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 30
... distribution ( 2.1 ) with the Fermi - Dirac distribution : ( m / h ) 3 f ( v ) = .3 1 4л3 exp [ mv2 - kgTo ) / kgT ] + 1 ( 2.2 ) Here ħ is Planck's constant divided by 2π , and To is a temperature that is determined by the normalization ...
... distribution ( 2.1 ) with the Fermi - Dirac distribution : ( m / h ) 3 f ( v ) = .3 1 4л3 exp [ mv2 - kgTo ) / kgT ] + 1 ( 2.2 ) Here ħ is Planck's constant divided by 2π , and To is a temperature that is determined by the normalization ...
Page 245
... distribution appropriate to a local temperature1 T ( r ) , 1 9 „ ( r , k , t ) = g ( r , k ) = e ( Ɛn ( k ) — μ ( r ) ) / kBT ( r ) + 1 ' then collisions will not alter the form of the distribution function . ( 13.2 ) Assumption 1 ...
... distribution appropriate to a local temperature1 T ( r ) , 1 9 „ ( r , k , t ) = g ( r , k ) = e ( Ɛn ( k ) — μ ( r ) ) / kBT ( r ) + 1 ' then collisions will not alter the form of the distribution function . ( 13.2 ) Assumption 1 ...
Page 357
... distribution in cells near the surface of a finite crystal does differ from the charge distribution of cells in the interior . For one thing the positions of the surface ions will , in general , be slightly displaced from their ideal ...
... distribution in cells near the surface of a finite crystal does differ from the charge distribution of cells in the interior . For one thing the positions of the surface ions will , in general , be slightly displaced from their ideal ...
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 boundary condition Bragg plane Bravais lattice Brillouin zone calculation carrier densities Chapter coefficients collisions conduction band conduction electrons contribution crystal momentum density of levels dependence described determined Drude effect electric field electron gas electron-electron electronic levels energy gap equilibrium example Fermi energy Fermi surface Figure frequency given Hamiltonian hexagonal holes impurity independent electron approximation insulators integral interaction ionic crystals k-space k₂ lattice point linear magnetic field metals motion nearly free electron neutron normal modes Note number of electrons one-electron levels orbits periodic potential perpendicular phonon Phys plane waves primitive cell primitive vectors problem properties quantum reciprocal lattice vector region result scattering Schrödinger equation semiclassical semiclassical equations semiclassical model semiconductors simple cubic solid solution specific heat sphere spin superconducting symmetry temperature term thermal tight-binding valence valence band vanishes velocity wave functions wave vector zero