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

### From inside the book

Results 1-3 of 82

Page 20

We have to examine the question of how the

the

postulate of

We have to examine the question of how the

**symmetry**of a**crystal**is related tothe

**symmetry**of its physical properties. The key to this question is a fundamentalpostulate of

**crystal**physics, known as Neumann's Principle. It may be stated as ...Page 22

But Neumann's Principle states that the symmetry of the property depends on the

point group. Therefore Neumann's Principle does not apply to X-ray diffraction.

5.1. The effect of

But Neumann's Principle states that the symmetry of the property depends on the

point group. Therefore Neumann's Principle does not apply to X-ray diffraction.

5.1. The effect of

**crystal symmetry**on second-rank tensor properties.Page 321

Stiffnesses, elastic, 131-49. non-vanishing, 140-1. relation to compliances, 147.

Strain, 93-109. and

engineering strains, 102. one-dimensional, 93. plane strain, 103. principal axes

of, 100.

Stiffnesses, elastic, 131-49. non-vanishing, 140-1. relation to compliances, 147.

Strain, 93-109. and

**crystal symmetry**, 104. ellipsoid, 101-2. energy, 136-7.engineering strains, 102. one-dimensional, 93. plane strain, 103. principal axes

of, 100.

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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