Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 6
... tensor of zero rank ( a scalar ) is specified by a single number unrelated to any axes of reference . ( ii ) A tensor of the first rank ( a vector ) is specified by three numbers ... second - rank tensors relating 6 CH . I GENERAL PRINCIPLES.
... tensor of zero rank ( a scalar ) is specified by a single number unrelated to any axes of reference . ( ii ) A tensor of the first rank ( a vector ) is specified by three numbers ... second - rank tensors relating 6 CH . I GENERAL PRINCIPLES.
Page 30
... tensor is a physical quantity whose com- ponents transform according to the following laws . 3. Transformation laws for tensors ( Table 2 , p . 13 ) . Zero - rank tensor ( scalar ) : First - rank tensor ( vector ) : Second - rank tensor ...
... tensor is a physical quantity whose com- ponents transform according to the following laws . 3. Transformation laws for tensors ( Table 2 , p . 13 ) . Zero - rank tensor ( scalar ) : First - rank tensor ( vector ) : Second - rank tensor ...
Page 270
... second - rank tensor , except for the signs . Physical quantities that transform according to ( 13 ) are called axial second - rank tensors . The ordinary second - rank tensors that we have met hitherto may be called polar second - rank ...
... second - rank tensor , except for the signs . Physical quantities that transform according to ( 13 ) are called axial second - rank tensors . The ordinary second - rank tensors that we have met hitherto may be called polar second - rank ...
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