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

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Page ix

Examples of matrix calculations 158 Summary 168 X.

EQUILIBRIUM PROPERTIES OF CRYSTALS 1. The thermal, electrical and

mechanical properties of a crystal 170 2.

behaviour ...

Examples of matrix calculations 158 Summary 168 X.

**THERMODYNAMICS**OFEQUILIBRIUM PROPERTIES OF CRYSTALS 1. The thermal, electrical and

mechanical properties of a crystal 170 2.

**Thermodynamics**of thermoelasticbehaviour ...

Page 175

Considering unit volume, we know from the first law of

small amount of heat dQ flows into the crystal and a small amount of work dW is

done on the crystal by external forces, the increase in the internal energy dU is a

...

Considering unit volume, we know from the first law of

**thermodynamics**that, if asmall amount of heat dQ flows into the crystal and a small amount of work dW is

done on the crystal by external forces, the increase in the internal energy dU is a

...

Page 181

(39) and the partial derivatives are identifiable as the elastic compliances, the

piezoelectric coefficients, the coefficients of thermal expansion, and so on. From

the first and second laws of

We ...

(39) and the partial derivatives are identifiable as the elastic compliances, the

piezoelectric coefficients, the coefficients of thermal expansion, and so on. From

the first and second laws of

**thermodynamics**we have dU = ade+EdD+TdS. (40)We ...

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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