Abstract
The electronic structures of the carbides such as VC, WC, V2C, Mo2C, Cr7C3 and Cr23C6 in Fe-based multi-elements alloy were investigated by first principles. According to the bonding characteristics, the different models were adopted to predict the hardness of these carbides, then, which were compared with experimental. The results show that VC, WC, V2C, Mo2C, Cr7C3 and Cr23C6 are all strong covalent solids and a small metallicity, as well as the contribution of d valence electrons to s-p-d hybridization. Their hardness are 25.80 GPa, 24.28 GPa, 11.52 GPa, 17.06 GPa, 15.07 GPa and 12.78 GPa respectively, which are good agreement with experimental.
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J. Pasco, Y. Tian, K. Chadha, J. Lu, T. Dorin, C.A. Aranas Jr., Unusual interface phase transformation during continuous additive manufacturing of maraging steel and Co–30Cr–7Mo alloy. Mater. Sci. Eng. A 881, 145336 (2023). https://doi.org/10.1016/j.msea.2023.145336
A.S. Chaus, O.G. Devoino, M. Sahul, Ľ Vančo, I. Buranský, M. Kusý, Effect of surface roughness on laser surface alloying of additively manufactured 17–4PH stainless steel. Surf. Coat. Tech. 454, 129161 (2023). https://doi.org/10.1016/j.surfcoat.2022.129161
J.B. Niu, M.W. Qureshi, Z.F. Ding, X.X. Ma, Y. He, Effect of nitriding on the transformation of alloy carbides (VC and Mo2C) in 8Cr4Mo4V steel. Appl. Surf. Sci. 610, 155561 (2023). https://doi.org/10.1016/j.apsusc.2022.155561
D. Zhang, T.P. Hou, X. Liang, P. Zheng, W.D. Luo, H.F. Lin, X.H. Xiao, K.M. Wu, Insights into the assessment of the magnetic-field-induced precipitation behavior of alloy carbides M7C3 in steels. Mater. Des. 221, 111023 (2022). https://doi.org/10.1016/j.matdes.2022.111023
Z. Li, X. Long, S.Y. Zhang, H.W. Deng, M. Zhang, T. Zhang, Ultrasonic provoked network-like intragrain carbide precipitations strengthen and ductilize a C-doped CoCrNi medium entropy alloy. Scr. Mater. 235, 115633 (2023). https://doi.org/10.1016/j.scriptamat.2023.115633
F.M. Gao, J.L. He, E.D. Wu, S.M. Liu, D.L. Yu, D.C. Li, Hardness of covalent crystals. Phys. Rev. Lett. 91, 015502 (2003). https://doi.org/10.1103/PhysRevLett.91.015502
A. Šimůnek, J. Vackář, Hardness of covalent and ionic crystals: First-principle calculations. Phys. Rev. Lett. 96, 085501 (2006). https://doi.org/10.1103/PhysRevLett.96.085501
F.M. Gao, Theoretical model of intrinsic hardness. Phys. Rev. B 73, 132104 (2006). https://doi.org/10.1103/PhysRevB.73.132104
K.Y. Li, X.T. Wang, F.F. Zhang, D.F. Xue, Electonegativity identification of novel superhard materials. Phys. Rev. Lett. 100, 235504 (2008). https://doi.org/10.1103/PhysRevLett.100.235504
X.J. Guo, L. Li, Z.Y. Liu, D.L. Yu, J.L. He, R.P. Liu, B. Xu, Y.J. Tian, Hardness of covalent compounds: Roles of metallic component and d valence electrons. J. Appl. Phys. 104, 023503 (2008). https://doi.org/10.1063/1.2956594
X.Q. Chen, H.Y. Niu, D.Z. Li, Y.Y. Li, Modeling hardness of polycrystalline materials and bulk metallic glasses. Intermetallics 19, 1275 (2011). https://doi.org/10.1016/j.intermet.2011.03.026
H. Li, L.T. Zhang, Q.F. Zeng, K. Guan, K.Y. Li, H.T. Ren, Structural, elastic and electronic properties of transition metal carbides TMC (TM=Ti, Zr, Hf and Ta) from first-principles calculations. Solid State Commun. 151, 602 (2011). https://doi.org/10.1016/j.ssc.2011.02.005
Y.F. Zhang, J.Q. Li, L.X. Zhou, S.C. Xiang, First-principle calculations of the bulk properties of 4d transition metal carbides and nitrides in the rocksalt, zincblende and wurtzite structures. Solid State Commun. 121, 411 (2002). https://doi.org/10.1016/j.diamond.2010.11.021
J. Guo, L.G. Liu, Q. Li, Y.L. Sun, Y.K. Gao, X.J. Ren, Q.X. Yang, Characterization on carbide of a novel steel for cold work roll during solidification process. Mater. Charact. 79, 100–104 (2013). https://doi.org/10.1016/j.matchar.2013.02.011
L.A. Dobrzanski, Melting and crystallization behavior of W-V-Si high-speed steels. Steel Res. Int. 57, 37–41 (1986). https://doi.org/10.1002/srin.198600718
X.J. Guo, J.L. He, Z.Y. Liu, Y.J. Tian, J. Sun, H.T. Wang, Bond ionicities and hardness of B13C2-like structured ByX crystals (X=C, N, O, P, As). Phys. Rev. B 73, 104115 (2006). https://doi.org/10.1103/PhysRevB.73.104115
J.L. He, E.D. Wu, H.T. Wang, R.P. Liu, Y.J. Tian, Ionicities of Boron-Boron Bonds in B12 icosahedra. Phys. Rev. Lett. 94, 015504 (2005)
L.L. Wu, T.K. Yao, Y.C. Wang, J.W. Zhang, F.R. Xiao, B. Liao, Understanding the mechanical properties of vanadium carbides: Nano-indentation measurement and first-principles calculations. J. Alloy. Compd. 548, 60–64 (2013). https://doi.org/10.1016/j.jallcom.2012.09.014
Y.F. Li, Y.M. Gao, B. Xiao, T. Min, Z.J. Fan, S.Q. Ma, Theoretical study on the stability, elasticity, hardness and electronic structures of W-C binary compounds. J. Alloys Compd. 502, 28–32 (2010). https://doi.org/10.1016/j.jallcom.2010.04.184
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This work was sponsored by Program for National Natural Science Foundation of China (51771167) and (51471148) and the Royal Society International Exchange Program.
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Lu, J., Guo, J., Shi, C. et al. Hardness prediction of the carbides in Fe-based multi-elements alloy by first-principles. MRS Communications 13, 1315–1319 (2023). https://doi.org/10.1557/s43579-023-00458-8
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DOI: https://doi.org/10.1557/s43579-023-00458-8