Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 17
... Principal axes . An important property of a quadric is the possession of principal axes . These are three directions at right angles such that , when the general quadric ( 26 ) is referred to them as axes , its equation takes the ...
... Principal axes . An important property of a quadric is the possession of principal axes . These are three directions at right angles such that , when the general quadric ( 26 ) is referred to them as axes , its equation takes the ...
Page 19
... axes the number of independent components is six . If the tensor is referred to its principal axes , the number of independent components is reduced to three ; the number of ' degrees of freedom ' is nevertheless still six , for three ...
... axes the number of independent components is six . If the tensor is referred to its principal axes , the number of independent components is reduced to three ; the number of ' degrees of freedom ' is nevertheless still six , for three ...
Page 46
... axis for the lesser principal component out to the right . Label the axes in whatever way is convenient for the problem and then label the diagram in Fig . 2.4 b , c or d to correspond . EXERCISE 2.2 . Show from the Mohr circle ...
... axis for the lesser principal component out to the right . Label the axes in whatever way is convenient for the problem and then label the diagram in Fig . 2.4 b , c or d to correspond . EXERCISE 2.2 . Show from the Mohr circle ...
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