Ali Asghar Khakpoor - Department of Physics, Central Tehran Branch, Islamic Azad University, Iran
Maryam Mazdarani - Department of Mathematics, West Tehran Branch, Islamic Azad University, Iran
Bahare Agahi Keshe - Young Researchers and Elite Club, West Tehran Branch, Islamic Azad University, Iran

Moletronics is a branch of nanoelectronic that considers the use of small groups of molecules in nanoscale. A family of organic molecules that has been highly regarded in Moletronics and nano-scale are Cyclacenes with the chemical formula C۴n+۲ H۲n+۴. Since the identification and analysis of nanostructures, especially in large Cyclacenes need high money and time, a model for predicting the physical and electronic properties is of special importance. Topological indices that were introduced during the studies on the molecular graphs in chemistry can describe and predict some chemical, physical, electronic of the molecules. This paper explains and proves some theorem and then examines topological index HG(G) in the Cyclacenes family. It is tried to provide an appropriate model to determine the amounts of total π electron energy in the family, and especially for the members where the number of loops are high.

Nanoelectronic; Cyclacenes; Total π Electron Energy; Topological Indices.