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DFT TPSSh/6-311+G(d) calculations are carried out on a series of 2D and 3D forms of B n , n=20, 22 and 24 in different charge states. For a certain size, the relative energy within a pair of two-dimensional quasi-planar (2D) and three-dimensional staggered double-ring (3D) boron cluster isomers may shift the sign as they reach a certain charge state. Specifically, electron addition tends to...