Calculated relative yields for Sc₂S@C₈₂ and Y₂S@C₈₂

The paper reports computations for a newly observed class of the mixed, sulfur-containing X₂S@C₈₂ metallofullerenes, namely for X = Sc and Y, based on encapsulation into the C_s and C_3v C₈₂ isolated pentagon rule cages. Their structural, vibrational, and energetic characteristics from the density-functional-theory calculations with the standard 6-31G* and LanL2DZ basis sets are used for the evaluations of the relative production yields. The encapsulation Gibbs energy terms from the partition functions combined with the observed saturated metal pressures are employed. A model scheme is used dealing with the XS template gas-phase presence. The computations predict that Sc₂S@C₈₂ should be produced in considerably larger amounts than Y₂S@C₈₂ which is in agreement with available observations. The yield order originates in the fact that both energetics and saturated metal pressure favor Sc over Y.