Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 7
... written in this notation the free suffixes must be the same † The arrangement of the suffixes in equation ( 9 ) follows the accepted rule : the suffix of the q term is the same as the second suffix of Tij , so that when q is written ...
... written in this notation the free suffixes must be the same † The arrangement of the suffixes in equation ( 9 ) follows the accepted rule : the suffix of the q term is the same as the second suffix of Tij , so that when q is written ...
Page 115
... written the converse effect is written P1 = dijkjk › Ejk dijk Ei . = ( 3 ) ( 19 ) thermo- = € kj it The proof of this equality of the coefficients is based on dynamical reasoning and is given in Chapter X. Since Єjk follows that dijk is ...
... written the converse effect is written P1 = dijkjk › Ejk dijk Ei . = ( 3 ) ( 19 ) thermo- = € kj it The proof of this equality of the coefficients is based on dynamical reasoning and is given in Chapter X. Since Єjk follows that dijk is ...
Page 154
... written AP = PAT , ( 13 ) [ Ch . IV , ( 21 ) ] ( 14 ) where AP and p are single - column matrices . Notice here that the multiplication of a matrix by a single number ( AT ) multiplies all its elements by the number . Similarly ...
... written AP = PAT , ( 13 ) [ Ch . IV , ( 21 ) ] ( 14 ) where AP and p are single - column matrices . Notice here that the multiplication of a matrix by a single number ( AT ) multiplies all its elements by the number . Similarly ...
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