Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 12
... transform to the nine coefficients T. We have proved that the relation between them , the transformation law for second - rank tensors , is ( 22 ) . This is a most important result ; it is essential that its meaning and significance be ...
... transform to the nine coefficients T. We have proved that the relation between them , the transformation law for second - rank tensors , is ( 22 ) . This is a most important result ; it is essential that its meaning and significance be ...
Page 13
... Transformation laws for tensors Name Scalar Vector φ = Transformation law tensor New in terms of old Old in terms of new 01234 = ( 15 ) = Tij ajPj аikаjlТkl ( 13 ) ( 24 ) ( 22 ) uk аilajmaknTimn Tijk Imn Tajkl = T1 = aakl T ...
... Transformation laws for tensors Name Scalar Vector φ = Transformation law tensor New in terms of old Old in terms of new 01234 = ( 15 ) = Tij ajPj аikаjlТkl ( 13 ) ( 24 ) ( 22 ) uk аilajmaknTimn Tijk Imn Tajkl = T1 = aakl T ...
Page 270
... transformation law of a second - rank tensor , except for the signs . Physical quantities that transform according ... transformation laws for polar and axial tensors of ranks zero , one and two . TABLE 18 Transformation laws for polar ...
... transformation law of a second - rank tensor , except for the signs . Physical quantities that transform according ... transformation laws for polar and axial tensors of ranks zero , one and two . TABLE 18 Transformation laws for polar ...
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