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
... problem of an electron in a potential U ( r ) with the periodicity of the underlying Bravais lattice ; i.e. , for all Bravais lattice vectors R. U ( r + R ) = U ( r ) ( 8.1 ) Since the scale of periodicity of the potential U ( ~ 10-8 cm ) ...
... problem of an electron in a potential U ( r ) with the periodicity of the underlying Bravais lattice ; i.e. , for all Bravais lattice vectors R. U ( r + R ) = U ( r ) ( 8.1 ) Since the scale of periodicity of the potential U ( ~ 10-8 cm ) ...
Page 140
... problem restricted to a single primitive cell of the crystal . Because the eigenvalue problem is set in a fixed finite volume , we expect on general grounds to find an infinite family of solutions with discretely spaced eigenvalues , 16 ...
... problem restricted to a single primitive cell of the crystal . Because the eigenvalue problem is set in a fixed finite volume , we expect on general grounds to find an infinite family of solutions with discretely spaced eigenvalues , 16 ...
Page 369
... problem of how such Bloch functions with complex wave vectors can be matched onto exponentially decaying levels in empty space . Features of such solutions in the nearly free electron approximation are explored in Problem 2 . PROBLEMS 1 ...
... problem of how such Bloch functions with complex wave vectors can be matched onto exponentially decaying levels in empty space . Features of such solutions in the nearly free electron approximation are explored in Problem 2 . PROBLEMS 1 ...
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