  This review covers recent achievements in the studies of quantum properties
of the novel carbon materials (fullerite C60 and bundles of single-walled
nanotubes (SWNT)) saturated with such light-mass species as helium isotopes,
the homonuclear molecular hydrogens, and neon. It is shown that even some heavy
dopants demon-strate kinetic phenomena, in which coherent effects play an
essential role. Two theoretical concepts are surveyed which have been suggested
for the explanation of the anomalous phenomena in saturation kinetics and
linear thermal expansion of doped C60. Most unusual effects have been also
observed in the low-temperature radial ex-pansion of bundles of single-walled
carbon nanotubes saturated with the helium isotopes. First, it was shown that
low-temperature radial expansion of pure SWNT is negative, i.e., a nanotube
shrinks with warming. Second, sa-turation of SWNT bundles with the helium
isotopes entails a huge increase of the negative expansion effect, when the
dopant is He. So far, no detailed physical picture has been put forward. It is
worth mentioning that the dynamics of a single helium atom on an isolated
nanotube corresponds to that of a tight-bound quasiparticle with a band width
of about 10 K.
