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 86
... lattice determined by the underlying Bravais lattice , rather than a set of K satisfying ( 5.2 ) for vectors R describing both the Bravais lattice and the basis points . To verify that ( 5.3 ) gives a set of 86 Chapter 5 The Reciprocal ...
... lattice determined by the underlying Bravais lattice , rather than a set of K satisfying ( 5.2 ) for vectors R describing both the Bravais lattice and the basis points . To verify that ( 5.3 ) gives a set of 86 Chapter 5 The Reciprocal ...
Page 87
... reciprocal lattice , one first notes that the b , satisfy2 b ; · a aj = 2πδι , where d1 ; is the Kronecker delta symbol : Sij Sij = 0 , i + j ; = 1 , i = j . Now any vector ... lattice , with cubic The Reciprocal of the Reciprocal Lattice 87.
... reciprocal lattice , one first notes that the b , satisfy2 b ; · a aj = 2πδι , where d1 ; is the Kronecker delta symbol : Sij Sij = 0 , i + j ; = 1 , i = j . Now any vector ... lattice , with cubic The Reciprocal of the Reciprocal Lattice 87.
Page 91
... lattice points . = To prove the converse of the theorem , given a reciprocal lattice vector , let K be the shortest parallel reciprocal lattice vector . Consider the set of real space planes on which the plane wave ek has the value ...
... lattice points . = To prove the converse of the theorem , given a reciprocal lattice vector , let K be the shortest parallel reciprocal lattice vector . Consider the set of real space planes on which the plane wave ek has the value ...
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