Polyhedral Model of Carbon Nanotubes Analytically Describing their Geometry

Authors L. Chkhartishvili, N. Maisuradze, N. Mamisashvili
Affiliations

Georgian Technical University, 77 Merab Kostava Ave., 0175 Tbilisi, Georgia

Е-mail [email protected]
Issue Volume 9, Year 2017, Number 1
Dates Received 13 November 2016; revised manuscript received 07 February 2017; published online 20 February 2017
Citation L. Chkhartishvili, N. Maisuradze, N. Mamisashvili, J. Nano- Electron. Phys. 9 No 1, 01005 (2017)
DOI 10.21272/jnep.9(1).01005
PACS Number(s) 33.15.Dj, 36.20.Hb
Keywords Carbon nanotube (21) , Polyhedral model, C–C bond, Nanotube index.
Annotation For carbon nanotubes, there is constructed a geometric model of polyhedral type, which allows the expressing their key structural parameters analytically, as functions of C–C bonds length and nanotube indices. In general, explicit formulas are obtained for 1D lattice constant and radius. Cylindrical coordinates of atomic sites and inter-site distances in carbon nanotubes are additionally found for achiral (zigzag and armchair) nanotubes. ‘Analytic’ geometric model will be useful for theoretical determination of ground-state and electronic structure parameters of carbon nanotubular materials, credible analysis of corresponding experimental data, as well as purposeful designing devices based on nanotubular carbon.

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