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Chin. Phys. B, 2026, Vol. 35(3): 036102    DOI: 10.1088/1674-1056/ae306f
SPECIAL TOPIC — Structures and properties of materials under high pressure Prev   Next  

Structural stability and mechanical properties of NixMoyN ternary nitrides under high pressure: A first-principles study

Tao Wang(王涛), Ming-Hong Wen(温铭洪), Kai-Xuan Wang(王凯璇), Jia-Mei Liu(刘佳美), Wei-Hua Wang(王伟华), Xu-Ying Wang(王旭颖), and Pei-Fang Li(李培芳)
Extreme Conditions Physics Research Team, College of Physics and Electronic Information, Inner Mongolia Minzu University, Tongliao 028043, China
Abstract  Transition metal nitrides have attracted significant attention due to their outstanding properties; however, studies on ternary systems under high pressure remain limited. In this work, we systematically investigated the structures and properties of NiMoN compounds in the pressure range of 0-100 GPa by combining crystal structure analysis by particle swarm optimization (CALYPSO) structure prediction with first-principles calculations. To explore more structural possibilities, a large number of candidate structures were predicted and those with potential stability were selected. Among the newly predicted structures, a stable phase $P$2$_{1}$3-NiMo$_{4}$N and a low-energy metastable phase $I$4$_{1}$32-NiMo$_{3}$N are proposed for the first time. The metastable structure $I$4$_{1}$32-NiMo$_{3}$N lies 0.007 eV/atom above the convex hull, whereas the energy of the experimentally synthesized structure \textit{Fd}3$m$-Ni$_{3}$Mo$_{3}$N is 0.036 eV/atom above the convex hull. Therefore, $I$4$_{1}$32-NiMo$_{3}$N can likely be obtained through experimental synthesis. Phonon and elastic constant calculations confirm the stability of $P$2$_{1}$3-NiMo$_{4}$N and $I$4$_{1}$32-NiMo$_{3}$N, while electronic structure calculations indicate that both exhibit metallic behavior, with Mo-4d orbitals making the primary contribution at the Fermi level. Mechanical property evaluations reveal that $P$2$_{1}$3-NiMo$_{4}$N exhibits high hardness, whereas $I$4$_{1}$32-NiMo$_{3}$N shows relatively lower hardness but enhanced ductility. Under different pressures, both structures exhibit comparable ideal tensile strengths, but their failure mechanisms differ. This study broadens the known structural diversity of NiMoN ternary nitrides and provides theoretical insights into the exploration of high-pressure ternary nitrides.
Keywords:  ternary nitride      crystal structure      CALYPSO      high pressure  
Received:  23 November 2025      Revised:  16 December 2025      Accepted manuscript online:  23 December 2025
PACS:  61.50.Ks (Crystallographic aspects of phase transformations; pressure effects)  
  62.20.de (Elastic moduli)  
  71.20.-b (Electron density of states and band structure of crystalline solids)  
Fund: This work was supported by the National Natural Science Foundation of China (Grant No. 11964026), the Natural Science Foundation of Inner Mongolia Autonomous Region of China (Grant Nos. 2019MS01010 and 2023LHMS01014), the Higher Educational Scientific Research Projects of Inner Mongolia Autonomous Region of China (Grant Nos. NJZZ19145 and NJZZ22470), the Doctoral Starting-up Foundation of Inner Mongolia Minzu University of Science and Technology (Grant No. BSZ023), the Inner Mongolia Autonomous Region Youth Capacity Improvement Project (Grant No. GXKY22157), the Higher Physics Major Teaching Steering Committee of the Ministry of Education Project (Grant No. JZW-23-GT-21), and the Scientific Research Fund of Inner Mongolia Autonomous Region of China (Grant No. GXKY25Z050).
Corresponding Authors:  Pei-Fang Li     E-mail:  lipeifang82@163.com

Cite this article: 

Tao Wang(王涛), Ming-Hong Wen(温铭洪), Kai-Xuan Wang(王凯璇), Jia-Mei Liu(刘佳美), Wei-Hua Wang(王伟华), Xu-Ying Wang(王旭颖), and Pei-Fang Li(李培芳) Structural stability and mechanical properties of NixMoyN ternary nitrides under high pressure: A first-principles study 2026 Chin. Phys. B 35 036102

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