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

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Page 27

We have already met special cases of this property, in that the

the directions of the semi-axes are of lengths 1/Va1. 1/V<72, 1/Va,. The same

considerations apply to any second-rank symmetrical tensor property <Sy. In

general ...

We have already met special cases of this property, in that the

**radius vectors**inthe directions of the semi-axes are of lengths 1/Va1. 1/V<72, 1/Va,. The same

considerations apply to any second-rank symmetrical tensor property <Sy. In

general ...

Page 28

The radius-normal property of the represent at ion ellipsoid. The figure shows the

central section of the ellipsoid which contains the

normal from 0 on to the tangent plane at P. The tangent plane is thus seen on

edge.

The radius-normal property of the represent at ion ellipsoid. The figure shows the

central section of the ellipsoid which contains the

**radius vector**OP and thenormal from 0 on to the tangent plane at P. The tangent plane is thus seen on

edge.

Page 31

connected with the magnitude £ of the property in that direction by Radius-normal

property (§ 7.2). If pi = S^qj, and if a

**Radius vector**property (§7.1). The**radius vector**r of the representation quadric isconnected with the magnitude £ of the property in that direction by Radius-normal

property (§ 7.2). If pi = S^qj, and if a

**radius vector**OP of the representation ...### What people are saying - Write a review

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### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

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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