Abstract: For infinite lattice systems, we choose one atom as a reference point. Then one can remove a small cluster which contains the atom such that every atom in the cluster is part of at least one ring passing through the reference atom. A Bethe lattice is now introduced and connected to surface atom to simulate the effect of the rest of original system. Based on cluster-Bethe lattice model, we have calculated the energy of stabilization of SC, BCC and FCC and showed that BCC lattice is the stablest one at half-filled band so that it is indicated why simple substance crystals of column IA and VIB in periodic table are BCC structures.

Key words: Cluster-Bethe-lattice, Local density of state, Stabilization