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

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Page 70

69), and, in consequence, Ec and Ea are often of the same order of magnitude.

Ec depends on the shape of the crystal. Thus, if two specimens of the same

crystal which differ only in shape are placed in identical fields, Ec, and

will be ...

69), and, in consequence, Ec and Ea are often of the same order of magnitude.

Ec depends on the shape of the crystal. Thus, if two specimens of the same

crystal which differ only in shape are placed in identical fields, Ec, and

**hence**E,,will be ...

Page 96

Displacements in a small rigid- body rotation of a sheet in its own plane.

compared with xl, and

In a similar way, e22 equals the extension per unit length of PQ2 in the Ox2

direction, ...

Displacements in a small rigid- body rotation of a sheet in its own plane.

compared with xl, and

**hence**A% and Aw2 are small compared with ** Thus . — *.In a similar way, e22 equals the extension per unit length of PQ2 in the Ox2

direction, ...

Page 120

—dZZ3. But we know that, since the crystal possesses this 2 axis, dn3 must

transform into itself.

Km ...

**Hence**, »223 "*- *113' 322 ^333 -*- ~ (26) Thus, for example, dn3 transforms into—dZZ3. But we know that, since the crystal possesses this 2 axis, dn3 must

transform into itself.

**Hence**Fio. 7.2. The point-group symmetry elements of class -Km ...

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### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

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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