Abstarct: In this study,the ground state and excited state energies of Aluminum isotopes 31 to 34 which are located on the island of inversion boundary, have been investigated using the effective two- body interaction of different nucleon-nucleon.Then,with the obtained wave function,the values of magnetic moments are also determined.The results show that for isotopes 31 and 32,34, the normal 0p0h configuration share in their baxse state, most of the valence nucleons are in the space of the sd model.While the 2p2h configuration in the 33 isotope baxse state wave function is approximately five percent.The difference between the experimental and theoretical results for the interactions obtained according to the fitting method is less than the normalized matrix G method.