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

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Page 33

If Oxl} Ox2, Ox3 are given, two

\, the latitude and longitude for example; the new axes may still rotate about Ox'l,

and so one further

If Oxl} Ox2, Ox3 are given, two

**angles**are necessary to specify the direction of Ox\, the latitude and longitude for example; the new axes may still rotate about Ox'l,

and so one further

**angle**, an**angle**of rotation about Ox'^, is needed to fix them ...Page 97

We do this for [eti] and write where eĢ = i(eĢ+e,,) and w<, = J(e<r-e,,). [eti] so

denned is a symmetrical tensor, for and [toy] so defined is an antisymmetrical

tensor, for We see above that the tensor [ey] giving a pure rotation is antisym-

We do this for [eti] and write where eĢ = i(eĢ+e,,) and w<, = J(e<r-e,,). [eti] so

denned is a symmetrical tensor, for and [toy] so defined is an antisymmetrical

tensor, for We see above that the tensor [ey] giving a pure rotation is antisym-

**Angle**FIG.Page 109

Calculate the three principal expansion coefficients and the

principal expansion directions and Oz. Illustrate the answer by a Mohr circle

diagram (compare the example on p. 161). EXERCISE 6.6. An orthorhombic

crystal ...

Calculate the three principal expansion coefficients and the

**angles**between theprincipal expansion directions and Oz. Illustrate the answer by a Mohr circle

diagram (compare the example on p. 161). EXERCISE 6.6. An orthorhombic

crystal ...

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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