Physical Properties of Crystals |
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Page 111
... dijk jk • The dijk are the piezoelectric moduli . ( 3 ) Let us consider the meaning of the various moduli . If a uniaxial tensile stress given by σ11 is applied to the crystal , the resulting polariza- tion has components P1 d11111 P2 ...
... dijk jk • The dijk are the piezoelectric moduli . ( 3 ) Let us consider the meaning of the various moduli . If a uniaxial tensile stress given by σ11 is applied to the crystal , the resulting polariza- tion has components P1 d11111 P2 ...
Page 118
... dijk = а¿a¡mа kn dimn = üаjm -SilSim Skn dimn -dijk ' = by the substitution property of 8. But since the crystal has a centre of symmetry Therefore , dijk = dijk . dijk = 0 . With other symmetry operations the working is not quite as ...
... dijk = а¿a¡mа kn dimn = üаjm -SilSim Skn dimn -dijk ' = by the substitution property of 8. But since the crystal has a centre of symmetry Therefore , dijk = dijk . dijk = 0 . With other symmetry operations the working is not quite as ...
Page 130
... dijk σji , = diki · where the dijk are the piezoelectric moduli ; they form a third - rank tensor . If body - torques are neglected , σ¡j = This reduces the number of independent dijk to 18 . Matrix notation . The second and third ...
... dijk σji , = diki · where the dijk are the piezoelectric moduli ; they form a third - rank tensor . If body - torques are neglected , σ¡j = This reduces the number of independent dijk to 18 . Matrix notation . The second and third ...
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