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

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
Creator
Contributor
Subject
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 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
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
Instantiates
Publication
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 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
Dimensions
25 cm.
Extent
xii, 745 p.
Isbn
9780199582587
Lccn
2010287528
Other physical details
ill.
System control number
  • 3766725-01okla_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
Publication
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 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
Dimensions
25 cm.
Extent
xii, 745 p.
Isbn
9780199582587
Lccn
2010287528
Other physical details
ill.
System control number
  • 3766725-01okla_normanlaw
  • (SIRSI)3766725
  • (Sirsi) i9780199582587

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...