Solid State PhysicsThis book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science. |
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Page 449
... Normal Modes of a Monatomic Bravais Lattice ( a ) Show that if k lies along a 3- , 4- , or 6 - fold axis , then one normal mode is polarized along k , and the other two are degenerate and polarized perpendicular to k . ( b ) Show that ...
... Normal Modes of a Monatomic Bravais Lattice ( a ) Show that if k lies along a 3- , 4- , or 6 - fold axis , then one normal mode is polarized along k , and the other two are degenerate and polarized perpendicular to k . ( b ) Show that ...
Page 464
... normal modes per unit volume , 17 g ( w ) , defined so that g ( w ) do is the total number of modes with frequencies in the infinitesimal range between @ and w + do , divided by the total volume of the crystal . In terms of g , the sum ...
... normal modes per unit volume , 17 g ( w ) , defined so that g ( w ) do is the total number of modes with frequencies in the infinitesimal range between @ and w + do , divided by the total volume of the crystal . In terms of g , the sum ...
Page 468
... normal modes varies as @ d - 1 . ( c ) Deduce from this that the low - temperature specific heat of a harmonic crystal vanishes as Td in d dimensions . ( d ) Show that if it should happen that the normal mode frequencies did not vanish ...
... normal modes varies as @ d - 1 . ( c ) Deduce from this that the low - temperature specific heat of a harmonic crystal vanishes as Td in d dimensions . ( d ) Show that if it should happen that the normal mode frequencies did not vanish ...
Contents
The Drude Theory of Metals | 1 |
Failures of the Free Electron Model | 57 |
Crystal Lattices | 63 |
Copyright | |
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alkali atomic band structure Bloch Bragg plane Bravais lattice Brillouin zone calculation carrier densities Chapter charge density coefficients collision conduction band conduction electrons contribution crystal momentum crystal structure density of levels dependence depletion layer described dielectric constant direction distribution Drude Drude model effect electric field electron gas electron-electron electronic levels electrostatic energy gap example Fermi energy Fermi surface Figure free electron frequency given Hamiltonian hexagonal holes impurity independent electron approximation insulators interaction ionic crystals k-space lattice planes lattice point linear low temperatures macroscopic magnetic field metals neutron normal modes number of electrons one-electron levels orbits periodic potential perpendicular phonon Phys positive primitive cell primitive vectors Problem properties quantum reciprocal lattice vector region result scattering Schrödinger equation semiclassical semiconductors simple cubic solid solution specific heat spin superconducting symmetry term theory valence band vanishes velocity wave functions wave vector zero