Achiral parent fullerenes, chiral fullerene derivatives

Derivatives of achiral parent fullerenes in which the functionalization creates a chiral addition pattern on the spheroid, regardless of the addends being identical or different, have an inherently chiral functionalization pattern. The derivatives of chiral parent fullerenes automatically have an inherently chiral functionalization pattern. 

Derivatives of achiral parent fullerenes in which the chirality of the functionalization pattern is due only to nonidentities among addends, have a noninherently chiral functionalization pattern. The analogy of this situation to that of a center of chirality should be noted. 

Derivatives of Achiral Parent Fullerenes with an Inherently Chiral Functionalization Pattern... 

As the parent fullerene is achiral, its C-atom numbering can in principle be achieved with either one of the two mirror-symmetric numbering schemes. For a particular enantiomer of its derivatives with an inherently chiral functionalization pattern, however, a single numbering scheme only leads to the lowest set of locants for the addends (cf. Sections IV.A.l and IV.A.2) (Figure 1.4). 

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