Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 16
... quadric ; to find how the † For the properties of quadrics ( or conicoids ) see Bell ( 1937 ) or Eisenhart ( 1939 ) . components of such a tensor transform we need only examine 16 CH . I GENERAL PRINCIPLES The representation quadric.
... quadric ; to find how the † For the properties of quadrics ( or conicoids ) see Bell ( 1937 ) or Eisenhart ( 1939 ) . components of such a tensor transform we need only examine 16 CH . I GENERAL PRINCIPLES The representation quadric.
Page 22
... representation quadric . This surface , whose equation contains as many independent coefficients as there are independent components in a symmetrical second - rank tensor , represents the tensor property completely . Its symmetry is the ...
... representation quadric . This surface , whose equation contains as many independent coefficients as there are independent components in a symmetrical second - rank tensor , represents the tensor property completely . Its symmetry is the ...
Page 31
Their Representation by Tensors and Matrices John Frederick Nye. 8. Representation quadric ( § 4 ) . The representation quadric for the sym- metrical tensor [ S1 ; ] is defined as S1 ; x¡ x¡ = 1 ; j or , referred to principal axes ...
Their Representation by Tensors and Matrices John Frederick Nye. 8. Representation quadric ( § 4 ) . The representation quadric for the sym- metrical tensor [ S1 ; ] is defined as S1 ; x¡ x¡ = 1 ; j or , referred to principal axes ...
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