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

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Page 19

[In a symmetrical tensor

components is six. If the tensor is

independent components is reduced to three; the number of 'degrees of freedom'

is ...

[In a symmetrical tensor

**referred**to arbitrary axes the number of independentcomponents is six. If the tensor is

**referred**to its principal axes, the number ofindependent components is reduced to three; the number of 'degrees of freedom'

is ...

Page 31

The representation quadric for the symmetrical tensor [<Sy] is defined as Siixixi =

1; or,

(§7.1). The radius vector r of the representation quadric is connected with the ...

The representation quadric for the symmetrical tensor [<Sy] is defined as Siixixi =

1; or,

**referred**to principal axes (§ 4.1), SlXl+Stx*+S,xl = 1. Radius vector property(§7.1). The radius vector r of the representation quadric is connected with the ...

Page 112

Suppose that the crystal is subjected to a certain fixed stress, which is given by

components CTW when

when ...

Suppose that the crystal is subjected to a certain fixed stress, which is given by

components CTW when

**referred**to axes Oxi, and by components o'ii when**referred**to Ox\. The polarization is given by Pt when**referred**to Oxi, and by P'twhen ...

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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