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Article

A Calculation Method for Surface Energies with Thermodynamic Characteristics and Its Application in Investigating Activity Mechanisms for Nanoporous W

Institute of Advanced Metallic Materials, School of Materials Science and Engineering, Tianjin University, Tianjin 300350, China
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Author to whom correspondence should be addressed.
Materials 2025, 18(21), 4895; https://doi.org/10.3390/ma18214895 (registering DOI)
Submission received: 24 September 2025 / Revised: 21 October 2025 / Accepted: 23 October 2025 / Published: 26 October 2025
(This article belongs to the Topic Surface Science of Materials)

Abstract

Surface energy is involved in various thermodynamic processes, providing a driving force for thermodynamic reactions. However, surface energies applied in current engineering calculations are generally measured in J/m2, which is unsuitable for thermodynamic analysis. To solve this problem, the calculation formula for surface energies was modified to convert the unit of measurement, transforming the non-thermodynamic measurement unit J/m2 into the thermodynamically characterized kJ/mol. The calculated surface energy values measured in kJ/mol are unstable due to the influence of the number of atomic layers (t) in the constructed models. Meanwhile, the problem of determining the surface layer thickness, i.e., the number of atomic layers with surface characteristics (t0), remains unresolved in surface science. Therefore, the extended Finnis Sinclair (EFS) potential was improved by extending the nearest neighbor range and utilized in analyzing the energy per atom, resulting in the determined number of t0. These results suggest that selecting the surface layer number corresponding to the first to third nearest-neighbor atoms could be appropriate, and the resulting surface energies in kJ/mol appear reasonable. The validity of this computational method and the origin of nanoporous W activity were confirmed by analyzing the changes in total surface energy before and after nano-treatment using the novel nanosized approach.
Keywords: first-principles calculations; surface energy; nanoporous W; origin of activity first-principles calculations; surface energy; nanoporous W; origin of activity

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MDPI and ACS Style

Guo, Y.; Wang, K.; Chen, X.; Chen, X.; Wang, Z.; Huang, Y. A Calculation Method for Surface Energies with Thermodynamic Characteristics and Its Application in Investigating Activity Mechanisms for Nanoporous W. Materials 2025, 18, 4895. https://doi.org/10.3390/ma18214895

AMA Style

Guo Y, Wang K, Chen X, Chen X, Wang Z, Huang Y. A Calculation Method for Surface Energies with Thermodynamic Characteristics and Its Application in Investigating Activity Mechanisms for Nanoporous W. Materials. 2025; 18(21):4895. https://doi.org/10.3390/ma18214895

Chicago/Turabian Style

Guo, Yingtong, Kai Wang, Xingyu Chen, Xin Chen, Zumin Wang, and Yuan Huang. 2025. "A Calculation Method for Surface Energies with Thermodynamic Characteristics and Its Application in Investigating Activity Mechanisms for Nanoporous W" Materials 18, no. 21: 4895. https://doi.org/10.3390/ma18214895

APA Style

Guo, Y., Wang, K., Chen, X., Chen, X., Wang, Z., & Huang, Y. (2025). A Calculation Method for Surface Energies with Thermodynamic Characteristics and Its Application in Investigating Activity Mechanisms for Nanoporous W. Materials, 18(21), 4895. https://doi.org/10.3390/ma18214895

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