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 ) dw is the total number of modes with frequencies in the infinitesimal range between w 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 ) dw is the total number of modes with frequencies in the infinitesimal range between w 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 T in d dimensions . ( ( d ) ) Show that if it should happen that the normal mode frequencies did not ...
... normal modes varies as @ d - 1 . ( c ) Deduce from this that the low - temperature specific heat of a harmonic crystal vanishes as T in d dimensions . ( ( d ) ) Show that if it should happen that the normal mode frequencies did not ...
Contents
The Drude Theory of Metals | 1 |
The Sommerfeld Theory of Metals | 29 |
Failures of the Free Electron Model | 57 |
Copyright | |
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alkali atomic band structure Bloch Bragg plane Bravais lattice Brillouin zone calculation carrier densities Chapter coefficients collisions conduction band conduction electrons contribution crystal momentum crystal structure density of levels dependence depletion layer described dielectric constant distribution Drude Drude model effect electric field electron gas electron-electron electronic levels electrostatic energy gap equilibrium 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 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 thermal valence band vanishes velocity wave functions wave vector zero