Physical Properties of Crystals: Their Representation by Tensors and Matrices |
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Page ix
... Thermodynamics of thermoelastic behaviour 170 173 178 183 191 3. Thermodynamics of thermal , electrical and elastic properties 4. Relations between coefficients measured under different conditions Summary PART 3. TRANSPORT PROPERTIES XI ...
... Thermodynamics of thermoelastic behaviour 170 173 178 183 191 3. Thermodynamics of thermal , electrical and elastic properties 4. Relations between coefficients measured under different conditions Summary PART 3. TRANSPORT PROPERTIES XI ...
Page 175
... thermodynamics that , if a small amount of heat dQ flows into the crystal and a small amount of work dW is done on the crystal by external forces , the increase in the internal energy dU is a perfect differential and is given by dU = dW ...
... thermodynamics that , if a small amount of heat dQ flows into the crystal and a small amount of work dW is done on the crystal by external forces , the increase in the internal energy dU is a perfect differential and is given by dU = dW ...
Page 181
... thermodynamics we have dU = ode + EdD + TdS . We define a function , Φ = U - σe - ED - TS . Then , by differentiating and using ( 40 ) , dedo - DdE - SdT . Since is a function of state it follows that ӘФ до ӘФ аф = -E , = -D , = - S ...
... thermodynamics we have dU = ode + EdD + TdS . We define a function , Φ = U - σe - ED - TS . Then , by differentiating and using ( 40 ) , dedo - DdE - SdT . Since is a function of state it follows that ӘФ до ӘФ аф = -E , = -D , = - S ...
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