Information is given about the thermodynamic and kinetic singularities
in the behavior of fullerenes in solutions. Experimental data are giv
en on the solubility of fullerenes of different sorts in different sol
utions in a wide temperature range. These data are analyzed on the bas
is of the phenomenon of aggregation of fullerenes in solutions, which
was predicted by me and later observed experimentally. A broad spectru
m of phenomena are treated, which are associated with the formation in
solutions of clusters that consist of a number of fullerene molecules
. These phenomena include the recently revealed nonmonotonic temperatu
re dependence of solubility of fullerenes in various solvents, nonline
ar concentration dependence of nonlinear optical susceptibility of the
third order, a sharp dependence of the coloring of fullerene solution
on the composition of solvent, and the like. The above-identified phe
nomena are analyzed on the basis of the drop model of cluster, which p
rovides for a consistent thermodynamic description of the behavior of
fullerenes in solutions. Experimental data are given on the diffusion
coefficient of fullerenes in solutions. These data are analyzed from t
he standpoint of the possibility of using them to describe the Stokes-
Einstein formula. Proceeding from the cluster behavior of solubility o
f fullerenes, the concentration dependence of the diffusion coefficien
t of fullerenes in solutions is revealed. The possibility of using thi
s latter dependence as a basis for a new method of separation and puri
fication of fullerenes, including higher ones, is discussed. The possi
bility is shown of the existence of thermal diffusion of fullerenes in
solutions, based on the cluster behavior of their solubility. The res
ults are given of calculations of the temperature and concentration de
pendences of the thermal diffusion coefficient of fullerenes in soluti
ons.