Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 8
... equation ; while the dummy suffixes must occur as pairs in each term . This is a logical necessity from the meaning of the notation . For example , we might have an equation of this sort : Ajj + Bik Cki Dj = Eik Fkj ; kl i , j are free ...
... equation ; while the dummy suffixes must occur as pairs in each term . This is a logical necessity from the meaning of the notation . For example , we might have an equation of this sort : Ajj + Bik Cki Dj = Eik Fkj ; kl i , j are free ...
Page 76
... equations ( 18 ) and ( 19 ) we obtain , respectively , Poisson's equation and Laplace's equation : аф , аф , агф + ax = P and аф , аф , аф + + = 0 . The known solutions of these two equations may therefore be imme- diately transformed ...
... equations ( 18 ) and ( 19 ) we obtain , respectively , Poisson's equation and Laplace's equation : аф , аф , агф + ax = P and аф , аф , аф + + = 0 . The known solutions of these two equations may therefore be imme- diately transformed ...
Page 174
... equation ( 9 ) is short for nine equations ; in all , equations ( 9 ) and ( 10 ) stand for ten equations each with ten terms on the right - hand side . The four derivatives in ( 9 ) and ( 10 ) have physical meanings . Putting dT = 0 in ...
... equation ( 9 ) is short for nine equations ; in all , equations ( 9 ) and ( 10 ) stand for ten equations each with ten terms on the right - hand side . The four derivatives in ( 9 ) and ( 10 ) have physical meanings . Putting dT = 0 in ...
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