## Physical Properties of Crystals: Their Representation by Tensors and Matrices |

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Page xiv

In this book, then, we study how to specify the physical properties of crystals; a

large number of the properties are

tensors, and only these properties will concern us. A list of them is given in ...

In this book, then, we study how to specify the physical properties of crystals; a

large number of the properties are

**represented**by mathematical quantities calledtensors, and only these properties will concern us. A list of them is given in ...

Page 99

This result might have been anticipated by considering that a general rotation is

antisymmetrical second-rank tensor. The three independent components of wy ...

This result might have been anticipated by considering that a general rotation is

**represented**by an axial vector (Ch. II, § 2), and an axial vector is equivalent to anantisymmetrical second-rank tensor. The three independent components of wy ...

Page 169

5) Let an arbitrary direction be

direction, the magnitude S of a symmetrical second-rank tensor property given by

the (3x3) matrix S is S = ltSI. (§ 6) A transformation of axes may be

by ...

5) Let an arbitrary direction be

**represented**by the (3 x 1) matrix I. Then, in thisdirection, the magnitude S of a symmetrical second-rank tensor property given by

the (3x3) matrix S is S = ltSI. (§ 6) A transformation of axes may be

**represented**by ...

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### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

15 other sections not shown

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### Common terms and phrases

angle anisotropic applied axial vector centre of symmetry Chapter coefficients conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dielectric direction cosines displacement dummy suffix electric field ellipsoid equal equation example expression follows force given heat flow Hence hexagonal homogeneous indicatrix isothermal isotropic left-handed length longitudinal magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optical activity orientation parallel Peltier permittivity perpendicular photoelastic effect piezoelectric effect plane plate polarization positive principal axes produced pyroelectric pyroelectric effect quantities radius vector referred refractive refractive index relation representation quadric represented right-handed rotation scalar second-rank tensor set of axes shear stress suffix notation surface susceptibility symmetry elements Table temperature gradient tensile stress thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law trigonal uniaxial unit volume values written Young's Modulus zero