## 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 120

d, -d 811, 333- (26) Thus, for example, dn3 transforms into — d223. But we know

that, since the crystal possesses this 2 axis, d113 must transform into itself.

**Hence**, <*u3 ~*. *223, '123 "213 *223 ' *311 '322' ni3, ""312 "^ »322 ""*" *333 ~*. -d, -d 811, 333- (26) Thus, for example, dn3 transforms into — d223. But we know

that, since the crystal possesses this 2 axis, d113 must transform into itself.

Page 309

Inspection shows that this expression is identically equal to v'y(t,,')-v*y(t,M) which

is zero, by (18).

elliptical section. We must now show that the lengths of the semi-axes are the ...

Inspection shows that this expression is identically equal to v'y(t,,')-v*y(t,M) which

is zero, by (18).

**Hence**B'lt = 0. It follows that x[ and xj are the principal axes of theelliptical section. We must now show that the lengths of the semi-axes are the ...

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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