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

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Page ix

Examples of matrix calculations 158 Summary 1 68 X.

EQUILIBRIUM PROPERTIES OF CRYSTALS 1. The thermal, electrical and

mechanical properties of a crystal 170 2.

behaviour ...

Examples of matrix calculations 158 Summary 1 68 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

Take a (9 components), E (3 components), and T as independent variables

defining the

and S are functions of a, E, T. Hence ,n 8D , , 8D , 8D Jm dD = ^da+8EdE+erdT

dS ...

Take a (9 components), E (3 components), and T as independent variables

defining the

**thermodynamic**state. Then e (9 components), D (3 components),and S are functions of a, E, T. Hence ,n 8D , , 8D , 8D Jm dD = ^da+8EdE+erdT

dS ...

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### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

69 other sections not shown

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### Common terms and phrases

angle anisotropic applied biaxial birefringence centre of symmetry Chapter coefficients conductivity crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dijk direction cosines electric field electro-optical effect ellipsoid equal equation example expression follows force given gives heat flow Hence hexagonal indicatrix isothermal isotropic lattice left-handed magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optic axis optical activity orientation permittivity perpendicular photoelastic effect piezoelectric effect plane plate point group positive principal axes produced pyroelectric effect quadric quantities radius vector referred refractive index relation representation quadric represents right-handed rotation scalar second-rank tensor set of axes shear shown shows strain stress suffix notation symbol symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law trigonal uniaxial unit volume values wave normal wave surface written zero