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

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Page 109

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

undergoes a homogeneous strain given by •y-OyAT, where the ay are the

are ...

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

undergoes a homogeneous strain given by •y-OyAT, where the ay are the

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

Page 180

Hence O is also a function of (ay, Et, T) and we may write /a.B By comparing

/s = -s- SaiilE.T \SEila,T \8T/a,E Differentiating the first of these equations with ...

Hence O is also a function of (ay, Et, T) and we may write /a.B By comparing

**coefficients**in equations (32) and (33) we obtain 8®\ W n W c — = -««, hp- = -A. o/s = -s- SaiilE.T \SEila,T \8T/a,E Differentiating the first of these equations with ...

Page 187

(i) Pyroelectric and eleclrocaloric

4.4). Jjj_rf = .^r^. (56) (ii) Electrically clamped, and free, thermal expansion and

piezocaloric

...

(i) Pyroelectric and eleclrocaloric

**coefficients**at constant stress and strain (see §4.4). Jjj_rf = .^r^. (56) (ii) Electrically clamped, and free, thermal expansion and

piezocaloric

**coefficients**. ^_^ = .^^r^. (67) (iii) Isothermal and adiabatic direct and...

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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