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The Resource The mathematical theory of symmetry in solids : representation theory for point groups and space groups, by C.J. Bradley and A.P. Cracknell
The mathematical theory of symmetry in solids : representation theory for point groups and space groups, by C.J. Bradley and A.P. Cracknell
Resource Information
The item The mathematical theory of symmetry in solids : representation theory for point groups and space groups, by C.J. Bradley and A.P. Cracknell represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item The mathematical theory of symmetry in solids : representation theory for point groups and space groups, by C.J. Bradley and A.P. Cracknell represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 "This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantummechanical study of a particle or quasiparticle 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 doublevalued 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 particlequasiparticle interactions in solids. The theory is extended to the corepresentations of the Shubnikov (black and white) point groups and space groups."pub. desc
 Language
 eng
 Extent
 xii, 745 p.
 Contents

 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 SymmetryAdapted Functions for the Point Groups ; 2.1 The matrix elements of the rotation group ; 2.2 The generation of symmetryadapted functions ; 2.3 Application to the point groups ; 2.4 Symmetryadapted functions for the crystallographic point groups ; 2.5 Active and passive operators ; 2.6 Symmetrized and antisymmetrized products of pointgroup 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 3dimensional space groups ; 3.6 The action of spacegroup operations on Bloch functions ; 3.7 A descriptive account of the representation theory of space groups ; 3.8 Examples: cubic closepacked 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 semidirect products ; 4.6 The reality of representations induced from little groups ; 4.7 Direct products of induced representations ; 4.8 Symmetrized and antisymmetrized squares of induced representations
 Isbn
 9780199582587
 Label
 The mathematical theory of symmetry in solids : representation theory for point groups and space groups
 Title
 The mathematical theory of symmetry in solids
 Title remainder
 representation theory for point groups and space groups
 Statement of responsibility
 by C.J. Bradley and A.P. Cracknell
 Language
 eng
 Summary
 "This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantummechanical study of a particle or quasiparticle 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 doublevalued 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 particlequasiparticle interactions in solids. The theory is extended to the corepresentations of the Shubnikov (black and white) point groups and space groups."pub. desc
 Cataloging source
 DLC
 http://library.link/vocab/creatorName
 Bradley, C. J.
 Dewey number
 530.41015122
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QC176
 LC item number
 .B65 2010
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Cracknell, Arthur P
 Series statement
 Oxford classic texts in the physical sciences
 http://library.link/vocab/subjectName

 Solid state physics
 Representations of groups
 Symmetry (Physics)
 Symmetrie
 Festkörper
 Symmetriegruppe
 Kristallstruktur
 Label
 The mathematical theory of symmetry in solids : representation theory for point groups and space groups, by C.J. Bradley and A.P. Cracknell
 Bibliography note
 Includes bibliographical references (p. [684]735) and index
 Contents
 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 SymmetryAdapted Functions for the Point Groups ; 2.1 The matrix elements of the rotation group ; 2.2 The generation of symmetryadapted functions ; 2.3 Application to the point groups ; 2.4 Symmetryadapted functions for the crystallographic point groups ; 2.5 Active and passive operators ; 2.6 Symmetrized and antisymmetrized products of pointgroup 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 3dimensional space groups ; 3.6 The action of spacegroup operations on Bloch functions ; 3.7 A descriptive account of the representation theory of space groups ; 3.8 Examples: cubic closepacked 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 semidirect products ; 4.6 The reality of representations induced from little groups ; 4.7 Direct products of induced representations ; 4.8 Symmetrized and antisymmetrized squares of induced representations
 Dimensions
 25 cm.
 Extent
 xii, 745 p.
 Isbn
 9780199582587
 Lccn
 2010287528
 Other physical details
 ill.
 System control number

 376672501okla_normanlaw
 (SIRSI)3766725
 (Sirsi) i9780199582587
 Label
 The mathematical theory of symmetry in solids : representation theory for point groups and space groups, by C.J. Bradley and A.P. Cracknell
 Bibliography note
 Includes bibliographical references (p. [684]735) and index
 Contents
 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 SymmetryAdapted Functions for the Point Groups ; 2.1 The matrix elements of the rotation group ; 2.2 The generation of symmetryadapted functions ; 2.3 Application to the point groups ; 2.4 Symmetryadapted functions for the crystallographic point groups ; 2.5 Active and passive operators ; 2.6 Symmetrized and antisymmetrized products of pointgroup 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 3dimensional space groups ; 3.6 The action of spacegroup operations on Bloch functions ; 3.7 A descriptive account of the representation theory of space groups ; 3.8 Examples: cubic closepacked 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 semidirect products ; 4.6 The reality of representations induced from little groups ; 4.7 Direct products of induced representations ; 4.8 Symmetrized and antisymmetrized squares of induced representations
 Dimensions
 25 cm.
 Extent
 xii, 745 p.
 Isbn
 9780199582587
 Lccn
 2010287528
 Other physical details
 ill.
 System control number

 376672501okla_normanlaw
 (SIRSI)3766725
 (Sirsi) i9780199582587
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