Investigating the Al-Cr-La ternary system: Al-rich corner phase equilibria at 600 °C
Abstract
The phase equilibria of the ternary Al-Cr-La system were investigated in the Al-rich corner at 600 °C, with a minimum Al content of 98.77 at.%. The formed phases, transformation temperatures (specifically liquidus and solidus), and microstructure evolution were experimentally determined by isothermal annealing at 600 °C for 600 hours and by Differential Scanning Calorimetry (DSC) analysis. A Scanning Electron Microscope (SEM) equipped with Energy-Dispersive X-ray Spectroscopy (EDXS) was used to fully characterize the samples. The equilibrium microstructure consists of (Al), the binary phase Al45Cr7, and the ternary phase LaCr2Al20 in samples with increased Cr content (from 0.03 up to 1.12 at.%), while it consists of (Al), the mixture (Al) + Al11La3, and the ternary LaCr2Al20 phase in samples with increased La content (from 0.03 up to 0.45 at.%). It was observed that even a small amount of alloying elements leads to the formation of the ternary phase.
References
J.R. Davis, Alloying: Understanding the Basics, 1st ed., ASM International, Materials Park, OH, 2001, p.647.
S.D. Cramer, B.S. Covino Jr, ASM Handbook Volume 13B: Corrosion: Materials, ASM International, Materials Park, OH, 2005, p.704.
J.G. Kaufman, Introduction to Aluminium Alloys and Tempers, ASM International, Materials Park, OH, 2000, p.242.
E.L. Persson, Aluminum Alloys: Preparation, Properties and Applications, Nova Science Publishers, Incorporated, 2011, p.239.
G.E. Totten, M. Tiryakioğlu, O. Kessler, eds., Encyclopedia of aluminum and its alloys, CRC Press, Taylor & Francis Group, Boca Raton, London, New York, 2019, p.2892.
B. Stojanovic, М. Bukvic, I. Epler, Application of aluminum and aluminum alloys in engineering, Applied Engineering Letters, 3 (2) (2018) 52–62. https://doi.org/10.18485/aeletters.2018.3.2.2
M.-N. Su, B. Young, L. Gardner, The continuous strength method for the design of aluminium alloy structural elements, Engineering Structures, 122 (2016) 338–348. https://doi.org/10.1016/j.engstruct.2016.04.040
E. Georgantzia, M. Gkantou, G.S. Kamaris, Aluminium alloys as structural material: A review of research, Engineering Structures, 227 (2021) 111372. https://doi.org/10.1016/j.engstruct.2020.111372
D. Bhattacharjee, S. Chakrabarti, Future landscape of structural materials in India, Springer Nature Singapore, Singapore, 2022, p.353.
W. Zhang, J. Xu, Advanced lightweight materials for Automobiles: A review, Materials & Design, 221 (2022) 110994. https://doi.org/10.1016/j.matdes.2022.110994
A.W. Orłowicz, M. Mróz, M. Tupaj, A. Trytek, Materials used in the automotive industry, Archives of Foundry Engineering, 15 (2015) 75–78. https://doi.org/10.1515/afe-2015-0042
J. Hirsch, Aluminium alloys for automotive application, Materials Science Forum, 242 (1997) 33– 50. https://doi.org/10.4028/www.scientific.net/MSF.242.3 3
T.P. Hovorun, K.V. Berladir, V.I. Pererva, S.G. Rudenko, A.I. Martynov, Modern materials for automotive industry, Journal of Engineering Sciences, 4 (2) (2017) f8–f18. https://doi.org/10.21272/jes.2017.4(2).f8
T. Trzepieciński, S.M. Najm, Current trends in metallic materials for body panels and structural members used in the automotive industry, Materials (Basel), 17 (3) (2024) 590. https://doi.org/10.3390/ma17030590
W. Miller, L. Zhuang, J. Bottema, A. Wittebrood, P. De Smet, A. Haszler, A. Vieregge, Recent development in aluminium alloys for the automotive industry, Materials Science and Engineering: A, 280 (1) (2000) 37–49. https://doi.org/10.1016/S0921-5093(99)00653-X
K. Sivanur, K.V. Umananda, D. Pai, Advanced materials used in automotive industry-a review, in: AIP Conference Proceedings, 2021: p.020032. https://doi.org/10.1063/5.0036149
A. Cascino, E. Meli, A. Rindi, A strategy for lightweight designing of a railway vehicle car body including composite material and dynamic structural optimization, Railway Engineering Science, 31 (2023) 340–350. https://doi.org/10.1007/s40534-023-00312-6
R. Soni, R. Verma, R. Kumar Garg, V. Sharma, A critical review of recent advances in the aerospace materials, Materials Today: Proceedings, 113 (2024) 180–184. https://doi.org/10.1016/j.matpr.2023.08.108
J. Singh, K. Srivastawa, S. Jana, C. Dixit, R. S, Advancements in lightweight materials for aerospace structures: A comprehensive review, Acceleron Aerospace Journal, 2 (3) (2024) 173–183. https://doi.org/10.61359/11.2106-2409
J.C. Williams, E.A. Starke, Progress in structural materials for aerospace systems, Acta Materialia, 51 (19) (2003) 5775–5799. https://doi.org/10.1016/j.actamat.2003.08.023
A. Ajanovic, R. Haas, The impact of energy policies in scenarios on GHG emission reduction in passenger car mobility in the EU-15, Renewable and Sustainable Energy Reviews, 68 (2017) 1088–1096. https://doi.org/10.1016/j.rser.2016.02.013
C. Lodi, A. Seitsonen, E. Paffumi, M. De Gennaro, T. Huld, S. Malfettani, Reducing CO2 emissions of conventional fuel cars by vehicle photovoltaic roofs, Transportation Research Part D: Transport and Environment, 59 (2018) 313–324. https://doi.org/10.1016/j.trd.2018.01.020
G. Fontaras, P. Dilara, The evolution of European passenger car characteristics 2000-2010 and its effects on real-world CO2 emissions and CO2 reduction policy, Energy Policy, 49 (2012) 719–730. https://doi.org/10.1016/j.enpol.2012.07.021
Y. Kazancoglu, M. Ozbiltekin-Pala, Y.D. Ozkan-Ozen, Prediction and evaluation of greenhouse gas emissions for sustainable road transport within Europe, Sustainable Cities and Society, 70 (2021) 102924. https://doi.org/10.1016/j.scs.2021.102924
European Commission: Directorate-General for Mobility and Transport, EU transport in figures – Statistical pocketbook 2017, Publications Office, Luxembourg, 2017. https://doi.org/10.2832/041248
T. Haas, H. Sander, Decarbonizing transport in the European union: Emission performance standards and the perspectives for a European green deal, Sustainability, 12 (20) (2020) 8381. https://doi.org/10.3390/su12208381
S. Tsiakmakis, G. Fontaras, B. Ciuffo, Z. Samaras, A simulation-based methodology for quantifying European passenger car fleet CO2 emissions, Applied Energy, 199 (2017) 447–465. https://doi.org/10.1016/j.apenergy.2017.04.045
T. Hottle, C. Caffrey, J. McDonald, R. Dodder, Critical factors affecting life cycle assessments of material choice for vehicle mass reduction, Transportation Research Part D: Transport and Environment, 56 (2017) 241–257. https://doi.org/10.1016/j.trd.2017.08.010
Y. Xu, Z. Peng, D. Ding, W. Zhang, Y. Gao, G. Chen, Y. Xie, Y. Liao, Effect of La addition on microstructure and properties of Al-0.2Fe-0.06Cu alloy, Metals (Basel), 12 (2) (2022). https://doi.org/10.3390/met12020211
M. Hosseinifar, D.V. Malakhov, Effect of Ce and La on microstructure and properties of a 6xxx series type aluminum alloy, Journal of Materials Science, 43 (2008) 7157–7164. https://doi.org/10.1007/s10853-008-3022-2
H. Jiang, S. Li, L. Zhang, J. He, Q. Zheng, Y. Song, Y. Li, J. Zhao, The influence of rare earth element lanthanum on the microstructures and properties of ascast 8176 (Al-0.5Fe) aluminum alloy, Journal of Alloys and Compounds, 859 (2021) 157804. https://doi.org/10.1016/j.jallcom.2020.157804
W.H. Yuan, B.L. An, Effect of La addition on the microstructures and mechanical properties of 7075 aluminum alloy, Advanced Materials Research, 152– 153 (2011) 1810–1813. https://doi.org/10.4028/www.scientific.net/AMR.152- 153.1810
Q. Li, T. Xia, Y. Lan, W. Zhao, L. Fan, P. Li, Effect of rare earth cerium addition on the microstructure and tensile properties of hypereutectic Al-20%Si alloy, Journal of Alloys and Compounds, 562 (2013) 25–32. https://doi.org/10.1016/j.jallcom.2013.02.016
A.E. Medvedev, M.Y. Murashkin, N.A. Enikeev, R.Z. Valiev, P.D. Hodgson, R. Lapovok, Enhancement of mechanical and electrical properties of Al-RE alloys by optimizing rare-earth concentration and thermomechanical treatment, Journal of Alloys and Compounds, 745 (2018) 696–704. https://doi.org/10.1016/j.jallcom.2018.02.247
R. Pérez-Bustamante, A. Reyna-Cruz, D.C. Acosta- Peña, C.R. Santillán-Rodríguez, J.A. Matutes-Aquino, F. Pérez-Bustamante, M.C. Maldonado-Orozco, J. Aguilar-Santillán, R. Martínez-Sánchez, Effect of cerium/lanthanum addition on microstructure and mechanical properties of Al7075 alloy via mechanical alloying and sintering, Journal of Rare Earths, 34 (4) (2016) 420–427. https://doi.org/10.1016/S1002-0721(16)60043-1
P. Tang, W. Li, Y. Zhao, K. Wang, W. Li, F. Zhan, Influence of strontium and lanthanum simultaneous addition on microstructure and mechanical properties of the secondary Al-Si-Cu-Fe alloy, Journal of Rare Earths, 35 (5) (2017) 485–493. https://doi.org/10.1016/S1002-0721(17)60938-4
E.A. De La Torre, R. Pérez-Bustamante, J. Camarillo- Cisneros, C.D. Gómez-Esparza, H.M. Medrano-Prieto, R. Martínez-Sánchez, Mechanical properties of the A356 aluminum alloy modified with La/Ce, Journal of Rare Earths, 31 (8) (2013) 811–816. https://doi.org/10.1016/S1002-0721(12)60363-9
T. Balaško, A. Nagode, J. Li, J. Medved, Microstructure evolution during solution annealing of an Al–Zn–Mg–Cu alloy with La additions, Scientific Reports, 15 (2025) 3845. https://doi.org/10.1038/s41598-025-88490-7
J.-O. Andersson, T. Helander, L. Höglund, P. Shi, B. Sundman, Thermo-Calc & DICTRA, computational tools for materials science, Calphad, 26 (2) (2002) 273–312. https://doi.org/10.1016/S0364-5916(02)00037-8
Thermo-Calc Software TCAL Al-base Alloy Database version 9, https://thermocalc.com/products/databases/aluminumbased- alloys/
J.L. Murray, The Al-Cr (aluminum-chromium) system, Journal of Phase Equilibria, 19 (1998) 367–375. https://doi.org/10.1007/BF02735058
W. Köster, E. Wachtel, K. Grube, Aufbau und magnetische eigenschaften der aluminium-chromlegierungen, International Journal of Materials Research, 54 (7) (1963) 393–401. (in German) https://doi.org/10.1515/ijmr-1963-540702
H. Okamoto, Al-Cr (Aluminum-Chromium), Journal of Phase Equilibria and Diffusion, 29 (2008) 112–113. https://doi.org/10.1007/s11669-007-9225-4
G. Kurtuldu, P. Jessner, M. Rappaz, Peritectic reaction on the Al-rich side of Al–Cr system, Journal of Alloys and Compounds, 621 (2015) 283–286. https://doi.org/10.1016/j.jallcom.2014.09.174
J.G. Costa Neto, S. Gama, C.A. Ribeiro, Experimental study of the Al-Cr equilibrium diagram, Journal of Alloys and Compounds, 182 (2) (1992) 271–280. https://doi.org/10.1016/0925-8388(92)90601-5
N. Saunders, V.G. Rivlin, Thermodynamic characterization of Al–Cr, Al–Zr, and Al–Cr–Zr alloy systems, Materials Science and Technology, 2 (6) (1986) 520–527. https://doi.org/10.1179/mst.1986.2.6.520
T. Ohnishi, Y. Nakatani, K. Okabayashi, Crystal structures of intermetallic θ, η and ε phases in Al-Cr System, Bulletin of University of Osaka Prefecture. Series A, Engineering and natural sciences, 24 (2) (1976) 183–191. https://doi.org/10.24729/00008713
B. Grushko, B. Przepiórzyński, E. Kowalska- Strzęciwilk, M. Surowiec, New phase in the high-Al region of Al-Cr, Journal of Alloys and Compounds, 420 (1-2) (2006) L1–L4. https://doi.org/10.1016/j.jallcom.2005.10.046
F. Stein, C. He, I. Wossack, The liquidus surface of the Cr–Al–Nb system and re-investigation of the Cr–Nb and Al–Cr phase diagrams, Journal of Alloys and Compounds, 598 (2014) 253–265. https://doi.org/10.1016/j.jallcom.2014.02.045
B. Hu, W.-W. Zhang, Y. Peng, Y. Du, S. Liu, Y. Zhang, Thermodynamic reassessment of the Al–Cr–Si system with the refined description of the Al–Cr system, Thermochimica Acta, 561 (2013) 77–90. https://doi.org/10.1016/j.tca.2013.03.033
Y. Liang, C. Guo, C. Li, Z. Du, Thermodynamic modeling of the Al–Cr system, Journal of Alloys and Compounds, 460 (1-2) (2008) 314–319. https://doi.org/10.1016/j.jallcom.2007.06.046
B. Grushko, B. Przepiórzyński, D. Pavlyuchkov, On the constitution of the high-Al region of the Al–Cr alloy system, Journal of Alloys and Compounds, 454 (1-2) (2008) 214–220. https://doi.org/10.1016/j.jallcom.2007.01.001
B. Grushko, E. Kowalska-Strzęciwilk, B. Przepiórzyński, M. Surowiec, Investigation of the Al– Cr γ-range, Journal of Alloys and Compounds, 402 (1- 2) (2005) 98–104. https://doi.org/10.1016/j.jallcom.2005.04.144
K. Mahdouk, J.-C. Gachon, New results about the Al- Cr binary phase diagram, Archives of Metallurgy and Materials, (2001) 233–238. https://journals.pan.pl/dlibra/publication/151717/editio n/132346/content
T. Helander, O. Tolochko, An experimental investigation of possible B2-ordering in the Al-Cr system, Journal of Phase Equilibria, 20 (1999) 57–60. https://doi.org/10.1361/105497199770335947
M. Audier, M. Durand-Charre, E. Laclau, H. Klein, Phase equilibria in the Al Cr system, Journal of Alloys and Compounds, 220 (1-2) (1995) 225–230. https://doi.org/10.1016/0925-8388(94)06010-X
S. Cui, I.-H. Jung, J. Kim, J. Xin, A coupled experimental and thermodynamic study of the Al-Cr and Al-Cr-Mg systems, Journal of Alloys and Compounds, 698 (2017) 1038–1057. https://doi.org/10.1016/j.jallcom.2016.12.298
M.J. Cooper, The structure of the intermetallic phase θ(Cr-Al), Acta Crystallographica, 13 (1960) 257–263. https://doi.org/10.1107/S0365110X60000571
K.A. Gschneidner, F.W. Calderwood, The Al−La (Aluminum-Lanthanum) system, Bulletin of Alloy Phase Diagrams, 9 (1988) 686–689. https://doi.org/10.1007/BF02883168
K.H.J. Buschow, The lanthanum-aluminum system, Philips Research Reports 20 (1965) 337–348. https://pearlhifi. com/06_Lit_Archive/02_PEARL_Arch/Vol_16/Se c_53/Philips_Rsrch_Reports_1946_thru_1977/Philips %20Research%20Reports-20-1965.pdf
Z. Cao, G. Kong, C. Che, Y. Wang, H. Peng, Experimental investigation of eutectic point in Al-rich Al-La, Al-Ce, Al-Pr and Al-Nd systems, Journal of Rare Earths, 35 (10) (2017) 1022–1028. https://doi.org/10.1016/S1002-0721(17)61008-1
Q. Yang, X. Liu, F. Bu, F. Meng, T. Zheng, D. Zhang, J. Meng, First-principles phase stability and elastic properties of Al–La binary system intermetallic compounds, Intermetallics, 60 (2015) 92–97. https://doi.org/10.1016/j.intermet.2015.02.007
J. Wang, Thermodynamic optimization for Al-La system, Calphad, 18 (3) (1994) 269–272. https://doi.org/10.1016/0364-5916(94)90033-7
R.P. Elliott, F.A. Shunk, The Al−La (aluminumlanthanum) system, Bulletin of Alloy Phase Diagrams, 2 (1981) 219–221. https://doi.org/10.1007/BF02881485
L. Jin, Y.-B. Kang, P. Chartrand, C.D. Fuerst, Thermodynamic evaluation and optimization of Al–La, Al–Ce, Al–Pr, Al–Nd and Al–Sm systems using the modified quasichemical model for liquids, Calphad, 35 (1) (2011) 30–41. https://doi.org/10.1016/j.calphad.2010.11.002
S.H. Zhou, R.E. Napolitano, Phase equilibria and thermodynamic limits for partitionless crystallization in the Al–La binary system, Acta Materialia, 54 (3) (2006) 831–840. https://doi.org/10.1016/j.actamat.2005.10.013
G. Borzone, N. Parodi, R. Ferro, J. Bros, J. Dubès, M. Gambino, Heat capacity and phase equilibria in rare earth alloy systems. R-rich R-Al alloys (R=La, Pr and Nd), Journal of Alloys and Compounds, 320 (2) (2001) 242–250. https://doi.org/10.1016/S0925-8388(00)01471-7
G. Cacciamani, R. Ferro, Thermodynamic modeling of some aluminium-rare earth binary systems: Al-La, Al- Ce and Al-Nd, Calphad, 25 (4) (2001) 583–597. https://doi.org/10.1016/S0364-5916(02)00009-3
F. Yin, X. Su, Z. Li, M. Huang, Y. Shi, A thermodynamic assessment of the La–Al system, Journal of Alloys and Compounds, 302 (1-2) (2000) 169–172. https://doi.org/10.1016/S0925-8388(00)00679-4
A. Juarez-Hernandez, H. Jones, Growth temperatures and microstructure selection during Bridgman solidification of hypereutectic Al–La and Al–Ce alloys, Journal of Crystal Growth, 208 (1-4) (2000) 442–448. https://doi.org/10.1016/S0022-0248(99)00400-5
A. Hawksworth, W.M. Rainforth, H. Jones, Solidification microstructure selection in the Al-rich Al–La, Al–Ce and Al–Nd systems, Journal of Crystal Growth, 197 (1-2) (1999) 286–296. https://doi.org/10.1016/S0022-0248(98)00955-5
G. Borzone, A.M. Cardinale, N. Parodi, G. Cacciamani, Aluminium compounds of the rare earths: enthalpies of formation of Yb-Al and La-Al alloys, Journal of Alloys and Compounds, 247 (1-2) (1997) 141–147. https://doi.org/10.1016/S0925-8388(96)02605-9
T.B. Massalski, H. Okamoto, P.R. Subramanian, L. Kacprzak, Binary alloy phase diagrams, ASM International, Materials Park, OH, 1990, p. 287–1288.
O.M. Barabash, Yu.N. Kobal, Кристаллическая структура металлов и сплавов (Crystal structures of metals and alloys), Naukova Dumka, Kiev, 1986. (in Russian)
E.M. Savitskii, V.F. Terekhova, A.V. Kholopov, Диаграмма состояния сплавов системы хром– лантан (Phase diagram for alloys in the Chromium- Lanthanum System), Russian Journal of Inorganic Chemistry, 5 (1960) 362–363. (in Russian)
V.M. Svechnikov, G.F. Kobzenko, M.V. Kireev, V.G. Ivanchenko, Розчинність ітрію і лантану в хромі (Solubility of Yttrium and Lanthanum in Chromium), Dopovidi Akademiï nauk Ukraïn’skoï RSR, (1973) 167–170. (in Ukrainian)
S. Ray, J.P. Neumann, Calculation of the binary chromiun-lanthanide phase diagrams, Journal of Phase Equilibria, 17 (1996) 179–185. https://doi.org/10.1007/BF02648486
W. Chan, M.C. Gao, Ö.N. Doğan, P. King, A.D. Rollett, Thermodynamic assessment of Cr-rare earth systems, Journal of Phase Equilibria and Diffusion, 30 (2009) 578–586. https://doi.org/10.1007/s11669-009-9581-3
H. Okamoto, Supplemental literature review of binary phase diagrams: Bi-Ga, Bi-Y, Ca-H, Cd-Fe, Cd-Mn, Cr-La, Ge-Ru, H-Li, Mn-Sr, Ni-Sr, Sm-Sn, and Sr-Ti, Journal of Phase Equilibria and Diffusion, 36 (2015) 292–303. https://doi.org/10.1007/s11669-015-0370-x
P.I. Kripyakevich, O.S. Zarechnyuk, Сполуки RCr2Al20 в системах рідкісноземельних елементів і Ca та їх кристалічна структура (The compounds RCr2Al20 in the rare earth and Ca systems and their crystal structure), Dopovidi Akademiï nauk Ukraïn’skoï RSR, 4 (1968) 364–367. (in Ukrainian)
O.J. Emes-Misenko, Дослідження фазових рівноваг у системах лантан–хром–алюміній та лантан– марганець–алюміній в ділянці з низьким вмістом лантану (Investigation of the phase equilibria in the lanthanum-chromium-aluminum and lanthanummanganese- aluminum systems in the region of low lanthanum content), Visnyk of the Lviv University. Series Chemistry, 12 (1971) 12–14. (in Ukrainian)
L. Guzei, M. Materials Science International Team, Al- Cr-La rernary phase diagram evaluation Phase diagrams, crystallographic and thermodynamic data: Datasheet from MSI Eureka in SpringerMaterials (https://materials.springer.com/msi/docs/sm_msi_r_10 _019188_01), MSI Materials Science International Services GmbH. https://materials.springer.com/msi/docs/sm_msi_r_10_ 019188_01.
K.H.J. Buschow, J.H.N. Van Vucht, W.W. Van Den Hoogenhof, Note on the crystal structure of the ternary rare earth-3d transition metal compounds of the type RT4Al8, Journal of the Less Common Metals, 50 (1) (1976) 145–150. https://doi.org/10.1016/0022-5088(76)90261-7
L.J. Treadwell, J.D. McAlpin, D.C. Schmitt, M.J. Kangas, M.T. Sougrati, N. Haldolaarachchige, D.P. Young, J.C. Jumas, J.Y. Chan, Investigation of Fe incorporation in LnCr2Al20 (Ln = La, Gd, Yb) with 57Fe Mössbauer and single crystal X-ray diffraction, Inorganic Chemistry, 52 (9) (2013) 5055–5062. https://doi.org/10.1021/ic302805n
R. Pöttgen, O. Janka, CeCr2Al20 - type intermetallics – structure-property relationships, Reviews in Inorganic Chemistry, 43 (3) (2023) 357–383. https://doi.org/10.1515/revic-2023-0012
W.J. Boettinger, U.R. Kattner, K.-W. Moon, J.H. Perepezko, DTA and heat-flux DSC measurements of alloy melting and freezing, in: J.-C. Zhao (E.), Methods for phase diagram determination, 1st ed., Elsevier, 2007, p.151–221. https://doi.org/10.1016/B978-0-08-044629-5.X5000-9
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