Self-assembly allows new opportunities to control the morphology and properties of fullerenebased materials. By using the electron-accepting underivatized C60 and electron-donating pyridine groups of a polystyrene-block-poly(4-vinylpyridine), PS-block-P4VP, we here show the first example that charge-transfer complexation between fullerenes and block copolymers can essentially modify the self-as...

Mathematical models of fullerenes are cubic polyhedral and spherical maps of face-type (5, 6), that is, with pentagonal and hexagonal faces only. Any such map necessarily contains exactly 12 pentagons, and it is known that for any integer α ≥ 0 except α = 1 there exists a fullerene map with precisely α hexagons. In this paper we consider hyperbolic analogues of fullerenes, modelled by cubic pol...

Fullerenes, a new form of carbon, were discovered in 1985 [1] in graphite vaporization under inert gas at low pressure. Fullerenes have many properties different from either diamond or graphite. Potential applications include superconductors, sensors, catalysts, optical and electronic devices, polymer composites, high-energy fuels and biological and medical materials. But wide application of fu...

Nanoscale carbon-based fillers are known to significantly alter the mechanical and electrical properties of polymers even at relatively low loadings. We report results from extensive molecular-dynamics simulations of mechanical testing of model polymer (high-density polyethylene) nanocomposites reinforced by nanocarbon fillers consisting of graphene flakes and fullerenes. By systematically vary...

An n-fullerene is an n-dimensional cell complex where the stars of the points are (n − 1)-dimensional simplices and the 2-cells are pentagons or hexagons. We say that an n-fullerene is uniform if the number of hexagonal faces containing a given vertex p (and, when n¿ 3, contained in a given 3-face X on p) does not depend on the choice of p (and X ). For instance, the dodecahedron, the truncated...

Mobilities in helium gas for isomers belonging to the major structural families of carbon clusters identified in drift tube studies ~chains, monocyclic and bicyclic rings, graphite sheets, and fullerenes and their dimers! have been evaluated by trajectory calculations employing a realistic ion-He interaction potential. For all the species considered, the agreement between the measured and calcu...

The three known classes of convex polyhedron with equal edge lengths and polyhedral symmetry--tetrahedral, octahedral, and icosahedral--are the 5 Platonic polyhedra, the 13 Archimedean polyhedra--including the truncated icosahedron or soccer ball--and the 2 rhombic polyhedra reported by Johannes Kepler in 1611. (Some carbon fullerenes, inorganic cages, icosahedral viruses, geodesic structures, ...

In this paper, we investigate some of the classical restricted three body problems at the nanoscale, such as the circular planar restricted problem for three C60 fullerenes, and a carbon atom and two C60 fullerenes. We model the van der Waals forces between the fullerenes by the Lennard-Jones potential. In particular, the pairwise potential energies between the carbon atoms on the fullerenes ar...

We present a comparison of the bond polarizabilities for carbon-carbon bonds in hydrocarbons and fullerenes, using two different models for the fullerene Raman spectrum and the results of Raman measurements on ethane and ethylene. We find that the polarizabilities for single bonds in fullerenes and hydrocarbons compare well, while the double bonds in fullerenes have greater polarizability than ...