Free elecrron artachment to C, and C70 has been studied as a function of electron energy between about 0 and 14 eV. The attachment process yields copious amounts of C, and C, (with an estimated attachment cross section approaching lo-'* cm'), but neither fragment nor doubly charged anions are observed. The relative attachment cross section curves for C, and C, for energies up to 14 eV consist of broad continuum-type curves superimposed on which appear several resonance-like structures. The resonance at about zero electron energy is attributed to a nuclear-excited Feshbach resonance mechanism, whereas resonances at higher electron energies are attributed to electron-excited Feshbach resonances involving known one-electron n to rF transitions and collective excitations (plasmons) These resonances are broadened due to electron-phonon scattering, i.e. scattered electrons with non-zero energy are caged inside the fullerene. This multiple reaction sequence also accounts for the broad continuum beneath the resonance-like structures and is termed an electron/phonon-excited Feshbach resonance. The electronic structure of CG, derived from the attachment spectrum obtained, is in accordance with theoretical predictions and various electron energy loss studies.