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 Diaj = 2πδί , where 8 , is the Kronecker delta symbol : dij = 0 , Sij 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 Diaj = 2πδί , where 8 , is the Kronecker delta symbol : dij = 0 , Sij 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 er has the value unity ...
... 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 er has the value unity ...
Contents
The Drude Theory of Metals | 1 |
Failures of the Free Electron Model | 57 |
Crystal Lattices | 63 |
Copyright | |
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alkali atomic band structure Bloch Bragg plane Bravais lattice Brillouin zone calculation carrier densities Chapter charge density coefficients collision conduction band conduction electrons contribution crystal momentum crystal structure density of levels dependence depletion layer described dielectric constant direction distribution Drude Drude model effect electric field electron gas electron-electron electronic levels electrostatic energy gap 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 positive 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 valence band vanishes velocity wave functions wave vector zero