The mathematical theory of symmetry in solids: representation theory for point groups and space groups
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Press
1972
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 745 S. graph. Darst. |
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MARC
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| 245 | 1 | 0 | |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 |b Clarendon Press |c 1972 | |
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| 650 | 4 | |a Solides | |
| 650 | 7 | |a Solidos E Fluidos Quanticos |2 larpcal | |
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| 650 | 4 | |a Symétrie (Physique) | |
| 650 | 7 | |a Vastestoffysica |2 gtt | |
| 650 | 4 | |a Representations of groups | |
| 650 | 4 | |a Solid state physics | |
| 650 | 4 | |a Symmetry (Physics) | |
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Record in the Search Index
| _version_ | 1804116381045620736 |
|---|---|
| adam_text | Contents
1. SYMMETRY AND THE SOLID STATE 1
1.1. Introduction 1
1.2. Group theory 7
1.3. Group representations 15
1.4. Point groups 24
1.5. Space groups 37
2. SYMMETRY ADAPTED FUNCTIONS FOR THE POINT GROUPS 51
2.1. The matrix elements of the rotation group 51
2.2. The generation of symmetry adapted functions 54
2.3. Application to the point groups 56
2.4. Symmetry adapted functions for the crystallographic point groups 57
2.5. Active and passive operators 76
2.6. Symmetrized and anti symmetrized products of point group repre¬
sentations 77
3. SPACE GROUPS 81
3.1. Bravais lattices 81
3.2. Reciprocal lattices and Brillouin zones 86
3.3. The classification of points and lines of symmetry 95
3.4. The irreducible representations of the translation groups 119
3.5. The classification of the 230 3 dimensional space groups 121
3.6. The action of space group operations on Bloch functions 144
3.7. A descriptive account of the representation theory of space groups 146
3.8. Examples: cubic close packed and diamond structures 161
4. THE REPRESENTATIONS OF A GROUP IN TERMS OF THE
REPRESENTATIONS OF AN INVARIANT SUBGROUP 171
4.1. Induced representations 171
4.2. Groups with an invariant subgroup 176
4.3. The theory of little groups 181
4.4. The small representations of little groups 184
4.5. The point groups as semi direct products 186
4.6. The reality of representations induced from little groups 201
4.7. Direct products of induced representations 204
4.8. Symmetrized and anti symmetrized squares of induced representations 215
xii CONTENTS
5. THE SINGLE VALUED REPRESENTATIONS OF THE 230 SPACE
GROUPS 225
5.1. Abstract groups 225
5.2. The single valued representations of the 230 space groups 285
5.3. The labels of space group representations 389
5.4. Example of the use of the tables of the space group representations 397
5.5. Representation domain and basic domain 407
6. THE DOUBLE VALUED REPRESENTATIONS OF THE 32 POINT
GROUPS AND THE 230 SPACE GROUPS 418
6.1. The double valued representations of the point groups 418
6.2. Symmetry adapted functions for double point groups 437
6.3. The double valued representations of the space groups 454
6.4. An example of the deduction of the representations of a double space 458
group
6.5. The double valued representations of the 230 space groups 467
7. THE MAGNETIC GROUPS AND THEIR COREPRESENTATIONS 569
7.1. The Shubnikov groups and their derivation 69
7.2. The classification of Shubnikov groups 0
7.3. Anti unitary operations and the corepresentations of magnetic groups 605
7.4. The Kronecker products of corepresentations 618
7.5. The corepresentations of the magnetic point groups 622
7.6. The corepresentations of the magnetic space groups 638
7.7. Example: the space group corepresentations of P4 2/mnm and their 652
Kronecker products
7.8. Spin space groups 669
7.9. Polychromatic point groups and space groups 677
APPENDIX 682
BIBLIOGRAPHY 684
SUBJECT INDEX 737
|
| any_adam_object | 1 |
| author | Bradley, Christopher J. 1938- Cracknell, Arthur P. 1940- |
| author_GND | (DE-588)142517836 (DE-588)136048153 |
| author_facet | Bradley, Christopher J. 1938- Cracknell, Arthur P. 1940- |
| author_role | aut aut |
| author_sort | Bradley, Christopher J. 1938- |
| author_variant | c j b cj cjb a p c ap apc |
| building | Verbundindex |
| bvnumber | BV001940756 |
| callnumber-first | Q - Science |
| callnumber-label | QC176 |
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| callnumber-search | QC176 |
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| callnumber-subject | QC - Physics |
| classification_rvk | UP 1200 UQ 1350 VE 5700 |
| ctrlnum | (OCoLC)447581 (DE-599)BVBBV001940756 |
| dewey-full | 530.4/1/015122 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.4/1/015122 |
| dewey-search | 530.4/1/015122 |
| dewey-sort | 3530.4 11 515122 |
| dewey-tens | 530 - Physics |
| discipline | Chemie / Pharmazie Physik |
| format | Book |
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| id | DE-604.BV001940756 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:37:36Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001264918 |
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| physical | XII, 745 S. graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Clarendon Press |
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| spelling | Bradley, Christopher J. 1938- Verfasser (DE-588)142517836 aut The mathematical theory of symmetry in solids representation theory for point groups and space groups by C. J. Bradley and A. P. Cracknell Oxford Clarendon Press 1972 XII, 745 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Puntgroepen gtt Representatie (wiskunde) gtt Représentations de groupes Ruimtegroepen gtt Solides Solidos E Fluidos Quanticos larpcal Symmetrie gtt Symétrie (Physique) Vastestoffysica gtt Representations of groups Solid state physics Symmetry (Physics) Festkörperphysik (DE-588)4016921-2 gnd rswk-swf Kristallsymmetrie (DE-588)4136175-1 gnd rswk-swf Kristallstruktur (DE-588)4136176-3 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Festkörper (DE-588)4016918-2 s Symmetrie (DE-588)4058724-1 s DE-604 Festkörperphysik (DE-588)4016921-2 s Kristallstruktur (DE-588)4136176-3 s Kristallsymmetrie (DE-588)4136175-1 s Gruppentheorie (DE-588)4072157-7 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Cracknell, Arthur P. 1940- Verfasser (DE-588)136048153 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001264918&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bradley, Christopher J. 1938- Cracknell, Arthur P. 1940- The mathematical theory of symmetry in solids representation theory for point groups and space groups Puntgroepen gtt Representatie (wiskunde) gtt Représentations de groupes Ruimtegroepen gtt Solides Solidos E Fluidos Quanticos larpcal Symmetrie gtt Symétrie (Physique) Vastestoffysica gtt Representations of groups Solid state physics Symmetry (Physics) Festkörperphysik (DE-588)4016921-2 gnd Kristallsymmetrie (DE-588)4136175-1 gnd Kristallstruktur (DE-588)4136176-3 gnd Gruppentheorie (DE-588)4072157-7 gnd Mathematische Physik (DE-588)4037952-8 gnd Symmetrie (DE-588)4058724-1 gnd Festkörper (DE-588)4016918-2 gnd |
| subject_GND | (DE-588)4016921-2 (DE-588)4136175-1 (DE-588)4136176-3 (DE-588)4072157-7 (DE-588)4037952-8 (DE-588)4058724-1 (DE-588)4016918-2 |
| 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 | the 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 | Puntgroepen gtt Representatie (wiskunde) gtt Représentations de groupes Ruimtegroepen gtt Solides Solidos E Fluidos Quanticos larpcal Symmetrie gtt Symétrie (Physique) Vastestoffysica gtt Representations of groups Solid state physics Symmetry (Physics) Festkörperphysik (DE-588)4016921-2 gnd Kristallsymmetrie (DE-588)4136175-1 gnd Kristallstruktur (DE-588)4136176-3 gnd Gruppentheorie (DE-588)4072157-7 gnd Mathematische Physik (DE-588)4037952-8 gnd Symmetrie (DE-588)4058724-1 gnd Festkörper (DE-588)4016918-2 gnd |
| topic_facet | Puntgroepen Representatie (wiskunde) Représentations de groupes Ruimtegroepen Solides Solidos E Fluidos Quanticos Symmetrie Symétrie (Physique) Vastestoffysica Representations of groups Solid state physics Symmetry (Physics) Festkörperphysik Kristallsymmetrie Kristallstruktur Gruppentheorie Mathematische Physik Festkörper |
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