Smallest nanotube: breaking the symmetry of sp(3) bonds in tubular geometries.

We describe how sp(2) carbon, threefold coordinated by other carbons, can be replaced by sp(3) carbon, also threefold carbon coordinated, to produce extremely small-diameter ( approximately 0.4 nm) carbon nanowires with only minimal bond-angle distortion. Under a naming convention analogous to that for ordinary carbon nanotubes, the smallest sp(3) tubes have wrapping indices (3,0) and (2,2). These systems have large band gaps and a stiffness larger even than that of traditional sp(2)-bonded carbon nanotubes. They therefore form the stiffest one-dimensional systems known.