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 139
... BLOCH'S THEOREM 1. Bloch's theorem introduces a wave vector k , which turns out to play the same fundamental role in the general problem of motion in a periodic potential that the free electron wave vector k plays in the Sommerfeld ...
... BLOCH'S THEOREM 1. Bloch's theorem introduces a wave vector k , which turns out to play the same fundamental role in the general problem of motion in a periodic potential that the free electron wave vector k plays in the Sommerfeld ...
Page 215
... Bloch electrons move between collisions ? The semiclassical model deals entirely with the second question , but the Bloch theory also critically affects the first . Drude assumed that the electrons collided with the fixed heavy ions ...
... Bloch electrons move between collisions ? The semiclassical model deals entirely with the second question , but the Bloch theory also critically affects the first . Drude assumed that the electrons collided with the fixed heavy ions ...
Page 800
... Bloch electrons ; Density of levels ; Fermi surface Band width , d compared with s , 307 free electron , in Hartree - Fock approximation , 335 in one dimension , 148-149 in tight - binding method , 182-183 Bands , vs. atomic levels ...
... Bloch electrons ; Density of levels ; Fermi surface Band width , d compared with s , 307 free electron , in Hartree - Fock approximation , 335 in one dimension , 148-149 in tight - binding method , 182-183 Bands , vs. atomic levels ...
Contents
The Drude Theory of Metals | 1 |
The Sommerfeld Theory of Metals | 29 |
Failures of the Free Electron Model | 57 |
Copyright | |
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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