Chapter 1

Topological Efficiency Approach to Fullerene Stability - Case Study with C<sub>50</sub>

Ante Graovac, Ali Reza Ashrafi and Ottorino Ori

Abstract

An innovative theoretical mechanism leading to the classification of the stability of fullerene isomers is presented. This approach is based on the action of suitable topological potentials impacting on molecular stability, namely topological compactness and topological sphericality indexes, providing a fast and general ranking algorithm. Present results point out that electronic properties of sp&lt;sup&gt;2&lt;/sup&gt; carbon systems are deeply rooted in the topology of their atomic network.

Total Pages: 3-23 (21)

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