pair-60 (Be-Si-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	Be
1.0	0.0	Si

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-167735-10-[Ru2B3]	-4.05036	-4.0602
icsd-424636-10-[MnGa4]	-3.97974	-3.97942
icsd-108762-10-[Hg4Pt]	-3.97974	-3.97942
icsd-639148-10-[NiHg4]	-3.97974	-3.97942
icsd-248490-10-[Pt2Si]	-3.95703	-3.95325
icsd-638227-10-[Fluorite-CaF2]	-3.95701	-3.95316
icsd-169457-10-[ZrH2]	-3.95653	-3.95313
icsd-97006-10-[InMg2]	-3.95129	-3.94967
icsd-648748-10-[Pd4Se]	-3.93527	-3.93972
icsd-106786-10-[Hg2Pt]	-3.91359	-3.91121
icsd-5258-01-[FeSi2]	-3.89743	-3.89867
icsd-42773-10-[IrGe4]	-3.8946	-3.94492
icsd-105521-10-[Al5W]	-3.89446	-3.89537
icsd-635642-01-[Hg5Mn2]	-3.89433	-3.92356
icsd-58745-01-[Fe6Ge6Mg]	-3.89268	-3.86563
icsd-107998-10-[MoNi4]	-3.88172	-3.88038
icsd-30446-01-[Fe2B]	-3.8735	-3.8725
icsd-185626-10-[Al3Ni2]	-3.86088	-3.87053
icsd-239-10-[Cu3Se2]	-3.86064	-3.86058
icsd-58607-10-[Au2Ti]	-3.86057	-3.8603
icsd-652553-10-[AlCr2-MoSi2]	-3.86048	-3.86038
icsd-58471-01-[CuZr2]	-3.86032	-3.86041
icsd-643301-01-[Au3Cd]	-3.85096	-3.84802
icsd-640726-10-[CuSmP2]	-3.85079	-3.84808
icsd-416747-01-[Al3Zr]	-3.8506	-3.84812
icsd-420250-01-[LiPd2Tl]	-3.84879	-3.84941
icsd-105191-01-[Al3Ti]	-3.84878	-3.8494
icsd-609153-01-[AlPt3]	-3.84553	-3.84528
icsd-99787-10-[Fe3Pt]	-3.84552	-3.84467
icsd-648572-01-[CuInPt2]	-3.84552	-3.84467
icsd-181127-10-[Auricupride-AuCu3]	-3.84552	-3.84467
icsd-69199-01-[U3Si]	-3.84545	-3.845
icsd-150584-10-[Fe13Ge3]	-3.84401	-3.83055
icsd-649037-01-[Ni3Ti]	-3.84158	-3.8426
icsd-260285-01-[UCl3]	-3.83977	-3.83935
icsd-104506-01-[Ni3Sn]	-3.83962	-3.83905
icsd-69557-10-[CdI2(hP9)]	-3.83615	-3.83649
icsd-59586-01-[Pd5Th3]	-3.83611	-3.83964
icsd-655706-10-[Cu2Te(HT)]	-3.83352	-3.83439
icsd-635208-10-[CoGa3]	-3.82699	-3.82014
icsd-105726-01-[Pd5Ti3]	-3.82044	-3.82158
icsd-611176-01-[Fe2P]	-3.8162	-3.83195
icsd-610464-10-[PbClF/Cu2Sb]	-3.81526	-3.81615
icsd-189711-10-[Heusler(alloy)-AlLiSi]	-3.81367	-3.81134
icsd-659829-01-[Al2Li3]	-3.81138	-3.84626
icsd-155842-10-[Co5Fe11]	-3.8064	-3.81589
icsd-16504-01-[CrSi2]	-3.80581	-3.80881
icsd-629406-10-[Cu4Ti3]	-3.80176	-3.79941
icsd-629380-10-[Al3Os2]	-3.80048	-3.80107
icsd-16606-01-[Nb3Te4]	-3.79878	-3.80231
icsd-409859-01-[La2Sb]	-3.79789	-3.79784
icsd-103995-01-[Ga3Ti2]	-3.79369	-3.7936
icsd-189695-01-[CuHg2Ti]	-3.784	-3.77715
icsd-188260-10-[Heusler-AlCu2Mn]	-3.784	-3.77715
icsd-639227-10-[Si2U3]	-3.77833	-3.77792
icsd-161109-01-[CoSn]	-3.76389	-3.76273
icsd-169457-01-[ZrH2]	-3.76252	-3.76267
icsd-248490-01-[Pt2Si]	-3.76244	-3.76267
icsd-638227-01-[Fluorite-CaF2]	-3.76244	-3.76262
icsd-611457-01-[NbAs]	-3.76036	-3.75935
icsd-105636-01-[PbU]	-3.76036	-3.75936
icsd-659806-01-[GeTe(subcell)]	-3.75921	-3.75915
icsd-639037-01-[HgIn]	-3.75921	-3.75915
icsd-52294-01-[GeTe(supercell)]	-3.75921	-3.75915
icsd-610464-01-[PbClF/Cu2Sb]	-3.74747	-3.75023
icsd-73839-10-[Ni3S2]	-3.74578	-3.72906
icsd-409859-10-[La2Sb]	-3.74482	-3.7468
icsd-108707-01-[HgMn]	-3.74298	-3.74277
icsd-59508-01-[AuCu]	-3.74298	-3.74277
icsd-633467-01-[FeSe(tP2)]	-3.74298	-3.74277
icsd-42428-01-[Fe3Pt]	-3.74278	-3.74274
icsd-106325-01-[BiIn]	-3.74262	-3.74235
icsd-639879-01-[In5In4]	-3.74207	-3.74274
icsd-611618-01-[TiAs]	-3.73869	-3.7379
icsd-618702-01-[ScTe]	-3.73869	-3.7379
icsd-161133-10-[Fe2Si(HT)]	-3.73811	-3.74304
icsd-105948-01-[InNi2]	-3.73811	-3.74304
icsd-100654-01-[BiSe]	-3.73581	-3.73583
icsd-189711-01-[Heusler(alloy)-AlLiSi]	-3.73328	-3.73252
icsd-239-01-[Cu3Se2]	-3.73233	-3.73345
icsd-103995-10-[Ga3Ti2]	-3.72608	-3.72562
icsd-659829-10-[Al2Li3]	-3.72436	-3.7249
icsd-240119-01-[AlLi]	-3.72258	-3.72354
icsd-185626-01-[Al3Ni2]	-3.71662	-3.71635
icsd-626692-01-[Nickeline-NiAs]	-3.71524	-3.71414
icsd-168897-01-[LaI]	-3.71523	-3.71414
icsd-629406-01-[Cu4Ti3]	-3.7008	-3.69867
icsd-625334-10-[Laves(2H)-MgZn2]	-3.69324	-3.69418
icsd-102712-01-[CoU]	-3.69205	-3.72109
icsd-652553-01-[AlCr2-MoSi2]	-3.68171	-3.68272
icsd-58607-01-[Au2Ti]	-3.68169	-3.68272
icsd-58471-10-[CuZr2]	-3.68167	-3.68272
icsd-635060-01-[Fersilicite-FeSi]	-3.67981	-3.68222
icsd-16504-10-[CrSi2]	-3.67843	-3.67816
icsd-55492-01-[BaPt]	-3.6734	-3.675
icsd-246555-01-[Co2Nd]	-3.67197	-3.67006
icsd-16606-10-[Nb3Te4]	-3.67127	-3.68587
icsd-648572-10-[CuInPt2]	-3.66888	-3.6689
icsd-181127-01-[Auricupride-AuCu3]	-3.66888	-3.6689
icsd-99787-01-[Fe3Pt]	-3.66888	-3.66889
icsd-609153-10-[AlPt3]	-3.66887	-3.66898
icsd-69199-10-[U3Si]	-3.66887	-3.66897
icsd-644708-01-[WC]	-3.66233	-3.66244
icsd-659856-01-[LiPt]	-3.66218	-3.66244
icsd-420250-10-[LiPd2Tl]	-3.66201	-3.66182
icsd-105191-10-[Al3Ti]	-3.662	-3.66182
icsd-639879-10-[In5In4]	-3.6587	-3.65731
icsd-105726-10-[Pd5Ti3]	-3.65731	-3.65763
icsd-643301-10-[Au3Cd]	-3.65599	-3.66332
icsd-416747-10-[Al3Zr]	-3.65599	-3.66331
icsd-640726-01-[CuSmP2]	-3.65599	-3.66332
icsd-73839-01-[Ni3S2]	-3.64225	-3.71682
icsd-59586-10-[Pd5Th3]	-3.6395	-3.6426
icsd-649037-10-[Ni3Ti]	-3.63279	-3.63434
icsd-69557-01-[CdI2(hP9)]	-3.62791	-3.62774
icsd-625334-01-[Laves(2H)-MgZn2]	-3.62203	-3.62094
icsd-260285-10-[UCl3]	-3.62033	-3.6175
icsd-104506-10-[Ni3Sn]	-3.62018	-3.61749
icsd-618295-01-[MoC1-x]	-3.61919	-3.6214
icsd-650527-01-[CsCl]	-3.61656	-3.61536
icsd-107998-01-[MoNi4]	-3.61649	-3.61577
icsd-635642-10-[Hg5Mn2]	-3.6103	-3.61518
icsd-629380-01-[Al3Os2]	-3.60857	-3.60638
icsd-611176-10-[Fe2P]	-3.60597	-3.61096
icsd-167735-01-[Ru2B3]	-3.60095	-3.60051
icsd-103775-01-[NaTl]	-3.59259	-3.59141
icsd-105521-01-[Al5W]	-3.58248	-3.58105
icsd-42773-01-[IrGe4]	-3.57541	-3.59073
icsd-58745-10-[Fe6Ge6Mg]	-3.56798	-3.56612
icsd-155842-01-[Co5Fe11]	-3.5674	-3.5731
icsd-106786-01-[Hg2Pt]	-3.56738	-3.57012
icsd-105948-10-[InNi2]	-3.56316	-3.5616
icsd-161133-01-[Fe2Si(HT)]	-3.56316	-3.5616
icsd-42472-01-[CoO]	-3.55191	-3.55306
icsd-181788-01-[NaCl]	-3.5519	-3.55309
icsd-639227-01-[Si2U3]	-3.54468	-3.54357
icsd-262070-01-[AlLi(hP8)]	-3.54265	-3.54226
icsd-97006-01-[InMg2]	-3.53002	-3.53024
icsd-655706-01-[Cu2Te(HT)]	-3.52743	-3.52596
icsd-246555-10-[Co2Nd]	-3.49328	-3.49296
icsd-189695-10-[CuHg2Ti]	-3.48936	-3.48358
icsd-188260-01-[Heusler-AlCu2Mn]	-3.48936	-3.48358
icsd-150584-01-[Fe13Ge3]	-3.48201	-3.4785
icsd-648748-01-[Pd4Se]	-3.48126	-3.48289
icsd-5258-10-[FeSi2]	-3.43602	-3.43808
icsd-30446-10-[Fe2B]	-3.41859	-3.41909
icsd-635208-01-[CoGa3]	-3.37044	-3.39604
icsd-424636-01-[MnGa4]	-3.13294	-3.13389
icsd-108762-01-[Hg4Pt]	-3.13294	-3.13389
icsd-639148-01-[NiHg4]	-3.13294	-3.13389

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.862	5.747	5.747	5.747	90.0	90.0	90.0
DFT	11.572	5.7	5.7	5.7	90.0	90.0	90.0

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

1	2	3	4	5	6
91.8	102.7	102.7	0.0	0.0	0.0
102.7	91.8	102.7	0.0	0.0	0.0
102.7	102.7	91.8	0.0	0.0	0.0
0.0	0.0	0.0	10.5	0.0	0.0
0.0	0.0	0.0	0.0	10.5	0.0
0.0	0.0	0.0	0.0	0.0	10.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	10.739	5.023	3.834	4.193	90.0	90.0	127.06
DFT	10.649	3.897	3.897	4.858	90.0	90.0	120.0

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

1	2	3	4	5	6
302.0	158.6	100.3	0.0	0.0	85.3
158.6	198.7	71.2	0.0	0.0	1.3
100.3	71.2	189.9	0.0	0.0	-11.9
0.0	0.0	0.0	47.7	-16.8	0.0
0.0	0.0	0.0	-16.8	38.6	0.0
85.3	1.3	-11.9	0.0	0.0	98.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.484	2.556	2.556	4.06	90.0	90.0	120.0
DFT	11.501	2.629	2.629	3.842	90.0	90.0	120.0

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

1	2	3	4	5	6
338.3	256.2	191.5	0.0	0.0	0.0
256.2	338.3	191.5	0.0	0.0	0.0
191.5	191.5	318.1	0.0	0.0	0.0
0.0	0.0	0.0	2.5	0.0	0.0
0.0	0.0	0.0	0.0	2.5	0.0
0.0	0.0	0.0	0.0	0.0	41.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.756	5.403	5.403	3.342	90.0	90.0	90.0
DFT	9.62	5.352	5.352	3.359	90.0	90.0	90.0

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

1	2	3	4	5	6
223.1	79.6	98.7	0.0	0.0	41.3
79.6	223.1	98.7	0.0	0.0	-41.3
98.7	98.7	312.9	0.0	0.0	0.0
0.0	0.0	0.0	33.9	0.0	0.0
0.0	0.0	0.0	0.0	33.9	0.0
41.3	-41.3	0.0	0.0	0.0	-0.9

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	13.18	3.939	3.939	6.795	90.0	90.0	90.0
DFT	12.714	3.774	3.774	7.141	90.0	90.0	90.0

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

1	2	3	4	5	6
66.8	24.0	70.7	0.0	0.0	0.0
24.0	66.8	70.7	0.0	0.0	0.0
70.7	70.7	291.7	0.0	0.0	0.0
0.0	0.0	0.0	31.7	0.0	0.0
0.0	0.0	0.0	0.0	31.7	0.0
0.0	0.0	0.0	0.0	0.0	-11.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.359	2.832	2.832	2.832	90.0	90.0	90.0
DFT	11.368	2.833	2.833	2.833	90.0	90.0	90.0

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

1	2	3	4	5	6
239.6	229.4	229.4	0.0	0.0	0.0
229.4	239.6	229.4	0.0	0.0	0.0
229.4	229.4	239.6	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
0.0	0.0	0.0	0.0	0.0	-16.9

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.935	3.413	3.413	3.413	90.0	90.0	90.0
DFT	9.88	3.406	3.406	3.406	90.0	90.0	90.0

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

1	2	3	4	5	6
329.3	-47.1	-47.1	0.0	0.0	0.0
-47.1	329.3	-47.1	0.0	0.0	0.0
-47.1	-47.1	329.3	0.0	0.0	0.0
0.0	0.0	0.0	20.1	0.0	0.0
0.0	0.0	0.0	0.0	20.1	0.0
0.0	0.0	0.0	0.0	0.0	20.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.983	3.399	3.399	5.185	90.0	90.0	90.0
DFT	10.733	3.454	3.454	5.398	90.0	90.0	90.0

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

1	2	3	4	5	6
304.9	74.3	7.9	0.0	0.0	0.0
74.3	304.9	7.9	0.0	0.0	0.0
7.9	7.9	112.0	0.0	0.0	0.0
0.0	0.0	0.0	71.7	0.0	0.0
0.0	0.0	0.0	0.0	71.7	0.0
0.0	0.0	0.0	0.0	0.0	156.2

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	12.927	3.711	3.711	15.02	90.0	90.0	90.0
DFT	12.732	3.782	3.782	14.241	90.0	90.0	90.0

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

1	2	3	4	5	6
109.0	59.8	55.5	0.0	0.0	0.0
59.8	109.0	55.5	0.0	0.0	0.0
55.5	55.5	90.3	0.0	0.0	0.0
0.0	0.0	0.0	-9.1	0.0	0.0
0.0	0.0	0.0	0.0	-9.1	0.0
0.0	0.0	0.0	0.0	0.0	13.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	12.909	4.692	4.692	4.692	90.0	90.0	90.0
DFT	11.496	4.514	4.514	4.514	90.0	90.0	90.0

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

1	2	3	4	5	6
136.1	117.3	117.3	0.0	0.0	0.0
117.3	136.1	117.3	0.0	0.0	0.0
117.3	117.3	136.1	0.0	0.0	0.0
0.0	0.0	0.0	-25.1	0.0	0.0
0.0	0.0	0.0	0.0	-25.1	0.0
0.0	0.0	0.0	0.0	0.0	-25.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.704	6.96	6.96	2.416	90.0	90.0	90.0
DFT	11.768	7.001	7.001	2.401	90.0	90.0	90.0

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

1	2	3	4	5	6
-519517.0	519658.5	58.8	0.0	-65623.6	65623.6
519658.5	-519517.0	58.8	0.0	37151.1	-37151.1
58.8	58.8	292.3	0.0	-51369.3	51369.3
0.0	0.0	0.0	15.4	0.0	0.0
-65623.6	37151.1	-51369.3	0.0	19.9	0.0
65623.6	-37151.1	51369.3	0.0	0.0	28.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.952	4.768	4.768	4.043	90.0	90.0	120.0
DFT	9.854	4.75	4.75	4.034	90.0	90.0	120.0

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

1	2	3	4	5	6
277.3	184.1	150.2	0.0	0.0	0.0
184.1	277.3	150.2	0.0	0.0	0.0
150.2	150.2	263.7	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	46.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	12.825	2.674	12.229	7.06	90.0	90.0	90.0
DFT	12.488	2.859	11.703	6.718	90.0	90.0	90.0

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

1	2	3	4	5	6
193.7	53.9	53.9	0.0	0.0	0.0
53.9	200.4	108.1	0.0	0.0	0.0
53.9	108.1	200.4	0.0	0.0	0.0
0.0	0.0	0.0	46.2	0.0	0.0
0.0	0.0	0.0	0.0	-5.4	0.0
0.0	0.0	0.0	0.0	0.0	-5.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	15.451	3.623	3.623	7.063	90.0	90.0	90.0
DFT	13.482	3.44	3.44	6.836	90.0	90.0	90.0

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

1	2	3	4	5	6
195.0	48.8	2.4	0.0	0.0	0.0
48.8	195.0	2.4	0.0	0.0	0.0
2.4	2.4	267.0	0.0	0.0	0.0
0.0	0.0	0.0	65.0	0.0	0.0
0.0	0.0	0.0	0.0	65.0	0.0
0.0	0.0	0.0	0.0	0.0	61.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	13.807	5.528	9.575	4.173	90.0	90.0	90.0
DFT	12.843	5.167	8.924	4.457	90.0	90.0	90.0

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

1	2	3	4	5	6
149.5	66.1	90.9	0.0	0.0	0.0
66.1	149.5	90.9	0.0	0.0	0.0
90.9	90.9	176.4	0.0	0.0	0.0
0.0	0.0	0.0	53.6	0.0	0.0
0.0	0.0	0.0	0.0	53.6	0.0
0.0	0.0	0.0	0.0	0.0	41.7

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	14.371	5.77	5.77	8.765	90.0	90.0	128.0
DFT	12.756	5.208	5.208	8.688	90.0	90.0	120.0

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

1	2	3	4	5	6
159.4	91.8	96.4	0.0	0.0	30.0
91.8	215.4	113.5	0.0	0.0	5.9
96.4	113.5	212.3	0.0	0.0	11.0
0.0	0.0	0.0	46.2	-7.5	0.0
0.0	0.0	0.0	-7.5	58.0	0.0
30.0	5.9	11.0	0.0	0.0	41.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	10.725	6.721	6.721	2.467	90.0	90.0	120.0
DFT	10.616	6.713	6.713	2.448	90.0	90.0	120.0

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

1	2	3	4	5	6
261.1	168.3	170.3	0.0	0.0	0.0
168.3	261.1	170.3	0.0	0.0	0.0
170.3	170.3	339.5	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	46.4

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	15.302	6.841	6.841	3.269	90.0	90.0	90.0
DFT	13.087	5.995	5.995	3.641	90.0	90.0	90.0

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

1	2	3	4	5	6
60.1	16.2	32.4	0.0	0.0	5.3
16.2	59.1	32.1	0.0	0.0	-5.3
32.4	32.1	127.8	0.0	0.0	0.0
0.0	0.0	0.0	19.7	0.0	0.0
0.0	0.0	0.0	0.0	19.7	0.0
5.3	-5.3	0.0	0.0	0.0	-3.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.981	4.358	4.358	7.281	90.0	90.0	120.0
DFT	10.093	4.317	4.317	7.503	90.0	90.0	120.0

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

1	2	3	4	5	6
256.1	144.8	101.8	0.0	0.0	0.0
144.8	256.1	101.8	0.0	0.0	0.0
101.8	101.8	186.2	0.0	0.0	0.0
0.0	0.0	0.0	62.7	0.0	0.0
0.0	0.0	0.0	0.0	62.7	0.0
0.0	0.0	0.0	0.0	0.0	55.7

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	13.364	4.388	4.231	7.888	81.71	106.15	121.23
DFT	12.399	4.377	4.377	6.727	90.0	90.0	120.0

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

1	2	3	4	5	6
183.8	114.0	89.3	0.0	0.0	0.0
114.0	281.1	72.2	0.0	0.0	0.0
89.3	72.2	179.9	0.0	0.0	0.0
0.0	0.0	0.0	36.3	0.0	0.0
0.0	0.0	0.0	0.0	50.9	0.0
0.0	0.0	0.0	0.0	0.0	59.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	13.151	5.948	5.948	5.948	90.0	90.0	90.0
DFT	13.123	5.944	5.944	5.944	90.0	90.0	90.0

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

1	2	3	4	5	6
61.9	170.5	170.5	0.0	0.0	0.0
170.5	61.9	170.5	0.0	0.0	0.0
170.5	170.5	61.9	0.0	0.0	0.0
0.0	0.0	0.0	31.3	0.0	0.0
0.0	0.0	0.0	0.0	31.3	0.0
0.0	0.0	0.0	0.0	0.0	31.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	12.97	5.271	5.271	4.889	90.0	90.0	145.04
DFT	12.614	4.081	4.081	5.247	90.0	90.0	120.0

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

1	2	3	4	5	6
185.2	120.4	87.1	0.0	0.0	1.8
120.4	152.2	88.4	0.0	0.0	-13.3
87.1	88.4	186.9	0.0	0.0	0.4
0.0	0.0	0.0	18.7	-1.8	0.0
0.0	0.0	0.0	-1.8	23.8	0.0
1.8	-13.3	0.4	0.0	0.0	29.7

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	12.797	3.713	3.713	3.713	90.0	90.0	90.0
DFT	12.749	3.708	3.708	3.708	90.0	90.0	90.0

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

1	2	3	4	5	6
108.4	91.8	91.8	0.0	0.0	0.0
91.8	108.4	91.8	0.0	0.0	0.0
91.8	91.8	108.4	0.0	0.0	0.0
0.0	0.0	0.0	10.6	0.0	0.0
0.0	0.0	0.0	0.0	10.6	0.0
0.0	0.0	0.0	0.0	0.0	10.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	12.024	2.788	2.788	7.146	90.0	90.0	120.0
DFT	11.603	2.675	2.675	7.49	90.0	90.0	120.0

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

1	2	3	4	5	6
79.6	50.2	83.3	0.0	0.0	0.0
50.2	79.6	83.3	0.0	0.0	0.0
83.3	83.3	240.7	0.0	0.0	0.0
0.0	0.0	0.0	44.2	0.0	0.0
0.0	0.0	0.0	0.0	44.2	0.0
0.0	0.0	0.0	0.0	0.0	14.7

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.767	3.409	3.409	6.722	90.0	90.0	90.0
DFT	9.875	3.402	3.402	6.828	90.0	90.0	90.0

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

1	2	3	4	5	6
298.4	-15.4	8.9	0.0	0.0	0.0
-15.4	298.4	8.9	0.0	0.0	0.0
8.9	8.9	316.5	0.0	0.0	0.0
0.0	0.0	0.0	23.5	0.0	0.0
0.0	0.0	0.0	0.0	23.5	0.0
0.0	0.0	0.0	0.0	0.0	39.1

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	12.126	5.988	5.988	3.382	90.0	90.0	90.0
DFT	12.185	6.011	6.011	3.373	90.0	90.0	90.0

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

1	2	3	4	5	6
-111478.1	111718.8	45.6	19266.7	0.0	0.0
111718.8	-111478.1	45.6	-36542.5	0.0	0.0
45.6	45.6	250.8	1345.9	0.0	0.0
19266.7	-36542.5	1345.9	31.3	0.0	0.0
0.0	0.0	0.0	0.0	32.7	0.0
0.0	0.0	0.0	0.0	0.0	35.6

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	15.266	5.335	5.335	6.656	90.0	90.0	104.74
DFT	14.314	5.555	5.555	6.427	90.0	90.0	120.0

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

1	2	3	4	5	6
259.0	83.8	112.3	0.0	0.0	14.9
83.8	272.8	110.0	0.0	0.0	11.2
112.3	110.0	143.2	0.0	0.0	-4.4
0.0	0.0	0.0	97.2	-22.6	0.0
0.0	0.0	0.0	-22.6	109.1	0.0
14.9	11.2	-4.4	0.0	0.0	84.5

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	10.392	4.158	4.158	6.248	90.0	90.0	120.0
DFT	10.457	4.137	4.137	6.348	90.0	90.0	120.0

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

1	2	3	4	5	6
304.5	120.5	143.3	0.0	0.0	0.0
120.5	304.5	143.3	0.0	0.0	0.0
143.3	143.3	355.5	0.0	0.0	0.0
0.0	0.0	0.0	106.4	0.0	0.0
0.0	0.0	0.0	0.0	106.4	0.0
0.0	0.0	0.0	0.0	0.0	92.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.886	5.751	5.751	5.751	90.0	90.0	90.0
DFT	11.528	5.692	5.692	5.692	90.0	90.0	90.0

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

1	2	3	4	5	6
136.2	193.7	193.7	0.0	0.0	0.0
193.7	136.2	193.7	0.0	0.0	0.0
193.7	193.7	136.2	0.0	0.0	0.0
0.0	0.0	0.0	-12.0	0.0	0.0
0.0	0.0	0.0	0.0	-12.0	0.0
0.0	0.0	0.0	0.0	0.0	-12.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.86	4.794	4.794	7.925	90.0	90.0	120.0
DFT	9.867	4.793	4.793	7.934	90.0	90.0	120.0

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

1	2	3	4	5	6
251.9	168.2	191.8	0.0	0.0	0.0
168.2	251.9	191.8	0.0	0.0	0.0
191.8	191.8	243.4	0.0	0.0	0.0
0.0	0.0	0.0	43.2	0.0	0.0
0.0	0.0	0.0	0.0	43.2	0.0
0.0	0.0	0.0	0.0	0.0	41.8

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	9.894	3.418	3.418	13.551	90.0	90.0	90.0
DFT	9.86	3.401	3.401	13.636	90.0	90.0	90.0

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

1	2	3	4	5	6
316.0	80.6	89.5	0.0	0.0	0.0
80.6	316.0	89.5	0.0	0.0	0.0
89.5	89.5	302.1	0.0	0.0	0.0
0.0	0.0	0.0	36.7	0.0	0.0
0.0	0.0	0.0	0.0	36.7	0.0
0.0	0.0	0.0	0.0	0.0	23.0

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	11.264	2.555	2.555	3.452	90.0	90.0	90.0
DFT	11.157	2.55	2.55	3.431	90.0	90.0	90.0

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

1	2	3	4	5	6
177.8	49.6	110.0	0.0	0.0	0.0
49.6	177.8	110.0	0.0	0.0	0.0
110.0	110.0	450.6	0.0	0.0	0.0
0.0	0.0	0.0	56.3	0.0	0.0
0.0	0.0	0.0	0.0	56.3	0.0
0.0	0.0	0.0	0.0	0.0	-21.3

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

	V (A^3/atom)	a (A)	b (A)	c (A)	alpha	beta	gamma
MLP	10.032	5.435	5.435	5.435	90.0	90.0	90.0
DFT	9.886	5.408	5.408	5.408	90.0	90.0	90.0

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

1	2	3	4	5	6
168.9	214.4	214.4	72605.0	-79912.0	-86864.5
214.4	168.9	214.4	-40838.0	-5641.5	-65238.6
214.4	214.4	168.9	-40838.7	-46477.2	-155428.4
72605.0	-40838.0	-40838.7	-187961.9	-3474.0	19599.4
-79912.0	-5641.5	-46477.2	-3474.0	3842.1	26460.1
-86864.5	-65238.6	-155428.4	19599.4	26460.1	-109561.2