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

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Page 106

The strain caused by a temperature change (

hand, must conform to the crystal symmetry. Exercise 6.1. A small deformation of

a certain crystal is defined by the tensor [*«] = x 10-«. 8 -1 -1 1 6 0 -5 0 2

Determine ...

The strain caused by a temperature change (

**thermal expansion**), on the otherhand, must conform to the crystal symmetry. Exercise 6.1. A small deformation of

a certain crystal is defined by the tensor [*«] = x 10-«. 8 -1 -1 1 6 0 -5 0 2

Determine ...

Page 107

The coefficient of volume (bulk) expansion is (a1+a2+a3) or, in general, aii, which

is an invariant. The principal

are all positive, and the

The coefficient of volume (bulk) expansion is (a1+a2+a3) or, in general, aii, which

is an invariant. The principal

**thermal expansion**cpefficients 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 eij = cm AT, where the a+j are the coefficients of

SUMMARY OF § 5

**Thermal expansion**. If the temperature of a crystal i3 raiseduniformly 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 ...### What people are saying - Write a review

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### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

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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