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

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Page 109

If the temperature of a crystal i3 raised uniformly by an amount AT, the crystal

undergoes a homogeneous strain given by eij = cm AT, where the a+j are the

are ...

If the temperature of a crystal i3 raised uniformly by an amount AT, the crystal

undergoes a homogeneous strain given by eij = cm AT, where the a+j are the

**coefficients**of thermal expansion, [a^] is a symmetrical second-rank tensor. Thereare ...

Page 180

(33) By comparing

TM Differentiating the first of these equations with respect to Ek, and the second

with respect to aij after changing the suffixes from i to k, then gives / e*t, \ =/a^\ ...

(33) By comparing

**coefficients**in equations (32) and (33) we obtain (a,=-«* Q,r-s-TM Differentiating the first of these equations with respect to Ek, and the second

with respect to aij after changing the suffixes from i to k, then gives / e*t, \ =/a^\ ...

Page 187

(i) Pyroelectric and electrocaloric

4.4). ne — n" — — *B rK-T dT IW\ pi pi — a-jkcjklmailm- \00) (ii) Electrically

clamped, and free, thermal expansion and piezocaloric

_dfcWpf.

(i) Pyroelectric and electrocaloric

**coefficients**at constant stress and strain (see §4.4). ne — n" — — *B rK-T dT IW\ pi pi — a-jkcjklmailm- \00) (ii) Electrically

clamped, and free, thermal expansion and piezocaloric

**coefficients**. a„_af; =_dfcWpf.

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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