Abstract
A unified explanation of magic numbers in small clusters of rare-gas and alkali atoms is presented. Our magic equilibrium geometries are based on the softness of spheres standing for atoms. Atoms presented by soft spheres exhibit magic numbers at n 1=1, 13, 55, 147, 309, 561,…, while those presented by hard spheres at n 2=2, 8, 20, 40, 58, 90,….
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