"

Cookies ussage consent

Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our site without changing the browser settings you grant us permission to store that information on your device.

Computation of full symmetry group of C4C8(R) nanotubes using a mathematical model

MEHRDAD TAGHIZADEH1, MAJID AREZOOMAND1,* , HAMID GAZOR1

Affiliation

  1. Department of Mathematics, Majlesi Branch, Islamic Azad University, Isfahan, Iran

Abstract

The full symmetry group of C4C8(R) nanotubes are investigated. We introduce the nanotube graphs as metric spaces and consider their isometries to compute their symmetry groups. It is shown that the symmetry group of a chiral nanotube with chiral vector c, is isomorphic to Gc =< x, y, z | xn = z2 = (zx)2 = (yz)2 = 1, xy = yx, o(y) = ∞ >..

Keywords

Full symmetry group, C4C8(R) nanotube, Metric space.

Citation

MEHRDAD TAGHIZADEH, MAJID AREZOOMAND, HAMID GAZOR, Computation of full symmetry group of C4C8(R) nanotubes using a mathematical model, Optoelectronics and Advanced Materials - Rapid Communications, 6, 11-12, November-December 2012, pp.1046-1048 (2012).

Submitted at: July 16, 2012

Accepted at: Oct. 30, 2012