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

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Page 45

2.46 from Q to P. Clearly, S'n and S22 are always intermediate in

S1 and S2 and reach their extreme

axes Ox\ coincide with the principal axes. We see too that (<SJ1+<Si2) has the ...

2.46 from Q to P. Clearly, S'n and S22 are always intermediate in

**value**betweenS1 and S2 and reach their extreme

**values**when R is at P and Q, that is, when theaxes Ox\ coincide with the principal axes. We see too that (<SJ1+<Si2) has the ...

Page 66

The mean

components taken over all possible

is a numerical factor, since the mean

formula ...

The mean

**value**of / for the powder is the mean**value**of these longitudinalcomponents taken over all possible

**values**of I„ l2, l3. This must be of ... where ais a numerical factor, since the mean

**values**of if, l\ and l\ must be equal. But theformula ...

Page 187

Some numerical

schematic array summarizes the orders of magnitude of the coefficients at room

temperature for non- metallic and non-ferroelectric crystals, when they are not ...

Some numerical

**values**have been quoted in previous chapters. The followingschematic array summarizes the orders of magnitude of the coefficients at room

temperature for non- metallic and non-ferroelectric crystals, when they are not ...

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### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

69 other sections not shown

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### Common terms and phrases

angle anisotropic applied biaxial birefringence centre of symmetry Chapter coefficients conductivity crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dijk direction cosines electric field electro-optical effect ellipsoid equal equation example expression follows force given gives heat flow Hence hexagonal indicatrix isothermal isotropic lattice left-handed magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optic axis optical activity orientation permittivity perpendicular photoelastic effect piezoelectric effect plane plate point group positive principal axes produced pyroelectric effect quadric quantities radius vector referred refractive index relation representation quadric represents right-handed rotation scalar second-rank tensor set of axes shear shown shows strain stress suffix notation symbol symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law trigonal uniaxial unit volume values wave normal wave surface written zero