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

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Page 83

Since the stress is homogeneous, the forces exerted on the cube across the three

opposite faces must be equal and opposite to those shown ... cr22 or 0-33

implies a corresponding

stress.

Since the stress is homogeneous, the forces exerted on the cube across the three

opposite faces must be equal and opposite to those shown ... cr22 or 0-33

implies a corresponding

**tensile stress**; a negative value implies a compressivestress.

Page 110

1 . The direct piezoelectric effect IF a

develop an electric moment whose magnitude is proportional to the applied

1 . The direct piezoelectric effect IF a

**stress**is applied to certain crystals theydevelop an electric moment whose magnitude is proportional to the applied

**stress**. This is known as the direct piezoelectric effect. For example, if a uniaxial**tensile**...Page 125

If a

7.3), equation (17) shows that the components of polarization are given by the

moduli in the first column of the matrix; thus The polarization is therefore directed

...

If a

**tensile stress**ar is applied parallel to xl, which is a diad axis of the crystal (Fig.7.3), equation (17) shows that the components of polarization are given by the

moduli in the first column of the matrix; thus The polarization is therefore directed

...

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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