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

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Page 115

The array of dti

d33 d3t d3S d3j is a matrix. It will be observed that the rows of this matrix

correspond to the layers in the arrangement (13). The matrix notation has the

advantage ...

The array of dti

**written**out as d12 d13 du dls dl(\ dZ2 d23 du d2b d2A (18) d32d33 d3t d3S d3j is a matrix. It will be observed that the rows of this matrix

correspond to the layers in the arrangement (13). The matrix notation has the

advantage ...

Page 154

Similarly, for the magnetic permeability, B = (i.H. (13) The pyroelectric effect given

by AP, = J9, AT [Ch. IV, (21)] may be

single-column matrices. Notice here that the multiplication of a matrix by a ...

Similarly, for the magnetic permeability, B = (i.H. (13) The pyroelectric effect given

by AP, = J9, AT [Ch. IV, (21)] may be

**written**AP = pAT7, (14) where AP and p aresingle-column matrices. Notice here that the multiplication of a matrix by a ...

Page 158

This may be done by

so that we may write x' = axat. (25) It is also possible to develop matrix equations

for the transformation of third- and fourth-rank tensor components (Bond 1943) ...

This may be done by

**writing**the ait term after the K^ term and transposing, thus:so that we may write x' = axat. (25) It is also possible to develop matrix equations

for the transformation of third- and fourth-rank tensor components (Bond 1943) ...

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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 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