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 : Ajj + Bik Cki Dj = Eik Fkj ; kl 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 : Ajj + Bik Cki Dj = Eik Fkj ; kl 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 142
... example . For a numerical example we choose am- monium dihydrogen phosphate ( ADP ) ( class 42m ) . This was the crystal for which piezoelectric data were given on p . 120. The components of the ( 8 , ) and ( c ) matrices in m.k.s. ...
... example . For a numerical example we choose am- monium dihydrogen phosphate ( ADP ) ( class 42m ) . This was the crystal for which piezoelectric data were given on p . 120. The components of the ( 8 , ) and ( c ) matrices in m.k.s. ...
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