gtinv-182 (Li-Be-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	Li
1.0	0.0	Be

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]	-3.45722	-3.45645
icsd-97006-10-[InMg2]	-3.34923	-3.34959
icsd-105521-10-[Al5W]	-3.23787	-3.23759
icsd-150584-10-[Fe13Ge3]	-3.21771	-3.22197
icsd-107998-10-[MoNi4]	-3.21241	-3.21248
icsd-167735-10-[Ru2B3]	-3.19016	-3.18946
icsd-42773-10-[IrGe4]	-3.08802	-3.08336
icsd-189695-01-[CuHg2Ti]	-3.05942	-3.05942
icsd-188260-10-[Heusler-AlCu2Mn]	-3.05942	-3.05942
icsd-420250-01-[LiPd2Tl]	-3.05942	-3.0595
icsd-105191-01-[Al3Ti]	-3.05942	-3.0595
icsd-643301-01-[Au3Cd]	-3.04954	-3.04877
icsd-640726-10-[CuSmP2]	-3.04954	-3.04877
icsd-416747-01-[Al3Zr]	-3.04953	-3.04877
icsd-104506-01-[Ni3Sn]	-2.99825	-2.9978
icsd-260285-01-[UCl3]	-2.99822	-2.99773
icsd-649037-01-[Ni3Ti]	-2.96811	-2.96696
icsd-181127-10-[Auricupride-AuCu3]	-2.94802	-2.94797
icsd-69199-01-[U3Si]	-2.94802	-2.9479
icsd-609153-01-[AlPt3]	-2.94802	-2.94793
icsd-99787-10-[Fe3Pt]	-2.94802	-2.94797
icsd-648572-01-[CuInPt2]	-2.94802	-2.94797
icsd-246555-10-[Co2Nd]	-2.91903	-2.91886
icsd-625334-01-[Laves(2H)-MgZn2]	-2.91607	-2.91614
icsd-58471-01-[CuZr2]	-2.84928	-2.84843
icsd-58607-10-[Au2Ti]	-2.84926	-2.84846
icsd-652553-10-[AlCr2-MoSi2]	-2.84921	-2.8485
icsd-648748-10-[Pd4Se]	-2.81833	-2.8183
icsd-69557-10-[CdI2(hP9)]	-2.81358	-2.81407
icsd-611176-01-[Fe2P]	-2.8086	-2.81202
icsd-155842-10-[Co5Fe11]	-2.80606	-2.80684
icsd-161133-10-[Fe2Si(HT)]	-2.7588	-2.75885
icsd-105948-01-[InNi2]	-2.7588	-2.75885
icsd-409859-10-[La2Sb]	-2.74829	-2.74814
icsd-659829-01-[Al2Li3]	-2.74672	-2.74798
icsd-105726-01-[Pd5Ti3]	-2.71631	-2.71666
icsd-610464-10-[PbClF/Cu2Sb]	-2.70056	-2.70003
icsd-16504-01-[CrSi2]	-2.69241	-2.69225
icsd-629406-10-[Cu4Ti3]	-2.66318	-2.66369
icsd-169457-10-[ZrH2]	-2.64287	-2.64244
icsd-629380-10-[Al3Os2]	-2.63801	-2.63796
icsd-103995-01-[Ga3Ti2]	-2.60189	-2.60105
icsd-635642-01-[Hg5Mn2]	-2.59293	-2.59326
icsd-635208-10-[CoGa3]	-2.54202	-2.54486
icsd-59586-01-[Pd5Th3]	-2.53656	-2.53672
icsd-639879-10-[In5In4]	-2.4975	-2.49707
icsd-5258-01-[FeSi2]	-2.48903	-2.48864
icsd-239-10-[Cu3Se2]	-2.44714	-2.44738
icsd-103775-01-[NaTl]	-2.4397	-2.43961
icsd-240119-01-[AlLi]	-2.43968	-2.43959
icsd-105636-01-[PbU]	-2.43964	-2.43952
icsd-611457-01-[NbAs]	-2.43964	-2.43951
icsd-100654-01-[BiSe]	-2.40895	-2.40887
icsd-659806-01-[GeTe(subcell)]	-2.40031	-2.40032
icsd-639037-01-[HgIn]	-2.40031	-2.40032
icsd-52294-01-[GeTe(supercell)]	-2.40031	-2.40032
icsd-611618-01-[TiAs]	-2.39776	-2.39767
icsd-618702-01-[ScTe]	-2.39774	-2.39767
icsd-16606-01-[Nb3Te4]	-2.39684	-2.40382
icsd-626692-01-[Nickeline-NiAs]	-2.39555	-2.39477
icsd-168897-01-[LaI]	-2.39555	-2.39477
icsd-644708-01-[WC]	-2.39524	-2.39499
icsd-659856-01-[LiPt]	-2.39524	-2.39499
icsd-639227-10-[Si2U3]	-2.38831	-2.38858
icsd-655706-10-[Cu2Te(HT)]	-2.36956	-2.36986
icsd-42428-01-[Fe3Pt]	-2.35252	-2.35238
icsd-106325-01-[BiIn]	-2.35251	-2.35258
icsd-108707-01-[HgMn]	-2.35251	-2.35237
icsd-59508-01-[AuCu]	-2.35251	-2.35237
icsd-633467-01-[FeSe(tP2)]	-2.35251	-2.35237
icsd-618295-01-[MoC1-x]	-2.34677	-2.34707
icsd-30446-01-[Fe2B]	-2.34543	-2.34534
icsd-262070-01-[AlLi(hP8)]	-2.33869	-2.33622
icsd-16606-10-[Nb3Te4]	-2.33366	-2.31946
icsd-639879-01-[In5In4]	-2.32326	-2.3234
icsd-239-01-[Cu3Se2]	-2.3215	-2.32136
icsd-629406-01-[Cu4Ti3]	-2.31816	-2.31807
icsd-102712-01-[CoU]	-2.31195	-2.30775
icsd-73839-10-[Ni3S2]	-2.31019	-2.31082
icsd-189711-01-[Heusler(alloy)-AlLiSi]	-2.30294	-2.3031
icsd-650527-01-[CsCl]	-2.29348	-2.29446
icsd-659829-10-[Al2Li3]	-2.25156	-2.25672
icsd-635060-01-[Fersilicite-FeSi]	-2.23653	-2.2354
icsd-424636-10-[MnGa4]	-2.21927	-2.21815
icsd-108762-10-[Hg4Pt]	-2.21927	-2.21814
icsd-639148-10-[NiHg4]	-2.21927	-2.21814
icsd-103995-10-[Ga3Ti2]	-2.19545	-2.1958
icsd-55492-01-[BaPt]	-2.17113	-2.16849
icsd-106786-10-[Hg2Pt]	-2.16059	-2.16087
icsd-185626-10-[Al3Ni2]	-2.15453	-2.15308
icsd-629380-01-[Al3Os2]	-2.15279	-2.15289
icsd-30446-10-[Fe2B]	-2.14239	-2.14297
icsd-639227-01-[Si2U3]	-2.14052	-2.13956
icsd-59586-10-[Pd5Th3]	-2.11872	-2.11817
icsd-105726-10-[Pd5Ti3]	-2.1116	-2.11178
icsd-185626-01-[Al3Ni2]	-2.09849	-2.09695
icsd-611176-10-[Fe2P]	-2.06859	-2.07015
icsd-248490-10-[Pt2Si]	-2.0567	-2.05675
icsd-638227-10-[Fluorite-CaF2]	-2.0567	-2.05691
icsd-58471-10-[CuZr2]	-2.05285	-2.05236
icsd-652553-01-[AlCr2-MoSi2]	-2.05223	-2.05238
icsd-58607-01-[Au2Ti]	-2.05206	-2.05235
icsd-69557-01-[CdI2(hP9)]	-2.04804	-2.04802
icsd-5258-10-[FeSi2]	-2.03109	-2.03133
icsd-655706-01-[Cu2Te(HT)]	-2.01073	-2.01826
icsd-635642-10-[Hg5Mn2]	-2.00196	-1.99789
icsd-16504-10-[CrSi2]	-1.99634	-1.99506
icsd-155842-01-[Co5Fe11]	-1.97768	-1.97972
icsd-161133-01-[Fe2Si(HT)]	-1.96324	-1.96252
icsd-105948-10-[InNi2]	-1.96324	-1.96252
icsd-106786-01-[Hg2Pt]	-1.94274	-1.94272
icsd-640726-01-[CuSmP2]	-1.93469	-1.93198
icsd-416747-10-[Al3Zr]	-1.93463	-1.932
icsd-643301-10-[Au3Cd]	-1.93458	-1.93205
icsd-625334-10-[Laves(2H)-MgZn2]	-1.90686	-1.90508
icsd-188260-01-[Heusler-AlCu2Mn]	-1.90014	-1.89861
icsd-189695-10-[CuHg2Ti]	-1.90014	-1.89861
icsd-105191-10-[Al3Ti]	-1.89894	-1.89984
icsd-420250-10-[LiPd2Tl]	-1.89894	-1.89984
icsd-409859-01-[La2Sb]	-1.89765	-1.89745
icsd-635208-01-[CoGa3]	-1.89475	-1.89527
icsd-104506-10-[Ni3Sn]	-1.89091	-1.88967
icsd-260285-10-[UCl3]	-1.89089	-1.88973
icsd-610464-01-[PbClF/Cu2Sb]	-1.88675	-1.88755
icsd-649037-10-[Ni3Ti]	-1.88202	-1.88849
icsd-99787-01-[Fe3Pt]	-1.877	-1.87754
icsd-609153-10-[AlPt3]	-1.87699	-1.87756
icsd-648572-10-[CuInPt2]	-1.87699	-1.87754
icsd-181127-01-[Auricupride-AuCu3]	-1.87699	-1.87754
icsd-69199-10-[U3Si]	-1.87688	-1.87749
icsd-107998-01-[MoNi4]	-1.84619	-1.84543
icsd-246555-01-[Co2Nd]	-1.83693	-1.83696
icsd-42472-01-[CoO]	-1.82638	-1.82641
icsd-181788-01-[NaCl]	-1.82638	-1.82637
icsd-150584-01-[Fe13Ge3]	-1.82187	-1.81712
icsd-167735-01-[Ru2B3]	-1.82111	-1.82101
icsd-73839-01-[Ni3S2]	-1.81009	-1.8127
icsd-648748-01-[Pd4Se]	-1.808	-1.80894
icsd-105521-01-[Al5W]	-1.7944	-1.79568
icsd-42773-01-[IrGe4]	-1.78757	-1.77695
icsd-161109-01-[CoSn]	-1.77186	-1.7713
icsd-97006-01-[InMg2]	-1.72449	-1.72463
icsd-169457-01-[ZrH2]	-1.71241	-1.71204
icsd-248490-01-[Pt2Si]	-1.71241	-1.71201
icsd-638227-01-[Fluorite-CaF2]	-1.71241	-1.712
icsd-424636-01-[MnGa4]	-1.6626	-1.66234
icsd-108762-01-[Hg4Pt]	-1.6626	-1.66234
icsd-639148-01-[NiHg4]	-1.6626	-1.66234
icsd-189711-10-[Heusler(alloy)-AlLiSi]	-1.62567	-1.62523
icsd-58745-10-[Fe6Ge6Mg]	-1.55389	-1.56467

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.618	5.707	5.707	5.707	90.0	90.0	90.0
DFT	11.804	5.737	5.737	5.737	90.0	90.0	90.0

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

1	2	3	4	5	6
65.2	46.8	46.8	0.0	0.0	0.0
46.8	65.2	46.8	0.0	0.0	0.0
46.8	46.8	65.2	0.0	0.0	0.0
0.0	0.0	0.0	38.3	0.0	0.0
0.0	0.0	0.0	0.0	38.3	0.0
0.0	0.0	0.0	0.0	0.0	38.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	13.945	4.369	4.369	5.063	90.0	90.0	120.0
DFT	13.754	4.359	4.359	5.015	90.0	90.0	120.0

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

1	2	3	4	5	6
67.1	15.2	-6.2	0.0	0.0	0.0
15.2	67.1	-6.2	0.0	0.0	0.0
-6.2	-6.2	76.8	0.0	0.0	0.0
0.0	0.0	0.0	-5.3	0.0	0.0
0.0	0.0	0.0	0.0	-5.3	0.0
0.0	0.0	0.0	0.0	0.0	25.9

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	10.86	2.351	2.351	4.256	90.0	90.0	112.56
DFT	10.855	2.396	2.396	4.366	90.0	90.0	120.0

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

1	2	3	4	5	6
148.8	52.7	-10.5	0.0	0.0	-19.9
52.7	123.3	9.3	0.0	0.0	-10.8
-10.5	9.3	164.7	0.0	0.0	23.9
0.0	0.0	0.0	42.3	21.4	0.0
0.0	0.0	0.0	21.4	24.5	0.0
-19.9	-10.8	23.9	0.0	0.0	50.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	15.488	6.841	5.198	4.448	90.0	90.0	78.27
DFT	15.676	6.261	6.261	3.999	90.0	90.0	90.0

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

1	2	3	4	5	6
61.7	27.3	4.0	0.0	0.0	-1.5
27.3	42.0	25.9	0.0	0.0	13.4
4.0	25.9	55.5	0.0	0.0	-3.3
0.0	0.0	0.0	25.6	-5.8	0.0
0.0	0.0	0.0	-5.8	4.3	0.0
-1.5	13.4	-3.3	0.0	0.0	24.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	8.954	5.232	5.232	5.232	90.0	90.0	90.0
DFT	8.958	5.233	5.233	5.233	90.0	90.0	90.0

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

1	2	3	4	5	6
156.9	65.7	65.7	0.0	0.0	0.0
65.7	156.9	65.7	0.0	0.0	0.0
65.7	65.7	156.9	0.0	0.0	0.0
0.0	0.0	0.0	127.6	0.0	0.0
0.0	0.0	0.0	0.0	127.6	0.0
0.0	0.0	0.0	0.0	0.0	127.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.294	2.827	2.827	2.827	90.0	90.0	90.0
DFT	11.245	2.823	2.823	2.823	90.0	90.0	90.0

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

1	2	3	4	5	6
26.6	52.6	52.6	0.0	0.0	0.0
52.6	26.6	52.6	0.0	0.0	0.0
52.6	52.6	26.6	0.0	0.0	0.0
0.0	0.0	0.0	84.1	0.0	0.0
0.0	0.0	0.0	0.0	84.1	0.0
0.0	0.0	0.0	0.0	0.0	84.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	14.464	3.868	3.868	3.868	90.0	90.0	90.0
DFT	14.831	3.9	3.9	3.9	90.0	90.0	90.0

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

1	2	3	4	5	6
3.9	22.0	22.0	0.0	0.0	0.0
22.0	3.9	22.0	0.0	0.0	0.0
22.0	22.0	3.9	0.0	0.0	0.0
0.0	0.0	0.0	26.8	0.0	0.0
0.0	0.0	0.0	0.0	26.8	0.0
0.0	0.0	0.0	0.0	0.0	26.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	12.791	4.38	2.31	7.585	90.0	90.0	90.0
DFT	14.686	3.546	3.546	7.009	90.0	90.0	90.0

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

1	2	3	4	5	6
116.3	9.9	46.0	0.0	0.0	0.0
9.9	125.6	7.6	0.0	0.0	0.0
46.0	7.6	111.5	0.0	0.0	0.0
0.0	0.0	0.0	50.3	0.0	0.0
0.0	0.0	0.0	0.0	31.9	0.0
0.0	0.0	0.0	0.0	0.0	2.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	8.924	3.738	3.738	10.222	90.0	90.0	90.0
DFT	8.946	3.751	3.751	10.172	90.0	90.0	90.0

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

1	2	3	4	5	6
267.5	-31.3	55.5	0.0	0.0	0.0
-31.3	267.5	55.5	0.0	0.0	0.0
55.5	55.5	155.6	0.0	0.0	0.0
0.0	0.0	0.0	125.6	0.0	0.0
0.0	0.0	0.0	0.0	125.6	0.0
0.0	0.0	0.0	0.0	0.0	49.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.457	4.509	4.509	4.509	90.0	90.0	90.0
DFT	11.571	4.524	4.524	4.524	90.0	90.0	90.0

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

1	2	3	4	5	6
-878.9	524.3	524.3	0.0	0.0	0.0
524.3	-878.8	524.3	0.0	0.0	0.0
524.3	524.3	-878.8	0.0	0.0	0.0
0.0	0.0	0.0	-736829.0	0.0	0.0
0.0	0.0	0.0	0.0	-736829.0	0.0
0.0	0.0	0.0	0.0	0.0	-736829.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	13.403	7.249	7.249	2.551	90.0	90.0	90.0
DFT	13.287	7.378	7.378	2.441	90.0	90.0	90.0

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

1	2	3	4	5	6
36.5	42.5	17.6	0.0	0.0	0.0
42.5	36.5	17.6	0.0	0.0	0.0
17.6	17.6	37.0	0.0	0.0	0.0
0.0	0.0	0.0	-49.7	0.0	0.0
0.0	0.0	0.0	0.0	-49.7	0.0
0.0	0.0	0.0	0.0	0.0	48.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	15.586	5.69	8.653	3.9	90.0	90.0	139.5
DFT	14.927	5.506	5.506	4.549	90.0	90.0	120.0

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

1	2	3	4	5	6
40.8	-2.4	20.8	0.0	0.0	2.5
-2.4	41.2	21.6	0.0	0.0	-1.3
20.8	21.6	35.7	0.0	0.0	2.4
0.0	0.0	0.0	25.9	8.0	0.0
0.0	0.0	0.0	8.0	23.3	0.0
2.5	-1.3	2.4	0.0	0.0	10.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.66	2.238	11.659	6.663	90.0	90.0	90.0
DFT	9.813	2.232	11.704	6.761	90.0	90.0	90.0

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

1	2	3	4	5	6
201.4	16.1	18.5	0.0	0.0	0.0
16.1	184.5	31.4	0.0	0.0	0.0
18.5	31.4	207.4	0.0	0.0	0.0
0.0	0.0	0.0	73.0	0.0	0.0
0.0	0.0	0.0	0.0	-133617.3	0.0
0.0	0.0	0.0	0.0	0.0	21.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.326	3.292	3.292	6.272	90.0	90.0	90.0
DFT	11.253	3.32	3.32	6.124	90.0	90.0	90.0

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

1	2	3	4	5	6
48.9	78.3	31.7	0.0	0.0	0.0
78.3	48.9	31.7	0.0	0.0	0.0
31.7	31.7	98.2	0.0	0.0	0.0
0.0	0.0	0.0	15.0	0.0	0.0
0.0	0.0	0.0	0.0	15.0	0.0
0.0	0.0	0.0	0.0	0.0	83.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.335	4.799	4.799	3.744	90.0	90.0	120.0
DFT	9.32	4.8	4.8	3.737	90.0	90.0	120.0

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

1	2	3	4	5	6
123.8	75.7	65.1	0.0	0.0	0.0
75.7	123.8	65.1	0.0	0.0	0.0
65.1	65.1	256.2	0.0	0.0	0.0
0.0	0.0	0.0	82.0	0.0	0.0
0.0	0.0	0.0	0.0	82.0	0.0
0.0	0.0	0.0	0.0	0.0	24.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.183	4.587	5.332	7.382	90.0	90.0	125.53
DFT	9.199	4.725	4.725	7.613	90.0	90.0	120.0

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

1	2	3	4	5	6
283.7	26.5	35.0	0.0	0.0	-2.5
26.5	259.0	63.3	0.0	0.0	38.5
35.0	63.3	264.2	0.0	0.0	-41.2
0.0	0.0	0.0	107.9	-49.3	0.0
0.0	0.0	0.0	-49.3	74.1	0.0
-2.5	38.5	-41.2	0.0	0.0	69.7

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	12.788	7.58	7.58	2.313	90.0	90.0	120.0
DFT	13.016	7.649	7.649	2.312	90.0	90.0	120.0

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

1	2	3	4	5	6
114.8	46.4	9.0	0.0	0.0	0.2
46.4	110.9	8.8	0.0	0.0	0.0
9.0	8.8	118.5	0.0	0.0	0.0
0.0	0.0	0.0	-15.3	0.0	0.0
0.0	0.0	0.0	0.0	-15.3	0.0
0.2	0.0	0.0	0.0	0.0	32.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.29	6.382	6.382	2.281	90.0	90.0	90.0
DFT	9.306	6.391	6.391	2.278	90.0	90.0	90.0

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

1	2	3	4	5	6
164.8	38.3	76.9	0.0	0.0	6.8
38.3	164.8	76.9	0.0	0.0	-6.8
76.9	76.9	230.3	0.0	0.0	0.0
0.0	0.0	0.0	115.3	0.0	0.0
0.0	0.0	0.0	0.0	115.3	0.0
6.8	-6.8	0.0	0.0	0.0	24.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	13.714	4.813	4.813	7.709	93.22	93.22	112.15
DFT	13.142	4.959	4.959	7.406	90.0	90.0	120.0

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

1	2	3	4	5	6
49.4	8.9	14.4	4.3	-14.4	7.8
8.9	57.0	5.6	-9.2	11.1	1.3
14.4	5.6	69.2	5.3	3.5	-10.7
4.3	-9.2	5.3	15.8	-0.7	6.3
-14.4	11.1	3.5	-0.7	16.4	-2.1
7.8	1.3	-10.7	6.3	-2.1	14.2

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.791	4.133	4.133	5.956	90.0	90.0	120.0
DFT	9.814	4.139	4.139	5.955	90.0	90.0	120.0

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

1	2	3	4	5	6
170.8	65.0	21.1	0.0	0.0	0.0
65.0	170.8	21.1	0.0	0.0	0.0
21.1	21.1	239.1	0.0	0.0	0.0
0.0	0.0	0.0	-176.6	0.0	0.0
0.0	0.0	0.0	0.0	-176.6	0.0
0.0	0.0	0.0	0.0	0.0	52.9

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	8.954	5.232	5.232	5.232	90.0	90.0	90.0
DFT	8.951	5.232	5.232	5.232	90.0	90.0	90.0

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

1	2	3	4	5	6
156.9	65.7	65.7	0.0	0.0	0.0
65.7	156.9	65.7	0.0	0.0	0.0
65.7	65.7	156.9	0.0	0.0	0.0
0.0	0.0	0.0	127.6	0.0	0.0
0.0	0.0	0.0	0.0	127.6	0.0
0.0	0.0	0.0	0.0	0.0	127.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.546	3.815	3.815	4.544	90.0	90.0	120.0
DFT	9.542	3.816	3.816	4.541	90.0	90.0	120.0

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

1	2	3	4	5	6
150.6	105.3	-2.0	0.0	0.0	0.0
105.3	150.6	-2.0	0.0	0.0	0.0
-2.0	-2.0	298.8	0.0	0.0	0.0
0.0	0.0	0.0	54.6	0.0	0.0
0.0	0.0	0.0	0.0	54.6	0.0
0.0	0.0	0.0	0.0	0.0	22.7

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.137	3.319	3.319	3.319	90.0	90.0	90.0
DFT	9.152	3.32	3.32	3.32	90.0	90.0	90.0

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

1	2	3	4	5	6
85.6	104.4	104.4	0.0	0.0	0.0
104.4	85.6	104.4	0.0	0.0	0.0
104.4	104.4	85.6	0.0	0.0	0.0
0.0	0.0	0.0	118.4	0.0	0.0
0.0	0.0	0.0	0.0	118.4	0.0
0.0	0.0	0.0	0.0	0.0	118.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	10.86	2.351	2.351	8.512	90.0	90.0	112.56
DFT	10.853	2.396	2.396	8.732	90.0	90.0	120.0

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

1	2	3	4	5	6
148.8	52.7	-10.5	0.0	0.0	-19.9
52.7	123.3	9.3	0.0	0.0	-10.8
-10.5	9.3	164.7	0.0	0.0	23.9
0.0	0.0	0.0	42.3	21.4	0.0
0.0	0.0	0.0	21.4	24.5	0.0
-19.9	-10.8	23.9	0.0	0.0	50.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	14.608	4.101	4.101	6.947	90.0	90.0	90.0
DFT	14.723	3.927	3.927	7.638	90.0	90.0	90.0

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

1	2	3	4	5	6
32.2	16.3	21.4	0.0	0.0	0.0
16.3	32.2	21.4	0.0	0.0	0.0
21.4	21.4	36.8	0.0	0.0	0.0
0.0	0.0	0.0	34.6	0.0	0.0
0.0	0.0	0.0	0.0	34.6	0.0
0.0	0.0	0.0	0.0	0.0	13.7

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	10.442	6.415	6.415	2.537	90.0	90.0	90.0
DFT	10.395	6.371	6.371	2.561	90.0	90.0	90.0

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

1	2	3	4	5	6
104.3	8644.5	-82799.9	0.0	-9910.6	-88829.9
8644.5	-61525.8	-37345.0	0.0	-53899.5	-62253.0
-82799.9	-37345.0	-224855.5	0.0	57966.3	-33919.7
0.0	0.0	0.0	61.1	5.2	0.0
-9910.6	-53899.5	57966.3	5.2	54.4	-1926.3
-88829.9	-62253.0	-33919.7	0.0	-1926.3	3749.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	10.286	4.418	4.418	7.303	90.0	90.0	120.0
DFT	10.326	4.436	4.436	7.272	90.0	90.0	120.0

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

1	2	3	4	5	6
137.9	13.1	14.8	0.0	0.0	0.0
13.1	137.9	14.8	0.0	0.0	0.0
14.8	14.8	168.8	0.0	0.0	0.0
0.0	0.0	0.0	62.3	0.0	0.0
0.0	0.0	0.0	0.0	62.3	0.0
0.0	0.0	0.0	0.0	0.0	62.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	13.683	4.622	4.622	6.655	90.0	90.0	120.0
DFT	13.4	4.616	4.616	6.536	90.0	90.0	120.0

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

1	2	3	4	5	6
53.5	41.9	-1.3	0.0	0.0	-0.1
41.9	65.2	-1.4	0.0	0.0	0.0
-1.3	-1.4	92.0	0.0	0.0	0.0
0.0	0.0	0.0	-42.5	0.0	0.0
0.0	0.0	0.0	0.0	-42.5	0.0
-0.1	0.0	0.0	0.0	0.0	9.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.064	5.615	5.615	5.615	90.0	90.0	90.0
DFT	11.06	5.614	5.614	5.614	90.0	90.0	90.0

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

1	2	3	4	5	6
73.9	34.4	34.4	0.0	0.0	0.0
34.4	73.9	34.4	0.0	0.0	0.0
34.4	34.4	73.9	0.0	0.0	0.0
0.0	0.0	0.0	61.3	0.0	0.0
0.0	0.0	0.0	0.0	61.3	0.0
0.0	0.0	0.0	0.0	0.0	61.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	15.888	6.473	9.191	6.067	90.0	90.0	135.23
DFT	14.852	5.523	5.523	8.997	90.0	90.0	120.0

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

1	2	3	4	5	6
24.2	18.7	12.3	0.0	0.0	-3.4
18.7	24.1	12.3	0.0	0.0	-2.9
12.3	12.3	29.2	0.0	0.0	1.0
0.0	0.0	0.0	23.8	-0.8	0.0
0.0	0.0	0.0	-0.8	23.9	0.0
-3.4	-2.9	1.0	0.0	0.0	28.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	14.713	4.568	4.568	11.283	90.0	90.0	90.0
DFT	14.822	4.594	4.594	11.238	90.0	90.0	90.0

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

1	2	3	4	5	6
68.8	-16.8	4.5	0.0	0.0	0.0
-16.8	68.8	4.5	0.0	0.0	0.0
4.5	4.5	23.0	0.0	0.0	0.0
0.0	0.0	0.0	13.4	0.0	0.0
0.0	0.0	0.0	0.0	13.4	0.0
0.0	0.0	0.0	0.0	0.0	-5.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.158	2.335	2.335	4.093	90.0	90.0	90.0
DFT	11.153	2.333	2.333	4.098	90.0	90.0	90.0

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

1	2	3	4	5	6
131.3	-2.5	11.9	0.0	0.0	0.0
-2.5	131.3	11.9	0.0	0.0	0.0
11.9	11.9	107.8	0.0	0.0	0.0
0.0	0.0	0.0	51.8	0.0	0.0
0.0	0.0	0.0	0.0	51.8	0.0
0.0	0.0	0.0	0.0	0.0	-26.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	14.796	6.186	6.186	6.186	90.0	90.0	90.0
DFT	14.758	6.181	6.181	6.181	90.0	90.0	90.0

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

1	2	3	4	5	6
21.8	28.1	28.1	0.0	0.0	0.0
28.1	21.8	28.1	0.0	0.0	0.0
28.1	28.1	21.8	0.0	0.0	0.0
0.0	0.0	0.0	27.4	0.0	0.0
0.0	0.0	0.0	0.0	27.4	0.0
0.0	0.0	0.0	0.0	0.0	27.4