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Abstract Topological indices are valuable tools in predicting properties of chemical compounds. This study focuses on degree-based topological indices, which have shown strong correlations with various physico-chemical properties such as boiling points and strain energy. Specifically, we applied these indices to titania nanotubes $$TiO_2$$ T i O 2 and explored the vertex and edge versions of the Mostar index. These findings provide insights into the properties of $$TiO_2$$ T i O 2 nanotubes and contribute to the development of topological indices for predicting the behavior of other chemical compounds.