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

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Page 209

In more complicated situations, where there are more than two fluxes and

associated forces, equations (25) are generalized to \i = LiiXj (ij = l,2,...,n), (27)

and

j's and ...

In more complicated situations, where there are more than two fluxes and

associated forces, equations (25) are generalized to \i = LiiXj (ij = l,2,...,n), (27)

and

**Onsager's Principle**asserts that Lii = Lji. (28) It is important to notice that thej's and ...

Page 210

made it depend on the wider assertion represented by

Casimir's objection. Casimir (1945) has drawn attention to certain difficulties in

applying

not ...

made it depend on the wider assertion represented by

**Onsager's Principle**.Casimir's objection. Casimir (1945) has drawn attention to certain difficulties in

applying

**Onsager's Principle**to equations (3). In the first place, the heat flows donot ...

Page 211

(32)

being across the crystal boundary. Therefore, (32) still holds in the vacuum, and

hence k3l and ki3 cannot both be zero in the vacuum. (We cannot of course

prove ...

(32)

**Onsager's Principle**, equation (31), shows that T~ 13 =0, the differentiationbeing across the crystal boundary. Therefore, (32) still holds in the vacuum, and

hence k3l and ki3 cannot both be zero in the vacuum. (We cannot of course

prove ...

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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