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

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Page 122

The total

particular tensor property in any crystal class may also be found by applying

group theory; see Higman (1955) (see also Bhagavantam and Venkatarayudu

1951 ...

The total

**number of independent**tensor components necessary for specifying aparticular tensor property in any crystal class may also be found by applying

group theory; see Higman (1955) (see also Bhagavantam and Venkatarayudu

1951 ...

Page 248

(iii) Reduction in the

equation (14), AJ5y = ^BH for all Ek and o-w, we have Furthermore, since aw = o-

tt if we ignore body-torques (p. 87), we mayPUt ^ = ^- (22) This last operation is ...

(iii) Reduction in the

**number of independent**photoelastic coefficients. Since, inequation (14), AJ5y = ^BH for all Ek and o-w, we have Furthermore, since aw = o-

tt if we ignore body-torques (p. 87), we mayPUt ^ = ^- (22) This last operation is ...

Page 293

THE

CLASSES IN Table 25, p. 294, are listed, for each of the 32 crystal classes, the

completely.

THE

**NUMBER OF INDEPENDENT**COEFFICIENTS IN THE 32 CRYSTALCLASSES IN Table 25, p. 294, are listed, for each of the 32 crystal classes, the

**number of independent**coefficients needed to specify each crystal propertycompletely.

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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