pair-52 (Li-Ba-2022-06-12)

Energy distribution

../../../../_images/distribution552.png

Convex hull (formation energy)

../../../../_images/convex552.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Li

1.0

0.0

Ba

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-sep552.png

Prototype structure energy

../../../../_images/icsd-pred552.png

Phonon density of states

../../../../_images/dos552.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-97006-10-[InMg2]

-1.80458

-1.8043

icsd-107998-10-[MoNi4]

-1.78557

-1.78336

icsd-30446-01-[Fe2B]

-1.75875

-1.75295

icsd-58607-10-[Au2Ti]

-1.75732

-1.75757

icsd-652553-10-[AlCr2-MoSi2]

-1.75722

-1.75756

icsd-58471-01-[CuZr2]

-1.75721

-1.75755

icsd-648748-10-[Pd4Se]

-1.75457

-1.75439

icsd-639227-10-[Si2U3]

-1.74592

-1.7459

icsd-167735-10-[Ru2B3]

-1.743

-1.74589

icsd-105521-10-[Al5W]

-1.74175

-1.74227

icsd-105726-01-[Pd5Ti3]

-1.74031

-1.74217

icsd-629380-10-[Al3Os2]

-1.73347

-1.7331

icsd-611176-01-[Fe2P]

-1.73229

-1.74112

icsd-42773-10-[IrGe4]

-1.73124

-1.72741

icsd-150584-10-[Fe13Ge3]

-1.73061

-1.72924

icsd-635208-10-[CoGa3]

-1.72589

-1.7208

icsd-629406-10-[Cu4Ti3]

-1.71748

-1.72029

icsd-103995-01-[Ga3Ti2]

-1.71565

-1.71582

icsd-105948-01-[InNi2]

-1.71522

-1.71582

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

-1.71521

-1.71582

icsd-104506-01-[Ni3Sn]

-1.71096

-1.71139

icsd-260285-01-[UCl3]

-1.71095

-1.71139

icsd-649037-01-[Ni3Ti]

-1.70645

-1.70689

icsd-69199-01-[U3Si]

-1.70605

-1.70644

icsd-609153-01-[AlPt3]

-1.70605

-1.70644

icsd-99787-10-[Fe3Pt]

-1.70605

-1.70643

icsd-648572-01-[CuInPt2]

-1.70605

-1.70643

icsd-181127-10-[Auricupride-AuCu3]

-1.70604

-1.70643

icsd-409859-10-[La2Sb]

-1.70396

-1.70854

icsd-610464-10-[PbClF/Cu2Sb]

-1.70304

-1.70595

icsd-42428-01-[Fe3Pt]

-1.70216

-1.70163

icsd-108707-01-[HgMn]

-1.70215

-1.70162

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

-1.70215

-1.70162

icsd-59508-01-[AuCu]

-1.70215

-1.70162

icsd-106325-01-[BiIn]

-1.7021

-1.70164

icsd-650527-01-[CsCl]

-1.70201

-1.70163

icsd-102712-01-[CoU]

-1.70196

-1.70153

icsd-416747-01-[Al3Zr]

-1.69929

-1.70091

icsd-640726-10-[CuSmP2]

-1.69929

-1.70091

icsd-643301-01-[Au3Cd]

-1.69928

-1.70091

icsd-639879-10-[In5In4]

-1.69664

-1.69765

icsd-420250-01-[LiPd2Tl]

-1.69486

-1.69419

icsd-105191-01-[Al3Ti]

-1.69485

-1.69418

icsd-155842-10-[Co5Fe11]

-1.69387

-1.7029

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

-1.68473

-1.68437

icsd-188260-10-[Heusler-AlCu2Mn]

-1.68013

-1.67737

icsd-189695-01-[CuHg2Ti]

-1.68013

-1.67737

icsd-629406-01-[Cu4Ti3]

-1.67886

-1.67925

icsd-59586-01-[Pd5Th3]

-1.67613

-1.67774

icsd-58745-01-[Fe6Ge6Mg]

-1.67325

-1.66697

icsd-246555-01-[Co2Nd]

-1.67227

-1.67196

icsd-629380-01-[Al3Os2]

-1.66962

-1.66938

icsd-639879-01-[In5In4]

-1.66432

-1.66404

icsd-105726-10-[Pd5Ti3]

-1.66385

-1.6628

icsd-239-10-[Cu3Se2]

-1.66214

-1.66254

icsd-610464-01-[PbClF/Cu2Sb]

-1.66156

-1.66162

icsd-103995-10-[Ga3Ti2]

-1.65971

-1.65839

icsd-635642-01-[Hg5Mn2]

-1.65811

-1.66097

icsd-185626-01-[Al3Ni2]

-1.65572

-1.65539

icsd-58607-01-[Au2Ti]

-1.65571

-1.65578

icsd-652553-01-[AlCr2-MoSi2]

-1.6557

-1.65576

icsd-58471-10-[CuZr2]

-1.6557

-1.65576

icsd-16606-01-[Nb3Te4]

-1.65512

-1.65918

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

-1.65423

-1.65625

icsd-16504-01-[CrSi2]

-1.65396

-1.65173

icsd-59586-10-[Pd5Th3]

-1.65054

-1.65145

icsd-185626-10-[Al3Ni2]

-1.64994

-1.65299

icsd-16606-10-[Nb3Te4]

-1.6487

-1.64171

icsd-409859-01-[La2Sb]

-1.64823

-1.64865

icsd-618295-01-[MoC1-x]

-1.64498

-1.64445

icsd-5258-01-[FeSi2]

-1.63996

-1.64373

icsd-659829-10-[Al2Li3]

-1.62494

-1.61861

icsd-635060-01-[Fersilicite-FeSi]

-1.62491

-1.6284

icsd-106786-10-[Hg2Pt]

-1.6238

-1.62544

icsd-105636-01-[PbU]

-1.61787

-1.61752

icsd-611457-01-[NbAs]

-1.61787

-1.61752

icsd-659829-01-[Al2Li3]

-1.61445

-1.62028

icsd-169457-10-[ZrH2]

-1.61168

-1.61199

icsd-248490-10-[Pt2Si]

-1.61167

-1.61199

icsd-638227-10-[Fluorite-CaF2]

-1.61166

-1.61201

icsd-239-01-[Cu3Se2]

-1.61085

-1.61147

icsd-30446-10-[Fe2B]

-1.61004

-1.60935

icsd-260285-10-[UCl3]

-1.60802

-1.60729

icsd-104506-10-[Ni3Sn]

-1.60802

-1.60726

icsd-107998-01-[MoNi4]

-1.6049

-1.60461

icsd-240119-01-[AlLi]

-1.60409

-1.60406

icsd-103775-01-[NaTl]

-1.60409

-1.60406

icsd-648748-01-[Pd4Se]

-1.6021

-1.60192

icsd-161109-01-[CoSn]

-1.59842

-1.58355

icsd-58745-10-[Fe6Ge6Mg]

-1.59016

-1.59337

icsd-150584-01-[Fe13Ge3]

-1.58375

-1.58406

icsd-16504-10-[CrSi2]

-1.58337

-1.58419

icsd-100654-01-[BiSe]

-1.58223

-1.58359

icsd-635642-10-[Hg5Mn2]

-1.58057

-1.57135

icsd-55492-01-[BaPt]

-1.57865

-1.57798

icsd-424636-10-[MnGa4]

-1.57791

-1.57918

icsd-108762-10-[Hg4Pt]

-1.57791

-1.57918

icsd-639148-10-[NiHg4]

-1.57791

-1.57918

icsd-155842-01-[Co5Fe11]

-1.57677

-1.58679

icsd-644708-01-[WC]

-1.574

-1.57305

icsd-659856-01-[LiPt]

-1.57399

-1.57305

icsd-42773-01-[IrGe4]

-1.57188

-1.5752

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

-1.57003

-1.57028

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

-1.57001

-1.57028

icsd-639037-01-[HgIn]

-1.57001

-1.57028

icsd-611618-01-[TiAs]

-1.56859

-1.56821

icsd-618702-01-[ScTe]

-1.56859

-1.5682

icsd-626692-01-[Nickeline-NiAs]

-1.56674

-1.5666

icsd-168897-01-[LaI]

-1.56674

-1.5666

icsd-106786-01-[Hg2Pt]

-1.56641

-1.56591

icsd-105948-10-[InNi2]

-1.56246

-1.56153

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

-1.56246

-1.56153

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

-1.56114

-1.56115

icsd-105521-01-[Al5W]

-1.56025

-1.56079

icsd-105191-10-[Al3Ti]

-1.55784

-1.55812

icsd-420250-10-[LiPd2Tl]

-1.55783

-1.55812

icsd-649037-10-[Ni3Ti]

-1.5576

-1.56153

icsd-188260-01-[Heusler-AlCu2Mn]

-1.55473

-1.55662

icsd-189695-10-[CuHg2Ti]

-1.55473

-1.55662

icsd-643301-10-[Au3Cd]

-1.5375

-1.53592

icsd-640726-01-[CuSmP2]

-1.53659

-1.53591

icsd-416747-10-[Al3Zr]

-1.53644

-1.53589

icsd-97006-01-[InMg2]

-1.53501

-1.53505

icsd-611176-10-[Fe2P]

-1.52675

-1.53109

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

-1.51741

-1.51741

icsd-42472-01-[CoO]

-1.50576

-1.50497

icsd-181788-01-[NaCl]

-1.50571

-1.50497

icsd-639227-01-[Si2U3]

-1.50239

-1.50167

icsd-69199-10-[U3Si]

-1.48682

-1.48619

icsd-181127-01-[Auricupride-AuCu3]

-1.48664

-1.48597

icsd-648572-10-[CuInPt2]

-1.48663

-1.48598

icsd-609153-10-[AlPt3]

-1.48663

-1.48596

icsd-99787-01-[Fe3Pt]

-1.48662

-1.48598

icsd-167735-01-[Ru2B3]

-1.48521

-1.48559

icsd-73839-01-[Ni3S2]

-1.47799

-1.48263

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

-1.46447

-1.46522

icsd-5258-10-[FeSi2]

-1.44611

-1.44605

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

-1.43395

-1.43483

icsd-169457-01-[ZrH2]

-1.42561

-1.42544

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

-1.40169

-1.40122

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

-1.39269

-1.39295

icsd-635208-01-[CoGa3]

-1.39136

-1.38995

icsd-246555-10-[Co2Nd]

-1.39024

-1.38987

icsd-73839-10-[Ni3S2]

-1.38846

-1.38965

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

-1.30117

-1.30084

icsd-248490-01-[Pt2Si]

-1.22048

-1.22108

icsd-638227-01-[Fluorite-CaF2]

-1.22042

-1.22104

icsd-639148-01-[NiHg4]

-0.96166

-0.9615

icsd-108762-01-[Hg4Pt]

-0.96166

-0.9615

icsd-424636-01-[MnGa4]

-0.96166

-0.9615

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.813

8.815

8.815

8.815

90.0

90.0

90.0

DFT

43.172

8.84

8.84

8.84

90.0

90.0

90.0

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

1

2

3

4

5

6

26.6

9.9

9.9

0.0

0.0

0.0

9.9

26.6

9.9

0.0

0.0

0.0

9.9

9.9

26.6

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

6.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

34.289

6.827

6.827

7.052

90.0

90.0

141.25

DFT

38.267

6.11

6.11

7.102

90.0

90.0

120.0

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

1

2

3

4

5

6

40.6

13.5

13.3

0.0

0.0

-1.0

13.5

27.6

16.7

0.0

0.0

-4.3

13.3

16.7

33.8

0.0

0.0

1.4

0.0

0.0

0.0

15.6

1.8

0.0

0.0

0.0

0.0

1.8

11.1

0.0

-1.0

-4.3

1.4

0.0

0.0

11.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.813

4.408

4.408

4.408

90.0

90.0

90.0

DFT

45.331

4.29

4.29

5.689

90.0

90.0

120.0

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

1

2

3

4

5

6

26.6

9.9

9.9

0.0

0.0

0.0

9.9

26.6

9.9

0.0

0.0

0.0

9.9

9.9

26.6

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

6.1

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

28.515

8.678

8.678

3.786

90.0

90.0

90.0

DFT

28.715

8.655

8.655

3.834

90.0

90.0

90.0

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

1

2

3

4

5

6

24.5

4.0

9.8

0.0

0.0

3.3

4.0

24.5

9.7

0.0

0.0

-3.3

9.8

9.7

33.2

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

3.3

-3.3

0.0

0.0

0.0

8.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

54.078

5.84

5.84

12.686

90.0

90.0

90.0

DFT

54.719

5.804

5.804

12.995

90.0

90.0

90.0

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

1

2

3

4

5

6

5.3

21.0

9.2

0.0

0.0

0.0

21.0

5.3

9.2

0.0

0.0

0.0

9.2

9.2

11.0

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

13.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.813

4.408

4.408

4.408

90.0

90.0

90.0

DFT

43.266

4.423

4.423

4.423

90.0

90.0

90.0

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

1

2

3

4

5

6

26.6

9.9

9.9

0.0

0.0

0.0

9.9

26.6

9.9

0.0

0.0

0.0

9.9

9.9

26.6

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

6.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.48

5.216

5.216

5.216

90.0

90.0

90.0

DFT

35.949

5.239

5.239

5.239

90.0

90.0

90.0

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

1

2

3

4

5

6

18.3

11.3

11.3

0.0

0.0

0.0

11.3

18.3

11.3

0.0

0.0

0.0

11.3

11.3

18.3

0.0

0.0

0.0

0.0

0.0

0.0

4.1

0.0

0.0

0.0

0.0

0.0

0.0

4.1

0.0

0.0

0.0

0.0

0.0

0.0

4.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

37.148

5.07

5.07

8.673

90.0

90.0

90.0

DFT

36.485

5.07

5.07

8.517

90.0

90.0

90.0

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

1

2

3

4

5

6

27.3

5.6

4.7

0.0

0.0

0.0

5.6

27.3

4.7

0.0

0.0

0.0

4.7

4.7

17.5

0.0

0.0

0.0

0.0

0.0

0.0

9.6

0.0

0.0

0.0

0.0

0.0

0.0

9.6

0.0

0.0

0.0

0.0

0.0

0.0

6.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

57.99

4.921

6.907

27.298

90.0

90.0

90.0

DFT

54.72

5.881

5.881

25.318

90.0

90.0

90.0

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

1

2

3

4

5

6

10.3

1.3

3.6

0.0

0.0

0.0

1.3

16.1

-1.4

0.0

0.0

0.0

3.6

-1.4

17.7

0.0

0.0

0.0

0.0

0.0

0.0

3.9

0.0

0.0

0.0

0.0

0.0

0.0

9.2

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.599

6.985

6.985

6.985

90.0

90.0

90.0

DFT

44.587

7.092

7.092

7.092

90.0

90.0

90.0

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

1

2

3

4

5

6

10.3

10.2

10.2

0.0

0.0

0.0

10.2

10.3

10.2

0.0

0.0

0.0

10.2

10.2

10.3

0.0

0.0

0.0

0.0

0.0

0.0

-10.3

0.0

0.0

0.0

0.0

0.0

0.0

-10.3

0.0

0.0

0.0

0.0

0.0

0.0

-10.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

40.04

9.73

9.73

4.229

90.0

90.0

90.0

DFT

42.882

10.07

10.07

4.229

90.0

90.0

90.0

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

1

2

3

4

5

6

18.7

17.6

13.0

0.0

0.0

0.0

17.6

18.7

13.0

0.0

0.0

0.0

13.0

13.0

33.0

0.0

0.0

0.0

0.0

0.0

0.0

7.0

0.0

0.0

0.0

0.0

0.0

0.0

7.0

0.0

0.0

0.0

0.0

0.0

0.0

6.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.695

7.584

7.584

5.412

90.0

90.0

120.0

DFT

34.152

7.74

7.74

5.266

90.0

90.0

120.0

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

1

2

3

4

5

6

13.6

13.1

16.7

0.0

0.0

0.0

13.1

13.6

16.7

0.0

0.0

0.0

16.7

16.7

31.7

0.0

0.0

0.0

0.0

0.0

0.0

8.7

0.0

0.0

0.0

0.0

0.0

0.0

8.7

0.0

0.0

0.0

0.0

0.0

0.0

0.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

50.643

5.151

17.509

10.109

90.0

90.0

90.0

DFT

50.609

5.055

17.639

10.217

90.0

90.0

90.0

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

1

2

3

4

5

6

18.3

10.0

10.0

0.0

0.0

0.0

10.0

12.3

5.0

0.0

0.0

0.0

10.0

5.0

12.3

0.0

0.0

0.0

0.0

0.0

0.0

3.7

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

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

49.648

5.438

5.438

10.072

90.0

90.0

90.0

DFT

51.74

5.567

5.567

10.015

90.0

90.0

90.0

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

1

2

3

4

5

6

18.3

16.8

9.0

0.0

0.0

0.0

16.8

18.3

9.0

0.0

0.0

0.0

9.0

9.0

19.3

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

6.0

0.0

0.0

0.0

0.0

0.0

0.0

14.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

57.359

8.476

10.085

6.679

90.0

90.0

126.51

DFT

53.815

8.468

8.468

6.933

90.0

90.0

120.0

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

1

2

3

4

5

6

23.0

1.8

1.4

0.0

0.0

-0.1

1.8

21.7

3.7

0.0

0.0

2.2

1.4

3.7

17.3

0.0

0.0

-3.7

0.0

0.0

0.0

9.0

-2.2

0.0

0.0

0.0

0.0

-2.2

7.7

0.0

-0.1

2.2

-3.7

0.0

0.0

7.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

53.752

8.627

8.627

13.344

90.0

90.0

120.0

DFT

54.216

8.494

8.494

13.882

90.0

90.0

120.0

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

1

2

3

4

5

6

18.2

13.6

7.1

0.0

0.0

0.0

13.6

18.2

7.0

0.0

0.0

0.0

7.1

7.0

14.6

0.0

0.0

0.0

0.0

0.0

0.0

5.6

0.0

0.0

0.0

0.0

0.0

0.0

5.6

0.0

0.0

0.0

0.0

0.0

0.0

2.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.135

8.683

8.683

4.212

90.0

90.0

84.72

DFT

34.316

9.901

9.901

3.638

90.0

90.0

120.0

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

1

2

3

4

5

6

17.5

7.3

7.3

0.0

0.0

2.6

7.3

16.6

7.9

0.0

0.0

1.8

7.3

7.9

26.9

0.0

0.0

-3.6

0.0

0.0

0.0

7.7

-2.6

0.0

0.0

0.0

0.0

-2.6

7.2

0.0

2.6

1.8

-3.6

0.0

0.0

9.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

60.411

11.151

11.151

4.858

90.0

90.0

90.0

DFT

55.335

11.124

11.124

4.471

90.0

90.0

90.0

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

1

2

3

4

5

6

21.0

11.8

11.5

0.0

0.0

3.1

11.8

21.0

11.5

0.0

0.0

-3.1

11.5

11.5

25.2

0.0

0.0

0.0

0.0

0.0

0.0

13.0

0.0

0.0

0.0

0.0

0.0

0.0

13.0

0.0

3.1

-3.1

0.0

0.0

0.0

9.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.998

6.689

6.689

10.528

90.0

90.0

120.0

DFT

34.291

6.663

6.663

10.704

90.0

90.0

120.0

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

1

2

3

4

5

6

28.5

12.0

12.4

0.0

0.0

0.0

12.0

28.5

12.4

0.0

0.0

0.0

12.4

12.4

36.2

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

8.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

52.602

7.209

7.209

10.518

90.0

90.0

120.0

DFT

50.632

7.143

7.143

10.314

90.0

90.0

120.0

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

1

2

3

4

5

6

11.6

8.6

4.2

0.0

0.0

0.0

8.6

11.6

4.2

0.0

0.0

0.0

4.2

4.2

26.6

0.0

0.0

0.0

0.0

0.0

0.0

2282.2

-3115.1

0.0

0.0

0.0

0.0

-3115.1

3951.7

0.0

0.0

0.0

0.0

0.0

0.0

1.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

60.41

9.887

9.887

9.887

90.0

90.0

90.0

DFT

53.68

9.506

9.506

9.506

90.0

90.0

90.0

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

1

2

3

4

5

6

18.7

14.0

14.0

0.0

0.0

0.0

14.0

18.7

14.0

0.0

0.0

0.0

14.0

14.0

18.7

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

6.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

51.01

6.607

6.607

8.095

90.0

90.0

120.0

DFT

50.01

6.539

6.539

8.103

90.0

90.0

120.0

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

1

2

3

4

5

6

16.1

7.6

8.8

0.0

0.0

0.0

7.6

16.1

8.8

0.0

0.0

0.0

8.8

8.8

44.5

0.0

0.0

0.0

0.0

0.0

0.0

7.6

0.0

0.0

0.0

0.0

0.0

0.0

7.6

0.0

0.0

0.0

0.0

0.0

0.0

4.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

54.372

6.014

6.014

6.014

90.0

90.0

90.0

DFT

54.778

6.029

6.029

6.029

90.0

90.0

90.0

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

1

2

3

4

5

6

8.9

6.7

6.7

0.0

0.0

0.0

6.7

8.9

6.7

0.0

0.0

0.0

6.7

6.7

8.9

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

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

43.956

4.38

4.38

10.582

90.0

90.0

120.0

DFT

44.781

4.241

4.241

11.498

90.0

90.0

120.0

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

1

2

3

4

5

6

19.9

15.2

10.5

0.0

0.0

0.0

15.2

19.9

10.5

0.0

0.0

0.0

10.5

10.5

29.2

0.0

0.0

0.0

0.0

0.0

0.0

9.8

0.0

0.0

0.0

0.0

0.0

0.0

9.8

0.0

0.0

0.0

0.0

0.0

0.0

2.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.888

5.104

5.104

9.792

90.0

90.0

90.0

DFT

32.458

5.024

5.024

10.289

90.0

90.0

90.0

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

1

2

3

4

5

6

6.1

6.6

8.5

0.0

0.0

0.0

6.6

6.1

8.5

0.0

0.0

0.0

8.5

8.5

18.1

0.0

0.0

0.0

0.0

0.0

0.0

-2.5

0.0

0.0

0.0

0.0

0.0

0.0

-2.5

0.0

0.0

0.0

0.0

0.0

0.0

2.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

46.49

9.903

9.903

4.741

90.0

90.0

90.0

DFT

47.851

9.705

9.705

5.081

90.0

90.0

90.0

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

1

2

3

4

5

6

24.0

4.4

6.3

0.0

0.0

0.0

4.4

24.0

6.3

0.0

0.0

0.0

6.3

6.3

10.6

0.0

0.0

0.0

0.0

0.0

0.0

11.4

0.0

0.0

0.0

0.0

0.0

0.0

11.4

0.0

0.0

0.0

0.0

0.0

0.0

9.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

48.19

7.508

7.508

11.844

90.0

90.0

120.0

DFT

57.026

7.922

7.922

12.592

90.0

90.0

120.0

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

1

2

3

4

5

6

31.6

18.5

10.8

0.0

0.0

0.3

18.5

28.2

10.1

0.0

0.0

0.0

10.8

10.1

9.9

0.0

0.0

0.0

0.0

0.0

0.0

-9.4

0.0

0.0

0.0

0.0

0.0

0.0

-9.4

0.0

0.3

0.0

0.0

0.0

0.0

5.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

34.666

6.403

6.403

8.788

90.0

90.0

120.0

DFT

35.694

6.406

6.406

9.039

90.0

90.0

120.0

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

1

2

3

4

5

6

24.4

22.8

16.6

0.0

0.0

0.0

22.8

24.4

16.6

0.0

0.0

0.0

16.6

16.6

28.0

0.0

0.0

0.0

0.0

0.0

0.0

1.1

0.0

0.0

0.0

0.0

0.0

0.0

1.1

0.0

0.0

0.0

0.0

0.0

0.0

0.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.883

8.537

8.537

8.537

90.0

90.0

90.0

DFT

38.857

8.535

8.535

8.535

90.0

90.0

90.0

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

1

2

3

4

5

6

9.6

12.8

12.8

0.0

0.0

0.0

12.8

9.6

12.8

0.0

0.0

0.0

12.8

12.8

9.6

0.0

0.0

0.0

0.0

0.0

0.0

2.1

0.0

0.0

0.0

0.0

0.0

0.0

2.1

0.0

0.0

0.0

0.0

0.0

0.0

2.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.549

7.44

7.44

10.862

90.0

90.0

120.0

DFT

33.711

7.775

7.775

10.303

90.0

90.0

120.0

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

1

2

3

4

5

6

25.3

18.8

16.4

0.0

0.0

0.1

18.8

25.3

16.4

0.0

0.0

0.0

16.4

16.4

29.0

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

0.1

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

32.458

5.376

5.376

17.968

90.0

90.0

90.0

DFT

33.892

5.447

5.447

18.28

90.0

90.0

90.0

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

1

2

3

4

5

6

13.9

9.5

7.5

0.0

0.0

0.0

9.5

13.9

7.5

0.0

0.0

0.0

7.5

7.5

18.8

0.0

0.0

0.0

0.0

0.0

0.0

6.8

0.0

0.0

0.0

0.0

0.0

0.0

8.6

0.0

0.0

0.0

0.0

0.0

0.0

5.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.813

4.408

4.408

4.408

90.0

90.0

90.0

DFT

43.088

4.417

4.417

4.417

90.0

90.0

90.0

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

1

2

3

4

5

6

26.6

9.9

9.9

0.0

0.0

0.0

9.9

26.6

9.9

0.0

0.0

0.0

9.9

9.9

26.6

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

6.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.64

8.053

8.053

8.053

90.0

90.0

90.0

DFT

33.861

8.152

8.152

8.152

90.0

90.0

90.0

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

1

2

3

4

5

6

9.7

8.5

8.5

0.0

0.0

0.0

8.5

9.7

8.5

0.0

0.0

0.0

8.5

8.5

9.7

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0