| Preface |
| List of main symbols |
| Crystals and crystal symmetry / 1： |
| Structure of solids / 1.1： |
| Close-packing structures / 1.2： |
| Two-dimensional lattices / 1.3： |
| Three-dimensional lattices / 1.4： |
| Crystallographic indices for planes; Miller indices / 1.5： |
| Crystallographic direction indices / 1.6： |
| Worked examples on symmetry / 1.7： |
| Problems |
| Introducing tensors / 2： |
| Introduction to the notation / 2.1： |
| Reducing the number of components / 2.2： |
| Transformation of axes / 2.3： |
| Transformation of a vector / 2.4： |
| Transformation of the coordinates of a point / 2.5： |
| Transformation and definition of a tensor / 2.6： |
| Second-rank symmetrical tensors; the representation quadric / 2.7： |
| Neumann's principle / 2.8： |
| Some examples of tensors / 2.9： |
| Worked example showing change of axes for a tensor / 2.10： |
| Problem |
| Second-rank tensors; conductivity / 3： |
| Thermal conductivity and thermal resistivity / 3.1： |
| Heat flow in crystal samples / 3.2： |
| The radius-normal property of the representation quadric / 3.3： |
| Electrical conductivity and electrical resistivity / 3.4： |
| Diffusion / 3.5： |
| Some worked examples of second-rank tensor properties / 3.6： |
| Fourth-rank tensors; elasticity / 4： |
| Introduction / 4.1： |
| Strain / 4.2： |
| Symmetrical and antisymmetrical tensors / 4.3： |
| The strain tensor / 4.4： |
| Stress / 4.5： |
| Elasticity / 4.6： |
| The matrix notation / 4.7： |
| Effect of crystal symmetry; equating components by inspection / 4.8： |
| Elasticity components in cubic crystals and polycrystalline samples / 4.9： |
| Elasticity components in other crystal systems / 4.10： |
| Worked examples on stress, strain and elasticity / 4.11： |
| Crystal optics / 5： |
| The indicatrix / 5.1： |
| The wave surface / 5.3： |
| Biaxial crystals / 5.4： |
| Double refraction (birefringence) at a boundary / 5.5： |
| Worked examples on polarisation and birefringence / 5.6： |
| Axial tensors / 6： |
| Definition of an axial tensor / 6.1： |
| Transformation of axial vectors / 6.2： |
| Transformation of axial tensors / 6.3： |
| Optical activity / 6.4： |
| Optical activity in the presence of birefringence / 6.5： |
| The gyration tensor; second-rank axial tensor / 6.6： |
| The Hall effect; third-rank axial tensor / 6.7： |
| The Hall effect; relationship to symmetry / 6.8： |
| Magnetoresistance and other effects / 6.9： |
| Optoelectronic effects / 7： |
| The linear electro-optic effect (the Pockels effect) / 7.1： |
| The Pockels effect in lithium niobate / 7.3： |
| The Pockels effect in ADP (ammonium dihydrogen phosphate) / 7.4： |
| The Pockels effect in gallium arsenide / 7.5： |
| The quadratic electro-optic effect (the Kerr effect) / 7.6： |
| The Kerr effect in barium titanate / 7.7： |
| The Kerr effect in ADP and KDP / 7.8： |
| Optical switching, intensity modulation and phase modulation / 7.9： |
| Optical beam deflectors / 7.10： |
| Non-linear optics and phase matching / 7.11： |
| Worked examples to show magnitudes in actual materials / 7.12： |
| Further tensor applications / 8： |
| Thermal expansion / 8.1： |
| The pyroelectric effect / 8.3： |
| Piezoelectricity / 8.4： |
| Photoelasticity / 8.5： |
| Incommensurate modulated structures / 8.6： |
| Some concluding comments / 8.7： |
| Appendices |
| Number of independent coefficients for tensors |
| Diagonalisation of a tensor |
| Table of tensor properties |
| References and further reading |
| Answers to problems |
| Index |
| Preface |
| List of main symbols |
| Crystals and crystal symmetry / 1： |
図書
