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

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Page 20

We have to examine the question of how the symmetry of a crystal is related to

the symmetry of its physical properties. The key to this question is a ... It is the

basis for the division of crystals into the 32

reader ...

We have to examine the question of how the symmetry of a crystal is related to

the symmetry of its physical properties. The key to this question is a ... It is the

basis for the division of crystals into the 32

**crystal classes**. In what follows thereader ...

Page 122

The total number of independent tensor components necessary for specifying a

particular tensor property in any

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

1951 ...

The total number of independent tensor components necessary for specifying a

particular tensor property in any

**crystal class**may also be found by applyinggroup theory; see Higman (1955) (see also Bhagavantam and Venkatarayudu

1951 ...

Page 253

245, and hence vr12 = ir13. In

fold axis, x2 and x3 are not related by symmetry in the stressed

symmetry of a

...

245, and hence vr12 = ir13. In

**classes**23 and m3, however, where xl is only a 2-fold axis, x2 and x3 are not related by symmetry in the stressed

**crystal**. In fact thesymmetry of a

**crystal**of**class**23 stressed in this way degenerates to that of**class**...

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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