Department of Mathematics, Faculty of Science, Mahidol University
16:00 Wednesday 25th January 2017, Room 3303, MUIC
Both discrete and continuous approximations are employed to determine the join structure involved the novel carbon nanostructure formed from a C60 fullerene and a carbon nanotube, namely a nanobud. First, using a least squares minimization procedure, discrete model is employed to join a fullerene and a carbon nanotube by minimizing the variation in the bond length. This purely geometrical approach is closely related to the bonded potential energy method. Second, by employing a calculus of variations technique, a continuous approximation to the nanobud is determined. In this case, there are two models depending upon the sign of the curvature of the join profile. We find that the discrete and the continuous approximations are in reasonable overall agreement. However, there is no experimental or simulation data to determine which procedure gives the more realistic results.
Structure of Nanobuds [A.G. Nasibulin et al. Nature Nanotechnology (2007) 2, 156-161]