Evidence was presented that vacancy-hole or vacancy-tube (similar to vacancy loops in crystalline materials) migration constitutes an important self-diffusion mechanism in multi-wall carbon nanotubes when they were irradiated by an electron beam at about 2000C. Isolated vacancies agglomerated to form vacancy holes/tubes with lengths from 3 to 16nm and widths from 1 to 4 basal planes in the intermediate layers of the multi-wall carbon nanotubes. The formation of vacancy holes/tubes was attributed to the high mobility of vacancies at high temperatures and the confinement of the intermediate layers posed by the top and bottom layers. The vacancy holes/tubes were mobile and could migrate along the axial, radial, or circumferential directions of the nanotubes. Driven by the temperature gradient and the thermal fluctuation, the migration velocity of the holes varies from a few to 80nm/s. The results demonstrated that a carbon nanotube was a perfect system for studying vacancy properties in a quasi-one-dimensional system.

Vacancy-Hole and Vacancy-Tube Migration in Multiwall Carbon Nanotubes. Huang, J.Y., Ding, F., Yakobson, B.I.: Physical Review B, 2008, 78[15], 155436