Model of C60 fullerene, (H2O)60 water, and other similar clusters.
An analytical calculation of the partition function for the lattice gas model of a finite fullerene type cluster and of an infinite nanotube type cluster is presented. The method of calculation is based on the Vdovichenko random walk approach. There appear to be two values of critical temperature, and the heat capacity in their vicinities is proportional to (T-T(c))(-1).
Siparov
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Department of Physics, Academy of Civil Aviation, 38 Pilotov Street, St. Petersburg, 196210, Russia.