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 8
... gives an estimate of the conductivity in terms of quantities that are all known except for the relaxation time 7. We may therefore use ( 1.6 ) and the observed resistivities to estimate the size of the relaxation time : T = m pne2 ( 1.7 ) ...
... gives an estimate of the conductivity in terms of quantities that are all known except for the relaxation time 7. We may therefore use ( 1.6 ) and the observed resistivities to estimate the size of the relaxation time : T = m pne2 ( 1.7 ) ...
Page 247
... gives the probability of an electron colliding between t ' and t ' + dt ' . Thus - dt ' T ( t ' ) P ( t , t ' ) = P ( t , t ' + dt ' ) 1 dr [ 1 - dr ] In the limit as dt ' → 0 , this gives the differential equation ( 13.12 ) a P ( t ...
... gives the probability of an electron colliding between t ' and t ' + dt ' . Thus - dt ' T ( t ' ) P ( t , t ' ) = P ( t , t ' + dt ' ) 1 dr [ 1 - dr ] In the limit as dt ' → 0 , this gives the differential equation ( 13.12 ) a P ( t ...
Page 678
... gives a 50 percent probability of both electrons being together on the same ion . The in- dependent electron triplet state ( 32.13 ) does not suffer from this defect . Consequently , when we introduce electron - electron interactions ...
... gives a 50 percent probability of both electrons being together on the same ion . The in- dependent electron triplet state ( 32.13 ) does not suffer from this defect . Consequently , when we introduce electron - electron interactions ...
Contents
The Drude Theory of Metals | 1 |
The Sommerfeld Theory of Metals | 29 |
Failures of the Free Electron Model | 57 |
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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