Measurements of X-ray scattering by the hydrocarbon films, deposited in tokamak T-10, in the range of scattering wave vector's modulus q similar to 5 divided by 70 nm(-1) are interpreted via solving an optimization problem within a broad class of carbon nanostructures (tubules, fullerenes and bigger spheres, ellipsoids, toroids, half-fragments of all these structures, flat flakes, etc.), with allowance for amorphous hydrocarbon component and heavy impurities. It is shown that (i) wide peaks at q similar to 10, 30 and 55 nm(-1) may be caused by the nanostructures formed by the curved single-layer graphene, (ii) respective most probable candidates are 2-3 nm wide, low-aspect-ratio toroids. (C) 2011 Elsevier B. V. All rights reserved.