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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford ; New York :
Clarendon Press,
2010.
|
| Schriftenreihe: | Oxford classic texts in the physical sciences.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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 |
| Beschreibung: | 1 online resource (xii, 745 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 684-735) and index. |
| ISBN: | 9780191576898 0191576891 |
Internformat
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| 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. | |
| 650 | 0 | |a Solid state physics. |0 http://id.loc.gov/authorities/subjects/sh85124640 | |
| 650 | 0 | |a Representations of groups. |0 http://id.loc.gov/authorities/subjects/sh85112944 | |
| 650 | 0 | |a Symmetry (Physics) |0 http://id.loc.gov/authorities/subjects/sh85131443 | |
| 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 | |
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| 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 |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn859155300 |
|---|---|
| _version_ | 1816882245584027648 |
| adam_text | |
| any_adam_object | |
| author | Bradley, C. J. (Christopher John) |
| author2 | Cracknell, Arthur P. |
| author2_role | |
| author2_variant | a p c ap apc |
| author_GND | http://id.loc.gov/authorities/names/no96041051 |
| author_facet | Bradley, C. J. (Christopher John) Cracknell, Arthur P. |
| author_role | |
| author_sort | Bradley, C. J. |
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| collection | ZDB-4-EBA |
| 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. |
| ctrlnum | (OCoLC)859155300 |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.41015122 |
| dewey-search | 530.41015122 |
| dewey-sort | 3530.41015122 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn859155300 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:33Z |
| institution | BVB |
| isbn | 9780191576898 0191576891 |
| language | English |
| oclc_num | 859155300 |
| open_access_boolean | |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 745 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Clarendon Press, |
| record_format | marc |
| series | Oxford classic texts in the physical sciences. |
| series2 | Oxford classic texts in the physical sciences |
| spelling | Bradley, C. J. (Christopher John) https://id.oclc.org/worldcat/entity/E39PCjv9fjjVq4pR3RyBdbX7xP http://id.loc.gov/authorities/names/no96041051 The mathematical theory of symmetry in solids : representation theory for point groups and space groups / by C.J. Bradley and A.P. Cracknell. Oxford ; New York : Clarendon Press, 2010. 1 online resource (xii, 745 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Oxford classic texts in the physical sciences Includes bibliographical references (pages 684-735) and index. 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. "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 Print version record. Solid state physics. http://id.loc.gov/authorities/subjects/sh85124640 Representations of groups. http://id.loc.gov/authorities/subjects/sh85112944 Symmetry (Physics) http://id.loc.gov/authorities/subjects/sh85131443 Physique de l'état solide. Représentations de groupes. Symétrie (Physique) SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Representations of groups fast Solid state physics fast Symmetry (Physics) fast Symmetrie Festkörper. idsbb Festkörper Symmetrie. idsbb Symmetriegruppe Kristallstruktur. idsbb Kristallstruktur Symmetriegruppe. idsbb Cracknell, Arthur P. Print version: Bradley, C.J. (Christopher John). Mathematical theory of symmetry in solids 9780199582587 (DLC) 2010287528 (OCoLC)456837213 Oxford classic texts in the physical sciences. http://id.loc.gov/authorities/names/n99011018 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=643652 Volltext |
| spellingShingle | Bradley, C. J. (Christopher John) The mathematical theory of symmetry in solids : representation theory for point groups and space groups / Oxford classic texts in the physical sciences. 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. Solid state physics. http://id.loc.gov/authorities/subjects/sh85124640 Representations of groups. http://id.loc.gov/authorities/subjects/sh85112944 Symmetry (Physics) http://id.loc.gov/authorities/subjects/sh85131443 Physique de l'état solide. Représentations de groupes. Symétrie (Physique) SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Representations of groups fast Solid state physics fast Symmetry (Physics) fast Symmetrie Festkörper. idsbb Festkörper Symmetrie. idsbb Symmetriegruppe Kristallstruktur. idsbb Kristallstruktur Symmetriegruppe. idsbb |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85124640 http://id.loc.gov/authorities/subjects/sh85112944 http://id.loc.gov/authorities/subjects/sh85131443 |
| title | The mathematical theory of symmetry in solids : representation theory for point groups and space groups / |
| title_auth | The mathematical theory of symmetry in solids : representation theory for point groups and space groups / |
| title_exact_search | The mathematical theory of symmetry in solids : representation theory for point groups and space groups / |
| title_full | The mathematical theory of symmetry in solids : representation theory for point groups and space groups / by C.J. Bradley and A.P. Cracknell. |
| title_fullStr | The mathematical theory of symmetry in solids : representation theory for point groups and space groups / by C.J. Bradley and A.P. Cracknell. |
| title_full_unstemmed | The mathematical theory of symmetry in solids : representation theory for point groups and space groups / by C.J. Bradley and A.P. Cracknell. |
| title_short | The mathematical theory of symmetry in solids : |
| title_sort | mathematical theory of symmetry in solids representation theory for point groups and space groups |
| title_sub | representation theory for point groups and space groups / |
| topic | Solid state physics. http://id.loc.gov/authorities/subjects/sh85124640 Representations of groups. http://id.loc.gov/authorities/subjects/sh85112944 Symmetry (Physics) http://id.loc.gov/authorities/subjects/sh85131443 Physique de l'état solide. Représentations de groupes. Symétrie (Physique) SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Representations of groups fast Solid state physics fast Symmetry (Physics) fast Symmetrie Festkörper. idsbb Festkörper Symmetrie. idsbb Symmetriegruppe Kristallstruktur. idsbb Kristallstruktur Symmetriegruppe. idsbb |
| topic_facet | Solid state physics. Representations of groups. Symmetry (Physics) Physique de l'état solide. Représentations de groupes. Symétrie (Physique) SCIENCE Energy. SCIENCE Mechanics General. SCIENCE Physics General. Representations of groups Solid state physics Symmetrie Festkörper. Festkörper Symmetrie. Symmetriegruppe Kristallstruktur. Kristallstruktur Symmetriegruppe. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=643652 |
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