## Physical Properties of Crystals |

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Page 150

IX THE MATRIX METHODf 1. The matrix and tensor notations THE

, e; = dis E. (1) and the elasticity equations et = 8t; o;, or = Coffey, (2) is a

convenient ...

IX THE MATRIX METHODf 1. The matrix and tensor notations THE

**matrix****notation**introduced in Chapters VII and VIII in the piezoelectric equations P = duo, e; = dis E. (1) and the elasticity equations et = 8t; o;, or = Coffey, (2) is a

convenient ...

Page 153

In a similar way equation (4) may be written y = Bz, (10) where z is a (p x 1) matrix

, and equation (5) becomes x = 0.92. ... Crystal properties in

equations in Chapters III to VIII describing crystal properties may all be concisely

...

In a similar way equation (4) may be written y = Bz, (10) where z is a (p x 1) matrix

, and equation (5) becomes x = 0.92. ... Crystal properties in

**matrix notation**Theequations in Chapters III to VIII describing crystal properties may all be concisely

...

Page 319

algebra, 150–3, 155–7. crystal properties in —

calculations, 158–68. method, 150–69. multiplication, 151. non-singular, 155.

**Matrices**for equilibrium properties, 295.**Matrix**, addition and subtraction, 153.algebra, 150–3, 155–7. crystal properties in —

**notation**, 153. examples of —calculations, 158–68. method, 150–69. multiplication, 151. non-singular, 155.

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### Contents

THE GROUND WORK OF CRYSTAL PHYSICS | 3 |

Summary | 29 |

EQUILIBRIUM PROPERTIES | 45 |

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### Common terms and phrases

angle anisotropic applied biaxial birefringence centre of symmetry Chapter conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dielectric direction cosines displacement elastic compliances electric field electro-optical electro-optical effect ellipsoid equal equation example expression follows forces given gives grad heat flow Hence indicatrix isothermal isotropic magnetic magnitude matrix notation measured moduli Mohr circle monoclinic number of independent Onsager's Principle optic axis optical activity orientation parallel permittivity perpendicular photoelastic effect piezoelectric effect plane plate polarization positive principal axes produced pyroelectric effect quadric radius vector referred refractive index relation representation quadric represents right-handed rotation scalar second-rank tensor shear shown shows strain stress 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