Abstract
By combining positron-annihilation experiments and first-principles calculations, abundant planar ${V}_{6}$ rings are identified in heavily neutron-irradiated graphite. The calculations show that the ${V}_{6}$ ring is particularly stable. Annealing experiments exhibit that the ${V}_{6}$ ring survives up to $1500\ifmmode^\circ\else\textdegree\fi{}\mathrm{C}$. These results suggest vacancies aggregating with the magic number in graphite.
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