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 339
... dielectrics , where , however , the fields are generally uniform so that the dependence on wave vector does not come into play . The quantity that turns out to be the most natural to calculate directly is not the dielectric constant ...
... dielectrics , where , however , the fields are generally uniform so that the dependence on wave vector does not come into play . The quantity that turns out to be the most natural to calculate directly is not the dielectric constant ...
Page 343
... function for a free electron with energy h2k2 / 2m : fx 1 / { exp [ ẞ ( h2k2 ... dielectric constant . At T = 0 the integrals in ( 17.56 ) can be performed ... dielectric constant e 1 - 4πx / q2 is not analytic . As a result it can be ...
... function for a free electron with energy h2k2 / 2m : fx 1 / { exp [ ẞ ( h2k2 ... dielectric constant . At T = 0 the integrals in ( 17.56 ) can be performed ... dielectric constant e 1 - 4πx / q2 is not analytic . As a result it can be ...
Page 344
... dielectric constant will depend on frequency as well as on wave vector . In the limiting case , where collisions can be ignored , the Lindhard argument can be straightforwardly generalized by using time - dependent rather than ...
... dielectric constant will depend on frequency as well as on wave vector . In the limiting case , where collisions can be ignored , the Lindhard argument can be straightforwardly generalized by using time - dependent rather than ...
Contents
The Drude Theory of Metals | 1 |
Failures of the Free Electron Model | 57 |
Crystal Lattices | 63 |
Copyright | |
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alkali atomic band structure Bloch Bragg plane Bravais lattice Brillouin zone calculation carrier densities Chapter charge density coefficients collision conduction band conduction electrons contribution crystal momentum crystal structure density of levels dependence depletion layer described dielectric constant direction distribution Drude Drude model effect electric field electron gas electron-electron electronic levels electrostatic energy gap 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 positive 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 valence band vanishes velocity wave functions wave vector zero