Electronic properties and the role of d states in stable quasicrystals

We discuss the electronic structure of quasicrystals containing transition elements by considering the effects of the diffraction of conduction states by Bragg planes and of their coupling with localized d orbitals. We calculate the consequences of these two terms on transport properties, densities of states, magnetism and negative valency of transition atoms, and compare our predictions with ab initio calculations and experiments.