Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 105
... represents the displacement of a point x ; in a deformed body , we define the tensor [ e ;; ] by bij = Jui dx ; · The symmetrical part of this tensor , with components Eij = ( eij + eji ) , represents the strain at the point ; the ...
... represents the displacement of a point x ; in a deformed body , we define the tensor [ e ;; ] by bij = Jui dx ; · The symmetrical part of this tensor , with components Eij = ( eij + eji ) , represents the strain at the point ; the ...
Page 242
... represents D as a function of E for changes carried out slowly . Curve B represents the relation between D and E for changes at optical frequencies . Suppose , then , that a light wave travels through the crystal with E parallel to the ...
... represents D as a function of E for changes carried out slowly . Curve B represents the relation between D and E for changes at optical frequencies . Suppose , then , that a light wave travels through the crystal with E parallel to the ...
Page 259
... represents the linear photoelastic effect , and the term b represents the Kerr effect ; both these effects can exist in crystals of any symmetry . By writing down the appropriate derivatives , and using the thermodynamic relations of ...
... represents the linear photoelastic effect , and the term b represents the Kerr effect ; both these effects can exist in crystals of any symmetry . By writing down the appropriate derivatives , and using the thermodynamic relations of ...
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