Solid State PhysicsThis book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science. |
From inside the book
Results 1-3 of 79
Page 50
... volume element is ( see ( 2.18 ) ) V dk . 4π3 ( 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 , ε ( k ) ...
... volume element is ( see ( 2.18 ) ) V dk . 4π3 ( 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 , ε ( 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 ) dt dk out dt . ( 2π ) 3 ( 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 ) dt dk out dt . ( 2π ) 3 ( 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 ) in , 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 ) in , 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 | |
48 other sections not shown
Other editions - View all
Common terms and phrases
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