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

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Page 19

If E is

also

the situation is particularly simple: j is

If E is

**parallel**to Ox1y so that Et = E3 = 0, then jt = j3 = 0. Hence, in this case, j isalso

**parallel**to Oxr Thus, when E is directed along any of the three principal axesthe situation is particularly simple: j is

**parallel**to E but the conductivity is ...Page 28

1.9) such that OP is

where Therefore the normal at P has direction cosines proportional to l^a-l, Z2cr2

, 1303. Hence, the normal at P is

1.9) such that OP is

**parallel**to E, then P = (rl^ OP = r. The tangent plane at P is ),where Therefore the normal at P has direction cosines proportional to l^a-l, Z2cr2

, 1303. Hence, the normal at P is

**parallel**to j. This result is evidently general.Page 281

(v) cubic: Ox, Oy, Oz

the 3-fold axes; a = b = c, a = |3 = y = 90°. (vi) trigonal: Oz

axis; a = b^c, a = j8 = 90°, y = 120°. (vii) hexagonal: Oz

...

(v) cubic: Ox, Oy, Oz

**parallel**to the edges of the cube whose body diagonals arethe 3-fold axes; a = b = c, a = |3 = y = 90°. (vi) trigonal: Oz

**parallel**to the 3-foldaxis; a = b^c, a = j8 = 90°, y = 120°. (vii) hexagonal: Oz

**parallel**to the 6-fold axis;...

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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