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 42
... number of electrons in the one - electron level20 i . Since the total number of electrons N is just the sum over all levels of the mean number in each level , n = N = = Σfi = { Στ 1 eεi - μ ) / kBT +1 ( 2.49 ) which determines N as a ...
... number of electrons in the one - electron level20 i . Since the total number of electrons N is just the sum over all levels of the mean number in each level , n = N = = Σfi = { Στ 1 eεi - μ ) / kBT +1 ( 2.49 ) which determines N as a ...
Page 50
... number of electrons in the k - space volume element is V 4π3 f ( & ( k ) ) dk , & ( k ) = h2k2 2m ( 2.87 ) Since the velocity of a free electron with wave vector k is v = hk / m ( Eq . ( 2.12 ) ) , the number of electrons in an element ...
... number of electrons in the k - space volume element is V 4π3 f ( & ( k ) ) dk , & ( k ) = h2k2 2m ( 2.87 ) Since the velocity of a free electron with wave vector k is v = hk / m ( Eq . ( 2.12 ) ) , the number of electrons in an element ...
Page 317
... quantity ( dg ( k ) / dt ) out so that the number of electrons per unit 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 ...
... quantity ( dg ( k ) / dt ) out so that the number of electrons per unit 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 ...
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