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 Tij connect the components of two vectors p , and q ; in linear relationships , Pi Li then , on changing to another set of axes , the T , transform according to equation ( 22 ) , and hence form a ...
... set of axes , the nine coefficients Tij connect the components of two vectors p , and q ; in linear relationships , Pi Li then , on changing to another set of axes , the T , transform according to equation ( 22 ) , and hence form a ...
Page 37
... axes . Consider first the transformation that leaves the axes unchanged , called the identical transformation , ( αij ) = 1 0 0 = ( Sij ) , 0 1 0 0 0 by equation ( 9 ) . In this case evidently │a ;; | = +1 . Now imagine the = new set of ...
... axes . Consider first the transformation that leaves the axes unchanged , called the identical transformation , ( αij ) = 1 0 0 = ( Sij ) , 0 1 0 0 0 by equation ( 9 ) . In this case evidently │a ;; | = +1 . Now imagine the = new set of ...
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