Novel structures and mechanical properties of Zr2N: Ab initio description under high pressures

doi:10.1088/1674-1056/abb220

Abstract With the formation of structural vacancies, zirconium nitrides (key materials for cutting coatings, super wear-resistance, and thermal barrier coatings) display a variety of compositions and phases featuring both cation and nitrogen enrichment. This study presents a systematic exploration of the stable crystal structures of zirconium heminitride combining the evolutionary algorithm method and ab initio density functional theory calculations at pressures of 0 GPa, 30 GPa, 60 GPa, 90 GPa, 120 GPa, 150 GPa, and 200 GPa. In addition to the previously proposed phases P4₂/mnm-, Pnnm-, and Cmcm-Zr₂N, five new high-pressure Zr₂N phases of P4/nmm, I4/mcm, P2₁/m,

P \bar{3} m 1

, and C2/m are discovered. An enthalpy study of these candidate configurations reveals various structural phase transformations of Zr₂N under pressure. By calculating the elastic constants and phonon dispersion, the mechanical and dynamical stabilities of all predicted structures are examined at ambient and high pressures. To understand the structure-property relationships, the mechanical properties of all Zr₂N compounds are investigated, including the elastic moduli, Vickers hardness, and directional dependence of Young's modulus. The Cmcm-Zr₂N phase is found to belong to the brittle materials and has the highest Vickers hardness (12.9 GPa) among all candidate phases, while the I4/mcm-Zr₂N phase is the most ductile and has the lowest Vickers hardness (2.1 GPa). Furthermore, the electronic mechanism underlying the diverse mechanical behaviors of Zr₂N structures is discussed by analyzing the partial density of states.

Keywords: phase transition phonon dispersion Zr₂N first-principles calculations

Received: 17 August 2020
Revised: 01 January 1900
Accepted manuscript online: 25 August 2020

PACS:	64.60.-i	(General studies of phase transitions)
	63.20.D-	(Phonon states and bands, normal modes, and phonon dispersion)
	81.05.Je	(Ceramics and refractories (including borides, carbides, hydrides, nitrides, oxides, and silicides))
	71.15.Mb	(Density functional theory, local density approximation, gradient and other corrections)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11804057), the National Key R&D Program of China (Grant No. 2017YFB0701500), and the Natural Science Foundation of Guangdong, China (Grant Nos. 2017B030306003 and 2020A1515010862).

Corresponding Authors: ^†Corresponding author. E-mail: hfdong@gdut.edu.cn ^‡Corresponding author. E-mail: cywang@mail.tsinghua.edu.cn

Cite this article:

Minru Wen(文敏儒), Xing Xie(谢兴), Zhixun Xie(谢植勋), Huafeng Dong(董华锋), Xin Zhang(张欣), Fugen Wu(吴福根), and Chong-Yu Wang(王崇愚) Novel structures and mechanical properties of Zr₂N: Ab initio description under high pressures 2021 Chin. Phys. B 30 016403

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Novel structures and mechanical properties of Zr₂N: Ab initio description under high pressures

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