Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 14
... set of axes x1 , has three components p ; that transform according to equations ( 13 ) . Let us examine this definition more closely ( Eddington 1923 ) . We have three numbers p1 , P2 , P3 which we associate with a certain set of axes ...
... set of axes x1 , has three components p ; that transform according to equations ( 13 ) . Let us examine this definition more closely ( Eddington 1923 ) . We have three numbers p1 , P2 , P3 which we associate with a certain set of axes ...
Page 15
... set of axes , the nine coefficients T1 ; connect the components of two vectors p ; and q , in linear relationships , Pi then , on changing to another set of axes , the T , transform according to equation ( 22 ) , and hence form a second ...
... set of axes , the nine coefficients T1 ; connect the components of two vectors p ; and q , in linear relationships , Pi then , on changing to another set of axes , the T , transform according to equation ( 22 ) , and hence form a second ...
Page 37
... axes . Consider first the transformation that leaves the axes unchanged , called the identical transformation , ( ais ) = 1 0 = ( Sij ) , 0 1 0 0 1 = +1 . Now imagine the by equation ( 9 ) . In this case evidently | a , ; | new set of axes ...
... axes . Consider first the transformation that leaves the axes unchanged , called the identical transformation , ( ais ) = 1 0 = ( Sij ) , 0 1 0 0 1 = +1 . Now imagine the by equation ( 9 ) . In this case evidently | a , ; | new set of axes ...
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