gtinv-194 (Al-Y-2022-07-21)

Energy distribution

../../../../_images/distribution220.png

Convex hull (formation energy)

../../../../_images/convex220.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Al

0.25

-0.4394

icsd-104506-10-[Ni3Sn]

0.25

-0.4394

icsd-260285-10-[UCl3]

0.3333

-0.5359

icsd-246555-01-[Co2Nd]

0.6

-0.3591

icsd-639227-10-[Si2U3]

1.0

0.0

Y

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-sep220.png

Prototype structure energy

../../../../_images/icsd-pred220.png

Phonon density of states

../../../../_images/dos220.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-42428-01-[Fe3Pt]

-4.21827

-4.21964

icsd-108707-01-[HgMn]

-4.21827

-4.21979

icsd-59508-01-[AuCu]

-4.21827

-4.21979

icsd-650527-01-[CsCl]

-4.21827

-4.21974

icsd-106325-01-[BiIn]

-4.21826

-4.21966

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

-4.21826

-4.21981

icsd-102712-01-[CoU]

-4.21792

-4.21957

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

-4.21768

-4.21878

icsd-105948-01-[InNi2]

-4.21767

-4.21878

icsd-246555-01-[Co2Nd]

-4.21225

-4.21184

icsd-639227-10-[Si2U3]

-4.21111

-4.21158

icsd-629380-10-[Al3Os2]

-4.20342

-4.20371

icsd-639879-10-[In5In4]

-4.20068

-4.20301

icsd-105726-01-[Pd5Ti3]

-4.20035

-4.2007

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

-4.19922

-4.19922

icsd-58471-01-[CuZr2]

-4.19467

-4.19504

icsd-58607-10-[Au2Ti]

-4.19466

-4.19504

icsd-652553-10-[AlCr2-MoSi2]

-4.19465

-4.19504

icsd-104506-01-[Ni3Sn]

-4.18294

-4.18404

icsd-260285-01-[UCl3]

-4.18293

-4.18406

icsd-611176-01-[Fe2P]

-4.18184

-4.18349

icsd-649037-01-[Ni3Ti]

-4.17698

-4.1661

icsd-181127-10-[Auricupride-AuCu3]

-4.17356

-4.1732

icsd-99787-10-[Fe3Pt]

-4.17356

-4.1732

icsd-648572-01-[CuInPt2]

-4.17356

-4.1732

icsd-609153-01-[AlPt3]

-4.17356

-4.1732

icsd-69199-01-[U3Si]

-4.17356

-4.17322

icsd-103995-01-[Ga3Ti2]

-4.17277

-4.17305

icsd-97006-10-[InMg2]

-4.1684

-4.16996

icsd-59586-10-[Pd5Th3]

-4.1544

-4.15436

icsd-416747-01-[Al3Zr]

-4.15327

-4.15672

icsd-640726-10-[CuSmP2]

-4.15327

-4.15672

icsd-643301-01-[Au3Cd]

-4.15323

-4.15672

icsd-155842-10-[Co5Fe11]

-4.14756

-4.1531

icsd-420250-01-[LiPd2Tl]

-4.13268

-4.13242

icsd-105191-01-[Al3Ti]

-4.13268

-4.13242

icsd-16606-01-[Nb3Te4]

-4.13214

-4.13733

icsd-409859-10-[La2Sb]

-4.1304

-4.13338

icsd-59586-01-[Pd5Th3]

-4.12871

-4.12899

icsd-30446-01-[Fe2B]

-4.12253

-4.12178

icsd-409859-01-[La2Sb]

-4.11917

-4.11901

icsd-610464-10-[PbClF/Cu2Sb]

-4.11782

-4.11404

icsd-107998-10-[MoNi4]

-4.11264

-4.1137

icsd-42773-10-[IrGe4]

-4.10627

-4.12692

icsd-610464-01-[PbClF/Cu2Sb]

-4.09836

-4.09823

icsd-16606-10-[Nb3Te4]

-4.09672

-4.10372

icsd-103995-10-[Ga3Ti2]

-4.09603

-4.09607

icsd-629406-10-[Cu4Ti3]

-4.09352

-4.09612

icsd-105521-10-[Al5W]

-4.09192

-4.0914

icsd-648748-10-[Pd4Se]

-4.08761

-4.08624

icsd-639879-01-[In5In4]

-4.0802

-4.07913

icsd-16504-01-[CrSi2]

-4.07106

-4.06793

icsd-185626-10-[Al3Ni2]

-4.06697

-4.06102

icsd-105636-01-[PbU]

-4.06435

-4.06424

icsd-611457-01-[NbAs]

-4.06435

-4.06424

icsd-240119-01-[AlLi]

-4.06427

-4.0642

icsd-260285-10-[UCl3]

-4.05345

-4.05345

icsd-104506-10-[Ni3Sn]

-4.05345

-4.05347

icsd-649037-10-[Ni3Ti]

-4.04616

-4.04924

icsd-167735-10-[Ru2B3]

-4.04154

-4.04169

icsd-629380-01-[Al3Os2]

-4.04087

-4.04161

icsd-609153-10-[AlPt3]

-4.03826

-4.03834

icsd-99787-01-[Fe3Pt]

-4.03826

-4.03847

icsd-648572-10-[CuInPt2]

-4.03826

-4.03848

icsd-181127-01-[Auricupride-AuCu3]

-4.03825

-4.03848

icsd-69199-10-[U3Si]

-4.03823

-4.03833

icsd-188260-10-[Heusler-AlCu2Mn]

-4.03689

-4.03185

icsd-189695-01-[CuHg2Ti]

-4.03688

-4.03184

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

-4.03361

-4.03416

icsd-150584-10-[Fe13Ge3]

-4.03316

-4.0385

icsd-5258-01-[FeSi2]

-4.02399

-4.02466

icsd-161109-01-[CoSn]

-4.02311

-4.02187

icsd-155842-01-[Co5Fe11]

-4.00712

-4.00249

icsd-635642-01-[Hg5Mn2]

-4.00513

-4.01497

icsd-635208-10-[CoGa3]

-4.005

-4.02026

icsd-105726-10-[Pd5Ti3]

-3.99972

-3.99949

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

-3.98345

-3.98334

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

-3.98345

-3.98334

icsd-639037-01-[HgIn]

-3.98345

-3.98334

icsd-611618-01-[TiAs]

-3.9832

-3.98361

icsd-618702-01-[ScTe]

-3.9832

-3.98361

icsd-168897-01-[LaI]

-3.98238

-3.98239

icsd-626692-01-[Nickeline-NiAs]

-3.98238

-3.98239

icsd-638227-10-[Fluorite-CaF2]

-3.98219

-3.98274

icsd-629406-01-[Cu4Ti3]

-3.98192

-3.97712

icsd-248490-10-[Pt2Si]

-3.98183

-3.98282

icsd-169457-10-[ZrH2]

-3.98179

-3.98283

icsd-416747-10-[Al3Zr]

-3.97177

-3.9745

icsd-640726-01-[CuSmP2]

-3.97176

-3.9745

icsd-643301-10-[Au3Cd]

-3.97175

-3.9745

icsd-106786-10-[Hg2Pt]

-3.96218

-3.96465

icsd-635060-01-[Fersilicite-FeSi]

-3.9474

-3.94861

icsd-239-01-[Cu3Se2]

-3.93754

-3.93761

icsd-58471-10-[CuZr2]

-3.93326

-3.93306

icsd-58607-01-[Au2Ti]

-3.93325

-3.93306

icsd-652553-01-[AlCr2-MoSi2]

-3.93325

-3.93305

icsd-659829-10-[Al2Li3]

-3.93319

-3.93525

icsd-105191-10-[Al3Ti]

-3.91053

-3.91053

icsd-420250-10-[LiPd2Tl]

-3.91053

-3.91053

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

-3.90831

-3.90822

icsd-105948-10-[InNi2]

-3.90831

-3.90822

icsd-100654-01-[BiSe]

-3.9037

-3.90314

icsd-644708-01-[WC]

-3.90285

-3.90269

icsd-659856-01-[LiPt]

-3.90284

-3.90269

icsd-55492-01-[BaPt]

-3.89218

-3.89247

icsd-239-10-[Cu3Se2]

-3.88237

-3.88242

icsd-618295-01-[MoC1-x]

-3.87971

-3.87919

icsd-659829-01-[Al2Li3]

-3.86755

-3.86497

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

-3.85259

-3.85242

icsd-635642-10-[Hg5Mn2]

-3.78955

-3.7906

icsd-639227-01-[Si2U3]

-3.77354

-3.77289

icsd-30446-10-[Fe2B]

-3.76383

-3.76461

icsd-16504-10-[CrSi2]

-3.76085

-3.76001

icsd-185626-01-[Al3Ni2]

-3.76009

-3.76351

icsd-42773-01-[IrGe4]

-3.75535

-3.75898

icsd-181788-01-[NaCl]

-3.75017

-3.74928

icsd-42472-01-[CoO]

-3.75017

-3.74927

icsd-107998-01-[MoNi4]

-3.74557

-3.74596

icsd-648748-01-[Pd4Se]

-3.73801

-3.73777

icsd-103775-01-[NaTl]

-3.72524

-3.72162

icsd-106786-01-[Hg2Pt]

-3.70943

-3.70928

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

-3.70555

-3.70664

icsd-150584-01-[Fe13Ge3]

-3.70428

-3.70261

icsd-5258-10-[FeSi2]

-3.70079

-3.70065

icsd-188260-01-[Heusler-AlCu2Mn]

-3.69237

-3.69048

icsd-189695-10-[CuHg2Ti]

-3.69237

-3.69048

icsd-58745-01-[Fe6Ge6Mg]

-3.68953

-3.69515

icsd-424636-10-[MnGa4]

-3.66969

-3.67028

icsd-108762-10-[Hg4Pt]

-3.66969

-3.67028

icsd-639148-10-[NiHg4]

-3.66969

-3.67028

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

-3.66841

-3.66834

icsd-105521-01-[Al5W]

-3.62504

-3.6245

icsd-611176-10-[Fe2P]

-3.6144

-3.63388

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

-3.60617

-3.60608

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

-3.55833

-3.55891

icsd-73839-01-[Ni3S2]

-3.55625

-3.5551

icsd-167735-01-[Ru2B3]

-3.54058

-3.54062

icsd-58745-10-[Fe6Ge6Mg]

-3.53476

-3.52861

icsd-246555-10-[Co2Nd]

-3.53182

-3.53207

icsd-73839-10-[Ni3S2]

-3.48579

-3.48658

icsd-97006-01-[InMg2]

-3.46902

-3.46769

icsd-248490-01-[Pt2Si]

-3.43498

-3.43391

icsd-169457-01-[ZrH2]

-3.43498

-3.43395

icsd-638227-01-[Fluorite-CaF2]

-3.43498

-3.43409

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

-3.39539

-3.39562

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

-3.31104

-3.31

icsd-635208-01-[CoGa3]

-3.22692

-3.22646

icsd-639148-01-[NiHg4]

-2.88331

-2.88097

icsd-108762-01-[Hg4Pt]

-2.88331

-2.88097

icsd-424636-01-[MnGa4]

-2.88331

-2.88097

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.327

7.2

7.2

7.2

90.0

90.0

90.0

DFT

23.376

7.205

7.205

7.205

90.0

90.0

90.0

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

1

2

3

4

5

6

99.0

75.1

75.1

0.0

0.0

0.0

75.1

99.0

75.1

0.0

0.0

0.0

75.1

75.1

99.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.397

5.586

4.287

5.806

90.0

90.0

112.56

DFT

21.045

4.935

4.935

5.986

90.0

90.0

120.0

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

1

2

3

4

5

6

162.3

50.4

29.4

0.0

0.0

-1.8

50.4

140.2

42.5

0.0

0.0

12.9

29.4

42.5

123.7

0.0

0.0

-6.6

0.0

0.0

0.0

44.9

-6.3

0.0

0.0

0.0

0.0

-6.3

32.3

0.0

-1.8

12.9

-6.6

0.0

0.0

50.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.273

3.497

3.497

4.774

90.0

90.0

120.0

DFT

25.275

3.46

3.46

4.875

90.0

90.0

120.0

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

1

2

3

4

5

6

52.9

39.5

41.8

0.0

0.0

0.0

39.5

52.9

41.8

0.0

0.0

0.0

41.8

41.8

119.6

0.0

0.0

0.0

0.0

0.0

0.0

40.5

0.0

0.0

0.0

0.0

0.0

0.0

40.5

0.0

0.0

0.0

0.0

0.0

0.0

6.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.814

7.279

6.688

4.231

90.0

90.0

74.13

DFT

19.503

6.859

6.859

4.146

90.0

90.0

90.0

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

1

2

3

4

5

6

121.6

45.6

37.0

0.0

0.0

-27.3

45.6

88.4

76.1

0.0

0.0

4.4

37.0

76.1

128.1

0.0

0.0

-2.9

0.0

0.0

0.0

55.9

4.4

0.0

0.0

0.0

0.0

4.4

14.0

0.0

-27.3

4.4

-2.9

0.0

0.0

32.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.403

4.717

4.717

9.851

90.0

90.0

90.0

DFT

27.213

4.696

4.696

9.874

90.0

90.0

90.0

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

1

2

3

4

5

6

60.9

67.9

45.3

0.0

0.0

0.0

67.9

60.9

45.3

0.0

0.0

0.0

45.3

45.3

93.2

0.0

0.0

0.0

0.0

0.0

0.0

38.1

0.0

0.0

0.0

0.0

0.0

0.0

38.1

0.0

0.0

0.0

0.0

0.0

0.0

37.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.327

3.6

3.6

3.6

90.0

90.0

90.0

DFT

23.308

3.599

3.599

3.599

90.0

90.0

90.0

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

1

2

3

4

5

6

99.0

75.1

75.1

0.0

0.0

0.0

75.1

99.0

75.1

0.0

0.0

0.0

75.1

75.1

99.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.342

4.261

4.261

4.261

90.0

90.0

90.0

DFT

19.255

4.255

4.255

4.255

90.0

90.0

90.0

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

1

2

3

4

5

6

153.7

41.8

41.8

0.0

0.0

0.0

41.8

153.7

41.8

0.0

0.0

0.0

41.8

41.8

153.7

0.0

0.0

0.0

0.0

0.0

0.0

66.4

0.0

0.0

0.0

0.0

0.0

0.0

66.4

0.0

0.0

0.0

0.0

0.0

0.0

66.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.498

4.189

4.189

7.35

90.0

90.0

90.0

DFT

21.511

4.184

4.184

7.372

90.0

90.0

90.0

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

1

2

3

4

5

6

118.1

63.5

42.9

0.0

0.0

0.0

63.5

118.1

42.9

0.0

0.0

0.0

42.9

42.9

119.0

0.0

0.0

0.0

0.0

0.0

0.0

42.3

0.0

0.0

0.0

0.0

0.0

0.0

42.3

0.0

0.0

0.0

0.0

0.0

0.0

71.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.389

4.755

4.755

19.384

90.0

90.0

90.0

DFT

27.204

4.718

4.718

19.552

90.0

90.0

90.0

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

1

2

3

4

5

6

81.5

47.0

47.3

0.0

0.0

0.0

47.0

81.5

47.3

0.0

0.0

0.0

47.3

47.3

99.8

0.0

0.0

0.0

0.0

0.0

0.0

38.5

0.0

0.0

0.0

0.0

0.0

0.0

38.5

0.0

0.0

0.0

0.0

0.0

0.0

37.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.001

5.848

5.848

5.848

90.0

90.0

90.0

DFT

24.953

5.844

5.844

5.844

90.0

90.0

90.0

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

1

2

3

4

5

6

-17.3

98.7

98.7

0.0

0.0

0.0

98.7

-17.3

98.7

0.0

0.0

0.0

98.7

98.7

-17.3

0.0

0.0

0.0

0.0

0.0

0.0

-612334.6

0.0

0.0

0.0

0.0

0.0

0.0

-612334.6

0.0

0.0

0.0

0.0

0.0

0.0

-612334.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.858

8.431

8.431

3.497

90.0

90.0

90.0

DFT

24.92

8.332

8.332

3.59

90.0

90.0

90.0

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

1

2

3

4

5

6

19.6

124.1

40.5

0.0

0.0

0.0

124.1

19.6

40.5

0.0

0.0

0.0

40.5

40.5

86.7

0.0

0.0

0.0

0.0

0.0

0.0

31.4

0.0

0.0

0.0

0.0

0.0

0.0

31.4

0.0

0.0

0.0

0.0

0.0

0.0

48.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.748

6.265

6.265

4.648

90.0

90.0

120.0

DFT

19.723

6.287

6.287

4.609

90.0

90.0

120.0

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

1

2

3

4

5

6

117.9

44.7

67.5

0.0

0.0

0.0

44.7

117.9

67.5

0.0

0.0

0.0

67.5

67.5

148.1

0.0

0.0

0.0

0.0

0.0

0.0

62.9

0.0

0.0

0.0

0.0

0.0

0.0

62.9

0.0

0.0

0.0

0.0

0.0

0.0

36.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.016

8.572

8.572

3.821

90.0

90.0

120.0

DFT

26.972

8.672

8.672

3.727

90.0

90.0

120.0

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

1

2

3

4

5

6

109.9

52.1

58.9

0.0

0.0

0.0

52.1

109.9

58.9

0.0

0.0

0.0

58.9

58.9

69.5

0.0

0.0

0.0

0.0

0.0

0.0

35.2

0.0

0.0

0.0

0.0

0.0

0.0

35.2

0.0

0.0

0.0

0.0

0.0

0.0

28.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.873

4.538

4.538

8.121

90.0

90.0

90.0

DFT

27.931

4.53

4.53

8.165

90.0

90.0

90.0

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

1

2

3

4

5

6

53.8

68.2

45.3

0.0

0.0

0.0

68.2

53.8

45.3

0.0

0.0

0.0

45.3

45.3

87.5

0.0

0.0

0.0

0.0

0.0

0.0

13.6

0.0

0.0

0.0

0.0

0.0

0.0

13.6

0.0

0.0

0.0

0.0

0.0

0.0

40.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.138

6.821

6.821

5.389

90.0

90.0

120.0

DFT

27.103

6.852

6.852

5.333

90.0

90.0

120.0

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

1

2

3

4

5

6

100.0

53.6

47.8

0.0

0.0

0.0

53.6

100.0

47.8

0.0

0.0

0.0

47.8

47.8

102.9

0.0

0.0

0.0

0.0

0.0

0.0

33.4

0.0

0.0

0.0

0.0

0.0

0.0

33.4

0.0

0.0

0.0

0.0

0.0

0.0

23.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.151

6.777

6.777

10.923

90.0

90.0

120.0

DFT

27.273

6.786

6.786

10.943

90.0

90.0

120.0

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

1

2

3

4

5

6

105.5

45.4

38.9

0.0

0.0

0.0

45.4

105.5

38.9

0.0

0.0

0.0

38.9

38.9

111.5

0.0

0.0

0.0

0.0

0.0

0.0

30.1

0.0

0.0

0.0

0.0

0.0

0.0

30.1

0.0

0.0

0.0

0.0

0.0

0.0

30.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.163

7.673

7.673

3.403

90.0

90.0

95.31

DFT

22.731

8.421

8.421

3.332

90.0

90.0

120.0

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

1

2

3

4

5

6

129.7

43.9

59.3

0.0

0.0

6.9

43.9

131.8

56.8

0.0

0.0

4.3

59.3

56.8

76.8

0.0

0.0

-13.5

0.0

0.0

0.0

32.5

-1.2

0.0

0.0

0.0

0.0

-1.2

32.8

0.0

6.9

4.3

-13.5

0.0

0.0

29.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.236

7.675

7.675

4.794

90.0

90.0

90.0

DFT

28.173

7.793

7.793

4.639

90.0

90.0

90.0

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

1

2

3

4

5

6

96.0

48.1

52.7

0.0

0.0

-10.3

48.1

96.0

52.7

0.0

0.0

10.3

52.7

52.7

73.9

0.0

0.0

0.0

0.0

0.0

0.0

39.0

0.0

0.0

0.0

0.0

0.0

0.0

39.0

0.0

-10.3

10.3

0.0

0.0

0.0

30.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.333

5.546

5.546

9.16

90.0

90.0

120.0

DFT

20.381

5.535

5.535

9.219

90.0

90.0

120.0

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

1

2

3

4

5

6

167.5

35.4

43.3

0.0

0.0

0.0

35.4

167.5

43.3

0.0

0.0

0.0

43.3

43.3

159.7

0.0

0.0

0.0

0.0

0.0

0.0

58.0

0.0

0.0

0.0

0.0

0.0

0.0

58.0

0.0

0.0

0.0

0.0

0.0

0.0

66.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.511

5.704

5.704

8.467

90.0

90.0

120.0

DFT

26.097

5.654

5.654

8.482

90.0

90.0

120.0

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

1

2

3

4

5

6

74.5

41.9

32.5

0.0

0.0

0.0

41.9

74.5

32.5

0.0

0.0

0.0

32.5

32.5

111.1

0.0

0.0

0.0

0.0

0.0

0.0

-17.4

0.0

0.0

0.0

0.0

0.0

0.0

-17.4

0.0

0.0

0.0

0.0

0.0

0.0

16.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.772

7.631

7.631

7.631

90.0

90.0

90.0

DFT

27.278

7.585

7.585

7.585

90.0

90.0

90.0

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

1

2

3

4

5

6

53.7

59.1

59.1

0.0

0.0

0.0

59.1

53.7

59.1

0.0

0.0

0.0

59.1

59.1

53.7

0.0

0.0

0.0

0.0

0.0

0.0

33.1

0.0

0.0

0.0

0.0

0.0

0.0

33.1

0.0

0.0

0.0

0.0

0.0

0.0

33.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.083

5.224

5.224

6.623

90.0

90.0

120.0

DFT

26.493

5.249

5.249

6.663

90.0

90.0

120.0

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

1

2

3

4

5

6

91.6

45.9

35.8

0.0

0.0

0.0

45.9

91.6

35.8

0.0

0.0

0.0

35.8

35.8

117.6

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

22.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.215

4.775

4.775

4.775

90.0

90.0

90.0

DFT

27.16

4.772

4.772

4.772

90.0

90.0

90.0

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

1

2

3

4

5

6

88.8

43.0

43.0

0.0

0.0

0.0

43.0

88.8

43.0

0.0

0.0

0.0

43.0

43.0

88.8

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

36.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.303

3.566

3.566

9.189

90.0

90.0

120.0

DFT

25.42

3.577

3.577

9.174

90.0

90.0

120.0

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

1

2

3

4

5

6

73.8

49.2

45.6

0.0

0.0

0.0

49.2

73.8

45.6

0.0

0.0

0.0

45.6

45.6

98.4

0.0

0.0

0.0

0.0

0.0

0.0

50.0

0.0

0.0

0.0

0.0

0.0

0.0

50.0

0.0

0.0

0.0

0.0

0.0

0.0

12.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.966

4.173

4.173

9.174

90.0

90.0

90.0

DFT

20.093

4.185

4.185

9.176

90.0

90.0

90.0

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

1

2

3

4

5

6

132.4

73.0

54.7

0.0

0.0

0.0

73.0

132.4

54.7

0.0

0.0

0.0

54.7

54.7

121.8

0.0

0.0

0.0

0.0

0.0

0.0

39.7

0.0

0.0

0.0

0.0

0.0

0.0

39.7

0.0

0.0

0.0

0.0

0.0

0.0

86.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.767

7.758

7.758

4.448

90.0

90.0

90.0

DFT

26.373

8.213

8.213

3.91

90.0

90.0

90.0

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

1

2

3

4

5

6

110.0

46.1

46.4

0.0

0.0

0.0

46.1

110.0

46.4

0.0

0.0

0.0

46.4

46.4

77.9

0.0

0.0

0.0

0.0

0.0

0.0

49.5

0.0

0.0

0.0

0.0

0.0

0.0

49.5

0.0

0.0

0.0

0.0

0.0

0.0

29.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.352

8.314

5.078

7.865

90.0

90.0

107.78

DFT

27.463

6.09

6.09

10.261

90.0

90.0

120.0

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

1

2

3

4

5

6

99.1

34.1

65.2

0.0

0.0

7.7

34.1

90.3

60.5

0.0

0.0

-4.5

65.2

60.5

81.8

0.0

0.0

1.7

0.0

0.0

0.0

33.0

-4.7

0.0

0.0

0.0

0.0

-4.7

19.7

0.0

7.7

-4.5

1.7

0.0

0.0

26.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.396

5.895

4.545

8.153

90.0

90.0

112.67

DFT

22.509

5.319

5.319

8.269

90.0

90.0

120.0

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

1

2

3

4

5

6

138.0

41.5

20.2

0.0

0.0

-16.6

41.5

125.8

18.5

0.0

0.0

22.8

20.2

18.5

123.5

0.0

0.0

0.9

0.0

0.0

0.0

4599.2

7873.4

0.0

0.0

0.0

0.0

7873.4

11090.9

0.0

-16.6

22.8

0.9

0.0

0.0

44.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.485

7.216

7.216

7.216

90.0

90.0

90.0

DFT

23.414

7.209

7.209

7.209

90.0

90.0

90.0

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

1

2

3

4

5

6

27.6

80.5

80.5

0.0

48656.2

-97844.9

80.5

27.6

80.5

0.0

23459.0

80266.4

80.5

80.5

27.6

0.0

-28295.5

94334.2

0.0

0.0

0.0

-34118.9

-25629.3

-8532.4

48656.2

23459.0

-28295.5

-25629.3

100241.1

-24906.5

-97844.9

80266.4

94334.2

-8532.4

-24906.5

18.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.241

6.071

6.071

9.645

90.0

90.0

120.0

DFT

19.382

6.123

6.123

9.55

90.0

90.0

120.0

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

1

2

3

4

5

6

141.7

29.0

39.2

0.0

0.0

0.0

29.0

141.7

39.2

0.0

0.0

0.0

39.2

39.2

159.3

0.0

0.0

0.0

0.0

0.0

0.0

60.9

0.0

0.0

0.0

0.0

0.0

0.0

60.9

0.0

0.0

0.0

0.0

0.0

0.0

56.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.788

4.224

4.224

17.741

90.0

90.0

90.0

DFT

19.725

4.2

4.2

17.891

90.0

90.0

90.0

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

1

2

3

4

5

6

148.6

55.8

51.5

0.0

0.0

0.0

55.8

148.6

51.5

0.0

0.0

0.0

51.5

51.5

112.1

0.0

0.0

0.0

0.0

0.0

0.0

44.4

0.0

0.0

0.0

0.0

0.0

0.0

44.4

0.0

0.0

0.0

0.0

0.0

0.0

72.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.327

3.6

3.6

3.6

90.0

90.0

90.0

DFT

23.343

3.601

3.601

3.601

90.0

90.0

90.0

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

1

2

3

4

5

6

99.0

75.1

75.1

0.0

0.0

0.0

75.1

99.0

75.1

0.0

0.0

0.0

75.1

75.1

99.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.276

6.871

6.871

6.871

90.0

90.0

90.0

DFT

20.074

6.848

6.848

6.848

90.0

90.0

90.0

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

1

2

3

4

5

6

21.1

78.0

78.0

0.0

0.0

0.0

78.0

21.1

78.0

0.0

0.0

0.0

78.0

78.0

21.1

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

-22.2