Physical Properties of Crystals |
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Page 77
... follows that [ x1 ; ] , and hence [ K¡¡ ] and [ Xij ] , are all symmetrical tensors . Integrating the expression for dy and putting the arbitrary constant zero , we find for the energy of a polarized crystal , Y = JUK¡¡ E¡ Ej . i ( 12 ) ...
... follows that [ x1 ; ] , and hence [ K¡¡ ] and [ Xij ] , are all symmetrical tensors . Integrating the expression for dy and putting the arbitrary constant zero , we find for the energy of a polarized crystal , Y = JUK¡¡ E¡ Ej . i ( 12 ) ...
Page 178
... follows . Eliminate dT between equations ( 9 ) and ( 10 ) and put dS = 0 . Then we have = dejj = dei dok όσκι τ as dokl T ( S constant ) . σ Dividing by dok and using relation ( 18 ) we obtain Jeij док deij докт = ( de ij ат ( 25 ) σ ...
... follows . Eliminate dT between equations ( 9 ) and ( 10 ) and put dS = 0 . Then we have = dejj = dei dok όσκι τ as dokl T ( S constant ) . σ Dividing by dok and using relation ( 18 ) we obtain Jeij док deij докт = ( de ij ат ( 25 ) σ ...
Page 245
... follows . A field E produces a piezoelectric strain , e = dE . This pro- duces in turn a change in B given by AB ... follows that the crystal under the ex- ternal influence will also possess this symmetry element . If , on the other hand ...
... follows . A field E produces a piezoelectric strain , e = dE . This pro- duces in turn a change in B given by AB ... follows that the crystal under the ex- ternal influence will also possess this symmetry element . If , on the other hand ...
Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 11 |
EQUILIBRIUM PROPERTIES | 45 |
PARAMAGNETIC AND DIAMAGNETIC SUSCEPTIBILITY | 53 |
20 other sections not shown
Common terms and phrases
angle anisotropic applied biaxial birefringence centre of symmetry Chapter coefficients components conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals D₁ defined deformation denoted diad axis dielectric dijk displacement electric field ellipsoid equal equation example expression follows forces given grad H₁ 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 pyroelectric effect quadric radius vector referred refractive index relation representation quadric represents right-handed rotation S₁ scalar second-rank tensor shear shown strain stress suffixes symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law triclinic trigonal uniaxial values wave normal wave surface x₁ Young's Modulus zero ат