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
2010
|
| Edition: | 1. publ. in paperback with corr. |
| Series: | Oxford classic texts in the physical sciences
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | xii, 745 S. graph. Darst. |
| ISBN: | 9780199582587 |
Staff View
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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 |
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Record in the Search Index
| _version_ | 1804145487553495040 |
|---|---|
| adam_text | Titel: The mathematical theory of symmetry in solids
Autor: Bradley, Christopher J
Jahr: 2010
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 ofthe translation groups 119
3.5. The Classification ofthe 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 oflittle 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 labeis 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 ofthe deduction ofthe 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 569
7.2. The Classification of Shubnikov groups 570
7.3. Anti-unitary Operations and the corepresentations of magnetic groups ^05
7.4. The Kronecker products of corepresentations ^
7.5. The corepresentations of the magnetic point groups 622
7.6. The corepresentations of the magnetic space groups -*8
7.7. Example: the space-group corepresentations of P4 2/mnm and their ^52
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 | BV026853924 |
| callnumber-first | Q - Science |
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| callnumber-raw | QC176 |
| callnumber-search | QC176 |
| callnumber-sort | QC 3176 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 260 UP 1200 UQ 1350 |
| ctrlnum | (OCoLC)772859912 (DE-599)GBV611242095 |
| dewey-full | 530.41015122 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.41015122 |
| dewey-search | 530.41015122 |
| dewey-sort | 3530.41015122 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 1. publ. in paperback with corr. |
| format | Book |
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| institution | BVB |
| isbn | 9780199582587 |
| language | English |
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| physical | xii, 745 S. graph. Darst. |
| publishDate | 2010 |
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| 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 1. publ. in paperback with corr. Oxford Clarendon Press 2010 xii, 745 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford classic texts in the physical sciences Hier auch später erschienene, unveränderte Nachdrucke Symmetrie (DE-588)4058724-1 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Kristallsymmetrie (DE-588)4136175-1 gnd rswk-swf Kristallstruktur (DE-588)4136176-3 gnd rswk-swf Festkörperphysik (DE-588)4016921-2 gnd rswk-swf 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 DE-604 Festkörper (DE-588)4016918-2 s Symmetrie (DE-588)4058724-1 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=022382172&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 Symmetrie (DE-588)4058724-1 gnd Mathematische Physik (DE-588)4037952-8 gnd Festkörper (DE-588)4016918-2 gnd Gruppentheorie (DE-588)4072157-7 gnd Kristallsymmetrie (DE-588)4136175-1 gnd Kristallstruktur (DE-588)4136176-3 gnd Festkörperphysik (DE-588)4016921-2 gnd |
| subject_GND | (DE-588)4058724-1 (DE-588)4037952-8 (DE-588)4016918-2 (DE-588)4072157-7 (DE-588)4136175-1 (DE-588)4136176-3 (DE-588)4016921-2 |
| 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 | Symmetrie (DE-588)4058724-1 gnd Mathematische Physik (DE-588)4037952-8 gnd Festkörper (DE-588)4016918-2 gnd Gruppentheorie (DE-588)4072157-7 gnd Kristallsymmetrie (DE-588)4136175-1 gnd Kristallstruktur (DE-588)4136176-3 gnd Festkörperphysik (DE-588)4016921-2 gnd |
| topic_facet | Symmetrie Mathematische Physik Festkörper Gruppentheorie Kristallsymmetrie Kristallstruktur Festkörperphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022382172&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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