Structural and electronic properties of Danzer's model of a three-dimensional quasicrystal

By using deflation rules, the coordinates of the atoms in Danzer's model of a 3d quasicrystal are computed. The resulting atomic positions in a cut through the model well agree with experimental findings. Furthermore, for Danzer's model the static structure factor, the pair correlation function, and properties of a tight binding electron model are studied. The electron density of states shows a characteristic peak at energyE=O, which may be associated to confined states.