Lower energy icosahedral atomic clusters with incomplete core

We propose structures for clusters of 69, 78, 88, 98, 107, 113, and 115 atoms that, although icosahedral in character, do not follow the so-called magic numbers sequence. More important, these structures yield lower Lennard-Jones potential energy than the minimum reported in the literature. Our findings arose by linking a very simple heuristic with a local search algorithm.