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 112
... referred to axes Ox , 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 Ox , 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 ...
Page 196
... Referred to the principal axes , equations ( 3 ) become simply әт әт = Jx1 _k2 Jxz hз = -ks ( 5 ) Jx3 k1 Xq x¡ = 1 , X j k1x } + k2x2 + k ̧ x2 = 1 . ( 6 ) ( 7 ) The representation quadric for thermal conductivity is or , referred to the ...
... Referred to the principal axes , equations ( 3 ) become simply әт әт = Jx1 _k2 Jxz hз = -ks ( 5 ) Jx3 k1 Xq x¡ = 1 , X j k1x } + k2x2 + k ̧ x2 = 1 . ( 6 ) ( 7 ) The representation quadric for thermal conductivity is or , referred to the ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
3 | 29 |
EQUILIBRIUM PROPERTIES | 51 |
23 other sections not shown
Common terms and phrases
angle anisotropic applied axial B₁ biaxial birefringence centre of symmetry Chapter coefficients components conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals D₁ defined denoted diad axis dielectric dijk direction cosines displacement electric field ellipsoid equal equation example expression follows forces given grad H₁ H₂ heat flow Hence hexagonal indicatrix isothermal isotropic k₁ magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optic axis optical activity orientation orthorhombic Ox₁ P₁ parallel Peltier permittivity perpendicular photoelastic photoelastic effect piezoelectric effect plane plate polarization positive principal axes produced pyroelectric effect quadric radius vector referred refractive index relation representation quadric represents right-handed rotation S₁ scalar second-rank tensor shear shown strain stress symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values wave normal x₁ zero әт