gtinv-411 (Ca-Ti-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	Ca
1.0	0.0	Ti

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-97006-10-[InMg2]	-4.72856	-4.73013
icsd-58745-01-[Fe6Ge6Mg]	-4.70398	-4.71325
icsd-105521-10-[Al5W]	-4.38729	-4.38898
icsd-107998-10-[MoNi4]	-4.36802	-4.36626
icsd-167735-10-[Ru2B3]	-4.35876	-4.35918
icsd-42773-10-[IrGe4]	-4.28378	-4.28282
icsd-150584-10-[Fe13Ge3]	-4.26671	-4.25862
icsd-260285-01-[UCl3]	-4.03592	-4.03451
icsd-104506-01-[Ni3Sn]	-4.03589	-4.03448
icsd-649037-01-[Ni3Ti]	-3.96756	-3.97137
icsd-105191-01-[Al3Ti]	-3.93746	-3.9373
icsd-420250-01-[LiPd2Tl]	-3.93746	-3.9373
icsd-643301-01-[Au3Cd]	-3.92824	-3.92809
icsd-640726-10-[CuSmP2]	-3.92823	-3.92808
icsd-416747-01-[Al3Zr]	-3.92822	-3.92808
icsd-69199-01-[U3Si]	-3.91924	-3.91926
icsd-181127-10-[Auricupride-AuCu3]	-3.91924	-3.91925
icsd-648572-01-[CuInPt2]	-3.91924	-3.91925
icsd-609153-01-[AlPt3]	-3.91924	-3.91925
icsd-99787-10-[Fe3Pt]	-3.91921	-3.91929
icsd-648748-10-[Pd4Se]	-3.90927	-3.91087
icsd-188260-10-[Heusler-AlCu2Mn]	-3.86251	-3.85882
icsd-189695-01-[CuHg2Ti]	-3.8625	-3.85882
icsd-58471-01-[CuZr2]	-3.85805	-3.859
icsd-652553-10-[AlCr2-MoSi2]	-3.85803	-3.859
icsd-58607-10-[Au2Ti]	-3.85802	-3.85899
icsd-409859-10-[La2Sb]	-3.81316	-3.81319
icsd-30446-01-[Fe2B]	-3.77	-3.76822
icsd-611176-01-[Fe2P]	-3.76426	-3.77096
icsd-625334-01-[Laves(2H)-MgZn2]	-3.74564	-3.74332
icsd-610464-10-[PbClF/Cu2Sb]	-3.72653	-3.72846
icsd-155842-10-[Co5Fe11]	-3.71283	-3.70835
icsd-69557-10-[CdI2(hP9)]	-3.68395	-3.68368
icsd-246555-10-[Co2Nd]	-3.68275	-3.68229
icsd-105726-01-[Pd5Ti3]	-3.61708	-3.61725
icsd-169457-10-[ZrH2]	-3.61344	-3.6131
icsd-659829-01-[Al2Li3]	-3.53959	-3.55379
icsd-16504-01-[CrSi2]	-3.51116	-3.5117
icsd-629406-10-[Cu4Ti3]	-3.50515	-3.51004
icsd-161133-10-[Fe2Si(HT)]	-3.49867	-3.49784
icsd-105948-01-[InNi2]	-3.49867	-3.49784
icsd-635208-10-[CoGa3]	-3.48209	-3.48151
icsd-629380-10-[Al3Os2]	-3.47412	-3.47347
icsd-635642-01-[Hg5Mn2]	-3.45828	-3.47074
icsd-103995-01-[Ga3Ti2]	-3.42023	-3.42015
icsd-5258-01-[FeSi2]	-3.39543	-3.39701
icsd-655706-10-[Cu2Te(HT)]	-3.35999	-3.35968
icsd-239-10-[Cu3Se2]	-3.34321	-3.34407
icsd-16606-01-[Nb3Te4]	-3.32432	-3.32783
icsd-59586-01-[Pd5Th3]	-3.22548	-3.22884
icsd-639879-10-[In5In4]	-3.12907	-3.12901
icsd-100654-01-[BiSe]	-3.0189	-3.00815
icsd-639227-10-[Si2U3]	-2.99931	-2.99909
icsd-629406-01-[Cu4Ti3]	-2.99577	-2.98699
icsd-55492-01-[BaPt]	-2.9795	-2.97921
icsd-424636-10-[MnGa4]	-2.95514	-2.95565
icsd-639148-10-[NiHg4]	-2.95513	-2.95564
icsd-108762-10-[Hg4Pt]	-2.95513	-2.95564
icsd-262070-01-[AlLi(hP8)]	-2.95361	-2.95176
icsd-73839-10-[Ni3S2]	-2.94746	-2.9452
icsd-611457-01-[NbAs]	-2.94407	-2.9441
icsd-105636-01-[PbU]	-2.94407	-2.9441
icsd-659856-01-[LiPt]	-2.94232	-2.94218
icsd-644708-01-[WC]	-2.94231	-2.94218
icsd-168897-01-[LaI]	-2.93465	-2.93567
icsd-626692-01-[Nickeline-NiAs]	-2.93465	-2.93566
icsd-611618-01-[TiAs]	-2.93149	-2.93095
icsd-618702-01-[ScTe]	-2.93148	-2.93094
icsd-639037-01-[HgIn]	-2.92829	-2.92703
icsd-659806-01-[GeTe(subcell)]	-2.92829	-2.92703
icsd-52294-01-[GeTe(supercell)]	-2.92824	-2.92709
icsd-618295-01-[MoC1-x]	-2.92065	-2.91922
icsd-240119-01-[AlLi]	-2.91794	-2.91785
icsd-103775-01-[NaTl]	-2.91792	-2.91785
icsd-42428-01-[Fe3Pt]	-2.91691	-2.91532
icsd-106325-01-[BiIn]	-2.9169	-2.91532
icsd-108707-01-[HgMn]	-2.9169	-2.91531
icsd-59508-01-[AuCu]	-2.9169	-2.91531
icsd-633467-01-[FeSe(tP2)]	-2.9169	-2.91532
icsd-189711-01-[Heusler(alloy)-AlLiSi]	-2.9155	-2.91496
icsd-102712-01-[CoU]	-2.90564	-2.89881
icsd-16606-10-[Nb3Te4]	-2.85904	-2.85147
icsd-639879-01-[In5In4]	-2.82756	-2.8267
icsd-650527-01-[CsCl]	-2.81302	-2.81513
icsd-639227-01-[Si2U3]	-2.80884	-2.80353
icsd-635060-01-[Fersilicite-FeSi]	-2.78985	-2.78819
icsd-659829-10-[Al2Li3]	-2.71728	-2.71564
icsd-103995-10-[Ga3Ti2]	-2.70174	-2.69394
icsd-629380-01-[Al3Os2]	-2.66865	-2.66907
icsd-185626-10-[Al3Ni2]	-2.65146	-2.64891
icsd-106786-10-[Hg2Pt]	-2.64247	-2.64277
icsd-30446-10-[Fe2B]	-2.64207	-2.64373
icsd-105726-10-[Pd5Ti3]	-2.63784	-2.63737
icsd-239-01-[Cu3Se2]	-2.59549	-2.59548
icsd-185626-01-[Al3Ni2]	-2.58644	-2.59131
icsd-248490-10-[Pt2Si]	-2.58187	-2.58181
icsd-638227-10-[Fluorite-CaF2]	-2.58187	-2.58179
icsd-59586-10-[Pd5Th3]	-2.56866	-2.57408
icsd-652553-01-[AlCr2-MoSi2]	-2.56205	-2.56212
icsd-58471-10-[CuZr2]	-2.56205	-2.56213
icsd-58607-01-[Au2Ti]	-2.56205	-2.56213
icsd-5258-10-[FeSi2]	-2.49902	-2.49992
icsd-69557-01-[CdI2(hP9)]	-2.49391	-2.49737
icsd-611176-10-[Fe2P]	-2.4355	-2.44877
icsd-635208-01-[CoGa3]	-2.42722	-2.40157
icsd-155842-01-[Co5Fe11]	-2.38899	-2.38066
icsd-635642-10-[Hg5Mn2]	-2.37931	-2.3364
icsd-16504-10-[CrSi2]	-2.37926	-2.37726
icsd-105948-10-[InNi2]	-2.37334	-2.37355
icsd-161133-01-[Fe2Si(HT)]	-2.37318	-2.37357
icsd-106786-01-[Hg2Pt]	-2.29612	-2.29391
icsd-409859-01-[La2Sb]	-2.2879	-2.28955
icsd-610464-01-[PbClF/Cu2Sb]	-2.28349	-2.28103
icsd-73839-01-[Ni3S2]	-2.27551	-2.27512
icsd-260285-10-[UCl3]	-2.27011	-2.27118
icsd-104506-10-[Ni3Sn]	-2.26997	-2.27117
icsd-189695-10-[CuHg2Ti]	-2.26305	-2.26101
icsd-188260-01-[Heusler-AlCu2Mn]	-2.26305	-2.26101
icsd-167735-01-[Ru2B3]	-2.25058	-2.25136
icsd-649037-10-[Ni3Ti]	-2.25019	-2.25139
icsd-655706-01-[Cu2Te(HT)]	-2.2414	-2.24261
icsd-420250-10-[LiPd2Tl]	-2.24068	-2.24193
icsd-105191-10-[Al3Ti]	-2.23962	-2.24227
icsd-416747-10-[Al3Zr]	-2.23748	-2.23809
icsd-640726-01-[CuSmP2]	-2.23744	-2.23804
icsd-643301-10-[Au3Cd]	-2.23729	-2.23806
icsd-99787-01-[Fe3Pt]	-2.23169	-2.23427
icsd-181127-01-[Auricupride-AuCu3]	-2.23168	-2.23428
icsd-69199-10-[U3Si]	-2.23168	-2.23429
icsd-648572-10-[CuInPt2]	-2.23168	-2.23428
icsd-609153-10-[AlPt3]	-2.23167	-2.23427
icsd-181788-01-[NaCl]	-2.2119	-2.21288
icsd-42472-01-[CoO]	-2.21169	-2.21288
icsd-107998-01-[MoNi4]	-2.18	-2.17457
icsd-150584-01-[Fe13Ge3]	-2.15977	-2.15826
icsd-648748-01-[Pd4Se]	-2.14365	-2.14143
icsd-105521-01-[Al5W]	-2.10974	-2.10881
icsd-42773-01-[IrGe4]	-2.07721	-2.09664
icsd-97006-01-[InMg2]	-2.07502	-2.07185
icsd-625334-10-[Laves(2H)-MgZn2]	-2.05684	-2.05682
icsd-161109-01-[CoSn]	-2.05513	-2.04976
icsd-169457-01-[ZrH2]	-1.99404	-1.9942
icsd-638227-01-[Fluorite-CaF2]	-1.99404	-1.99427
icsd-248490-01-[Pt2Si]	-1.99395	-1.99427
icsd-246555-01-[Co2Nd]	-1.98722	-1.98956
icsd-639148-01-[NiHg4]	-1.93907	-1.93935
icsd-108762-01-[Hg4Pt]	-1.93907	-1.93935
icsd-424636-01-[MnGa4]	-1.93907	-1.93935
icsd-189711-10-[Heusler(alloy)-AlLiSi]	-1.78993	-1.79037
icsd-58745-10-[Fe6Ge6Mg]	-1.24562	-1.77164

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	26.134	7.478	7.478	7.478	90.0	90.0	90.0
DFT	26.409	7.504	7.504	7.504	90.0	90.0	90.0

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

1	2	3	4	5	6
26.3	45.4	45.4	0.0	0.0	0.0
45.4	26.3	45.4	0.0	0.0	0.0
45.4	45.4	26.3	0.0	0.0	0.0
0.0	0.0	0.0	9.3	0.0	0.0
0.0	0.0	0.0	0.0	9.3	0.0
0.0	0.0	0.0	0.0	0.0	9.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	31.216	5.626	5.626	6.833	90.0	90.0	120.0
DFT	30.904	5.559	5.559	6.928	90.0	90.0	120.0

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

1	2	3	4	5	6
49.0	24.0	11.7	0.0	0.0	0.0
24.0	49.0	11.7	0.0	0.0	0.0
11.7	11.7	56.5	0.0	0.0	0.0
0.0	0.0	0.0	13.8	0.0	0.0
0.0	0.0	0.0	0.0	13.8	0.0
0.0	0.0	0.0	0.0	0.0	12.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.937	3.248	3.248	5.46	90.0	90.0	120.0
DFT	25.08	3.253	3.253	5.474	90.0	90.0	120.0

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

1	2	3	4	5	6
62.8	35.1	19.4	0.0	0.0	0.0
35.1	62.8	19.4	0.0	0.0	0.0
19.4	19.4	85.8	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	13.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	33.078	8.912	10.444	3.615	90.0	90.0	79.42
DFT	34.722	8.152	8.152	5.225	90.0	90.0	90.0

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

1	2	3	4	5	6
66.0	22.4	19.6	0.0	0.0	7.1
22.4	72.0	20.5	0.0	0.0	-3.5
19.6	20.5	59.3	0.0	0.0	3.7
0.0	0.0	0.0	17.6	4.2	0.0
0.0	0.0	0.0	4.2	13.7	0.0
7.1	-3.5	3.7	0.0	0.0	15.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.339	4.382	4.382	8.473	90.0	90.0	90.0
DFT	20.355	4.375	4.375	8.509	90.0	90.0	90.0

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

1	2	3	4	5	6
107.7	57.6	67.9	0.0	0.0	0.0
57.6	107.7	67.9	0.0	0.0	0.0
67.9	67.9	133.9	0.0	0.0	0.0
0.0	0.0	0.0	18.6	0.0	0.0
0.0	0.0	0.0	0.0	18.6	0.0
0.0	0.0	0.0	0.0	0.0	39.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	26.219	3.743	3.743	3.743	90.0	90.0	90.0
DFT	26.191	3.742	3.742	3.742	90.0	90.0	90.0

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

1	2	3	4	5	6
29.0	39.6	39.6	0.0	0.0	0.0
39.6	29.0	39.6	0.0	0.0	0.0
39.6	39.6	29.0	0.0	0.0	0.0
0.0	0.0	0.0	25.0	0.0	0.0
0.0	0.0	0.0	0.0	25.0	0.0
0.0	0.0	0.0	0.0	0.0	25.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	33.397	5.112	5.112	5.112	90.0	90.0	90.0
DFT	33.337	5.109	5.109	5.109	90.0	90.0	90.0

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

1	2	3	4	5	6
23.0	27.7	27.7	0.0	0.0	0.0
27.7	23.0	27.7	0.0	0.0	0.0
27.7	27.7	23.0	0.0	0.0	0.0
0.0	0.0	0.0	22.4	0.0	0.0
0.0	0.0	0.0	0.0	22.4	0.0
0.0	0.0	0.0	0.0	0.0	22.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	31.674	4.604	4.604	8.965	90.0	90.0	90.0
DFT	31.95	4.613	4.613	9.007	90.0	90.0	90.0

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

1	2	3	4	5	6
27.2	43.2	25.5	0.0	0.0	0.0
43.2	16.7	20.0	0.0	0.0	0.0
25.5	20.0	69.6	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	27.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.44	4.348	4.348	17.301	90.0	90.0	90.0
DFT	20.338	4.343	4.343	17.251	90.0	90.0	90.0

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

1	2	3	4	5	6
103.1	59.8	69.0	0.0	0.0	0.0
59.8	103.1	69.0	0.0	0.0	0.0
69.0	69.0	134.5	0.0	0.0	0.0
0.0	0.0	0.0	37.3	0.0	0.0
0.0	0.0	0.0	0.0	37.3	0.0
0.0	0.0	0.0	0.0	0.0	43.2

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.323	5.873	5.873	5.873	90.0	90.0	90.0
DFT	25.921	5.919	5.919	5.919	90.0	90.0	90.0

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

1	2	3	4	5	6
-78.7	100.6	100.6	0.0	0.0	0.0
100.6	-78.7	100.6	0.0	0.0	0.0
100.6	100.6	-78.7	0.0	0.0	0.0
0.0	0.0	0.0	-116356.3	0.0	234442.6
0.0	0.0	0.0	0.0	-116351.8	229800.7
0.0	0.0	0.0	234442.6	229800.7	-116356.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	29.846	9.023	9.023	3.666	90.0	90.0	90.0
DFT	30.322	9.212	9.212	3.573	90.0	90.0	90.0

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

1	2	3	4	5	6
-3359.0	-972.7	11554.6	9560.4	0.0	0.0
-972.7	31.9	25.3	0.0	0.0	0.0
11554.6	25.3	43.5	0.0	0.0	0.0
9560.4	0.0	0.0	-38225.5	0.0	0.0
0.0	0.0	0.0	0.0	-38225.5	0.0
0.0	0.0	0.0	0.0	0.0	25.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	31.427	7.07	8.313	5.288	90.0	90.0	126.01
DFT	33.157	7.298	7.298	5.751	90.0	90.0	120.0

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

1	2	3	4	5	6
55.6	23.9	31.1	0.0	0.0	2.7
23.9	51.2	38.2	0.0	0.0	4.1
31.1	38.2	57.4	0.0	0.0	-10.9
0.0	0.0	0.0	21.8	-11.7	0.0
0.0	0.0	0.0	-11.7	14.2	0.0
2.7	4.1	-10.9	0.0	0.0	12.9

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	23.269	3.022	15.912	8.711	90.0	90.0	90.0
DFT	23.088	2.987	16.248	8.562	90.0	90.0	90.0

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

1	2	3	4	5	6
112.9	28.6	23.2	0.0	0.0	0.0
28.6	73.8	32.7	0.0	0.0	0.0
23.2	32.7	112.8	0.0	0.0	0.0
0.0	0.0	0.0	-31.0	0.0	0.0
0.0	0.0	0.0	0.0	9.9	0.0
0.0	0.0	0.0	0.0	0.0	8.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.337	4.178	4.178	8.366	90.0	90.0	90.0
DFT	23.817	4.117	4.117	8.432	90.0	90.0	90.0

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

1	2	3	4	5	6
36.8	41.6	28.9	0.0	0.0	0.0
41.6	36.8	28.9	0.0	0.0	0.0
28.9	28.9	43.9	0.0	0.0	0.0
0.0	0.0	0.0	4.2	0.0	0.0
0.0	0.0	0.0	0.0	4.2	0.0
0.0	0.0	0.0	0.0	0.0	37.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	22.196	8.693	8.59	3.098	90.0	90.0	129.86
DFT	21.529	6.45	6.45	4.78	90.0	90.0	120.0

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

1	2	3	4	5	6
80.5	59.1	45.4	0.0	0.0	-8.5
59.1	108.4	54.3	0.0	0.0	25.0
45.4	54.3	109.9	0.0	0.0	6.6
0.0	0.0	0.0	10.5	0.7	0.0
0.0	0.0	0.0	0.7	14.8	0.0
-8.5	25.0	6.6	0.0	0.0	32.2

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.754	6.272	6.272	9.748	90.0	90.0	120.0
DFT	20.81	6.275	6.275	9.765	90.0	90.0	120.0

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

1	2	3	4	5	6
77.8	42.4	33.7	0.0	0.0	0.0
42.4	77.8	33.7	0.0	0.0	0.0
33.7	33.7	118.5	0.0	0.0	0.0
0.0	0.0	0.0	23.3	0.0	0.0
0.0	0.0	0.0	0.0	23.3	0.0
0.0	0.0	0.0	0.0	0.0	17.7

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	30.328	9.601	9.601	3.419	90.0	90.0	120.0
DFT	30.581	9.525	9.525	3.503	90.0	90.0	120.0

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

1	2	3	4	5	6
42.8	33.9	12.6	0.0	0.0	0.0
33.9	42.8	12.6	0.0	0.0	0.0
12.6	12.6	47.9	0.0	0.0	0.0
0.0	0.0	0.0	3.2	0.0	0.0
0.0	0.0	0.0	0.0	3.2	0.0
0.0	0.0	0.0	0.0	0.0	4.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	20.104	8.051	8.051	3.101	90.0	90.0	90.0
DFT	20.277	8.073	8.073	3.111	90.0	90.0	90.0

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

1	2	3	4	5	6
108.1	42.1	51.4	0.0	0.0	12.9
42.1	108.1	51.4	0.0	0.0	-12.9
51.4	51.4	98.1	0.0	0.0	0.0
0.0	0.0	0.0	24.8	0.0	0.0
0.0	0.0	0.0	0.0	24.8	0.0
12.9	-12.9	0.0	0.0	0.0	22.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	31.825	6.052	6.089	11.642	77.05	104.77	111.49
DFT	31.732	6.289	6.289	11.118	90.0	90.0	120.0

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

1	2	3	4	5	6
58.8	22.8	19.4	-0.8	8.2	-2.4
22.8	56.8	19.4	4.4	-6.3	4.2
19.4	19.4	64.0	-0.6	-1.2	3.8
-0.8	4.4	-0.6	19.2	6.2	-2.9
8.2	-6.3	-1.2	6.2	15.3	-1.6
-2.4	4.2	3.8	-2.9	-1.6	19.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	23.029	5.656	5.656	7.482	90.0	90.0	120.0
DFT	24.254	6.0	6.0	7.002	90.0	90.0	120.0

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

1	2	3	4	5	6
93.9	38.7	48.9	0.0	0.0	1.8
38.7	40.2	32.8	0.0	0.0	0.0
48.9	32.8	111.3	0.0	0.0	0.0
0.0	0.0	0.0	-119.8	0.0	0.0
0.0	0.0	0.0	0.0	-119.8	0.0
1.8	0.0	0.0	0.0	0.0	8.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	21.095	6.963	6.963	6.963	90.0	90.0	90.0
DFT	20.391	6.884	6.884	6.884	90.0	90.0	90.0

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

1	2	3	4	5	6
51.5	79.9	79.9	-19993.3	0.0	51180.1
79.9	51.5	79.9	57955.6	0.0	-57956.8
79.9	79.9	51.5	-51178.8	0.0	19993.3
-19993.3	57955.6	-51178.8	-120342.2	0.0	0.0
0.0	0.0	0.0	0.0	-240683.2	0.0
51180.1	-57956.8	19993.3	0.0	0.0	-120344.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	23.821	8.053	3.027	5.97	90.0	90.0	100.83
DFT	21.595	4.942	4.942	6.127	90.0	90.0	120.0

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

1	2	3	4	5	6
102.5	44.4	40.9	0.0	0.0	3.5
44.4	125.6	17.8	0.0	0.0	-8.0
40.9	17.8	102.9	0.0	0.0	4.6
0.0	0.0	0.0	6.9	3.5	0.0
0.0	0.0	0.0	3.5	24.5	0.0
3.5	-8.0	4.6	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	20.311	4.331	4.331	4.331	90.0	90.0	90.0
DFT	20.302	4.33	4.33	4.33	90.0	90.0	90.0

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

1	2	3	4	5	6
92.3	56.7	56.7	0.0	0.0	0.0
56.7	92.3	56.7	0.0	0.0	0.0
56.7	56.7	92.3	0.0	0.0	0.0
0.0	0.0	0.0	46.0	0.0	0.0
0.0	0.0	0.0	0.0	46.0	0.0
0.0	0.0	0.0	0.0	0.0	46.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.795	3.219	3.219	11.052	90.0	90.0	120.0
DFT	24.992	3.231	3.231	11.057	90.0	90.0	120.0

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

1	2	3	4	5	6
68.3	36.3	14.2	0.0	0.0	0.0
36.3	68.2	14.2	0.0	0.0	0.0
14.2	14.2	101.2	0.0	0.0	0.0
0.0	0.0	0.0	17.1	0.0	0.0
0.0	0.0	0.0	0.0	17.1	0.0
0.0	0.0	0.0	0.0	0.0	16.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	32.974	4.961	4.961	10.717	90.0	90.0	90.0
DFT	33.216	5.181	5.181	9.9	90.0	90.0	90.0

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

1	2	3	4	5	6
33.9	45.2	36.9	0.0	0.0	0.0
45.2	33.9	36.9	0.0	0.0	0.0
36.9	36.9	58.9	0.0	0.0	0.0
0.0	0.0	0.0	17.3	0.0	0.0
0.0	0.0	0.0	0.0	17.3	0.0
0.0	0.0	0.0	0.0	0.0	25.2

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	23.159	8.416	8.416	3.27	90.0	90.0	90.0
DFT	23.238	8.437	8.437	3.264	90.0	90.0	90.0

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

1	2	3	4	5	6
62.7	59.8	39.4	-49796.2	2.8	-72901.7
59.8	62.7	39.4	-2.8	-0.4	4.5
39.4	39.4	78.1	0.0	0.0	0.0
-49796.2	-2.8	0.0	25.1	0.0	0.0
2.8	-0.4	0.0	0.0	25.1	0.0
-72901.7	4.5	0.0	0.0	0.0	11.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	24.608	6.048	6.048	9.322	90.0	90.0	120.0
DFT	24.274	5.954	5.954	9.488	90.0	90.0	120.0

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

1	2	3	4	5	6
40.0	34.8	27.1	0.0	0.0	0.0
34.8	40.0	27.1	0.0	0.0	0.0
27.1	27.1	66.0	0.0	0.0	0.0
0.0	0.0	0.0	10.2	0.0	0.0
0.0	0.0	0.0	0.0	10.2	0.0
0.0	0.0	0.0	0.0	0.0	2.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	30.667	7.121	7.121	7.79	106.68	73.32	132.63
DFT	30.413	6.012	6.012	8.744	90.0	90.0	120.0

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

1	2	3	4	5	6
53.3	23.8	37.2	4.8	3.3	-8.3
23.8	47.0	16.6	-8.3	4.6	5.4
37.2	16.6	45.5	1.7	-3.8	-11.4
4.8	-8.3	1.7	15.7	-5.5	3.0
3.3	4.6	-3.8	-5.5	25.8	7.1
-8.3	5.4	-11.4	3.0	7.1	15.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.279	7.395	7.395	7.395	90.0	90.0	90.0
DFT	25.367	7.404	7.404	7.404	90.0	90.0	90.0

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

1	2	3	4	5	6
27.8	37.7	37.7	0.0	0.0	0.0
37.7	27.8	37.7	0.0	0.0	0.0
37.7	37.7	27.8	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	-20.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	32.985	6.679	7.23	13.45	90.0	90.0	125.65
DFT	33.247	7.26	7.26	11.654	90.0	90.0	120.0

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

1	2	3	4	5	6
43.5	26.3	25.4	0.0	0.0	-9.2
26.3	56.4	30.4	0.0	0.0	-3.5
25.4	30.4	61.8	0.0	0.0	2.5
0.0	0.0	0.0	21.3	1.2	0.0
0.0	0.0	0.0	1.2	15.9	0.0
-9.2	-3.5	2.5	0.0	0.0	14.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	32.176	5.943	3.613	23.979	90.0	90.0	90.0
DFT	33.236	5.13	5.13	20.209	90.0	90.0	90.0

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

1	2	3	4	5	6
70.0	14.0	17.1	0.0	0.0	0.0
14.0	57.8	25.9	0.0	0.0	0.0
17.1	25.9	73.9	0.0	0.0	0.0
0.0	0.0	0.0	17.0	0.0	0.0
0.0	0.0	0.0	0.0	6.3	0.0
0.0	0.0	0.0	0.0	0.0	14.2

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	25.575	3.189	3.189	5.031	90.0	90.0	90.0
DFT	25.395	3.179	3.179	5.025	90.0	90.0	90.0

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

1	2	3	4	5	6
78.3	8.8	31.6	0.0	0.0	0.0
8.8	78.3	31.6	0.0	0.0	0.0
31.6	31.6	70.6	0.0	0.0	0.0
0.0	0.0	0.0	35.1	0.0	0.0
0.0	0.0	0.0	0.0	35.1	0.0
0.0	0.0	0.0	0.0	0.0	5.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	31.917	7.993	7.993	7.993	90.0	90.0	90.0
DFT	32.668	8.055	8.055	8.055	90.0	90.0	90.0

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

1	2	3	4	5	6
55.9	35.4	35.4	0.0	0.0	0.0
35.4	55.9	35.4	0.0	0.0	0.0
35.4	35.4	55.9	0.0	0.0	0.0
0.0	0.0	0.0	18.7	0.0	0.0
0.0	0.0	0.0	0.0	18.7	0.0
0.0	0.0	0.0	0.0	0.0	18.7