International tables for crystallography: D Physical properties of crystals
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
2003
|
Ausgabe: | 1. ed. |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 522 S. Ill., graph. Darst. 1 CD-ROM (12 cm) |
ISBN: | 1402007140 |
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020 | |a 1402007140 |9 1-4020-0714-0 | ||
035 | |a (OCoLC)314278391 | ||
035 | |a (DE-599)BVBBV017787779 | ||
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100 | 1 | |a Authier, André |e Verfasser |4 aut | |
245 | 1 | 0 | |a International tables for crystallography |n D |p Physical properties of crystals |c ed. by Theo Hahn |
250 | |a 1. ed. | ||
264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 2003 | |
300 | |a XI, 522 S. |b Ill., graph. Darst. |e 1 CD-ROM (12 cm) | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
700 | 1 | |a Hahn, Theo |d 1928-2016 |e Sonstige |0 (DE-588)143795198 |4 oth | |
700 | 1 | |a Shmueli, Uri |e Sonstige |4 oth | |
700 | 1 | |a Wilson, Arthur J. C. |d 1914- |e Sonstige |0 (DE-588)118186191 |4 oth | |
710 | 2 | |a Internationale Union für Kristallographie |e Sonstige |0 (DE-588)4721-1 |4 oth | |
773 | 0 | 8 | |w (DE-604)BV001208471 |g D |
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999 | |a oai:aleph.bib-bvb.de:BVB01-010681430 |
Datensatz im Suchindex
_version_ | 1804130488544133120 |
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adam_text | Contents
PAGE
Preface (A. Authier)
.................................................................... xi
PART
1.
TENSORIAL
ASPECTS OF PHYSICAL PROPERTIES
1.1.
Introduction to the properties of tensors (A. Authier)
............................................ 3
1.1.1.
The matrix of physical properties
...................................................... 3
1.1.2.
Basic properties of vector spaces
...................................................... 5
1.1.3.
Mathematical notion of tensor
........................................................ 7
1.1.4.
Symmetry properties
.............................................................. 10
1.1.5.
Thermodynamic functions and physical property tensors
...................................... 31
1.1.6.
Glossary
...................................................................... 32
1.2.
Representations of
cristallographie
groups (T.
Janssen)
............................................ 34
1.2.1.
Introduction
.................................................................... 34
1.2.2.
Point groups
.................................................................. 35
1.2.3.
Space groups
.................................................................. 46
1.2.4.
Tensors
...................................................................... 51
1.2.5.
Magnetic symmetry
.............................................................. 53
1.2.6.
Tables
...................................................................... 56
1.2.7.
Introduction to the accompanying software
Τβηχατ
(M.
Ephraim,
T.
Janssen,
A.
Janner
and A. Thiers)
.......... 62
1.2.8.
Glossary
...................................................................... 70
13.
Elastic properties (A. Authier and A. Zarembowitch)
............................................ 72
1.3.1.
Strain tensor
.................................................................. 72
1.3.2.
Stress tensor
.................................................................. 76
1.33.
Linear elasticity
................................................................ 80
1.3.4.
Propagation of elastic waves in continuous media
-
dynamic elasticity
.............................. 86
1.3.5.
Pressure dependence and temperature dependence of the elastic constants
............................ 89
1.3.6.
Nonlinear elasticity
.............................................................. 91
13.7.
Nonlinear dynamic elasticity
........................................................ 94
13.8.
Glossary
...................................................................... 97
1.4.
Thermal expansion (H.
Küppers) .......................................................... 99
1.4.1.
Definition, symmetry and representation surfaces
............................................ 99
1.4.2. Grüneisen
relation
................................................................ 100
1.43.
Experimental methods
............................................................ 101
1.4.4.
Relation to crystal structure
........................................................ 103
1.4.5.
Glossary
...................................................................... 104
1.5.
Magnetic properties (A. S. Borovik-Romanov and H. Grimmer)
...................................... 105
1.5.1.
Introduction
.................................................................... 105
1.5.2.
Magnetic symmetry
.............................................................. 109
1.5.3.
Phase transitions into a magnetically ordered state
.......................................... 116
1.5.4.
Domain structure
................................................................ 125
1.5.5.
Weakly non-collinear magnetic structures
................................................ 127
1.5.6.
Reorientation
transitions
............................................................ 131
1.5.7.
Piezomagnetism
................................................................ 132
1.5.8.
Magnetoelectric effect
............................................................ 137
1.5.9.
Magnetostriction
................................................................ 142
1.5.10.
Transformation from Gaussian to SI units
................................................ 146
1.5.11.
Glossary
.................................................................... 146
vii
CONTENTS
1.6.
Classical
linear
crystal optics
(A. M. Glazer and K. G.
Cox)
........................................
15°
1.6.1.
Introduction
....................................................................
15°
1.6.2.
Generalized optical, electro-optic and magneto-optic effects
....................................
15°
1.6.3.
Linear optics
..................................................................
^
1.6.4.
Practical observation of crystals
...................................................... 154
1.6.5.
Optical rotation
................................................................
166
1.6.6.
Linear electro-optic effect
.......................................................... 172
1.6.7.
The linear photoelastic effect
........................................................ 173
1.6.8.
Glossary
...................................................................... 176
1.7.
Nonlinear optical properties (B.
Boulanger
and J. Zyss)
.......................................... 178
1.7.1.
Introduction
.................................................................... 178
1.7.2.
Origin and symmetry of optical nonlinearities
.............................................. 178
1.7.3.
Propagation phenomena
............................................................ 183
1.7.4.
Determination of basic nonlinear parameters
.............................................. 212
1.7.5.
The main nonlinear crystals
.......................................................... 214
1.7.6.
Glossary
...................................................................... 216
1.8.
Transport properties
(G. D.
Mahan)
........................................................ 220
1.8.1.
Introduction
.................................................................... 220
1.8.2.
Macroscopic equations
............................................................ 220
1.8.3.
Electrical resistivity
.............................................................. 220
1.8.4.
Thermal conductivity
.............................................................. 224
1.8.5.
Seebeck coefficient
................................................................ 226
1.8.6.
Glossary
...................................................................... 227
1.9.
Atomic displacement parameters (W. F.
Кинѕ)
.................................................. 228
1.9.1.
Introduction
.................................................................... 228
1.9.2.
The atomic displacement parameters (ADPs)
.............................................. 228
1.9.3.
Site-symmetry restrictions
.......................................................... 232
1.9.4.
Graphical representation
.......................................................... 232
1.9.5.
Glossary
...................................................................... 242
1.10.
Tensors in quasiperiodic structures (T.
Janssen)
................................................ 243
1.10.1.
Quasiperiodic structures
.......................................................... 243
1.10.2.
Symmetry
.................................................................... 245
1.10.3.
Action of the symmetry group
...................................................... 247
1.10.4.
Tensors
...................................................................... 249
1.10.5.
Tables
...................................................................... 255
PART
2.
SYMMETRY ASPECTS OF EXCITATIONS
2.1.
Phonons (G. Eckold)
.................................................................. 266
2.1.1.
Introduction
................................................ 266
2.1.2.
Fundamentals of lattice dynamics in the harmonic approximation
............................ 266
2.13.
Symmetry of lattice vibrations
...................................... 274
2.1.4.
Conclusion
.............................................. 291
2.1.5.
Glossary
................................................ 291
2.2.
Electrons (K.
Schwarz) .......................................... 294
2.2.1.
Introduction
..................................... 294
2.2.2.
The lattice
............................................ 294
2.2.3.
Symmetry operators
.................................... 294
2.2.4.
The Bloch theorem
................................. 295
2.2.5.
The free-electron
(Sommerfeld)
model
.............................. 297
viii
CONTENTS
2.2.6.
Space-group symmetry
............................................................ 297
2.2.7.
The
к
vector and the Brillouin zone
.................................................... 298
2.2.8.
Bloch functions
.................................................................. 299
2.2.9.
Quantum-mechanical treatment
...................................................... 299
2.2.10.
Density functional theory
.......................................................... 300
2.2.11.
Band-theory methods
............................................................ 301
2.2.12.
The linearized augmented plane wave method
............................................ 303
2.2.13.
The local coordinate system
........................................................ 304
2.2.14.
Characterization of Bloch states
...................................................... 305
2.2.15.
Electric field gradient tensor
........................................................ 307
2.2.16.
Examples
.................................................................... 310
2.2.17.
Conclusion
.................................................................... 312
2.3.
Raman scattering
(I. Gregora)
............................................................ 314
2.3.1.
Introduction
.................................................................... 314
2.3.2.
Inelastic light scattering hi crystals
-
basic notions
.......................................... 314
23.3.
First-order scattering by phonons
...................................................... 315
23.4.
Morphic effects in Raman scattering
.................................................... 322
23.5.
Spatial-dispersion effects
............................................................ 325
23.6.
Higher-order scattering
............................................................ 326
23.7.
Conclusions
.................................................................... 327
23.8.
Glossary
...................................................................... 328
2.4.
Brillouin scattering (R.
Vacher
and E. Courtens)
.............................................. 329
2.4.1.
Introduction
.................................................................... 329
2.4.2.
Elastic waves
.................................................................. 329
2.4.3.
Coupling of light with elastic waves
.................................................... 330
2.4.4.
Brillouin scattering in crystals
........................................................ 330
2.4.5.
Use of the tables
................................................................ 331
2.4.6.
Techniques of Brillouin spectroscopy
.................................................... 331
PART
3.
SYMMETRY ASPECTS OF STRUCTURAL PHASE TRANSITIONS, TWINNING AND DOMAIN
STRUCTURES
3.1.
Structural phase transitions (J.-C.
Toledano,
V. Janovec, V. Kopský, J.
F. Scott and P.
Boček)
.................... 338
3.1.1.
Introduction (J.-C.
Toledano)
........................................................ 338
3.1.2.
Thermodynamics of structural transitions (J.-C.
Toledano)
...................................... 340
3.13.
Equitranslational phase transitions. Property tensors at ferroic phase transitions (V. Janovec and
V. Kopský)
.................................................................... 350
3.1.4.
Example of a table for non-equitranslational phase transitions (J.-C.
Toledano)
........................ 361
3.1.5.
Microscopic aspects of structural phase transitions and soft modes (J.
F. Scott) ........................ 361
3.1.6.
Group informatics and tensor calculus
(V. Kopský
and P.
Boček)
.................................. 372
3.1.7.
Glossary
...................................................................... 374
3.2.
Twinning and domain structures (V. Janovec, Th.
Hahn
and H.
Klapper) ................................ 377
3.2.1.
Introduction and history
............................................................ 377
3.2.2.
A brief survey of bicrystallography
.................................................... 378
3.23.
Mathematical tools
.............................................................. 379
33.
Twinning of crystals
(Тн.
Hahn
and
H.
Klapper) ................................................ 393
33.1.
Crystal aggregates and intergrowths
.................................................... 393
33.2.
Basic concepts and definitions of twinning
................................................ 394
333.
Morphological classification, simple and multiple twinning
...................................... 398
33.4.
Composite symmetry and the twin law
.................................................. 399
ix
CONTENTS
3
.3.5.
Description
of the twin law by black-white symmetry
........................................ 402
33.6.
Examples of twinned crystals
........................................................ 403
33.7.
Genetic classification of twins
........................................................ 412
33.8.
Lattice aspects of twinning
.......................................................... 416
33.9.
Twinning by merohedry and pseudo-merohedry
............................................ 422
33.10.
Twin boundaries
................................................................ 426
33.11.
Glossary
.................................................................... 444
3.4.
Domain structures (V. Janovec and J.
Přívratská)
................................................ 449
3.4.1.
Introduction
.................................................................... 449
3.4.2.
Domain states
.................................................................. 451
3.43.
Domain pairs: domain twin laws, distinction of
domam
states and switching
.......................... 470
3.4.4.
Domain twins and domain walls
...................................................... 491
3.4.5.
Glossary
...................................................................... 502
List of terms and symbols used in this volume
.................................................... 507
Author index
.......................................................................... 509
Subject index
.......................................................................... 514
|
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id | DE-604.BV017787779 |
illustrated | Illustrated |
indexdate | 2024-07-09T19:21:50Z |
institution | BVB |
institution_GND | (DE-588)4721-1 |
isbn | 1402007140 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010681430 |
oclc_num | 314278391 |
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physical | XI, 522 S. Ill., graph. Darst. 1 CD-ROM (12 cm) |
publishDate | 2003 |
publishDateSearch | 2003 |
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publisher | Kluwer |
record_format | marc |
spelling | Authier, André Verfasser aut International tables for crystallography D Physical properties of crystals ed. by Theo Hahn 1. ed. Dordrecht [u.a.] Kluwer 2003 XI, 522 S. Ill., graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Hahn, Theo 1928-2016 Sonstige (DE-588)143795198 oth Shmueli, Uri Sonstige oth Wilson, Arthur J. C. 1914- Sonstige (DE-588)118186191 oth Internationale Union für Kristallographie Sonstige (DE-588)4721-1 oth (DE-604)BV001208471 D Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010681430&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Authier, André International tables for crystallography |
title | International tables for crystallography |
title_auth | International tables for crystallography |
title_exact_search | International tables for crystallography |
title_full | International tables for crystallography D Physical properties of crystals ed. by Theo Hahn |
title_fullStr | International tables for crystallography D Physical properties of crystals ed. by Theo Hahn |
title_full_unstemmed | International tables for crystallography D Physical properties of crystals ed. by Theo Hahn |
title_short | International tables for crystallography |
title_sort | international tables for crystallography physical properties of crystals |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010681430&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV001208471 |
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