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The existence of magic numbers for atomic microclusters has been found experimentally for the first time. The magic numbers n^* manifest themselves in the mass spectra of free xenon clusters, nucleated in the gas phase. The observed numbers n^*=13, 55, and 147 coincide with the numbers of spheres required for complete-shell icosahedra. The appearance of further magic numbers (19, 25, 71, and 87) is only partially explained by previous calculations.
Echt et al. (Mon,) studied this question.