This research delves into the application of topological indices in predicting the physico-chemical properties of chemical materials. These indices have been employed in various QSAR and QSPR studies, providing a mathematical formulation to predict properties such as viscosity and radius of gyrations Rucker and Rucker [J. Chem. Inf. Comput. Sci. 39, 788–802, (1999)]. We explore several indices, including the forgotten topological index, inverse sum index, general sum connectivity index and first multiplicative atom bond connectivity index, and investigate their usefulness in predicting bio-activity and anti-inflammatory activities of certain chemical compounds. Specifically, we focus on the allotrope structure, nanotubes and dominating oxide and silicate chemical networks. We present a graphical trend of these indices and perform a comparison to facilitate the observation of physical-chemical properties of these materials for researchers.