The influence of the stacking orientation of C and BN stripes in the structure, energetics, and electronic properties of BC2N nanotubes

Carbon and boron nitride nanotubes present significant differences in their electronics. However, they have isoelectronic bonds and very similar geometrical structures that allow BCN nanotubes to be synthesized. These BCN nanotubes present properties that can vary according to their relative number of B, C, and N atoms, and their atomic distribution on the nanotube surface. Here we employ first-principles density functional theory to study BCN nanotubes with BC2N stoichiometry. These nanotubes are composed of pure BN and C stripes which are stacked (i) in parallel, (ii) perpendicularly, and (iii) forming helicoidal patterns along the nanotube axes. We found that the different strain energies of the curved C and BN arcs in the nanotubes with parallelly aligned stripes can lead to geometries that deviate significantly from the usual circular shape. A sinusoidal shape was predicted for a BC2N nanotube with a helicoidal arrangement of the C and BN stripes due to differences in the C-B and C-N bonds parallel to the tube axis. It was shown that the phase segregation is energetically favoured. Such structural preference and the relative stability of the BC2N nanotubes can be explained in terms of the ratio between the total number of bonds and the number of C-B and C-N bonds in the nanotubes. Finally, we found that one type of BC2N nanotube with helicoidal C and BN stripes, although having a zigzag structure, exhibits a metallic character.