Desorption of C-60(+) and its dimer cation was investigated on irradiation with nonresonant femtosecond laser pulses at 1.4 mu m. Ionization of solid C-60 revealed strikingly different features, such as the absence of multiply charged molecular ions, the emission of C+ at low laser intensity, C-2 attachments, delayed ionization, and dimer cation formation, as compared with the gas phase experiments. The large kinetic energy distribution of ions found in this study indicated that the desorption process was mainly driven by an electrostatic mechanism rather than by thermal, photochemical, or volume expansion mechanisms. Singly charged C-60 emission by a Coulomb explosion due to the high density of C-60(+) is suggested.