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

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Page 3

Such non-directional physical quantities are called

value of a

that will appear later, a

Such non-directional physical quantities are called

**scalars**, and we note that thevalue of a

**scalar**is completely specified by giving a single number. For a reasonthat will appear later, a

**scalar**is also called a tensor of zero rank. (ii) Vectors.Page 275

The

the angle between p and q. The vector product of p and q is denoted by p A q: p

Aq = {pqs\nO)\, where 1 is a unit vector perpendicular to p and q such that p, q, ...

The

**scalar**product of p and q is denoted by p .q: PQ = pi?i = pqcosd, where 0 isthe angle between p and q. The vector product of p and q is denoted by p A q: p

Aq = {pqs\nO)\, where 1 is a unit vector perpendicular to p and q such that p, q, ...

Page 320

magnetic susceptibilities, 55. — permittivities, 69. — refractive indices, 237. —

strains, 100. — stresses, 88. — thermal expansion coefficients, 106-7. — wave

velocities, 307. Poynting vector, 309. Pseudo-

154, ...

magnetic susceptibilities, 55. — permittivities, 69. — refractive indices, 237. —

strains, 100. — stresses, 88. — thermal expansion coefficients, 106-7. — wave

velocities, 307. Poynting vector, 309. Pseudo-

**scalar**, 269. Pyroelectricity, 78-80,154, ...

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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