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We have used a first-principles molecular-dynamics technique to find the relaxed atomic geometries and the corresponding electronic structures of three of the simplest novel forms of three-coordinated solid carbon. We compare the energies of these structures to those of graphite and of the icosahedral fullerene C₆₀. All of these forms of carbon contain only one kind of carbon atom. One of these, which we name polybenzene, is found to have a substantially lower energy per atom (0. 23 eV) than C₆₀, yet contains only 24 atoms per unit cell.
O’Keeffe et al. (Mon,) studied this question.