On Eccentric Connectivity Index of TiO2 Nanotubes

Abstract

The eccentric connectivity index (ECI) is a distance based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature. The ECI has been shown to give a high degree of predictability compare to Wiener index with regard to diuretic activity and anti-inflammatory activity. The prediction accuracy rate of ECI is better than the Zagreb indices in case of anticonvulsant activity. Titania nanotu-bular materials are of high interest metal oxide substances due to their widespread techno-logical applications. The numerous studies on the use of this material also require theoret-ical studies on the other properties of such materials. Recently, the Zagreb indices were studied of an infinite class of titania (TiO₂) nanotubes [32]. In this paper, we study the eccentric connectivity index of these nanotubes.