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

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Page 106

The strain produced by a stress (elasticity) or an electric field (piezoelectricity)

need not conform to the symmetry of the crystal unless the strain or the field itself

conforms. The strain caused by a temperature change (

the ...

The strain produced by a stress (elasticity) or an electric field (piezoelectricity)

need not conform to the symmetry of the crystal unless the strain or the field itself

conforms. The strain caused by a temperature change (

**thermal expansion**), onthe ...

Page 107

The coefficient of volume (bulk) expansion is (c^+aa+ctg) or, in general, aii, which

is an invariant. The principal

are all positive, and the

The coefficient of volume (bulk) expansion is (c^+aa+ctg) or, in general, aii, which

is an invariant. The principal

**thermal expansion**coefficients for most substancesare all positive, and the

**thermal expansion**quadric is accordingly an ellipsoid, ...Page 109

SUMMARY OF §5

uniformly by an amount AT, the crystal undergoes a homogeneous strain given

by •y-OyAT, where the ay are the coefficients of

SUMMARY OF §5

**Thermal expansion**. If the temperature of a crystal is raiseduniformly 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 ...### What people are saying - Write a review

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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