cAlthough higher fullerenes are not yet of even the larger, more complex carbon the larger carbon cages, it was sofar available in larger amounts, their acces-spheres C,,, CS4, and recently also C,, , mostly explored through their chemistry sibility, like that of C,,, has gradually have been isolated and characterized. and can be related to different structural improved since the early days of From the collected body of data, first characteristics. A recently proposed sysfullerene chemistry. Today, many of the general principles of reactivity and selec-tem allows simple specification by a soluble larger carbon cages can be pur-tivity begin to emerge for these fuller-single descriptor of the configuration of chased either in pure form or as isomeric enes, which are all less symmetric than chiral fullerenes and fullerene derivamixtures. In particular, pure C,, is C,, . Important information is provided tives with a chiral functionaiization patavailable in preparative amounts from by multiple additions to higher fuller-tern, including highly branched carbon fullerene soot without the need for te-enes, in which certain isomers are frameworks with a multitude of possible dious separation by high-performance formed with a remarkable selectivity stereogenic centers. liquid chromatography; this has had a that exceedes that observed for C,,. A major impact on the progress of the particularly attractive aspect is the chi-Keywords: carbon allotropes -chiralichemistry of this higher fullerene. Over rality of certain allotropes and many ty -fullerenes reactivity the last years C,, has been functional-derivatives. Although the chirality of ized in many ways, and pure derivatives fullerene derivatives is not restricted to L