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.
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Evarestov, R.A. (2012). Symmetry and Modeling of BN, TiO2, and SrTiO3 Nanotubes. In: Quantum Chemistry of Solids. Springer Series in Solid-State Sciences, vol 153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30356-2_13
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