Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 81
... shows spontaneous polarization between these temperatures . ) A crystal in its ferroelectric state , with a ... Show that the successive changes of symmetry of barium titanate as the temperature is lowered can be explained by postulating ...
... shows spontaneous polarization between these temperatures . ) A crystal in its ferroelectric state , with a ... Show that the successive changes of symmetry of barium titanate as the temperature is lowered can be explained by postulating ...
Page 171
... shows thermal expansion , the strain produced by a change of temperature , while the other shows the piezo- caloric effect , that is , the entropy ( heat ) produced by a stress . The two horizontal lines at the bottom show that entropy ...
... shows thermal expansion , the strain produced by a change of temperature , while the other shows the piezo- caloric effect , that is , the entropy ( heat ) produced by a stress . The two horizontal lines at the bottom show that entropy ...
Page 309
... shows that this relation is satisfied . Hence c2 B'11 = v'2 . Similarly , and so our result is proved . c2 B12 = v " 2 ; B'22 The ray direction in a wave is the direction in which a bounded part of the wave front would travel ( see p ...
... shows that this relation is satisfied . Hence c2 B'11 = v'2 . Similarly , and so our result is proved . c2 B12 = v " 2 ; B'22 The ray direction in a wave is the direction in which a bounded part of the wave front would travel ( see p ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
3 | 29 |
EQUILIBRIUM PROPERTIES | 51 |
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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