JOURNAL ARTICLE

The Shape of the Sc<sub>2</sub>(μ<sub>2</sub>-S) Unit Trapped in C<sub>82</sub>: Crystallographic, Computational, and Electrochemical Studies of the Isomers, Sc<sub>2</sub>(μ<sub>2</sub>-S)@<i>C</i><sub><i>s</i></sub>(6)-C<sub>82</sub> and Sc<sub>2</sub>(μ<sub>2</sub>-S)@<i>C</i><sub>3<i>v</i></sub>(8)-C<sub>82</sub>

Abstract

Single-crystal X-ray diffraction studies of Sc<sub>2</sub>(μ<sub>2</sub>-S)@<i>C</i><sub><i>s</i></sub>(6)-C<sub>82</sub>·Ni<sup>II</sup>(OEP)·2C<sub>6</sub>H<sub>6</sub> and Sc<sub>2</sub>(μ<sub>2</sub>-S)@<i>C</i><sub>3<i>v</i></sub>(8)-C<sub>82</sub>·Ni<sup>II</sup>(OEP)·2C<sub>6</sub>H<sub>6</sub> reveal that both contain fully ordered fullerene cages. The crystallographic data for Sc<sub>2</sub>(μ<sub>2</sub>-S)@<i>C</i><sub><i>s</i></sub>(6)-C<sub>82</sub>·Ni<sup>II</sup>(OEP)·2C<sub>6</sub>H<sub>6</sub> show two remarkable features: the presence of two slightly different cage sites and a fully ordered molecule Sc<sub>2</sub>(μ<sub>2</sub>-S)@<i>C</i><sub><i>s</i></sub>(6)-C<sub>82</sub> in one of these sites. The Sc−S−Sc angles in Sc<sub>2</sub>(μ<sub>2</sub>-S)@<i>C</i><sub><i>s</i></sub>(6)-C<sub>82</sub> (113.84(3)°) and Sc<sub>2</sub>(μ<sub>2</sub>-S)@<i>C</i><sub>3<i>v</i></sub>(8)-C<sub>82</sub> differ (97.34(13)°). This is the first case where the nature and structure of the fullerene cage isomer exerts a demonstrable effect on the geometry of the cluster contained within. Computational studies have shown that, among the nine isomers that follow the isolated pentagon rule for C<sub>82</sub>, the cage stability changes markedly between 0 and 250 K, but the <i>C</i><sub><i>s</i></sub>(6)-C<sub>82</sub> cage is preferred at temperatures ≥250 °C when using the energies obtained with the free encapsulated model (FEM). However, the <i>C</i><sub>3<i>v</i></sub>(8)-C<sub>82</sub> cage is preferred at temperatures ≥250 °C using the energies obtained by rigid rotor−harmonic oscillator (RRHO) approximation. These results corroborate the fact that both cages are observed and likely to trap the Sc<sub>2</sub>(μ<sub>2</sub>-S) cluster, whereas earlier FEM and RRHO calculations predicted only the <i>C</i><sub><i>s</i></sub>(6)-C<sub>82</sub> cage is likely to trap the Sc<sub>2</sub>(μ<sub>2</sub>-O) cluster. We also compare the recently published electrochemistry of the sulfide-containing Sc<sub>2</sub>(μ<sub>2</sub>-S)@<i>C</i><sub><i>s</i></sub>(6)-C<sub>82</sub> to that of corresponding oxide-containing Sc<sub>2</sub>(μ<sub>2</sub>-O)@<i>C</i><sub><i>s</i></sub>(6)-C<sub>82</sub>.

Keywords:
Fullerene Cage Molecule Electrochemistry Cluster (spacecraft) Diffraction Stability (learning theory) Molecular dynamics

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