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

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Page 25

Take electrical

crystal. There will then, in general, be components of j both parallel and

transverse to E. The

component of j ...

Take electrical

**conductivity**as an example (Fig. 1.7). We apply a field E in acrystal. There will then, in general, be components of j both parallel and

transverse to E. The

**conductivity**a in the direction of E is then defined to be thecomponent of j ...

Page 195

XI THERMAL AND ELECTRICAL

and resistivity tensors (i)

maintained between different parts of a solid there is, in general, a flow of heat. If

A1. h2 ...

XI THERMAL AND ELECTRICAL

**CONDUCTIVITY**1. The thermal**conductivity**and resistivity tensors (i)

**Conductivity**. When a difference of temperature ismaintained between different parts of a solid there is, in general, a flow of heat. If

A1. h2 ...

Page 213

The resistivity matrix r = (rtj) is the reciprocal of the

IT* (9) It may be proved (see below) that fcy = kit. Hence rii — ri(, and both the

axes.

The resistivity matrix r = (rtj) is the reciprocal of the

**conductivity**matrix k = (fcy): r =IT* (9) It may be proved (see below) that fcy = kit. Hence rii — ri(, and both the

**conductivity**and resistivity tensors may be referred to their common principalaxes.

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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