2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138055Analytical relationships for the surface and curvature energies of oblate and prolate semi-spheroidal atomic clusters have been obtained. By modifying the cluster shape from a spheroid to a semi-spheroid the most stable shape was changed from a sphere to a superdeformed prolate semi-spheroid (including the flat surface of the end cap). Potential energy surfaces vs. deformation and the number of atoms, N, illustrate this property independent of N.5 pages, 3 figurex, revtex4Atomic and Molecular Clusterstext