arXiv2004
In this report, we discuss whether the optimal electric field to promote the growth of armchair- type nanotubes (metallic character) evaluated using the previous Huckel-Poisson method can be applied at the tip of a nanotube in a realistic system. Setting the cross-section of a nanotube and the external field by the sheath, we estimate an effective area at the sheath edge. Since the electric charge distribution in a nanotube caused by the external electric field was determined in our previous study, we obtained the electric field distribution out of a nanotube by solving the Poisson equation and clarified the structure of the electric field lines. By determining the effective area, we show the optimal interval of the catalyst metal, which is necessary to selectively grow the metallic nanotubes. When nanotubes grow thickly during the initial stage of growth, a strong electric field cannot be applied to the tips of the tubes. As a tube grows and the tube length increases, we found that the optimal electric field decreased. To maintain the chemical activity at the tip, the sheath electric field must be decreased. We estimated the decreasing rate of the sheath field to the tube length.