Symmetry and Modeling of BN, TiO2, and SrTiO3 Nanotubes

Abstract

The commensurate line groups (also called monoperiodic groups) are symmetry groups of three-dimensional objects translationally periodic along a line-stereoregular polymers, nanotubes, and nanorods. The symmetry groups of nanoribbons and nanowires (75 rod groups) form a finite subset of an infinite number of line groups.