Results and discussion
Five significant kind of introductory structure of neutral Ge12 cluster with high symmetry point are appeared in figure 1. To decide the most minimal energy structure of unadulterated Ge12 cluster, we chose 5 separate high symmetry geometries: the D6h-symmetric hexagonal crystal (HP), the D6d-symmetric hexagonal anti-prism (HAP), D2d-symmetric bi-capped pentagonal prism (BPP), immaculate icosahedrons (Ih) and Fullerene type structures. We improved these underlying geometries at B3LYP/LANL2DZ ECP level of theory.