Ghani, Muhammad UsmanSultan, FaisalEl Din, El Sayed M. TagKhan, Abdul RaufLiu, Jia-BaoCancan, Murat2025-05-102025-05-1020221420-304910.3390/molecules272069752-s2.0-85140784430https://doi.org/10.3390/molecules27206975https://hdl.handle.net/20.500.14720/10294Khan, Abdul Rauf/0000-0002-4709-3860; Usman Ghani, Muhammad/0000-0001-9916-2031; Liu, Jia-Bao/0000-0002-9620-7692; Tag Eldin, Elsayed/0000-0003-3151-9967Entropy is a thermodynamic function in chemistry that reflects the randomness and disorder of molecules in a particular system or process based on the number of alternative configurations accessible to them. Distance-based entropy is used to solve a variety of difficulties in biology, chemical graph theory, organic and inorganic chemistry, and other fields. In this article, the characterization of the crystal structure of niobium oxide and a metal-organic framework is investigated. We also use the information function to compute entropies by building these structures with degree-based indices including the K-Banhatti indices, the first redefined Zagreb index, the second redefined Zagreb index, the third redefined Zagreb index, and the atom-bond sum connectivity index.eninfo:eu-repo/semantics/openAccessMolecular GraphNiobium OxideMetal-Organic FrameworkTopological IndicesK-Banhatti EntropiesRedefined Zagreb EntropiesAtom-Bond Sum Connectivity EntropyArticle2720Q2Q236296567WOS:000875203900001