Nano properties analysis via fourth multiplicative ABC indicator calculating

In the field of nanoscience, there are a large number of new nanomaterials produced in the laboratory every year. These nanomaterials need to go through a lot of tests in engineering application before, to determine their physical, chemical and nanomedicine properties. The work demands a large number of experimental personnel, equipment and reagents, and it’s time-consuming as well. In the theoretical nanoscience, the various features can be obtained through the computation of topological index on nano molecular structures. In this paper, we study the fourth multiplicative atom-bond connectivity indices of some special molecular structures which commonly appeared in the compound of nanomaterials, and their specific expressions are given. The results yielded in this work will be a guidance for the practical nanoscience applications. Keywords: Theoretical nanoscience, Molecular structure, Fourth multiplicative atom-bond connectivity index, Dendrimer