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

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Page 126

Representation

, provided it is symmetrical, may be represented by a quadric

hyperboloid). Representation

Representation

**surfaces**As we have seen in Chapter I, § 4, a second-rank tensor, provided it is symmetrical, may be represented by a quadric

**surface**(ellipsoid orhyperboloid). Representation

**surfaces**may also be given for third- rank tensors ...Page 127

Ox'2, Ox't. The polarization component in the Ox\ direction will be given by and, in

particular, Pi = d'ln a'n. d'ni therefore measures the 'longitudinal' piezoelectric ...

**surface**. A polarization will be set up with components in all three directions Ox\,Ox'2, Ox't. The polarization component in the Ox\ direction will be given by and, in

particular, Pi = d'ln a'n. d'ni therefore measures the 'longitudinal' piezoelectric ...

Page 129

The section of the

putting m = 0 and l = cos 0 in equation (28), where 6 is again the angle between

the radius vector and Oxl. We have r = du coss0, which gives the section shown

in ...

The section of the

**surface**by the plane containing Oxl and Oxs is obtained byputting m = 0 and l = cos 0 in equation (28), where 6 is again the angle between

the radius vector and Oxl. We have r = du coss0, which gives the section shown

in ...

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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