# Three Dimensional Brillouin Zones

| While the construction of Brillouin zones is simple, the results are not.
|  | Constructing Brillouin zones is a good example for the evolution of complex systems from the repeated application of simple rules to simple starting conditions - any 12-year old can do it in two dimensions.
|  | Below the results for the first, second and third Brillouin zone (taken from the "Ashcroft/Mermin" and originating from the 1965 thesis of R. Lück (no computer graphics then!))
|  | These pictures can be found in many text books, which shows that (in physics) you need not improve upon a good thing.

With frame

2.1.2 Diffraction of Electron Waves

© H. Föll (Semiconductors - Script)