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

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Page 131

As an alternative we could write a = ce, c = l/s, where c is the elastic stiffness

constant, or the stiffness, c is also

definitions must now be generalized. We have seen (Chs. V and VI) that a

homogeneous ...

As an alternative we could write a = ce, c = l/s, where c is the elastic stiffness

constant, or the stiffness, c is also

**Young's Modulus**.! These statements anddefinitions must now be generalized. We have seen (Chs. V and VI) that a

homogeneous ...

Page 143

side, for comparison, we write the same equations in a form frequently used in

elasticity textbooks: 1 , <2 = '2 All *-i< J_ 1 e, = 2(«u-s12)<r« E is

coefficients we ...

side, for comparison, we write the same equations in a form frequently used in

elasticity textbooks: 1 , <2 = '2 All *-i< J_ 1 e, = 2(«u-s12)<r« E is

**Young's****Modulus**, 0 is the Rigidity Modulus and v is Poisson's Ratio. Comparingcoefficients we ...

Page 145

Hexagonal system Notice that in the cubic system

isotropic. The variation with direction depends on (llll+lll3+llll). This quantity is

zero for the directions of the cube axes <100> and has its maximum value of I in

the <HO ...

Hexagonal system Notice that in the cubic system

**Young's Modulus**is notisotropic. The variation with direction depends on (llll+lll3+llll). This quantity is

zero for the directions of the cube axes <100> and has its maximum value of I in

the <HO ...

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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