Abstract Submitted to the    NANOTUBE'04 Conference:

In this paper are presented the new original results of the according work , in which were received: Criteria of a break (stability) of such the nanotubes that impact about them the fullerines of the gas; The critical value of an external electric field at which excess, in the given system, electrical charged nanotubes become “unsensitive” to impacts about them the fullerines of the gas i.e. occurs “straightening”of the nanotubes in external electric field. Also the process of the formation of the single-walled carbon nanotubes from the fullerines’ (C-60)gas above the substrate was statistically considered . In result were received: The distribution of the nanotubes by their lengths, as the function of the parameters of the system was described above; Average waiting times of the occurrence in system of the nanotubes with the given lengths and - average waiting times of the filling of the given area of the substrate by a one-fullerine’s layer, and it is also received here the radial distribution of such stratifications around of the given nanotube. Also, expressions for the average speeds are received: for the average speed of the growth of the nanotube with the given length and for the average speed of the “ redial” growth of the one-fullerine’s stratifications- accordingly;the comparison of these sizes is carried out. Besides that , the expression for the average growth rates of all structure of the nanotubes in system, as a whole ,is received too. On the basis of the received results the analysis of optimum conditions of the formation of the single-walled carbon nanotubes from the fullerines’ gas with the given lengths is carried out.