"

Cookies ussage consent

I agree.

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.

Computational results on inertia indices, signature and nullity of C4C8 (R) nanotube

SAKANDER HAYAT1,* , ASAD KHAN2, FAISAL YOUSAFZAI2, MUHAMMAD IMRAN1

Affiliation

  1. Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad, Pakistan
  2. School of Mathematical Sciences, University of Science and Technology of China (USTC), Hefei, Anhui, China

Abstract

A molecular/chemical graph is hydrogen depleted chemical structure in which vertices denote atoms and edges denote the bonds. Topological descriptors are the numerical indices based on the topology of the atoms and their bonds (chemical conformation, quaternary structure). They correlate various physico-chemical properties like boiling point, enthalpy of formation, enthalpy of vaporization, Kovat’s constant etc., of various chemical compounds. Carbon nanotubes, a type of fullerene, have potential in fields such as nanotechnology, electronics, optics, materials science and architecture. The numerical parameters like inertia indices, signature and nullity attract much attention due to their diverse application in chemistry e.g., nullity of a molecular graph is related to the stability of saturated hydrocarbons.In this paper, inertia indices, signature and nullity of [TUC4 C8 (R)2m-1,2n-1] nanotube are strong-minded. We conclude that the positive and negative inertia indices are equal for this nanotube and signature and nullity for this nanotube remain zero..

Keywords

Inertia indices, Signature, Nullity, Nanotubes.

Citation

SAKANDER HAYAT, ASAD KHAN, FAISAL YOUSAFZAI, MUHAMMAD IMRAN, Computational results on inertia indices, signature and nullity of C4C8 (R) nanotube, Optoelectronics and Advanced Materials - Rapid Communications, 9, 3-4, March-April 2015, pp.478-481 (2015).

Submitted at: Feb. 2, 2015

Accepted at: March 19, 2015