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Authors: MAHBOUBEH SAHELI, RALUCA O. POP, MONICA L. POP, MIRCEA V. DIUDEA.
Design of a hypothetical crystal network, by using Trs(P4(M)) sequence of map operations, is presented. It is shown that the octahedral monomer is the most stable, among the similar structures designed from the Platonic solids, as hydrogenated species, and all these have a moderate stability, between adamantane and C60 fullerene, as calculated at the PM3 level of theory. The topology of the network is described in terms of Omega polynomial, function of the net parameters. Close formulas for this polynomial and examples are tabulated.
Keywords: Omega polynomial; crystal-like network.
