gtinv-191 (Na-Ge-2022-06-12)

Energy distribution

Convex hull (formation energy)

Stable structures

Convex hull (formation energy)

Composition	Formation energy (eV/atom)	Structure
0.0	0.0	Na
0.2	-0.0612	icsd-648748-01-[Pd4Se]
0.3333	-0.092	icsd-16504-10-[CrSi2]
0.6	-0.1341	icsd-239-10-[Cu3Se2]
1.0	0.0	Ge

The convex hull and stable structures are obtained by performing local structure optimizations only from structure prototypes used for estimating the MLP. Therefore, they are often inconsistent with experimental structures and/or theoretical globally-stable structures. In addition, the prototype is used as the structure legend in the figure. Therefore, the structure type of the converged structure is sometimes different from that shown in the legend even if the potential energy surface predicted by MLP is almost the same as the true one.

Equation of state for each structure

Prototype structure energy

Phonon density of states

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype	MLP (eV/atom)	DFT (eV/atom)
icsd-58745-01-[Fe6Ge6Mg]	-3.23202	-3.23876
icsd-97006-10-[InMg2]	-3.19293	-3.19494
icsd-167735-10-[Ru2B3]	-3.11966	-3.11957
icsd-107998-10-[MoNi4]	-3.10765	-3.10812
icsd-105521-10-[Al5W]	-3.08794	-3.08884
icsd-150584-10-[Fe13Ge3]	-3.05234	-3.05278
icsd-42773-10-[IrGe4]	-3.04272	-3.05652
icsd-648748-10-[Pd4Se]	-3.00856	-3.00741
icsd-104506-01-[Ni3Sn]	-3.00726	-3.00841
icsd-260285-01-[UCl3]	-3.00725	-3.00842
icsd-649037-01-[Ni3Ti]	-2.99197	-2.99419
icsd-99787-10-[Fe3Pt]	-2.95934	-2.95924
icsd-609153-01-[AlPt3]	-2.95933	-2.95925
icsd-69199-01-[U3Si]	-2.95933	-2.95926
icsd-181127-10-[Auricupride-AuCu3]	-2.9591	-2.95921
icsd-648572-01-[CuInPt2]	-2.95909	-2.9592
icsd-640726-10-[CuSmP2]	-2.9553	-2.95313
icsd-416747-01-[Al3Zr]	-2.95529	-2.95313
icsd-643301-01-[Au3Cd]	-2.95529	-2.95313
icsd-105191-01-[Al3Ti]	-2.94603	-2.94562
icsd-420250-01-[LiPd2Tl]	-2.94603	-2.94563
icsd-610464-10-[PbClF/Cu2Sb]	-2.90167	-2.90149
icsd-625334-01-[Laves(2H)-MgZn2]	-2.88675	-2.88526
icsd-246555-10-[Co2Nd]	-2.879	-2.87859
icsd-189695-01-[CuHg2Ti]	-2.87174	-2.87485
icsd-188260-10-[Heusler-AlCu2Mn]	-2.87174	-2.87485
icsd-611176-01-[Fe2P]	-2.85051	-2.85314
icsd-635642-01-[Hg5Mn2]	-2.83557	-2.83744
icsd-155842-10-[Co5Fe11]	-2.82307	-2.82332
icsd-58471-01-[CuZr2]	-2.81956	-2.81987
icsd-58607-10-[Au2Ti]	-2.81951	-2.81983
icsd-652553-10-[AlCr2-MoSi2]	-2.81951	-2.81983
icsd-239-10-[Cu3Se2]	-2.80316	-2.80211
icsd-409859-10-[La2Sb]	-2.78914	-2.79076
icsd-59586-01-[Pd5Th3]	-2.77231	-2.77168
icsd-5258-01-[FeSi2]	-2.76634	-2.76585
icsd-169457-10-[ZrH2]	-2.7563	-2.755
icsd-106786-10-[Hg2Pt]	-2.75517	-2.75428
icsd-655706-10-[Cu2Te(HT)]	-2.75496	-2.75486
icsd-189711-01-[Heusler(alloy)-AlLiSi]	-2.73575	-2.7338
icsd-16504-01-[CrSi2]	-2.73175	-2.73179
icsd-105726-01-[Pd5Ti3]	-2.70164	-2.70184
icsd-69557-10-[CdI2(hP9)]	-2.67038	-2.671
icsd-105948-01-[InNi2]	-2.64304	-2.64256
icsd-161133-10-[Fe2Si(HT)]	-2.64304	-2.64256
icsd-629380-10-[Al3Os2]	-2.63831	-2.6385
icsd-635208-10-[CoGa3]	-2.63304	-2.63396
icsd-103995-01-[Ga3Ti2]	-2.61859	-2.61837
icsd-424636-10-[MnGa4]	-2.61343	-2.61368
icsd-108762-10-[Hg4Pt]	-2.61343	-2.61369
icsd-639148-10-[NiHg4]	-2.61343	-2.61369
icsd-659829-01-[Al2Li3]	-2.59895	-2.59766
icsd-629406-10-[Cu4Ti3]	-2.57188	-2.57139
icsd-73839-10-[Ni3S2]	-2.56284	-2.56238
icsd-30446-01-[Fe2B]	-2.56008	-2.55993
icsd-639879-10-[In5In4]	-2.51843	-2.51795
icsd-102712-01-[CoU]	-2.46028	-2.46031
icsd-16606-01-[Nb3Te4]	-2.43909	-2.43921
icsd-262070-01-[AlLi(hP8)]	-2.43219	-2.43286
icsd-639227-10-[Si2U3]	-2.40327	-2.40188
icsd-55492-01-[BaPt]	-2.40239	-2.40284
icsd-633467-01-[FeSe(tP2)]	-2.40168	-2.40189
icsd-108707-01-[HgMn]	-2.40167	-2.40189
icsd-59508-01-[AuCu]	-2.40167	-2.40189
icsd-42428-01-[Fe3Pt]	-2.40167	-2.40191
icsd-106325-01-[BiIn]	-2.40166	-2.40131
icsd-611457-01-[NbAs]	-2.39552	-2.39524
icsd-105636-01-[PbU]	-2.39552	-2.39524
icsd-240119-01-[AlLi]	-2.38986	-2.38964
icsd-103775-01-[NaTl]	-2.38986	-2.38991
icsd-618295-01-[MoC1-x]	-2.38907	-2.38876
icsd-638227-10-[Fluorite-CaF2]	-2.38208	-2.38181
icsd-248490-10-[Pt2Si]	-2.38208	-2.38186
icsd-185626-10-[Al3Ni2]	-2.3418	-2.34179
icsd-650527-01-[CsCl]	-2.30375	-2.30484
icsd-659856-01-[LiPt]	-2.29455	-2.29571
icsd-644708-01-[WC]	-2.29455	-2.29571
icsd-100654-01-[BiSe]	-2.29315	-2.29358
icsd-168897-01-[LaI]	-2.28327	-2.28484
icsd-626692-01-[Nickeline-NiAs]	-2.28326	-2.28484
icsd-618702-01-[ScTe]	-2.28303	-2.28417
icsd-611618-01-[TiAs]	-2.28298	-2.28414
icsd-52294-01-[GeTe(supercell)]	-2.28246	-2.28351
icsd-639037-01-[HgIn]	-2.28246	-2.28351
icsd-659806-01-[GeTe(subcell)]	-2.28246	-2.28351
icsd-639879-01-[In5In4]	-2.26074	-2.261
icsd-635060-01-[Fersilicite-FeSi]	-2.25157	-2.25145
icsd-16606-10-[Nb3Te4]	-2.22276	-2.2254
icsd-629406-01-[Cu4Ti3]	-2.1977	-2.19604
icsd-639227-01-[Si2U3]	-2.19448	-2.1947
icsd-103995-10-[Ga3Ti2]	-2.17881	-2.18005
icsd-659829-10-[Al2Li3]	-2.15079	-2.15092
icsd-239-01-[Cu3Se2]	-2.13589	-2.13549
icsd-185626-01-[Al3Ni2]	-2.12646	-2.12642
icsd-59586-10-[Pd5Th3]	-2.09052	-2.0921
icsd-105726-10-[Pd5Ti3]	-2.06296	-2.06292
icsd-30446-10-[Fe2B]	-2.00433	-2.00523
icsd-73839-01-[Ni3S2]	-1.98432	-1.98458
icsd-611176-10-[Fe2P]	-1.97314	-1.97403
icsd-58471-10-[CuZr2]	-1.95004	-1.9497
icsd-652553-01-[AlCr2-MoSi2]	-1.95004	-1.94969
icsd-58607-01-[Au2Ti]	-1.95003	-1.94968
icsd-5258-10-[FeSi2]	-1.92388	-1.92576
icsd-16504-10-[CrSi2]	-1.90873	-1.90844
icsd-161109-01-[CoSn]	-1.9032	-1.90294
icsd-42472-01-[CoO]	-1.90168	-1.90224
icsd-181788-01-[NaCl]	-1.90168	-1.90219
icsd-161133-01-[Fe2Si(HT)]	-1.90049	-1.90079
icsd-105948-10-[InNi2]	-1.90049	-1.90079
icsd-155842-01-[Co5Fe11]	-1.86925	-1.87181
icsd-655706-01-[Cu2Te(HT)]	-1.86466	-1.86479
icsd-409859-01-[La2Sb]	-1.8542	-1.85429
icsd-610464-01-[PbClF/Cu2Sb]	-1.8509	-1.85004
icsd-69557-01-[CdI2(hP9)]	-1.84986	-1.84983
icsd-635642-10-[Hg5Mn2]	-1.84332	-1.8468
icsd-635208-01-[CoGa3]	-1.79304	-1.79838
icsd-105191-10-[Al3Ti]	-1.77268	-1.77245
icsd-420250-10-[LiPd2Tl]	-1.77268	-1.77245
icsd-188260-01-[Heusler-AlCu2Mn]	-1.76538	-1.76445
icsd-189695-10-[CuHg2Ti]	-1.76538	-1.76445
icsd-248490-01-[Pt2Si]	-1.75994	-1.75974
icsd-638227-01-[Fluorite-CaF2]	-1.75994	-1.75975
icsd-169457-01-[ZrH2]	-1.75993	-1.75973
icsd-643301-10-[Au3Cd]	-1.73774	-1.7361
icsd-416747-10-[Al3Zr]	-1.73771	-1.73611
icsd-640726-01-[CuSmP2]	-1.73769	-1.73611
icsd-104506-10-[Ni3Sn]	-1.73662	-1.73745
icsd-260285-10-[UCl3]	-1.73661	-1.73748
icsd-649037-10-[Ni3Ti]	-1.72341	-1.72429
icsd-625334-10-[Laves(2H)-MgZn2]	-1.71564	-1.71562
icsd-181127-01-[Auricupride-AuCu3]	-1.7039	-1.70389
icsd-648572-10-[CuInPt2]	-1.7039	-1.70389
icsd-609153-10-[AlPt3]	-1.7039	-1.70384
icsd-99787-01-[Fe3Pt]	-1.70389	-1.70389
icsd-69199-10-[U3Si]	-1.70384	-1.70375
icsd-246555-01-[Co2Nd]	-1.69566	-1.69611
icsd-648748-01-[Pd4Se]	-1.67516	-1.67449
icsd-189711-10-[Heusler(alloy)-AlLiSi]	-1.65322	-1.65324
icsd-107998-01-[MoNi4]	-1.64777	-1.64876
icsd-424636-01-[MnGa4]	-1.64203	-1.64163
icsd-108762-01-[Hg4Pt]	-1.64203	-1.64163
icsd-639148-01-[NiHg4]	-1.64203	-1.64163
icsd-42773-01-[IrGe4]	-1.60624	-1.60606
icsd-150584-01-[Fe13Ge3]	-1.58972	-1.58828
icsd-167735-01-[Ru2B3]	-1.53618	-1.53584
icsd-105521-01-[Al5W]	-1.51651	-1.51632
icsd-97006-01-[InMg2]	-1.37205	-1.37222
icsd-58745-10-[Fe6Ge6Mg]	-1.15925	-1.15741

Lattice parameters (CoU(Ba)(x=0.50))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.604	7.018	7.018	7.018	90.0	90.0	90.0
DFT	21.49	7.006	7.006	7.006	90.0	90.0	90.0

Elastic constants (CoU(Ba)(x=0.50))

1	2	3	4	5	6
65.2	22.4	22.4	0.0	0.0	0.0
22.4	65.2	22.4	0.0	0.0	0.0
22.4	22.4	65.2	0.0	0.0	0.0
0.0	0.0	0.0	17.5	0.0	0.0
0.0	0.0	0.0	0.0	17.5	0.0
0.0	0.0	0.0	0.0	0.0	17.5

Lattice parameters (InNi2(B82)(x=0.33))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.73	5.238	5.238	6.244	90.0	90.0	120.0
DFT	24.766	5.223	5.223	6.29	90.0	90.0	120.0

Elastic constants (InNi2(B82)(x=0.33))

1	2	3	4	5	6
36.8	9.0	3.1	0.0	0.0	0.0
9.0	36.8	3.1	0.0	0.0	0.0
3.1	3.1	38.5	0.0	0.0	0.0
0.0	0.0	0.0	8.4	0.0	0.0
0.0	0.0	0.0	0.0	8.4	0.0
0.0	0.0	0.0	0.0	0.0	13.9

Lattice parameters (WC(Bh)(x=0.50))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.944	2.964	4.192	4.766	90.0	90.0	135.0
DFT	21.958	3.188	3.188	4.989	90.0	90.0	120.0

Elastic constants (WC(Bh)(x=0.50))

1	2	3	4	5	6
68.1	11.6	15.6	0.0	0.0	0.0
11.6	68.1	15.6	0.0	0.0	0.0
15.6	15.6	123.5	0.0	0.0	0.0
0.0	0.0	0.0	22.1	0.0	0.0
0.0	0.0	0.0	0.0	22.1	0.0
0.0	0.0	0.0	0.0	0.0	17.0

Lattice parameters (MoNi4(D1a)(x=0.20))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	27.81	7.478	7.478	4.973	90.0	90.0	90.0
DFT	26.681	7.207	7.207	5.137	90.0	90.0	90.0

Elastic constants (MoNi4(D1a)(x=0.20))

1	2	3	4	5	6
24.9	8.7	16.2	0.0	0.0	-6.1
8.7	24.9	16.2	0.0	0.0	6.1
16.2	16.2	44.7	0.0	0.0	0.0
0.0	0.0	0.0	16.9	0.0	0.0
0.0	0.0	0.0	0.0	16.9	0.0
-6.1	6.1	0.0	0.0	0.0	13.2

Lattice parameters (Al3Ti(D022)(x=0.75))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	19.921	4.256	4.256	8.798	90.0	90.0	90.0
DFT	19.922	4.256	4.256	8.799	90.0	90.0	90.0

Elastic constants (Al3Ti(D022)(x=0.75))

1	2	3	4	5	6
83.9	84.5	56.3	0.0	0.0	0.0
84.5	83.9	56.3	0.0	0.0	0.0
56.3	56.3	122.7	0.0	0.0	0.0
0.0	0.0	0.0	15.5	0.0	0.0
0.0	0.0	0.0	0.0	15.5	0.0
0.0	0.0	0.0	0.0	0.0	25.1

Lattice parameters (CsCl(B2)(x=0.50))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.919	3.526	3.526	3.526	90.0	90.0	90.0
DFT	21.739	3.516	3.516	3.516	90.0	90.0	90.0

Elastic constants (CsCl(B2)(x=0.50))

1	2	3	4	5	6
25.3	37.2	37.2	0.0	0.0	0.0
37.2	25.3	37.2	0.0	0.0	0.0
37.2	37.2	25.3	0.0	0.0	0.0
0.0	0.0	0.0	34.8	0.0	0.0
0.0	0.0	0.0	0.0	34.8	0.0
0.0	0.0	0.0	0.0	0.0	34.8

Lattice parameters (AuCu3(L12)(x=0.25))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.964	4.7	4.7	4.7	90.0	90.0	90.0
DFT	26.144	4.711	4.711	4.711	90.0	90.0	90.0

Elastic constants (AuCu3(L12)(x=0.25))

1	2	3	4	5	6
21.7	15.8	15.8	0.0	0.0	0.0
15.8	21.7	15.8	0.0	0.0	0.0
15.8	15.8	21.7	0.0	0.0	0.0
0.0	0.0	0.0	10.7	0.0	0.0
0.0	0.0	0.0	0.0	10.7	0.0
0.0	0.0	0.0	0.0	0.0	10.7

Lattice parameters (Cu2Sb(C38)(x=0.33))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	23.196	3.132	5.067	8.77	90.0	90.0	90.0
DFT	26.053	4.187	4.187	8.915	90.0	90.0	90.0

Elastic constants (Cu2Sb(C38)(x=0.33))

1	2	3	4	5	6
64.3	14.6	8.8	0.0	0.0	0.0
14.6	88.6	15.3	0.0	0.0	0.0
8.8	15.3	95.7	0.0	0.0	0.0
0.0	0.0	0.0	35.6	0.0	0.0
0.0	0.0	0.0	0.0	10.0	0.0
0.0	0.0	0.0	0.0	0.0	17.1

Lattice parameters (Al3Zr(D023)(x=0.75))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.085	4.292	4.292	17.443	90.0	90.0	90.0
DFT	19.973	4.265	4.265	17.567	90.0	90.0	90.0

Elastic constants (Al3Zr(D023)(x=0.75))

1	2	3	4	5	6
72.0	58.7	47.6	0.0	0.0	0.0
58.7	72.0	47.6	0.0	0.0	0.0
47.6	47.6	114.0	0.0	0.0	0.0
0.0	0.0	0.0	15.1	0.0	0.0
0.0	0.0	0.0	0.0	15.1	0.0
0.0	0.0	0.0	0.0	0.0	24.5

Lattice parameters (FeSi(B20)(x=0.50))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	22.519	5.648	5.648	5.648	90.0	90.0	90.0
DFT	22.762	5.668	5.668	5.668	90.0	90.0	90.0

Elastic constants (FeSi(B20)(x=0.50))

1	2	3	4	5	6
-173572.0	86828.8	86828.8	0.0	0.0	1.6
86828.8	-173572.0	86828.8	1.6	0.0	0.0
86828.8	86828.8	-173572.0	0.0	1.6	0.0
0.0	1.6	0.0	-22.3	0.0	0.0
0.0	0.0	1.6	0.0	-22.3	0.0
1.6	0.0	0.0	0.0	0.0	-22.3

Lattice parameters (Si2U3(D5a)(x=0.40))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.705	8.3	8.3	3.586	90.0	90.0	90.0
DFT	24.712	8.316	8.316	3.573	90.0	90.0	90.0

Elastic constants (Si2U3(D5a)(x=0.40))

1	2	3	4	5	6
43.1	32.1	15.2	0.0	0.0	0.0
32.1	43.1	15.2	0.0	0.0	0.0
15.2	15.2	28.3	0.0	0.0	0.0
0.0	0.0	0.0	20.0	0.0	0.0
0.0	0.0	0.0	0.0	20.0	0.0
0.0	0.0	0.0	0.0	0.0	28.4

Lattice parameters (Ni3Sn(D019)(x=0.25))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	26.247	6.653	6.653	5.478	90.0	90.0	120.0
DFT	26.232	6.703	6.703	5.394	90.0	90.0	120.0

Elastic constants (Ni3Sn(D019)(x=0.25))

1	2	3	4	5	6
17.7	17.0	10.2	0.0	0.0	0.0
17.0	17.7	10.2	0.0	0.0	0.0
10.2	10.2	40.7	0.0	0.0	0.0
0.0	0.0	0.0	-0.5	0.0	0.0
0.0	0.0	0.0	0.0	-0.5	0.0
0.0	0.0	0.0	0.0	0.0	0.4

Lattice parameters (Fe2P(C22)(x=0.67))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.582	4.105	15.44	7.265	90.0	90.0	90.0
DFT	24.895	4.147	14.971	7.217	90.0	90.0	90.0

Elastic constants (Fe2P(C22)(x=0.67))

1	2	3	4	5	6
54.8	16.9	26.9	0.0	0.0	0.0
16.9	67.1	26.8	0.0	0.0	0.0
26.9	26.8	53.0	0.0	0.0	0.0
0.0	0.0	0.0	24.3	0.0	0.0
0.0	0.0	0.0	0.0	9.6	0.0
0.0	0.0	0.0	0.0	0.0	-7.8

Lattice parameters (Cu2Sb(C38)(x=0.67))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	23.632	4.531	4.531	6.907	90.0	90.0	90.0
DFT	23.722	4.552	4.552	6.87	90.0	90.0	90.0

Elastic constants (Cu2Sb(C38)(x=0.67))

1	2	3	4	5	6
59.9	41.0	41.0	0.0	0.0	0.0
41.0	59.9	41.0	0.0	0.0	0.0
41.0	41.0	122.1	0.0	0.0	0.0
0.0	0.0	0.0	18.9	0.0	0.0
0.0	0.0	0.0	0.0	18.9	0.0
0.0	0.0	0.0	0.0	0.0	25.5

Lattice parameters (Ni3Sn(D019)(x=0.75))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	22.505	6.51	6.025	4.848	90.0	90.0	108.77
DFT	21.778	6.368	6.368	4.962	90.0	90.0	120.0

Elastic constants (Ni3Sn(D019)(x=0.75))

1	2	3	4	5	6
41.0	26.5	17.7	0.0	0.0	-2.0
26.5	45.2	20.2	0.0	0.0	-5.8
17.7	20.2	71.6	0.0	0.0	3.0
0.0	0.0	0.0	6.6	-1.1	0.0
0.0	0.0	0.0	-1.1	16.7	0.0
-2.0	-5.8	3.0	0.0	0.0	10.1

Lattice parameters (Ni3Ti(D024)(x=0.75))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.086	6.108	6.108	9.948	90.0	90.0	120.0
DFT	20.583	6.234	6.234	9.786	90.0	90.0	120.0

Elastic constants (Ni3Ti(D024)(x=0.75))

1	2	3	4	5	6
88.7	31.2	53.8	0.0	0.0	0.0
31.2	88.7	53.8	0.0	0.0	0.0
53.8	53.8	124.4	0.0	0.0	0.0
0.0	0.0	0.0	17.2	0.0	0.0
0.0	0.0	0.0	0.0	17.2	0.0
0.0	0.0	0.0	0.0	0.0	28.8

Lattice parameters (Fe2P(C22)(x=0.33))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	23.451	8.803	8.803	3.145	90.0	90.0	120.0
DFT	23.867	8.905	8.905	3.128	90.0	90.0	120.0

Elastic constants (Fe2P(C22)(x=0.33))

1	2	3	4	5	6
78.2	24.0	14.1	0.0	0.0	0.0
24.0	78.2	14.1	0.0	0.0	0.0
14.1	14.1	55.5	0.0	0.0	0.0
0.0	0.0	0.0	8.4	0.0	0.0
0.0	0.0	0.0	0.0	8.4	0.0
0.0	0.0	0.0	0.0	0.0	27.1

Lattice parameters (MoNi4(D1a)(x=0.80))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	22.635	7.928	7.928	3.601	90.0	90.0	90.0
DFT	21.858	7.747	7.747	3.642	90.0	90.0	90.0

Elastic constants (MoNi4(D1a)(x=0.80))

1	2	3	4	5	6
63.6	31.0	33.5	0.0	0.0	-0.8
31.0	63.6	33.5	0.0	0.0	0.8
33.5	33.5	78.7	0.0	0.0	0.0
0.0	0.0	0.0	5.1	0.0	0.0
0.0	0.0	0.0	0.0	5.1	0.0
-0.8	0.8	0.0	0.0	0.0	34.6

Lattice parameters (MgZn2(C14)(x=0.33))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	23.537	4.254	7.114	9.781	90.0	90.0	107.4
DFT	25.056	5.81	5.81	10.285	90.0	90.0	120.0

Elastic constants (MgZn2(C14)(x=0.33))

1	2	3	4	5	6
44.4	21.6	13.9	0.0	0.0	0.0
21.6	74.3	0.5	0.0	0.0	0.0
13.9	0.5	12.6	0.0	0.0	0.0
0.0	0.0	0.0	-0.8	0.0	0.0
0.0	0.0	0.0	0.0	10.3	0.0
0.0	0.0	0.0	0.0	0.0	16.5

Lattice parameters (CrSi2(C40)(x=0.67))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.514	6.007	6.105	7.023	95.04	79.72	119.47
DFT	21.455	5.386	5.386	7.687	90.0	90.0	120.0

Elastic constants (CrSi2(C40)(x=0.67))

1	2	3	4	5	6
28.0	12.1	17.7	0.0	5.3	0.0
12.1	13.6	13.7	0.0	1.9	0.0
17.7	13.7	44.4	0.0	6.7	0.0
0.0	0.0	0.0	4.6	0.0	-1.5
5.3	1.9	6.7	0.0	11.9	0.0
0.0	0.0	0.0	-1.5	0.0	1.6

Lattice parameters (AlCu2Mn(L21)(x=0.75))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.249	6.868	6.868	6.868	90.0	90.0	90.0
DFT	20.317	6.876	6.876	6.876	90.0	90.0	90.0

Elastic constants (AlCu2Mn(L21)(x=0.75))

1	2	3	4	5	6
6.5	55.3	55.3	0.0	0.0	0.0
55.3	6.5	55.3	0.0	0.0	0.0
55.3	55.3	6.5	0.0	0.0	0.0
0.0	0.0	0.0	0.6	0.0	0.0
0.0	0.0	0.0	0.0	0.6	0.0
0.0	0.0	0.0	0.0	0.0	0.6

Lattice parameters (InNi2(B82)(x=0.67))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	23.429	6.215	6.215	6.774	90.0	90.0	147.5
DFT	20.744	4.943	4.943	5.883	90.0	90.0	120.0

Elastic constants (InNi2(B82)(x=0.67))

1	2	3	4	5	6
37.9	28.7	25.6	0.0	0.0	4.9
28.7	79.8	46.4	0.0	0.0	8.5
25.6	46.4	53.2	0.0	0.0	6.6
0.0	0.0	0.0	21.9	1.0	0.0
0.0	0.0	0.0	1.0	18.9	0.0
4.9	8.5	6.6	0.0	0.0	13.4

Lattice parameters (AuCu3(L12)(x=0.75))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.059	4.313	4.313	4.313	90.0	90.0	90.0
DFT	19.78	4.293	4.293	4.293	90.0	90.0	90.0

Elastic constants (AuCu3(L12)(x=0.75))

1	2	3	4	5	6
67.6	38.0	38.0	0.0	0.0	0.0
38.0	67.6	38.0	0.0	0.0	0.0
38.0	38.0	67.6	0.0	0.0	0.0
0.0	0.0	0.0	23.0	0.0	0.0
0.0	0.0	0.0	0.0	23.0	0.0
0.0	0.0	0.0	0.0	0.0	23.0

Lattice parameters (NiAs(B81)(x=0.50))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.944	2.964	4.192	9.533	90.0	90.0	135.0
DFT	21.955	3.178	3.178	10.042	90.0	90.0	120.0

Elastic constants (NiAs(B81)(x=0.50))

1	2	3	4	5	6
68.1	11.6	15.6	0.0	0.0	0.0
11.6	68.1	15.6	0.0	0.0	0.0
15.6	15.6	123.5	0.0	0.0	0.0
0.0	0.0	0.0	22.1	0.0	0.0
0.0	0.0	0.0	0.0	22.1	0.0
0.0	0.0	0.0	0.0	0.0	17.0

Lattice parameters (Al3Ti(D022)(x=0.25))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.065	4.678	4.678	9.164	90.0	90.0	90.0
DFT	25.097	4.679	4.679	9.172	90.0	90.0	90.0

Elastic constants (Al3Ti(D022)(x=0.25))

1	2	3	4	5	6
32.6	14.7	13.4	0.0	0.0	0.0
14.7	32.6	13.4	0.0	0.0	0.0
13.4	13.4	47.4	0.0	0.0	0.0
0.0	0.0	0.0	15.9	0.0	0.0
0.0	0.0	0.0	0.0	15.9	0.0
0.0	0.0	0.0	0.0	0.0	6.0

Lattice parameters (Si2U3(D5a)(x=0.60))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	22.421	8.904	8.904	2.828	90.0	90.0	90.0
DFT	22.365	8.891	8.891	2.829	90.0	90.0	90.0

Elastic constants (Si2U3(D5a)(x=0.60))

1	2	3	4	5	6
-70642.9	205494.7	-10524.3	0.0	0.0	16402.1
205494.7	-217942.4	29.2	0.0	0.0	0.0
-10524.3	29.2	77.2	0.0	0.0	0.0
0.0	0.0	0.0	9.8	0.0	0.0
0.0	0.0	0.0	0.0	9.8	0.0
16402.1	0.0	0.0	0.0	0.0	18.8

Lattice parameters (MgZn2(C14)(x=0.67))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.301	5.722	5.722	9.016	90.0	90.0	120.0
DFT	21.478	5.707	5.707	9.136	90.0	90.0	120.0

Elastic constants (MgZn2(C14)(x=0.67))

1	2	3	4	5	6
126.4	73.3	27.8	0.0	0.0	0.0
73.3	126.4	27.8	0.0	0.0	0.0
27.8	27.8	83.5	0.0	0.0	0.0
0.0	0.0	0.0	14.4	0.0	0.0
0.0	0.0	0.0	0.0	14.4	0.0
0.0	0.0	0.0	0.0	0.0	26.5

Lattice parameters (CrSi2(C40)(x=0.33))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	26.049	5.264	5.264	11.506	117.23	62.77	120.0
DFT	24.531	5.532	5.532	8.331	90.0	90.0	120.0

Elastic constants (CrSi2(C40)(x=0.33))

1	2	3	4	5	6
23.2	11.5	9.6	-1.7	0.0	0.0
11.5	23.2	9.6	1.7	0.0	0.0
9.6	9.6	54.9	0.0	0.0	0.0
-1.7	1.7	0.0	5.4	0.0	0.0
0.0	0.0	0.0	0.0	5.4	-0.8
0.0	0.0	0.0	0.0	-0.8	5.3

Lattice parameters (NaTl(B32)(x=0.50))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	22.086	7.07	7.07	7.07	90.0	90.0	90.0
DFT	22.016	7.062	7.062	7.062	90.0	90.0	90.0

Elastic constants (NaTl(B32)(x=0.50))

1	2	3	4	5	6
34.7	49.1	49.1	0.0	0.0	0.0
49.1	34.7	49.1	0.0	0.0	0.0
49.1	49.1	34.7	0.0	0.0	0.0
0.0	0.0	0.0	-14.9	0.0	0.0
0.0	0.0	0.0	0.0	-14.9	0.0
0.0	0.0	0.0	0.0	0.0	-14.9

Lattice parameters (Ni3Ti(D024)(x=0.25))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	26.423	6.709	6.709	10.846	90.0	90.0	120.0
DFT	26.123	6.668	6.668	10.854	90.0	90.0	120.0

Elastic constants (Ni3Ti(D024)(x=0.25))

1	2	3	4	5	6
20.0	13.6	11.8	0.0	0.0	0.0
13.6	20.0	11.8	0.0	0.0	0.0
11.8	11.8	30.8	0.0	0.0	0.0
0.0	0.0	0.0	4.4	0.0	0.0
0.0	0.0	0.0	0.0	4.4	0.0
0.0	0.0	0.0	0.0	0.0	3.2

Lattice parameters (Al3Zr(D023)(x=0.25))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.989	4.709	4.709	18.755	90.0	90.0	90.0
DFT	25.657	4.619	4.619	19.244	90.0	90.0	90.0

Elastic constants (Al3Zr(D023)(x=0.25))

1	2	3	4	5	6
36.0	17.5	19.5	0.0	0.0	0.0
17.5	36.0	19.5	0.0	0.0	0.0
19.5	19.5	53.7	0.0	0.0	0.0
0.0	0.0	0.0	13.2	0.0	0.0
0.0	0.0	0.0	0.0	13.2	0.0
0.0	0.0	0.0	0.0	0.0	12.0

Lattice parameters (AuCu(L10)(x=0.50))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.944	2.964	2.964	4.766	90.0	90.0	90.0
DFT	20.971	2.969	2.969	4.758	90.0	90.0	90.0

Elastic constants (AuCu(L10)(x=0.50))

1	2	3	4	5	6
68.1	11.6	15.6	0.0	0.0	0.0
11.6	68.1	15.6	0.0	0.0	0.0
15.6	15.6	123.5	0.0	0.0	0.0
0.0	0.0	0.0	22.1	0.0	0.0
0.0	0.0	0.0	0.0	22.1	0.0
0.0	0.0	0.0	0.0	0.0	17.0

Lattice parameters (AlCu2Mn(L21)(x=0.25))

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.923	7.36	7.36	7.36	90.0	90.0	90.0
DFT	25.217	7.389	7.389	7.389	90.0	90.0	90.0

Elastic constants (AlCu2Mn(L21)(x=0.25))

1	2	3	4	5	6
54.7	22.9	22.9	0.0	0.0	0.0
22.9	54.7	22.9	0.0	0.0	0.0
22.9	22.9	54.7	0.0	0.0	0.0
0.0	0.0	0.0	13.1	0.0	0.0
0.0	0.0	0.0	0.0	13.1	0.0
0.0	0.0	0.0	0.0	0.0	13.1