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

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Page 20

It may be stated as

crystal must include the symmetry elements of the point group of the crystal. The

point group of a crystal is the group of macroscopic symmetry elements that its ...

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. The

point group of a crystal is the group of macroscopic symmetry elements that its ...

Page 225

coefficients on the right-hand side of these equations should be symmetrical. It

the nine coefficients of the (l|T)(dT/8xk) in (33) are the same as the nine

coefficients ...

coefficients on the right-hand side of these equations should be symmetrical. It

**follows**at once that (a,-fc) and (yik) are symmetrical matrices. It also**follows**thatthe nine coefficients of the (l|T)(dT/8xk) in (33) are the same as the nine

coefficients ...

Page 245

The order of magnitude of the secondary effect may be found as

produces a piezoelectric strain, e = dE. This produces in turn a change in B given

by Afi == pe = (pd)E. According to the rough figures we have been using, the ...

The order of magnitude of the secondary effect may be found as

**follows**. A field Eproduces a piezoelectric strain, e = dE. This produces in turn a change in B given

by Afi == pe = (pd)E. According to the rough figures we have been using, 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