Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México, Km. 107, Apdo. Postal 14. Carretera Tijuana-Ensenada, Ensenada, Baja California, México.
Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Nuevo León, 66451, San Nicolas de los Garza, Nuevo León, México.
Sci Rep. 2023 Feb 25;13(1):3271. doi: 10.1038/s41598-023-30443-z.
By first-principles total-energy calculations, we investigated the thermodynamic stability of the MAX solid solution MoVAlC in the 0 ≤ x ≤ 4 range. Results evidence that lattice parameter a increases as a function of Mo content, while the c parameter reaches its maximum expansion at x = 2.5. After that, a contraction is noticed. Mo occupies V sites randomly until the out-of-plane ordered MoVAlC alloy is formed. We employed the Defect Formation Energy (DFE) formalism to evaluate the thermodynamic stability of the alloys. Calculations show five stable compounds. At V-rich conditions and from Mo-rich to Mo-moderated conditions, the pristine VAlC MAX is stable. In the region of V-poor conditions, from Mo-rich to Mo-moderated growth conditions, the solid solutions with x = 0.5, 1, and 1.5 and the o-MAX MoVAlC are thermodynamically stable. The line profiles of the Electron Localization Function and Bader charge analysis show that the V-C interaction is mainly ionic, while the Mo-C is covalent. Also, the exfoliation energy to obtain a MXene layer is ~ 0.4 eV/Å. DFE also shows that MXenes exfoliated from the MAX phase with the same Mo content and atomic arrangement are thermodynamically stable. Our results get a deeper atomic scale understanding of the previously reported experimental evidence.
通过第一性原理的总能计算,我们研究了 MAX 固溶体 MoVAlC 在 0≤x≤4 范围内的热力学稳定性。结果表明,晶格参数 a 随 Mo 含量的增加而增加,而 c 参数在 x=2.5 时达到最大膨胀。之后,会注意到收缩。Mo 随机占据 V 位,直到形成面外有序的 MoVAlC 合金。我们采用缺陷形成能(DFE)形式来评估合金的热力学稳定性。计算表明有五个稳定的化合物。在富 V 条件下以及从富 Mo 到 Mo 适中的条件下,原始的 VAlC MAX 是稳定的。在贫 V 条件下,从富 Mo 到 Mo 适中的生长条件下,x=0.5、1 和 1.5 的固溶体和 o-MAX MoVAlC 是热力学稳定的。电子局域函数和 Bader 电荷分析的线轮廓表明,V-C 相互作用主要是离子的,而 Mo-C 是共价的。此外,获得 MXene 层的剥离能约为 0.4 eV/Å。DFE 还表明,具有相同 Mo 含量和原子排列的从 MAX 相剥离的 MXenes 在热力学上是稳定的。我们的结果从原子尺度上更深入地理解了之前报道的实验证据。