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

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Page 102

uz distinguished from the

be either positive or negative, the

a real or an imaginary ellipsoid or a hyperboloid; the surface given by (11), ...

uz distinguished from the

**strain**quadric. Since the principal**strains**el, e2, e3 canbe either positive or negative, the

**strain**quadric, ei*?+e2*2+eJ*J = !. (12) can bea real or an imaginary ellipsoid or a hyperboloid; the surface given by (11), ...

Page 104

small region in which the

directions may then be defined for each point; they will, in general, be different for

every point of the body. In the same way the

...

small region in which the

**strain**is sensibly homogeneous. Three principal**strain**directions may then be defined for each point; they will, in general, be different for

every point of the body. In the same way the

**strain**at each point of the body may...

Page 105

SUMMARY OF §§ 1-4 Displacements and

throughout. 1. General analysis of

point xi in a deformed body, we define the tensor [ey] by " Cxj The symmetrical

part of this ...

SUMMARY OF §§ 1-4 Displacements and

**strains**assumed to be smallthroughout. 1. General analysis of

**strain**. If ut represents the displacement of apoint xi in a deformed body, we define the tensor [ey] by " Cxj The symmetrical

part of this ...

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### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

69 other sections not shown

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### 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