gtinv-272 (Si-Au-2022-06-12)

Energy distribution

../../../../_images/distribution910.png

Convex hull (formation energy)

../../../../_images/convex910.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Si

0.8

-0.0399

icsd-648748-10-[Pd4Se]

1.0

0.0

Au

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

../../../../_images/e-v-sep910.png

Prototype structure energy

../../../../_images/icsd-pred910.png

Phonon density of states

../../../../_images/dos910.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-42773-01-[IrGe4]

-3.9678

-3.96927

icsd-104506-10-[Ni3Sn]

-3.96672

-3.96775

icsd-58745-10-[Fe6Ge6Mg]

-3.88794

-3.88836

icsd-97006-01-[InMg2]

-3.87742

-3.87796

icsd-648748-01-[Pd4Se]

-3.85697

-3.85834

icsd-69557-01-[CdI2(hP9)]

-3.85315

-3.85333

icsd-30446-10-[Fe2B]

-3.84461

-3.84486

icsd-106786-01-[Hg2Pt]

-3.84458

-3.84429

icsd-659829-10-[Al2Li3]

-3.80031

-3.8009

icsd-655706-01-[Cu2Te(HT)]

-3.79489

-3.79496

icsd-635642-10-[Hg5Mn2]

-3.7924

-3.79323

icsd-105521-01-[Al5W]

-3.78844

-3.78798

icsd-167735-01-[Ru2B3]

-3.78366

-3.78307

icsd-185626-01-[Al3Ni2]

-3.78353

-3.78363

icsd-248490-01-[Pt2Si]

-3.77895

-3.77893

icsd-638227-01-[Fluorite-CaF2]

-3.77892

-3.77838

icsd-169457-01-[ZrH2]

-3.77891

-3.77892

icsd-409859-01-[La2Sb]

-3.77475

-3.77483

icsd-189711-10-[Heusler(alloy)-AlLiSi]

-3.7609

-3.76084

icsd-639879-01-[In5In4]

-3.75811

-3.75817

icsd-150584-01-[Fe13Ge3]

-3.74893

-3.74608

icsd-239-01-[Cu3Se2]

-3.74679

-3.74686

icsd-69199-10-[U3Si]

-3.73552

-3.73689

icsd-610464-01-[PbClF/Cu2Sb]

-3.72447

-3.7243

icsd-107998-01-[MoNi4]

-3.7223

-3.72216

icsd-643301-10-[Au3Cd]

-3.7203

-3.72078

icsd-640726-01-[CuSmP2]

-3.72026

-3.72075

icsd-416747-10-[Al3Zr]

-3.71984

-3.72071

icsd-103995-10-[Ga3Ti2]

-3.70964

-3.7095

icsd-16606-10-[Nb3Te4]

-3.70859

-3.71088

icsd-155842-01-[Co5Fe11]

-3.68714

-3.68957

icsd-99787-01-[Fe3Pt]

-3.6841

-3.6845

icsd-609153-10-[AlPt3]

-3.6841

-3.68412

icsd-181127-01-[Auricupride-AuCu3]

-3.6841

-3.68451

icsd-648572-10-[CuInPt2]

-3.68409

-3.68451

icsd-100654-01-[BiSe]

-3.68113

-3.68062

icsd-611176-10-[Fe2P]

-3.67744

-3.68137

icsd-649037-10-[Ni3Ti]

-3.6768

-3.67825

icsd-420250-10-[LiPd2Tl]

-3.67013

-3.67024

icsd-105191-10-[Al3Ti]

-3.67013

-3.67023

icsd-189695-10-[CuHg2Ti]

-3.66735

-3.66601

icsd-188260-01-[Heusler-AlCu2Mn]

-3.66735

-3.66601

icsd-618295-01-[MoC1-x]

-3.66175

-3.66052

icsd-639037-01-[HgIn]

-3.66161

-3.66178

icsd-659806-01-[GeTe(subcell)]

-3.66152

-3.66185

icsd-52294-01-[GeTe(supercell)]

-3.66152

-3.66185

icsd-635208-01-[CoGa3]

-3.65997

-3.65986

icsd-652553-01-[AlCr2-MoSi2]

-3.6585

-3.65854

icsd-58607-01-[Au2Ti]

-3.6585

-3.65852

icsd-58471-10-[CuZr2]

-3.65849

-3.65852

icsd-181788-01-[NaCl]

-3.65742

-3.65598

icsd-42472-01-[CoO]

-3.65741

-3.65697

icsd-635060-01-[Fersilicite-FeSi]

-3.65741

-3.65597

icsd-73839-01-[Ni3S2]

-3.65721

-3.65819

icsd-55492-01-[BaPt]

-3.65395

-3.65407

icsd-260285-10-[UCl3]

-3.65287

-3.65326

icsd-625334-10-[Laves(2H)-MgZn2]

-3.63871

-3.63905

icsd-611618-01-[TiAs]

-3.63229

-3.6322

icsd-618702-01-[ScTe]

-3.63222

-3.63192

icsd-5258-10-[FeSi2]

-3.62971

-3.62976

icsd-73839-10-[Ni3S2]

-3.62617

-3.62489

icsd-105726-10-[Pd5Ti3]

-3.61776

-3.61813

icsd-161133-01-[Fe2Si(HT)]

-3.61436

-3.61569

icsd-105948-10-[InNi2]

-3.61435

-3.61569

icsd-626692-01-[Nickeline-NiAs]

-3.61303

-3.6125

icsd-168897-01-[LaI]

-3.61293

-3.61248

icsd-639227-10-[Si2U3]

-3.59656

-3.59653

icsd-629380-01-[Al3Os2]

-3.59311

-3.59288

icsd-16504-10-[CrSi2]

-3.59156

-3.59127

icsd-59586-10-[Pd5Th3]

-3.59007

-3.59006

icsd-629406-01-[Cu4Ti3]

-3.58897

-3.58811

icsd-161109-01-[CoSn]

-3.58689

-3.58612

icsd-639227-01-[Si2U3]

-3.56443

-3.56463

icsd-639879-10-[In5In4]

-3.54855

-3.54811

icsd-239-10-[Cu3Se2]

-3.54847

-3.54767

icsd-638227-10-[Fluorite-CaF2]

-3.54467

-3.5448

icsd-248490-10-[Pt2Si]

-3.54467

-3.54482

icsd-169457-10-[ZrH2]

-3.54462

-3.54479

icsd-246555-01-[Co2Nd]

-3.50952

-3.50725

icsd-106786-10-[Hg2Pt]

-3.50874

-3.50844

icsd-16606-01-[Nb3Te4]

-3.50792

-3.5069

icsd-185626-10-[Al3Ni2]

-3.48722

-3.4889

icsd-108707-01-[HgMn]

-3.47896

-3.47892

icsd-59508-01-[AuCu]

-3.47896

-3.47892

icsd-633467-01-[FeSe(tP2)]

-3.47896

-3.47892

icsd-106325-01-[BiIn]

-3.47889

-3.47909

icsd-42428-01-[Fe3Pt]

-3.47888

-3.47877

icsd-102712-01-[CoU]

-3.47087

-3.47012

icsd-650527-01-[CsCl]

-3.46744

-3.46666

icsd-105636-01-[PbU]

-3.46282

-3.4628

icsd-611457-01-[NbAs]

-3.46281

-3.4628

icsd-629406-10-[Cu4Ti3]

-3.46081

-3.46124

icsd-69557-10-[CdI2(hP9)]

-3.46052

-3.46081

icsd-655706-10-[Cu2Te(HT)]

-3.45065

-3.45016

icsd-659856-01-[LiPt]

-3.44759

-3.44768

icsd-644708-01-[WC]

-3.44756

-3.44767

icsd-424636-01-[MnGa4]

-3.4471

-3.4479

icsd-108762-01-[Hg4Pt]

-3.4471

-3.4479

icsd-639148-01-[NiHg4]

-3.4471

-3.4479

icsd-611176-01-[Fe2P]

-3.44538

-3.44216

icsd-409859-10-[La2Sb]

-3.42443

-3.42449

icsd-652553-10-[AlCr2-MoSi2]

-3.42114

-3.42113

icsd-58471-01-[CuZr2]

-3.4211

-3.42095

icsd-58607-10-[Au2Ti]

-3.42099

-3.42101

icsd-610464-10-[PbClF/Cu2Sb]

-3.41891

-3.41896

icsd-59586-01-[Pd5Th3]

-3.40958

-3.40909

icsd-103995-01-[Ga3Ti2]

-3.4072

-3.40708

icsd-629380-10-[Al3Os2]

-3.40406

-3.40398

icsd-105726-01-[Pd5Ti3]

-3.39081

-3.39019

icsd-16504-01-[CrSi2]

-3.38548

-3.38522

icsd-648748-10-[Pd4Se]

-3.38165

-3.38088

icsd-262070-01-[AlLi(hP8)]

-3.38131

-3.38124

icsd-240119-01-[AlLi]

-3.37435

-3.37377

icsd-103775-01-[NaTl]

-3.37435

-3.37407

icsd-635208-10-[CoGa3]

-3.36876

-3.36709

icsd-639148-10-[NiHg4]

-3.35279

-3.35253

icsd-108762-10-[Hg4Pt]

-3.35279

-3.35253

icsd-424636-10-[MnGa4]

-3.35278

-3.35253

icsd-161133-10-[Fe2Si(HT)]

-3.34819

-3.34805

icsd-105948-01-[InNi2]

-3.34819

-3.34805

icsd-635642-01-[Hg5Mn2]

-3.34663

-3.3421

icsd-649037-01-[Ni3Ti]

-3.32998

-3.32996

icsd-659829-01-[Al2Li3]

-3.32633

-3.32548

icsd-42773-10-[IrGe4]

-3.32349

-3.33064

icsd-30446-01-[Fe2B]

-3.31985

-3.31984

icsd-155842-10-[Co5Fe11]

-3.31511

-3.31477

icsd-5258-01-[FeSi2]

-3.30229

-3.30254

icsd-189711-01-[Heusler(alloy)-AlLiSi]

-3.29924

-3.29903

icsd-107998-10-[MoNi4]

-3.28885

-3.28879

icsd-105191-01-[Al3Ti]

-3.28007

-3.27999

icsd-420250-01-[LiPd2Tl]

-3.28007

-3.27999

icsd-260285-01-[UCl3]

-3.26988

-3.27

icsd-104506-01-[Ni3Sn]

-3.26983

-3.26986

icsd-188260-10-[Heusler-AlCu2Mn]

-3.26409

-3.26477

icsd-189695-01-[CuHg2Ti]

-3.26409

-3.26477

icsd-640726-10-[CuSmP2]

-3.25451

-3.25294

icsd-643301-01-[Au3Cd]

-3.25437

-3.2529

icsd-416747-01-[Al3Zr]

-3.25437

-3.25289

icsd-69199-01-[U3Si]

-3.24025

-3.24045

icsd-609153-01-[AlPt3]

-3.24025

-3.24038

icsd-648572-01-[CuInPt2]

-3.24025

-3.24025

icsd-181127-10-[Auricupride-AuCu3]

-3.24025

-3.24025

icsd-99787-10-[Fe3Pt]

-3.24025

-3.24025

icsd-625334-01-[Laves(2H)-MgZn2]

-3.23462

-3.23428

icsd-167735-10-[Ru2B3]

-3.23128

-3.23082

icsd-105521-10-[Al5W]

-3.19812

-3.19813

icsd-150584-10-[Fe13Ge3]

-3.19697

-3.19453

icsd-97006-10-[InMg2]

-3.17027

-3.17025

icsd-246555-10-[Co2Nd]

-3.07466

-3.07459

icsd-58745-01-[Fe6Ge6Mg]

-2.99259

-2.99393

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.279

6.72

9.667

6.949

90.0

90.0

134.04

DFT

17.103

6.492

6.492

6.492

90.0

90.0

90.0

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

1

2

3

4

5

6

151.5

108.6

108.6

0.0

0.0

0.0

108.6

144.5

125.6

0.0

0.0

0.0

108.6

125.6

144.5

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

24.6

0.0

0.0

0.0

0.0

0.0

0.0

24.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.93

4.693

4.693

5.326

90.0

90.0

120.0

DFT

16.816

4.547

4.547

5.635

90.0

90.0

120.0

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

1

2

3

4

5

6

172.8

151.0

48.4

0.0

0.0

0.0

151.0

172.8

48.4

0.0

0.0

0.0

48.4

48.4

253.1

0.0

0.0

0.0

0.0

0.0

0.0

40.0

0.0

0.0

0.0

0.0

0.0

0.0

40.0

0.0

0.0

0.0

0.0

0.0

0.0

10.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.597

2.775

3.001

4.226

90.0

90.0

90.0

DFT

17.071

2.826

2.826

4.938

90.0

90.0

120.0

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

1

2

3

4

5

6

225.5

76.1

38.8

0.0

0.0

0.0

76.1

198.1

169.0

0.0

0.0

0.0

38.8

169.0

205.9

0.0

0.0

0.0

0.0

0.0

0.0

63.1

0.0

0.0

0.0

0.0

0.0

0.0

-3.0

0.0

0.0

0.0

0.0

0.0

0.0

9.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.45

7.574

7.574

2.693

90.0

90.0

90.0

DFT

16.163

6.387

6.387

3.962

90.0

90.0

90.0

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

1

2

3

4

5

6

123.3

80.9

105.3

13994.4

24336.9

-15.0

80.9

123.3

105.3

-24336.9

-13994.4

15.0

105.3

105.3

259.6

-3483.8

3483.8

0.0

13994.4

-24336.9

-3483.8

-76612.7

0.0

32550.3

24336.9

-13994.4

3483.8

0.0

-76612.7

32550.3

-15.0

15.0

0.0

32550.3

32550.3

20.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.38

4.158

4.158

8.042

90.0

90.0

90.0

DFT

17.307

4.13

4.13

8.117

90.0

90.0

90.0

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

1

2

3

4

5

6

128.7

154.3

138.7

0.0

0.0

0.0

154.3

128.7

138.7

0.0

0.0

0.0

138.7

138.7

180.6

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

11.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.356

3.262

3.262

3.262

90.0

90.0

90.0

DFT

17.222

3.254

3.254

3.254

90.0

90.0

90.0

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

1

2

3

4

5

6

95.1

115.0

115.0

0.0

0.0

0.0

115.0

95.1

115.0

0.0

0.0

0.0

115.0

115.0

95.1

0.0

0.0

0.0

0.0

0.0

0.0

6.5

0.0

0.0

0.0

0.0

0.0

0.0

6.5

0.0

0.0

0.0

0.0

0.0

0.0

6.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.329

4.027

4.027

4.027

90.0

90.0

90.0

DFT

16.274

4.023

4.023

4.023

90.0

90.0

90.0

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

1

2

3

4

5

6

81.7

95.3

95.3

0.0

0.0

0.0

95.3

81.7

95.3

0.0

0.0

0.0

95.3

95.3

81.7

0.0

0.0

0.0

0.0

0.0

0.0

-1.6

0.0

0.0

0.0

0.0

0.0

0.0

-1.6

0.0

0.0

0.0

0.0

0.0

0.0

-1.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.558

3.607

3.607

8.097

90.0

90.0

90.0

DFT

17.452

3.571

3.571

8.213

90.0

90.0

90.0

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

1

2

3

4

5

6

-62926.1

63119.4

77.5

14534.3

0.0

0.0

63119.4

-62926.1

77.5

14534.3

0.0

0.0

77.5

77.5

111.8

-83445.3

0.0

0.0

14534.3

14534.3

-83445.3

-17.5

0.0

0.0

0.0

0.0

0.0

0.0

42.6

0.0

0.0

0.0

0.0

0.0

0.0

54.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.565

4.052

4.052

17.117

90.0

90.0

90.0

DFT

17.433

4.167

4.167

16.062

90.0

90.0

90.0

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

1

2

3

4

5

6

113.9

125.2

115.7

0.0

0.0

0.0

125.2

113.9

115.7

0.0

0.0

0.0

115.7

115.7

130.8

0.0

0.0

0.0

0.0

0.0

0.0

-2.3

0.0

0.0

0.0

0.0

0.0

0.0

-2.3

0.0

0.0

0.0

0.0

0.0

0.0

17.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.112

5.252

5.252

5.252

90.0

90.0

90.0

DFT

17.961

5.238

5.238

5.238

90.0

90.0

90.0

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

1

2

3

4

5

6

195.5

67.7

67.7

0.0

0.0

0.0

67.7

195.5

67.7

0.0

0.0

0.0

67.7

67.7

195.5

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

8.5

0.0

0.0

0.0

0.0

0.0

0.0

8.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.896

11.034

8.1

3.638

132.37

60.37

93.44

DFT

17.473

7.894

7.894

2.804

90.0

90.0

90.0

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

1

2

3

4

5

6

123.2

87.8

107.6

-12.4

-19.5

-1.5

87.8

116.0

90.6

8.1

-2.9

-5.5

107.6

90.6

118.3

9.6

-2.2

-7.2

-12.4

8.1

9.6

20.7

0.9

7.8

-19.5

-2.9

-2.2

0.9

19.9

9.3

-1.5

-5.5

-7.2

7.8

9.3

9.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.996

7.272

7.272

5.142

90.0

90.0

90.0

DFT

16.88

7.261

7.249

5.131

90.0

90.0

90.0

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

1

2

3

4

5

6

139.7

94.9

48.4

0.0

0.0

0.0

94.9

139.7

48.4

0.0

0.0

0.0

48.4

48.4

186.2

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

68.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.045

3.721

13.532

6.452

90.0

90.0

90.0

DFT

18.003

3.784

13.571

6.31

90.0

90.0

90.0

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

1

2

3

4

5

6

99.7

-31969.4

32167.0

0.0

-14703.5

32061.2

-31969.4

-224564.5

90251.9

0.0

-32390.0

112346.6

32167.0

90251.9

44521.8

0.0

-210.5

22188.4

0.0

0.0

0.0

-172467.0

2720.7

0.0

-14703.5

-32390.0

-210.5

2720.7

-57172.3

-8533.3

32061.2

112346.6

22188.4

0.0

-8533.3

13.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.081

4.147

4.147

6.309

90.0

90.0

90.0

DFT

18.052

4.184

4.184

6.188

90.0

90.0

90.0

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

1

2

3

4

5

6

86.3

78.5

88.1

0.0

0.0

0.0

78.5

86.3

88.1

0.0

0.0

0.0

88.1

88.1

144.2

0.0

0.0

0.0

0.0

0.0

0.0

133242.7

0.0

0.0

0.0

0.0

0.0

0.0

133242.7

0.0

0.0

0.0

0.0

0.0

0.0

-1.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.644

6.34

6.34

4.055

90.0

90.0

120.0

DFT

17.506

5.617

5.617

5.125

90.0

90.0

120.0

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

1

2

3

4

5

6

128.6

107.5

108.0

0.0

0.0

0.0

107.5

128.6

108.0

0.0

0.0

0.0

108.0

108.0

161.6

0.0

0.0

0.0

0.0

0.0

0.0

8.9

0.0

0.0

0.0

0.0

0.0

0.0

8.9

0.0

0.0

0.0

0.0

0.0

0.0

10.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.475

7.864

7.864

5.818

90.0

90.0

120.0

DFT

19.227

7.756

7.756

5.906

90.0

90.0

120.0

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

1

2

3

4

5

6

126.2

121.9

113.8

0.0

0.0

0.0

121.9

126.2

113.8

0.0

0.0

0.0

113.8

113.8

191.7

0.0

0.0

0.0

0.0

0.0

0.0

41.0

0.0

0.0

0.0

0.0

0.0

0.0

41.0

0.0

0.0

0.0

0.0

0.0

0.0

2.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.304

3.174

10.364

9.475

87.76

90.0

90.0

DFT

16.879

3.213

12.799

7.387

90.0

90.0

90.0

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

1

2

3

4

5

6

96.6

80.3

76.7

0.2

0.0

0.0

80.3

173.1

98.1

3.0

0.0

0.0

76.7

98.1

91.6

7.4

0.0

0.0

0.2

3.0

7.4

13.3

0.0

0.0

0.0

0.0

0.0

0.0

37.5

3.7

0.0

0.0

0.0

0.0

3.7

34.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.038

7.102

7.907

3.212

90.0

90.0

90.0

DFT

17.354

7.514

7.514

3.074

90.0

90.0

90.0

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

1

2

3

4

5

6

200.9

132.4

123.2

0.0

0.0

0.0

132.4

166.6

135.9

0.0

0.0

0.0

123.2

135.9

150.1

0.0

0.0

0.0

0.0

0.0

0.0

35.7

0.0

0.0

0.0

0.0

0.0

0.0

15.4

0.0

0.0

0.0

0.0

0.0

0.0

43.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.452

4.172

6.348

12.079

102.71

114.9

117.3

DFT

18.457

4.809

4.809

11.058

90.0

90.0

120.0

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

1

2

3

4

5

6

131.8

79.5

75.3

7.2

3.1

11.7

79.5

102.2

67.6

-2.4

1.8

12.8

75.3

67.6

106.6

-3.2

5.0

4.5

7.2

-2.4

-3.2

21.8

4.7

1.5

3.1

1.8

5.0

4.7

18.7

3.7

11.7

12.8

4.5

1.5

3.7

21.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.212

6.076

6.043

8.688

102.4

73.95

147.65

DFT

17.249

4.886

4.886

7.509

90.0

90.0

120.0

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

1

2

3

4

5

6

158.1

112.2

88.4

6.4

-5.4

8.9

112.2

134.9

84.9

4.4

1.4

-28.6

88.4

84.9

135.0

9.7

3.1

-4.0

6.4

4.4

9.7

13.7

-4.7

-1.1

-5.4

1.4

3.1

-4.7

12.9

5.0

8.9

-28.6

-4.0

-1.1

5.0

36.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.617

6.557

6.557

6.557

90.0

90.0

90.0

DFT

17.517

6.544

6.544

6.544

90.0

90.0

90.0

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

1

2

3

4

5

6

121.5

137.2

137.2

0.0

0.0

0.0

137.2

121.5

137.2

0.0

0.0

0.0

137.2

137.2

121.5

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

8.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.75

4.971

4.971

8.085

90.0

90.0

145.73

DFT

17.49

4.478

4.478

6.043

90.0

90.0

120.0

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

1

2

3

4

5

6

173.3

138.4

110.9

0.0

0.0

4.5

138.4

169.1

106.6

0.0

0.0

-5.9

110.9

106.6

133.0

0.0

0.0

-1.5

0.0

0.0

0.0

17.0

1.2

0.0

0.0

0.0

0.0

1.2

13.6

0.0

4.5

-5.9

-1.5

0.0

0.0

20.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.509

4.122

4.122

4.122

90.0

90.0

90.0

DFT

17.418

4.115

4.115

4.115

90.0

90.0

90.0

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

1

2

3

4

5

6

123.5

121.7

121.7

0.0

0.0

0.0

121.7

123.5

121.7

0.0

0.0

0.0

121.7

121.7

123.5

0.0

0.0

0.0

0.0

0.0

0.0

6.6

0.0

0.0

0.0

0.0

0.0

0.0

6.6

0.0

0.0

0.0

0.0

0.0

0.0

6.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.349

3.257

3.257

7.554

90.0

90.0

120.0

DFT

17.15

3.206

3.206

7.705

90.0

90.0

120.0

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

1

2

3

4

5

6

103.2

53.1

119.7

0.0

0.0

0.0

53.1

103.2

119.7

0.0

0.0

0.0

119.7

119.7

257.8

0.0

0.0

0.0

0.0

0.0

0.0

47.6

0.0

0.0

0.0

0.0

0.0

0.0

47.6

0.0

0.0

0.0

0.0

0.0

0.0

25.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.265

4.208

4.208

7.349

90.0

90.0

90.0

DFT

16.385

3.947

3.947

8.414

90.0

90.0

90.0

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

1

2

3

4

5

6

116.5

100.2

87.2

0.0

0.0

0.0

100.2

116.5

87.2

0.0

0.0

0.0

87.2

87.2

153.0

0.0

0.0

0.0

0.0

0.0

0.0

5.5

0.0

0.0

0.0

0.0

0.0

0.0

5.5

0.0

0.0

0.0

0.0

0.0

0.0

12.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.669

6.387

6.387

4.576

90.0

90.0

90.0

DFT

18.556

6.377

6.377

4.563

90.0

90.0

90.0

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

1

2

3

4

5

6

60984.4

-60778.0

51.1

0.0

0.0

0.0

-60778.0

60984.4

51.1

0.0

0.0

0.0

51.1

51.1

149.3

0.0

0.0

0.0

0.0

0.0

0.0

-11.6

0.0

0.0

0.0

0.0

0.0

0.0

-11.6

0.0

0.0

0.0

0.0

0.0

0.0

31.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.646

5.705

5.632

8.921

116.48

74.49

112.25

DFT

20.709

5.486

5.486

9.536

90.0

90.0

120.0

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

1

2

3

4

5

6

92.1

64.7

67.3

-3.3

10.5

-13.5

64.7

75.1

64.4

-1.3

-0.5

-10.5

67.3

64.4

134.8

-8.4

20.0

-8.8

-3.3

-1.3

-8.4

16.1

3.2

3.2

10.5

-0.5

20.0

3.2

18.4

1.0

-13.5

-10.5

-8.8

3.2

1.0

15.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.168

5.744

4.306

6.3

90.0

90.0

97.47

DFT

17.098

4.76

4.76

7.842

90.0

90.0

120.0

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

1

2

3

4

5

6

125.0

81.0

95.9

0.0

0.0

7.6

81.0

106.1

95.3

0.0

0.0

-4.0

95.9

95.3

139.0

0.0

0.0

3.2

0.0

0.0

0.0

4.9

7.0

0.0

0.0

0.0

0.0

7.0

25.2

0.0

7.6

-4.0

3.2

0.0

0.0

26.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.472

6.539

6.539

6.539

90.0

90.0

90.0

DFT

17.285

6.515

6.515

6.515

90.0

90.0

90.0

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

1

2

3

4

5

6

56.0

110.8

110.8

0.0

0.0

0.0

110.8

56.0

110.8

0.0

0.0

0.0

110.8

110.8

56.0

0.0

0.0

0.0

0.0

0.0

0.0

57678.6

0.0

0.0

0.0

0.0

0.0

0.0

57678.6

0.0

0.0

0.0

0.0

0.0

0.0

57678.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.76

7.08

7.08

6.177

90.0

90.0

120.0

DFT

16.27

5.632

5.632

9.475

90.0

90.0

120.0

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

1

2

3

4

5

6

144.5

101.2

122.0

0.0

0.0

0.0

101.2

144.5

122.0

0.0

0.0

0.0

122.0

122.0

152.3

0.0

0.0

0.0

0.0

0.0

0.0

48.2

0.0

0.0

0.0

0.0

0.0

0.0

48.2

0.0

0.0

0.0

0.0

0.0

0.0

21.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.337

4.301

4.301

14.133

90.0

90.0

90.0

DFT

16.244

4.233

4.233

14.504

90.0

90.0

90.0

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

1

2

3

4

5

6

66.1

79.8

57.5

0.0

-72734.4

0.0

79.8

66.1

57.5

0.0

-26160.0

0.0

57.5

57.5

89.4

0.0

-74857.0

0.0

0.0

0.0

0.0

-59080.2

10385.9

53160.6

-72734.4

-26160.0

-74857.0

10385.9

-25459.0

-36446.9

0.0

0.0

0.0

53160.6

-36446.9

1.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.258

3.086

3.086

3.625

90.0

90.0

90.0

DFT

17.061

3.028

3.028

3.721

90.0

90.0

90.0

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

1

2

3

4

5

6

78.0

107.2

107.1

0.0

0.0

0.0

107.2

78.0

107.1

0.0

0.0

0.0

107.1

107.1

156.7

0.0

0.0

0.0

0.0

0.0

0.0

-3.3

0.0

0.0

0.0

0.0

0.0

0.0

-3.3

0.0

0.0

0.0

0.0

0.0

0.0

7.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.319

6.392

6.392

6.392

90.0

90.0

90.0

DFT

16.353

6.396

6.396

6.396

90.0

90.0

90.0

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

1

2

3

4

5

6

39.4

97.8

97.8

0.0

0.0

0.0

97.8

39.4

97.8

0.0

0.0

0.0

97.8

97.8

39.4

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

4.2