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

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Page 42

We may show that these three directions are mutually

consider any two of them, defined by A' and A", say. Let the two corresponding

radius vectors be denoted by X'i and X". Then Multiplying (24) by and (25) by X'

and ...

We may show that these three directions are mutually

**perpendicular**. Forconsider any two of them, defined by A' and A", say. Let the two corresponding

radius vectors be denoted by X'i and X". Then Multiplying (24) by and (25) by X'

and ...

Page 85

The forces in the Ox1 direction on the two faces

— \ol2—^.\hx^hx3hx1 and ^a12+-^.^8x2j8x38x1, do. with resultant — Sa:, ox, ox*

. 8x2 1 2 3 Fio. 5.3. Inhomogeneous stress: illustrating the forces on an element ...

The forces in the Ox1 direction on the two faces

**perpendicular**to Ox2 are > ^ » . »— \ol2—^.\hx^hx3hx1 and ^a12+-^.^8x2j8x38x1, do. with resultant — Sa:, ox, ox*

. 8x2 1 2 3 Fio. 5.3. Inhomogeneous stress: illustrating the forces on an element ...

Page 136

The two faces

other four faces will simply increase in area, but the positions of their centres will

be unchanged. The work done by the forces on these last four faces is therefore ...

The two faces

**perpendicular**to Oxl will move outwards by amounts $de1; theother four faces will simply increase in area, but the positions of their centres will

be unchanged. The work done by the forces on these last four faces is therefore ...

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### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

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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