Electronic structure calculation of Cr content effect on corrosion resistance of Ti-Nb-Cr alloy

Cheng Chao; Wang Xun; Sun Jia-Xing; Cao Chao-Ming; Ma Yun-Li; Liu Yan-Xia

doi:10.7498/aps.67.20180956

Abstract

Ti-based alloys are widely used in aerospace and medical engineering because of their excellent properties, such as good fracture toughness, high strength, good corrosion resistance, etc. However, the corrosion resistance performance of the alloys is not adequate to meet the requirements in many cases. The Ti-Cr-Nb ternary alloy system exhibits many excellent characteristics, especially the anti-corrosion ability, making it a very promising candidate for the applications in aerospace and medical engineering. The alloying element Cr can improve the corrosion resistance of Ti-based alloys as reported by many experiments. In order to understand and then predict the effect of Cr content on Ti-Nb-Cr alloy, the electronic structures, such as the cohesive energies, the formation energies, the Fermi levels and the densities of states (DOSs) of the Ti-Nb-Cr alloys with different Cr content of the alloys, are calculated by first-principles method. The calculations in this paper are carried out by VASP (Vienna ab-initio simulation package) software package, which is based on the density functional theory. The generalized gradient approximation is selected to deal with the exchange correlation energy of electrons. And the special k-point sample of the Monkhorst-Pack type is used in the Brillouin-zone integration. The effects of Cr content on the electronic stability and corrosion resistance of the alloy are discussed. In this paper, the Ti-25 at.%Nb alloy with the stable β-phase is a matrix material, and Ti12Nb4 supercell model is adopted, in which 1 to 4 Ti atoms are replaced by the Cr atoms, respectively. In energetics, the sequence of the cohesive capacity of the system is as follows:Ti12Nb4 11Nb4Cr1 10Nb4Cr2 9Nb4Cr3 8Nb4Cr4, showing that the stability of the structure decreases with Cr content increasing. While the formation energy of the system energy shows a gradual increase trend with the increase of Cr, indicating that the formation of the system becomes gradually difficult when adding more Cr atoms. The Fermi level of the ternary alloy system containing Cr element is much lower than that of Ti12Nb4 alloy and tends to decrease slightly with the increase of Cr content. That means that with increasing the Cr content, the alloy system is not easy to lose electrons, and thus the corrosion resistance is improved. And when the Cr content is around 18.75 at.%, there should be an optimal Cr concentration for corrosion resistance. The differential charge density diagrams show that with the increase of Cr content, the covalent bonding of the system is weakened, while the metal bonding is strengthened, which makes the electronic structure of the system more stable and thus the corrosion resistance is improved. The DOS shows that the Fermi level is not zero, indicating the metallic behavior of the alloy. With the increase of Cr content in the alloy system, the pseudo-energy gap gradually disappears, indicating that the structural stability of the system decreases accordingly, which is consistent with the calculation result of the density of states. The maximum value of the DOS diagram is shifted toward the lower energy level area, showing that the stability of the electronic structure of the system is improved so that the corrosion resistance of the alloy is enhanced. And the maximum value of the DOS also shows that when the Cr content is around 18.75 at.%, there is an optimal Cr concentration for corrosion resistance.

Keywords:

Authors and contacts

1.
College of Physics, Liaoning University, Shenyang 110036, China;
2.
College of Science, Shenyang Jianzhu University, Shenyang 110168, China

Corresponding author: Liu Yan-Xia, ldlyx@163.com

Funds: Project supported by the National Key Research and Development Program of China (Grant No. 2016YFB0701304).

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[35]	Zhang G Y, Zhang H, Zhao Z F, Li Y C 2006 Acta Phys. Sin. 55 2439 (in Chinese) [张国英, 张辉, 赵子夫, 李昱材 2006 物理学报 55 2439]
[36]	Djemia P, Benhamida M, Bouamama K, Belliard L, Faurie D, Abadias G 2013 Surf. Coat. Technol. 215 199
[37]	Subramanian V, Wolf E E, Kamat P V 2004 J. Am. Chem. Soc. 126 4943
[38]	Chen W Z, Li Q, Jiang Z Y, Zhang X D, Si L, Li L S, Wu R 2012 Physica B 407 2744
[39]	Shao P, Ding L P, Luo D B, Cai J T, Lu C, Huang X F 2017 J. Alloys Compd. 695 3024
[40]	Wu J Y, Zhang B, Zhan Y Z 2017 J. Phys. Chem. Solids 104 207
[41]	Peng S, Wu M Q, Wang X F, Zhang S R, He M 2010 Mater. Rev. 24 73 (in Chinese) [彭森, 吴孟强, 王秀锋, 张树人, 何茗 2010 材料导报 24 73]
[42]	Yu R, He L L, Ye H Q 2002 Phys. Rev. B 65 184102

Cited By

[1]	Abdelhady M, Hinoshita K, Fuwa H, Murata Y, Morinaga M 2008 Mater. Sci. Eng. A 480 167
[2]	Zhao X L, Niinomi M, Nakai M, Ishimoto T, Nakano T 2011 Mater. Sci. Eng. C 31 1436
[3]	Ozan S, Lin J, Li Y, Ipek R, Wen C 2015 Acta Biomater. 20 176
[4]	Zhang L C, Lu H B, Mickel C, Eckert J 2007 Appl. Phys. Lett. 91 051906
[5]	Li Y H, Yang C, Zhao H D, Qu S G, Li X Q, Li Y Y 2014 Materials 7 1709
[6]	Fleischer R L, Zabala R J 1990 Metall. Trans. A 21 2149
[7]	Chan K S 2005 Philos. Mag. 85 239
[8]	Xue Y L, Li S M, Zhong H, Li K W, Fu H Z 2016 J. Alloys Compd. 684 403
[9]	Fujiwara M, Takanashi K, Satou M, Hasegawa A, Abe K, Kakiuchi K, Furuya T 2004 J. Nucl. Mater. 329-333 452
[10]	Yu Y J, Kim J G 2002 Mater. Sci. Eng. A 332 140
[11]	Takemoto S, Hattori M, Yoshinari M, Kawada E, Asami K, Oda Y 2009 Dent. Mater. 25 467
[12]	Xue Y L, Li S M, Li K W, Zhong H, Fu H Z 2015 Mater. Chem. Phys. 167 119
[13]	Slokar L, Matković T, Matković P 2012 Mater. Des. 33 26
[14]	Thoma D J, Perepezko J H 1995 Annual Meeting and Exhibition of the Minerals, Metals and Materials Society (TMS) Las Vegas, Nevada (United States) February 12-16, 1995 p226
[15]	Dong X K, Li S M, Li K W, Xue Y L, Fu H Z 2012 Foundry 61 592 (in Chinese) [董旭坤, 李双明, 李克伟, 薛云龙, 傅恒志 2012 铸造 61 592]
[16]	Davidson D L, Chan K S, Anton D L 1996 Metall. Mater. Trans. A 27 3007
[17]	Yao Q, Xing H, Guo W Y, Sun J 2008 Chin. J. Nonferrous Met. 18 126 (in Chinese) [姚强, 刑辉, 郭文渊, 孙坚 2008 中国有色金属学报 18 126]
[18]	Moreno J J G, Bönisch M, Panagiotopoulos N T, Calin M, Papageorgiou D G, Gebert A, Eckert J, Evangelakis G A, Lekka C E 2017 J. Alloys Compd. 696 481
[19]	Karre R, Niranjan M K, Dey S R 2015 Mater. Sci. Eng. C 50 52
[20]	Marlo M, Milman V 2000 Phys. Rev. B 62 2899
[21]	Kresse G, Hafner J 1993 Phys. Rev. B 47 558
[22]	Kresse G, Furthmller J 1996 Phys. Rev. B 54 11169
[23]	Perdew J P, Chevary J A, Vosko S H, Jackson K A, Pederson M R, Singh D J, Fiolhais C 1992 Phys. Rev. B 46 6671
[24]	Monkhorst H J, Pack J D 1976 Phys. Rev. B 13 5188
[25]	Wang W J, Liu Z L, Liu X Q, Zhang Z D, Wang Q D 2014 Chin. J. Nonferrous Met. 24 343 (in Chinese) [王文静, 刘子利, 刘希琴, 张志东, 王渠东 2014 中国有色金属学报 24 343]
[26]	Chen G, Zhang P 2013 Def. Technol. 9 131
[27]	Liu S Y 2015 M. S. Dissertation (Shenyang:Liaoning University) (in Chinese) [刘思扬 2015 硕士学位论文 (沈阳:辽宁大学)]
[28]	Kittel C 1976 Introduction to Solid State Physics (5th Ed.) (New York:John Wiley and Sons,Inc) pp547-548
[29]	Sari A, Merad G, Abdelkader H S 2015 Comput. Mater. Sci. 96 348
[30]	Zubov V I, Tretiakov N P, Rabelo J N T, Ortiz J F S 1995 Phys. Lett. A 194 223
[31]	Song Y, Guo Z X, Yang R, Li D 2001 Acta Mater. 49 1647
[32]	Zhang G Y, Zhang H, Fang G L, Yang L N 2009 Acta Metall. Sin. 45 687 (in Chinese) [张国英, 张辉, 方戈亮, 杨丽娜 2009 金属学报 45 687]
[33]	Duan Y H, Sun Y, He J H, Peng M J, Guo Z Z 2012 Acta Phys. Sin. 61 046101 (in Chinese) [段永华, 孙勇, 何建洪, 彭明军, 郭中正 2012 物理学报 61 046101]
[34]	Zhang G Y, Yang L N, Zhang H, Wu J J 2010 Acta Phys. Sin. 59 2022 (in Chinese) [张国英, 杨丽娜, 张辉, 吴建军 2010 物理学报 59 2022]
[35]	Zhang G Y, Zhang H, Zhao Z F, Li Y C 2006 Acta Phys. Sin. 55 2439 (in Chinese) [张国英, 张辉, 赵子夫, 李昱材 2006 物理学报 55 2439]
[36]	Djemia P, Benhamida M, Bouamama K, Belliard L, Faurie D, Abadias G 2013 Surf. Coat. Technol. 215 199
[37]	Subramanian V, Wolf E E, Kamat P V 2004 J. Am. Chem. Soc. 126 4943
[38]	Chen W Z, Li Q, Jiang Z Y, Zhang X D, Si L, Li L S, Wu R 2012 Physica B 407 2744
[39]	Shao P, Ding L P, Luo D B, Cai J T, Lu C, Huang X F 2017 J. Alloys Compd. 695 3024
[40]	Wu J Y, Zhang B, Zhan Y Z 2017 J. Phys. Chem. Solids 104 207
[41]	Peng S, Wu M Q, Wang X F, Zhang S R, He M 2010 Mater. Rev. 24 73 (in Chinese) [彭森, 吴孟强, 王秀锋, 张树人, 何茗 2010 材料导报 24 73]
[42]	Yu R, He L L, Ye H Q 2002 Phys. Rev. B 65 184102

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