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 449
... Normal Modes of a Monatomic Bravais Lattice ( a ) Show that if k lies along a 3- , 4- , or 6 - fold axis , then one normal mode is polarized along k , and the other two are degenerate and polarized perpendicular to k . ( b ) Show that ...
... Normal Modes of a Monatomic Bravais Lattice ( a ) Show that if k lies along a 3- , 4- , or 6 - fold axis , then one normal mode is polarized along k , and the other two are degenerate and polarized perpendicular to k . ( b ) Show that ...
Page 452
... normal mode , is restricted to the values 0 , 1 , 2 , .... A state of the entire crystal is specified by giving the excitation numbers for each of the 3N normal modes . The total energy is just the sum of the energies of the individual ...
... normal mode , is restricted to the values 0 , 1 , 2 , .... A state of the entire crystal is specified by giving the excitation numbers for each of the 3N normal modes . The total energy is just the sum of the energies of the individual ...
Page 493
... normal - mode k , s to the specific heat . Next , define a quantity known as the Grüneisen parameter for the mode ks ... modes . Under these circumstances , ( 25.15 ) reduces directly to ( 25.20 ) without need for the intervening definitions ...
... normal - mode k , s to the specific heat . Next , define a quantity known as the Grüneisen parameter for the mode ks ... modes . Under these circumstances , ( 25.15 ) reduces directly to ( 25.20 ) without need for the intervening definitions ...
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