Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 7
... suffix notation . It is convenient now to shorten our notation . Equations ( 5 ) may be written or , more compactly , as Pi = P2 - 3 3 ΣΤ2 ; 4 ; ΣΤ P3 = Σ Tзj Ij 3 Pi TijIj P1 = Σ T1jq ; ( i = 1 , 2 , 3 ) . We now leave out the ...
... suffix notation . It is convenient now to shorten our notation . Equations ( 5 ) may be written or , more compactly , as Pi = P2 - 3 3 ΣΤ2 ; 4 ; ΣΤ P3 = Σ Tзj Ij 3 Pi TijIj P1 = Σ T1jq ; ( i = 1 , 2 , 3 ) . We now leave out the ...
Page 134
... suffixes this becomes = 8ijkla imajnako alp & mnop ' ( 11 ) which is the necessary transformation law . It is worth noting , as a reminder of the economy of the dummy suffix notation , that equation ( 11 ) typifies 34 equations each ...
... suffixes this becomes = 8ijkla imajnako alp & mnop ' ( 11 ) which is the necessary transformation law . It is worth noting , as a reminder of the economy of the dummy suffix notation , that equation ( 11 ) typifies 34 equations each ...
Page 150
... notation introduced in Chapters VII and VIII in the piezo- electric equations Pi = P1 = d1joj , Ej εj = d1j Ei , and the elasticity equations Ei = Sij ... suffix notation , x ; THE MATRIX METHOD The matrix and tensor notations Matrix algebra.
... notation introduced in Chapters VII and VIII in the piezo- electric equations Pi = P1 = d1joj , Ej εj = d1j Ei , and the elasticity equations Ei = Sij ... suffix notation , x ; THE MATRIX METHOD The matrix and tensor notations Matrix algebra.
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