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Abstract

In this study, we have analysed Laves-phase formation in high-entropy alloys (HEAs). For that purpose, the AlCr _x NbTiV and Al _x CrNbTiVZr (x = 0, 0.5, 1, 1.5) alloys were produced and examined. It was found that the AlNbTiV and AlCr_0.5NbTiV alloys had single-phase body-centred cubic structure, while the other alloys contained Laves phase. Analysis has demonstrated that Laves-phase formation in the produced and in the other HEAs, which are predominantly composed of Al and the elements of 4–6 groups and tend to form body-centred cubic solid solutions, can be predicted by the atomic size mismatch, δ_r, and the Allen electronegativity difference, Δχ_Allen, parameters. It was shown that Laves-phase formation is observed when δ_r > 5.0% and Δχ_Allen > 7.0%.

Keywords

High-entropy alloy Crystal structure Laves phase Phase prediction

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References

Zhang

, Zuo

T. T.

, Tang

, Gao

M. C.

, Dahmen

K. A.

, Liaw

P. K.

and Lu

Z. P.

: ‘Microstructures and properties of high-entropy alloys’, Prog. Mater. Sci., 2014, 61, 1–93. doi: 10.1016/j.pmatsci.2013.10.001

Bhadeshia

H. K. D. H.

: ‘High entropy alloys’, Mater. Sci. Technol., 2015, 31, (10), 1139–1141. doi: 10.1179/0267083615Z.000000000969

Miracle

D. B.

: ‘Critical assessment 14: High entropy alloys and their development as structural materials’, Mater. Sci. Technol., 2015, 31, (10), 1142–1147. doi: 10.1179/1743284714Y.0000000749

Yeh

, Chen

S.-K.

, Lin

S.-J.

, Gan

J.-Y.

, Chin

T.-S.

, Shun

T.-T.

, Tsau

C.-H.

and Chang

S.-Y.

: ‘Nanostructured high-entropy alloys with multiple principle elements: Novel alloy design concepts and outcomes’, Adv. Eng. Mater., 2004, 6, (8), 299–303. doi: 10.1002/adem.200300567

Wang

Y. P.

, Li

B. S.

and Heng

Z. F.

: ‘Solid solution or intermetallics in a high-entropy alloy’, Adv. Eng. Mater., 2009, 11, (8), 641–644. doi: 10.1002/adem.200900057

Singh

, Wanderka

, Murty

B. S.

, Glatzel

and Banhart

: ‘Decomposition in multi-component AlCoCrCuFeNi high-entropy alloy’, Acta Mater., 2011, 59, 182–190. doi: 10.1016/j.actamat.2010.09.023

Shaysultanov

D. G.

, Stepanov

N. D.

, Kuznetsov

A. V.

, Salishchev

G. A.

and Senkov

O. N.

: ‘Phase composition and superplastic behavior of a wrought AlCoCrCuFeNi high-entropy alloy’, JOM, 2013, 35, (12), 1815–1828. doi: 10.1007/s11837-013-0754-5

Otto

, Yang

, Bei

and George

E. P.

: ‘Relative effects of enthalpy and entropy on the phase stability of equiatomic high-entropy alloys’, Acta Mater., 2013, 61, 2628–2638. doi: 10.1016/j.actamat.2013.01.042

Senkov

O. N.

, Senkova

S. V.

, Woodward

and Miracle

D. B.

: ‘Low-density, refractory multi-principal element alloys of the Cr–Nb–Ti–V–Zr system: Microstructure and phase analysis’, Acta Mater., 2013, 61, 1545–1557. doi: 10.1016/j.actamat.2012.11.032

10.

Senkov

O. N.

, Zhang

and Miller

J. D.

: ‘Phase composition of a CrMo_0.5NbTa_0.5TiZr high entropy alloy: Comparison of experimental and simulated data’, Entropy, 2013, 15, 3796–3809. doi: 10.3390/e15093796

11.

Zhang

, Zhou

Y. J.

, Lin

J. P.

, Chen

G. L.

and Liaw

P. K.

: ‘Solid-solution phase formation rules for multi-component alloys’, Adv. Eng. Mater., 2008, 10, (6), 534–538. doi: 10.1002/adem.200700240

12.

Guo

, Ng

, Lu

and Liu

C. T.

: ‘Effect of valence electron concentration on stability of fcc or bcc phase in high entropy alloys’, J. Appl. Phys., 2011, 109, 103 505.

13.

Guo

and Lu

C. T.

: ‘Phase stability in high entropy alloys: Formation of solid-solution phase or amorphous phase’, Prog. Nat. Sci.: Mater. Int., 2011, 21, 433–446. doi: 10.1016/S1002-0071(12)60080-X

14.

Yang

and Zhang

: ‘Prediction of high-entropy stabilized solid-solution in multi-component alloys’, Mater. Chem. Phys., 2012, 132, 233–238. doi: 10.1016/j.matchemphys.2011.11.021

15.

Tsai

M.-H.

, Tsai

K.-Y.

, Tsai

C.-W.

, Lee

, Juan

C.-C.

and Yeh

J.-W.

: ‘Criterion for sigma phase formation in Cr- and V-containing high-entropy alloys’, Mater. Res. Lett., 2013, 1, (4), 207–212. doi: 10.1080/21663831.2013.831382

16.

Salishchev

G. A.

, Tikhonovsky

M. A.

, Shaysultanov

D. G.

, Stepanov

N. D.

, Kuznetsov

A. V.

, Kolodiy

I. V.

, Tortika

A. S.

and Senkov

O. N.

: ‘Effect of Mn and V on structure and mechanical properties of high-entropy alloys based on CoCrFeNi system’, J. Alloys Compd., 2014, 591, 11–21. doi: 10.1016/j.jallcom.2013.12.210

17.

Poletti

M. G.

and Battezzati

: ‘Electronic and thermodynamic criteria for the occurrence of high entropy alloys in metallic systems’, Acta Mater., 2014, 74, 297–306. doi: 10.1016/j.actamat.2014.04.033

18.

Dong

, Lu

, Jiang

, Wang

and Li

: ‘Effects of electro-negativity on the stability of topologically close-packed phase in high entropy alloys’, Intermetallics, 2014, 52, 105–109. doi: 10.1016/j.intermet.2014.04.001

19.

, Dong

, Jiang

, Wang

, Li

and Zhang

: ‘A criterion for topological close-packed phase formation in high entropy alloys’, Entropy, 2015, 17, 2355–2366. doi: 10.3390/e17042355

20.

Singh

A. K.

, Kumar

, Dwivedi

and Subramaniam

: ‘A geometrical parameter for the formation of disordered solid solutions in multi-component alloys’, Intermetallics, 2014, 53, 112–119. doi: 10.1016/j.intermet.2014.04.019

21.

Wang

, Huang

, Yang

, Wang

and Liu

C. T.

: ‘Atomic-size effect and solid solubility of multicomponent alloys’, Scr. Mater., 2015, 94, 28–31. doi: 10.1016/j.scriptamat.2014.09.010

22.

Wang

, Guo

and Liu

C. T.

: ‘Phase selection in high-entropy alloys: From nonequilibrium to equilibrium’, JOM, 2014, 66, (10), 1966–1972. doi: 10.1007/s11837-014-0953-8

23.

Tian

, Varga

L. K.

, Chen

, Shen

and Vitos

: ‘Empirical design of single phase high-entropy alloys with high hardness’, Intermetallics, 2015, 58, 1–6. doi: 10.1016/j.intermet.2014.10.010

24.

Y. F.

, Wang

, Lu

, Liu

C. T.

and Yang

: ‘The generalized thermodynamic rule for phase selection in multicomponent alloys’, Intermetallics, 2015, 59, 75–80. doi: 10.1016/j.intermet.2014.12.011

25.

Hume-Rothery

: ‘The structure of metals and alloys’, 1st edn, 1936, London, Institute of Metals.

26.

Kandavela

, Bhatb

V. V.

, Rougiera

, Aymarda

, Nazrib

G.-A.

and Tarascona

J.-M.

: ‘Improvement of hydrogen storage properties of the AB₂ laves phase alloys for automotive application’, Int. J. Hydrogen Energy, 2008, 33, 3754–3761. doi: 10.1016/j.ijhydene.2008.04.042

27.

Clark

A. E.

: in ‘Ferromagnetic materials’, Vol. 1, (ed. E. P. Wohlfarth), 531; 1980, North Holland, Amsterdam.

28.

Inoue

, Kuroda

and Tachikawa

: ‘Superconducting properties of V₂(Hf, Zr) laves phase multifilamentary wires’, Adv. Cryog. Eng., 1984, 30, 707–714.

29.

Keitz

A. V.

and Sauthoff

: ‘Laves phases for high temperatures – Part II: Stability and mechanical properties’, Intermetallics, 2002, 10, 497–510. doi: 10.1016/S0966-9795(02)00025-0

30.

Stepanov

N. D.

, Yurchenko

N. Y.

, Sokolovsky

V. S.

, Tikhonovsky

M. A.

and Salishchev

G. A.

: ‘An AlNbTiVZr_0.5 high-entropy alloy combining high specific strength and good ductility’, Mater. Lett., 2015, 161, 136–139. doi: 10.1016/j.matlet.2015.08.099

31.

Senkov

O. N.

and Woodward

C. F.

: ‘Microstructure and properties of a refractory NbCrMo_0.5Ta_0.5TiZr alloy’, Mater. Sci. Eng., 2011, A529, 311–320. doi: 10.1016/j.msea.2011.09.033

32.

Senkov

O. N.

, Senkova

S. V.

, Woodwart

and Miracle

D. B.

: ‘Mechanical properties of low-density, refractory multi-principal element alloys of the Cr–Nb–Ti–V–Zr system’, Mater. Sci. Eng. A, 2013, 565, 51–62. doi: 10.1016/j.msea.2012.12.018

33.

Stepanov

N. D.

, Yurchenko

N. Y.

, Shaysultanov

D. G.

, Salishchev

G. A.

and Tikhonovsky

M. A.

: ‘Effect of Al on structure and mechanical properties of Al_xNbTiVZr (x = 0; 0.5; 1; 1.5) high entropy alloys’, Mater. Sci. Technol., 2015, 31, (10), 1184–1193. doi: 10.1179/1743284715Y.0000000032

34.

Stepanov

N. D.

, Yurchenko

N. Y.

, Skibin

D. V.

, Salishchev

G. A.

and Tikhonovsky

M. A.

: ‘Structure and mechanical properties of the AlCr_xNbTiV (x = 0, 0.5, 1, 1.5) high entropy alloys’, J Alloys Compd., 2015, 652, 266–280. doi: 10.1016/j.jallcom.2015.08.224

35.

Senkov

O. N.

, Woodward

and Miracle

D. B.

: ‘Microstructure and properties of Aluminum-containing refractory high-entropy alloys’, JOM, 2014, 66, (10), 2030–2042. doi: 10.1007/s11837-014-1066-0

36.

Stepanov

N. D.

, Shaysultanov

D. G.

, Salishchev

G. A.

and Tikhonovsky

M. A.

: ‘Structure and mechanical properties of a light-weight AlNbTiV high entropy alloy’, Mater. Lett., 2015, 142, 153–155. doi: 10.1016/j.matlet.2014.11.162

37.

Takeuchi

and Inoue

: ‘Mixing enthalpy of liquid phase calculated by Miedema's scheme and approximated with sub-regular solution model for assessing forming ability of amorphous and glassy alloys’, Intermetallics, 2010, 18, 1779–1789. doi: 10.1016/j.intermet.2010.06.003

38.

Stein

, Palm

and Sauthoff

: ‘Structure and stability of Laves phases. Part I. Critical assessment of factors controlling Laves phase stability’, Intermetallics, 2004, 12, 713–720. doi: 10.1016/j.intermet.2004.02.010

39.

, Li

, Xue

and Fu

: ‘Microstructure characterization and mechanical properties of a Laves-phase alloy based on Cr₂Nb’, Int. J. Refract. Met. Hard Mater., 2013, 36, 154–161. doi: 10.1016/j.ijrmhm.2012.08.009

40.

Chen

K. C.

, Allen

S. M.

and Livingston

J. D.

: ‘Factors affecting the room-temperature mechanical properties of TiCr₂-base Laves phase alloys’, Mater. Sci. Eng., 1998, A242, (1–2), 162–173. doi: 10.1016/S0921-5093(97)00526-1

41.

Bhowmik

, Neumeier

, Barnard

J. S.

, Zenk

C. H.

, Göken

, Rae

C. M. F.

and Stone

H. J.

: ‘Microstructure and mechanical properties of Cr–Ta–Si Laves phase based alloys at elevated temperatures’, Philos. Mag., 2014, 94, (34), 3914–3944. doi: 10.1080/14786435.2014.971086

42.

Luzzi

D. E.

, Rao

, Dobbins

T. A.

and Pope

D. P.

: ‘Deformation twinning at low temperatures in a Hf-V-Nb cubic Laves phase’, Acta Mater., 1998, 46, (8), 2913–2927. doi: 10.1016/S1359-6454(97)00418-7

43.

Kotula

P. G.

, Carter

C. B.

, Chen

K. C.

, Thoma

D. J.

, Chu

and Mitchell

T. E.

: ‘Defects and site occupancies in Nb–Cr–Ti C15 Laves phase alloys’, Scr. Mater., 1998, 39, (4–5), 619–623. doi: 10.1016/S1359-6462(98)00205-X

44.

Zhang

Q. A.

, Lei

Y. Q.

, Wang

C. S.

, Wang

F. S.

and Wang

Q. D.

: ‘Structure of the secondary phase and its effects on hydrogen-storage properties in a Ti_0.7Zr_0.2V_0.1Ni alloy’, J. Power Sources, 1998, 75, 288–291. doi: 10.1016/S0378-7753(98)00112-8

45.

Gesar

S. B.

, Pronsato

M. E.

, Visintin

and Juan

: ‘Hydrogen storage in AB₂ Laves phase (A = Zr, Ti; B = Ni, Mn, Cr, V): Binding energy and electronic structure’, J. Phys. Chem. C, 2010, 114, (39), 16 832–16 836.

46.

Khmelevskyi

and Mohn

: ‘Laves-phase (Zr,Nb)Fe₂ alloys as model Invar systems without magnetic frustration: Comparison to Fe–Ni Invar’, Phys. Rev., 2010, B82, 134 402.

47.

Banerjee

, Kumar

and Pillai

C. G. S.

: ‘Improvement on the hydrogen storage properties of ZrFe₂ Laves phase alloy by vanadium substitution’, Intermetallics, 2014, 51, 30–36. doi: 10.1016/j.intermet.2014.02.015

48.

, Wu

, Ma

, Sun

and Chen

: ‘Hydrogen storage properties of Ti_1−xSc_xMnCr Laves phase alloys’, Int. J. Energy Res., 2013, 37, 686–697. doi: 10.1002/er.2971

49.

Shun

T. T.

, Chang

L. Y.

and Shiu

M. H.

: ‘Microstructures and mechanical properties of multiprincipal component CoCrFeNiTi_x alloys’, Mater. Sci. Eng. A, 2012, 556, 170–174. doi: 10.1016/j.msea.2012.06.075

50.

, Wang

, Cheng

, Wang

, Li

, Dang

, Wang

and Liu

C. T.

: ‘Designing eutectic high entropy alloys of CoCrFeNiNb_x’, J. Alloys Compd., 2016, 656, 284–289. doi: 10.1016/j.jallcom.2015.09.153

Laves-phase formation criterion for high-entropy alloys

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