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The hcp-bcc transition of Be via anisotropy of modulus and sound velocity |
Zhen Yang(杨真)1,2, Jia-Wei Xian(咸家伟)2, Xing-Yu Gao(高兴誉)2,†, Fu-Yang Tian(田付阳)1,‡, and Hai-Feng Song(宋海峰)2 |
1 Institute of Applied Physics, University of Science and Technology Beijing, Beijing 100083, China; 2 National Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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Abstract Based on ab initio calculations, we utilize the mean-field potential approach with the quantum modification in conjunction with stress-strain relation to investigate the elastic anisotropies and sound velocities of hcp and bcc Be under high-temperature (0-6000 K) and high-pressure (0-500 GPa) conditions. We propose a general definition of anisotropy for elastic moduli and sound velocities. Results suggest that the elastic anisotropy of Be is more significantly influenced by pressure than by temperature. The pressure-induced increase of $c/a$ ratio makes the anisotropy of hcp Be significantly strengthen. Nevertheless, the hcp Be still exhibits smaller anisotropy than bcc Be in terms of elastic moduli and sound velocities. We suggest that measuring the anisotropy in shear sound velocity may be an approach to distinguishing the hcp-bcc phase transition under extreme conditions.
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Received: 17 May 2024
Revised: 09 August 2024
Accepted manuscript online: 27 August 2024
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PACS:
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64.70.-p
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(Specific phase transitions)
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46.25.Hf
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(Thermoelasticity and electromagnetic elasticity (electroelasticity, magnetoelasticity))
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46.40.-f
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(Vibrations and mechanical waves)
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46.25.Cc
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(Theoretical studies)
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Fund: This work was supported by the National Natural Science Foundation of China (Grant Nos. U23A20537, U2230401, and 52371174) and Funding of National Key Laboratory of Computational Physics. |
Corresponding Authors:
Xing-Yu Gao, Fu-Yang Tian
E-mail: gao_xingyu@iapcm.ac.cn;fuyang@ustb.edu.cn
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Cite this article:
Zhen Yang(杨真), Jia-Wei Xian(咸家伟), Xing-Yu Gao(高兴誉), Fu-Yang Tian(田付阳), and Hai-Feng Song(宋海峰) The hcp-bcc transition of Be via anisotropy of modulus and sound velocity 2024 Chin. Phys. B 33 116401
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[1] Migliori A, Ledbetter H, Thoma D J and Darling T W 2004 J. Appl. Phys. 95 2436 [2] Zheng L F, Wang X G, Yue L N, Xie Y J, Wu B P and Zhong J M 2020 Mater. Sci. Forum. 977 261 [3] Wu C J, Myint P C, Pask J E, Prisbrey C J, Correa A A, Suryanarayana P and Varley J B 2021 J. Phys. Chem. A 125 1610 [4] Lazićki A, Dewaele A, Loubeyre P and Mezouar M 2012 Phys. Rev. B 86 174118 [5] Brown J L, Knudson M D, Alexander C S and Asay J R 2014 J. Appl. Phys. 116 033502 [6] McCoy C A, Knudson M D and Desjarlais M P 2019 Phys. Rev. B 100 054107 [7] Robert G, Legrand P and Bernard S 2010 Phys. Rev. B 82 104118 [8] Xian J W, Yan J, Liu H F, Sun T, Zhang G M, Gao X Y and Song H F 2019 Phys. Rev. B 99 064102 [9] Wu J, González-Cataldo F and Militzer B 2021 Phys. Rev. B 104 014103 [10] Ma Y G, Pang L G, Wang R and Zhou K 2023 Chin. Phys. Lett. 40 122101 [11] Wu J, González-Cataldo F, Soubiran F and Militzer B 2022 J. Phys.: Condens. Matter 34 144003 [12] Lu Y, Sun T, Zhang P, Zhang P, Zhang D B and Wentzcovitch R M 2017 Phys. Rev. Lett. 118 145702 [13] Antonangeli D, Occelli F, Requardt H, Badro J, Fiquet G and Krisch M 2004 Earth Planet. Sci. Lett. 225 243 [14] Belonoshko A B, Skorodumova N V, Rosengren A and Johansson B R 2008 Science 319 797 [15] Luo F, Cai L C, Chen X R, Jing F Q and Alfè D 2012 J. Appl. Phys. 111 053503 [16] Walsh K A 2009 Beryllium Chemistry and Processing (ASM International) [17] Kuksenko V, Roberts S and Tarleton E 2019 Int. J. Plast. 116 62 [18] Kádas K, Vitos L, Johansson B and Kollár J 2007 Phys. Rev. B 75 035132 [19] Anderson O L 1963 J. Phys. Chem. Solids 24 909 [20] Wang Y, Chen D and Zhang X 2000 Phys. Rev. Lett. 84 3220 [21] Wang Y, Ahuja R and Johansson B 2004 Int. J. Quantum Chem. 96 501 [22] Li L and Wang Y 2001 Phys. Rev. B 63 245108 [23] Song H and Liu H 2007 Phys. Rev. B 75 245126 [24] Song H, Tian M, Liu H, Song H and Zhang G 2014 Chin. Phys. Lett. 31 016402 [25] Gao X, Yang Z, Fang J, Xian J, Liu H and Song H A multiphase fast previewer based on mean-field potential approach: Beryllium as a prototype (in preparation) [26] Kresse G and Furthmüller J 1996 Comput. Mater. Sci. 6 15 [27] Jian D, Zhu X, Liu Y, Song H and Lai X 2021 Mater. Rep. 35 1082 (in Chinese) [28] Togo A and Tanaka I 2015 Scr. Mater. 108 1 [29] Mermin N D 1965 Phys. Rev. 137 A1441 [30] Wang Y, Wang J J, Zhang H, Manga V R, Shang S L, Chen L Q and Liu Z K 2010 J. Phys.: Condens. Matter 22 225404 [31] Zener C 1948 Phys. Rev. 74 639 [32] Every A 1980 Phys. Rev. B 22 1746 [33] Ranganathan S I and Ostoja-Starzewski M 2008 Phys. Rev. Lett. 101 055504 [34] Steinle-Neumann G, Stixrude L and Cohen R E 1999 Phys. Rev. B 60 791 [35] Ledbetter H and Migliori A 2006 J. Appl. Phys. 100 063516 [36] Beason M T, Jensen B J and Crockett S D 2021 Phys. Rev. B 104 144106 [37] Marsh S P 1980 LASL Shock Hugoniot Data (University of California Press) 5 p. 21 [38] Tan H 2018 Experimental Shock Wave Physics (Beijing: National Defense Industry Press) p. 177 [39] Mao H K, Shu J, Shen G, Hemley R J, Li B and Singh A K 1998 Nature 396 741 |
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