journal article·2025-07-02Open access

Vacancy formation energy as a descriptor of the exfoliability of MAX phases to MXenes

Ali Muhammad Malik, Karsten Albe, Jochen Rohrer

Abstract

Abstract A thermodynamic descriptor for chemical exfoliation of MXenes remains elusive, primarily because the process is dynamic and MXenes are inherently metastable. Here we show that vacancy formation energies provide such a descriptor. Synthesized MXenes exhibit positive vacancy formation energies for M and X elements, while non-synthesized MXenes show negative energies for M or X elements, or both. Similarly, exfoliable precursor MAX phases are characterized by negative vacancy formation energies for A elements. Using this correlation, we identify seven hitherto unreported MXenes as potentially synthesizable in HF at pH = 2. At higher pH, additional unknown MXenes are identified as locally stable together with their exfoliable MAX phases but remain inaccessible in HF, highlighting the need for alternative alkaline etchants. The exfoliable precursor MAX phases are predominantly Al-based. The proposed descriptor is transferable to other 2D materials such as MBenes and may be adapted to other acidic or alkaline etchants.
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Research context

OpenAlex topics: MXene and MAX Phase Materials · Aluminum Alloys Composites Properties · 2D Materials and Applications

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References (41)

Show source-provided references
1. Hernandez, Y. et al. High-yield production of graphene by liquid-phase exfoliation of graphite. Nat. Nanotechnol. 3, 563–568 (2008).10.1038/nnano.2008.215 ↗
2. Haar, S. et al. Liquid-phase exfoliation of graphite into single- and few-layer graphene with α-functionalized alkanes. J. Phys. Chem. Lett. 7, 2714–2721 (2016).10.1021/acs.jpclett.6b01260 ↗
3. Jawaid, A. et al. Mechanism for liquid phase exfoliation of MoS2. Chem. Mater. 28, 337–348 (2016).10.1021/acs.chemmater.5b04224 ↗
4. Mittal, N., Kedawat, G., Kanika, Gupta, S. & Gupta, B. K. An innovative method for large-scale synthesis of hexagonal boron nitride nanosheets by liquid phase exfoliation. ChemistrySelect 5, 12564–12569 (2020).10.1002/slct.202003736 ↗
5. Naguib, M. et al. Two-dimensional nanocrystals produced by exfoliation of Ti 3 Alc 2. Adv. Mater. 23, 4248–4253 (2011).10.1002/adma.201102306 ↗
6. Zhou, J. et al. Boridene: two-dimensional mo 4/3 b 2-x with ordered metal vacancies obtained by chemical exfoliation. Science 373, 801–805 (2021).10.1126/science.abf6239 ↗
7. Sokol, M., Natu, V., Kota, S. & Barsoum, M. W. On the chemical diversity of the max phases. Trends Chem. 1, 210–223 (2019).10.1016/j.trechm.2019.02.016 ↗
8. Kubitza, N., Büchner, C., Sinclair, J., Snyder, R. M. & Birkel, C. S. Extending the chemistry of layered solids and nanosheets: chemistry and structure of max phases, mab phases and mxenes. ChemPlusChem 88 https://doi.org/10.1002/cplu.202300214 (2023).10.1002/cplu.202300214 ↗
9. Zhao, X. et al. Fabrication of layered Ti3C2 with an accordion-like structure as a potential cathode material for high performance lithium–sulfur batteries. J. Mater. Chem. A 3, 7870–7876 (2015).10.1039/C4TA07101H ↗
10. Wang, X. et al. Pseudocapacitance of MXene nanosheets for high-power sodium-ion hybrid capacitors. Nat. Commun. 6 https://doi.org/10.1038/ncomms7544 (2015).10.1038/ncomms7544 ↗
11. Liu, F. et al. Preparation of high-purity V2C MXene and electrochemical properties as Li-ion batteries. J. Electrochem. Soc. 164, A709–A713 (2017).10.1149/2.0641704jes ↗
12. Lee, E. et al. Room temperature gas sensing of two-dimensional titanium carbide (mxene). ACS Appl. Mater. Interfaces 9, 37184–37190 (2017).10.1021/acsami.7b11055 ↗
13. Kim, S. J. et al. Metallic Ti3C2Tx MXene gas sensors with ultrahigh signal-to-noise ratio. ACS Nano 12, 986–993 (2018).10.1021/acsnano.7b07460 ↗
14. Choi, J. et al. In situ formation of multiple Schottky barriers in a Ti3C2 MXene film and its application in highly sensitive gas sensors. Adv. Funct. Mater. 30 https://doi.org/10.1002/adfm.202003998 (2020).10.1002/adfm.202003998 ↗
15. Wu, X., Wang, Z., Yu, M., Xiu, L. & Qiu, J. Stabilizing the mxenes by carbon nanoplating for developing hierarchical nanohybrids with efficient lithium storage and hydrogen evolution capability. Adv. Mater. 29, 1607017 (2017).10.1002/adma.201607017 ↗
16. Li, Z. et al. The marriage of the fen4 moiety and mxene boosts oxygen reduction catalysis: Fe 3d electron delocalization matters. Adv. Mater. 30 https://doi.org/10.1002/adma.201803220 (2018).10.1002/adma.201803220 ↗
17. Shahzad, F. et al. Electromagnetic interference shielding with 2d transition metal carbides (MXenes). Science 353, 1137–1140 (2016).10.1126/science.aag2421 ↗
18. Han, M. et al. Beyond Ti3C2Tx: Mxenes for electromagnetic interference shielding. ACS Nano 14, 5008–5016 (2020).10.1021/acsnano.0c01312 ↗
19. Sun, Y. et al. Adjustable interlayer spacing of ultrathin MXene-derived membranes for ion rejection. J. Memb. Sci. 591 https://doi.org/10.1016/j.memsci.2019.117350 (2019).10.1016/j.memsci.2019.117350 ↗
20. Ding, L. et al. Effective ion sieving with Ti3C2Tx MXene membranes for production of drinking water from seawater. Nat. Sustain. 3, 296–302 (2020).10.1038/s41893-020-0474-0 ↗
21. Agresti, A. et al. Titanium-carbide MXenes for work function and interface engineering in perovskite solar cells. Nat. Mater. 18, 1228–1234 (2019).10.1038/s41563-019-0478-1 ↗
22. Montazeri, K. et al. Beyond gold: Spin-coated Ti3C2-based mxene photodetectors. Adv. Mater. 31 https://doi.org/10.1002/adma.201903271 (2019).10.1002/adma.201903271 ↗
23. Zhou, J., Dahlqvist, M., Björk, J. & Rosen, J. Atomic scale design of MXenes and their parent materials–from theoretical and experimental perspectives. Chem. Rev. 123, 13291–13322 (2023).10.1021/acs.chemrev.3c00241 ↗
24. Malik, A. M., Rohrer, J. & Albe, K. Theoretical study of thermodynamic and magnetic properties of transition metal carbide and nitride max phases. Phys. Rev. Mater. 7, 044408 (2023).10.1103/PhysRevMaterials.7.044408 ↗
25. Khazaei, M. et al. Insights into exfoliation possibility of max phases to MXenes. Phys. Chem. Chem. Phys. 20, 8579–8592 (2018).10.1039/C7CP08645H ↗
26. Cheng, Y., Wang, L., Song, Y. & Zhang, Y. Deep insights into the exfoliation properties of max to mxenes and the hydrogen evolution performances of 2d mxenes. J. Mater. Chem. A 7, 15862–15870 (2019).10.1039/C9TA03859K ↗
27. Khaledialidusti, R., Khazaei, M., Khazaei, S. & Ohno, K. High-throughput computational discovery of ternary-layered max phases and prediction of their exfoliation for formation of 2d mxenes. Nanoscale 13, 7294–7307 (2021).10.1039/D0NR08791B ↗
28. Ashton, M., Mathew, K., Hennig, R. G. & Sinnott, S. B. Predicted surface composition and thermodynamic stability of MXenes in solution. J. Phys. Chem. C. 120, 3550–3556 (2016).10.1021/acs.jpcc.5b11887 ↗
29. Rems, E. et al. Computationally guided synthesis of MXenes by dry selective extraction. Adv. Mater. 35, 2305200 (2023).10.1002/adma.202305200 ↗
30. Björk, J., Halim, J., Zhou, J. & Rosen, J. Predicting chemical exfoliation: fundamental insights into the synthesis of mxenes. npj 2D Mater. Appl. 7, 5 (2023).10.1038/s41699-023-00370-8 ↗
31. Halim, J. et al. Synthesis and characterization of 2d molybdenum carbide (MXene). Adv. Funct. Mater. 26, 3118–3127 (2016).10.1002/adfm.201505328 ↗
32. Anasori, B., Lukatskaya, M. R. & Gogotsi, Y. 2d metal carbides and nitrides (MXenes) for energy storage. Nat. Rev. Mater. 2, 16098 (2017).10.1038/natrevmats.2016.98 ↗
33. Björk, J., Zhou, J., Persson, P. O. A. & Rosen, J. Two-dimensional materials by large-scale computations and chemical exfoliation of layered solids. Science 383, 1210–1215 (2024).10.1126/science.adj6556 ↗
34. Dahlqvist, M., Barsoum, M. W. & Rosen, J. Max phases–past, present, and future. Mater. Today 72, 1–24 (2024).10.1016/j.mattod.2023.11.010 ↗
35. Kulkarni, M. et al. Hydrothermal synthesis of MXenes in alkali environment and development of MXene/PEDOT:PSS composite electrodes for supercapacitor applications. MRS Adv. https://doi.org/10.1557/s43580-024-00951-9 (2024).10.1557/s43580-024-00951-9 ↗
36. Enkovaara, J. et al. Electronic structure calculations with gpaw: a real-space implementation of the projector augmented-wave method. J. Phys. Condens. Matter 22, 253202 (2010).10.1088/0953-8984/22/25/253202 ↗
37. Enkovaara, J., Romero, N. A., Shende, S. & Mortensen, J. J. Gpaw—massively parallel electronic structure calculations with python-based software. Procedia Comput. Sci. 4, 17–25 (2011).10.1016/j.procs.2011.04.003 ↗
38. Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953–17979 (1994).10.1103/PhysRevB.50.17953 ↗
39. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).10.1103/PhysRevLett.77.3865 ↗
40. Chase, J. M. W.NIST-JANAF thermochemical tables (Fourth edition. Washington, DC: American Chemical Society; New York: American Institute of Physics for the National Institute of Standards and Technology, 1998, 1998). https://search.library.wisc.edu/catalog/999842910902121. Issued as: Journal of Physical and Chemical Reference Data; monograph no. 9, 1998, Includes bibliographies.
41. POURBAIX, M. Atlas of electrochemical equilibria in aqueous solutions. NACE https://cir.nii.ac.jp/crid/1572543024422924800.bib?lang=en (1966).