gtinv-416 (Ca-Ge-2022-06-12)

Energy distribution

../../../../_images/distribution324.png

Convex hull (formation energy)

../../../../_images/convex324.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Ca

0.3333

-0.6039

icsd-638227-01-[Fluorite-CaF2]

0.3333

-0.6039

icsd-248490-01-[Pt2Si]

0.3333

-0.6039

icsd-169457-01-[ZrH2]

0.625

-0.5043

icsd-59586-01-[Pd5Th3]

1.0

0.0

Ge

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-sep324.png

Prototype structure energy

../../../../_images/icsd-pred324.png

Phonon density of states

../../../../_images/dos324.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-59586-01-[Pd5Th3]

-3.54895

-3.54977

icsd-260285-01-[UCl3]

-3.54308

-3.54198

icsd-104506-01-[Ni3Sn]

-3.54308

-3.54198

icsd-649037-01-[Ni3Ti]

-3.53964

-3.53528

icsd-69199-01-[U3Si]

-3.51865

-3.51883

icsd-609153-01-[AlPt3]

-3.51865

-3.51883

icsd-181127-10-[Auricupride-AuCu3]

-3.51865

-3.51882

icsd-99787-10-[Fe3Pt]

-3.51865

-3.51882

icsd-648572-01-[CuInPt2]

-3.51865

-3.51882

icsd-611176-01-[Fe2P]

-3.49516

-3.49632

icsd-643301-01-[Au3Cd]

-3.48731

-3.48489

icsd-416747-01-[Al3Zr]

-3.48731

-3.48489

icsd-640726-10-[CuSmP2]

-3.4873

-3.48489

icsd-107998-10-[MoNi4]

-3.48495

-3.48556

icsd-246555-10-[Co2Nd]

-3.48159

-3.4805

icsd-42773-10-[IrGe4]

-3.47819

-3.48088

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

-3.46146

-3.46166

icsd-167735-10-[Ru2B3]

-3.45213

-3.45236

icsd-105191-01-[Al3Ti]

-3.45119

-3.45066

icsd-420250-01-[LiPd2Tl]

-3.45118

-3.45066

icsd-648748-10-[Pd4Se]

-3.43876

-3.43917

icsd-409859-10-[La2Sb]

-3.43853

-3.43794

icsd-652553-10-[AlCr2-MoSi2]

-3.432

-3.43169

icsd-58607-10-[Au2Ti]

-3.43199

-3.43169

icsd-58471-01-[CuZr2]

-3.43199

-3.43169

icsd-155842-10-[Co5Fe11]

-3.42214

-3.41806

icsd-150584-10-[Fe13Ge3]

-3.41061

-3.40866

icsd-105521-10-[Al5W]

-3.40912

-3.40988

icsd-105726-01-[Pd5Ti3]

-3.40681

-3.40627

icsd-610464-10-[PbClF/Cu2Sb]

-3.39952

-3.40069

icsd-97006-10-[InMg2]

-3.39881

-3.39824

icsd-629380-10-[Al3Os2]

-3.39125

-3.39106

icsd-58745-01-[Fe6Ge6Mg]

-3.38422

-3.37909

icsd-239-10-[Cu3Se2]

-3.37948

-3.38065

icsd-106786-10-[Hg2Pt]

-3.37311

-3.37091

icsd-30446-01-[Fe2B]

-3.373

-3.37042

icsd-103995-01-[Ga3Ti2]

-3.36981

-3.36962

icsd-635642-01-[Hg5Mn2]

-3.36012

-3.36081

icsd-16504-01-[CrSi2]

-3.34362

-3.34347

icsd-42428-01-[Fe3Pt]

-3.33231

-3.33287

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

-3.33231

-3.33245

icsd-59508-01-[AuCu]

-3.33231

-3.33245

icsd-108707-01-[HgMn]

-3.33231

-3.33244

icsd-106325-01-[BiIn]

-3.33231

-3.33305

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

-3.32051

-3.32053

icsd-659829-01-[Al2Li3]

-3.31616

-3.31582

icsd-639879-10-[In5In4]

-3.31582

-3.31621

icsd-102712-01-[CoU]

-3.31552

-3.31579

icsd-650527-01-[CsCl]

-3.31535

-3.31496

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

-3.30625

-3.30635

icsd-105948-01-[InNi2]

-3.30625

-3.30635

icsd-188260-10-[Heusler-AlCu2Mn]

-3.2998

-3.29913

icsd-189695-01-[CuHg2Ti]

-3.2998

-3.29913

icsd-73839-10-[Ni3S2]

-3.2935

-3.29155

icsd-618295-01-[MoC1-x]

-3.29159

-3.29405

icsd-55492-01-[BaPt]

-3.2841

-3.2861

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

-3.28327

-3.28695

icsd-5258-01-[FeSi2]

-3.28292

-3.28272

icsd-629406-10-[Cu4Ti3]

-3.23318

-3.23174

icsd-639227-01-[Si2U3]

-3.21176

-3.21277

icsd-639879-01-[In5In4]

-3.19846

-3.19795

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

-3.17995

-3.17953

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

-3.17373

-3.17418

icsd-639037-01-[HgIn]

-3.17373

-3.17418

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

-3.17373

-3.17418

icsd-611618-01-[TiAs]

-3.16943

-3.16955

icsd-618702-01-[ScTe]

-3.16943

-3.16955

icsd-639227-10-[Si2U3]

-3.16524

-3.1643

icsd-626692-01-[Nickeline-NiAs]

-3.16373

-3.16429

icsd-168897-01-[LaI]

-3.16373

-3.16429

icsd-105636-01-[PbU]

-3.16193

-3.16104

icsd-611457-01-[NbAs]

-3.16193

-3.16104

icsd-100654-01-[BiSe]

-3.15344

-3.15272

icsd-635208-10-[CoGa3]

-3.15224

-3.15157

icsd-185626-10-[Al3Ni2]

-3.15216

-3.15507

icsd-659856-01-[LiPt]

-3.13472

-3.13493

icsd-644708-01-[WC]

-3.13472

-3.13493

icsd-16606-10-[Nb3Te4]

-3.1307

-3.13337

icsd-169457-01-[ZrH2]

-3.12121

-3.12107

icsd-638227-01-[Fluorite-CaF2]

-3.12118

-3.12108

icsd-248490-01-[Pt2Si]

-3.12118

-3.12106

icsd-635060-01-[Fersilicite-FeSi]

-3.1211

-3.12289

icsd-611176-10-[Fe2P]

-3.10368

-3.10662

icsd-185626-01-[Al3Ni2]

-3.09505

-3.09203

icsd-105948-10-[InNi2]

-3.09109

-3.09056

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

-3.09109

-3.09056

icsd-629380-01-[Al3Os2]

-3.07736

-3.07802

icsd-239-01-[Cu3Se2]

-3.07638

-3.07462

icsd-59586-10-[Pd5Th3]

-3.0616

-3.06123

icsd-103995-10-[Ga3Ti2]

-3.05905

-3.05826

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

-3.0588

-3.05933

icsd-169457-10-[ZrH2]

-3.04672

-3.04717

icsd-248490-10-[Pt2Si]

-3.04668

-3.04706

icsd-638227-10-[Fluorite-CaF2]

-3.04667

-3.04601

icsd-610464-01-[PbClF/Cu2Sb]

-3.0448

-3.04701

icsd-105726-10-[Pd5Ti3]

-3.02061

-3.02016

icsd-629406-01-[Cu4Ti3]

-3.01207

-3.0119

icsd-30446-10-[Fe2B]

-3.00964

-3.00895

icsd-73839-01-[Ni3S2]

-2.95674

-2.95864

icsd-409859-01-[La2Sb]

-2.95426

-2.95393

icsd-106786-01-[Hg2Pt]

-2.9533

-2.95422

icsd-639148-10-[NiHg4]

-2.93256

-2.93043

icsd-108762-10-[Hg4Pt]

-2.93256

-2.93043

icsd-424636-10-[MnGa4]

-2.93256

-2.93043

icsd-652553-01-[AlCr2-MoSi2]

-2.92323

-2.92384

icsd-58471-10-[CuZr2]

-2.9228

-2.92388

icsd-58607-01-[Au2Ti]

-2.92274

-2.92388

icsd-42472-01-[CoO]

-2.91842

-2.92083

icsd-181788-01-[NaCl]

-2.91842

-2.92073

icsd-240119-01-[AlLi]

-2.91362

-2.91194

icsd-103775-01-[NaTl]

-2.9136

-2.91187

icsd-5258-10-[FeSi2]

-2.85472

-2.85464

icsd-155842-01-[Co5Fe11]

-2.8105

-2.80864

icsd-161109-01-[CoSn]

-2.80894

-2.80948

icsd-16504-10-[CrSi2]

-2.80601

-2.80596

icsd-659829-10-[Al2Li3]

-2.75367

-2.75365

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

-2.74448

-2.74393

icsd-260285-10-[UCl3]

-2.70312

-2.70347

icsd-104506-10-[Ni3Sn]

-2.7031

-2.70345

icsd-649037-10-[Ni3Ti]

-2.68961

-2.69126

icsd-181127-01-[Auricupride-AuCu3]

-2.68421

-2.68443

icsd-648572-10-[CuInPt2]

-2.68421

-2.68443

icsd-609153-10-[AlPt3]

-2.6842

-2.68442

icsd-69199-10-[U3Si]

-2.68419

-2.68443

icsd-99787-01-[Fe3Pt]

-2.68419

-2.68443

icsd-635642-10-[Hg5Mn2]

-2.66658

-2.66575

icsd-635208-01-[CoGa3]

-2.64647

-2.64745

icsd-640726-01-[CuSmP2]

-2.60788

-2.6044

icsd-416747-10-[Al3Zr]

-2.60788

-2.6044

icsd-643301-10-[Au3Cd]

-2.60788

-2.6044

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

-2.56541

-2.56559

icsd-105191-10-[Al3Ti]

-2.55548

-2.55527

icsd-420250-10-[LiPd2Tl]

-2.55548

-2.55527

icsd-42773-01-[IrGe4]

-2.54263

-2.5471

icsd-107998-01-[MoNi4]

-2.53159

-2.53212

icsd-188260-01-[Heusler-AlCu2Mn]

-2.50578

-2.50394

icsd-189695-10-[CuHg2Ti]

-2.50578

-2.50394

icsd-648748-01-[Pd4Se]

-2.49581

-2.49466

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

-2.44779

-2.44789

icsd-167735-01-[Ru2B3]

-2.40558

-2.40528

icsd-424636-01-[MnGa4]

-2.39013

-2.39012

icsd-108762-01-[Hg4Pt]

-2.39013

-2.39012

icsd-639148-01-[NiHg4]

-2.39013

-2.39012

icsd-150584-01-[Fe13Ge3]

-2.32413

-2.3233

icsd-105521-01-[Al5W]

-2.24218

-2.24351

icsd-97006-01-[InMg2]

-2.22562

-2.22514

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

-2.22226

-2.22222

icsd-246555-01-[Co2Nd]

-2.13038

-2.13018

icsd-58745-10-[Fe6Ge6Mg]

-1.80907

-1.82024

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.124

7.281

7.281

7.281

90.0

90.0

90.0

DFT

24.319

7.301

7.301

7.301

90.0

90.0

90.0

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

1

2

3

4

5

6

53.7

50.3

50.3

0.0

0.0

0.0

50.3

53.7

50.3

0.0

0.0

0.0

50.3

50.3

53.7

0.0

0.0

0.0

0.0

0.0

0.0

18.0

0.0

0.0

0.0

0.0

0.0

0.0

18.0

0.0

0.0

0.0

0.0

0.0

0.0

18.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.933

5.133

5.133

7.082

90.0

90.0

120.0

DFT

26.793

5.135

5.135

7.039

90.0

90.0

120.0

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

1

2

3

4

5

6

80.6

35.3

22.9

0.0

0.0

0.0

35.3

80.6

22.9

0.0

0.0

0.0

22.9

22.9

61.5

0.0

0.0

0.0

0.0

0.0

0.0

35.3

0.0

0.0

0.0

0.0

0.0

0.0

35.3

0.0

0.0

0.0

0.0

0.0

0.0

22.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.042

3.611

3.611

4.613

90.0

90.0

120.0

DFT

26.006

3.605

3.605

4.621

90.0

90.0

120.0

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

1

2

3

4

5

6

35.0

30.5

25.8

0.0

0.0

0.0

30.5

35.0

25.8

0.0

0.0

0.0

25.8

25.8

114.0

0.0

0.0

0.0

0.0

0.0

0.0

32.6

0.0

0.0

0.0

0.0

0.0

0.0

32.6

0.0

0.0

0.0

0.0

0.0

0.0

2.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

34.003

9.49

9.49

3.776

90.0

90.0

90.0

DFT

34.339

9.594

9.594

3.731

90.0

90.0

90.0

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

1

2

3

4

5

6

38.9

33.0

28.7

0.0

0.0

7.2

33.0

38.9

28.7

0.0

0.0

-7.2

28.7

28.7

60.0

0.0

0.0

0.0

0.0

0.0

0.0

16.5

0.0

0.0

0.0

0.0

0.0

0.0

16.5

0.0

7.2

-7.2

0.0

0.0

0.0

15.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.957

4.264

4.264

9.223

90.0

90.0

90.0

DFT

20.873

4.285

4.285

9.092

90.0

90.0

90.0

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

1

2

3

4

5

6

80.3

57.0

41.8

0.0

0.0

0.0

57.0

80.3

41.8

0.0

0.0

0.0

41.8

41.8

86.3

0.0

0.0

0.0

0.0

0.0

0.0

1.0

0.0

0.0

0.0

0.0

0.0

0.0

1.0

0.0

0.0

0.0

0.0

0.0

0.0

53.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.124

3.64

3.64

3.64

90.0

90.0

90.0

DFT

24.383

3.653

3.653

3.653

90.0

90.0

90.0

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

1

2

3

4

5

6

53.7

50.3

50.3

0.0

0.0

0.0

50.3

53.7

50.3

0.0

0.0

0.0

50.3

50.3

53.7

0.0

0.0

0.0

0.0

0.0

0.0

18.0

0.0

0.0

0.0

0.0

0.0

0.0

18.0

0.0

0.0

0.0

0.0

0.0

0.0

18.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.744

4.863

4.863

4.863

90.0

90.0

90.0

DFT

28.82

4.867

4.867

4.867

90.0

90.0

90.0

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

1

2

3

4

5

6

62.4

12.9

12.9

0.0

0.0

0.0

12.9

62.4

12.9

0.0

0.0

0.0

12.9

12.9

62.4

0.0

0.0

0.0

0.0

0.0

0.0

35.4

0.0

0.0

0.0

0.0

0.0

0.0

35.4

0.0

0.0

0.0

0.0

0.0

0.0

35.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.494

4.708

4.708

7.713

90.0

90.0

90.0

DFT

29.545

4.809

4.809

7.665

90.0

90.0

90.0

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

1

2

3

4

5

6

80.0

23.9

46.6

0.0

0.0

0.0

23.9

80.0

46.6

0.0

0.0

0.0

46.6

46.6

105.0

0.0

0.0

0.0

0.0

0.0

0.0

24.7

0.0

0.0

0.0

0.0

0.0

0.0

24.7

0.0

0.0

0.0

0.0

0.0

0.0

30.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.825

4.306

4.306

17.969

90.0

90.0

90.0

DFT

20.757

4.314

4.314

17.842

90.0

90.0

90.0

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

1

2

3

4

5

6

90.0

46.3

43.1

0.0

0.0

0.0

46.3

90.0

43.1

0.0

0.0

0.0

43.1

43.1

103.5

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

0.0

0.0

0.0

0.0

0.0

48.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.659

5.899

5.899

5.899

90.0

90.0

90.0

DFT

25.565

5.892

5.892

5.892

90.0

90.0

90.0

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

1

2

3

4

5

6

38.7

55.3

-30222.1

0.0

0.0

0.0

55.3

35.5

-30224.5

0.0

0.0

0.0

-30222.1

-30224.5

30116.0

0.0

0.0

-100076.8

0.0

0.0

0.0

-400281.7

0.0

0.0

0.0

0.0

0.0

0.0

-400281.7

0.0

0.0

0.0

-100076.8

0.0

0.0

-400282.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.098

7.77

7.77

4.488

90.0

90.0

90.0

DFT

27.208

7.85

7.85

4.415

90.0

90.0

90.0

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

1

2

3

4

5

6

74.2

27.7

21.4

0.0

0.0

0.0

27.7

74.2

21.4

0.0

0.0

0.0

21.4

21.4

62.6

0.0

0.0

0.0

0.0

0.0

0.0

25.6

0.0

0.0

0.0

0.0

0.0

0.0

25.6

0.0

0.0

0.0

0.0

0.0

0.0

23.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.062

7.481

7.481

4.962

90.0

90.0

120.0

DFT

28.687

7.011

7.011

5.391

90.0

90.0

120.0

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

1

2

3

4

5

6

28.7

26.1

35.0

0.0

0.0

0.0

26.1

28.7

35.0

0.0

0.0

0.0

35.0

35.0

83.3

0.0

0.0

0.0

0.0

0.0

0.0

31.7

0.0

0.0

0.0

0.0

0.0

0.0

31.7

0.0

0.0

0.0

0.0

0.0

0.0

1.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.467

4.083

16.748

6.454

86.2

90.0

90.0

DFT

24.332

4.061

16.5

6.536

90.0

90.0

90.0

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

1

2

3

4

5

6

115.4

49.5

39.6

-5.4

0.0

0.0

49.5

87.8

39.4

-5.6

0.0

0.0

39.6

39.4

92.6

-2.8

0.0

0.0

-5.4

-5.6

-2.8

12.4

0.0

0.0

0.0

0.0

0.0

0.0

15.1

-0.5

0.0

0.0

0.0

0.0

-0.5

33.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.04

4.941

4.941

6.153

90.0

90.0

90.0

DFT

24.573

4.749

4.749

6.536

90.0

90.0

90.0

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

1

2

3

4

5

6

64.7

45.1

51.4

0.0

0.0

0.0

45.1

64.7

51.4

0.0

0.0

0.0

51.4

51.4

113.8

0.0

0.0

0.0

0.0

0.0

0.0

12.8

0.0

0.0

0.0

0.0

0.0

0.0

12.8

0.0

0.0

0.0

0.0

0.0

0.0

7.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.414

6.263

6.263

5.043

90.0

90.0

120.0

DFT

21.656

6.296

6.296

5.046

90.0

90.0

120.0

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

1

2

3

4

5

6

66.6

33.7

34.5

0.0

0.0

0.0

33.7

66.6

34.5

0.0

0.0

0.0

34.5

34.5

85.1

0.0

0.0

0.0

0.0

0.0

0.0

18.9

0.0

0.0

0.0

0.0

0.0

0.0

18.9

0.0

0.0

0.0

0.0

0.0

0.0

16.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.941

6.219

6.219

10.004

90.0

90.0

120.0

DFT

21.205

6.25

6.25

10.028

90.0

90.0

120.0

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

1

2

3

4

5

6

80.7

25.2

30.5

0.0

0.0

0.0

25.2

80.7

30.5

0.0

0.0

0.0

30.5

30.5

82.7

0.0

0.0

0.0

0.0

0.0

0.0

32.9

0.0

0.0

0.0

0.0

0.0

0.0

32.9

0.0

0.0

0.0

0.0

0.0

0.0

27.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.633

7.831

7.831

4.683

90.0

90.0

120.0

DFT

28.456

7.98

7.98

4.644

90.0

90.0

120.0

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

1

2

3

4

5

6

78.2

41.7

39.4

0.0

0.0

0.0

41.7

78.2

39.4

0.0

0.0

0.0

39.4

39.4

100.8

0.0

0.0

0.0

0.0

0.0

0.0

37.8

0.0

0.0

0.0

0.0

0.0

0.0

37.8

0.0

0.0

0.0

0.0

0.0

0.0

18.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.094

7.543

7.543

3.707

90.0

90.0

90.0

DFT

21.741

7.57

7.57

3.794

90.0

90.0

90.0

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

1

2

3

4

5

6

60.2

7.7

12.0

0.0

0.0

-7.0

7.7

60.2

12.0

0.0

0.0

7.0

12.0

12.0

48.8

0.0

0.0

0.0

0.0

0.0

0.0

23.5

0.0

0.0

0.0

0.0

0.0

0.0

23.5

0.0

-7.0

7.0

0.0

0.0

0.0

30.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.678

8.245

5.197

8.167

90.0

90.0

108.37

DFT

31.497

6.649

6.649

9.873

90.0

90.0

120.0

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

1

2

3

4

5

6

73.0

17.5

37.8

0.0

0.0

5.1

17.5

46.8

30.5

0.0

0.0

1.3

37.8

30.5

53.3

0.0

0.0

1.8

0.0

0.0

0.0

10.7

-31.9

0.0

0.0

0.0

0.0

-31.9

-75.0

0.0

5.1

1.3

1.8

0.0

0.0

18.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.968

6.016

4.358

8.828

90.0

90.0

111.23

DFT

23.425

5.608

5.608

7.74

90.0

90.0

120.0

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

1

2

3

4

5

6

96.7

49.4

17.8

0.0

0.0

-12.8

49.4

105.2

14.1

0.0

0.0

8.9

17.8

14.1

39.7

0.0

0.0

1.7

0.0

0.0

0.0

26022.6

46481.2

0.0

0.0

0.0

0.0

46481.2

66966.0

0.0

-12.8

8.9

1.7

0.0

0.0

27.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.924

7.053

7.053

7.053

90.0

90.0

90.0

DFT

22.039

7.065

7.065

7.065

90.0

90.0

90.0

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

1

2

3

4

5

6

52.7

105.3

105.3

0.0

0.0

0.0

105.3

52.7

105.3

0.0

0.0

0.0

105.3

105.3

52.7

0.0

0.0

0.0

0.0

0.0

0.0

-20.1

0.0

0.0

0.0

0.0

0.0

0.0

-20.1

0.0

0.0

0.0

0.0

0.0

0.0

-20.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.907

5.763

5.763

6.248

90.0

90.0

138.52

DFT

22.763

5.098

5.098

6.068

90.0

90.0

120.0

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

1

2

3

4

5

6

77.8

30.3

20.6

0.0

0.0

9.4

30.3

75.4

21.4

0.0

0.0

-10.4

20.6

21.4

48.2

0.0

0.0

0.4

0.0

0.0

0.0

20.6

4.2

0.0

0.0

0.0

0.0

4.2

11.1

0.0

9.4

-10.4

0.4

0.0

0.0

25.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.67

4.356

4.356

4.356

90.0

90.0

90.0

DFT

20.681

4.357

4.357

4.357

90.0

90.0

90.0

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

1

2

3

4

5

6

110.6

35.8

35.8

0.0

0.0

0.0

35.8

110.6

35.8

0.0

0.0

0.0

35.8

35.8

110.6

0.0

0.0

0.0

0.0

0.0

0.0

47.5

0.0

0.0

0.0

0.0

0.0

0.0

47.5

0.0

0.0

0.0

0.0

0.0

0.0

47.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.325

3.647

3.647

9.141

90.0

90.0

120.0

DFT

26.266

3.647

3.647

9.123

90.0

90.0

120.0

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

1

2

3

4

5

6

40.0

34.7

30.8

0.0

0.0

0.0

34.7

40.0

30.8

0.0

0.0

0.0

30.8

30.8

120.9

0.0

0.0

0.0

0.0

0.0

0.0

33.0

0.0

0.0

0.0

0.0

0.0

0.0

33.0

0.0

0.0

0.0

0.0

0.0

0.0

2.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.545

4.91

4.91

9.804

90.0

90.0

90.0

DFT

29.467

4.92

4.92

9.74

90.0

90.0

90.0

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

1

2

3

4

5

6

-3.9

71.1

14.3

0.0

0.0

0.0

71.1

-3.9

14.3

0.0

0.0

0.0

14.3

14.3

39.2

0.0

0.0

0.0

0.0

0.0

0.0

9.9

0.0

0.0

0.0

0.0

0.0

0.0

9.9

0.0

0.0

0.0

0.0

0.0

0.0

34.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.731

8.562

8.562

3.51

90.0

90.0

90.0

DFT

26.695

8.048

8.048

4.121

90.0

90.0

90.0

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

1

2

3

4

5

6

12.9

105.9

41.9

0.0

0.0

0.0

105.9

12.9

41.9

0.0

0.0

0.0

41.9

41.9

52.0

0.0

0.0

0.0

0.0

0.0

0.0

17.0

0.0

0.0

0.0

0.0

0.0

0.0

17.0

0.0

0.0

0.0

0.0

0.0

0.0

37.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.31

5.67

5.67

9.614

90.0

90.0

120.0

DFT

22.024

5.606

5.606

9.712

90.0

90.0

120.0

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

1

2

3

4

5

6

68.6

24.5

31.8

0.0

0.0

0.0

24.5

68.6

31.8

0.0

0.0

0.0

31.8

31.8

99.4

0.0

0.0

0.0

0.0

0.0

0.0

10.2

0.0

0.0

0.0

0.0

0.0

0.0

10.2

0.0

0.0

0.0

0.0

0.0

0.0

22.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.632

5.65

5.65

8.995

90.0

90.0

120.0

DFT

27.602

5.635

5.635

9.035

90.0

90.0

120.0

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

1

2

3

4

5

6

55.2

36.2

21.3

0.0

0.0

0.0

36.2

55.2

21.3

0.0

0.0

0.0

21.3

21.3

71.1

0.0

0.0

0.0

0.0

0.0

0.0

-7396.7

-16650.6

0.0

0.0

0.0

0.0

-16650.6

-116860.1

0.0

0.0

0.0

0.0

0.0

0.0

9.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.235

7.391

7.391

7.391

90.0

90.0

90.0

DFT

25.151

7.383

7.383

7.383

90.0

90.0

90.0

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

1

2

3

4

5

6

34.9

62.6

62.6

0.0

0.0

0.0

62.6

34.9

62.6

0.0

0.0

0.0

62.6

62.6

34.9

0.0

0.0

0.0

0.0

0.0

0.0

-428230.3

0.0

0.0

0.0

0.0

0.0

0.0

-428230.3

0.0

0.0

0.0

0.0

0.0

0.0

-428230.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.573

6.951

6.951

10.925

90.0

90.0

120.0

DFT

28.692

6.915

6.915

11.087

90.0

90.0

120.0

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

1

2

3

4

5

6

66.3

13.7

16.1

0.0

0.0

0.0

13.7

66.3

16.1

0.0

0.0

0.0

16.1

16.1

69.5

0.0

0.0

0.0

0.0

0.0

0.0

22.6

0.0

0.0

0.0

0.0

0.0

0.0

22.6

0.0

0.0

0.0

0.0

0.0

0.0

26.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.166

4.907

4.907

19.383

90.0

90.0

90.0

DFT

29.377

4.935

4.935

19.297

90.0

90.0

90.0

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

1

2

3

4

5

6

37.9

24.1

11.3

0.0

0.0

0.0

24.1

37.9

11.3

0.0

0.0

0.0

11.3

11.3

23.3

0.0

0.0

0.0

0.0

0.0

0.0

17.5

0.0

0.0

0.0

0.0

0.0

0.0

17.5

0.0

0.0

0.0

0.0

0.0

0.0

32.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.635

3.326

3.326

4.274

90.0

90.0

90.0

DFT

23.537

3.318

3.318

4.276

90.0

90.0

90.0

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

1

2

3

4

5

6

82.8

7.8

29.7

0.0

0.0

0.0

7.8

82.8

29.7

0.0

0.0

0.0

29.7

29.7

89.4

0.0

0.0

0.0

0.0

0.0

0.0

28.6

0.0

0.0

0.0

0.0

0.0

0.0

28.6

0.0

0.0

0.0

0.0

0.0

0.0

26.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.438

7.781

7.781

7.781

90.0

90.0

90.0

DFT

29.653

7.799

7.799

7.799

90.0

90.0

90.0

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

1

2

3

4

5

6

21.5

25.4

25.4

0.0

0.0

0.0

25.4

21.5

25.4

0.0

0.0

0.0

25.4

25.4

21.5

0.0

0.0

0.0

0.0

0.0

0.0

13.5

0.0

0.0

0.0

0.0

0.0

0.0

13.5

0.0

0.0

0.0

0.0

0.0

0.0

13.5