Tensor Properties of Crystals, Second Edition

Name: Tensor Properties of Crystals, Second Edition
Brand: INST OF PHYSICS PUB
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By: D. Lovett

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Paperback | 1 January 1999 | Edition Number 2

At a Glance

Paperback
180 Pages

Edition Type
New edition

Dimensions(cm)
20.96 x 12.7 x 0.64

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RRP $131.00

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The use of single crystals for scientific and technological applications is now widespread in solid-state physics, optics, electronics, materials science, and geophysics. An understanding of the variation of physical properties with crystalline direction is essential to maximize the performance of solid-state devices.

Written from a physical viewpoint and avoiding advanced mathematics, Tensor Properties of Crystals provides a concise introduction to the tensor properties of crystals at a level suitable for advanced undergraduate and graduate students. While retaining the successful basic format of the well-known first edition, this second edition brings the material up to date with the latest developments in nonlinear optics and modulated structures. Because of the increasing importance of nonlinear optics, a new chapter on optoelectronics has been added. This edition also includes a short discussion on incommensurate modulated structures in the final chapter because they are relevant to high temperature superconductors and to ferroelectric and ferromagnetic materials. The book extensively contains diagrams, worked examples, and problems with answers throughout.

Industry Reviews

"An excellent introduction to the use of tensors in solid state physics...extremely good value for money." Australian & New Zealand Physicist "Simple and clear presentation...suitable for teaching crystal physics as a subsidiary subject" Crystal Research and Technology "The book provides a concise introduction to the tensor properties of crystals at a level suitable for advanced undergraduate students." Zentralblatt vol. 988 ellent introduction to the use of tensors in solid state physics...extremely good value for money." Australian & New Zealand Physicist "Simple and clear presentation...suitable for teaching crystal physics as a subsidiary subject" Crystal Research and Technology "The book provides a concise introduction to the tensor properties of crystals at a level suitable for advanced undergraduate students." Zentralblatt vol. 988

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Preface	p. ix
List of main symbols	p. xi
Crystals and crystal symmetry	p. 1
Structure of solids	p. 1
Close-packing structures	p. 1
Two-dimensional lattices	p. 5
Three-dimensional lattices	p. 7
Crystallographic indices for planes; Miller indices	p. 11
Crystallographic direction indices	p. 13
Worked examples on symmetry	p. 14
Problems	p. 17
Introducing tensors	p. 19
Introduction to the notation	p. 19
Reducing the number of components	p. 20
Transformation of axes	p. 23
Transformation of a vector	p. 24
Transformation of the coordinates of a point	p. 24
Transformation and definition of a tensor	p. 25
Second-rank symmetrical tensors; the representation quadric	p. 27
Neumann's principle	p. 31
Some examples of tensors	p. 31
Worked example showing change of axes for a tensor	p. 33
Problem	p. 35
Second-rank tensors; conductivity	p. 36
Thermal conductivity and thermal resistivity	p. 36
Heat flow in crystal samples	p. 37
The radius-normal property of the representation quadric	p. 40
Electrical conductivity and electrical resistivity	p. 41
Diffusion	p. 42
Some worked examples of second-rank tensor properties	p. 43
Problems	p. 48
Fourth-rank tensors; elasticity	p. 50
Introduction	p. 50
Strain	p. 50
Symmetrical and antisymmetrical tensors	p. 53
The strain tensor	p. 54
Stress	p. 56
Elasticity	p. 57
The matrix notation	p. 58
Effect of crystal symmetry; equating components by inspection	p. 62
Elasticity components in cubic crystals and polycrystalline samples	p. 66
Elasticity components in other crystal systems	p. 68
Worked examples on stress, strain and elasticity	p. 69
Problems	p. 70
Crystal optics	p. 71
Introduction	p. 71
The indicatrix	p. 72
The wave surface	p. 76
Biaxial crystals	p. 79
Double refraction (birefringence) at a boundary	p. 81
Worked examples on polarisation and birefringence	p. 84
Problems	p. 70
Axial tensors	p. 88
Definition of an axial tensor	p. 88
Transformation of axial vectors	p. 88
Transformation of axial tensors	p. 91
Optical activity	p. 91
Optical activity in the presence of birefringence	p. 95
The gyration tensor; second-rank axial tensor	p. 96
The Hall effect; third-rank axial tensor	p. 99
The Hall effect; relationship to symmetry	p. 101
Magnetoresistance and other effects	p. 104
Problems	p. 104
Optoelectronic effects	p. 106
Introduction	p. 106
The linear electro-optic effect (the Pockels effect)	p. 107
The Pockels effect in lithium niobate	p. 109
The Pockels effect in ADP (ammonium dihydrogen phosphate)	p. 112
The Pockels effect in gallium arsenide	p. 114
The quadratic electro-optic effect (the Kerr effect)	p. 117
The Kerr effect in barium titanate	p. 118
The Kerr effect in ADP and KDP	p. 120
Optical switching, intensity modulation and phase modulation	p. 120
Optical beam deflectors	p. 123
Non-linear optics and phase matching	p. 124
Worked examples to show magnitudes in actual materials	p. 126
Problems	p. 129
Further tensor applications	p. 133
Introduction	p. 133
Thermal expansion	p. 133
The pyroelectric effect	p. 135
Piezoelectricity	p. 136
Photoelasticity	p. 137
Incommensurate modulated structures	p. 139
Some concluding comments	p. 144
Problems	p. 144
Appendices	p. 146
Number of independent coefficients for tensors	p. 146
Diagonalisation of a tensor	p. 148
Table of tensor properties	p. 150
References and further reading	p. 153
Answers to problems	p. 156
Index	p. 161
Table of Contents provided by Syndetics. All Rights Reserved.

Tensor Properties of Crystals, Second Edition

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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