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#empty_lattice_approximation

Empty lattice approximation

Theoretical electronic band structure model in which the potential is periodic and weak

The empty lattice approximation is a theoretical electronic band structure model in which the potential is periodic and weak. One may also consider an empty irregular lattice, in which the potential is not even periodic. The empty lattice approximation describes a number of properties of energy dispersion relations of non-interacting free electrons that move through a crystal lattice. The energy of the electrons in the "empty lattice" is the same as the energy of free electrons. The model is useful because it clearly illustrates a number of the sometimes very complex features of energy dispersion relations in solids which are fundamental to all electronic band structures.

Sat 13th

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Empty lattice approximation Nearly free electron model Electronic band structure Density functional theory Quantum Monte Carlo Hartree–Fock method Particle in a one-dimensional lattice GW approximation Tight binding William Shockley

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