Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 19
... referred to arbitrary axes the number of independent components is six . If the tensor is referred to its principal axes , the number of independent components is reduced to three ; the number of ' degrees of freedom ' is nevertheless ...
... referred to arbitrary axes the number of independent components is six . If the tensor is referred to its principal axes , the number of independent components is reduced to three ; the number of ' degrees of freedom ' is nevertheless ...
Page 31
... referred to principal axes ( § 4.1 ) , S1 x2 + S2 x2 + S2x3 = 1 . Radius vector property ( § 7.1 ) . The radius vector r of the representation quadric is connected with the magnitude S of the property in that direction by S = 1 / r2 ...
... referred to principal axes ( § 4.1 ) , S1 x2 + S2 x2 + S2x3 = 1 . Radius vector property ( § 7.1 ) . The radius vector r of the representation quadric is connected with the magnitude S of the property in that direction by S = 1 / r2 ...
Page 112
... referred to axes Ox1 , and by components o ; when referred to Ox . The polarization is given by P when referred to Ox , and by P when referred to Ox . The general form of the relationship ( 3 ) is the same whatever reference axes are ...
... referred to axes Ox1 , and by components o ; when referred to Ox . The polarization is given by P when referred to Ox , and by P when referred to Ox . The general form of the relationship ( 3 ) is the same whatever reference axes are ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
EQUILIBRIUM PROPERTIES | 51 |
ELECTRIC POLARIZATION | 68 |
18 other sections not shown
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 dijk direction cosines dummy suffix elastic electric field ellipsoid equation example force given grad H₁ H₂ heat flow Hence hexagonal homogeneous indicatrix isothermal isotropic k₁ magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optical activity orientation orthorhombic Ox₁ P₁ parallel Peltier permittivity perpendicular photoelastic effect piezoelectric effect plane plate polarization principal axes produced pyroelectric pyroelectric effect quantities radius vector referred refractive index relation representation quadric represented right-handed rotation S₁ scalar second-rank tensor set of axes shear strain stress suffix notation surface susceptibility symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values x₁ Young's Modulus zero