Considerable studies indicate that there is a strong internal link existing between the characteristics of chemical compounds and drugs and their molecular structures. The boiling point and melting point could be one of the most typical examples among the chemical compounds and drugs. Some researchers found the effectiveness of the topological indices defined on the molecular structure and make use of the structure to get a better understanding for the physical features, chemical reactivity, and biological activity. As a result, serving as the essential component of the chemical experiment, the research of topological indices on chemical structure of chemical materials and drugs laid a theoretical foundation for the manufacturing of drugs and chemical materials. In this paper, in terms of molecular structural analysis, we determine some eccentric related indices of an infinite class of nanostar dendrimers which is denoted by n G .