Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page 115
... written the converse effect is written P1 = dijk jk , = Ejk dijk Ei . ( 3 ) ( 19 ) The proof of this equality of the coefficients is based on thermo- dynamical reasoning and is given in Chapter X. Since jk kj it = Eki follows that dijk ...
... written the converse effect is written P1 = dijk jk , = Ejk dijk Ei . ( 3 ) ( 19 ) The proof of this equality of the coefficients is based on thermo- dynamical reasoning and is given in Chapter X. Since jk kj it = Eki follows that dijk ...
Page 154
... written = μH . ΔΡ = Ρ ; ΔΤ ΔΡ = ΡΔΤ , PAT , ( 13 ) [ Ch . IV , ( 21 ) ] ( 14 ) where AP and p are single - column matrices . Notice here that the multiplication of a matrix by a single number ( AT ) multiplies all its elements by the ...
... written = μH . ΔΡ = Ρ ; ΔΤ ΔΡ = ΡΔΤ , PAT , ( 13 ) [ Ch . IV , ( 21 ) ] ( 14 ) where AP and p are single - column matrices . Notice here that the multiplication of a matrix by a single number ( AT ) multiplies all its elements by the ...
Page 158
... written out . EXERCISE 9.4 . Refer to Exercise 2.4 ( a ) , ( b ) , ( c ) and ( d ) on p . 47 and the solution on p . 313. In each case rotate the axes of reference as noted in the solution and verify by matrix algebra that the given ...
... written out . EXERCISE 9.4 . Refer to Exercise 2.4 ( a ) , ( b ) , ( c ) and ( d ) on p . 47 and the solution on p . 313. In each case rotate the axes of reference as noted in the solution and verify by matrix algebra that the given ...
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