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

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Page 22

This is most easily investigated by considering the

surface, whose equation contains as many independent coefficients as there are

independent components in a symmetrical second-rank tensor, represents the ...

This is most easily investigated by considering the

**representation quadric**. Thissurface, whose equation contains as many independent coefficients as there are

independent components in a symmetrical second-rank tensor, represents the ...

Page 23

only way in which it can possess a 4-, 6- or 3-fold axis is for this axis to be a

principal axis, and for the quadric to be a ... 280)t Nature of

axes in ...

only way in which it can possess a 4-, 6- or 3-fold axis is for this axis to be a

principal axis, and for the quadric to be a ... 280)t Nature of

**representation****quadric**and its orientation Number of independent coefficients Tensor referred toaxes in ...

Page 31

The

or, referred to principal axes (§ 4.1), 8^+8,14+8,3$ = 1. Radius vector property (§

7.1). The radius vector r of the

The

**representation quadric**for the symmetrical tensor [Sij] is denned as sUxixi = !;or, referred to principal axes (§ 4.1), 8^+8,14+8,3$ = 1. Radius vector property (§

7.1). The radius vector r of the

**representation quadric**is connected with the ...### 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