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 82
Page 98
... integral m . Multiplying both sides of ( 6.4 ) by 2π / 2 yields a condition on the incident and scattered wave vectors : for integral m . d . ( k − k ' ) - = 2πm , ( 6.5 ) Next , we consider not just two scatterers , but an array of ...
... integral m . Multiplying both sides of ( 6.4 ) by 2π / 2 yields a condition on the incident and scattered wave vectors : for integral m . d . ( k − k ' ) - = 2πm , ( 6.5 ) Next , we consider not just two scatterers , but an array of ...
Page 352
... integral dk V ( r ) = ekrV ( k ) ( 2π ) 3 ( 17.73 ) = ( e2 / r ) e - kor ( 17.74 ) ( 17.75 ) and evaluating that integral in spherical coordinates . ( The radial integral is best done as a contour integral . ) ( c ) Deduce from ( 17.74 ) ...
... integral dk V ( r ) = ekrV ( k ) ( 2π ) 3 ( 17.73 ) = ( e2 / r ) e - kor ( 17.74 ) ( 17.75 ) and evaluating that integral in spherical coordinates . ( The radial integral is best done as a contour integral . ) ( c ) Deduce from ( 17.74 ) ...
Page 456
... integral is over all of k - space . We evaluate the integral in spherical coor- 6 Under certain special conditions ( usually associated with an imminent change in crystal structure ) an optical branch may dip down almost to zero ...
... integral is over all of k - space . We evaluate the integral in spherical coor- 6 Under certain special conditions ( usually associated with an imminent change in crystal structure ) an optical branch may dip down almost to zero ...
Contents
The Drude Theory of Metals | 1 |
The Sommerfeld Theory of Metals | 29 |
Failures of the Free Electron Model | 57 |
Copyright | |
31 other sections not shown
Other editions - View all
Common terms and phrases
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