de l'état solide. 
650 6 |a Représentations de groupes. 
650 6 |a Symétrie (Physique) 
650 7 |a SCIENCE  |x Energy.  |2 bisacsh 
650 7 |a SCIENCE  |x Mechanics  |x General.  |2 bisacsh 
650 7 |a SCIENCE  |x Physics  |x General.  |2 bisacsh 
650 7 |a Representations of groups  |2 fast 
650 7 |a Solid state physics  |2 fast 
650 7 |a Symmetry (Physics)  |2 fast 
650 7 |a Symmetrie  |x Festkörper.  |2 idsbb 
650 7 |a Festkörper  |x Symmetrie.  |2 idsbb 
650 7 |a Symmetriegruppe  |x Kristallstruktur.  |2 idsbb 
650 7 |a Kristallstruktur  |x Symmetriegruppe.  |2 idsbb 
700 1 |a Cracknell, Arthur P. 
776 0 8 |i Print version:  |a Bradley, C.J. (Christopher John).  |t Mathematical theory of symmetry in solids  |z 9780199582587  |w (DLC) 2010287528  |w (OCoLC)456837213 
830 0 |a Oxford classic texts in the physical sciences. 
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