Abstract

A fundamental allotrope of carbon that has drawn significant interest in the fields of nanoscience, nanotechnology, condensed matter physics and chemistry, biological physics, materials science and technology, mechanical and electrical sciences, biomedical engineering, and most recently, medical nanotechnology, and nanoneuroscience. Fullerenes are another important allotrope of carbon in addition to graphite, diamond, and nanotubes. The use of molecular topological indices is crucial for bridging the gap between theoretical and practical aspects of chemical characteristics. In recent years, topological indices have been used to investigate the chemical and physical characteristics of fullerenes. This paper uses the [Formula: see text] molecular topological index to present topological modeling of the binding energies, heats of formation, shape resonances, and Ramsauer-Townsend minima of fullerenes.

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