Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 150
Their Representation by Tensors and Matrices John Frederick Nye. IX THE MATRIX METHOD † 1. The matrix and tensor notations THE matrix notation introduced in Chapters VII and VIII in the piezo- electric equations Pi = P1 = d1joj , Ej εj ...
Their Representation by Tensors and Matrices John Frederick Nye. IX THE MATRIX METHOD † 1. The matrix and tensor notations THE matrix notation introduced in Chapters VII and VIII in the piezo- electric equations Pi = P1 = d1joj , Ej εj ...
Page 153
... matrix , and equation ( 5 ) becomes X = aßz . ( 10 ) ( 11 ) By , 2.2 . Matrix addition and subtraction . If x = Ay and w = where x , A , y , B and w are matrices , we see , by writing ... MATRIX METHOD Crystal properties in matrix notation.
... matrix , and equation ( 5 ) becomes X = aßz . ( 10 ) ( 11 ) By , 2.2 . Matrix addition and subtraction . If x = Ay and w = where x , A , y , B and w are matrices , we see , by writing ... MATRIX METHOD Crystal properties in matrix notation.
Page 319
... Matrix , addition and subtraction , 153 . algebra , 150-3 , 155–7 . notation , 153 . crystal properties in examples of calculations , 158–68 . method , 150-69 . multiplication , 151 . non - singular , 155 . notation for elastic ...
... Matrix , addition and subtraction , 153 . algebra , 150-3 , 155–7 . notation , 153 . crystal properties in examples of calculations , 158–68 . method , 150-69 . multiplication , 151 . non - singular , 155 . notation for elastic ...
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