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

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Page 68

IV ELECTRIC POLARIZATION The polarization of a crystal produced by an

represented by a second-rank tensor. The formal analysis of electric polarization

is closely ...

IV ELECTRIC POLARIZATION The polarization of a crystal produced by an

**electric field**is another example of an anisotropic crystal property that isrepresented by a second-rank tensor. The formal analysis of electric polarization

is closely ...

Page 74

The energy of a polarized crystal When the polarization of a crystal is changed it

may be proved (Bottcher, 1952) that, if the

crystal, the work done is given by dW = vEidDi, (9) where v is the volume of the ...

The energy of a polarized crystal When the polarization of a crystal is changed it

may be proved (Bottcher, 1952) that, if the

**electric field**is entirely confined to thecrystal, the work done is given by dW = vEidDi, (9) where v is the volume of the ...

Page 172

The equation for the pyroelectric effect may be written If we now specify that the

temperature change is to be carried out with the

constant, we have The pyroelectric effect (with the

may ...

The equation for the pyroelectric effect may be written If we now specify that the

temperature change is to be carried out with the

**electric field**in the crystal heldconstant, we have The pyroelectric effect (with the

**electric field**held constant)may ...

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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