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

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Page 9

Our next task is to find out how the values of the nine components Tij transform

when the

change from one

...

Our next task is to find out how the values of the nine components Tij transform

when the

**axes**are transformed. ... By a transformation of**axes**we shall mean achange from one

**set**of mutually perpendicular**axes**to another**set**with the same...

Page 14

We now define a vector as a quantity which, with respect to a

three components pt that transform according to equations (13). Let us examine

this definition more closely (Eddington 1923). We have three numbers pl7 p2, ...

We now define a vector as a quantity which, with respect to a

**set of axes**xv hasthree components pt that transform according to equations (13). Let us examine

this definition more closely (Eddington 1923). We have three numbers pl7 p2, ...

Page 15

The proof now amounts to saying that, if, for any

reconnect the components of two vectors pi and qt in linear relationships, then,

on changing to another

The proof now amounts to saying that, if, for any

**set of axes**, the nine coefficientsreconnect the components of two vectors pi and qt in linear relationships, then,

on changing to another

**set of axes**, the Tij transform according to equation (22), ...### What people are saying - Write a review

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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