gtinv-416 (Mg-Si-2022-06-12)

Energy distribution

../../../../_images/distribution822.png

Convex hull (formation energy)

../../../../_images/convex822.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Mg

0.3333

-0.1614

icsd-638227-01-[Fluorite-CaF2]

0.3333

-0.1614

icsd-248490-01-[Pt2Si]

0.3333

-0.1614

icsd-169457-01-[ZrH2]

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

../../../../_images/e-v-sep822.png

Prototype structure energy

../../../../_images/icsd-pred822.png

Phonon density of states

../../../../_images/dos822.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-01-[Fe6Ge6Mg]

-3.82998

-3.82692

icsd-97006-10-[InMg2]

-3.75164

-3.75252

icsd-167735-10-[Ru2B3]

-3.70276

-3.70447

icsd-648748-10-[Pd4Se]

-3.67885

-3.68065

icsd-42773-10-[IrGe4]

-3.66844

-3.67168

icsd-107998-10-[MoNi4]

-3.66446

-3.66563

icsd-105521-10-[Al5W]

-3.6378

-3.63749

icsd-150584-10-[Fe13Ge3]

-3.58818

-3.58707

icsd-649037-01-[Ni3Ti]

-3.49067

-3.48985

icsd-609153-01-[AlPt3]

-3.48947

-3.48917

icsd-69199-01-[U3Si]

-3.48947

-3.48919

icsd-648572-01-[CuInPt2]

-3.48946

-3.49023

icsd-99787-10-[Fe3Pt]

-3.48946

-3.49022

icsd-181127-10-[Auricupride-AuCu3]

-3.48946

-3.49023

icsd-260285-01-[UCl3]

-3.48641

-3.48678

icsd-104506-01-[Ni3Sn]

-3.48617

-3.48663

icsd-416747-01-[Al3Zr]

-3.48502

-3.48271

icsd-640726-10-[CuSmP2]

-3.48501

-3.4827

icsd-643301-01-[Au3Cd]

-3.485

-3.48272

icsd-420250-01-[LiPd2Tl]

-3.46854

-3.46906

icsd-105191-01-[Al3Ti]

-3.46846

-3.46904

icsd-635642-01-[Hg5Mn2]

-3.41634

-3.41339

icsd-169457-10-[ZrH2]

-3.38848

-3.38836

icsd-106786-10-[Hg2Pt]

-3.38246

-3.3821

icsd-189695-01-[CuHg2Ti]

-3.37559

-3.37698

icsd-188260-10-[Heusler-AlCu2Mn]

-3.37554

-3.37705

icsd-611176-01-[Fe2P]

-3.37401

-3.37927

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

-3.37254

-3.37281

icsd-246555-10-[Co2Nd]

-3.37236

-3.37216

icsd-155842-10-[Co5Fe11]

-3.3371

-3.33526

icsd-610464-10-[PbClF/Cu2Sb]

-3.33459

-3.33517

icsd-409859-10-[La2Sb]

-3.33096

-3.33067

icsd-5258-01-[FeSi2]

-3.31244

-3.31212

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

-3.30947

-3.30948

icsd-652553-10-[AlCr2-MoSi2]

-3.29917

-3.29894

icsd-58607-10-[Au2Ti]

-3.29905

-3.29893

icsd-58471-01-[CuZr2]

-3.29854

-3.29886

icsd-16504-01-[CrSi2]

-3.2943

-3.29392

icsd-239-10-[Cu3Se2]

-3.2571

-3.2566

icsd-639148-10-[NiHg4]

-3.24732

-3.24723

icsd-108762-10-[Hg4Pt]

-3.24732

-3.24723

icsd-424636-10-[MnGa4]

-3.24732

-3.24723

icsd-185626-10-[Al3Ni2]

-3.20471

-3.20473

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

-3.20395

-3.20396

icsd-59586-01-[Pd5Th3]

-3.20351

-3.20389

icsd-105726-01-[Pd5Ti3]

-3.20142

-3.20241

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

-3.18431

-3.18427

icsd-105948-01-[InNi2]

-3.15231

-3.15235

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

-3.15231

-3.15235

icsd-635208-10-[CoGa3]

-3.14419

-3.14337

icsd-629380-10-[Al3Os2]

-3.14219

-3.14225

icsd-103995-01-[Ga3Ti2]

-3.1419

-3.14188

icsd-30446-01-[Fe2B]

-3.09258

-3.09229

icsd-629406-10-[Cu4Ti3]

-3.07716

-3.08136

icsd-659829-01-[Al2Li3]

-3.05659

-3.05364

icsd-248490-10-[Pt2Si]

-3.05276

-3.05303

icsd-638227-10-[Fluorite-CaF2]

-3.05275

-3.05319

icsd-639879-10-[In5In4]

-3.02116

-3.02008

icsd-73839-10-[Ni3S2]

-3.00456

-3.00382

icsd-16606-01-[Nb3Te4]

-2.99665

-2.99447

icsd-55492-01-[BaPt]

-2.96799

-2.96821

icsd-639227-10-[Si2U3]

-2.94341

-2.94307

icsd-42428-01-[Fe3Pt]

-2.93005

-2.93019

icsd-106325-01-[BiIn]

-2.93004

-2.92988

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

-2.93004

-2.93018

icsd-108707-01-[HgMn]

-2.93004

-2.93018

icsd-59508-01-[AuCu]

-2.93004

-2.93018

icsd-168897-01-[LaI]

-2.90406

-2.90405

icsd-626692-01-[Nickeline-NiAs]

-2.90406

-2.90405

icsd-611457-01-[NbAs]

-2.90187

-2.90254

icsd-105636-01-[PbU]

-2.90187

-2.90255

icsd-611618-01-[TiAs]

-2.90171

-2.90188

icsd-618702-01-[ScTe]

-2.90171

-2.90189

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

-2.89806

-2.89834

icsd-639037-01-[HgIn]

-2.89806

-2.89834

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

-2.89806

-2.89834

icsd-102712-01-[CoU]

-2.88962

-2.88797

icsd-100654-01-[BiSe]

-2.8647

-2.86501

icsd-650527-01-[CsCl]

-2.86248

-2.86205

icsd-618295-01-[MoC1-x]

-2.8571

-2.85719

icsd-635060-01-[Fersilicite-FeSi]

-2.83427

-2.83414

icsd-644708-01-[WC]

-2.83241

-2.83263

icsd-659856-01-[LiPt]

-2.83241

-2.83263

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

-2.78734

-2.788

icsd-239-01-[Cu3Se2]

-2.7838

-2.78387

icsd-639227-01-[Si2U3]

-2.78361

-2.78385

icsd-240119-01-[AlLi]

-2.74845

-2.74862

icsd-103775-01-[NaTl]

-2.74844

-2.74919

icsd-169457-01-[ZrH2]

-2.68158

-2.68113

icsd-638227-01-[Fluorite-CaF2]

-2.68156

-2.68113

icsd-248490-01-[Pt2Si]

-2.68156

-2.68113

icsd-629406-01-[Cu4Ti3]

-2.68066

-2.67916

icsd-16606-10-[Nb3Te4]

-2.6765

-2.67606

icsd-103995-10-[Ga3Ti2]

-2.6752

-2.6768

icsd-185626-01-[Al3Ni2]

-2.63781

-2.62821

icsd-161109-01-[CoSn]

-2.62725

-2.62719

icsd-639879-01-[In5In4]

-2.62591

-2.62618

icsd-611176-10-[Fe2P]

-2.61518

-2.62261

icsd-629380-01-[Al3Os2]

-2.59843

-2.5984

icsd-181788-01-[NaCl]

-2.59755

-2.59792

icsd-42472-01-[CoO]

-2.59754

-2.59769

icsd-610464-01-[PbClF/Cu2Sb]

-2.58899

-2.58777

icsd-105726-10-[Pd5Ti3]

-2.56396

-2.56385

icsd-59586-10-[Pd5Th3]

-2.55737

-2.55953

icsd-30446-10-[Fe2B]

-2.53958

-2.54028

icsd-409859-01-[La2Sb]

-2.52744

-2.52759

icsd-105948-10-[InNi2]

-2.52383

-2.52341

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

-2.52383

-2.52341

icsd-659829-10-[Al2Li3]

-2.50798

-2.50834

icsd-58471-10-[CuZr2]

-2.44338

-2.44401

icsd-652553-01-[AlCr2-MoSi2]

-2.44338

-2.44403

icsd-58607-01-[Au2Ti]

-2.44335

-2.44413

icsd-16504-10-[CrSi2]

-2.43874

-2.44061

icsd-73839-01-[Ni3S2]

-2.43362

-2.43267

icsd-155842-01-[Co5Fe11]

-2.43226

-2.43087

icsd-106786-01-[Hg2Pt]

-2.42031

-2.42159

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

-2.41274

-2.41286

icsd-5258-10-[FeSi2]

-2.36806

-2.36808

icsd-181127-01-[Auricupride-AuCu3]

-2.27392

-2.27413

icsd-648572-10-[CuInPt2]

-2.27392

-2.27413

icsd-99787-01-[Fe3Pt]

-2.27392

-2.27412

icsd-609153-10-[AlPt3]

-2.27391

-2.27404

icsd-69199-10-[U3Si]

-2.27389

-2.274

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

-2.2704

-2.2707

icsd-649037-10-[Ni3Ti]

-2.2643

-2.26299

icsd-416747-10-[Al3Zr]

-2.25087

-2.2472

icsd-640726-01-[CuSmP2]

-2.25087

-2.2472

icsd-643301-10-[Au3Cd]

-2.25086

-2.2472

icsd-260285-10-[UCl3]

-2.2501

-2.25027

icsd-104506-10-[Ni3Sn]

-2.25007

-2.25027

icsd-420250-10-[LiPd2Tl]

-2.23234

-2.23276

icsd-105191-10-[Al3Ti]

-2.23234

-2.23276

icsd-635642-10-[Hg5Mn2]

-2.2323

-2.22824

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

-2.2162

-2.21492

icsd-189695-10-[CuHg2Ti]

-2.15285

-2.14991

icsd-188260-01-[Heusler-AlCu2Mn]

-2.15285

-2.14991

icsd-635208-01-[CoGa3]

-2.1493

-2.14961

icsd-246555-01-[Co2Nd]

-2.11019

-2.11058

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

-2.09412

-2.09414

icsd-42773-01-[IrGe4]

-2.07896

-2.08346

icsd-107998-01-[MoNi4]

-2.06848

-2.06888

icsd-648748-01-[Pd4Se]

-2.05324

-2.05283

icsd-167735-01-[Ru2B3]

-2.02489

-2.02518

icsd-150584-01-[Fe13Ge3]

-1.99092

-1.98915

icsd-105521-01-[Al5W]

-1.95232

-1.95166

icsd-639148-01-[NiHg4]

-1.87198

-1.87224

icsd-108762-01-[Hg4Pt]

-1.87198

-1.87224

icsd-424636-01-[MnGa4]

-1.87198

-1.87224

icsd-97006-01-[InMg2]

-1.82663

-1.82665

icsd-58745-10-[Fe6Ge6Mg]

-1.52696

-1.52885

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.928

6.595

6.595

6.595

90.0

90.0

90.0

DFT

17.977

6.601

6.601

6.601

90.0

90.0

90.0

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

1

2

3

4

5

6

-414.0

336.3

301.1

0.0

0.0

0.0

336.3

-527.3

341.7

0.0

0.0

0.0

301.1

341.7

-429.4

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

11.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.809

4.631

4.631

6.077

90.0

90.0

120.0

DFT

18.812

4.638

4.638

6.058

90.0

90.0

120.0

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

1

2

3

4

5

6

87.6

65.2

26.5

0.0

0.0

0.0

65.2

87.6

26.5

0.0

0.0

0.0

26.5

26.5

64.0

0.0

0.0

0.0

0.0

0.0

0.0

15.2

0.0

0.0

0.0

0.0

0.0

0.0

15.2

0.0

0.0

0.0

0.0

0.0

0.0

11.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.037

3.073

3.073

4.412

90.0

90.0

120.0

DFT

17.893

3.06

3.06

4.413

90.0

90.0

120.0

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

1

2

3

4

5

6

59.2

39.8

42.8

0.0

0.0

0.0

39.8

59.2

42.8

0.0

0.0

0.0

42.8

42.8

100.5

0.0

0.0

0.0

0.0

0.0

0.0

14.9

0.0

0.0

0.0

0.0

0.0

0.0

14.9

0.0

0.0

0.0

0.0

0.0

0.0

9.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.336

6.969

6.969

4.187

90.0

90.0

90.0

DFT

20.344

6.945

6.945

4.217

90.0

90.0

90.0

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

1

2

3

4

5

6

62.6

25.4

45.4

0.0

0.0

-2.1

25.4

62.6

45.4

0.0

0.0

2.1

45.4

45.4

66.0

0.0

0.0

0.0

0.0

0.0

0.0

28.4

0.0

0.0

0.0

0.0

0.0

0.0

28.4

0.0

-2.1

2.1

0.0

0.0

0.0

14.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.05

3.918

3.918

8.362

90.0

90.0

90.0

DFT

15.914

3.916

3.916

8.302

90.0

90.0

90.0

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

1

2

3

4

5

6

71.7

99.4

53.3

0.0

0.0

0.0

99.4

71.7

53.3

0.0

0.0

0.0

53.3

53.3

92.2

0.0

0.0

0.0

0.0

0.0

0.0

6.2

0.0

0.0

0.0

0.0

0.0

0.0

6.2

0.0

0.0

0.0

0.0

0.0

0.0

37.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.044

3.305

3.305

3.305

90.0

90.0

90.0

DFT

18.081

3.307

3.307

3.307

90.0

90.0

90.0

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

1

2

3

4

5

6

46.9

77.5

77.5

0.0

0.0

0.0

77.5

46.9

77.5

0.0

0.0

0.0

77.5

77.5

46.9

0.0

0.0

0.0

0.0

0.0

0.0

18.5

0.0

0.0

0.0

0.0

0.0

0.0

18.5

0.0

0.0

0.0

0.0

0.0

0.0

18.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.242

4.254

4.254

4.254

90.0

90.0

90.0

DFT

19.274

4.256

4.256

4.256

90.0

90.0

90.0

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

1

2

3

4

5

6

73.9

39.3

39.3

0.0

0.0

0.0

39.3

73.9

39.3

0.0

0.0

0.0

39.3

39.3

73.9

0.0

0.0

0.0

0.0

0.0

0.0

37.8

0.0

0.0

0.0

0.0

0.0

0.0

37.8

0.0

0.0

0.0

0.0

0.0

0.0

37.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.9

4.146

4.146

6.945

90.0

90.0

90.0

DFT

20.078

4.17

4.17

6.93

90.0

90.0

90.0

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

1

2

3

4

5

6

116.6

47.8

63.7

0.0

0.0

0.0

47.8

116.6

63.7

0.0

0.0

0.0

63.7

63.7

149.5

0.0

0.0

0.0

0.0

0.0

0.0

38.6

0.0

0.0

0.0

0.0

0.0

0.0

38.6

0.0

0.0

0.0

0.0

0.0

0.0

29.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.093

3.921

3.921

16.745

90.0

90.0

90.0

DFT

15.921

3.937

3.937

16.435

90.0

90.0

90.0

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

1

2

3

4

5

6

75.5

87.0

46.4

0.0

0.0

0.0

87.0

75.5

46.4

0.0

0.0

0.0

46.4

46.4

62.0

0.0

0.0

0.0

0.0

0.0

0.0

-13319.3

0.0

0.0

0.0

0.0

0.0

0.0

-13319.3

0.0

0.0

0.0

0.0

0.0

0.0

39.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.317

5.272

5.272

5.272

90.0

90.0

90.0

DFT

18.307

5.271

5.271

5.271

90.0

90.0

90.0

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

1

2

3

4

5

6

69.8

74.3

74.3

0.0

0.0

0.0

74.3

69.8

74.3

0.0

0.0

0.0

74.3

74.3

69.8

0.0

0.0

0.0

0.0

0.0

0.0

-469573.9

0.0

0.0

0.0

0.0

0.0

0.0

-469573.9

0.0

0.0

0.0

0.0

0.0

0.0

-469573.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.183

6.875

6.875

4.058

90.0

90.0

90.0

DFT

19.205

6.911

6.911

4.021

90.0

90.0

90.0

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

1

2

3

4

5

6

122.9

60.1

52.2

0.0

0.0

0.0

60.1

122.9

52.2

0.0

0.0

0.0

52.2

52.2

90.8

0.0

0.0

0.0

0.0

0.0

0.0

26.3

0.0

0.0

0.0

0.0

0.0

0.0

26.3

0.0

0.0

0.0

0.0

0.0

0.0

39.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.594

6.868

6.868

4.229

90.0

90.0

120.0

DFT

19.359

6.048

6.048

4.889

90.0

90.0

120.0

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

1

2

3

4

5

6

49.8

27.8

41.8

0.0

0.0

0.0

27.8

49.8

41.8

0.0

0.0

0.0

41.8

41.8

95.6

0.0

0.0

0.0

0.0

0.0

0.0

28.7

0.0

0.0

0.0

0.0

0.0

0.0

28.7

0.0

0.0

0.0

0.0

0.0

0.0

11.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.563

3.735

15.134

6.256

95.18

90.0

90.0

DFT

19.016

3.729

15.432

5.949

90.0

90.0

90.0

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

1

2

3

4

5

6

112.8

66.7

46.5

-5.6

0.0

0.0

66.7

101.6

51.9

-3.2

0.0

0.0

46.5

51.9

64.0

-2.4

0.0

0.0

-5.6

-3.2

-2.4

15.4

0.0

0.0

0.0

0.0

0.0

0.0

12.2

2.9

0.0

0.0

0.0

0.0

2.9

34.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.376

3.91

3.91

6.82

90.0

90.0

90.0

DFT

18.855

4.409

4.409

5.82

90.0

90.0

90.0

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

1

2

3

4

5

6

85.5

66.9

75.3

0.0

0.0

0.0

66.9

85.5

75.3

0.0

0.0

0.0

75.3

75.3

123.8

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

-31.8

0.0

0.0

0.0

0.0

0.0

0.0

33.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.285

6.381

8.995

4.54

90.0

90.0

90.0

DFT

16.182

5.664

9.795

4.667

90.0

90.0

90.0

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

1

2

3

4

5

6

86930.8

87403.2

129126.1

0.0

0.0

-42473.0

87403.2

73.4

30.8

0.0

0.0

0.0

129126.1

30.8

73.8

0.0

0.0

0.0

0.0

0.0

0.0

3.4

0.0

0.0

0.0

0.0

0.0

0.0

5.4

0.0

-42473.0

0.0

0.0

0.0

0.0

-169894.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.168

5.629

5.629

9.426

90.0

90.0

120.0

DFT

16.125

5.701

5.701

9.165

90.0

90.0

120.0

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

1

2

3

4

5

6

248313.0

-111164.3

74268.6

45314.3

85630.4

0.1

-111164.3

-25716.6

-74138.7

45314.4

5002.7

0.0

74268.6

-74138.7

141.1

68967.0

68967.0

0.0

45314.3

45314.4

68967.0

9.1

0.0

0.0

85630.4

5002.7

68967.0

0.0

9.1

0.0

0.1

0.0

0.0

0.0

0.0

-17.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.871

7.094

7.094

4.103

90.0

90.0

120.0

DFT

19.672

7.072

7.072

4.088

90.0

90.0

120.0

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

1

2

3

4

5

6

127.7

66.6

58.9

0.0

0.0

0.0

66.6

127.7

58.9

0.0

0.0

0.0

58.9

58.9

111.6

0.0

0.0

0.0

0.0

0.0

0.0

28.8

0.0

0.0

0.0

0.0

0.0

0.0

28.8

0.0

0.0

0.0

0.0

0.0

0.0

30.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.032

6.927

6.927

3.341

90.0

90.0

90.0

DFT

15.836

6.915

6.915

3.311

90.0

90.0

90.0

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

1

2

3

4

5

6

94.0

48.6

45.7

0.0

0.0

-0.1

48.6

94.0

45.7

0.0

0.0

0.1

45.7

45.7

103.1

0.0

0.0

0.0

0.0

0.0

0.0

39.8

0.0

0.0

0.0

0.0

0.0

0.0

39.8

0.0

-0.1

0.1

0.0

0.0

0.0

23.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.612

5.47

5.47

8.969

90.0

90.0

118.7

DFT

20.542

5.626

5.626

8.993

90.0

90.0

120.0

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

1

2

3

4

5

6

50.4

31.4

44.7

0.0

0.0

2.7

31.4

61.5

47.5

0.0

0.0

7.4

44.7

47.5

103.0

0.0

0.0

2.5

0.0

0.0

0.0

21.7

11.7

0.0

0.0

0.0

0.0

11.7

8.9

0.0

2.7

7.4

2.5

0.0

0.0

15.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.936

4.991

4.991

7.065

90.0

90.0

120.0

DFT

16.791

4.992

4.992

7.002

90.0

90.0

120.0

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

1

2

3

4

5

6

80.1

54.6

48.7

0.0

0.0

0.0

54.6

80.1

48.7

0.0

0.0

0.0

48.7

48.7

130.1

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

15.4

0.0

0.0

0.0

0.0

0.0

0.0

12.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.26

6.384

6.384

6.384

90.0

90.0

90.0

DFT

16.325

6.392

6.392

6.392

90.0

90.0

90.0

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

1

2

3

4

5

6

60.2

96.2

96.2

0.0

0.0

0.0

96.2

60.2

96.2

0.0

0.0

0.0

96.2

96.2

60.2

0.0

0.0

0.0

0.0

0.0

0.0

-39.8

0.0

0.0

0.0

0.0

0.0

0.0

-39.8

0.0

0.0

0.0

0.0

0.0

0.0

-39.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.709

5.941

5.941

5.308

90.0

90.0

145.45

DFT

17.214

4.665

4.665

5.479

90.0

90.0

120.0

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

1

2

3

4

5

6

63.2

45.7

54.4

0.0

0.0

8.6

45.7

109.2

42.4

0.0

0.0

7.3

54.4

42.4

119.0

0.0

0.0

-4.1

0.0

0.0

0.0

17.0

3.2

0.0

0.0

0.0

0.0

3.2

7.6

0.0

8.6

7.3

-4.1

0.0

0.0

20.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.875

3.99

3.99

3.99

90.0

90.0

90.0

DFT

15.838

3.986

3.986

3.986

90.0

90.0

90.0

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

1

2

3

4

5

6

93.8

54.0

54.0

0.0

0.0

0.0

54.0

93.8

54.0

0.0

0.0

0.0

54.0

54.0

93.8

0.0

0.0

0.0

0.0

0.0

0.0

31.1

0.0

0.0

0.0

0.0

0.0

0.0

31.1

0.0

0.0

0.0

0.0

0.0

0.0

31.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.16

3.152

3.152

8.441

90.0

90.0

120.0

DFT

18.022

3.14

3.14

8.442

90.0

90.0

120.0

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

1

2

3

4

5

6

69.3

46.7

46.8

0.0

0.0

0.0

46.7

69.3

46.8

0.0

0.0

0.0

46.8

46.8

180.1

0.0

0.0

0.0

0.0

0.0

0.0

42.7

0.0

0.0

0.0

0.0

0.0

0.0

42.7

0.0

0.0

0.0

0.0

0.0

0.0

11.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.688

4.26

4.26

8.679

90.0

90.0

90.0

DFT

19.594

4.248

4.248

8.686

90.0

90.0

90.0

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

1

2

3

4

5

6

73.4

50.2

34.9

0.0

0.0

0.0

50.2

73.4

34.9

0.0

0.0

0.0

34.9

34.9

77.9

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

34.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.219

5.781

8.851

3.561

90.0

90.0

90.0

DFT

19.518

7.149

7.149

3.819

90.0

90.0

90.0

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

1

2

3

4

5

6

123.6

48.1

48.9

0.0

0.0

0.0

48.1

115.6

47.9

0.0

0.0

0.0

48.9

47.9

93.9

0.0

0.0

0.0

0.0

0.0

0.0

26.4

0.0

0.0

0.0

0.0

0.0

0.0

26.2

0.0

0.0

0.0

0.0

0.0

0.0

35.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.329

5.265

5.265

8.162

90.0

90.0

120.0

DFT

16.312

5.207

5.207

8.335

90.0

90.0

120.0

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

1

2

3

4

5

6

111.1

68.4

66.0

0.0

0.0

0.0

68.4

111.1

66.0

0.0

0.0

0.0

66.0

66.0

130.1

0.0

0.0

0.0

0.0

0.0

0.0

17.8

0.0

0.0

0.0

0.0

0.0

0.0

17.8

0.0

0.0

0.0

0.0

0.0

0.0

21.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.949

5.088

5.088

7.608

90.0

90.0

120.0

DFT

19.236

5.145

5.145

7.552

90.0

90.0

120.0

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

1

2

3

4

5

6

82.9

54.8

37.0

0.0

0.0

0.0

54.8

82.9

37.0

0.0

0.0

0.0

37.0

37.0

85.7

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

14.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.967

6.6

6.6

6.6

90.0

90.0

90.0

DFT

17.956

6.598

6.598

6.598

90.0

90.0

90.0

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

1

2

3

4

5

6

43.6

80.5

80.5

0.0

0.0

0.0

80.5

43.6

80.5

0.0

0.0

0.0

80.5

80.5

43.6

0.0

0.0

0.0

0.0

0.0

0.0

-269252.7

0.0

0.0

0.0

0.0

0.0

0.0

-269252.7

0.0

0.0

0.0

0.0

0.0

0.0

-269252.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.277

6.055

6.055

9.714

90.0

90.0

120.0

DFT

19.306

6.016

6.016

9.855

90.0

90.0

120.0

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

1

2

3

4

5

6

82.3

30.7

32.9

0.0

0.0

0.0

30.7

82.3

32.9

0.0

0.0

0.0

32.9

32.9

94.8

0.0

0.0

0.0

0.0

0.0

0.0

24.4

0.0

0.0

0.0

0.0

0.0

0.0

24.4

0.0

0.0

0.0

0.0

0.0

0.0

25.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.419

4.263

4.263

17.094

90.0

90.0

90.0

DFT

19.491

4.286

4.286

16.975

90.0

90.0

90.0

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

1

2

3

4

5

6

80.2

42.0

40.1

0.0

0.0

0.0

42.0

80.2

40.1

0.0

0.0

0.0

40.1

40.1

70.1

0.0

0.0

0.0

0.0

0.0

0.0

32.1

0.0

0.0

0.0

0.0

0.0

0.0

32.1

0.0

0.0

0.0

0.0

0.0

0.0

35.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.471

2.968

2.968

3.965

90.0

90.0

90.0

DFT

17.469

2.97

2.97

3.96

90.0

90.0

90.0

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

1

2

3

4

5

6

98.0

35.9

55.3

0.0

0.0

0.0

35.9

98.0

55.3

0.0

0.0

0.0

55.3

55.3

130.3

0.0

0.0

0.0

0.0

0.0

0.0

21.3

0.0

0.0

0.0

0.0

0.0

0.0

21.3

0.0

0.0

0.0

0.0

0.0

0.0

22.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.481

6.78

6.78

6.78

90.0

90.0

90.0

DFT

20.151

6.857

6.857

6.857

90.0

90.0

90.0

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

1

2

3

4

5

6

21.9

42.9

42.9

0.0

0.0

0.0

42.9

21.9

42.9

0.0

0.0

0.0

42.9

42.9

21.9

0.0

0.0

0.0

0.0

0.0

0.0

22.5

0.0

0.0

0.0

0.0

0.0

0.0

22.5

0.0

0.0

0.0

0.0

0.0

0.0

22.5