 
Electron energy bands
Reading
Kittel chapter 9: Energy bands or R. Gross und A. Marx: Energiebänder
For the exam you should:
 be able to draw the approximate E vs. k dispersion relation for an electron moving in a onedimensional 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 kvectors in the first Brillouin zone where N is the number of unit cells in the crystal. There two electron states in every band for kvector.
 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.
Resources
Periodic table of electronic bandstructures
NSM semiconductor database
