Topological indices and patterns in iron telluride networks

• Published in: Scientific reports Vol. 14; no. 1; pp. 14297 - 20
• Main Authors: Yang, Hong, Hanif, Muhammad Farhan, Siddiqui, Muhammad Kamran, Hanif, Muhammad Faisal, Ahmed, Hira, Fufa, Samuel Asefa
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group 21.06.2024; Nature Publishing Group UK; Nature Portfolio
• Subjects: Balaban index; Crystal structure; Forgotten index; General randic index; Iron; Iron telluride network; Mathematical analysis; Mathematical models; Physical characteristics; Statistical analysis; Statistical methods; Topological indices; Trends; Zagreb type indices
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/s41598-024-65205-y

Abstract This paper explores the complex interplay between topological indices and structural patterns in networks of iron telluride ( FeTe ). We want to analyses and characterize the distinct topological features of ( FeTe ) by utilizing an extensive set of topological indices. We investigate the relationship that these indicators have with the network’s physical characteristics by employing sophisticated statistical techniques and curve fitting models. Our results show important trends that contribute to our knowledge of the architecture of the ( FeTe ) network and shed light on its physiochemical properties. This study advances the area of material science by providing a solid foundation for using topological indices to predict and analyses the behavior of intricate network systems. More preciously, we study the topological indices of iron telluride networks, an artificial substance widely used with unique properties due to its crystal structure. We construct a series of topological indices for iron telluride networks with exact mathematical analysis and determine their distributions and correlations using statistical methods. Our results reveal significant patterns and trends in the network structure when the number of constituent atoms increases. These results shed new light on the fundamental factors that influence material behavior, thus offering a deeper understanding of the iron telluride network and may contribute to future research and engineering of these materials.