The threshold displacement energy of buckminsterfullerene C${}_{60}$ and formation of the endohedral defect fullerene He@C${}_{59}$

We have measured the threshold center-of-mass kinetic energy for knocking out a single carbon atom from C${}_{60}^{-}$ in collisions with He. Combining this experimental result with classical molecular dynamics simulations, we determine a semi-empirical value of 24.1$\pm$0.5~eV for the threshold displacement energy, the energy needed to remove a single carbon atom from the C${}_{60}$ cage. We report the first observation of an endohedral complex with an odd number of carbon atoms, He@C${}_{59}^{-}$, and discuss its formation and decay mechanisms.