Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 6
... example , density p ) ; the components of a vector have one subscript ( for example , E2 ) ; and the components of a second - rank tensor have two subscripts ( for example , σ12 ) . The number of subscripts equals the rank of the tensor ...
... example , density p ) ; the components of a vector have one subscript ( for example , E2 ) ; and the components of a second - rank tensor have two subscripts ( for example , σ12 ) . The number of subscripts equals the rank of the tensor ...
Page 8
... example , we might have an equation of this sort : A 1j + Bik Cki Dj = Eik Fis i , j are free suffixes here and k , l are dummy suffixes . Note that the order of the members of a product does not matter in this notation ; for example ...
... example , we might have an equation of this sort : A 1j + Bik Cki Dj = Eik Fis i , j are free suffixes here and k , l are dummy suffixes . Note that the order of the members of a product does not matter in this notation ; for example ...
Page 119
... Example of a crystal class . The method may now be applied to a crystal class , and we select 42m , the class of ammonium dihydrogen phosphate ( ADP ) , as an example . The symmetry elements are shown on a stereogram in Fig . 7.2a . The ...
... Example of a crystal class . The method may now be applied to a crystal class , and we select 42m , the class of ammonium dihydrogen phosphate ( ADP ) , as an example . The symmetry elements are shown on a stereogram in Fig . 7.2a . The ...
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