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. 2022 Feb 16;12:2604. doi: 10.1038/s41598-022-06608-7

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© The Author(s) 2022

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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The density of states (DOS) profiles of (a) Au₂–Ag₂/TiO₂ (four atoms) cluster on bridging row oxygen vacant site and (b) the enlarged view of trap states which is majorly composed of Au(5d) and Ag(4d). (The DOS profile reflects the activity of the catalyst based on the analysis of bonding and antibonding states located at the left side of the E_F and right side of the E_F regions, respectively, where they are separated by the Fermi level designated at E_F = 0 eV.