Physical Properties of Crystals: Their Representation by Tensors and Matrices |
From inside the book
Results 1-3 of 85
Page 45
... value between S , and S2 and reach their extreme values when R is at P and Q , that is , when the axes Ox ; coincide with the principal axes . We see too that ( S11 + S22 ) has the same value for all positions of the axes ; it is an ...
... value between S , and S2 and reach their extreme values when R is at P and Q , that is , when the axes Ox ; coincide with the principal axes . We see too that ( S11 + S22 ) has the same value for all positions of the axes ; it is an ...
Page 160
... values of the coefficients a1 , a2 , ... , a , we can set up an experiment and measure M. Owing to experimental errors we shall not measure the true value of M but shall find a value M + v , where v is the error . We could set up other ...
... values of the coefficients a1 , a2 , ... , a , we can set up an experiment and measure M. Owing to experimental errors we shall not measure the true value of M but shall find a value M + v , where v is the error . We could set up other ...
Page 162
... value of v found from ( 36 ) comes out as 0.13 x 10-6 . -0.13 0.13 -0.13 / Thus , the best values of α11 , 31 , as are given by multiplying the array R by the matrix of expansion measurements . If more than four measurements were ...
... value of v found from ( 36 ) comes out as 0.13 x 10-6 . -0.13 0.13 -0.13 / Thus , the best values of α11 , 31 , as are given by multiplying the array R by the matrix of expansion measurements . If more than four measurements were ...
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