Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 19
... consider again the example of electrical conductivity that we began with on p . 4 . We have - j1 = σ1E1 , j2 = 02 E2 , j3 = σ3 E3 , X2 jz E ( 31 ) where σ1 , 02 , σ3 are the principal components of the conductivity tensor , or , shortly ...
... consider again the example of electrical conductivity that we began with on p . 4 . We have - j1 = σ1E1 , j2 = 02 E2 , j3 = σ3 E3 , X2 jz E ( 31 ) where σ1 , 02 , σ3 are the principal components of the conductivity tensor , or , shortly ...
Page 118
... consider again a crystal possessing a centre of symmetry . The transformation matrix is aij = -8ij . The transformed piezoelectric moduli are thus , by equation ( 11 ) , dijk = auаjmakn dimn = -SuSim Skn dimn = -dijk by the substitution ...
... consider again a crystal possessing a centre of symmetry . The transformation matrix is aij = -8ij . The transformed piezoelectric moduli are thus , by equation ( 11 ) , dijk = auаjmakn dimn = -SuSim Skn dimn = -dijk by the substitution ...
Page 175
... consider the energy of the system . Considering unit volume , we know from the first law of thermodynamics that , if a small amount of heat dQ flows into the crystal and a small amount of work dW is done on the crystal by external ...
... consider the energy of the system . Considering unit volume , we know from the first law of thermodynamics that , if a small amount of heat dQ flows into the crystal and a small amount of work dW is done on the crystal by external ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
EQUILIBRIUM PROPERTIES | 51 |
ELECTRIC POLARIZATION | 68 |
18 other sections not shown
Common terms and phrases
angle anisotropic applied axial vector centre of symmetry Chapter coefficients conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dielectric dijk direction cosines dummy suffix elastic electric field ellipsoid equation example force given grad H₁ H₂ heat flow Hence hexagonal homogeneous indicatrix isothermal isotropic k₁ magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optical activity orientation orthorhombic Ox₁ P₁ parallel Peltier permittivity perpendicular photoelastic effect piezoelectric effect plane plate polarization principal axes produced pyroelectric pyroelectric effect quantities radius vector referred refractive index relation representation quadric represented right-handed rotation S₁ scalar second-rank tensor set of axes shear strain stress suffix notation surface susceptibility symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values x₁ Young's Modulus zero