Physical Properties of Crystals |
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Page 11
... suffix notation . It is convenient now to shorten our notation . Equations ( 5 ) may be written - = 3 Σ Taj lj ( 7 ) P1 P2 P3 = Tзj j or , more compactly , as 3 Pi - Σ Tij¶ ; ( i = 1 , 2 , 3 ) . ( 8 ) Pi P1 = T¿¿q , ( i , j = 1 , 2 , 3 ) ...
... suffix notation . It is convenient now to shorten our notation . Equations ( 5 ) may be written - = 3 Σ Taj lj ( 7 ) P1 P2 P3 = Tзj j or , more compactly , as 3 Pi - Σ Tij¶ ; ( i = 1 , 2 , 3 ) . ( 8 ) Pi P1 = T¿¿q , ( i , j = 1 , 2 , 3 ) ...
Page 134
... suffixes this becomes Sijkl = aim a in ako alp Smnop ' ( 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 Sijkl = aim a in ako alp Smnop ' ( 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 P1 = dijσj , and the elasticity equations Ei € ¡ = 8¡jσj , Sij Ej ... suffix notation , Xi = THE MATRIX METHOD The matrix and tensor notations Matrix algebra.
... notation introduced in Chapters VII and VIII in the piezo- electric equations P1 = dijσj , and the elasticity equations Ei € ¡ = 8¡jσj , Sij Ej ... suffix notation , Xi = THE MATRIX METHOD The matrix and tensor notations Matrix algebra.
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 11 |
EQUILIBRIUM PROPERTIES | 45 |
PARAMAGNETIC AND DIAMAGNETIC SUSCEPTIBILITY | 53 |
20 other sections not shown
Common terms and phrases
angle anisotropic applied biaxial birefringence centre of symmetry Chapter coefficients components conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals D₁ defined deformation denoted diad axis dielectric dijk displacement electric field ellipsoid equal equation example expression follows forces given grad H₁ 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 pyroelectric effect quadric radius vector referred refractive index relation representation quadric represents right-handed rotation S₁ scalar second-rank tensor shear shown strain stress suffixes symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values wave normal wave surface x₁ Young's Modulus zero ат