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

### From inside the book

Results 1-3 of 28

Page 119

Their Representation by Tensors and Matrices J. F Nye. us consider what effect a

diad axis has on the

transformation is Xj -> xl, x.£ -> x2, x3 -> x3, or, more compactly, l-▻-l, 2->-2, 3->3

.

Their Representation by Tensors and Matrices J. F Nye. us consider what effect a

diad axis has on the

**moduli**. Suppose the diad axis is parallel to x3. Then thetransformation is Xj -> xl, x.£ -> x2, x3 -> x3, or, more compactly, l-▻-l, 2->-2, 3->3

.

Page 122

Their Representation by Tensors and Matrices J. F Nye. and, for a 6-fold axis, - ^

112 = ^122 ^211 = ^212 — ^222 = 0- (27) The conditions on the other

derived in a straightforward way and are found to be, for a 3-fold or a 6-fold axis,

...

Their Representation by Tensors and Matrices J. F Nye. and, for a 6-fold axis, - ^

112 = ^122 ^211 = ^212 — ^222 = 0- (27) The conditions on the other

**moduli**arederived in a straightforward way and are found to be, for a 3-fold or a 6-fold axis,

...

Page 123

number of independent

The relation of the reference axes to the symmetry elements conforms, except

where otherwise stated, to the conventions recommended in Standards on ...

number of independent

**moduli**in each class is shown in brackets after the matrix.The relation of the reference axes to the symmetry elements conforms, except

where otherwise stated, to the conventions recommended in Standards on ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

69 other sections not shown

### Other editions - View all

### 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