Introduction to Solid State Physics |
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Page 14
... Unit cell volume Lattice points per cell Lattice points per unit volume Nearest neighbor distance Number of nearest neighbors Second neighbor distance Number of second neighbors Simple a3 a3 a3 1 2 4 1 / a3 a 2 / a3 31 / 2a / 2 6 8 212a ...
... Unit cell volume Lattice points per cell Lattice points per unit volume Nearest neighbor distance Number of nearest neighbors Second neighbor distance Number of second neighbors Simple a3 a3 a3 1 2 4 1 / a3 a 2 / a3 31 / 2a / 2 6 8 212a ...
Page 74
... volume , measured in units 2π / L , of the sphere of radius | k | , which is ( 4π / 3 ) k3 / ( 2π / L ) 3 , whence , per unit volume of specimen , ( 5.12 ) w ( k ) = 3k2 / 2π2 , where the factor 3 arises because elastic waves of given k ...
... volume , measured in units 2π / L , of the sphere of radius | k | , which is ( 4π / 3 ) k3 / ( 2π / L ) 3 , whence , per unit volume of specimen , ( 5.12 ) w ( k ) = 3k2 / 2π2 , where the factor 3 arises because elastic waves of given k ...
Page 228
... unit volume with wave vector between k and k + dk is2 ( 12.22 ) G ( k ) dk = П 1 k2 dk . Now , from ( 12.6 ) , dW = h2 - m k dk , whence the number of states with energy between W and W + dW is ( 12.23 ) per unit volume . g ( W ) dw ...
... unit volume with wave vector between k and k + dk is2 ( 12.22 ) G ( k ) dk = П 1 k2 dk . Now , from ( 12.6 ) , dW = h2 - m k dk , whence the number of states with energy between W and W + dW is ( 12.23 ) per unit volume . g ( W ) dw ...
Contents
LATTICE ENERGY OF IONIC CRYSTALS | 29 |
ELASTIC CONSTANTS OF CRYSTALS | 43 |
LATTICE VIBRATIONS | 60 |
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absorption alkali alloy anisotropy antiferromagnetic approximately atoms axes axis Bardeen barium titanate boundary calculated charge coefficient conduction band cube Curie point Debye density diamagnetic dielectric constant diffraction diffusion dipole direction discussed dislocation displacement domains effect elastic electric field energy entropy equation equilibrium experimental F-centers factor Fermi ferroelectric ferromagnetic free electron frequency given heat capacity holes impurity interaction ionic crystals ionized ions lattice constant lattice points London low temperatures magnetic field magnetic moment metals molecules motion nearest neighbor normal observed optical orbital parallel paramagnetic particles perovskite phonons Phys physical plane polarizability polarization positive potassium potassium chloride potential Proc quantum resonance result room temperature scattering Seitz shear Shockley shown in Fig single crystal sodium chloride solids specimen spin strain stress superconducting surface susceptibility symmetry Table theory thermal tion transition unit volume vacancy valence values vector velocity wave functions x-ray zero