Physical Properties of Crystals |
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Page 150
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 P1 = dijσj , and the elasticity equations Ei € ¡ = 8¡jσj , Sij Ej ...
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 P1 = dijσj , and the elasticity equations Ei € ¡ = 8¡jσj , Sij Ej ...
Page 153
... matrix , and equation ( 5 ) becomes x = aẞz . 2.2 . Matrix addition and subtraction . If x = ( 10 ) ( 11 ) Ay and w = By , 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 . 2.2 . Matrix addition and subtraction . If x = ( 10 ) ( 11 ) Ay and w = By , 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 . - crystal properties in notation , 153 . 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 . - crystal properties in notation , 153 . examples of calculations , 158-68 . method , 150-69 . multiplication , 151 . non - singular , 155 . notation for elastic ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 11 |
EQUILIBRIUM PROPERTIES | 45 |
PARAMAGNETIC AND DIAMAGNETIC SUSCEPTIBILITY | 53 |
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Common terms and phrases
angle anisotropic applied biaxial birefringence centre of symmetry Chapter coefficients components conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals D₁ defined deformation denoted diad axis dielectric dijk displacement electric field ellipsoid equal equation example expression follows forces given grad H₁ 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 pyroelectric effect quadric radius vector referred refractive index relation representation quadric represents right-handed rotation S₁ scalar second-rank tensor shear shown strain stress suffixes symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values wave normal wave surface x₁ Young's Modulus zero ат