pair-50 (Si-In-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	Si
1.0	0.0	In

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-58745-10-[Fe6Ge6Mg]	-3.88902	-3.84608
icsd-97006-01-[InMg2]	-3.76326	-3.75792
icsd-167735-01-[Ru2B3]	-3.75104	-3.77525
icsd-42773-01-[IrGe4]	-3.7258	-3.78518
icsd-107998-01-[MoNi4]	-3.65485	-3.65744
icsd-150584-01-[Fe13Ge3]	-3.61728	-3.60597
icsd-643301-10-[Au3Cd]	-3.59005	-3.60039
icsd-640726-01-[CuSmP2]	-3.58944	-3.6004
icsd-416747-10-[Al3Zr]	-3.58885	-3.60036
icsd-104506-10-[Ni3Sn]	-3.58875	-3.59591
icsd-260285-10-[UCl3]	-3.5882	-3.59599
icsd-105521-01-[Al5W]	-3.57934	-3.57613
icsd-648748-01-[Pd4Se]	-3.57721	-3.58324
icsd-649037-10-[Ni3Ti]	-3.54955	-3.56794
icsd-69199-10-[U3Si]	-3.51123	-3.53441
icsd-610464-01-[PbClF/Cu2Sb]	-3.50052	-3.50214
icsd-409859-01-[La2Sb]	-3.46074	-3.45994
icsd-106786-01-[Hg2Pt]	-3.45878	-3.45754
icsd-30446-10-[Fe2B]	-3.45706	-3.45682
icsd-635642-10-[Hg5Mn2]	-3.44339	-3.46167
icsd-69557-01-[CdI2(hP9)]	-3.42308	-3.42549
icsd-652553-01-[AlCr2-MoSi2]	-3.41977	-3.42149
icsd-58607-01-[Au2Ti]	-3.41949	-3.4215
icsd-58471-10-[CuZr2]	-3.41928	-3.42145
icsd-659829-10-[Al2Li3]	-3.40317	-3.38627
icsd-185626-01-[Al3Ni2]	-3.40223	-3.4093
icsd-239-01-[Cu3Se2]	-3.39725	-3.39989
icsd-625334-10-[Laves(2H)-MgZn2]	-3.38554	-3.38544
icsd-59586-10-[Pd5Th3]	-3.38127	-3.37423
icsd-189695-10-[CuHg2Ti]	-3.37623	-3.36844
icsd-188260-01-[Heusler-AlCu2Mn]	-3.37623	-3.36844
icsd-420250-10-[LiPd2Tl]	-3.37514	-3.37168
icsd-105191-10-[Al3Ti]	-3.37513	-3.37168
icsd-246555-01-[Co2Nd]	-3.37505	-3.37922
icsd-99787-01-[Fe3Pt]	-3.36535	-3.36407
icsd-648572-10-[CuInPt2]	-3.36535	-3.36405
icsd-181127-01-[Auricupride-AuCu3]	-3.36535	-3.36405
icsd-609153-10-[AlPt3]	-3.36533	-3.36428
icsd-155842-01-[Co5Fe11]	-3.33033	-3.35305
icsd-639879-01-[In5In4]	-3.32851	-3.3298
icsd-16504-10-[CrSi2]	-3.31658	-3.30199
icsd-105726-10-[Pd5Ti3]	-3.31048	-3.31059
icsd-655706-01-[Cu2Te(HT)]	-3.29648	-3.29744
icsd-629380-01-[Al3Os2]	-3.29628	-3.29623
icsd-5258-10-[FeSi2]	-3.28541	-3.28549
icsd-629406-01-[Cu4Ti3]	-3.2814	-3.27393
icsd-635208-01-[CoGa3]	-3.27503	-3.24488
icsd-611176-10-[Fe2P]	-3.27166	-3.27674
icsd-103995-10-[Ga3Ti2]	-3.2682	-3.27238
icsd-189711-10-[Heusler(alloy)-AlLiSi]	-3.25935	-3.25804
icsd-73839-01-[Ni3S2]	-3.22036	-3.2036
icsd-16606-10-[Nb3Te4]	-3.21762	-3.20527
icsd-618295-01-[MoC1-x]	-3.21187	-3.21522
icsd-105948-10-[InNi2]	-3.18965	-3.18582
icsd-161133-01-[Fe2Si(HT)]	-3.18965	-3.18582
icsd-100654-01-[BiSe]	-3.07279	-3.07659
icsd-169457-01-[ZrH2]	-3.05965	-3.05813
icsd-638227-01-[Fluorite-CaF2]	-3.05887	-3.05754
icsd-248490-01-[Pt2Si]	-3.05882	-3.05802
icsd-659829-01-[Al2Li3]	-3.05562	-3.07428
icsd-102712-01-[CoU]	-3.0384	-3.04531
icsd-639227-01-[Si2U3]	-3.03789	-3.03736
icsd-629406-10-[Cu4Ti3]	-3.00083	-2.98689
icsd-16606-01-[Nb3Te4]	-2.9935	-3.01757
icsd-635060-01-[Fersilicite-FeSi]	-2.99285	-2.99058
icsd-181788-01-[NaCl]	-2.99078	-2.99026
icsd-42472-01-[CoO]	-2.99051	-2.99027
icsd-639148-01-[NiHg4]	-2.97816	-2.97994
icsd-108762-01-[Hg4Pt]	-2.97816	-2.97994
icsd-424636-01-[MnGa4]	-2.97816	-2.97994
icsd-639879-10-[In5In4]	-2.97604	-2.97674
icsd-161109-01-[CoSn]	-2.9739	-2.98167
icsd-239-10-[Cu3Se2]	-2.96959	-2.97009
icsd-42428-01-[Fe3Pt]	-2.95256	-2.95287
icsd-59508-01-[AuCu]	-2.95182	-2.95275
icsd-108707-01-[HgMn]	-2.95182	-2.95275
icsd-633467-01-[FeSe(tP2)]	-2.95181	-2.95275
icsd-106325-01-[BiIn]	-2.95154	-2.95373
icsd-611457-01-[NbAs]	-2.94579	-2.9467
icsd-105636-01-[PbU]	-2.94579	-2.9467
icsd-650527-01-[CsCl]	-2.94428	-2.93811
icsd-103995-01-[Ga3Ti2]	-2.94069	-2.9438
icsd-240119-01-[AlLi]	-2.93295	-2.93242
icsd-103775-01-[NaTl]	-2.93295	-2.93144
icsd-55492-01-[BaPt]	-2.9314	-2.93173
icsd-639227-10-[Si2U3]	-2.92554	-2.9196
icsd-52294-01-[GeTe(supercell)]	-2.91635	-2.91491
icsd-639037-01-[HgIn]	-2.91628	-2.91492
icsd-659806-01-[GeTe(subcell)]	-2.91627	-2.91492
icsd-618702-01-[ScTe]	-2.90992	-2.91084
icsd-611618-01-[TiAs]	-2.90988	-2.91085
icsd-659856-01-[LiPt]	-2.90841	-2.90734
icsd-644708-01-[WC]	-2.90837	-2.90748
icsd-168897-01-[LaI]	-2.90372	-2.90429
icsd-626692-01-[Nickeline-NiAs]	-2.9037	-2.90429
icsd-185626-10-[Al3Ni2]	-2.88545	-2.92066
icsd-611176-01-[Fe2P]	-2.85594	-2.82746
icsd-262070-01-[AlLi(hP8)]	-2.84676	-2.84459
icsd-629380-10-[Al3Os2]	-2.83439	-2.83282
icsd-30446-01-[Fe2B]	-2.83317	-2.83264
icsd-73839-10-[Ni3S2]	-2.82833	-2.83126
icsd-169457-10-[ZrH2]	-2.82338	-2.82584
icsd-638227-10-[Fluorite-CaF2]	-2.82277	-2.82578
icsd-248490-10-[Pt2Si]	-2.82276	-2.82587
icsd-105726-01-[Pd5Ti3]	-2.80686	-2.80515
icsd-59586-01-[Pd5Th3]	-2.78869	-2.78739
icsd-610464-10-[PbClF/Cu2Sb]	-2.76958	-2.76006
icsd-58607-10-[Au2Ti]	-2.7607	-2.75876
icsd-58471-01-[CuZr2]	-2.7607	-2.75875
icsd-652553-10-[AlCr2-MoSi2]	-2.76066	-2.75875
icsd-5258-01-[FeSi2]	-2.75168	-2.75314
icsd-409859-10-[La2Sb]	-2.75083	-2.76167
icsd-161133-10-[Fe2Si(HT)]	-2.74514	-2.74592
icsd-105948-01-[InNi2]	-2.74514	-2.74592
icsd-655706-10-[Cu2Te(HT)]	-2.74042	-2.74245
icsd-69557-10-[CdI2(hP9)]	-2.72875	-2.722
icsd-106786-10-[Hg2Pt]	-2.71992	-2.72923
icsd-16504-01-[CrSi2]	-2.7123	-2.7107
icsd-155842-10-[Co5Fe11]	-2.69172	-2.69153
icsd-625334-01-[Laves(2H)-MgZn2]	-2.64761	-2.64796
icsd-189711-01-[Heusler(alloy)-AlLiSi]	-2.64578	-2.64446
icsd-635642-01-[Hg5Mn2]	-2.64243	-2.66703
icsd-648748-10-[Pd4Se]	-2.61411	-2.60883
icsd-104506-01-[Ni3Sn]	-2.6137	-2.60727
icsd-260285-01-[UCl3]	-2.61143	-2.60747
icsd-649037-01-[Ni3Ti]	-2.61066	-2.60747
icsd-640726-10-[CuSmP2]	-2.60616	-2.61415
icsd-643301-01-[Au3Cd]	-2.60562	-2.61417
icsd-416747-01-[Al3Zr]	-2.6053	-2.61417
icsd-420250-01-[LiPd2Tl]	-2.60405	-2.6056
icsd-105191-01-[Al3Ti]	-2.60397	-2.6056
icsd-181127-10-[Auricupride-AuCu3]	-2.60334	-2.60501
icsd-648572-01-[CuInPt2]	-2.60334	-2.60501
icsd-99787-10-[Fe3Pt]	-2.60334	-2.60501
icsd-69199-01-[U3Si]	-2.60331	-2.60475
icsd-609153-01-[AlPt3]	-2.60331	-2.60491
icsd-107998-10-[MoNi4]	-2.59111	-2.60049
icsd-635208-10-[CoGa3]	-2.58445	-2.61527
icsd-189695-01-[CuHg2Ti]	-2.56623	-2.60299
icsd-188260-10-[Heusler-AlCu2Mn]	-2.56623	-2.60299
icsd-42773-10-[IrGe4]	-2.56441	-2.59349
icsd-167735-10-[Ru2B3]	-2.54689	-2.5544
icsd-150584-10-[Fe13Ge3]	-2.52571	-2.53074
icsd-105521-10-[Al5W]	-2.50441	-2.5021
icsd-97006-10-[InMg2]	-2.50001	-2.48654
icsd-424636-10-[MnGa4]	-2.49771	-2.49398
icsd-108762-10-[Hg4Pt]	-2.4977	-2.49398
icsd-639148-10-[NiHg4]	-2.4977	-2.49398
icsd-246555-10-[Co2Nd]	-2.41361	-2.40956
icsd-58745-01-[Fe6Ge6Mg]	-2.29086	-2.27475

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.727	7.341	7.341	7.341	90.0	90.0	90.0
DFT	22.207	7.083	7.083	7.083	90.0	90.0	90.0

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

1	2	3	4	5	6
40.0	30.0	-24860.4	0.0	0.0	0.0
30.0	40.0	-24860.4	0.0	0.0	0.0
-24860.4	-24860.4	-49738.9	-1610.1	1613.2	1611.8
0.0	0.0	-1610.1	10731.2	0.0	0.0
0.0	0.0	1613.2	0.0	10732.1	0.0
0.0	0.0	1611.8	0.0	0.0	10731.2

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.379	6.991	6.991	5.233	90.0	90.0	151.44
DFT	19.679	4.927	4.927	5.616	90.0	90.0	120.0

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

1	2	3	4	5	6
87.3	50.1	64.2	0.0	0.0	-4.1
50.1	88.6	76.7	0.0	0.0	4.4
64.2	76.7	108.3	0.0	0.0	3.4
0.0	0.0	0.0	25.9	0.4	0.0
0.0	0.0	0.0	0.4	24.5	0.0
-4.1	4.4	3.4	0.0	0.0	13.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.418	3.123	3.123	5.07	90.0	90.0	120.0
DFT	21.457	3.134	3.134	5.045	90.0	90.0	120.0

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

1	2	3	4	5	6
86.0	85.5	66.1	0.0	0.0	0.0
85.5	86.0	66.1	0.0	0.0	0.0
66.1	66.1	67.1	0.0	0.0	0.0
0.0	0.0	0.0	12.3	0.0	0.0
0.0	0.0	0.0	0.0	12.3	0.0
0.0	0.0	0.0	0.0	0.0	0.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	18.054	7.382	7.382	3.313	90.0	90.0	90.0
DFT	17.735	7.324	7.324	3.306	90.0	90.0	90.0

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

1	2	3	4	5	6
-82348.2	-26355.9	-57573.8	0.0	60335.5	-60346.3
-26355.9	-14777.1	-10.0	0.0	60335.5	44353.3
-57573.8	-10.0	5.9	0.0	66050.6	0.0
0.0	0.0	0.0	6.6	-0.4	0.0
60335.5	60335.5	66050.6	-0.4	17.7	34461.9
-60346.3	44353.3	0.0	0.0	34461.9	-73851.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.042	4.596	4.596	9.105	90.0	90.0	90.0
DFT	24.44	4.442	4.442	9.91	90.0	90.0	90.0

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

1	2	3	4	5	6
41.6	50.2	38.3	0.0	0.0	0.0
50.2	41.6	38.3	0.0	0.0	0.0
38.3	38.3	60.1	0.0	0.0	0.0
0.0	0.0	0.0	2.6	0.0	0.0
0.0	0.0	0.0	0.0	2.6	0.0
0.0	0.0	0.0	0.0	0.0	7.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.054	3.479	3.479	3.479	90.0	90.0	90.0
DFT	21.527	3.505	3.505	3.505	90.0	90.0	90.0

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

1	2	3	4	5	6
75.9	72.5	72.5	0.0	0.0	0.0
72.5	75.9	72.5	0.0	0.0	0.0
72.5	72.5	75.9	0.0	0.0	0.0
0.0	0.0	0.0	22.8	0.0	0.0
0.0	0.0	0.0	0.0	22.8	0.0
0.0	0.0	0.0	0.0	0.0	22.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	18.439	4.194	4.194	4.194	90.0	90.0	90.0
DFT	18.377	4.189	4.189	4.189	90.0	90.0	90.0

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

1	2	3	4	5	6
47.7	54.8	54.8	0.0	0.0	0.0
54.8	47.7	54.8	0.0	0.0	0.0
54.8	54.8	47.7	0.0	0.0	0.0
0.0	0.0	0.0	11.5	0.0	0.0
0.0	0.0	0.0	0.0	11.5	0.0
0.0	0.0	0.0	0.0	0.0	11.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	18.842	3.878	3.878	7.518	90.0	90.0	90.0
DFT	20.676	3.934	3.934	8.016	90.0	90.0	90.0

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

1	2	3	4	5	6
124.7	75.1	61.8	0.0	0.0	0.0
75.1	124.7	61.8	0.0	0.0	0.0
61.8	61.8	86.9	0.0	0.0	0.0
0.0	0.0	0.0	18.4	0.0	0.0
0.0	0.0	0.0	0.0	18.4	0.0
0.0	0.0	0.0	0.0	0.0	20.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	26.573	4.727	4.727	19.028	90.0	90.0	90.0
DFT	24.98	4.411	4.411	20.546	90.0	90.0	90.0

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

1	2	3	4	5	6
38.2	30.2	28.1	0.0	0.0	0.0
30.2	38.2	28.1	0.0	0.0	0.0
28.1	28.1	50.1	0.0	0.0	0.0
0.0	0.0	0.0	-64237.9	0.0	0.0
0.0	0.0	0.0	0.0	-64237.9	0.0
0.0	0.0	0.0	0.0	0.0	4.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	22.589	5.654	5.654	5.654	90.0	90.0	90.0
DFT	22.667	5.66	5.66	5.66	90.0	90.0	90.0

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

1	2	3	4	5	6
-32.5	110.7	111.0	0.0	0.0	0.0
110.7	-32.2	110.6	0.0	0.0	0.0
111.0	110.6	-32.5	0.0	0.0	0.0
0.0	0.0	0.0	-5.2	0.0	0.0
0.0	0.0	0.0	0.0	-5.2	0.0
0.0	0.0	0.0	0.0	0.0	-5.2

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	19.965	12.956	5.385	2.938	90.0	76.89	90.0
DFT	22.471	7.668	7.668	3.822	90.0	90.0	90.0

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

1	2	3	4	5	6
171.9	73.8	56.9	0.0	-18.2	0.0
73.8	104.0	52.7	0.0	-5.2	0.0
56.9	52.7	73.3	0.0	-6.0	0.0
0.0	0.0	0.0	26.8	0.0	-0.3
-18.2	-5.2	-6.0	0.0	23.5	0.0
0.0	0.0	0.0	-0.3	0.0	28.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	19.762	6.746	11.685	4.011	90.0	90.0	90.0
DFT	19.907	7.251	12.511	3.511	90.0	90.0	90.0

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

1	2	3	4	5	6
133.6	97.1	81.2	0.0	0.0	0.0
97.1	133.6	81.2	0.0	0.0	0.0
81.2	81.2	109.4	0.0	0.0	0.0
0.0	0.0	0.0	32.3	0.0	0.0
0.0	0.0	0.0	0.0	32.3	0.0
0.0	0.0	0.0	0.0	0.0	18.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.039	3.435	14.652	9.261	90.45	90.26	104.76
DFT	25.143	3.474	12.47	10.448	90.0	90.0	90.0

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

1	2	3	4	5	6
80.5	41.0	52.9	-1.3	-3.7	1.7
41.0	62.7	50.2	3.3	-1.1	0.1
52.9	50.2	63.9	1.0	-4.4	-1.4
-1.3	3.3	1.0	8.3	-0.8	-0.6
-3.7	-1.1	-4.4	-0.8	15.9	1.1
1.7	0.1	-1.4	-0.6	1.1	4.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.87	4.563	4.563	7.165	90.0	90.0	90.0
DFT	24.715	4.394	4.394	7.679	90.0	90.0	90.0

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

1	2	3	4	5	6
91.0	47.8	65.2	0.0	0.0	0.0
47.8	91.0	65.2	0.0	0.0	0.0
65.2	65.2	116.7	0.0	0.0	0.0
0.0	0.0	0.0	13.7	0.0	0.0
0.0	0.0	0.0	0.0	13.7	0.0
0.0	0.0	0.0	0.0	0.0	8.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	26.425	7.744	9.1	6.707	63.45	90.0	90.0
DFT	24.492	6.555	11.326	5.279	90.0	90.0	90.0

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

1	2	3	4	5	6
59.3	37.1	23.7	1.2	0.0	0.0
37.1	44.7	25.2	2.5	0.0	0.0
23.7	25.2	33.2	1.8	0.0	0.0
1.2	2.5	1.8	1.2	0.0	0.0
0.0	0.0	0.0	0.0	7.8	-2.5
0.0	0.0	0.0	0.0	-2.5	11.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	26.912	7.657	7.18	13.068	78.86	119.05	135.03
DFT	24.443	6.509	6.509	10.66	90.0	90.0	120.0

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

1	2	3	4	5	6
47.7	37.2	27.8	2.8	1.6	0.9
37.2	52.4	30.4	2.3	2.8	3.6
27.8	30.4	50.8	2.8	3.2	1.4
2.8	2.3	2.8	8.0	1.6	-0.6
1.6	2.8	3.2	1.6	5.8	1.1
0.9	3.6	1.4	-0.6	1.1	8.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.545	3.37	20.416	5.887	73.24	90.0	90.0
DFT	20.882	3.055	17.259	7.129	90.0	90.0	90.0

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

1	2	3	4	5	6
109.9	52.1	58.1	2.0	0.0	0.0
52.1	129.1	70.5	-3.0	0.0	0.0
58.1	70.5	86.3	-11.2	0.0	0.0
2.0	-3.0	-11.2	22.1	0.0	0.0
0.0	0.0	0.0	0.0	26.8	1.8
0.0	0.0	0.0	0.0	1.8	7.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	26.59	9.096	9.096	3.214	90.0	90.0	90.0
DFT	25.477	8.742	8.742	3.334	90.0	90.0	90.0

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

1	2	3	4	5	6
45.1	31.6	45.4	0.0	0.0	4.0
31.6	45.1	45.4	0.0	0.0	-4.0
45.4	45.4	75.6	0.0	0.0	0.0
0.0	0.0	0.0	0.9	0.0	0.0
0.0	0.0	0.0	0.0	0.9	0.0
4.0	-4.0	0.0	0.0	0.0	2.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.99	7.324	4.81	7.931	90.0	90.0	109.17
DFT	18.922	5.509	5.509	8.639	90.0	90.0	120.0

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

1	2	3	4	5	6
76.9	70.6	53.8	0.0	0.0	-0.8
70.6	120.6	51.3	0.0	0.0	-16.5
53.8	51.3	112.1	0.0	0.0	1.0
0.0	0.0	0.0	2.8	3.4	0.0
0.0	0.0	0.0	3.4	11.3	0.0
-0.8	-16.5	1.0	0.0	0.0	10.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.223	6.658	6.624	8.555	90.0	90.0	143.01
DFT	23.571	5.492	5.492	8.121	90.0	90.0	120.0

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

1	2	3	4	5	6
2421.0	6568.4	-8222.3	-1343.8	1311.9	-4054.2
6568.4	84.4	6566.8	0.0	0.0	-13.6
-8222.3	6566.8	-18798.8	-1344.5	1312.2	-4059.8
-1343.8	0.0	-1344.5	-5366.9	5312.9	1.4
1311.9	0.0	1312.2	5312.9	-5238.6	1.0
-4054.2	-13.6	-4059.8	1.4	1.0	15.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.842	7.45	7.45	7.45	90.0	90.0	90.0
DFT	24.666	7.335	7.335	7.335	90.0	90.0	90.0

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

1	2	3	4	5	6
35.7	51.5	51.5	0.0	0.0	0.0
51.5	35.7	51.5	0.0	0.0	0.0
51.5	51.5	35.7	0.0	0.0	0.0
0.0	0.0	0.0	0.1	0.0	0.0
0.0	0.0	0.0	0.0	0.1	0.0
0.0	0.0	0.0	0.0	0.0	0.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.132	4.862	4.862	7.364	90.0	90.0	120.0
DFT	23.427	5.103	5.103	6.233	90.0	90.0	120.0

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

1	2	3	4	5	6
104.0	89.8	77.9	0.0	0.0	0.0
89.8	104.0	77.9	0.0	0.0	0.0
77.9	77.9	123.1	0.0	0.0	0.0
0.0	0.0	0.0	22.2	0.0	0.0
0.0	0.0	0.0	0.0	22.2	0.0
0.0	0.0	0.0	0.0	0.0	7.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	23.946	4.575	4.575	4.575	90.0	90.0	90.0
DFT	24.46	4.608	4.608	4.608	90.0	90.0	90.0

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

1	2	3	4	5	6
54.0	37.7	37.7	0.0	0.0	0.0
37.7	54.0	37.7	0.0	0.0	0.0
37.7	37.7	54.0	0.0	0.0	0.0
0.0	0.0	0.0	6.1	0.0	0.0
0.0	0.0	0.0	0.0	6.1	0.0
0.0	0.0	0.0	0.0	0.0	6.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.239	3.007	4.252	9.396	90.0	90.0	135.0
DFT	21.592	3.188	3.188	9.81	90.0	90.0	120.0

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

1	2	3	4	5	6
118.2	28.7	67.9	0.0	0.0	0.0
28.7	118.2	67.9	0.0	0.0	0.0
67.9	67.9	135.1	0.0	0.0	0.0
0.0	0.0	0.0	28.2	0.0	0.0
0.0	0.0	0.0	0.0	28.2	0.0
0.0	0.0	0.0	0.0	0.0	14.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	17.971	4.239	4.239	8.001	90.0	90.0	90.0
DFT	18.466	3.974	3.974	9.356	90.0	90.0	90.0

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

1	2	3	4	5	6
90.1	86.6	83.6	0.0	0.0	0.0
86.6	90.1	83.6	0.0	0.0	0.0
83.6	83.6	97.3	0.0	0.0	0.0
0.0	0.0	0.0	19.2	-7.7	0.0
0.0	0.0	0.0	-7.7	19.2	0.0
0.0	0.0	0.0	0.0	0.0	6.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.052	7.848	7.848	3.905	90.0	90.0	90.0
DFT	23.424	7.351	7.351	4.335	90.0	90.0	90.0

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

1	2	3	4	5	6
76.5	48.8	60.7	0.0	0.0	0.0
48.8	76.5	60.7	0.0	0.0	0.0
60.7	60.7	96.9	0.0	0.0	0.0
0.0	0.0	0.0	19.5	0.0	0.0
0.0	0.0	0.0	0.0	19.5	0.0
0.0	0.0	0.0	0.0	0.0	4.7

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.285	10.038	9.879	4.156	114.88	65.54	123.23
DFT	28.764	8.18	8.18	5.957	90.0	90.0	120.0

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

1	2	3	4	5	6
57.4	38.0	38.9	2.9	11.8	7.0
38.0	55.0	48.0	-9.2	2.1	1.1
38.9	48.0	63.4	-3.5	0.9	4.2
2.9	-9.2	-3.5	16.9	6.4	1.2
11.8	2.1	0.9	6.4	12.3	3.6
7.0	1.1	4.2	1.2	3.6	11.9

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.088	5.743	5.743	6.644	90.0	90.0	120.0
DFT	22.188	6.118	6.118	6.16	90.0	90.0	120.0

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

1	2	3	4	5	6
52.7	41.2	44.8	12152.2	0.0	0.0
41.2	52.7	44.8	-12152.6	0.0	0.0
44.8	44.8	108.1	1.9	0.0	0.0
12152.2	-12152.6	1.9	29647.3	-10404.3	-7017.3
0.0	0.0	0.0	-10404.3	34231.1	0.0
0.0	0.0	0.0	-7017.3	0.0	5.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.463	7.003	7.003	7.003	90.0	90.0	90.0
DFT	21.493	7.006	7.006	7.006	90.0	90.0	90.0

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

1	2	3	4	5	6
67.4	72.5	72.5	0.0	-40444.0	0.0
72.5	67.4	72.5	0.0	7012.3	0.0
72.5	72.5	67.4	0.0	-40442.0	0.0
0.0	0.0	0.0	-434817.2	0.0	0.0
-40444.0	7012.3	-40442.0	0.0	-236989.8	0.0
0.0	0.0	0.0	0.0	0.0	-434817.2

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	19.228	6.959	6.959	7.336	90.0	90.0	120.0
DFT	19.859	7.264	7.264	6.954	90.0	90.0	120.0

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

1	2	3	4	5	6
67.3	27.3	39.1	0.0	0.0	0.0
27.3	67.3	39.1	0.0	0.0	0.0
39.1	39.1	66.8	0.0	0.0	0.0
0.0	0.0	0.0	43.8	0.0	0.0
0.0	0.0	0.0	0.0	43.8	0.0
0.0	0.0	0.0	0.0	0.0	20.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	19.772	3.542	3.542	25.223	90.0	90.0	90.0
DFT	19.198	3.556	3.556	24.294	90.0	90.0	90.0

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

1	2	3	4	5	6
90.7	60.4	49.3	0.0	0.0	0.0
60.4	90.7	49.3	0.0	0.0	0.0
49.3	49.3	101.1	0.0	0.0	0.0
0.0	0.0	0.0	8.5	0.0	0.0
0.0	0.0	0.0	0.0	8.5	0.0
0.0	0.0	0.0	0.0	0.0	31.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.239	3.007	3.007	4.698	90.0	90.0	90.0
DFT	21.421	3.312	3.312	3.906	90.0	90.0	90.0

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

1	2	3	4	5	6
118.2	28.7	67.9	0.0	0.0	0.0
28.7	118.2	67.9	0.0	0.0	0.0
67.9	67.9	135.1	0.0	0.0	0.0
0.0	0.0	0.0	28.2	0.0	0.0
0.0	0.0	0.0	0.0	28.2	0.0
0.0	0.0	0.0	0.0	0.0	14.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	18.928	6.715	6.715	6.715	90.0	90.0	90.0
DFT	18.3	6.64	6.64	6.64	90.0	90.0	90.0

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

1	2	3	4	5	6
141.7	113.5	113.5	0.0	0.0	0.0
113.5	141.7	113.5	0.0	0.0	0.0
113.5	113.5	141.7	0.0	0.0	0.0
0.0	0.0	0.0	-12.5	0.0	0.0
0.0	0.0	0.0	0.0	-12.5	0.0
0.0	0.0	0.0	0.0	0.0	-12.5