Representations of the crystallographic space groups: irreducible representations, induced representations and corepresentations
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Yverdon [u.a.]
Gordon and Breach
1993
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russ. übers. |
| Physical Description: | XIV, 390 S. graph. Darst. |
| ISBN: | 2881249345 |
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MARC
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| 240 | 1 | 0 | |a Neprivodimye i inducirovannye predstavlenija i kopredstavlenija fedorovskich grupp |
| 245 | 1 | 0 | |a Representations of the crystallographic space groups |b irreducible representations, induced representations and corepresentations |c O. V. Kovalev |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Yverdon [u.a.] |b Gordon and Breach |c 1993 | |
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| adam_text | Contents
Editors Preface vii
Preface ix
List of Abbreviations xv
1. Theoretical Considerations and Explanation of Tables 1
§1 Crystallographic Space Groups 1
1 Rotations 1
2 Bravais Lattices 7
3 Local Groups 9
4 Information on CSGs and Local Groups in the Tables 11
§2 Irreducible Representations 13
1 Representations of Simple Groups 13
2 Representations of Double Groups 14
3 Choice of k Vectors 17
§3 Corepresentations 24
1 Irreducible Corepresentations 24
2 Information on SICRs in Chapter 2 28
§4 Induced Representations 29
1 Induction of IRs of Local Groups 29
2 Information in the Tables 32
§5 Examples 33
1 Obtaining Related LIRs 33
2 Reduction of Type a SICRs to Real Form 34
3 Computation of InRs of Double Groups 35
4 Computation of InRs at Asymmetric Points 36
5 Defini don of S ubgroups by the Method of STIR 37
6 The Symmetrizing Matrix 41
7 Special InRs 45
8 Points of Zero Inclination 48
vi Contents
2. Small Irreducible Representations, Irreducible
Corepresentations, and Induced Representations of the 230
Crystallographic Space Groups 51
§6 Triclinic System, Lattice T 51
§7 Monoclinic System, Lattice M 53
§8 Monoclinic System, Lattice Me 57
§9 Orthorhombic System, Lattice 0 60
§10 Orthorhombic System, Lattice Oc 80
§ 10a Orthorhombic System, Lattice Oa 90
§11 Orthorhombic System, Lattice Of 93
§12 Orthorhombic System, Lattice Ov 98
§13 Tetragonal System, Lattice Q 105
§14 Tetragonal System, Lattice Qv 139
§15 Cubic System, Lattice C 152
§16 Cubic System, Lattice Cf 167
§17 Cubic System, Lattice Cv 179
§ 18 Hexagonal System, Lattice H 188
§19 Rhombohedral System, Lattice Rh 217
3. Tables of Loaded Irreducible Representations 221
§20 Matrix Symbols 222
§21 Tables of LIRs of Simple Groups (C System) 229
§22 Tables of LIRs of Simple Groups (H System) 250
§23 Tables of LIRs of Double Groups (C System) 256
§24 Tables of LIRs of Double Groups (H System) 277
4. Complete Irreducible Representations of the Crystallographic
Space Groups 283
§25 Calculations of CIRs by the Method of Conventional
Products 285
§26 Tables of CIRs 290
Appendices 329
1 Characters of IRs of Simple Local Groups 329
2 Characters of IRs of Double Local Groups 336
3 Matrices B and S 343
4 Multiplication Table of C Rotations 344
5 Multiplication Table of H Rotations 346
6 Table of Triple Products for C Rotations 348
7 Table of Triple Products for H Rotations 350
8 Antiunitary Interaction in Vibration Theory 352
9 Symmetry and Classification of Energy Bands 360
References 381
Index 385
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| discipline | Chemie / Pharmazie Physik Mathematik |
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| id | DE-604.BV009641803 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:38:25Z |
| institution | BVB |
| isbn | 2881249345 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006372736 |
| oclc_num | 28212647 |
| open_access_boolean | |
| owner | DE-824 DE-703 DE-83 DE-11 |
| owner_facet | DE-824 DE-703 DE-83 DE-11 |
| physical | XIV, 390 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Gordon and Breach |
| record_format | marc |
| spelling | Kovalev, Oleg V. Verfasser aut Neprivodimye i inducirovannye predstavlenija i kopredstavlenija fedorovskich grupp Representations of the crystallographic space groups irreducible representations, induced representations and corepresentations O. V. Kovalev 2. ed. Yverdon [u.a.] Gordon and Breach 1993 XIV, 390 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Russ. übers. Representations of groups Space groups Raumgruppe (DE-588)4177070-5 gnd rswk-swf Irreduzible Darstellung (DE-588)4162430-0 gnd rswk-swf Raumgruppe (DE-588)4177070-5 s DE-604 Irreduzible Darstellung (DE-588)4162430-0 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006372736&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kovalev, Oleg V. Representations of the crystallographic space groups irreducible representations, induced representations and corepresentations Representations of groups Space groups Raumgruppe (DE-588)4177070-5 gnd Irreduzible Darstellung (DE-588)4162430-0 gnd |
| subject_GND | (DE-588)4177070-5 (DE-588)4162430-0 |
| title | Representations of the crystallographic space groups irreducible representations, induced representations and corepresentations |
| title_alt | Neprivodimye i inducirovannye predstavlenija i kopredstavlenija fedorovskich grupp |
| title_auth | Representations of the crystallographic space groups irreducible representations, induced representations and corepresentations |
| title_exact_search | Representations of the crystallographic space groups irreducible representations, induced representations and corepresentations |
| title_full | Representations of the crystallographic space groups irreducible representations, induced representations and corepresentations O. V. Kovalev |
| title_fullStr | Representations of the crystallographic space groups irreducible representations, induced representations and corepresentations O. V. Kovalev |
| title_full_unstemmed | Representations of the crystallographic space groups irreducible representations, induced representations and corepresentations O. V. Kovalev |
| title_short | Representations of the crystallographic space groups |
| title_sort | representations of the crystallographic space groups irreducible representations induced representations and corepresentations |
| title_sub | irreducible representations, induced representations and corepresentations |
| topic | Representations of groups Space groups Raumgruppe (DE-588)4177070-5 gnd Irreduzible Darstellung (DE-588)4162430-0 gnd |
| topic_facet | Representations of groups Space groups Raumgruppe Irreduzible Darstellung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006372736&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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