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

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Page 183

For the piezoelectric effects, for example, it is readily proved, by writing down the

partial derivatives, that ^Hk = e«m*hitf*i eiik = ^timchnjk, either for T or S

throughout. 4. Relations between coefficients measured under different ...

For the piezoelectric effects, for example, it is readily proved, by writing down the

partial derivatives, that ^Hk = e«m*hitf*i eiik = ^timchnjk, either for T or S

**constant**throughout. 4. Relations between coefficients measured under different ...

Page 185

Only in this case would D be

not

magnitude and direction, in P. D and *0E are constrained to be respectively ...

Only in this case would D be

**constant**(zero) in an isolated plate. To see that D isnot

**constant**in the general case we may consider the effect of a small change, inmagnitude and direction, in P. D and *0E are constrained to be respectively ...

Page 186

10.1 b. (i) Isothermal and adiabatic elastic compliances (at

=-«ti«*ATIC") (E

thermoelastic contribution to the compliance. (ii) Electrically clamped and free

elastic ...

10.1 b. (i) Isothermal and adiabatic elastic compliances (at

**constant**field). $u-tfu=-«ti«*ATIC") (E

**constant**). (49) The term on the right may be interpreted as athermoelastic contribution to the compliance. (ii) Electrically clamped and free

elastic ...

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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