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 132
... periodic array , we are led to consider the problem of an electron in a potential U ( r ) with the periodicity of the underlying Bravais lattice ... Periodic Potential Electrons in a Weak Periodic Potential 151 Nearly free electron model.
... periodic array , we are led to consider the problem of an electron in a potential U ( r ) with the periodicity of the underlying Bravais lattice ... Periodic Potential Electrons in a Weak Periodic Potential 151 Nearly free electron model.
Page 146
... periodic potential U ( x ) ( Figure 8.4 ) . It is convenient to view the ions as residing at the minima of U , which we take to define the zero of energy . We choose to view the periodic potential as a superposition of potential ...
... periodic potential U ( x ) ( Figure 8.4 ) . It is convenient to view the ions as residing at the minima of U , which we take to define the zero of energy . We choose to view the periodic potential as a superposition of potential ...
Page 152
... periodic potential , if that potential is very weak . This approach might once have been regarded as an instructive , but academic , exercise . We now know , however , that in many cases this apparently unrealistic assumption gives ...
... periodic potential , if that potential is very weak . This approach might once have been regarded as an instructive , but academic , exercise . We now know , however , that in many cases this apparently unrealistic assumption gives ...
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