gtinv-426 (K-Sn-2022-07-21)

Energy distribution

../../../../_images/distribution532.png

Convex hull (formation energy)

../../../../_images/convex532.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

K

0.25

-0.1053

icsd-635208-01-[CoGa3]

0.4286

-0.1791

icsd-16606-10-[Nb3Te4]

0.6

-0.2267

icsd-239-10-[Cu3Se2]

0.6667

-0.2213

icsd-610464-10-[PbClF/Cu2Sb]

0.8

-0.1451

icsd-42773-10-[IrGe4]

1.0

0.0

Sn

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-sep532.png

Prototype structure energy

../../../../_images/icsd-pred532.png

Phonon density of states

../../../../_images/dos532.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-01-[Fe6Ge6Mg]

-2.95894

-2.95896

icsd-97006-10-[InMg2]

-2.90838

-2.90872

icsd-107998-10-[MoNi4]

-2.81376

-2.81479

icsd-167735-10-[Ru2B3]

-2.79531

-2.79475

icsd-105521-10-[Al5W]

-2.76638

-2.76719

icsd-150584-10-[Fe13Ge3]

-2.76401

-2.76415

icsd-260285-01-[UCl3]

-2.73907

-2.7377

icsd-104506-01-[Ni3Sn]

-2.73907

-2.73767

icsd-42773-10-[IrGe4]

-2.70852

-2.7088

icsd-649037-01-[Ni3Ti]

-2.68116

-2.67902

icsd-648748-10-[Pd4Se]

-2.65059

-2.65068

icsd-610464-10-[PbClF/Cu2Sb]

-2.63673

-2.63654

icsd-181127-10-[Auricupride-AuCu3]

-2.61658

-2.61645

icsd-99787-10-[Fe3Pt]

-2.61658

-2.61645

icsd-648572-01-[CuInPt2]

-2.61658

-2.61645

icsd-609153-01-[AlPt3]

-2.61658

-2.61609

icsd-69199-01-[U3Si]

-2.61658

-2.6161

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

-2.61385

-2.61387

icsd-640726-10-[CuSmP2]

-2.61126

-2.61169

icsd-416747-01-[Al3Zr]

-2.61125

-2.61169

icsd-643301-01-[Au3Cd]

-2.61125

-2.61169

icsd-420250-01-[LiPd2Tl]

-2.60797

-2.6082

icsd-105191-01-[Al3Ti]

-2.60797

-2.6082

icsd-246555-10-[Co2Nd]

-2.60121

-2.60484

icsd-611176-01-[Fe2P]

-2.56084

-2.56669

icsd-58471-01-[CuZr2]

-2.55764

-2.55793

icsd-58607-10-[Au2Ti]

-2.55764

-2.55792

icsd-652553-10-[AlCr2-MoSi2]

-2.55763

-2.55792

icsd-188260-10-[Heusler-AlCu2Mn]

-2.55752

-2.55864

icsd-189695-01-[CuHg2Ti]

-2.55751

-2.55864

icsd-409859-10-[La2Sb]

-2.52141

-2.52056

icsd-155842-10-[Co5Fe11]

-2.50164

-2.49998

icsd-635642-01-[Hg5Mn2]

-2.491

-2.49135

icsd-239-10-[Cu3Se2]

-2.48962

-2.48926

icsd-59586-01-[Pd5Th3]

-2.47952

-2.47979

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

-2.4713

-2.47083

icsd-106786-10-[Hg2Pt]

-2.45268

-2.45168

icsd-5258-01-[FeSi2]

-2.44076

-2.44076

icsd-105726-01-[Pd5Ti3]

-2.42107

-2.42065

icsd-16504-01-[CrSi2]

-2.41454

-2.41414

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

-2.40668

-2.40652

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

-2.34825

-2.34857

icsd-629380-10-[Al3Os2]

-2.34351

-2.34278

icsd-103995-01-[Ga3Ti2]

-2.31172

-2.31196

icsd-629406-10-[Cu4Ti3]

-2.30402

-2.30395

icsd-105948-01-[InNi2]

-2.30139

-2.30099

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

-2.30139

-2.30099

icsd-659829-01-[Al2Li3]

-2.2772

-2.27765

icsd-73839-10-[Ni3S2]

-2.25988

-2.26004

icsd-635208-10-[CoGa3]

-2.24927

-2.24975

icsd-30446-01-[Fe2B]

-2.21307

-2.21302

icsd-639879-10-[In5In4]

-2.20696

-2.20698

icsd-16606-01-[Nb3Te4]

-2.17681

-2.17664

icsd-102712-01-[CoU]

-2.16322

-2.1626

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

-2.15863

-2.15761

icsd-55492-01-[BaPt]

-2.13411

-2.13425

icsd-424636-10-[MnGa4]

-2.10693

-2.10697

icsd-108762-10-[Hg4Pt]

-2.10693

-2.10697

icsd-639148-10-[NiHg4]

-2.10693

-2.10697

icsd-103775-01-[NaTl]

-2.10041

-2.09994

icsd-240119-01-[AlLi]

-2.10041

-2.10013

icsd-611457-01-[NbAs]

-2.09928

-2.09895

icsd-105636-01-[PbU]

-2.09928

-2.09895

icsd-618295-01-[MoC1-x]

-2.07135

-2.07112

icsd-42428-01-[Fe3Pt]

-2.05705

-2.05837

icsd-108707-01-[HgMn]

-2.05704

-2.0569

icsd-59508-01-[AuCu]

-2.05704

-2.0569

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

-2.05704

-2.0569

icsd-106325-01-[BiIn]

-2.05704

-2.05643

icsd-639227-10-[Si2U3]

-2.02256

-2.02268

icsd-639879-01-[In5In4]

-1.9817

-1.98187

icsd-100654-01-[BiSe]

-1.96236

-1.96278

icsd-169457-10-[ZrH2]

-1.94881

-1.94883

icsd-638227-10-[Fluorite-CaF2]

-1.94879

-1.94933

icsd-248490-10-[Pt2Si]

-1.94879

-1.94889

icsd-650527-01-[CsCl]

-1.94872

-1.94895

icsd-639037-01-[HgIn]

-1.94848

-1.94842

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

-1.94848

-1.94842

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

-1.94848

-1.94842

icsd-611618-01-[TiAs]

-1.94775

-1.94767

icsd-618702-01-[ScTe]

-1.94775

-1.94767

icsd-626692-01-[Nickeline-NiAs]

-1.94736

-1.94697

icsd-168897-01-[LaI]

-1.94736

-1.94697

icsd-16606-10-[Nb3Te4]

-1.94376

-1.94317

icsd-644708-01-[WC]

-1.94346

-1.94249

icsd-659856-01-[LiPt]

-1.94346

-1.94249

icsd-185626-10-[Al3Ni2]

-1.93153

-1.93096

icsd-629406-01-[Cu4Ti3]

-1.9172

-1.91675

icsd-635060-01-[Fersilicite-FeSi]

-1.89052

-1.89004

icsd-639227-01-[Si2U3]

-1.889

-1.8884

icsd-103995-10-[Ga3Ti2]

-1.88402

-1.88364

icsd-239-01-[Cu3Se2]

-1.8763

-1.87625

icsd-659829-10-[Al2Li3]

-1.87221

-1.87173

icsd-185626-01-[Al3Ni2]

-1.83325

-1.83396

icsd-629380-01-[Al3Os2]

-1.82472

-1.82441

icsd-59586-10-[Pd5Th3]

-1.78262

-1.78436

icsd-105726-10-[Pd5Ti3]

-1.76348

-1.76265

icsd-73839-01-[Ni3S2]

-1.72061

-1.72027

icsd-30446-10-[Fe2B]

-1.71459

-1.71225

icsd-611176-10-[Fe2P]

-1.66677

-1.66489

icsd-409859-01-[La2Sb]

-1.66112

-1.66185

icsd-106786-01-[Hg2Pt]

-1.65019

-1.65074

icsd-58607-01-[Au2Ti]

-1.64709

-1.64781

icsd-58471-10-[CuZr2]

-1.64703

-1.64792

icsd-5258-10-[FeSi2]

-1.63037

-1.62936

icsd-16504-10-[CrSi2]

-1.61275

-1.61342

icsd-105948-10-[InNi2]

-1.59864

-1.59833

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

-1.59864

-1.59833

icsd-155842-01-[Co5Fe11]

-1.56959

-1.56928

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

-1.56456

-1.56445

icsd-610464-01-[PbClF/Cu2Sb]

-1.56395

-1.56468

icsd-635642-10-[Hg5Mn2]

-1.54961

-1.54987

icsd-635208-01-[CoGa3]

-1.5496

-1.52932

icsd-42472-01-[CoO]

-1.54408

-1.54388

icsd-181788-01-[NaCl]

-1.54407

-1.54389

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

-1.50966

-1.51007

icsd-161109-01-[CoSn]

-1.50846

-1.50795

icsd-169457-01-[ZrH2]

-1.50172

-1.50188

icsd-248490-01-[Pt2Si]

-1.50171

-1.50189

icsd-638227-01-[Fluorite-CaF2]

-1.50171

-1.5019

icsd-105191-10-[Al3Ti]

-1.48243

-1.4825

icsd-420250-10-[LiPd2Tl]

-1.48243

-1.4825

icsd-188260-01-[Heusler-AlCu2Mn]

-1.47765

-1.47849

icsd-189695-10-[CuHg2Ti]

-1.47765

-1.47849

icsd-104506-10-[Ni3Sn]

-1.45653

-1.45649

icsd-260285-10-[UCl3]

-1.45653

-1.45649

icsd-416747-10-[Al3Zr]

-1.45297

-1.45101

icsd-640726-01-[CuSmP2]

-1.45293

-1.45102

icsd-643301-10-[Au3Cd]

-1.45281

-1.45106

icsd-649037-10-[Ni3Ti]

-1.4425

-1.44224

icsd-181127-01-[Auricupride-AuCu3]

-1.42117

-1.42122

icsd-609153-10-[AlPt3]

-1.42117

-1.42125

icsd-648572-10-[CuInPt2]

-1.42117

-1.42122

icsd-99787-01-[Fe3Pt]

-1.42116

-1.42122

icsd-69199-10-[U3Si]

-1.42107

-1.42114

icsd-648748-01-[Pd4Se]

-1.40168

-1.40105

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

-1.39664

-1.39658

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

-1.37401

-1.37405

icsd-107998-01-[MoNi4]

-1.37203

-1.37171

icsd-246555-01-[Co2Nd]

-1.37104

-1.37087

icsd-42773-01-[IrGe4]

-1.36698

-1.37222

icsd-639148-01-[NiHg4]

-1.36306

-1.36266

icsd-108762-01-[Hg4Pt]

-1.36306

-1.36266

icsd-424636-01-[MnGa4]

-1.36306

-1.36266

icsd-150584-01-[Fe13Ge3]

-1.31248

-1.31547

icsd-167735-01-[Ru2B3]

-1.25053

-1.25043

icsd-105521-01-[Al5W]

-1.23411

-1.23378

icsd-97006-01-[InMg2]

-1.13935

-1.13941

icsd-58745-10-[Fe6Ge6Mg]

-0.89663

-0.89872

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

34.72

8.221

8.221

8.221

90.0

90.0

90.0

DFT

34.642

8.214

8.214

8.214

90.0

90.0

90.0

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

1

2

3

4

5

6

34.9

6.8

6.8

0.0

0.0

0.0

6.8

34.9

6.8

0.0

0.0

0.0

6.8

6.8

34.9

0.0

0.0

0.0

0.0

0.0

0.0

10.8

0.0

0.0

0.0

0.0

0.0

0.0

10.8

0.0

0.0

0.0

0.0

0.0

0.0

10.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

45.942

6.79

6.79

7.42

102.6

77.4

123.74

DFT

43.238

6.298

6.298

7.553

90.0

90.0

120.0

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

1

2

3

4

5

6

7.8

6.1

3.9

-1.4

1.4

3.0

6.1

19.7

3.7

1.0

-0.6

5.9

3.9

3.7

24.0

0.0

-0.1

-0.2

-1.4

1.0

0.0

4.1

-0.4

0.7

1.4

-0.6

-0.1

-0.4

4.6

-1.8

3.0

5.9

-0.2

0.7

-1.8

4.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.648

3.406

3.406

5.8

90.0

90.0

90.0

DFT

34.976

3.648

3.648

6.069

90.0

90.0

120.0

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

1

2

3

4

5

6

29.1

9.4

10.4

0.0

0.0

0.0

9.4

29.1

10.4

0.0

0.0

0.0

10.4

10.4

55.4

0.0

0.0

0.0

0.0

0.0

0.0

6.7

0.0

0.0

0.0

0.0

0.0

0.0

6.7

0.0

0.0

0.0

0.0

0.0

0.0

10.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

47.43

8.867

8.867

6.033

90.0

90.0

90.0

DFT

47.931

8.742

8.742

6.273

90.0

90.0

90.0

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

1

2

3

4

5

6

15.4

10.0

10.3

0.0

0.0

-2.9

10.0

15.4

10.3

0.0

0.0

2.9

10.3

10.3

12.5

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

-2.9

2.9

0.0

0.0

0.0

3.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.992

4.924

4.924

9.898

90.0

90.0

90.0

DFT

29.922

4.896

4.896

9.987

90.0

90.0

90.0

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

1

2

3

4

5

6

32.3

22.7

27.7

0.0

0.0

0.0

22.7

32.3

27.7

0.0

0.0

0.0

27.7

27.7

34.6

0.0

0.0

0.0

0.0

0.0

0.0

10.5

0.0

0.0

0.0

0.0

0.0

0.0

10.5

0.0

0.0

0.0

0.0

0.0

0.0

23.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.75

4.151

4.151

4.151

90.0

90.0

90.0

DFT

35.984

4.16

4.16

4.16

90.0

90.0

90.0

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

1

2

3

4

5

6

15.4

24.8

24.8

0.0

0.0

0.0

24.8

15.4

24.8

0.0

0.0

0.0

24.8

24.8

15.4

0.0

0.0

0.0

0.0

0.0

0.0

19.9

0.0

0.0

0.0

0.0

0.0

0.0

19.9

0.0

0.0

0.0

0.0

0.0

0.0

19.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

46.256

5.698

5.698

5.698

90.0

90.0

90.0

DFT

45.84

5.681

5.681

5.681

90.0

90.0

90.0

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

1

2

3

4

5

6

16.1

9.0

9.0

0.0

0.0

0.0

9.0

16.1

9.0

0.0

0.0

0.0

9.0

9.0

16.1

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

2.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

41.859

6.251

3.698

10.866

90.0

90.0

90.0

DFT

46.183

5.131

5.131

10.527

90.0

90.0

90.0

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

1

2

3

4

5

6

30.6

9.2

17.1

0.0

0.0

0.0

9.2

11.1

9.7

0.0

0.0

0.0

17.1

9.7

37.5

0.0

0.0

0.0

0.0

0.0

0.0

-4674.3

0.0

0.0

0.0

0.0

0.0

0.0

8.0

0.0

0.0

0.0

0.0

0.0

0.0

2.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.246

4.905

4.905

20.112

90.0

90.0

90.0

DFT

29.925

4.899

4.899

19.948

90.0

90.0

90.0

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

1

2

3

4

5

6

39.0

24.9

24.5

0.0

0.0

0.0

24.9

39.0

24.5

0.0

0.0

0.0

24.5

24.5

48.5

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

0.0

0.0

0.0

0.0

0.0

22.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.492

6.753

6.753

6.753

90.0

90.0

90.0

DFT

37.889

6.717

6.717

6.717

90.0

90.0

90.0

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

1

2

3

4

5

6

-21124.5

-20165.4

12451.1

-4120.2

15707.8

-8875.6

-20165.4

-21124.5

-44262.2

-8875.6

-4120.2

15707.8

12451.1

-44262.2

-38166.7

-4121.4

15708.9

-8876.2

-4120.2

-8875.6

-4121.4

-47.2

0.0

0.0

15707.8

-4120.2

15708.9

0.0

-47.1

0.0

-8875.6

15707.8

-8876.2

0.0

0.0

-47.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.32

9.919

9.919

4.301

90.0

90.0

90.0

DFT

42.581

9.906

9.906

4.339

90.0

90.0

90.0

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

1

2

3

4

5

6

17.7

11.5

8.8

0.0

0.0

0.0

11.5

17.7

8.8

0.0

0.0

0.0

8.8

8.8

30.7

0.0

0.0

0.0

0.0

0.0

0.0

12.9

0.0

0.0

0.0

0.0

0.0

0.0

12.9

0.0

0.0

0.0

0.0

0.0

0.0

17.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

49.839

8.572

8.572

6.266

90.0

90.0

120.0

DFT

46.621

8.15

8.15

6.484

90.0

90.0

120.0

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

1

2

3

4

5

6

14.2

8.9

4.5

0.0

0.0

0.0

8.9

14.2

4.5

0.0

0.0

0.0

4.5

4.5

19.7

0.0

0.0

0.0

0.0

0.0

0.0

4.5

0.0

0.0

0.0

0.0

0.0

0.0

4.5

0.0

0.0

0.0

0.0

0.0

0.0

2.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

39.883

4.703

18.223

8.376

90.0

90.0

90.0

DFT

39.58

4.734

17.759

8.474

90.0

90.0

90.0

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

1

2

3

4

5

6

23.3

4.9

13.6

0.0

0.0

0.0

4.9

22.8

16.5

0.0

0.0

0.0

13.6

16.5

51.6

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

3.6

0.0

0.0

0.0

0.0

0.0

0.0

0.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

37.177

5.134

5.134

8.461

90.0

90.0

90.0

DFT

36.928

5.198

5.198

8.199

90.0

90.0

90.0

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

1

2

3

4

5

6

42.7

14.3

22.0

0.0

0.0

0.0

14.3

42.7

22.0

0.0

0.0

0.0

22.0

22.0

35.6

0.0

0.0

0.0

0.0

0.0

0.0

16.7

0.0

0.0

0.0

0.0

0.0

0.0

16.7

0.0

0.0

0.0

0.0

0.0

0.0

14.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.334

7.653

7.653

5.558

90.0

90.0

127.38

DFT

34.224

7.53

7.53

5.575

90.0

90.0

120.0

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

1

2

3

4

5

6

30.6

10.6

0.1

0.0

0.0

4.8

10.6

48.2

6.4

0.0

0.0

6.8

0.1

6.4

76.2

0.0

0.0

4.1

0.0

0.0

0.0

12.8

-0.4

0.0

0.0

0.0

0.0

-0.4

13.4

0.0

4.8

6.8

4.1

0.0

0.0

15.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.267

7.295

7.295

10.856

90.0

90.0

120.0

DFT

31.191

7.222

7.222

11.048

90.0

90.0

120.0

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

1

2

3

4

5

6

-63967.1

-31971.4

401.7

0.0

0.0

0.0

-31971.4

54.8

28.0

0.0

0.0

0.0

401.7

28.0

87.4

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

26.4

0.0

0.0

0.0

0.0

0.0

0.0

8.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

41.697

10.785

10.785

3.725

90.0

90.0

120.0

DFT

40.747

10.737

10.737

3.673

90.0

90.0

120.0

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

1

2

3

4

5

6

28.6

18.1

9.4

0.0

0.0

0.0

18.1

28.6

9.4

0.0

0.0

0.0

9.4

9.4

18.7

0.0

0.0

0.0

0.0

0.0

0.0

3.3

0.0

0.0

0.0

0.0

0.0

0.0

3.3

0.0

0.0

0.0

0.0

0.0

0.0

5.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.604

8.99

8.99

4.034

90.0

90.0

90.0

DFT

32.714

8.935

8.935

4.098

90.0

90.0

90.0

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

1

2

3

4

5

6

65.5

16.6

16.4

0.0

0.0

-2.3

16.6

65.5

16.4

0.0

0.0

2.3

16.4

16.4

32.0

0.0

0.0

0.0

0.0

0.0

0.0

4.0

0.0

0.0

0.0

0.0

0.0

0.0

4.0

0.0

-2.3

2.3

0.0

0.0

0.0

19.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

54.267

11.633

7.748

8.706

90.0

90.0

56.09

DFT

41.775

6.879

6.879

12.232

90.0

90.0

120.0

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

1

2

3

4

5

6

17.2

11.4

5.0

0.0

0.0

-3.3

11.4

16.2

10.8

0.0

0.0

-3.8

5.0

10.8

29.2

0.0

0.0

0.6

0.0

0.0

0.0

3.2

-1.3

0.0

0.0

0.0

0.0

-1.3

0.0

0.0

-3.3

-3.8

0.6

0.0

0.0

5.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.039

8.663

7.607

6.535

90.0

79.15

116.05

DFT

40.923

7.193

7.193

8.219

90.0

90.0

120.0

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

1

2

3

4

5

6

43.0

21.7

17.5

-1.3

-2.5

3.8

21.7

43.0

20.9

-0.6

-1.4

-3.7

17.5

20.9

49.1

0.5

0.9

-2.3

-1.3

-0.6

0.5

9.8

-1.1

-0.3

-2.5

-1.4

0.9

-1.1

8.1

-1.2

3.8

-3.7

-2.3

-0.3

-1.2

12.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.714

7.891

7.891

7.891

90.0

90.0

90.0

DFT

30.557

7.878

7.878

7.878

90.0

90.0

90.0

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

1

2

3

4

5

6

33.3

47.0

47.0

0.0

0.0

0.0

47.0

33.3

47.0

0.0

0.0

0.0

47.0

47.0

33.3

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

5.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

37.377

7.799

7.799

6.838

90.0

90.0

147.37

DFT

31.777

5.656

5.656

6.882

90.0

90.0

120.0

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

1

2

3

4

5

6

23.2

5.4

16.0

0.0

0.0

0.1

5.4

32.8

16.5

0.0

0.0

3.0

16.0

16.5

37.0

0.0

0.0

0.2

0.0

0.0

0.0

6.4

-0.4

0.0

0.0

0.0

0.0

-0.4

7.6

0.0

0.1

3.0

0.2

0.0

0.0

10.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.759

4.919

4.919

4.919

90.0

90.0

90.0

DFT

29.723

4.917

4.917

4.917

90.0

90.0

90.0

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

1

2

3

4

5

6

49.1

29.3

29.3

0.0

0.0

0.0

29.3

49.1

29.3

0.0

0.0

0.0

29.3

29.3

49.1

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

33.648

3.406

3.406

11.599

90.0

90.0

90.0

DFT

34.742

3.638

3.638

12.123

90.0

90.0

120.0

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

1

2

3

4

5

6

29.1

9.4

10.4

0.0

0.0

0.0

9.4

29.1

10.4

0.0

0.0

0.0

10.4

10.4

55.4

0.0

0.0

0.0

0.0

0.0

0.0

6.7

0.0

0.0

0.0

0.0

0.0

0.0

6.7

0.0

0.0

0.0

0.0

0.0

0.0

10.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

45.336

5.723

5.723

11.072

90.0

90.0

90.0

DFT

44.423

5.844

5.844

10.407

90.0

90.0

90.0

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

1

2

3

4

5

6

15.7

6.2

1.7

0.0

0.0

0.0

6.2

15.7

1.7

0.0

0.0

0.0

1.7

1.7

15.9

0.0

0.0

0.0

0.0

0.0

0.0

8.1

0.0

0.0

0.0

0.0

0.0

0.0

8.1

0.0

0.0

0.0

0.0

0.0

0.0

3.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

41.594

7.487

12.345

4.5

90.0

90.0

89.71

DFT

36.807

10.756

10.756

3.182

90.0

90.0

90.0

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

1

2

3

4

5

6

24.6

17.3

13.9

0.0

0.0

-2.3

17.3

30.4

11.0

0.0

0.0

-2.0

13.9

11.0

31.2

0.0

0.0

-0.1

0.0

0.0

0.0

9.7

-0.9

0.0

0.0

0.0

0.0

-0.9

7.8

0.0

-2.3

-2.0

-0.1

0.0

0.0

7.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.758

6.547

6.547

10.591

90.0

90.0

120.0

DFT

32.466

6.52

6.52

10.584

90.0

90.0

120.0

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

1

2

3

4

5

6

52.0

3.3

3.7

0.0

0.0

0.0

3.3

52.0

3.7

0.0

0.0

0.0

3.7

3.7

49.9

0.0

0.0

0.0

0.0

0.0

0.0

11.9

0.0

0.0

0.0

0.0

0.0

0.0

11.9

0.0

0.0

0.0

0.0

0.0

0.0

24.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

46.237

6.554

6.454

11.422

90.0

82.83

119.5

DFT

42.168

6.641

6.641

9.935

90.0

90.0

120.0

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

1

2

3

4

5

6

22.1

10.2

8.4

-1.0

0.0

-1.0

10.2

27.6

8.2

1.3

0.6

-3.6

8.4

8.2

24.4

-0.4

-0.7

0.1

-1.0

1.3

-0.4

1.9

1.8

-0.3

0.0

0.6

-0.7

1.8

4.1

-1.6

-1.0

-3.6

0.1

-0.3

-1.6

8.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.058

8.247

8.247

8.247

90.0

90.0

90.0

DFT

35.106

8.251

8.251

8.251

90.0

90.0

90.0

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

1

2

3

4

5

6

21.5

18.4

18.4

0.0

0.0

0.0

18.4

21.5

18.4

0.0

0.0

0.0

18.4

18.4

21.5

0.0

0.0

0.0

0.0

0.0

0.0

-8.2

0.0

0.0

0.0

0.0

0.0

0.0

-8.2

0.0

0.0

0.0

0.0

0.0

0.0

-8.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

47.49

8.332

8.332

12.639

90.0

90.0

120.0

DFT

46.177

8.104

8.104

12.991

90.0

90.0

120.0

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

1

2

3

4

5

6

16.0

9.6

8.1

0.0

0.0

0.0

9.6

16.0

8.1

0.0

0.0

0.0

8.1

8.1

20.9

0.0

0.0

0.0

0.0

0.0

0.0

4.5

0.0

0.0

0.0

0.0

0.0

0.0

4.5

0.0

0.0

0.0

0.0

0.0

0.0

3.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

45.23

5.768

5.768

21.751

90.0

90.0

90.0

DFT

45.154

5.693

5.693

22.294

90.0

90.0

90.0

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

1

2

3

4

5

6

18.4

9.1

7.8

0.0

0.0

0.0

9.1

18.4

7.8

0.0

0.0

0.0

7.8

7.8

16.1

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

5.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.648

3.406

3.406

5.8

90.0

90.0

90.0

DFT

33.612

3.409

3.409

5.784

90.0

90.0

90.0

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

1

2

3

4

5

6

29.1

9.4

10.4

0.0

0.0

0.0

9.4

29.1

10.4

0.0

0.0

0.0

10.4

10.4

55.4

0.0

0.0

0.0

0.0

0.0

0.0

6.7

0.0

0.0

0.0

0.0

0.0

0.0

6.7

0.0

0.0

0.0

0.0

0.0

0.0

10.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

46.406

9.055

9.055

9.055

90.0

90.0

90.0

DFT

44.22

8.911

8.911

8.911

90.0

90.0

90.0

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

1

2

3

4

5

6

5.0

7.4

7.4

0.0

0.0

0.0

7.4

5.0

7.4

0.0

0.0

0.0

7.4

7.4

5.0

0.0

0.0

0.0

0.0

0.0

0.0

8.2

0.0

0.0

0.0

0.0

0.0

0.0

8.2

0.0

0.0

0.0

0.0

0.0

0.0

8.2