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 435
... dispersion relation , and are plotted in Figure 22.10 . The lower branch has the same structure as the single branch we found in the monatomic Bravais lattice : vanishes linearly in k for small k , and the curve becomes flat at the ...
... dispersion relation , and are plotted in Figure 22.10 . The lower branch has the same structure as the single branch we found in the monatomic Bravais lattice : vanishes linearly in k for small k , and the curve becomes flat at the ...
Page 448
... dispersion relation ( 22.29 ) must be generalized to ( 22.89 ) ω = 2 / Σ Km ( sin2mka ) M m > 0 ( 22.90 ) to : ( b ) Show that the long - wavelength limit of the dispersion relation , ( 22.31 ) , must be generalized provided that Σm2 Km ...
... dispersion relation ( 22.29 ) must be generalized to ( 22.89 ) ω = 2 / Σ Km ( sin2mka ) M m > 0 ( 22.90 ) to : ( b ) Show that the long - wavelength limit of the dispersion relation , ( 22.31 ) , must be generalized provided that Σm2 Km ...
Page 529
... Dispersion Relation in Metals In deriving the Bohm - Staver relation ( 26.8 ) we regarded the ions as point particles , interacting only through Coulomb forces . A more realistic model would take the ions as extended distribu- tions of ...
... Dispersion Relation in Metals In deriving the Bohm - Staver relation ( 26.8 ) we regarded the ions as point particles , interacting only through Coulomb forces . A more realistic model would take the ions as extended distribu- tions of ...
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 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