Physical properties of crystals: an introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
WILEY-VCH
2007
|
| Schriftenreihe: | Physics textbook
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 439 Seiten Illustrationen, Diagramme |
| ISBN: | 9783527405435 |
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Datensatz im Suchindex
| _version_ | 1804135064747900928 |
|---|---|
| adam_text | Contents
1
Fundamentals
1
1.1 Ideal
Crystals, Real Crystals
1
1.2
The First Basic Law of Crystallography (Angular Constancy)
3
1.3
Graphical Methods,
Stereographic
Projection
4
1.4
The Second Basic Law of Crystallography (Law of Rational
Indices)
8
1.5
Vectors
10
1.5.1
Vector Addition
10
1.5.2
Scalar Product
13
1.5.3
Vector Product
14
1.5.4
Vector Triple Product
17
1.6
Transformations
18
1.7
Symmetry Properties
19
1.7.1
Symmetry Operations
19
1.7.2
Point Symmetry Groups
24
1.7.3
Theory of Forms
32
1.7
A Morphological Symmetry, Determining the Point Symmetry
Group
42
1.7.5
Symmetry of Space Lattices (Space Groups)
42
1.7.5.1
Bravais
Types
42
1.7.5.2
Screw Axes and Glide Mirror Planes
45
1.7.5.3
The
230
Space Groups
46
1.8
Supplements to Crystal Geometry
47
1.9
The Determination of Orientation with Diffraction Methods
48
2
Sample Preparation
51
2.1
Crystal Preparation
51
2.2
Orientation
54
vil
3
Definitions
57
3.1
Properties
57
3.2
Reference Surfaces and Reference Curves
59
3.3
Neumann s Principle
60
3.4
Theorem on Extreme Values
61
3.5
Tensors
62
3.6
Theorem on Tensor Operations
65
3.7
Pseudo
Tensors (Axial Tensors)
70
3.8
Symmetry Properties of Tensors
72
3.8.1
Mathematical and Physical Arguments: Inherent Symmetry
72
3.8.2
Symmetry of the Medium
74
3.9
Derived Tensors and Tensor Invariants
78
3.10
Longitudinal and Transverse Effects
80
4
Special Tensors
83
4.1
Zero-Rank Tensors
83
4.2
First-Rank Tensors
85
4.2.1
Symmetry Reduction
85
4.2.2
Pyroelectric and Related Effects
86
4.3
Second-Rank Tensors
89
4.3.1
Symmetry Reduction
89
4.3.2
Tensor Quadric, Poinsots Construction, Longitudinal Effects,
Principal Axes Transformation
93
4.3.3
Dielectric Properties
99
4.3.4
Ferroelectricity
106
4.3.5
Magnetic Permeability
108
4.3.6
Optical Properties: Basic Laws of Crystal Optics
122
4.3.6.1
Reflection and Refraction
118
4.3.6.2
Determining Refractive Indices
127
4.3.6.3
Plane-Parallel Plate between Polarizers at Perpendicular Incidence
130
4.3.6.4
Directions of Optic Isotropy: Optic Axes, Optic Character
133
4.3.6.5
Sénarmont
Compensator for the Analysis of Elliptically Polarized
Light
136
4.3.6.6
Absorption
139
4.3.6.7
Optical Activity
141
4.3.6.8
Double refracting, optically active, and absorbing crystals
148
4.3.6.9
Dispersion
248
4.3.7
Electrical Conductivity
250
4.3.8
Thermal Conductivity
252
4.3.9
Mass Conductivity
253
4.3.10
Deformation Tensor
254
4.3.11
Thermal Expansion
159
4.3.12
Linear
Compressibility at Hydrostatic Pressure
164
4.3.13
Mechanical Stress Tensor
164
4.4
Third-Rank Tensors
168
4.4.1
Piezoelectric Tensor
173
4.4.1.1
Static and Quasistatic Methods of Measurement
174
4.4.1.2
Extreme Values
180
4.4.1.3
Converse Piezoelectric Effect (First-Order
Electrostriction)
182
4.4.2
First-Order Electro-Optical Tensor
184
4.4.3
First-Order Nonlinear Electrical Conductivity (Deviation from
Ohm s Law)
194
4.4.4
Nonlinear Dielectric Susceptibilty
195
4.4.5
Faraday Effect
204
4.4.6
Hall Effect
205
4.5
Fourth-Rank Tensors
207
4.5.1
Elasticity Tensor
214
4.5.2
Elastostatics
217
4.5.3
Linear Compressibility Under Hydrostatic Pressure
220
4.5.4
Torsion Modulus
222
4.5.5
Elastodynamic
222
4.5.6
Dynamic Measurement Methods
231
4.5.7
Strategy for the Measurement of Elastic Constants
266
4.5.7.1
General Elastic Properties; Stability
267
4.5.8
The Dependence of Elastic Properties on Scalar Parameters
(Temperature, Pressure)
270
4.5.9
Piezooptical and Elastooptical Tensors
272
4.5.9.1
Piezooptical Measurements
272
4.5.9.2
Elastooptical Measurements
273
4.5.10
Second-Order
Electrostrictive
and Electrooptical Effects
285
4.5.11
Electrogyration
286
4.5.12
Piezoconductivity
288
4.6
Higher Rank Tensors
288
4.6.1
Electroacoustical Effects
288
4.6.2
Acoustical Activity
289
4.6.3
Nonlinear Elasticity: Piezoacoustical Effects
290
5
Thermodynamic Relationships
297
5.1
Equations of State
297
5.2
Tensor Components Under Different Auxiliary Conditions
301
5.3
Time Reversal
305
5.4
Thermoelectrical Effect
307
viii
6
Non-Tensorial
Properties
309
6.1
Strength Properties
309
6.1.1
Hardness (Resistance Against Plastic Deformation)
310
6.1.2
Indentation Hardness
325
6.1.3
Strength
317
6.1.4
Abrasive Hardness
318
6.2
Dissolution Speed
323
6.3
Sawing Velocity
324
6.4
Spectroscopie
Properties
326
7
Structure and Properties
329
7.1
Interpretation and Correlation of Properties
329
7.1.1 Quasiadditive
Properties
331
7.1.2 Nonadditive
Properties
338
7.1.2.1
Thermal Expansion
339
7.1.2.2
Elastic Properties, Empirical Rules
341
7.1.2.3
Thermoelastic and Piezoelastic Properties
344
7.2
Phase Transformations
347
8
Group Theoretical Methods
357
8.1
Basics of Group Theory
357
8.2
Construction of Irreducible Representations
364
8.3
Tensor Representations
370
8.4
Decomposition of the Linear Vector Space into Invariant
Subspaces
376
8.5
Symmetry Matched Functions
378
9
Group Algebra; Projection Operators
385
10
Concluding Remarks
393
11
Exercises
395
12
Appendix
407
12.1
List of Common Symbols
407
12.2
Systems of Units, Units, Symbols and Conversion Factors
409
12.3
Determination of the Point Space Group of a Crystal From Its
Physical Properties
410
12.4
Electric and Magnetic Effects
412
12.5
Tables of Standard Values
414
ix
12.6
Bibliography
421
12.6.1
Books
422
12.6.2
Articles
427
12.6.3
Data Sources
431
12.6.4
Journals
433
|
| adam_txt |
Contents
1
Fundamentals
1
1.1 Ideal
Crystals, Real Crystals
1
1.2
The First Basic Law of Crystallography (Angular Constancy)
3
1.3
Graphical Methods,
Stereographic
Projection
4
1.4
The Second Basic Law of Crystallography (Law of Rational
Indices)
8
1.5
Vectors
10
1.5.1
Vector Addition
10
1.5.2
Scalar Product
13
1.5.3
Vector Product
14
1.5.4
Vector Triple Product
17
1.6
Transformations
18
1.7
Symmetry Properties
19
1.7.1
Symmetry Operations
19
1.7.2
Point Symmetry Groups
24
1.7.3
Theory of Forms
32
1.7
A Morphological Symmetry, Determining the Point Symmetry
Group
42
1.7.5
Symmetry of Space Lattices (Space Groups)
42
1.7.5.1
Bravais
Types
42
1.7.5.2
Screw Axes and Glide Mirror Planes
45
1.7.5.3
The
230
Space Groups
46
1.8
Supplements to Crystal Geometry
47
1.9
The Determination of Orientation with Diffraction Methods
48
2
Sample Preparation
51
2.1
Crystal Preparation
51
2.2
Orientation
54
vil
3
Definitions
57
3.1
Properties
57
3.2
Reference Surfaces and Reference Curves
59
3.3
Neumann's Principle
60
3.4
Theorem on Extreme Values
61
3.5
Tensors
62
3.6
Theorem on Tensor Operations
65
3.7
Pseudo
Tensors (Axial Tensors)
70
3.8
Symmetry Properties of Tensors
72
3.8.1
Mathematical and Physical Arguments: Inherent Symmetry
72
3.8.2
Symmetry of the Medium
74
3.9
Derived Tensors and Tensor Invariants
78
3.10
Longitudinal and Transverse Effects
80
4
Special Tensors
83
4.1
Zero-Rank Tensors
83
4.2
First-Rank Tensors
85
4.2.1
Symmetry Reduction
85
4.2.2
Pyroelectric and Related Effects
86
4.3
Second-Rank Tensors
89
4.3.1
Symmetry Reduction
89
4.3.2
Tensor Quadric, Poinsots Construction, Longitudinal Effects,
Principal Axes' Transformation
93
4.3.3
Dielectric Properties
99
4.3.4
Ferroelectricity
106
4.3.5
Magnetic Permeability
108
4.3.6
Optical Properties: Basic Laws of Crystal Optics
122
4.3.6.1
Reflection and Refraction
118
4.3.6.2
Determining Refractive Indices
127
4.3.6.3
Plane-Parallel Plate between Polarizers at Perpendicular Incidence
130
4.3.6.4
Directions of Optic Isotropy: Optic Axes, Optic Character
133
4.3.6.5
Sénarmont
Compensator for the Analysis of Elliptically Polarized
Light
136
4.3.6.6
Absorption
139
4.3.6.7
Optical Activity
141
4.3.6.8
Double refracting, optically active, and absorbing crystals
148
4.3.6.9
Dispersion
248
4.3.7
Electrical Conductivity
250
4.3.8
Thermal Conductivity
252
4.3.9
Mass Conductivity
253
4.3.10
Deformation Tensor
254
4.3.11
Thermal Expansion
159
4.3.12
Linear
Compressibility at Hydrostatic Pressure
164
4.3.13
Mechanical Stress Tensor
164
4.4
Third-Rank Tensors
168
4.4.1
Piezoelectric Tensor
173
4.4.1.1
Static and Quasistatic Methods of Measurement
174
4.4.1.2
Extreme Values
180
4.4.1.3
Converse Piezoelectric Effect (First-Order
Electrostriction)
182
4.4.2
First-Order Electro-Optical Tensor
184
4.4.3
First-Order Nonlinear Electrical Conductivity (Deviation from
Ohm's Law)
194
4.4.4
Nonlinear Dielectric Susceptibilty
195
4.4.5
Faraday Effect
204
4.4.6
Hall Effect
205
4.5
Fourth-Rank Tensors
207
4.5.1
Elasticity Tensor
214
4.5.2
Elastostatics
217
4.5.3
Linear Compressibility Under Hydrostatic Pressure
220
4.5.4
Torsion Modulus
222
4.5.5
Elastodynamic
222
4.5.6
Dynamic Measurement Methods
231
4.5.7
Strategy for the Measurement of Elastic Constants
266
4.5.7.1
General Elastic Properties; Stability
267
4.5.8
The Dependence of Elastic Properties on Scalar Parameters
(Temperature, Pressure)
270
4.5.9
Piezooptical and Elastooptical Tensors
272
4.5.9.1
Piezooptical Measurements
272
4.5.9.2
Elastooptical Measurements
273
4.5.10
Second-Order
Electrostrictive
and Electrooptical Effects
285
4.5.11
Electrogyration
286
4.5.12
Piezoconductivity
288
4.6
Higher Rank Tensors
288
4.6.1
Electroacoustical Effects
288
4.6.2
Acoustical Activity
289
4.6.3
Nonlinear Elasticity: Piezoacoustical Effects
290
5
Thermodynamic Relationships
297
5.1
Equations of State
297
5.2
Tensor Components Under Different Auxiliary Conditions
301
5.3
Time Reversal
305
5.4
Thermoelectrical Effect
307
viii
6
Non-Tensorial
Properties
309
6.1
Strength Properties
309
6.1.1
Hardness (Resistance Against Plastic Deformation)
310
6.1.2
Indentation Hardness
325
6.1.3
Strength
317
6.1.4
Abrasive Hardness
318
6.2
Dissolution Speed
323
6.3
Sawing Velocity
324
6.4
Spectroscopie
Properties
326
7
Structure and Properties
329
7.1
Interpretation and Correlation of Properties
329
7.1.1 Quasiadditive
Properties
331
7.1.2 Nonadditive
Properties
338
7.1.2.1
Thermal Expansion
339
7.1.2.2
Elastic Properties, Empirical Rules
341
7.1.2.3
Thermoelastic and Piezoelastic Properties
344
7.2
Phase Transformations
347
8
Group Theoretical Methods
357
8.1
Basics of Group Theory
357
8.2
Construction of Irreducible Representations
364
8.3
Tensor Representations
370
8.4
Decomposition of the Linear Vector Space into Invariant
Subspaces
376
8.5
Symmetry Matched Functions
378
9
Group Algebra; Projection Operators
385
10
Concluding Remarks
393
11
Exercises
395
12
Appendix
407
12.1
List of Common Symbols
407
12.2
Systems of Units, Units, Symbols and Conversion Factors
409
12.3
Determination of the Point Space Group of a Crystal From Its
Physical Properties
410
12.4
Electric and Magnetic Effects
412
12.5
Tables of Standard Values
414
ix
12.6
Bibliography
421
12.6.1
Books
422
12.6.2
Articles
427
12.6.3
Data Sources
431
12.6.4
Journals
433 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Haussühl, Siegfried 1927- |
| author_GND | (DE-588)116549378 |
| author_facet | Haussühl, Siegfried 1927- |
| author_role | aut |
| author_sort | Haussühl, Siegfried 1927- |
| author_variant | s h sh |
| building | Verbundindex |
| bvnumber | BV021279609 |
| callnumber-first | Q - Science |
| callnumber-label | QD931 |
| callnumber-raw | QD931 |
| callnumber-search | QD931 |
| callnumber-sort | QD 3931 |
| callnumber-subject | QD - Chemistry |
| classification_rvk | UQ 4000 VE 9350 |
| classification_tum | PHY 620f |
| ctrlnum | (OCoLC)253886320 (DE-599)BVBBV021279609 |
| dewey-full | 548.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 548 - Crystallography |
| dewey-raw | 548.8 |
| dewey-search | 548.8 |
| dewey-sort | 3548.8 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie Physik |
| discipline_str_mv | Chemie / Pharmazie Physik |
| format | Book |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV021279609 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:46:43Z |
| indexdate | 2024-07-09T20:34:34Z |
| institution | BVB |
| isbn | 9783527405435 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014600630 |
| oclc_num | 253886320 |
| open_access_boolean | |
| owner | DE-20 DE-29T DE-703 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-92 DE-355 DE-BY-UBR DE-384 DE-83 DE-11 DE-188 |
| owner_facet | DE-20 DE-29T DE-703 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-92 DE-355 DE-BY-UBR DE-384 DE-83 DE-11 DE-188 |
| physical | XIV, 439 Seiten Illustrationen, Diagramme |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | WILEY-VCH |
| record_format | marc |
| series2 | Physics textbook |
| spelling | Haussühl, Siegfried 1927- Verfasser (DE-588)116549378 aut Physical properties of crystals an introduction Siegfried Haussühl Weinheim WILEY-VCH 2007 XIV, 439 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Physics textbook Kristallographie Kristallphysik - Lehrbuch Crystallography Maßeinheit (DE-588)4074617-3 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf Maßsystem (DE-588)4169063-1 gnd rswk-swf Kristallphysik (DE-588)4165768-8 gnd rswk-swf Kristallographie (DE-588)4033217-2 gnd rswk-swf Zustandsgleichung (DE-588)4068158-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Kristallographie (DE-588)4033217-2 s Kristallphysik (DE-588)4165768-8 s DE-188 Zustandsgleichung (DE-588)4068158-0 s 1\p DE-604 Maßeinheit (DE-588)4074617-3 s 2\p DE-604 Thermodynamik (DE-588)4059827-5 s 3\p DE-604 Maßsystem (DE-588)4169063-1 s 4\p DE-604 Gruppentheorie (DE-588)4072157-7 s 5\p DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014600630&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Haussühl, Siegfried 1927- Physical properties of crystals an introduction Kristallographie Kristallphysik - Lehrbuch Crystallography Maßeinheit (DE-588)4074617-3 gnd Gruppentheorie (DE-588)4072157-7 gnd Thermodynamik (DE-588)4059827-5 gnd Maßsystem (DE-588)4169063-1 gnd Kristallphysik (DE-588)4165768-8 gnd Kristallographie (DE-588)4033217-2 gnd Zustandsgleichung (DE-588)4068158-0 gnd |
| subject_GND | (DE-588)4074617-3 (DE-588)4072157-7 (DE-588)4059827-5 (DE-588)4169063-1 (DE-588)4165768-8 (DE-588)4033217-2 (DE-588)4068158-0 (DE-588)4123623-3 |
| title | Physical properties of crystals an introduction |
| title_auth | Physical properties of crystals an introduction |
| title_exact_search | Physical properties of crystals an introduction |
| title_exact_search_txtP | Physical properties of crystals an introduction |
| title_full | Physical properties of crystals an introduction Siegfried Haussühl |
| title_fullStr | Physical properties of crystals an introduction Siegfried Haussühl |
| title_full_unstemmed | Physical properties of crystals an introduction Siegfried Haussühl |
| title_short | Physical properties of crystals |
| title_sort | physical properties of crystals an introduction |
| title_sub | an introduction |
| topic | Kristallographie Kristallphysik - Lehrbuch Crystallography Maßeinheit (DE-588)4074617-3 gnd Gruppentheorie (DE-588)4072157-7 gnd Thermodynamik (DE-588)4059827-5 gnd Maßsystem (DE-588)4169063-1 gnd Kristallphysik (DE-588)4165768-8 gnd Kristallographie (DE-588)4033217-2 gnd Zustandsgleichung (DE-588)4068158-0 gnd |
| topic_facet | Kristallographie Kristallphysik - Lehrbuch Crystallography Maßeinheit Gruppentheorie Thermodynamik Maßsystem Kristallphysik Zustandsgleichung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014600630&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT haussuhlsiegfried physicalpropertiesofcrystalsanintroduction |