gtinv-182 (Ge-Pb-2022-06-12)

Energy distribution

../../../../_images/distribution452.png

Convex hull (formation energy)

../../../../_images/convex452.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Ge

1.0

0.0

Pb

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-sep452.png

Prototype structure energy

../../../../_images/icsd-pred452.png

Phonon density of states

../../../../_images/dos452.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-42773-01-[IrGe4]

-3.37161

-3.36944

icsd-107998-01-[MoNi4]

-3.3453

-3.34528

icsd-58745-10-[Fe6Ge6Mg]

-3.33352

-3.34012

icsd-97006-01-[InMg2]

-3.32049

-3.32097

icsd-416747-10-[Al3Zr]

-3.31033

-3.30964

icsd-640726-01-[CuSmP2]

-3.31028

-3.30963

icsd-643301-10-[Au3Cd]

-3.31023

-3.30966

icsd-610464-01-[PbClF/Cu2Sb]

-3.28751

-3.28797

icsd-150584-01-[Fe13Ge3]

-3.28399

-3.2785

icsd-104506-10-[Ni3Sn]

-3.28031

-3.28115

icsd-260285-10-[UCl3]

-3.2803

-3.28112

icsd-648748-01-[Pd4Se]

-3.27523

-3.27518

icsd-409859-01-[La2Sb]

-3.26911

-3.26896

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

-3.26861

-3.26881

icsd-105521-01-[Al5W]

-3.26627

-3.2672

icsd-58471-10-[CuZr2]

-3.26372

-3.26301

icsd-652553-01-[AlCr2-MoSi2]

-3.26371

-3.26301

icsd-58607-01-[Au2Ti]

-3.26362

-3.26297

icsd-246555-01-[Co2Nd]

-3.26097

-3.26067

icsd-239-01-[Cu3Se2]

-3.26001

-3.25997

icsd-649037-10-[Ni3Ti]

-3.25589

-3.25674

icsd-106786-01-[Hg2Pt]

-3.25561

-3.25495

icsd-611176-10-[Fe2P]

-3.2554

-3.2591

icsd-30446-10-[Fe2B]

-3.25508

-3.25622

icsd-167735-01-[Ru2B3]

-3.25418

-3.25342

icsd-59586-10-[Pd5Th3]

-3.24344

-3.24286

icsd-635642-10-[Hg5Mn2]

-3.22591

-3.22677

icsd-105726-10-[Pd5Ti3]

-3.22466

-3.22255

icsd-420250-10-[LiPd2Tl]

-3.22227

-3.22229

icsd-105191-10-[Al3Ti]

-3.22227

-3.22229

icsd-629406-01-[Cu4Ti3]

-3.22205

-3.2222

icsd-69199-10-[U3Si]

-3.22167

-3.22222

icsd-648572-10-[CuInPt2]

-3.22154

-3.22099

icsd-609153-10-[AlPt3]

-3.22154

-3.22201

icsd-181127-01-[Auricupride-AuCu3]

-3.22154

-3.22098

icsd-99787-01-[Fe3Pt]

-3.22154

-3.22152

icsd-103995-10-[Ga3Ti2]

-3.211

-3.211

icsd-185626-01-[Al3Ni2]

-3.20385

-3.20398

icsd-629380-01-[Al3Os2]

-3.20269

-3.20288

icsd-188260-01-[Heusler-AlCu2Mn]

-3.20017

-3.2001

icsd-189695-10-[CuHg2Ti]

-3.20017

-3.2001

icsd-155842-01-[Co5Fe11]

-3.19987

-3.19704

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

-3.19868

-3.19875

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

-3.18963

-3.1892

icsd-16504-10-[CrSi2]

-3.18108

-3.18195

icsd-16606-10-[Nb3Te4]

-3.17751

-3.17852

icsd-639879-01-[In5In4]

-3.16682

-3.16663

icsd-659829-10-[Al2Li3]

-3.16473

-3.16547

icsd-629406-10-[Cu4Ti3]

-3.14678

-3.1448

icsd-639227-10-[Si2U3]

-3.13638

-3.13614

icsd-105948-10-[InNi2]

-3.13613

-3.13679

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

-3.13613

-3.13679

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

-3.13544

-3.13656

icsd-73839-01-[Ni3S2]

-3.12959

-3.1301

icsd-102712-01-[CoU]

-3.12597

-3.12548

icsd-16606-01-[Nb3Te4]

-3.12248

-3.12212

icsd-42428-01-[Fe3Pt]

-3.11695

-3.11621

icsd-108707-01-[HgMn]

-3.11672

-3.11644

icsd-59508-01-[AuCu]

-3.11672

-3.11644

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

-3.11672

-3.11644

icsd-106325-01-[BiIn]

-3.11671

-3.11662

icsd-5258-10-[FeSi2]

-3.11595

-3.11625

icsd-100654-01-[BiSe]

-3.11048

-3.11087

icsd-105636-01-[PbU]

-3.1095

-3.11019

icsd-611457-01-[NbAs]

-3.1095

-3.11019

icsd-618295-01-[MoC1-x]

-3.10926

-3.10894

icsd-639879-10-[In5In4]

-3.10794

-3.10801

icsd-30446-01-[Fe2B]

-3.10666

-3.10712

icsd-650527-01-[CsCl]

-3.10433

-3.10267

icsd-629380-10-[Al3Os2]

-3.10393

-3.10372

icsd-638227-10-[Fluorite-CaF2]

-3.10367

-3.10333

icsd-248490-10-[Pt2Si]

-3.10367

-3.10363

icsd-169457-10-[ZrH2]

-3.10361

-3.10363

icsd-239-10-[Cu3Se2]

-3.09827

-3.09843

icsd-105726-01-[Pd5Ti3]

-3.0976

-3.09884

icsd-635060-01-[Fersilicite-FeSi]

-3.0922

-3.09185

icsd-161109-01-[CoSn]

-3.09073

-3.09101

icsd-652553-10-[AlCr2-MoSi2]

-3.08922

-3.08826

icsd-58607-10-[Au2Ti]

-3.08922

-3.08823

icsd-58471-01-[CuZr2]

-3.08919

-3.08822

icsd-185626-10-[Al3Ni2]

-3.0865

-3.08453

icsd-103995-01-[Ga3Ti2]

-3.08609

-3.08654

icsd-639037-01-[HgIn]

-3.08195

-3.08149

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

-3.08195

-3.08149

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

-3.08195

-3.08149

icsd-240119-01-[AlLi]

-3.08188

-3.08222

icsd-611618-01-[TiAs]

-3.0777

-3.07886

icsd-618702-01-[ScTe]

-3.0777

-3.07886

icsd-626692-01-[Nickeline-NiAs]

-3.07327

-3.07384

icsd-168897-01-[LaI]

-3.07327

-3.07384

icsd-611176-01-[Fe2P]

-3.07063

-3.0689

icsd-169457-01-[ZrH2]

-3.06821

-3.06858

icsd-659829-01-[Al2Li3]

-3.0677

-3.06809

icsd-103775-01-[NaTl]

-3.06535

-3.06413

icsd-659856-01-[LiPt]

-3.06484

-3.06791

icsd-644708-01-[WC]

-3.06481

-3.06791

icsd-42472-01-[CoO]

-3.06424

-3.06397

icsd-181788-01-[NaCl]

-3.06424

-3.06381

icsd-59586-01-[Pd5Th3]

-3.06348

-3.0645

icsd-105948-01-[InNi2]

-3.05948

-3.06056

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

-3.05948

-3.06056

icsd-409859-10-[La2Sb]

-3.05268

-3.05405

icsd-155842-10-[Co5Fe11]

-3.05217

-3.05098

icsd-55492-01-[BaPt]

-3.05167

-3.05253

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

-3.05022

-3.04787

icsd-639227-01-[Si2U3]

-3.04967

-3.05096

icsd-610464-10-[PbClF/Cu2Sb]

-3.04581

-3.04437

icsd-16504-01-[CrSi2]

-3.04226

-3.04245

icsd-5258-01-[FeSi2]

-3.03704

-3.03679

icsd-635208-01-[CoGa3]

-3.03636

-3.03806

icsd-181127-10-[Auricupride-AuCu3]

-3.03434

-3.03422

icsd-69199-01-[U3Si]

-3.03434

-3.03432

icsd-609153-01-[AlPt3]

-3.03434

-3.03433

icsd-99787-10-[Fe3Pt]

-3.03434

-3.03422

icsd-648572-01-[CuInPt2]

-3.03434

-3.03422

icsd-420250-01-[LiPd2Tl]

-3.03431

-3.03365

icsd-105191-01-[Al3Ti]

-3.03431

-3.03365

icsd-643301-01-[Au3Cd]

-3.03235

-3.03475

icsd-416747-01-[Al3Zr]

-3.03234

-3.03475

icsd-640726-10-[CuSmP2]

-3.03234

-3.03475

icsd-649037-01-[Ni3Ti]

-3.03094

-3.02952

icsd-635642-01-[Hg5Mn2]

-3.02795

-3.02582

icsd-260285-01-[UCl3]

-3.02577

-3.02573

icsd-104506-01-[Ni3Sn]

-3.02567

-3.02588

icsd-107998-10-[MoNi4]

-3.0236

-3.02344

icsd-648748-10-[Pd4Se]

-3.01279

-3.01171

icsd-106786-10-[Hg2Pt]

-3.00728

-3.00686

icsd-105521-10-[Al5W]

-3.0028

-3.00347

icsd-42773-10-[IrGe4]

-3.00071

-3.00162

icsd-248490-01-[Pt2Si]

-2.99781

-2.99775

icsd-638227-01-[Fluorite-CaF2]

-2.9978

-2.99719

icsd-97006-10-[InMg2]

-2.99706

-2.99742

icsd-188260-10-[Heusler-AlCu2Mn]

-2.99525

-2.99605

icsd-189695-01-[CuHg2Ti]

-2.99525

-2.99605

icsd-73839-10-[Ni3S2]

-2.98677

-2.9855

icsd-150584-10-[Fe13Ge3]

-2.98554

-2.98312

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

-2.97978

-2.97982

icsd-635208-10-[CoGa3]

-2.97654

-2.97683

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

-2.9667

-2.96545

icsd-167735-10-[Ru2B3]

-2.93838

-2.93678

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

-2.91094

-2.91081

icsd-639148-10-[NiHg4]

-2.88203

-2.88232

icsd-108762-10-[Hg4Pt]

-2.88203

-2.88232

icsd-424636-10-[MnGa4]

-2.88203

-2.88232

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

-2.86113

-2.86083

icsd-58745-01-[Fe6Ge6Mg]

-2.83962

-2.84734

icsd-639148-01-[NiHg4]

-2.78946

-2.78888

icsd-108762-01-[Hg4Pt]

-2.78946

-2.78888

icsd-424636-01-[MnGa4]

-2.78946

-2.78888

icsd-246555-10-[Co2Nd]

-2.7407

-2.7405

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.368

7.5

7.5

7.5

90.0

90.0

90.0

DFT

26.236

7.488

7.488

7.488

90.0

90.0

90.0

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

1

2

3

4

5

6

22.1

44.9

53.8

0.0

0.0

0.0

44.9

20.3

51.9

0.0

0.0

0.0

53.8

51.9

28.6

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

-2.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.28

6.31

6.31

6.172

90.0

90.0

143.65

DFT

24.047

5.243

5.243

6.06

90.0

90.0

120.0

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

1

2

3

4

5

6

75.6

43.5

49.3

0.0

0.0

10.1

43.5

69.2

46.9

0.0

0.0

-12.4

49.3

46.9

83.7

0.0

0.0

-0.9

0.0

0.0

0.0

10.5

1.7

0.0

0.0

0.0

0.0

1.7

6.0

0.0

10.1

-12.4

-0.9

0.0

0.0

21.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.041

3.38

3.38

5.264

90.0

90.0

120.0

DFT

26.031

3.347

3.347

5.367

90.0

90.0

120.0

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

1

2

3

4

5

6

54.0

41.7

39.8

0.0

0.0

0.0

41.7

54.0

39.8

0.0

0.0

0.0

39.8

39.8

76.8

0.0

0.0

0.0

0.0

0.0

0.0

6.9

0.0

0.0

0.0

0.0

0.0

0.0

6.9

0.0

0.0

0.0

0.0

0.0

0.0

6.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.52

7.907

7.907

3.602

90.0

90.0

90.0

DFT

22.65

7.882

7.882

3.646

90.0

90.0

90.0

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

1

2

3

4

5

6

86.3

44.6

51.3

0.0

0.0

0.3

44.6

86.3

51.3

0.0

0.0

-0.3

51.3

51.3

65.8

0.0

0.0

0.0

0.0

0.0

0.0

22.0

0.0

0.0

0.0

0.0

0.0

0.0

22.0

0.0

0.3

-0.3

0.0

0.0

0.0

11.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.878

4.877

4.877

9.713

90.0

90.0

90.0

DFT

28.92

4.877

4.877

9.727

90.0

90.0

90.0

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

1

2

3

4

5

6

46.4

48.5

41.7

0.0

0.0

0.0

48.5

46.4

41.7

0.0

0.0

0.0

41.7

41.7

57.4

0.0

0.0

0.0

0.0

0.0

0.0

13.7

0.0

0.0

0.0

0.0

0.0

0.0

13.7

0.0

0.0

0.0

0.0

0.0

0.0

17.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.846

3.725

3.725

3.725

90.0

90.0

90.0

DFT

25.64

3.715

3.715

3.715

90.0

90.0

90.0

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

1

2

3

4

5

6

46.1

60.1

60.1

0.0

0.0

0.0

60.1

46.1

60.1

0.0

0.0

0.0

60.1

60.1

46.1

0.0

0.0

0.0

0.0

0.0

0.0

21.0

0.0

0.0

0.0

0.0

0.0

0.0

21.0

0.0

0.0

0.0

0.0

0.0

0.0

21.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.991

4.514

4.514

4.514

90.0

90.0

90.0

DFT

23.022

4.516

4.516

4.516

90.0

90.0

90.0

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

1

2

3

4

5

6

60.8

54.5

54.5

0.0

0.0

0.0

54.5

60.8

54.5

0.0

0.0

0.0

54.5

54.5

60.8

0.0

0.0

0.0

0.0

0.0

0.0

17.2

0.0

0.0

0.0

0.0

0.0

0.0

17.2

0.0

0.0

0.0

0.0

0.0

0.0

17.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.896

4.395

4.395

7.733

90.0

90.0

90.0

DFT

24.959

4.47

4.47

7.494

90.0

90.0

90.0

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

1

2

3

4

5

6

38.8

39.6

38.6

0.0

0.0

0.0

39.6

38.8

38.6

0.0

0.0

0.0

38.6

38.6

55.6

0.0

0.0

0.0

0.0

0.0

0.0

11.8

0.0

0.0

0.0

0.0

0.0

0.0

11.8

0.0

0.0

0.0

0.0

0.0

0.0

14.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.945

4.875

4.875

19.49

90.0

90.0

90.0

DFT

28.883

4.884

4.884

19.374

90.0

90.0

90.0

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

1

2

3

4

5

6

45.2

45.5

41.4

0.0

0.0

0.0

45.5

45.2

41.4

0.0

0.0

0.0

41.4

41.4

49.3

0.0

0.0

0.0

0.0

0.0

0.0

14.4

0.0

0.0

0.0

0.0

0.0

0.0

14.4

0.0

0.0

0.0

0.0

0.0

0.0

16.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.287

5.947

5.947

5.947

90.0

90.0

90.0

DFT

26.172

5.938

5.938

5.938

90.0

90.0

90.0

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

1

2

3

4

5

6

36.3

58.0

58.0

0.0

0.0

0.0

58.0

36.3

58.0

0.0

0.0

0.0

58.0

58.0

36.3

0.0

0.0

0.0

0.0

0.0

0.0

-153377.6

-516.2

28130.4

0.0

0.0

0.0

-516.2

-153377.9

0.0

0.0

0.0

0.0

28130.4

0.0

-153377.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.847

8.202

8.202

3.991

90.0

90.0

90.0

DFT

26.819

8.219

8.219

3.97

90.0

90.0

90.0

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

1

2

3

4

5

6

30.7

75.7

37.3

0.0

0.0

0.0

75.7

18.7

28.9

0.0

0.0

0.0

37.3

28.9

41.7

0.0

0.0

0.0

0.0

0.0

0.0

7.7

0.0

0.0

0.0

0.0

0.0

0.0

7.7

0.0

0.0

0.0

0.0

0.0

0.0

13.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.227

7.288

7.935

4.452

90.0

90.0

133.79

DFT

23.358

6.583

6.583

4.979

90.0

90.0

120.0

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

1

2

3

4

5

6

65.1

52.6

56.8

0.0

0.0

-1.0

52.6

86.4

61.7

0.0

0.0

6.8

56.8

61.7

66.9

0.0

0.0

-2.9

0.0

0.0

0.0

9.7

-4.8

0.0

0.0

0.0

0.0

-4.8

22.2

0.0

-1.0

6.8

-2.9

0.0

0.0

12.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.805

3.511

15.714

9.072

90.0

90.0

90.0

DFT

27.927

3.526

15.7

9.08

90.0

90.0

90.0

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

1

2

3

4

5

6

57.4

47.2

47.2

0.0

0.0

0.0

47.2

58.7

51.9

0.0

0.0

0.0

47.2

51.9

58.7

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

13.9

0.0

0.0

0.0

0.0

0.0

0.0

13.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.957

4.646

4.646

8.049

90.0

90.0

90.0

DFT

29.121

4.679

4.679

7.982

90.0

90.0

90.0

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

1

2

3

4

5

6

50.8

48.7

47.1

0.0

0.0

0.0

48.7

50.8

47.1

0.0

0.0

0.0

47.1

47.1

72.3

0.0

0.0

0.0

0.0

0.0

0.0

-12.1

0.0

0.0

0.0

0.0

0.0

0.0

-12.1

0.0

0.0

0.0

0.0

0.0

0.0

24.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.066

6.895

6.895

5.648

90.0

90.0

120.0

DFT

28.793

6.841

6.841

5.683

90.0

90.0

120.0

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

1

2

3

4

5

6

59.3

47.8

40.8

0.0

0.0

0.2

47.8

59.3

40.8

0.0

0.0

0.0

40.8

40.8

49.8

0.0

0.0

0.0

0.0

0.0

0.0

-2.8

0.0

0.0

0.0

0.0

0.0

0.0

-2.8

0.0

0.2

0.0

0.0

0.0

0.0

5.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.979

6.895

6.895

11.261

90.0

90.0

120.0

DFT

28.97

6.879

6.879

11.312

90.0

90.0

120.0

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

1

2

3

4

5

6

59.6

44.3

36.7

0.0

0.0

0.0

44.3

59.6

36.7

0.0

0.0

0.0

36.7

36.7

66.9

0.0

0.0

0.0

0.0

0.0

0.0

4.9

0.0

0.0

0.0

0.0

0.0

0.0

4.9

0.0

0.0

0.0

0.0

0.0

0.0

7.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.34

3.669

10.874

10.98

90.0

90.0

90.0

DFT

24.593

3.663

11.076

10.911

90.0

90.0

90.0

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

1

2

3

4

5

6

63.3

48.9

48.1

0.0

0.0

0.0

48.9

59.2

47.6

0.0

0.0

0.0

48.1

47.6

73.5

0.0

0.0

0.0

0.0

0.0

0.0

11.5

0.0

0.0

0.0

0.0

0.0

0.0

6.0

0.0

0.0

0.0

0.0

0.0

0.0

21.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.561

8.837

8.837

3.785

90.0

90.0

90.0

DFT

29.512

7.877

7.877

4.756

90.0

90.0

90.0

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

1

2

3

4

5

6

57.2

37.1

42.7

0.0

0.0

8.3

37.1

57.2

42.7

0.0

0.0

-8.3

42.7

42.7

42.7

0.0

0.0

0.0

0.0

0.0

0.0

15.9

0.0

0.0

0.0

0.0

0.0

0.0

15.9

0.0

8.3

-8.3

0.0

0.0

0.0

8.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.451

5.93

5.93

9.24

90.0

90.0

120.0

DFT

23.607

5.92

5.92

9.333

90.0

90.0

120.0

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

1

2

3

4

5

6

90.2

63.5

60.7

0.0

0.0

0.0

63.5

90.2

60.7

0.0

0.0

0.0

60.7

60.7

97.9

0.0

0.0

0.0

0.0

0.0

0.0

12.5

0.0

0.0

0.0

0.0

0.0

0.0

12.5

0.0

0.0

0.0

0.0

0.0

0.0

13.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.169

5.851

5.851

8.552

90.0

90.0

120.0

DFT

28.116

5.854

5.854

8.527

90.0

90.0

120.0

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

1

2

3

4

5

6

63.4

51.1

36.1

0.0

0.0

0.0

51.1

63.4

36.1

0.0

0.0

0.0

36.1

36.1

71.4

0.0

0.0

0.0

0.0

0.0

0.0

-3.5

0.0

0.0

0.0

0.0

0.0

0.0

-3.6

0.0

0.0

0.0

0.0

0.0

0.0

6.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.105

7.751

7.751

7.751

90.0

90.0

90.0

DFT

28.775

7.722

7.722

7.722

90.0

90.0

90.0

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

1

2

3

4

5

6

38.9

52.4

52.4

0.0

0.0

0.0

52.4

38.9

52.4

0.0

0.0

0.0

52.4

52.4

38.9

0.0

0.0

0.0

0.0

0.0

0.0

11.8

0.0

0.0

0.0

0.0

0.0

0.0

11.8

0.0

0.0

0.0

0.0

0.0

0.0

11.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.911

5.393

5.393

6.648

90.0

90.0

120.0

DFT

27.806

5.412

5.412

6.577

90.0

90.0

120.0

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

1

2

3

4

5

6

52.0

47.8

34.9

0.0

0.0

0.0

47.8

52.0

34.9

0.0

0.0

0.0

34.9

34.9

72.5

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

2.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.898

4.871

4.871

4.871

90.0

90.0

90.0

DFT

28.866

4.869

4.869

4.869

90.0

90.0

90.0

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

1

2

3

4

5

6

48.4

41.1

41.1

0.0

0.0

0.0

41.1

48.4

41.1

0.0

0.0

0.0

41.1

41.1

48.4

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 (NiAs(B81)(x=0.50))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.125

3.386

3.386

10.524

90.0

90.0

120.0

DFT

26.154

3.394

3.394

10.488

90.0

90.0

120.0

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

1

2

3

4

5

6

55.3

42.5

35.7

0.0

0.0

0.0

42.5

55.3

35.7

0.0

0.0

0.0

35.7

35.7

74.7

0.0

0.0

0.0

0.0

0.0

0.0

9.0

0.0

0.0

0.0

0.0

0.0

0.0

9.0

0.0

0.0

0.0

0.0

0.0

0.0

6.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.893

4.513

4.513

8.992

90.0

90.0

90.0

DFT

22.943

4.474

4.474

9.171

90.0

90.0

90.0

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

1

2

3

4

5

6

56.9

72.6

59.2

0.0

0.0

0.0

72.6

56.9

59.2

0.0

0.0

0.0

59.2

59.2

60.2

0.0

0.0

0.0

0.0

0.0

0.0

-36.6

0.0

0.0

0.0

0.0

0.0

0.0

-36.6

0.0

0.0

0.0

0.0

0.0

0.0

17.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.866

7.976

7.976

4.38

90.0

90.0

90.0

DFT

27.768

7.96

7.96

4.383

90.0

90.0

90.0

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

1

2

3

4

5

6

56.4

45.0

46.3

0.0

0.0

0.0

45.0

56.4

46.3

0.0

0.0

0.0

46.3

46.3

62.0

0.0

0.0

0.0

0.0

0.0

0.0

18.2

0.0

0.0

0.0

0.0

0.0

0.0

18.2

0.0

0.0

0.0

0.0

0.0

0.0

10.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.497

7.737

7.737

7.06

90.0

90.0

120.0

DFT

32.86

6.442

6.442

10.972

90.0

90.0

120.0

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

1

2

3

4

5

6

42.4

38.6

42.7

0.0

0.0

0.0

38.6

42.4

42.7

0.0

0.0

0.0

42.7

42.7

58.2

0.0

0.0

0.0

0.0

0.0

0.0

11.5

0.0

0.0

0.0

0.0

0.0

0.0

11.5

0.0

0.0

0.0

0.0

0.0

0.0

1.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.021

6.107

4.007

9.868

83.13

94.63

109.91

DFT

24.22

5.638

5.638

7.919

90.0

90.0

120.0

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

1

2

3

4

5

6

65.9

39.3

36.7

-3.1

1.0

-0.2

39.3

65.7

43.7

1.5

-0.9

3.9

36.7

43.7

51.4

-3.0

-3.4

2.8

-3.1

1.5

-3.0

8.3

-0.4

1.3

1.0

-0.9

-3.4

-0.4

5.9

-1.9

-0.2

3.9

2.8

1.3

-1.9

12.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.146

7.479

7.479

7.479

90.0

90.0

90.0

DFT

25.823

7.448

7.448

7.448

90.0

90.0

90.0

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

1

2

3

4

5

6

32.0

47.0

47.0

0.0

0.0

0.0

47.0

32.0

47.0

0.0

0.0

0.0

47.0

47.0

32.0

0.0

0.0

0.0

0.0

0.0

0.0

-20.9

0.0

0.0

0.0

0.0

0.0

0.0

-20.9

0.0

0.0

0.0

0.0

0.0

0.0

-20.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.245

6.521

6.521

10.098

90.0

90.0

120.0

DFT

23.247

6.518

6.518

10.111

90.0

90.0

120.0

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

1

2

3

4

5

6

50.0

43.9

52.3

0.0

0.0

-0.1

43.9

50.9

52.7

0.0

0.0

0.0

52.3

52.7

97.3

0.0

0.0

0.0

0.0

0.0

0.0

14.3

0.0

0.0

0.0

0.0

0.0

0.0

14.3

0.0

-0.1

0.0

0.0

0.0

0.0

3.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.045

4.055

4.055

23.396

90.0

90.0

90.0

DFT

24.001

4.069

4.069

23.191

90.0

90.0

90.0

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

1

2

3

4

5

6

58.9

46.4

36.7

0.0

0.0

0.0

46.4

58.9

36.7

0.0

0.0

0.0

36.7

36.7

48.5

0.0

0.0

0.0

0.0

0.0

0.0

15.6

0.0

0.0

0.0

0.0

0.0

0.0

15.6

0.0

0.0

0.0

0.0

0.0

0.0

23.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.8

3.412

3.412

4.431

90.0

90.0

90.0

DFT

25.877

3.473

3.473

4.29

90.0

90.0

90.0

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

1

2

3

4

5

6

60.0

46.0

48.0

0.0

0.0

0.0

46.0

60.0

48.0

0.0

0.0

0.0

48.0

48.0

48.9

0.0

0.0

0.0

0.0

0.0

0.0

20.8

0.0

0.0

0.0

0.0

0.0

0.0

20.8

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

22.857

7.151

7.151

7.151

90.0

90.0

90.0

DFT

22.704

7.135

7.135

7.135

90.0

90.0

90.0

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

1

2

3

4

5

6

36.4

54.0

54.0

0.0

0.0

0.0

54.0

36.4

54.0

0.0

0.0

0.0

54.0

54.0

36.4

0.0

0.0

0.0

0.0

0.0

0.0

4.7

0.0

0.0

0.0

0.0

0.0

0.0

4.7

0.0

0.0

0.0

0.0

0.0

0.0

4.7