gtinv-203 (K-Pb-2022-07-25)

Energy distribution

../../../../_images/distribution479.png

Convex hull (formation energy)

../../../../_images/convex479.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

K

0.3333

-0.102

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

0.6667

-0.1708

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

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-sep479.png

Prototype structure energy

../../../../_images/icsd-pred479.png

Phonon density of states

../../../../_images/dos479.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-01-[Fe6Ge6Mg]

-2.8165

-2.81598

icsd-97006-10-[InMg2]

-2.74763

-2.74783

icsd-105521-10-[Al5W]

-2.65819

-2.65877

icsd-107998-10-[MoNi4]

-2.63119

-2.63131

icsd-150584-10-[Fe13Ge3]

-2.61759

-2.61938

icsd-167735-10-[Ru2B3]

-2.544

-2.54322

icsd-104506-01-[Ni3Sn]

-2.54107

-2.54067

icsd-260285-01-[UCl3]

-2.54103

-2.54076

icsd-42773-10-[IrGe4]

-2.53296

-2.5319

icsd-649037-01-[Ni3Ti]

-2.52608

-2.52606

icsd-643301-01-[Au3Cd]

-2.50196

-2.50218

icsd-640726-10-[CuSmP2]

-2.50196

-2.50218

icsd-416747-01-[Al3Zr]

-2.50196

-2.50218

icsd-420250-01-[LiPd2Tl]

-2.50038

-2.5004

icsd-105191-01-[Al3Ti]

-2.50038

-2.5004

icsd-181127-10-[Auricupride-AuCu3]

-2.49609

-2.4958

icsd-99787-10-[Fe3Pt]

-2.49609

-2.4958

icsd-648572-01-[CuInPt2]

-2.49609

-2.4958

icsd-609153-01-[AlPt3]

-2.49609

-2.49603

icsd-69199-01-[U3Si]

-2.49609

-2.49603

icsd-648748-10-[Pd4Se]

-2.4699

-2.47108

icsd-188260-10-[Heusler-AlCu2Mn]

-2.46443

-2.46433

icsd-189695-01-[CuHg2Ti]

-2.46443

-2.46433

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

-2.45225

-2.4524

icsd-246555-10-[Co2Nd]

-2.44177

-2.44176

icsd-610464-10-[PbClF/Cu2Sb]

-2.4285

-2.42868

icsd-58607-10-[Au2Ti]

-2.38802

-2.3878

icsd-652553-10-[AlCr2-MoSi2]

-2.38802

-2.3878

icsd-58471-01-[CuZr2]

-2.38802

-2.38779

icsd-155842-10-[Co5Fe11]

-2.36974

-2.37073

icsd-409859-10-[La2Sb]

-2.34409

-2.34421

icsd-611176-01-[Fe2P]

-2.32913

-2.33023

icsd-635642-01-[Hg5Mn2]

-2.32156

-2.32209

icsd-59586-01-[Pd5Th3]

-2.29223

-2.29256

icsd-105726-01-[Pd5Ti3]

-2.2743

-2.2744

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

-2.27207

-2.27201

icsd-239-10-[Cu3Se2]

-2.26909

-2.26914

icsd-16504-01-[CrSi2]

-2.26466

-2.26452

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

-2.25098

-2.2509

icsd-106786-10-[Hg2Pt]

-2.24461

-2.24473

icsd-5258-01-[FeSi2]

-2.23867

-2.23943

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

-2.23843

-2.23826

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

-2.22774

-2.2276

icsd-105948-01-[InNi2]

-2.22774

-2.2276

icsd-629380-10-[Al3Os2]

-2.20934

-2.20824

icsd-103995-01-[Ga3Ti2]

-2.18116

-2.18095

icsd-659829-01-[Al2Li3]

-2.17851

-2.17874

icsd-629406-10-[Cu4Ti3]

-2.15769

-2.15782

icsd-635208-10-[CoGa3]

-2.1536

-2.15368

icsd-639879-10-[In5In4]

-2.12245

-2.1226

icsd-16606-01-[Nb3Te4]

-2.11118

-2.11052

icsd-30446-01-[Fe2B]

-2.10572

-2.10573

icsd-73839-10-[Ni3S2]

-2.10544

-2.10569

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

-2.04336

-2.04319

icsd-103775-01-[NaTl]

-2.03603

-2.03583

icsd-240119-01-[AlLi]

-2.03603

-2.03598

icsd-611457-01-[NbAs]

-2.03586

-2.03584

icsd-105636-01-[PbU]

-2.03585

-2.03584

icsd-639148-10-[NiHg4]

-2.03379

-2.03374

icsd-108762-10-[Hg4Pt]

-2.03379

-2.03374

icsd-424636-10-[MnGa4]

-2.03379

-2.03374

icsd-102712-01-[CoU]

-2.03334

-2.03332

icsd-55492-01-[BaPt]

-1.98129

-1.98122

icsd-618295-01-[MoC1-x]

-1.97658

-1.97611

icsd-639227-10-[Si2U3]

-1.95669

-1.95755

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

-1.94694

-1.94664

icsd-108707-01-[HgMn]

-1.94694

-1.94664

icsd-59508-01-[AuCu]

-1.94694

-1.94664

icsd-106325-01-[BiIn]

-1.94694

-1.94635

icsd-42428-01-[Fe3Pt]

-1.94693

-1.94666

icsd-639879-01-[In5In4]

-1.90359

-1.90358

icsd-169457-10-[ZrH2]

-1.89666

-1.89582

icsd-248490-10-[Pt2Si]

-1.89665

-1.89586

icsd-638227-10-[Fluorite-CaF2]

-1.89665

-1.89551

icsd-650527-01-[CsCl]

-1.89419

-1.89364

icsd-100654-01-[BiSe]

-1.88387

-1.88373

icsd-185626-10-[Al3Ni2]

-1.87943

-1.87907

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

-1.87686

-1.87682

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

-1.87686

-1.87682

icsd-639037-01-[HgIn]

-1.87686

-1.87682

icsd-611618-01-[TiAs]

-1.87642

-1.87622

icsd-618702-01-[ScTe]

-1.87642

-1.87622

icsd-168897-01-[LaI]

-1.87602

-1.87568

icsd-626692-01-[Nickeline-NiAs]

-1.87602

-1.87568

icsd-659856-01-[LiPt]

-1.87431

-1.87399

icsd-644708-01-[WC]

-1.87431

-1.87399

icsd-16606-10-[Nb3Te4]

-1.85219

-1.85159

icsd-635060-01-[Fersilicite-FeSi]

-1.84764

-1.84714

icsd-629406-01-[Cu4Ti3]

-1.81798

-1.81758

icsd-659829-10-[Al2Li3]

-1.79465

-1.79378

icsd-639227-01-[Si2U3]

-1.78441

-1.78432

icsd-185626-01-[Al3Ni2]

-1.76418

-1.76368

icsd-103995-10-[Ga3Ti2]

-1.76363

-1.76381

icsd-239-01-[Cu3Se2]

-1.75112

-1.75101

icsd-629380-01-[Al3Os2]

-1.74602

-1.74595

icsd-59586-10-[Pd5Th3]

-1.69676

-1.69622

icsd-105726-10-[Pd5Ti3]

-1.69328

-1.69284

icsd-30446-10-[Fe2B]

-1.63626

-1.63598

icsd-73839-01-[Ni3S2]

-1.59899

-1.59877

icsd-611176-10-[Fe2P]

-1.59498

-1.59473

icsd-58607-01-[Au2Ti]

-1.59494

-1.59486

icsd-58471-10-[CuZr2]

-1.59493

-1.59484

icsd-652553-01-[AlCr2-MoSi2]

-1.59489

-1.5948

icsd-5258-10-[FeSi2]

-1.57723

-1.57718

icsd-106786-01-[Hg2Pt]

-1.57636

-1.57781

icsd-16504-10-[CrSi2]

-1.56431

-1.56431

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

-1.54504

-1.54524

icsd-105948-10-[InNi2]

-1.54503

-1.54524

icsd-181788-01-[NaCl]

-1.52466

-1.52472

icsd-42472-01-[CoO]

-1.52466

-1.52473

icsd-155842-01-[Co5Fe11]

-1.51935

-1.51803

icsd-610464-01-[PbClF/Cu2Sb]

-1.50981

-1.50949

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

-1.50496

-1.50495

icsd-409859-01-[La2Sb]

-1.50389

-1.50413

icsd-635642-10-[Hg5Mn2]

-1.49228

-1.49302

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

-1.48398

-1.48388

icsd-161109-01-[CoSn]

-1.47779

-1.47779

icsd-635208-01-[CoGa3]

-1.46748

-1.46413

icsd-638227-01-[Fluorite-CaF2]

-1.43831

-1.43803

icsd-248490-01-[Pt2Si]

-1.43831

-1.43803

icsd-169457-01-[ZrH2]

-1.4383

-1.43802

icsd-105191-10-[Al3Ti]

-1.43125

-1.43117

icsd-420250-10-[LiPd2Tl]

-1.43125

-1.43117

icsd-189695-10-[CuHg2Ti]

-1.42475

-1.42358

icsd-188260-01-[Heusler-AlCu2Mn]

-1.42475

-1.42358

icsd-104506-10-[Ni3Sn]

-1.40761

-1.40703

icsd-260285-10-[UCl3]

-1.40761

-1.40703

icsd-416747-10-[Al3Zr]

-1.40514

-1.40469

icsd-640726-01-[CuSmP2]

-1.40513

-1.40469

icsd-643301-10-[Au3Cd]

-1.40485

-1.40473

icsd-649037-10-[Ni3Ti]

-1.39587

-1.39564

icsd-181127-01-[Auricupride-AuCu3]

-1.37834

-1.37815

icsd-648572-10-[CuInPt2]

-1.37834

-1.37814

icsd-609153-10-[AlPt3]

-1.37833

-1.37818

icsd-99787-01-[Fe3Pt]

-1.37833

-1.37815

icsd-69199-10-[U3Si]

-1.3782

-1.37801

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

-1.37261

-1.37263

icsd-246555-01-[Co2Nd]

-1.36218

-1.36226

icsd-648748-01-[Pd4Se]

-1.35337

-1.3533

icsd-107998-01-[MoNi4]

-1.32637

-1.32652

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

-1.32152

-1.32136

icsd-42773-01-[IrGe4]

-1.31605

-1.32369

icsd-639148-01-[NiHg4]

-1.31201

-1.31168

icsd-108762-01-[Hg4Pt]

-1.31201

-1.31168

icsd-424636-01-[MnGa4]

-1.31201

-1.31168

icsd-150584-01-[Fe13Ge3]

-1.27658

-1.27805

icsd-167735-01-[Ru2B3]

-1.2343

-1.23518

icsd-105521-01-[Al5W]

-1.21146

-1.21124

icsd-97006-01-[InMg2]

-1.11659

-1.11666

icsd-58745-10-[Fe6Ge6Mg]

-0.90018

-0.90118

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

37.462

8.432

8.432

8.432

90.0

90.0

90.0

DFT

37.251

8.416

8.416

8.416

90.0

90.0

90.0

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

1

2

3

4

5

6

31.4

9.6

9.6

0.0

0.0

0.0

9.6

31.4

9.6

0.0

0.0

0.0

9.6

9.6

31.4

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

9.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

50.01

6.889

6.457

7.331

89.87

78.37

109.59

DFT

45.154

6.401

6.401

7.635

90.0

90.0

120.0

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

1

2

3

4

5

6

22.8

9.7

7.3

2.1

-1.1

-2.2

9.7

19.0

4.2

-0.2

-2.4

-5.8

7.3

4.2

18.8

0.6

-1.6

1.1

2.1

-0.2

0.6

2.4

0.3

-0.1

-1.1

-2.4

-1.6

0.3

4.5

1.6

-2.2

-5.8

1.1

-0.1

1.6

4.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.831

3.56

3.56

5.812

90.0

90.0

90.0

DFT

37.936

3.776

3.776

6.144

90.0

90.0

120.0

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

1

2

3

4

5

6

21.6

10.6

10.0

0.0

0.0

0.0

10.6

21.6

10.0

0.0

0.0

0.0

10.0

10.0

47.3

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

6.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

51.816

9.835

8.24

6.48

90.0

90.0

80.7

DFT

50.139

8.938

8.938

6.276

90.0

90.0

90.0

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

1

2

3

4

5

6

12.7

9.7

6.6

0.0

0.0

0.1

9.7

17.7

7.5

0.0

0.0

1.9

6.6

7.5

14.4

0.0

0.0

-2.5

0.0

0.0

0.0

2.1

-1.5

0.0

0.0

0.0

0.0

-1.5

1.1

0.0

0.1

1.9

-2.5

0.0

0.0

4.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.239

5.117

5.117

10.155

90.0

90.0

90.0

DFT

33.237

5.101

5.101

10.22

90.0

90.0

90.0

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

1

2

3

4

5

6

36.3

28.8

20.8

0.0

0.0

0.0

28.8

36.3

20.8

0.0

0.0

0.0

20.8

20.8

48.2

0.0

0.0

0.0

0.0

0.0

0.0

13.8

0.0

0.0

0.0

0.0

0.0

0.0

13.8

0.0

0.0

0.0

0.0

0.0

0.0

16.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.79

4.265

4.265

4.265

90.0

90.0

90.0

DFT

38.022

4.237

4.237

4.237

90.0

90.0

90.0

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

1

2

3

4

5

6

7.8

9.4

9.4

0.0

0.0

0.0

9.4

7.8

9.4

0.0

0.0

0.0

9.4

9.4

7.8

0.0

0.0

0.0

0.0

0.0

0.0

21.4

0.0

0.0

0.0

0.0

0.0

0.0

21.4

0.0

0.0

0.0

0.0

0.0

0.0

21.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

48.568

5.792

5.792

5.792

90.0

90.0

90.0

DFT

48.107

5.773

5.773

5.773

90.0

90.0

90.0

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

1

2

3

4

5

6

12.9

6.3

6.3

0.0

0.0

0.0

6.3

12.9

6.3

0.0

0.0

0.0

6.3

6.3

12.9

0.0

0.0

0.0

0.0

0.0

0.0

5.9

0.0

0.0

0.0

0.0

0.0

0.0

5.9

0.0

0.0

0.0

0.0

0.0

0.0

5.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.247

3.796

6.227

10.725

90.0

90.0

90.0

DFT

47.912

5.182

5.182

10.704

90.0

90.0

90.0

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

1

2

3

4

5

6

12.0

2.5

3.6

0.0

0.0

0.0

2.5

23.0

12.2

0.0

0.0

0.0

3.6

12.2

30.6

0.0

0.0

0.0

0.0

0.0

0.0

5.8

0.0

0.0

0.0

0.0

0.0

0.0

-29.6

0.0

0.0

0.0

0.0

0.0

0.0

1.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.409

5.135

5.135

20.273

90.0

90.0

90.0

DFT

33.197

5.115

5.115

20.303

90.0

90.0

90.0

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

1

2

3

4

5

6

34.2

20.2

17.4

0.0

0.0

0.0

20.2

34.2

17.4

0.0

0.0

0.0

17.4

17.4

35.5

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

18.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

39.864

6.832

6.832

6.832

90.0

90.0

90.0

DFT

39.804

6.829

6.829

6.829

90.0

90.0

90.0

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

1

2

3

4

5

6

20576.0

-48206.8

-16666.0

-6719.9

-75075.1

-5506.0

-48206.8

11188.1

8.4

1214.6

14416.7

13204.6

-16666.0

8.4

42749.7

14418.4

13203.6

-1214.8

-6719.9

1214.6

14418.4

-269485.4

0.0

0.0

-75075.1

14416.7

13203.6

0.0

-269485.4

0.0

-5506.0

13204.6

-1214.8

0.0

0.0

-269485.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

43.736

10.109

10.109

4.28

90.0

90.0

90.0

DFT

43.931

10.193

10.193

4.228

90.0

90.0

90.0

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

1

2

3

4

5

6

15.1

11.4

10.3

0.0

0.0

0.0

11.4

15.1

10.3

0.0

0.0

0.0

10.3

10.3

26.9

0.0

0.0

0.0

0.0

0.0

0.0

9.5

0.0

0.0

0.0

0.0

0.0

0.0

9.5

0.0

0.0

0.0

0.0

0.0

0.0

12.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

53.081

8.953

8.953

6.118

90.0

90.0

120.0

DFT

48.751

8.256

8.256

6.607

90.0

90.0

120.0

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

1

2

3

4

5

6

15.3

10.4

9.4

0.0

0.0

0.0

10.4

15.3

9.4

0.0

0.0

0.0

9.4

9.4

18.2

0.0

0.0

0.0

0.0

0.0

0.0

5.7

0.0

0.0

0.0

0.0

0.0

0.0

5.7

0.0

0.0

0.0

0.0

0.0

0.0

2.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.825

3.758

18.679

10.229

96.65

100.59

84.23

DFT

38.242

3.932

18.73

9.348

90.0

90.0

90.0

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

1

2

3

4

5

6

46.2

11.4

15.7

5.0

0.0

0.0

11.4

28.5

6.5

0.6

0.0

0.0

15.7

6.5

25.5

4.1

0.0

0.0

5.0

0.6

4.1

8.3

0.0

0.0

0.0

0.0

0.0

0.0

1.5

2.0

0.0

0.0

0.0

0.0

2.0

10.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

40.152

5.33

5.33

8.479

90.0

90.0

90.0

DFT

40.08

5.343

5.343

8.425

90.0

90.0

90.0

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

1

2

3

4

5

6

27.0

14.4

14.6

0.0

0.0

0.0

14.4

27.0

14.6

0.0

0.0

0.0

14.6

14.6

33.0

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

6.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.817

7.219

8.71

5.713

90.0

90.0

127.1

DFT

35.653

7.527

7.527

5.813

90.0

90.0

120.0

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

1

2

3

4

5

6

37.8

19.8

15.4

0.0

0.0

-0.5

19.8

39.2

13.9

0.0

0.0

-1.8

15.4

13.9

58.7

0.0

0.0

2.6

0.0

0.0

0.0

14.2

0.1

0.0

0.0

0.0

0.0

0.1

14.3

0.0

-0.5

-1.8

2.6

0.0

0.0

11.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.862

7.375

7.375

11.503

90.0

90.0

120.0

DFT

34.19

7.389

7.389

11.57

90.0

90.0

120.0

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

1

2

3

4

5

6

36.1

18.1

19.4

0.0

0.0

0.0

18.1

36.1

19.4

0.0

0.0

0.0

19.4

19.4

57.3

0.0

0.0

0.0

0.0

0.0

0.0

14.1

0.0

0.0

0.0

0.0

0.0

0.0

14.1

0.0

0.0

0.0

0.0

0.0

0.0

9.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.447

10.699

10.699

3.854

90.0

90.0

120.0

DFT

43.245

10.878

10.878

3.798

90.0

90.0

120.0

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

1

2

3

4

5

6

24.6

12.8

8.3

0.0

0.0

0.0

12.8

24.6

8.3

0.0

0.0

0.0

8.3

8.3

14.6

0.0

0.0

0.0

0.0

0.0

0.0

1.8

0.0

0.0

0.0

0.0

0.0

0.0

1.8

0.0

0.0

0.0

0.0

0.0

0.0

5.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.77

9.016

9.016

4.401

90.0

90.0

90.0

DFT

35.705

8.98

8.98

4.428

90.0

90.0

90.0

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

1

2

3

4

5

6

30.8

7.7

16.8

0.0

0.0

3.8

7.7

30.8

16.8

0.0

0.0

-3.8

16.8

16.8

40.2

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

3.8

-3.8

0.0

0.0

0.0

3.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

50.794

6.358

11.009

10.052

114.06

90.0

106.78

DFT

44.602

7.189

7.189

11.959

90.0

90.0

120.0

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

1

2

3

4

5

6

21.8

9.6

9.9

-1.0

0.0

0.0

9.6

14.2

11.5

1.2

0.0

0.0

9.9

11.5

22.7

-3.7

0.0

0.0

-1.0

1.2

-3.7

4.7

0.0

0.0

0.0

0.0

0.0

0.0

1.3

0.0

0.0

0.0

0.0

0.0

0.0

4.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.373

7.039

7.061

10.074

83.13

90.24

135.61

DFT

35.64

6.207

6.207

9.613

90.0

90.0

120.0

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

1

2

3

4

5

6

28.6

18.0

14.3

0.6

1.5

2.2

18.0

31.0

17.8

-1.1

-1.0

-3.1

14.3

17.8

26.2

-4.1

2.0

1.5

0.6

-1.1

-4.1

5.7

1.2

-1.7

1.5

-1.0

2.0

1.2

4.8

-0.1

2.2

-3.1

1.5

-1.7

-0.1

7.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.706

8.14

8.14

8.14

90.0

90.0

90.0

DFT

33.642

8.135

8.135

8.135

90.0

90.0

90.0

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

1

2

3

4

5

6

23.3

28.2

28.2

0.0

0.0

0.0

28.2

23.3

28.2

0.0

0.0

0.0

28.2

28.2

23.3

0.0

0.0

0.0

0.0

0.0

0.0

15.7

0.0

0.0

0.0

0.0

0.0

0.0

15.7

0.0

0.0

0.0

0.0

0.0

0.0

15.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.987

7.666

4.388

7.257

90.0

90.0

106.63

DFT

34.541

5.822

5.822

7.061

90.0

90.0

120.0

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

1

2

3

4

5

6

25.3

13.6

15.8

0.0

0.0

0.8

13.6

29.7

19.5

0.0

0.0

-2.3

15.8

19.5

42.2

0.0

0.0

-1.2

0.0

0.0

0.0

8.6

-1.8

0.0

0.0

0.0

0.0

-1.8

3.0

0.0

0.8

-2.3

-1.2

0.0

0.0

5.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.106

5.097

5.097

5.097

90.0

90.0

90.0

DFT

33.095

5.097

5.097

5.097

90.0

90.0

90.0

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

1

2

3

4

5

6

39.2

16.2

16.2

0.0

0.0

0.0

16.2

39.2

16.2

0.0

0.0

0.0

16.2

16.2

39.2

0.0

0.0

0.0

0.0

0.0

0.0

16.4

0.0

0.0

0.0

0.0

0.0

0.0

16.4

0.0

0.0

0.0

0.0

0.0

0.0

16.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.831

3.56

3.56

11.624

90.0

90.0

90.0

DFT

37.642

3.761

3.761

12.293

90.0

90.0

120.0

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

1

2

3

4

5

6

21.6

10.6

10.0

0.0

0.0

0.0

10.6

21.6

10.0

0.0

0.0

0.0

10.0

10.0

47.3

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

6.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

46.483

5.782

5.782

11.123

90.0

90.0

90.0

DFT

46.475

5.78

5.78

11.13

90.0

90.0

90.0

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

1

2

3

4

5

6

16.3

10.4

5.6

0.0

0.0

0.0

10.4

16.3

5.6

0.0

0.0

0.0

5.6

5.6

14.2

0.0

0.0

0.0

0.0

0.0

0.0

8.8

0.0

0.0

0.0

0.0

0.0

0.0

8.8

0.0

0.0

0.0

0.0

0.0

0.0

4.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.876

10.716

10.716

3.385

90.0

90.0

90.0

DFT

38.972

10.755

10.755

3.369

90.0

90.0

90.0

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

1

2

3

4

5

6

923.1

64082.8

-5247.4

0.0

0.0

1.3

64082.8

-24277.0

-34312.0

0.0

0.0

11479.0

-5247.4

-34312.0

-114426.5

0.0

0.0

11479.0

0.0

0.0

0.0

-1.6

-0.2

0.0

0.0

0.0

0.0

-0.2

3.8

0.0

1.3

11479.0

11479.0

0.0

0.0

9.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.58

6.792

6.792

10.988

90.0

90.0

120.0

DFT

36.63

6.793

6.793

10.999

90.0

90.0

120.0

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

1

2

3

4

5

6

39.9

17.3

16.7

0.0

0.0

0.0

17.3

39.9

16.7

0.0

0.0

0.0

16.7

16.7

43.6

0.0

0.0

0.0

0.0

0.0

0.0

8.3

0.0

0.0

0.0

0.0

0.0

0.0

8.3

0.0

0.0

0.0

0.0

0.0

0.0

11.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

46.043

6.348

6.348

13.953

62.94

117.06

120.0

DFT

44.129

6.766

6.766

10.017

90.0

90.0

120.0

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

1

2

3

4

5

6

18.9

12.3

4.6

-0.9

0.0

0.0

12.3

18.9

4.6

0.9

0.0

0.0

4.6

4.6

35.9

0.0

0.0

0.0

-0.9

0.9

0.0

0.9

0.0

0.0

0.0

0.0

0.0

0.0

0.9

-1.1

0.0

0.0

0.0

0.0

-1.1

3.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.898

8.389

8.389

8.389

90.0

90.0

90.0

DFT

36.803

8.382

8.382

8.382

90.0

90.0

90.0

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

1

2

3

4

5

6

22.5

16.5

16.5

0.0

0.0

0.0

16.5

22.5

16.5

0.0

0.0

0.0

16.5

16.5

22.5

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

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

48.637

8.271

8.271

13.137

90.0

90.0

120.0

DFT

48.437

8.221

8.221

13.242

90.0

90.0

120.0

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

1

2

3

4

5

6

15.4

9.1

8.1

0.0

0.0

0.0

9.1

15.4

8.1

0.0

0.0

0.0

8.1

8.1

22.0

0.0

0.0

0.0

0.0

0.0

0.0

2.6

0.0

0.0

0.0

0.0

0.0

0.0

2.6

0.0

0.0

0.0

0.0

0.0

0.0

3.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

47.19

5.783

5.783

22.576

90.0

90.0

90.0

DFT

47.326

5.722

5.722

23.13

90.0

90.0

90.0

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

1

2

3

4

5

6

14.2

8.1

3.8

0.0

0.0

0.0

8.1

14.2

3.8

0.0

0.0

0.0

3.8

3.8

9.4

0.0

0.0

0.0

0.0

0.0

0.0

5.4

0.0

0.0

0.0

0.0

0.0

0.0

5.4

0.0

0.0

0.0

0.0

0.0

0.0

4.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.831

3.56

3.56

5.812

90.0

90.0

90.0

DFT

36.736

3.557

3.557

5.806

90.0

90.0

90.0

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

1

2

3

4

5

6

21.6

10.6

10.0

0.0

0.0

0.0

10.6

21.6

10.0

0.0

0.0

0.0

10.0

10.0

47.3

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

6.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

45.845

9.019

9.019

9.019

90.0

90.0

90.0

DFT

46.59

9.067

9.067

9.067

90.0

90.0

90.0

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

1

2

3

4

5

6

13.4

11.1

11.1

0.0

0.0

0.0

11.1

13.4

11.1

0.0

0.0

0.0

11.1

11.1

13.4

0.0

0.0

0.0

0.0

0.0

0.0

10.7

0.0

0.0

0.0

0.0

0.0

0.0

10.7

0.0

0.0

0.0

0.0

0.0

0.0

10.7