Calculation of the sizes of individual few-walled carbon nanotubes and their bundles

Abstract

The temperature dependences of the number of nucleating single-walled and few-walled nanotubes and their diameter have been determined over a wide range of model parameters in the framework of the problem regarding the nucleation of carbon nanotubes from catalytic particles supersaturated with carbon. It has been demonstrated that, initially, individual nanotubes nucleate and grow and, then, they can be joined together into bundles. The mechanism of the formation of bundles in the proposed model follows from the quantum-chemical analysis of the steady-state growth of nanotubes at the level of release of individual carbon atoms. During the growth, the axis of the nanotube rotates about the normal to the surface of the catalytic particle. This leads to the cross-linking of nanotubes into bundles. The characteristic diagram of the regions of the existence of individual single-walled, few-walled, and multiwalled nanotubes and their bundles has been constructed as a function of the temperature and the size of catalytic particles.