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

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Page 240

The Telocity given by the

known. It is then a simple piece of analytical geometry, which we shall omit here,

to show that ...

The Telocity given by the

**indicatrix**construction is the wave velocity. The**indicatrix**construction therefore gives the length of OS when its direction isknown. It is then a simple piece of analytical geometry, which we shall omit here,

to show that ...

Page 252

Before the stress was put on, the

and the refractive index was given by B° = 1/(n°)2. Under the stress the

becomes B1xl+B2xl+B3xl+2Btx2x3+2B&x3xl+2Bex,x2 = I. (28) The matrix

equation ...

Before the stress was put on, the

**indicatrix**was a sphere, B*(xl+x\+xl) - 1, (27)and the refractive index was given by B° = 1/(n°)2. Under the stress the

**indicatrix**becomes B1xl+B2xl+B3xl+2Btx2x3+2B&x3xl+2Bex,x2 = I. (28) The matrix

equation ...

Page 283

The crystal systems are sometimes grouped into three categories on an optical

basis. As is shown in Chapter XIII, §§1.1 and 1.2, the optical properties of

transparent crystals may be described by reference to an ellipsoid called the

The crystal systems are sometimes grouped into three categories on an optical

basis. As is shown in Chapter XIII, §§1.1 and 1.2, the optical properties of

transparent crystals may be described by reference to an ellipsoid called the

**indicatrix**.### What people are saying - Write a review

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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