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 [ S ;; ] is defined as S¡¡ x¡ x¡ = 1 ; or , referred to principal axes ( § 4.1 ) ...
Their Representation by Tensors and Matrices John Frederick Nye. 8. Representation quadric ( § 4 ) . The representation quadric for the sym- metrical tensor [ S ;; ] is defined as S¡¡ x¡ x¡ = 1 ; or , referred to principal axes ( § 4.1 ) ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
EQUILIBRIUM PROPERTIES | 51 |
ELECTRIC POLARIZATION | 68 |
18 other sections not shown
Common terms and phrases
angle anisotropic applied axial vector centre of symmetry Chapter coefficients conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dielectric dijk direction cosines dummy suffix elastic electric field ellipsoid equation example force given grad H₁ H₂ heat flow Hence hexagonal homogeneous indicatrix isothermal isotropic k₁ magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optical activity orientation orthorhombic Ox₁ P₁ parallel Peltier permittivity perpendicular photoelastic effect piezoelectric effect plane plate polarization principal axes produced pyroelectric pyroelectric effect quantities radius vector referred refractive index relation representation quadric represented right-handed rotation S₁ scalar second-rank tensor set of axes shear strain stress suffix notation surface susceptibility symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values x₁ Young's Modulus zero