Size effect of X-shaped carbon nanotube junctions

Systematic calculations have been performed for X-shaped junctions formed between two crossed identical carbon nanotubes (armchair or zigzag tubes) with diameters ranging from 3.92 Å to 9.49 Å using an empirical potential method. The formation energy of X junctions is found to be a function of the diameter of the tubes. The formation temperature is dependent on the curvature of tubes. The calculations show that it is energetically favorable to form X junctions by the direct heating method if the tube diameter is less than 0.85 nm.