Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 37
... hand side is equal to unity . Hence k = | a1 = ± 1 . ( 12 ) If two rows of a ,, | are interchanged , the sign changes . The sign of a , therefore depends on how we choose to number the axes . Consider first the transformation that ...
... hand side is equal to unity . Hence k = | a1 = ± 1 . ( 12 ) If two rows of a ,, | are interchanged , the sign changes . The sign of a , therefore depends on how we choose to number the axes . Consider first the transformation that ...
Page 48
... hand of the axes is unchanged by the transformation , and | aj | -1 - if the hand is changed by the transformation . Definition of vector product ( § 2 ) . If p , and q ; are ( polar ) vectors , the vector product of p and q is the ...
... hand of the axes is unchanged by the transformation , and | aj | -1 - if the hand is changed by the transformation . Definition of vector product ( § 2 ) . If p , and q ; are ( polar ) vectors , the vector product of p and q is the ...
Page 269
... hand of the axes . It follows that the rotatory power p of the crystal will change sign if we change the hand of the reference axes . We call a physical quantity that behaves in this way a pseudo - scalar . Its transformation law may be ...
... hand of the axes . It follows that the rotatory power p of the crystal will change sign if we change the hand of the reference axes . We call a physical quantity that behaves in this way a pseudo - scalar . Its transformation law may be ...
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