Density functional theory was applied to compute the nucleus-independent chemical shifts of fullerene (C₆₀), the fullerene ion C₆₀ ¹⁰⁺, and the Jahn–Teller active fullerene anion C₆₀ ⁻ and cation C₆₀ ⁺. Positioning a ³He nucleus inside the cage of each of these fullerene species facilitates investigations of the substantial differences among them, ³He NMR chemical...