Endohedral chemical shiftsδ(endo) at the very centers of fullerenes and their derivatives (right) can to a large extent be related to ring currents localized in the individual pentagons and hexagons. These ring currents are assessed by theoretical NICS (nucleus-independent chemical shift) calculations, which have recently been introduced as a probe for local aromatic and antiaromatic character.
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Michæl Bühl (1998) studied this question.