Open-shell spherical aromaticity: The 2N2 + 2N + 1 (with S = N + 1/2) rule

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4N Baird's rule represented the extension of Hückel's 4N + 2 rule to triplet state systems. In this work we extend the 2(N + 1)2 Hirsch rule for spherical aromatic species to open-shell spherical compounds and we provide evidence that those spherical species having a same-spin half-filled last energy level with the rest of the levels being fully-filled, i.e., those having 2N2 + 2N + 1 electrons and S = N +1/2 , are aromatic ​
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