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Journals and Conferences
A general geometrical construction for fullerenes of threefold dihedral symmetry is reported and used to Ðnd those 3 , 3h , 3d examples of this symmetry that are without face spirals. The smallest, a 384-atom cage, has its twelve pentagons arranged in 3 three separate crosses of four fully fused rings and has four atoms more than the smallest known… (More)
It is shown that the non-bonding orbitals of many graphite-derived carbon frameworks can be understood in terms of the four non-bonding orbitals of the graphite sheet. Several inÐnite series of fullerenes with non-bonding orbitals are identiÐed, and the frontier orbitals of icosahedral fullerenes rationalised, by considering fullerenes as cut and folded… (More)
We introduce a novel separability criterion for bipartite systems that consist of prime dimensional Hilbert spaces. We derive a strict Landau-Pollak uncertainty relation for observables related with MUB, which allows us to obtain the separability criterion. For the isotropic states, our criterion distinguishes the entangled states correctly.