“…Therefore, the understanding of magnetic moment requires to analyze carefully the local DOS. In the Al-Mn alloys, because of the strong sp-d hybridization [5,6,7,8], the local DOS depends widely on the atomic structure: the local environment (number and chemical nature of the neighbors, local symmetry) must be important, but it depends also on the medium range order because the sp states are delocalized. This last effect is the most important for Mn atoms as respect with other TM atoms (Cr, Fe, Co, Ni), because the d band of Mn is half filled.…”