Physical Properties of Crystals: Their Representation by Tensors and Matrices |
From inside the book
Results 1-3 of 26
Page 119
... moduli are therefore those in bold type in the array : = du d111 d112 d113 d122 d123 d133 d211 d212 d213 d222 d223 d233 d311 d312 d313 d322 d323 d333 . ( 24 ) In the matrix ( two - suffix ) notation the corresponding moduli are Ο 0 0 ...
... moduli are therefore those in bold type in the array : = du d111 d112 d113 d122 d123 d133 d211 d212 d213 d222 d223 d233 d311 d312 d313 d322 d323 d333 . ( 24 ) In the matrix ( two - suffix ) notation the corresponding moduli are Ο 0 0 ...
Page 122
... moduli are derived in a straightforward way and are found to be , for a 3 - fold or a 6 - fold axis , d223 , d123 = -d213 , d311 d113 = d133 = d233 = d312 = d313 = d323 = - d322 , 0 . We have thus found the conditions on the moduli for ...
... moduli are derived in a straightforward way and are found to be , for a 3 - fold or a 6 - fold axis , d223 , d123 = -d213 , d311 d113 = d133 = d233 = d312 = d313 = d323 = - d322 , 0 . We have thus found the conditions on the moduli for ...
Page 123
... moduli moduli numerically equal , but opposite in sign a modulus equal to minus 2 times the heavy dot modulus to which it is joined . Centrosymmetrical classes All moduli vanish Non - centrosymmetrical classes TRICLINIC Class 1 2 || xa ...
... moduli moduli numerically equal , but opposite in sign a modulus equal to minus 2 times the heavy dot modulus to which it is joined . Centrosymmetrical classes All moduli vanish Non - centrosymmetrical classes TRICLINIC Class 1 2 || xa ...
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