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

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Page 20

It may be stated as follows: The

crystal must include the

point group of a crystal is the group of macroscopic

It may be stated as follows: The

**symmetry elements**of any physical property of acrystal must include the

**symmetry elements**of the point group of the crystal. Thepoint group of a crystal is the group of macroscopic

**symmetry elements**that its ...Page 21

Now suppose we wish to know whether a property has a certain

we operate with the potential

investigate ...

Now suppose we wish to know whether a property has a certain

**symmetry****element**or not. First we measure the property relative to some fixed axes. Thenwe operate with the potential

**symmetry element**on the crystal,f an<^ againinvestigate ...

Page 278

denote mirror planes or planes of symmetry perpendicular to the plane of the

paper. The patterns on the two sides of a plane of symmetry are related as the

object and its image in a plane mirror. A list of

...

denote mirror planes or planes of symmetry perpendicular to the plane of the

paper. The patterns on the two sides of a plane of symmetry are related as the

object and its image in a plane mirror. A list of

**symmetry elements**into which the...

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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