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**Reading**

Kittel chapter 9: Energy bands or R. Gross und A. Marx: Energiebänder

- be able to draw the approximate
*E*vs.*k*dispersion relation for an electron moving in a one-dimensional potential. - know the Bloch theorem.
- know the empty lattice approximation. Given the first Brillouin zone of a crystal, you should be able to draw the dispersion relation in a few high symmetry directions using the empty lattice approximation.
- know that there are
*N*allowed*k*-vectors in the first Brillouin zone where*N*is the number of unit cells in the crystal. There two electron states in every band for*k*-vector. - be able to explain the plane wave method and the tight binding model for calculating bandstructure.
- know how to construct the electron density of states from a dispersion relation.
- be able to explain what the difference is between a metal, a semiconductor, and an insulator.

- Kronig Penney Model - Christoph Heil, 2008
- Bloch Theorem - Sebastian Nau und Thomas Gruber, 2008
- Nearly Free Electron Model - Andreas Katzensteiner und Roland Schmied, 2008
- Plane wave method for fcc crystals: Daniel Möslinger, 2014 Description (pdf), Matlab files

**Resources**

Periodic table of electronic bandstructures
NSM semiconductor database

Paul Falstad's 1-D Crystal Applet