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. 2016 Dec 29;10:576–582. doi: 10.1016/j.dib.2016.12.046

Dataset on the structure and thermodynamic and dynamic stability of Mo2ScAlC2 from experiments and first-principles calculations

Martin Dahlqvist 1,, Rahele Meshkian 1, Johanna Rosen 1
PMCID: PMC5219593  PMID: 28070549

Abstract

The data presented in this paper are related to the research article entitled “Theoretical stability and materials synthesis of a chemically ordered MAX phase, Mo2ScAlC2, and its two-dimensional derivate Mo2ScC” (Meshkian et al. 2017) [1]. This paper describes theoretical phase stability calculations of the MAX phase alloy MoxSc3-xAlC2 (x=0, 1, 2, 3), including chemical disorder and out-of-plane order of Mo and Sc along with related phonon dispersion and Bader charges, and Rietveld refinement of Mo2ScAlC2. The data is made publicly available to enable critical or extended analyzes.


Specifications Table

Subject area Physics, Materials science
More specific subject area Phase stability predictions,
Type of data Tables, Figures, Text file
How data was acquired Density functional theory calculations using VASP 5.3.3, phonon dispersion using Phonopy 1.9.1, and atom charges using Bader charge analysis version 0.95a.
θ-2θ X-ray diffraction (XRD) measurements were performed on the samples using a diffractometer (Rikagu Smartlab, Tokyo, Japan), with Cu-Kα radiation (40 kV and 44 mA). The scans were recorded between 3° and 120° with step size of 0.02° and a dwell time of 7 s.
Data format Raw, Analyzed
Experimental factors N/A
Experimental features For synthesis of Mo2ScAlC2, elemental powders of Mo, Sc, Al and graphite were mixed in an agate mortar, put in an alumina crucible, and placed into a sintering furnace where it was heated up to 1700 °C and kept at that temperature for 30 min. Structural characterization was performed using X-ray diffraction (XRD), and for complementary structural and compositional analysis high-resolution scanning transmission electron microscopy (HRSTEM) measurement were carried out. See Ref. [1] for further information.
Data source location Linköping, Sweden
Data accessibility Data are available with this article.

Value of the data

  • This data allows other researchers to calculate and predict the phase stability of new compounds within the quaternary Mo-Sc-Al-C system and related subsystem.

  • The data presents refined/calculated structures that can be used as input for further theoretical evaluation of properties.

  • The structural information can also be used for interpretation and phase identification of, e.g., attained experimental XRD, (S)TEM, and electron diffraction data.

1. Data

The dataset of this paper provides information for calculated phases within the quaternary Mo-Sc-Al-C system and data obtained from refinement of the XRD pattern. Table 1 provides calculated lattice parameters, formation enthalpy, and equilibrium simplex for the chemically ordered nanolaminates Mo2ScAlC2 and Sc2MoAlC2 with different atomic stacking sequences (described in detail in Fig. 7(a) in Ref. [2]). Table 2 provides information for all considered competing phases within the quaternary system. Fig. 1 show calculated phonon spectra for Mo2ScAlC2 of order A and its corresponding end members Sc3AlC2 and Mo3AlC2. Fig. 2 depicts calculated Bader charges of atoms in MoxSc3-xAlC2 (x=0, 2, 3). Table 3 shows the data obtained from refinement of the XRD pattern, see Ref. [1]; Lattice vectors a, b and c for the majority phase Mo2ScAlC2 are 3.033, 3.033 and 18.775 Å, respectively.

Table 1.

Calculated lattice parameters, equilibrium total energy E0 in eV per formula unit, formation enthalpy ΔHcp in meV per atom, and identified equilibrium simplex for Mo2ScAlC2 and Sc2MoAlC2. For comparison the corresponding end members Mo3AlC2 and Sc3AlC2 are also included.

Phase Order a (Å) c (Å) E0 (eV/fu) ΔHcp (meV/atom) Equilibrium simplex
Mo3AlC2 3.0716 18.541 −54.830 +141 C, Mo3Al
Mo2ScAlC2 A 3.0619 19.072 −52.431 —24 (Mo2/3Sc1/3)2AlC, MoC, ScC0.875, Mo
Mo2ScAlC2 B 3.0774 19.252 −51.972 +53 (Mo2/3Sc1/3)2AlC, MoC, ScC0.875, Mo
Mo2ScAlC2 C 3.1622 18.789 −51.601 +114 (Mo2/3Sc1/3)2AlC, MoC, ScC0.875, Mo
Mo2ScAlC2 D 3.1771 18.865 −51.505 +130 (Mo2/3Sc1/3)2AlC, MoC, ScC0.875, Mo
Mo2ScAlC2 E 3.1271 19.054 −51.348 +157 (Mo2/3Sc1/3)2AlC, MoC, ScC0.875, Mo
Mo2ScAlC2 F 3.1221 19.109 −51.663 +104 (Mo2/3Sc1/3)2AlC, MoC, ScC0.875, Mo
Mo2ScAlC2 disorder 3.1252 18.861 −51.767 +87 (Mo2/3Sc1/3)2AlC, MoC, ScC0.875, Mo
Sc2MoAlC2 A 3.1798 19.819 −48.262 +28 (Mo2/3Sc1/3)2AlC, Sc3AlC, Sc3C4
Sc2MoAlC2 B 3.1808 19.845 −48.071 +60 (Mo2/3Sc1/3)2AlC, Sc3AlC, Sc3C4
Sc2MoAlC2 C 3.1886 19.696 −47.842 +98 (Mo2/3Sc1/3)2AlC, Sc3AlC, Sc3C4
Sc2MoAlC2 D 3.1892 19.770 −47.864 +94 (Mo2/3Sc1/3)2AlC, Sc3AlC, Sc3C4
Sc2MoAlC2 E 3.2279 19.802 −47.453 +162 (Mo2/3Sc1/3)2AlC, Sc3AlC, Sc3C4
Sc2MoAlC2 F 3.1898 19.700 −47.779 +108 (Mo2/3Sc1/3)2AlC, Sc3AlC, Sc3C4
Sc2MoAlC2 disorder 3.2251 19.335 −48.088 +57 (Mo2/3Sc1/3)2AlC, Sc3AlC, Sc3C4
Sc3AlC2 3.3170 20.885 −43.406 +155 Sc3AlC, Sc3C4, ScAl3C3

Table 2.

Structural information and calculated total energy for competing phases considered within the quaternary Mo-Sc-Al-C system.

Phase Prototype structure Pearson symbol Space group V3/uc) a b c E0 (eV/fu)
(Å) (Å) (Å)
Mo W cI2 Im-3m (229) 15.92 3.169 −10.850
Mo Cu cF4 Fm-3m (225) 16.15 4.012 −10.431
Mo Mg hP2 P63/mmc (194) 32.57 2.774 4.887 −10.414
Sc Mg hP2 P63/mmc (194) 49.25 3.321 5.157 −6.333
Sc Sc hP6 P6122 (178) 148.75 3.242 16.342 −6.201
Sc Np tP4 P4/nmm (129) 100.35 5.367 3.484 −6.223
Al Cu cF4 Fm-3m (225) 66.00 4.041 −3.745
Al Mg hP2 P63/mmc (194) 33.28 2.856 4.712 −3.712
Al W cI2 Im-3m (229) 16.93 3.235 −3.649
C C (graphite) hP4 P63/mmc (194) 38.14 2.464 7.250 −9.225
Al4C3 Al4C3 hR21 R-3m h (166) 245.00 3.355 25.129 −43.340
MoAl12 WAl12 cI26 Im-3 (204) 436.23 7.584 −57.303
MoAl5 MoAl5 hR36 R-3c h (167) 558.49 4.952 26.296 −31.001
Mo4Al17 Mo4Al17 mS84 C121 (5) 1305.85 9.187 4.939 28.974 −112.563
Mo3Al8 Mo3Al8 mS22 C12/m1 (12) 334.46 9.235 3.653 10.091 −66.170
Mo3Al Cr3Si cP8 Pm-3n (223) 123.48 4.980 −37.228
Sc2Al Ni2In hP6 P63/mmc (194) 128.50 4.902 6.176 −17.458
ScAl CsCl cP2 Pm-3m (221) 38.75 3.384 −10.973
ScAl CrB oC8 Cmcm (63) 81.00 3.338 11.101 4.371 −10.892
ScAl2 MgCu2 cF24 Fd-3m (227) 109.50 3.797 −15.277
ScAl3 AuCu3 cP4 Pm-3m (221) 69.25 4.107 −19.383
MoC TiP hP8 P63/mmc (194) 84.84 3.016 10.768 −19.821
MoC NaCl cF8 Fm-3m (225) 21.06 4.383 −19.640
MoC η-MoC hp12 P63/mmc (194) 126.16 3.074 15.401 −19.747
MoC WC hp2 P-6m2 (187) 21.00 2.928 2.829 −20.241
Mo3C2 Cr3C2 oP20 Pnma (62) 228.19 6.064 2.974 12.654 −50.938
Mo2C β׳׳-Mo2C hP3 P-3m1 (164) 38.06 3.068 4.669 −31.064
Mo3C Fe3C oP16 Pnma (62) 215.87 5.540 7.559 5.159 −40.423
Sc2C Ti2C cF48 Fd-3m (227) 852.33 9.481 −23.266
Sc4C3 P4Th3 cI28 I-43d (220) 188.75 7.227 −56.419
ScC0.875 NaCl cF8 Fm-3m (225) 208.70 4.708 −14.923
ScC NaCl cF8 Fm-3m (225) 25.70 4.685 −15.840
Sc3C4 Sc3C4 tP70 P4/mnc (128) 851.50 7.515 15.076 −58.764
Mo3AlC CaTiO3 cP5 Pm-3m (221) 71.70 4.154 −45.341
Mo3Al2C Mo3Al2C cP24 P4132 (213) 327.20 6.891 −50.299
Mo3Al2C0.9375 Mo3Al2C cP24 P4132 (213) 1303.30 6.881 −49.691
Mo3Al2C0.875 Mo3Al2C cP24 P4132 (213) 648.29 6.869 −49.078
Mo3Al2C0.875 Mo3Al2C cP24 P4132 (213) 1296.87 6.870 −49.069
Mo3Al2C0.75 Mo3Al2C cP24 P4132 (213) 321.10 6.848 −47.844
Mo2AlC Cr2AlC hP8 P63/mmc (194) 107.46 3.031 13.505 −35.292
Mo3AlC2 Ti3SiC2 hP12 P63/mmc (194) 151.49 3.072 18.541 −54.830
Mo4AlC3 Ti4AlN3 hP16 P63/mmc (194) 196.50 3.117 23.358 −74.552
(Mo2/3Sc1/3)2AlC (Mo2/3Sc1/3)2AlC mS48 C2/c (15) 689.78 9.367 5.427 13.961 −33.308
ScAl3C3 ScAl3C3 hP14 P63/mmc (194) 164.34 3.362 16.789 −47.703
Sc3AlC CaTiO3 cP5 Pm-3m (221) 84.90 4.395 −35.023
Sc2AlC Cr2AlC hP8 P63/mmc (194) 141.75 3.296 15.065 −27.385
Sc3AlC2 Ti3SiC2 hP12 P63/mmc (194) 199.00 3.317 20.885 −43.406
Sc4AlC3 Ti4AlN3 hP16 P63/mmc (194) 248.50 3.296 26.414 −59.294

Fig. 1.

Fig. 1

Calculated phonon dispersion for (a) Mo2ScAlC2, (b) Sc3AlC2, and (c) Mo3AlC2.

Fig. 2.

Fig. 2

Calculated charge for atoms in Sc3AlC2, Mo2ScAlC2, and Mo3AlC2 using Bader analysis.

Table 3.

Rietveld refinement of Mo2ScAlC2. The identified phases and their respective weight percentages according to the Rietveld refinement of the XRD pattern are: 1. Mo2ScAlC2 (73.9(0) wt.%), Mo2C (14.1(8) wt.%), A12O3 (7.4(0) wt.%), Mo3Al2C (3.5(0) wt.%) and, Mo3Al (1.0(2) wt.%), the total χ2 is 10.50.

Space group P63/mmc (#194)
a (Å) 3.0334(8)
b (Å) 3.0334(8)
c (Å) 18.7750(0)
α 90.000
β 90.000
γ 120.000
Mo 4f (0.3333(3) 0.6666(7) 0.1363(2))
Occupancy of Mo=4.00(0) and Sc=0.00(0)
Sc 2a (0.0000 0.0000 0.0000)
Occupancy of Sc=1.83(4) and Mo=0.16(6)
Al 2b (0.0000 0.0000 0.2500) Occupancy of Al=2.00
C 4f (0.6666(7) 0.3333(3) 0.06825(5)) Occupancy of C=4.00

2. Experimental design, materials and methods

First-principles calculations were performed by means of density functional theory (DFT) and the projector augmented wave method [3], [4] as implemented within the Vienna ab-initio simulation package (VASP) 5.3.3 [5], [6], [7]. We adopted the non-spin polarized generalized gradient approximation (GGA) as parameterized by Perdew–Burke–Ernzerhof (PBE) [8] for treating electron exchange and correlation effects. A plane-wave energy cut-off of 400 eV was used and for sampling of the Brillouin zone we used the Monkhorst–Pack scheme [9]. The calculated total energy of all phases is converged to within 0.5 meV/atom with respect to k-point sampling and structurally optimized in terms of unit-cell volumes, c/a ratios (when necessary), and internal parameters to minimize the total energy.

Chemically disordered of Sc and Mo in MoxSc3-xAlC2 have been modelled using the special quasi-random structure (SQS) method [10], [11] on supercells of 4×4×1 M3AX2 unit cells, with a total of 96 M-sites, respectively. Convergence tests with respect to total energy show that these sizes are appropriate to use, based on an energy of the 4×4×1 unit cells being within 2 meV/atom compared to larger supercells.

Evaluation of phase stability was performed by identifying the set of most competing phases at a given composition, i.e. equilibrium simplex, using a linear optimization procedure [11], [12] including all competing phases in the system. A phase is considered thermodynamically stable when its energy is lower than the set of most competing phases, and when there is no imaginary frequencies in phonon spectra, i.e. an indicated dynamic stability. The approach has been proven successful to confirm already experimentally known MAX phases as well as to predict the existence of new ones [2], [13], [14].

Dynamical stability of the chemically ordered MoxSc3-xAlC2 (x=0, 2, 3) structures was evaluated by phonon calculations of 4×4×1 supercells using density functional perturbation theory and as implemented in the PHONOPY code, version 1.9.1 [15], [16]. Calculated charges were obtained using Bader charge analysis, version 0.95a [17].

The synthesis of Mo2ScAlC2 were carried out by mixing elemental powders of Mo, Sc, Al and graphite in an agate mortar, put in an alumina crucible, and placed into a sintering furnace where it was heated up to 1700 °C and kept at that temperature for 30 min.

θ-2θ X-ray diffraction (XRD) measurements were performed on the samples using a diffractometer (Rikagu Smartlab, Tokyo, Japan), with Cu-Kα radiation (40 kV and 44 mA). The scans were recorded between 3° and 120° with step size of 0.02° and a dwell time of 7 s. XRD pattern was analyzed by Rietveld refinement using FULLPROF code [18], where 5 backgrounds parameters, scale factors, X and Y profile parameters, lattice parameters, atomic positions, the overall B-factor and the occupancies for the main as well as the impurity phases were fitted.

Funding sources

J. R. acknowledges funding from the Swedish Research Council (VR) under Grant no. 621-2012-4425 and 642-2013-8020, from the Knut and Alice Wallenberg (KAW) Foundation, and from the Swedish Foundation for Strategic Research (SSF) through the synergy grant FUNCASE. All calculations were carried out using supercomputer resources provided by the Swedish National Infrastructure for Computing (SNIC) at the National Supercomputer Centre (NSC), the High Performance Computing Center North (HPC2N), and the PDC Center for High Performance Computing.

Footnotes

Transparency document

Transparency document associated with this paper can be found in the online version at doi:10.1016/j.dib.2016.12.046.

Appendix A

Supplementary material associated with this paper can be found in the online version at doi:10.1016/j.dib.2016.12.046.

Transparency document. Supplementary material

Supplementary material

mmc1.pdf (275.8KB, pdf)

Appendix A. Supplementary material

Supplementary material

mmc2.zip (718B, zip)

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Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Supplementary Materials

Supplementary material

mmc1.pdf (275.8KB, pdf)

Supplementary material

mmc2.zip (718B, zip)

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