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 50
... volume element is ( see ( 2.18 ) ) V dk . ( 2.86 ) The probability of each level being occupied is just ƒ ( Ɛ ( k ) ) , and therefore the total number of electrons in the k - space volume element is V 4π3 f ( & ( k ) ) dk , & ( k ) ...
... volume element is ( see ( 2.18 ) ) V dk . ( 2.86 ) The probability of each level being occupied is just ƒ ( Ɛ ( k ) ) , and therefore the total number of electrons in the k - space volume element is V 4π3 f ( & ( k ) ) dk , & ( k ) ...
Page 317
... volume with wave vectors in the infinitesimal volume element dk about k that suffer a collision in the infinitesimal time interval dt is dg ( k ) dk dt ( 2π ) 3 dt . out ( 16.3 ) Since dk is infinitesimal , the effect of any collision ...
... volume with wave vectors in the infinitesimal volume element dk about k that suffer a collision in the infinitesimal time interval dt is dg ( k ) dk dt ( 2π ) 3 dt . out ( 16.3 ) Since dk is infinitesimal , the effect of any collision ...
Page 318
... volume that have arrived in the volume element dk about k , as the result of a collision in the infinitesimal time interval dt . To evaluate ( dg ( k ) / dt ) n , consider the contribution from those electrons that , just prior to the ...
... volume that have arrived in the volume element dk about k , as the result of a collision in the infinitesimal time interval dt . To evaluate ( dg ( k ) / dt ) n , consider the contribution from those electrons that , just prior to the ...
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