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

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Page 36

The c a determinant of a 3 x 3 matrix, known as a determinant of the third order,

may be denned in terms of determinants of the second order as

determinant a b c d e f g h k stands for Definitions of determinants of higher order

may ...

The c a determinant of a 3 x 3 matrix, known as a determinant of the third order,

may be denned in terms of determinants of the second order as

**follows**. Thedeterminant a b c d e f g h k stands for Definitions of determinants of higher order

may ...

Page 225

coefficients on the right-hand side of these equations should be symmetrical. It

the nine coefficients of the (1 jT)(8T/cxk) in (33) are the same as the nine

coefficients ...

coefficients on the right-hand side of these equations should be symmetrical. It

**follows**at once that (atik) and (yik) are symmetrical matrices. It also**follows**thatthe nine coefficients of the (1 jT)(8T/cxk) in (33) are the same as the nine

coefficients ...

Page 245

The order of magnitude of the secondary effect may be found as

produces a piezoelectric strain, e = dE. This produces in turn a change in B given

by H.B = pe = (pd)E. According to the rough figures we have been using, the ...

The order of magnitude of the secondary effect may be found as

**follows**. A field Eproduces a piezoelectric strain, e = dE. This produces in turn a change in B given

by H.B = pe = (pd)E. According to the rough figures we have been using, the ...

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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