Introduction to ferroic materials:
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2000
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| Beschreibung: | XXIV, 740 S. Diagramme |
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| 245 | 1 | 0 | |a Introduction to ferroic materials |c Vinod K. Wadhawan |
| 264 | 1 | |a Amsterdam |b Gordon & Breach [u.a.] |c 2000 | |
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| adam_text | Titel: Introduction to ferroic materials
Autor: Wadhawan, Vinod K
Jahr: 2000
Contents
Foreword v
Preface vii
Part A: GENERAL CONSIDERATIONS
1 INTRODUCTION 3
1.1 OVERVIEW....................................................3
1.2 HISTORICAL ..............................14
1.2.1 Ferromagnetic Materials................................14
1.2.2 Critical-Point Phenomena..............................18
1.2.3 Ferroelectric Materials ..............................21
1.2.4 Ferroelastic Materials..................................24
1.2.5 Secondary and Higher-Order Ferroics..................26
1.2.6 Ferrogyrotropic Materials..............................26
2 CRYSTALLOGRAPHY 29
2.1 GROWTH OF A CRYSTAL ..................................29
2.1.1 Nucleation ..............................................30
2.1.2 The Cluster-to-Crystal Transition ......... . 33
2.1.3 Growth Mechanisms....................................34
2.1.4 Crystal Morphology....................................37
2.2 SYMMETRY OF A CRYSTAL................................39
2.2.1 The Symmetry Group of a Crystal....................39
2.2.2 Translational and Rotational Symmetry..............40
2.2.3 Crystal Structure........................................40
2.2.4 Point Space..............................................40
2.2.5 Symmetry Elements in a Crystal......................41
2.2.6 Orbits; Stabilizers ......................................41
2.2.7 Attributes of Space.................. . 42
2.2.8 Rational and Irrational Directions....................43
2.2.9 The Crystallographic Restriction on Axes of Symmetry 43
2.2.10 Crystal Systems and Crystal Families................44
vii
Wadhawan: Introduction to Ferroic Materials
2.2.11 Primitive and Nonprimitive Bravais Lattices .... 46
2.2.12 Screw Axes and Glide Planes..........................47
2.2.13 Wigner-Seitz Cell........................................47
2.2.14 The Various Types of Unit Cells......................48
2.2.15 Crystallographic Point Groups.............48
2.2.16 Simple Forms............................................52
2.2.17 Crystallographic Space Groups........................53
2.2.18 Magnetic Symmetry of Crystals........................58
2.2.19 Limit Groups............................................62
2.2.20 Layer Groups and Rod Groups........................65
2.2.21 Colour Symmetry ......................................66
2.3 CRYSTAL SYMMETRY AND THE CURIE SHUBNIKOV
PRINCIPLE ....................................................68
2.3.1 The Asymmetric Unit..................................69
2.3.2 Interplay between Dissymmetrization and Symmetriza-
tion........................... 69
2.4 INCOMMENSURATELY MODULATED CRYSTALS ... 71
CRYSTAL PHYSICS 73
3.1 TENSOR PROPERTIES ................... 74
3.1.1 Symmetrized and Alternated Tensors..................76
3.1.2 Polar Tensors and Axial Tensors......................76
3.1.3 Matter Tensors and Field tensors......................76
3.1.4 Intrinsic Symmetry of Tensors; the Jahn Symbol . . 76
3.1.5 Extrinsic Symmetry of Tensors ...................77
3.1.6 Tensor Invariants........................81
3.1.7 Equilibrium Properties and Transport Properties . . 82
3.1.8 i-Tensors and c-Tensors................................82
3.1.9 Special Magnetic Properties............................83
3.2 RESTRICTIONS IMPOSED BY CRYSTAL SYMMETRY
ON TENSOR PROPERTIES..................................84
3.2.1 Neumann Theorem......................................84
3.2.2 Crystallographic System of Coordinates..............85
3.2.3 Some Consequences of the Neumann Theorem ... 86
3.3 THE HERMANN THEOREM OF CRYSTAL PHYSICS . . 89
3.3.1 Cyclic Coordinates................................89
3.3.2 Proof of the Hermann Theorem................91
3.3.3 Importance of the Hermann Theorem................91
3.4 REPRESENTATIONS OF CRYSTALLOGRAPHIC POINT
GROUPS........................................................94
3.5 EFFECT OF FIELDS ON TENSOR PROPERTIES .... 99
CRYSTALS AND THE WAVEVECTOR SPACE 103
Contents ix
4.1 DIFFRACTION BY A CRYSTAL. THE RECIPROCAL LAT-
TICE ............................................................103
4.1.1 Diffraction by a General Distribution of Scatterers . 103
4.1.2 Diffraction by a Crystal................................105
4.1.3 The Reciprocal Lattice..................................107
4.1.4 The Brillouin Zone......................................Ill
4.1.5 Diffraction by an Incommensurately Modulated Crystalll2
4.2 REPRESENTATIONS OF CRYSTALLOGRAPHIC TRANS-
LATION GROUPS..............................................113
4.3 THE GROUP OF THE WAVEVECTOR, AND ITS REP-
RESENTATIONS ..............................................115
4.4 REPRESENTATIONS OF SPACE GROUPS................119
5 PHASE TRANSITIONS IN CRYSTALS 123
5.1 PROTOTYPE SYMMETRY..................................123
5.1.1 Guymont s Nondisruption Condition..................123
, 5.1.2 Parent-Clamping Approximation......................124
5.1.3 Definition of Prototype Symmetry....................124
5.2 A CRYSTALLOGRAPHIC CLASSIFICATION OF PHASE
TRANSITIONS..................................................128
5.2.1 Disruptive Phase Transitions..........................128
5.2.2 Nondisruptive Phase Transitions......................130
5.3 EXTENDED LANDAU THEORY OF CONTINUOUS PH-
ASE TRANSITIONS............................................131
5.3.1 Subgroup Criterion......................................132
5.3.2 Order Parameter........................................132
5.3.3 Isotropy Subgroups......................................133
5.3.4 Physically Irreducible Representations................134
5.3.5 Single-IR Criterion; Active IR..........................134
5.3.6 Subduction Criterion; Subduction Frequency .... 135
5.3.7 Chain Subduction Criterion............................135
5.3.8 Landau Stability Condition............................136
5.3.9 Lifshitz Homogeneity Condition........................136
5.3.10 Maximality Conjecture..................................137
5.3.11 Tensor Field Criterion..................................137
5.3.12 The Landau Expansion ................................138
5.3.13 Stability Limit of a Phase..............................139
5.3.14 Tricritical Points........................................142
5.4 LATTICE DYNAMICS, SOFT MODES......................144
5.4.1 Ferrodistortive Transitions..............................145
5.4.2 Antiferrodistortive Transitions ........................145
5.4.3 Displacive vs. Order-Disorder Type Phase Transitions 147
5.4.4 Overdamped and Underdamped Soft Modes..........151
Wadhawan: Introduction to Ferroic Materials
5.4.5 Hard Modes and Saturation Temperature for the Or-
der Parameter ..........................................151
5.5 CRITICAL-POINT PHENOMENA ..........................154
5.5.1 Critical Fluctuations....................................155
5.5.2 Landau-Ginzburg Theory..............................155
5.5.3 Ginzburg Criterion......................................160
5.5.4 Critical Exponents......................................160
5.5.5 Upper and Lower Marginal Dimensionality..........163
5.5.6 Models of Phase Transitions............................164
- 5.5.7 Universality Classes and Scaling......................166
, . 5.5.8 Kadanoff Construction..................................168
- 5.5.9 Renormalization-Group Theory........................170
5.6 SPONTANEOUS BREAKING OF SYMMETRY............172
5.6.1 Continuous Broken Symmetries; Goldstone Modes . 173
5.6.2 Discrete Broken Symmetries............................176
5.7 DISCONTINUOUS PHASE TRANSITIONS................178
5.7.1 Nondisruptive Discontinuous Transitions..............178
5.7.2 Disruptive Discontinuous Transitions..................180
5.8 TRANSITIONS TO AN INCOMMENSURATE PHASE . . 182
5.9 INFLUENCE OF IMPURITIES ON STRUCTURAL PH-
ASE TRANSITIONS............................................185
CLASSIFICATION OF FERROIC MATERIALS. FERRO-
GYROTROPY 189
6.1 FERROIC SPECIES............................................189
6.1.1 Aizu Symbol for Ferroic Species........................190
6.1.2 Orientation States......................................191
6.1.3 F-Operations............................................191
6.2 MACROSCOPIC CLASSIFICATION OF FERROIC MA-
TERIALS ........................................................192
6.2.1 Thermodynamic Considerations........................192
6.2.2 Tensor Classification of Ferroics........................194
6.3 FERROGYROTROPY ........................................202
6.3.1 The Optical Gyration Tensor..........................203
6.3.2 The Hermann Theorem and Optical Gyration .... 205
6.3.3 Optical Ferrogyrotropy as an Implicit Form of Fer-
roicity....................................................206
6.3.4 Optical Ferrogyrotropy vs. Ferroelasticity............208
6.3.5 Partial Ferrogyrotropics................................210
6.3.6 The Acoustical Gyration Tensor ......................211
6.3.7 Ferroacoustogyrotropy..................................213
6.3.8 Acoustical Ferrogyrotropy as an Implicit Form of Fer-
roicity....................................................215
Contents xi
7 DOMAINS 219
7.1 SOME SYMMETRY ASPECTS OF DOMAIN STRUCTURE220
7.1.1 Derivative Structures and Domain States............220
7.1.2 Domain Pairs............................................220
7.1.3 Single-Domain States ..................................221
7.1.4 Disorientations..........................................221
7.1.5 Antiphase Domains......................................221
7.1.6 Orientational Twins....................................222
7.1.7 Rotational Domains....................................222
7.1.8 Domain Structure and the Curie Principle............222
7.1.9 Symmetry of Single-Domain States....................223
7.1.10 Enumeration of Single-Domain States................226
7.1.11 Symmetry-Labeling of Domain States and Domain
Walls ....................................................230
7.2 TWINNING......................................................232
7.2.1 Definition of Twinning..................................233
7.2.2 Transformation Twins..................................234
7.2.3 Growth Twins..........................................235
7.2.4 Mechanical Twins......................................235
7.2.5 Friedel s Four Twin Types........;......237
7.2.6 Manifestation of Twin Type in the Diffraction Pattern239
7.2.7 Hypertwins..............................................239
7.2.8 Hermann s Space-Group Decomposition Theorem . . 241
7.3 BICRYSTALLOGRAPHY......................................243
7.3.1 General Methodology ..................................245
7.3.2 Dichromatic Pattern....................................249
7.3.3 Coincidence Lattice ....................................250
7.3.4 Dichromatic Complex..................................251
7.3.5 Unrelaxed or Ideal Bicrystal............................251
7.3.6 Relaxed Bicrystal........................................252
7.3.7 The Six Bicrystal Systems..............................252
7.3.8 Bicrystallographic Variants............................252
7.4 A TENSOR CLASSIFICATION OF TWINNING ...... 255
7.4.1 S-TWINS.......................................261
7.4.2 N-Twins..................................................263
7.4.3 B-Twins..................................................263
7.4.4 T-Twins..................................................264
7.4.5 A Symbol for Twinning................................265
7.5 THE GROUP-TREE FORMALISM..........................266
8 DOMAIN WALLS 273
8.1 ORIENTATIONAL DEPENDENCE OF PROPERTIES OF
INTERFACES ..................................................273
xii Wadhawan: Introduction to Ferroic Materials
8.1.1 Morphology of Crystals Grown from Crystalline Ma-
trices ....................................................273
8.1.2 Homophase Interfaces . ...............................276
8.1.3 Symmetry-Dictated Extrema..........................278
8.2 STRUCTURAL EXTENDED DEFECTS....................279
8.2.1 Aristotype and Hettotype Structures..................280
8.2.2 Antiphase Boundaries..................................280
8.2.3 Stacking Faults..........................................282
8.2.4 General Twin Walls....................................282
8.2.5 Grain Boundaries........................................283
8.3 COMPOSITIONAL EXTENDED DEFECTS................283
8.3.1 Crystallographic Shear Planes..........................283
8.3.2 Irrational Shear Planes ................................285
8.3.3 Chemical Twin Planes..................................286
8.4 ATOMIC DISPLACEMENTS UNDERLYING THE MOVE-
MENT OF DOMAIN WALLS .................................288
8.5 DOMAIN STRUCTURE OF INCOMMENSURATE PHASES294
Part B: CLASSES OF FERROICS, MICROSTRUCTURE,
NANOSTRUCTURE, APPLICATIONS
9 FERROMAGNETIC CRYSTALS 301
9.1 SOME MAGNETIC PROPERTIES OF ORDERED CRYS-
TALS ............................................................301
9.1.1 Magnetic Moment and Exchange Interaction .... 301
9.1.2 Magnetic Ions in Solids................................307
9.1.3 Coupling Between Magnetic Moments................308
9.1.4 Diamagnetism and Paramagnetism....................310
9.1.5 Ferromagnetism, Antiferromagnetism, and Ferrimag-
netism....................................................310
9.1.6 Molecular Ferromagnets................................312
9.1.7 Metamagnetism and Incipient Ferromagnetism . . . 312
9.1.8 Helimagnetism..........................................313
9.2 SPIN GLASSES AND CLUSTER GLASSES................314
9.2.1 Giant-Moment Ferromagnetism........................316
9.2.2 Characteristics of Spin Glasses........................316
9.2.3 The Glassy Phase and the Glass Transition..........318
9.2.4 Two-Level Model for Tunneling or Thermal Hopping
in Glasses............................319
9.2.5 Broken Ergodicity......................................321
9.2.6 Frustration..............................................321
9.2.7 Edwards Anderson Model and Sherrington Kirkpat-
rick Model ..............................................323
Contents xiii
9.2.8 Breaking of Replica Permutation Symmetry..........326
9.2.9 Thouless-Anderson-Palmer Theory....................328
9.2.10 Cluster Glasses, Mictomagnets, Superparamagnets . 329
9.2.11 Percolation-Related Magnetic Order..................332
9.2.12 Speromagnets and Sperimagnets......................333
9.2.13 Nonexponential Relaxation in Materials.......333
9.3 FERROMAGNETIC PHASE TRANSITIONS ..............337
9.3.1 Prototype Symmetry for a Ferromagnetic Transition 337
9.3.2 Ferromagnetic Species of Crystals ....................338
9.3.3 Proper Ferromagnetic Transitions and Critical Phe-
nomena ..................................................340
9.3.4 Colour Symmetry and the Landau Potential..........341
9.3.5 Incommensurate Ferromagnetic Transitions..........341
9.4 DOMAIN STRUCTURE OF FERROMAGNETIC CRYS-
TALS ............................................................342
9.4.1 The Various Contributions to the Internal Energy . 343
9.4.2 Orientations of Walls between Ferromagnetic Domain
Pairs......................................................345
9.4.3 Thickness of Walls Separating Ferromagnetic Domain
Pairs......................................................346
9.4.4 The Ferromagnetic Hysteresis Loop ..................346
9.5 DYNAMICS OF FERROMAGNETIC BEHAVIOUR ... 348
10 FERROELECTRIC CRYSTALS 351
10.1 SOME DIELECTRIC PROPERTIES OF ORDERED CRYS-
TALS ............................................................351
10.1.1 Polarization..............................................351
10.1.2 Pyroelectric Effect......................................352
10.1.3 Effect of Static Electric Field..........................353
10.1.4 Thermodynamics and Symmetry of Dielectric Pro-
perties ....................................................357
10.1.5 A Crystallophysical Perspective for Ferroelectrics . . 357
10.1.6 Dielectric Response and Relaxation....................358
10.1.7 Absolute and Relative Spontaneous Polarization . . 366
10.2 STRUCTURAL CLASSIFICATION OF FERROELECTRICS367
10.2.1 Hydrogen-Bonded Ferroelectrics ......................368
10.2.2 Non-Hydrogen-Bonded Ferroelectrics..................369
10.3 FERROELECTRIC PHASE TRANSITIONS................371
10.3.1 Proper Ferroelectric Phase Transitions................374
10.3.2 Improper or Faint Ferroelectric Phase Transitions . . 375
10.3.3 Pseudoproper Ferroelectric Phase Transitions .... 381
10.3.4 Ferroelectric Diffuse Transitions ..............382
10.4 DIPOLAR GLASSES. RELAXOR FERROELECTRICS . . 386
xiv
Wadhawan: Introduction to Ferroic Materials
i 10.4.1 Classes of Glassy, Compositionally Modified, Ferroe-
; lectrics with Perovskite Type Structure..............389
•: 10.4.2 Salient Features of Ferroelectric Crystals with a Dipolar-
Glass Transition........................................390
10.4.3 Spin Glasses vs. Dipolar Glasses......................393
10.4.4 Dipolar-Glass Transitions vs. Ferroelectric Phase Tra-
nsitions ..................................................394
10.4.5 Relaxor Ferroelectrics..................................395
10.4.6 Field-Induced Phase Transitions in Relaxor Ferroele-
ctrics ....................................................400
10.5 QUANTUM FERROELECTRICS............................403
10.5.1 Displacive Limit of a Structural Phase Transition . . 403
10.5.2 Modern Approach to Quantum Ferroelectrics .... 405
10.5.3 Strontium Calcium Titanate ..........................405
10.5.4 Potassium Tantalate Niobate..........................407
10.5.5 Potassium Dihydrogen Phosphate ....................408
10.6 DOMAIN STRUCTURE OF FERROELECTRIC CRYSTALS409
10.6.1 Domains in a Ferroelectric Crystal....................409
10.6.2 Orientation of Walls Between Ferroelectric Domain
Pairs......................................................411
10.6.3 Thickness of Walls Between Ferroelectric Domain Pairs413
10.7 FERROELECTRIC DOMAIN SWITCHING................417
10.7.1 Kinetics of Domain Switching in Ferroelectrics . . . 417
10.7.2 The Ferroelectric Hysteresis Loop ....................419
11 FERROELASTIC CRYSTALS 421
11.1 SOME ELASTIC PROPERTIES OF ORDERED CRYSTALS422
11.1.1 Strain, Stress, Compliance............... 422
11.1.2 Absolute Spontaneous Strain............. 426
11.1.3 Relative Spontaneous Strain.............. 427
11.1.4 Anelasticity....................... 430
11.2 STRUCTURAL CLASSIFICATION OF FERROELASTICS 433
11.3 FERROELASTIC PHASE TRANSITIONS......... 435
11.3.1 True-Proper and Pseudoproper Ferroelastic Phase Tra-
nsitions ......................... 436
11.3.2 Improper Ferroelastic Phase Transitions.......439
11.4 QUADRUPOLAR GLASSES................. 442
11.5 MARTENSITIC PHASE TRANSITIONS.......... 445
11.5.1 General Features.................... 445
11.5.2 Pseudoelasticity and Pseudoplasticity........ 448
11.5.3 Crystallographic Reversibility of a Phase Transition 449
11.5.4 Shape-Memory Effect ................. 451
11.5.5 Falk s Universal Model for Shape-Memory Alloys . . 456
Contents
xv
11.6 DOMAIN STRUCTURE OF FERROELASTIC CRYSTALS 458
11.6.1 Domains in Ferroelastic Crystals......................458
11.6.2 Suborientation States ..................................459
11.6.3 Double Ferroelasticity..................................459
11.6.4 Orientation of Walls Between Ferroelastic Domain Pairs461
11.6.5 Phase Boundaries and Polydomain Phases in Ferroe-
lastics....................................................463
11.6.6 Some Further Aspects of the Effect of Long Ranged
Elastic Interaction on Domain Structure.......469
11.6.7 Ferrielastics and Their Domain Structure......478
11.7 FERROELASTIC DOMAIN SWITCHING..................480
11.7.1 The Optimum Switching Configuration..............480
11.7.2 Plasticity Related to Ferroelastic Domain Switching 481
11.7.3 Mobility and Thickness of Domain Boundaries in Fer-
roelastics................................................482
11.7.4 The Ferroelastic Hysteresis Loop......................484
12 SECONDARY AND HIGHER-ORDER FERROICS 487
12.1 SECONDARY AND HIGHER ORDER FERROIC PHASE
TRANSITIONS..................................................487
12.2 FERROBIELECTRICS AND FERROBIMAGNETICS . . 488
12.3 FERROBIELASTICS..........................................490
12.4 FERROELASTOELECTRICS................................493
12.5 FERROMAGNETOELASTICS................................497
12.6 FERROMAGNETOELECTRICS..............................499
12.7 TERTIARY FERROICS........................500
13 POLYCRYSTAL FERROICS AND COMPOSITE FERRO-
ICS 503
13.1 SIZE EFFECTS IN FERROIC MATERIALS................503
13.1.1 General Considerations ................................503
13.1.2 Size Effects in Ferromagnetic Powders................504
13.1.3 Size Effects in Ferroelectric Powders..................506
13.1.4 Size Effects in Ferroelastic Powders....................507
13.2 POLYCRYSTAL FERROICS................. 509
13.2.1 Polycrystal Ferromagnetics............................510
13.2.2 Polycrystal Ferroelectrics..............................512
13.2.3 Polycrystal Ferroelastics................................514
13.3 COMPOSITES WITH AT LEAST ONE FERROIC CON-
STITUENT ........................... 516
13.3.1 General Considerations ................ 516
13.3.2 Sum, Combination, and Product Properties of Com-
posites .......................... 517
xvi
Wadhawan: Introduction to Ferroic Materials
£ 13.3.3 Symmetry of Composites..............................519
13.3.4 Connectivity of Composites..............524
5 13.3.5 Transitions in Composites..............................525
13.3.6 Ferroic Nanocomposites................................527
14 APPLICATIONS OF FERROIC MATERIALS 531
14.1 SALIENT FEATURES OF FERROIC MATERIALS .... 531
t 14.1.1 Existence of the Ferroic Orientation State............533
- 14.1.2 Mobility of Domain Boundaries and Phase Boundaries 534
* 14.1.3 Enhancement of Certain Macroscopic Properties Near
yif- a Ferroic Phase Transition..............................534
14.1.4 A Comparative Analysis of the Properties of Ferroic
Materials................................................535
14.2 APPLICATIONS................................................538
14.2.1 Applications Related to the Existence of the Ferroic
Orientation State........................................539
14.2.2 Applications Exploiting the Mobility of Domain Boun-
daries and Phase Boundaries..........................542
14.2.3 Applications Using Enhanced Macroscopic Proper-
* ties near the Ferroic Phase Transition................546
14.2.4 Applications Involving Field-Induced Phase Transitions548
14.2.5 Applications Involving Transport Properties..........551
14.3 FERROIC MATERIALS IN SMART STRUCTURES ... 553
14.3.1 Smart Systems, Structures, and Materials............554
14.3.2 Passively Smart Structures............................556
14.3.3 Actively Smart Structures..............................556
14.3.4 Tuning of Properties of Ferroics by External Fields . 558
14.3.5 Applications of Ferroic Materials in Smart Structures 560
15 EPILOGUE 569
APPENDICES
A SET THEORY 573
B GROUP THEORY 577
B.l ABSTRACT GROUP THEORY............... 577
B.2 LINEAR SPACES AND OPERATORS......................586
B.3 REPRESENTATIONS OF FINITE GROUPS................591
B.4 SOME CONTINUOUS GROUPS..............................598
C THE CURIE SHUBNIKOV PRINCIPLE 603
C.l THE CURIE PRINCIPLE. DISSYMMETRIZATION ... 604
Contents xvii
C.2 THE CURIE SHUBNIKOV PRINCIPLE. SYMMETRIZA-
TION............................................................607
C.3 LATENT SYMMETRY........................................610
D THE FOURIER TRANSFORM 613
E THERMODYNAMICS AND STATISTICAL MECHAN-
ICS 619
E.l THERMODYNAMICS..........................................619
E.l.l Thermodynamic Potentials............................620
E.1.2 Homogeneous Functions................................623
E.2 EQUILIBRIUM STATISTICAL MECHANICS..............624
E.2.1 Microcanonical Ensemble .............................624
E.2.2 Canonical Ensemble....................................627
E.2.3 Partition Function......................................628
E.2.4 Quantum Statistical Mechanics........................629
E.2.5 Fluctuations ............................................631
E.2.6 Correlation Functions..................................632
E.3 NONEQUILIBRIUM STATISTICAL MECHANICS .... 634
E.3.1 Linear Response Theory................................634
E.3.2 Time Correlation Functions............................634
E.3.3 Fluctuation Dissipation Theorem......................636
E.3.4 Response Function......................................637
E.3.5 Relaxation ..............................................638
E.3.6 Generalized Susceptibility..............................639
References Cited 643
Author Index 695
Subject Index 711
|
| any_adam_object | 1 |
| author | Wadhawan, Vinod K. |
| author_GND | (DE-588)1081952520 |
| author_facet | Wadhawan, Vinod K. |
| author_role | aut |
| author_sort | Wadhawan, Vinod K. |
| author_variant | v k w vk vkw |
| building | Verbundindex |
| bvnumber | BV013495952 |
| classification_rvk | UP 6300 |
| ctrlnum | (OCoLC)248646783 (DE-599)BVBBV013495952 |
| dewey-full | 620.11299 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.11299 |
| dewey-search | 620.11299 |
| dewey-sort | 3620.11299 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV013495952 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:50Z |
| institution | BVB |
| isbn | 9056992864 9780367397807 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009211869 |
| oclc_num | 248646783 |
| open_access_boolean | |
| owner | DE-29T DE-703 DE-384 |
| owner_facet | DE-29T DE-703 DE-384 |
| physical | XXIV, 740 S. Diagramme |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Gordon & Breach [u.a.] |
| record_format | marc |
| spelling | Wadhawan, Vinod K. Verfasser (DE-588)1081952520 aut Introduction to ferroic materials Vinod K. Wadhawan Amsterdam Gordon & Breach [u.a.] 2000 XXIV, 740 S. Diagramme txt rdacontent n rdamedia nc rdacarrier Ferromagnetikum (DE-588)4154129-7 gnd rswk-swf Ferroelastizität (DE-588)4326974-6 gnd rswk-swf Ferroelektrikum (DE-588)4154121-2 gnd rswk-swf Ferroelastizität (DE-588)4326974-6 s DE-604 Ferroelektrikum (DE-588)4154121-2 s Ferromagnetikum (DE-588)4154129-7 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009211869&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wadhawan, Vinod K. Introduction to ferroic materials Ferromagnetikum (DE-588)4154129-7 gnd Ferroelastizität (DE-588)4326974-6 gnd Ferroelektrikum (DE-588)4154121-2 gnd |
| subject_GND | (DE-588)4154129-7 (DE-588)4326974-6 (DE-588)4154121-2 |
| title | Introduction to ferroic materials |
| title_auth | Introduction to ferroic materials |
| title_exact_search | Introduction to ferroic materials |
| title_full | Introduction to ferroic materials Vinod K. Wadhawan |
| title_fullStr | Introduction to ferroic materials Vinod K. Wadhawan |
| title_full_unstemmed | Introduction to ferroic materials Vinod K. Wadhawan |
| title_short | Introduction to ferroic materials |
| title_sort | introduction to ferroic materials |
| topic | Ferromagnetikum (DE-588)4154129-7 gnd Ferroelastizität (DE-588)4326974-6 gnd Ferroelektrikum (DE-588)4154121-2 gnd |
| topic_facet | Ferromagnetikum Ferroelastizität Ferroelektrikum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009211869&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT wadhawanvinodk introductiontoferroicmaterials |