Crystal properties via group theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
1995
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| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 228 S. graph. Darst. |
| ISBN: | 052141945X |
Internformat
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| 245 | 1 | 0 | |a Crystal properties via group theory |c Arthur S. Nowick |
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Datensatz im Suchindex
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|---|---|
| adam_text | CRYSTAL PROPERTIES VIA GROUP THEORY ARTHUR S. NO WICK HENRY MARION HOWE
PROFESSOR EMERITUS OF MATERIALS SCIENCE COLUMBIA UNIVERSITY, NEW YORK
CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE PAGE XIII 1 TENSOR
PROPERTIES OF CRYSTALS: EQUILIBRIUM PROPERTIES 1 1-1 DEFINITION OF
CRYSTAL PROPERTIES 1 1-2 PHYSICAL QUANTITIES AS TENSORS; TENSOR
PROPERTIES 3 1-3 THE BASIC LINEAR RELATIONS 4 1-4 CONDENSATION OF
INDICES: THE ENGINEERING STRESSES AND STRAINS 8 1-5 EFFECT OF CHANGING
THE CONDITIONS OF MEASUREMENT 10 1-6 HIGHER-ORDER EFFECTS 12 1-6-1
PERMITTIVITY AND OPTICAL PROPERTIES 12 1-6-2 THIRD-ORDER ELASTIC
CONSTANTS 15 1-7 OPTICAL ACTIVITY: THE GYRATION TENSOR 16 1-8 SUMMARY OF
EQUILIBRIUM PROPERTIES 17 PROBLEMS 19 TENSOR PROPERTIES OF CRYSTALS:
TRANSPORT PROPERTIES 20 2-1 GENERAL THEORY 20 2-2 THERMOELECTRIC EFFECTS
22 2-3 PIEZORESISTANCE 24 2-4 GALVANOMAGNETIC AND THERMOMAGNETIC EFFECTS
24 2-5 SUMMARY OF TRANSPORT PROPERTIES 28 2-6 PROPERTIES THAT CANNOT BE
REPRESENTED BY TENSORS 28 PROBLEMS 30 REVIEW OF GROUP THEORY 31 3-1
CRYSTAL SYMMETRY AND THE POINT GROUPS 31 3-2 REPRESENTATION THEORY 40 IX
X CONTENTS 3-3 THE CHARACTER TABLES 44 3-4 CONCEPT OF SYMMETRY
COORDINATES 46 3-5 CONCEPT OF SIMILARITY OF ORIENTATION 53 PROBLEMS 61
LINEAR RELATIONS TREATED GROUP THEORETICALLY 64 4-1 INTRODUCTION AND
NEUMANN S PRINCIPLE 64 4-2 TENSOR QUANTITIES AS HYPERVECTORS 65 4-3 THE
SYMMETRY-COORDINATE TRANSFORMATION (S-C-T) TABLES 67 4-4 THE FUNDAMENTAL
THEOREM 70 4-5 APPLICATIONS OF THE FUNDAMENTAL THEOREM 71 4-6
ALTERNATIVE TREATMENTS 76 PROBLEMS 78 THE MAGNETIC POINT GROUPS AND TIME
REVERSAL 80 5-1 THE MAGNETIC POINT GROUPS 81 5-2 NEUMANN S PRINCIPLE IN
SPACE-TIME 83 5-3 APPLICATION TO NON-MAGNETIC CRYSTALS 85 5-4
APPLICATION TO MAGNETIC CRYSTALS 85 5-5 CONCLUSIONS 89 PROBLEMS 92
MATTER TENSORS OF RANK 0,1 AND 2 93 6-1 SCALAR QUANTITIES (RANK 0) 93
6-2 POLAR VECTOR QUANTITIES (RANK 1) 93 6-2-1 FORM OF THE * TENSOR 93
6-2-2 APPLICATION TO PYROELECTRIC EFFECT; FERROELECTRICS 94 6-3 AXIAL
VECTOR QUANTITIES 95 6-4 SECOND-RANK TENSOR QUANTITIES 96 6-4-1 FORMS OF
THE * TENSOR FOR VARIOUS CRYSTAL SYMMETRIES 96 6-4-2 PROPERTY * IN AN
ARBITRARY DIRECTION 100 6-4-3 FURTHER REMARKS ON T{2) MATTER TENSORS 101
6-4-4 APPLICATION TO DIFFUSIVITY AND ELECTRICAL CONDUCTIVITY 102 6-4-5
APPLICATION TO THE OPTICAL INDICATRIX 104 6-4-6 APPLICATION TO THE HALL
TENSOR 106 6-5 SECOND-RANK AXIAL TENSORS 107 6-5-1 FORMS OF THE * TENSOR
FOR VARIOUS CRYSTAL SYMMETRIES 107 6-5-2 APPLICATION TO OPTICAL
ACTIVITY: CASE OF QUARTZ 111 PROBLEMS 111 CONTENTS XI 7 MATTER TENSORS
OF RANK 3 113 7-1 PARTLY SYMMETRIC TENSORS OF RANK 3 113 7-1-1 FORM OF
THE * TENSOR FOR VARIOUS CRYSTAL SYMMETRIES 114 7-1-2 APPLICATION TO
PIEZOELECTRICITY: QUARTZ AND PZT 118 7-1-3 APPLICATION TO THE LINEAR
ELECTRO-OPTIC EFFECT 120 7-2 NON-SYMMETRIC TENSORS OF RANK 3 124 7-3
AXIAL TENSORS OF RANK 3 125 7-4 POLAR TENSORS OF RANK 3 REVISITED 128
PROBLEMS 131 8 SPECIAL MAGNETIC PROPERTIES 132 8-1 C-TENSORS OF RANK 1:
THE MAGNETOCALORIC EFFECT 133 8-2 C-TENSORS OF RANK 2: THE
MAGNETOELECTRIC EFFECT 135 8-3 C-TENSORS OF RANK 3: THE PIEZOMAGNETIC
EFFECT 137 8-4 SYMMETRIC C-TENSORS OF RANK 3: HIGHER-ORDER MAGNETIC
PERMEABILITY 141 PROBLEMS 144 9 MATTER TENSORS OF RANKS 4 AND 5 145 9-1
RELATION BETWEEN T S (2) AND R S (2) 145 9-2 APPLICATION TO ELASTIC
CONSTANTS 151 9-3 SOME APPLICATIONS OF NON-SYMMETRIC *(4) TENSORS 159
9-4 RELATION BETWEEN T S (2) AND T(2): MAGNETOTHERMOELECTRIC POWER 162
9-5 RELATION BETWEEN *(1) AND T S (3): THE SECOND-ORDER HALL EFFECT 166
9-6 OTHER POSSIBILITIES INVOLVING TRIPLE PRODUCTS 169 PROBLEMS 171 10
MATTER TENSORS OF RANK 6 173 10-1 RELATION BETWEEN R S (2) AND T S (4)
173 10-1-1 CASE OF THE UPPER HEXAGONAL GROUPS 176 10-1-2 CASE OF THE
UPPER CUBIC AND ISOTROPIC MATERIALS 181 10-2 APPLICATION TO THIRD-ORDER
ELASTIC CONSTANTS 184 10-3 OTHER CASES OF *(6) TENSORS 187 PROBLEMS 190
APPENDICES 192 A REVIEW OF TENSORS 192 * STRESS, STRAIN AND ELASTICITY
199 XLL CONTENTS * FINITE DEFORMATION 203 D THE GREAT ORTHOGONALITY
THEOREM 204 E THE SYMMETRY-COORDINATE TRANSFORMATION TABLES FOR THE 32
POINT GROUPS AND TWO INFINITE GROUPS 206 F PROOF OF THE FUNDAMENTAL
THEOREM 217 G THEOREMS CONCERNING MAGNETIC GROUPS 219 REFERENCES 22 2
INDEX 226
|
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| dewey-full | 548/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 548 - Crystallography |
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| dewey-sort | 3548 17 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie Geowissenschaften Physik Chemie Mathematik |
| edition | 1. publ. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:59:00Z |
| institution | BVB |
| isbn | 052141945X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007210015 |
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| physical | XV, 228 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Cambridge Univ. Press |
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| spelling | Nowick, Arthur S. Verfasser aut Crystal properties via group theory Arthur S. Nowick 1. publ. Cambridge Cambridge Univ. Press 1995 XV, 228 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Crystallography, Mathematical Group theory Kristallphysik (DE-588)4165768-8 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Kristallphysik (DE-588)4165768-8 s DE-604 Gruppentheorie (DE-588)4072157-7 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007210015&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nowick, Arthur S. Crystal properties via group theory Crystallography, Mathematical Group theory Kristallphysik (DE-588)4165768-8 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4165768-8 (DE-588)4072157-7 |
| title | Crystal properties via group theory |
| title_auth | Crystal properties via group theory |
| title_exact_search | Crystal properties via group theory |
| title_full | Crystal properties via group theory Arthur S. Nowick |
| title_fullStr | Crystal properties via group theory Arthur S. Nowick |
| title_full_unstemmed | Crystal properties via group theory Arthur S. Nowick |
| title_short | Crystal properties via group theory |
| title_sort | crystal properties via group theory |
| topic | Crystallography, Mathematical Group theory Kristallphysik (DE-588)4165768-8 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Crystallography, Mathematical Group theory Kristallphysik Gruppentheorie |
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