GROUPING MODEL IN FERMI SURFACE APPLIED TO QUASICRYSTALS

Abstract

Studies performed on energy levels in Fermi surface in groupings showed that crystals have plans periodically gathered. On the contrary, quasicrystals have their plans reunited non periodically. This paper shows the development of a mathematical model comprising not only the symmetries of AlMnPd alloys but also the physical stability of groupings versus AlCoNi geometry by considering Fermi energy in its surface. The model also discusses electron conductivity, quantum interfaces in quasicrystals, its physical formation and chemical properties. The model allows a better understanding of interactions between atoms in the quasicrystals formation, functioning of energy bonds and of gaps and pseudogaps in the electronic structures of quasicrystalline materials.