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

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Page 21

It ia worth examining more closely what is meant by 'the symmetry of a physical

property'. ... Thus, for example, if we were measuring elasticity and wished to test

for a

It ia worth examining more closely what is meant by 'the symmetry of a physical

property'. ... Thus, for example, if we were measuring elasticity and wished to test

for a

**centre of symmetry**, we could invert the stresses and strains through a ...Page 118

(i)

possessing a

transformed piezoelectric moduli are thus, by equation (11), d'ilk = aaaimakndlmn

...

(i)

**Centre of symmetry**. To illustrate the method let us first consider again a crystalpossessing a

**centre of symmetry**. The transformation matrix is s aii ~" ~°ii- Thetransformed piezoelectric moduli are thus, by equation (11), d'ilk = aaaimakndlmn

...

Page 278

A list of symmetry elements into which the symmetry of any array can be analysed

, together with the operation associated with each element, is as follows: (i)

A list of symmetry elements into which the symmetry of any array can be analysed

, together with the operation associated with each element, is as follows: (i)

**centre of symmetry**: taking an origin of coordinates at the**centre of symmetry**the ...### What people are saying - Write a review

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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