Size matching and electrostatic potential as complementary methods for understanding the metallic cluster configurations inside fullerenes

Abstract

The size matching between internal cluster and outer cage is widely used to explain the former’s configuration in endohedral clusterfullerenes (ECFs). For example, the trimetallic nitride (M3N) clusters within smaller fullerenes are expected to become more relaxed in larger ones due to the alleviative cage confinement. However, recent single-crystal X-ray diffraction (SCXRD) experiments reveal that, although being planar in C80, the Sc3N cluster exhibits an abnormal pyramidal shape in Cs(51365)-C84 and D3(19)-C86. Such a phenomenon is explained by the “spider effect” occurred when a small cluster meets a large cage. Herein, to further solve this puzzle and deeply understand the internal cluster configurations of ECFs, density functional theory calculations were conducted for all nine SCXRD characterized Sc3N@C2n (2n = 68, 70, 78-86) nitride clusterfullerenes. After well reproducing their structural characteristics, we found that all their cluster configurations can be rationalized by the electrostatic potentials (ESPs) inside corresponding C2n6- anionic empty cages. These cage anions exhibit rather different ESPs distributions, and the intramolecular host-guest electrostatic interactions drive the three Sc3+ cations approach to the more negative region, whereas the central N3- anion to the less negative one, thus resulting in the planar or slightly pyramidal shape of the whole (Sc3N)6+ unit. Moreover, besides these nitride ECFs, ESPs can explain the internal cluster configurations of other types of ECFs as well. Different from the conventional viewpoint which only focuses on the cluster and cage sizes, our work uncovers the overlooked role of ESPs in affecting the cluster configurations besides the most important metal-cage interactions. Based on this finding, we further demonstrated that one could easily regulate the internal cluster shape by changing the ESPs.