2-resonant fullerenes

On the 2-Resonance of Fullerenes

We show that every pair of hexagons in a fullerene graph satisfying the isolated pentagon rule (IPR) forms a resonant pattern. This solves a problem raised by Ye et al. [SIAM J. Discrete Math. 23(2):2009, p. 1023–1044].

Resonant optical nonlinearity of fullerenes in free-standing polymethyl methacrylate films

We have prepared films of polymethyl .methacrylate in which fullerenes (a mixture of C,, and C,,) are uniformly embedded. By performing both degenerate four-wave mixing experiments and h-radiance-dependent transmission measurements with nanosecond laser pulses of 608nm wavelength, the third-order nonlinear optical susceptibility of these films is determined to be of the order of 10-l’ esu. This...

Exohedral silicon fullerenes: SiNPtN/2 (20≤N≤60)

Bipartizing fullerenes

A fullerene graph is a cubic bridgeless planar graph with twelve 5-faces such that all other faces are 6-faces. We show that any fullerene graph on n vertices can be bipartized by removing O( √ n) edges. This bound is asymptotically optimal.

2 00 9 Defect - induced ferromagnetism in fullerenes

Based on the ab initio electronic structure calculations the picture of ferromagnetism in polimerized C60 is proposed which seems to explain the whole set of controversial experimental data. We have demonstrated that, in contrast with cubic fullerene, in rhombohedral C60 the segregation of iron atoms is energetically unfavorable which is a strong argument in favor of intrinsic character of carb...