Comparing Zinc Oxide- and Zinc Silicate-Related Metal-Organic Networks via Connection-Based Zagreb Indices

Metal-organic networks (MONs) are among the unique complex and porous chemical compounds. So, these chemical compounds consist of metal ions (vertices) and organic ligands (edges between vertices). These networks represent large pore volume, extreme surface area, morphology, excellent chemical stability, highly porous and crystalline materials, and octahedral clusters. MONs are mostly used in assessment of chemicals, gas and energy storage devices, sensing, separation and purification of different gases, heterogeneous catalysis, environmental hazard, toxicology, adsorption analysis, biomedical applications, and biocompatibility. Recently, drug delivery, cancer imaging, and biosensing have been investigated by biomedical applications of zinc-related MONs. The versatile applications of these MONs make them helpful tools in many fields of science in recent decade. In this paper, we discuss the two different zinc oxide and zinc silicate related MONs according to the number of increasing layers of metal and organic ligands together. We also compute the connection-based Zagreb indices such as first Zagreb connection index (ZCI), second ZCI, modified first ZCI, modified second ZCI, modified third ZCI, and modified fourth ZCI. Moreover, a comparison is also included between the zinc-related MONs by using numerical values of connection-based Zagreb indices. Finally, we conclude that zinc silicate-related MON is better than zinc oxide-related MON for all values of n.

Computing Novel Multiplicative Zagreb Connection Indices of Metal Organic Networks

Metal organic networks (MONs) are defined as one, two and three dimensional unique complex structures of porous material and subclass of polymer’s coordination. These networks also show extreme surface area, morphology, excellent chemical stability, large pore volume, highly crystalline materials. The major advantages of MONs are tailorability, structural diversity, versatile applications, highly controllable nano-structures and functionality. So, the multi-functional applications of these MONs are made them more helpful tools in many fields of science in recent decade. In this paper, we light on the two different MONs with respect to the number of increasing layers of metal and organic ligands together. We define the novel multiplicative Zagreb connection indices (ZCIs) such that multiplicative fourth ZCI and multiplicative fifth ZCI. We also compute the main results for multiplicative Zagreb connection indices of two different MONs (zinc oxide and zinc silicate).