Ring Structures of Metal Atom Doped C 9 , C 11 , and C 13 Clusters from Ab Initio Calculations-The Finding of a Gd@C 13 Magnetic Superatom Ring.

Pure C 9 clusters have a linear chain structure. However, here, we report using ab initio calculations the transformation of a chain into a cyclic ring structure with the capping of Ca, Sr, and Ba atoms. Further calculations on neutral and charged clusters doped with Sc, Y, and La atoms show stabilization of a cation C 9 isoelectronic cyclic ring capped with the metal (M) atom, but anion clusters doped with these trivalent atoms form a C 10 like MC 9 ring, which deforms to a necklace structure. Both the ring structures correspond to electronic shell closing with 20 delocalized valence electrons in a disk jellium model and have a large highest occupied molecular orbital-lowest unoccupied molecular orbital (HOMO-LUMO) gap. Calculations of IR and Raman spectra show no imaginary frequency, suggesting that the structures are stable. Addition of two C atoms to the ring structure of LaC 9 leads to a capped ring structure of the cation LaC 11 and an open ring structure of the LaC 11 anion. Further addition of two C atoms leads to a La@C 13 cation as well as Ca@C 13 and Sr@C 13 neutral wheel-shaped rings with endohedral doping of the M atom. These novel ring structures have a large HOMO-LUMO gap of more than 4 eV and are magic with electronic shell closing corresponding to 28 delocalized valence electrons in a disk jellium model. There is π aromaticity in this ring satisfying 4 n +2 ( n = 3) Hückel's rule with 14 valence electrons. Interestingly, when the dopant is a Gd atom, there is a formation of a magnetic superatom ring Gd@C 13 + with 7 μ B magnetic moments due to seven 4 f up-spin states of Gd being fully occupied. Bonding in these novel ring structures is discussed.