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

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Page 134

It is worth noting, as a reminder of the economy of the dummy suffix notation, that

equation (11) typifies 34 equations each ... The

siikl and ctikl in the first two and the last two suffixes makes it possible to use the ...

It is worth noting, as a reminder of the economy of the dummy suffix notation, that

equation (11) typifies 34 equations each ... The

**matrix notation**The symmetry ofsiikl and ctikl in the first two and the last two suffixes makes it possible to use the ...

Page 150

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

dtiai, ei = dtiEi, (I) and the elasticity equations ei = 8liai, ai = ctiei, (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 Pi =dtiai, ei = dtiEi, (I) and the elasticity equations ei = 8liai, ai = ctiei, (2) is a

convenient ...

Page 153

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

, and equation (5) becomes x = apz. ... 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 = PZ, (10) where z is a (pX 1) matrix

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

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

...

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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