Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 19
... 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 still six , for three ...
... 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 still six , for three ...
Page 42
... principal axes . We may show that these three directions are mutually perpendicular . For consider any two of them , defined by λ ' and X " , say . Let the two corresponding radius vectors be denoted by X ' ; and X " . Then Sij X ...
... principal axes . We may show that these three directions are mutually perpendicular . For consider any two of them , defined by λ ' and X " , say . Let the two corresponding radius vectors be denoted by X ' ; and X " . Then Sij X ...
Page 46
... axis for the lesser principal component out to the right . Label the axes in whatever way is convenient for the problem and then label the diagram in Fig . 2.4 b , c or d to correspond . EXERCISE 2.2 . Show from the Mohr circle ...
... axis for the lesser principal component out to the right . Label the axes in whatever way is convenient for the problem and then label the diagram in Fig . 2.4 b , c or d to correspond . EXERCISE 2.2 . Show from the Mohr circle ...
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