Spatial structure and electron energy spectrum of HfGe n - (n=6-20) clusters

This paper presents spatial structure optimization results and calculated electronic spectra for HfGe (n) (-) (n = 6-20) anion clusters. Comparison of the calculation results and available experimental data makes it possible to identify the most likely spatial structures of clusters detected in experiments. Cage structures of the clusters, with an encapsulated hafnium atom, are stable for n a parts per thousand yen 12. The clusters with n a parts per thousand yen 12, 14, 15, and 18 are magic in the series of germanium-hafnium anion clusters.