Eg. Gamaly et Lt. Chadderton, FULLERENE GENESIS BY ION-BEAMS, Proceedings - Royal Society. Mathematical and physical sciences, 449(1936), 1995, pp. 381-409
Clearly detectable quantities of molecular fullerene (C-60), the most
recently discovered allotrope of carbon, have been observed in graphit
e following irradiation with heavy projectile ions at energies of abou
t 1 GeV using high pressure chromatography. Similar experiments using
lower ion energies gave no corresponding signal, indicating an absence
of fullerene. This clear difference suggests that there exists an ene
rgy threshold for fullerene genesis. Beginning with a microscopic desc
ription of deposition and transfer of energy from the ion to the targe
t, a theoretical model is developed for interpretation of these and si
milar experiments. An important consequence is a description of the fo
rmation of large carbon clusters in the hot dense 'primeval soup' of s
ingle carbon atoms by means of random 'sticky' collisions. The ion ene
rgy threshold is seen as arising, physically. from a balance in the co
mpetition between the rate of primary energy deposition and the rate o
f system cooling. Rate equations for the basic clustering process allo
w calculation of the time-dependent number densities for the different
carbon clusters produced. An important consequence of the theory is t
hat it is established that the region for the specific phase transitio
n from graphite to fullerene lies in the same pressure regime on the p
hase diagram as does the corresponding transition for graphite to diam
ond.