gtinv-436 (Mg-Sc-2022-06-12)

Energy distribution

../../../../_images/distribution777.png

Convex hull (formation energy)

../../../../_images/convex777.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Mg

0.25

-0.0338

icsd-104506-10-[Ni3Sn]

0.25

-0.0338

icsd-260285-10-[UCl3]

0.4286

-0.0358

icsd-629406-01-[Cu4Ti3]

0.5714

-0.0326

icsd-629406-10-[Cu4Ti3]

0.6

-0.0319

icsd-629380-10-[Al3Os2]

1.0

0.0

Sc

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-sep777.png

Prototype structure energy

../../../../_images/icsd-pred777.png

Phonon density of states

../../../../_images/dos777.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-97006-10-[InMg2]

-3.90577

-3.90633

icsd-105521-10-[Al5W]

-3.72605

-3.72536

icsd-58745-01-[Fe6Ge6Mg]

-3.69282

-3.69483

icsd-167735-10-[Ru2B3]

-3.65218

-3.65191

icsd-150584-10-[Fe13Ge3]

-3.63995

-3.63628

icsd-107998-10-[MoNi4]

-3.63024

-3.62998

icsd-42773-10-[IrGe4]

-3.54829

-3.54337

icsd-260285-01-[UCl3]

-3.52198

-3.52182

icsd-104506-01-[Ni3Sn]

-3.52198

-3.52182

icsd-649037-01-[Ni3Ti]

-3.51761

-3.51245

icsd-181127-10-[Auricupride-AuCu3]

-3.50056

-3.50023

icsd-99787-10-[Fe3Pt]

-3.50056

-3.50021

icsd-648572-01-[CuInPt2]

-3.50056

-3.50023

icsd-69199-01-[U3Si]

-3.50056

-3.50023

icsd-609153-01-[AlPt3]

-3.50056

-3.50023

icsd-648748-10-[Pd4Se]

-3.49697

-3.49598

icsd-643301-01-[Au3Cd]

-3.49366

-3.49279

icsd-640726-10-[CuSmP2]

-3.49366

-3.49279

icsd-416747-01-[Al3Zr]

-3.49364

-3.49279

icsd-420250-01-[LiPd2Tl]

-3.48158

-3.48146

icsd-105191-01-[Al3Ti]

-3.48157

-3.48147

icsd-188260-10-[Heusler-AlCu2Mn]

-3.47124

-3.47094

icsd-189695-01-[CuHg2Ti]

-3.47124

-3.47093

icsd-155842-10-[Co5Fe11]

-3.33851

-3.34059

icsd-58471-01-[CuZr2]

-3.33299

-3.33219

icsd-58607-10-[Au2Ti]

-3.33269

-3.33245

icsd-652553-10-[AlCr2-MoSi2]

-3.33268

-3.33245

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

-3.2898

-3.28984

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

-3.26572

-3.26612

icsd-105948-01-[InNi2]

-3.26572

-3.26612

icsd-611176-01-[Fe2P]

-3.25936

-3.26423

icsd-635642-01-[Hg5Mn2]

-3.22814

-3.2304

icsd-105726-01-[Pd5Ti3]

-3.21888

-3.21912

icsd-16504-01-[CrSi2]

-3.21393

-3.21314

icsd-629380-10-[Al3Os2]

-3.15114

-3.15122

icsd-635208-10-[CoGa3]

-3.12978

-3.13488

icsd-59586-01-[Pd5Th3]

-3.12901

-3.12823

icsd-30446-01-[Fe2B]

-3.12484

-3.12468

icsd-103995-01-[Ga3Ti2]

-3.11872

-3.11877

icsd-246555-10-[Co2Nd]

-3.10707

-3.10736

icsd-409859-10-[La2Sb]

-3.10247

-3.10236

icsd-610464-10-[PbClF/Cu2Sb]

-3.10208

-3.10072

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

-3.09587

-3.09611

icsd-629406-10-[Cu4Ti3]

-3.08784

-3.0879

icsd-659829-01-[Al2Li3]

-3.07269

-3.07402

icsd-5258-01-[FeSi2]

-3.06706

-3.067

icsd-639879-10-[In5In4]

-3.01306

-3.01287

icsd-639227-10-[Si2U3]

-3.00218

-3.00205

icsd-239-10-[Cu3Se2]

-2.96718

-2.96699

icsd-108762-10-[Hg4Pt]

-2.91346

-2.91427

icsd-639148-10-[NiHg4]

-2.91346

-2.91427

icsd-424636-10-[MnGa4]

-2.91341

-2.91424

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

-2.90858

-2.90817

icsd-650527-01-[CsCl]

-2.89656

-2.89645

icsd-106325-01-[BiIn]

-2.89656

-2.89644

icsd-102712-01-[CoU]

-2.89656

-2.89646

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

-2.89655

-2.89644

icsd-108707-01-[HgMn]

-2.89654

-2.89644

icsd-59508-01-[AuCu]

-2.89654

-2.89643

icsd-42428-01-[Fe3Pt]

-2.89653

-2.89644

icsd-106786-10-[Hg2Pt]

-2.85096

-2.85345

icsd-626692-01-[Nickeline-NiAs]

-2.84412

-2.84436

icsd-168897-01-[LaI]

-2.84412

-2.84435

icsd-611618-01-[TiAs]

-2.84316

-2.84321

icsd-618702-01-[ScTe]

-2.84316

-2.84321

icsd-100654-01-[BiSe]

-2.8429

-2.84314

icsd-639037-01-[HgIn]

-2.84189

-2.84206

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

-2.84189

-2.84206

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

-2.84189

-2.84206

icsd-185626-10-[Al3Ni2]

-2.84023

-2.83961

icsd-611457-01-[NbAs]

-2.80336

-2.80367

icsd-105636-01-[PbU]

-2.80336

-2.80367

icsd-618295-01-[MoC1-x]

-2.78678

-2.78676

icsd-240119-01-[AlLi]

-2.78477

-2.78592

icsd-103775-01-[NaTl]

-2.78477

-2.78592

icsd-659856-01-[LiPt]

-2.78474

-2.7842

icsd-644708-01-[WC]

-2.7846

-2.7842

icsd-55492-01-[BaPt]

-2.78121

-2.78059

icsd-638227-10-[Fluorite-CaF2]

-2.76224

-2.76238

icsd-248490-10-[Pt2Si]

-2.76223

-2.76237

icsd-169457-10-[ZrH2]

-2.7622

-2.76234

icsd-16606-01-[Nb3Te4]

-2.74262

-2.74226

icsd-629406-01-[Cu4Ti3]

-2.70608

-2.70615

icsd-635060-01-[Fersilicite-FeSi]

-2.70504

-2.70491

icsd-16606-10-[Nb3Te4]

-2.67369

-2.6728

icsd-639879-01-[In5In4]

-2.67259

-2.67268

icsd-629380-01-[Al3Os2]

-2.61168

-2.61195

icsd-103995-10-[Ga3Ti2]

-2.59912

-2.59908

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

-2.58742

-2.58732

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

-2.57737

-2.57773

icsd-659829-10-[Al2Li3]

-2.5718

-2.57227

icsd-105726-10-[Pd5Ti3]

-2.54836

-2.54838

icsd-73839-10-[Ni3S2]

-2.54481

-2.54715

icsd-161109-01-[CoSn]

-2.44493

-2.44404

icsd-59586-10-[Pd5Th3]

-2.44362

-2.44325

icsd-58471-10-[CuZr2]

-2.4396

-2.43947

icsd-652553-01-[AlCr2-MoSi2]

-2.4396

-2.43947

icsd-58607-01-[Au2Ti]

-2.43959

-2.43947

icsd-639227-01-[Si2U3]

-2.41259

-2.41245

icsd-42472-01-[CoO]

-2.40327

-2.40332

icsd-181788-01-[NaCl]

-2.40317

-2.40331

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

-2.39709

-2.39714

icsd-105948-10-[InNi2]

-2.39709

-2.39714

icsd-239-01-[Cu3Se2]

-2.39197

-2.392

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

-2.38921

-2.38929

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

-2.38448

-2.38451

icsd-246555-01-[Co2Nd]

-2.38017

-2.38

icsd-155842-01-[Co5Fe11]

-2.37852

-2.37821

icsd-185626-01-[Al3Ni2]

-2.34436

-2.34372

icsd-611176-10-[Fe2P]

-2.3325

-2.33332

icsd-16504-10-[CrSi2]

-2.32804

-2.32815

icsd-610464-01-[PbClF/Cu2Sb]

-2.27785

-2.27811

icsd-409859-01-[La2Sb]

-2.27464

-2.27466

icsd-5258-10-[FeSi2]

-2.27409

-2.27383

icsd-260285-10-[UCl3]

-2.21909

-2.21906

icsd-104506-10-[Ni3Sn]

-2.21908

-2.21906

icsd-648572-10-[CuInPt2]

-2.2172

-2.21692

icsd-181127-01-[Auricupride-AuCu3]

-2.2172

-2.21692

icsd-609153-10-[AlPt3]

-2.2172

-2.21693

icsd-99787-01-[Fe3Pt]

-2.21718

-2.21694

icsd-69199-10-[U3Si]

-2.21717

-2.2169

icsd-420250-10-[LiPd2Tl]

-2.2151

-2.21511

icsd-105191-10-[Al3Ti]

-2.2151

-2.21511

icsd-189695-10-[CuHg2Ti]

-2.21509

-2.21511

icsd-188260-01-[Heusler-AlCu2Mn]

-2.21509

-2.21511

icsd-649037-10-[Ni3Ti]

-2.21503

-2.21442

icsd-640726-01-[CuSmP2]

-2.20084

-2.20001

icsd-416747-10-[Al3Zr]

-2.20084

-2.20001

icsd-643301-10-[Au3Cd]

-2.20081

-2.2

icsd-635642-10-[Hg5Mn2]

-2.18048

-2.17977

icsd-30446-10-[Fe2B]

-2.15063

-2.15066

icsd-73839-01-[Ni3S2]

-2.11432

-2.11531

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

-2.06223

-2.06286

icsd-106786-01-[Hg2Pt]

-2.04983

-2.04966

icsd-167735-01-[Ru2B3]

-2.04248

-2.04236

icsd-150584-01-[Fe13Ge3]

-2.02817

-2.02816

icsd-107998-01-[MoNi4]

-2.02424

-2.0242

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

-1.98862

-1.98828

icsd-105521-01-[Al5W]

-1.93897

-1.9389

icsd-42773-01-[IrGe4]

-1.93835

-1.93659

icsd-169457-01-[ZrH2]

-1.8395

-1.83928

icsd-248490-01-[Pt2Si]

-1.83947

-1.83926

icsd-638227-01-[Fluorite-CaF2]

-1.83947

-1.83928

icsd-635208-01-[CoGa3]

-1.81652

-1.81458

icsd-648748-01-[Pd4Se]

-1.77422

-1.77407

icsd-97006-01-[InMg2]

-1.76405

-1.764

icsd-58745-10-[Fe6Ge6Mg]

-1.64664

-1.64655

icsd-639148-01-[NiHg4]

-1.45271

-1.45268

icsd-108762-01-[Hg4Pt]

-1.45271

-1.45268

icsd-424636-01-[MnGa4]

-1.45271

-1.45268

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.083

3.587

3.587

3.587

90.0

90.0

90.0

DFT

23.067

3.587

3.587

3.587

90.0

90.0

90.0

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

1

2

3

4

5

6

75.6

42.3

42.3

0.0

0.0

0.0

42.3

75.6

42.3

0.0

0.0

0.0

42.3

42.3

75.6

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.719

5.086

5.086

6.085

90.0

90.0

120.0

DFT

22.771

5.088

5.088

6.095

90.0

90.0

120.0

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

1

2

3

4

5

6

96.6

43.3

8.9

0.0

0.0

0.0

43.3

96.6

8.9

0.0

0.0

0.0

8.9

8.9

121.2

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

26.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.083

3.587

3.587

3.587

90.0

90.0

90.0

DFT

23.751

3.195

3.195

5.374

90.0

90.0

120.0

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

1

2

3

4

5

6

75.6

42.3

42.3

0.0

0.0

0.0

42.3

75.6

42.3

0.0

0.0

0.0

42.3

42.3

75.6

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.778

6.002

7.811

4.999

90.0

90.0

103.62

DFT

23.05

6.983

6.983

4.727

90.0

90.0

90.0

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

1

2

3

4

5

6

71.1

24.7

39.9

0.0

0.0

-10.7

24.7

115.1

10.0

0.0

0.0

10.1

39.9

10.0

105.8

0.0

0.0

11.6

0.0

0.0

0.0

19.5

17.7

0.0

0.0

0.0

0.0

17.7

41.6

0.0

-10.7

10.1

11.6

0.0

0.0

23.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.925

4.495

4.495

9.472

90.0

90.0

90.0

DFT

23.829

4.604

4.604

8.994

90.0

90.0

90.0

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

1

2

3

4

5

6

50.9

53.0

38.4

0.0

0.0

0.0

53.0

50.9

38.4

0.0

0.0

0.0

38.4

38.4

62.6

0.0

0.0

0.0

0.0

0.0

0.0

33.4

0.0

0.0

0.0

0.0

0.0

0.0

33.4

0.0

0.0

0.0

0.0

0.0

0.0

39.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.083

3.587

3.587

3.587

90.0

90.0

90.0

DFT

23.08

3.587

3.587

3.587

90.0

90.0

90.0

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

1

2

3

4

5

6

75.6

42.3

42.3

0.0

0.0

0.0

42.3

75.6

42.3

0.0

0.0

0.0

42.3

42.3

75.6

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.882

4.507

4.507

4.507

90.0

90.0

90.0

DFT

22.89

4.507

4.507

4.507

90.0

90.0

90.0

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

1

2

3

4

5

6

54.4

39.2

39.2

0.0

0.0

0.0

39.2

54.4

39.2

0.0

0.0

0.0

39.2

39.2

54.4

0.0

0.0

0.0

0.0

0.0

0.0

42.2

0.0

0.0

0.0

0.0

0.0

0.0

42.2

0.0

0.0

0.0

0.0

0.0

0.0

42.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.049

3.156

4.976

8.806

90.0

90.0

90.0

DFT

23.853

4.168

4.168

8.239

90.0

90.0

90.0

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

1

2

3

4

5

6

77.0

30.6

26.4

0.0

0.0

0.0

30.6

90.0

19.1

0.0

0.0

0.0

26.4

19.1

69.4

0.0

0.0

0.0

0.0

0.0

0.0

33.2

0.0

0.0

0.0

0.0

0.0

0.0

22.1

0.0

0.0

0.0

0.0

0.0

0.0

33.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.808

4.526

4.526

18.599

90.0

90.0

90.0

DFT

23.848

4.589

4.589

18.121

90.0

90.0

90.0

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

1

2

3

4

5

6

56.9

44.5

38.4

0.0

0.0

0.0

44.5

56.9

38.4

0.0

0.0

0.0

38.4

38.4

57.4

0.0

0.0

0.0

0.0

0.0

0.0

35.0

0.0

0.0

0.0

0.0

0.0

0.0

35.0

0.0

0.0

0.0

0.0

0.0

0.0

37.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.176

5.783

5.783

5.783

90.0

90.0

90.0

DFT

24.176

5.783

5.783

5.783

90.0

90.0

90.0

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

1

2

3

4

5

6

13.1

67.5

67.5

0.0

0.0

0.0

67.5

13.1

67.5

0.0

0.0

0.0

67.5

67.5

13.1

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

-18.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.643

8.536

8.536

3.382

90.0

90.0

90.0

DFT

24.611

8.499

8.499

3.407

90.0

90.0

90.0

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

1

2

3

4

5

6

-179948.1

-179970.9

-20872.7

0.0

0.0

5.6

-179970.9

-179948.2

-20872.7

0.0

0.0

-5.6

-20872.7

-20872.7

66.0

0.0

0.0

0.0

0.0

0.0

0.0

24.0

0.0

0.0

0.0

0.0

0.0

0.0

24.0

0.0

5.6

-5.6

0.0

0.0

0.0

14.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.816

6.431

6.431

5.097

90.0

90.0

120.0

DFT

22.808

6.433

6.433

5.092

90.0

90.0

120.0

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

1

2

3

4

5

6

67.8

38.9

17.2

0.0

0.0

0.0

38.9

67.8

17.2

0.0

0.0

0.0

17.2

17.2

100.9

0.0

0.0

0.0

0.0

0.0

0.0

24.1

0.0

0.0

0.0

0.0

0.0

0.0

24.1

0.0

0.0

0.0

0.0

0.0

0.0

14.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.749

3.133

15.32

8.905

90.0

90.0

90.0

DFT

23.841

3.135

15.356

8.913

90.0

90.0

90.0

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

1

2

3

4

5

6

87.7

32.0

29.5

0.0

0.0

0.0

32.0

79.3

34.1

0.0

0.0

0.0

29.5

34.1

97.5

0.0

0.0

0.0

0.0

0.0

0.0

24.5

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

10.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.215

5.089

3.402

8.223

101.94

90.0

90.0

DFT

25.17

4.392

4.392

7.829

90.0

90.0

90.0

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

1

2

3

4

5

6

107.9

46.2

16.3

0.0

0.0

0.0

46.2

100.0

61.5

0.0

0.0

0.0

16.3

61.5

75.7

0.0

0.0

0.0

0.0

0.0

0.0

45.0

0.0

0.0

0.0

0.0

0.0

0.0

20.8

2.2

0.0

0.0

0.0

0.0

2.2

38.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.727

6.493

6.493

5.199

90.0

90.0

120.0

DFT

23.782

6.491

6.491

5.214

90.0

90.0

120.0

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

1

2

3

4

5

6

104.1

48.6

31.1

0.0

0.0

0.0

48.6

104.1

31.1

0.0

0.0

0.0

31.1

31.1

82.0

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

27.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.898

6.482

6.482

10.507

90.0

90.0

120.0

DFT

23.796

6.479

6.479

10.472

90.0

90.0

120.0

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

1

2

3

4

5

6

95.1

47.0

35.3

0.0

0.0

0.0

47.0

95.1

35.3

0.0

0.0

0.0

35.3

35.3

102.1

0.0

0.0

0.0

0.0

0.0

0.0

25.3

0.0

0.0

0.0

0.0

0.0

0.0

25.3

0.0

0.0

0.0

0.0

0.0

0.0

24.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.176

8.881

8.881

3.054

90.0

90.0

120.0

DFT

23.248

8.91

8.91

3.044

90.0

90.0

120.0

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

1

2

3

4

5

6

87.8

29.1

15.9

0.0

0.0

0.0

29.1

87.8

15.9

0.0

0.0

0.0

15.9

15.9

77.2

0.0

0.0

0.0

0.0

0.0

0.0

-23.3

0.0

0.0

0.0

0.0

0.0

0.0

-23.3

0.0

0.0

0.0

0.0

0.0

0.0

29.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.058

7.235

7.235

4.596

90.0

90.0

90.0

DFT

24.062

7.172

7.172

4.678

90.0

90.0

90.0

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

1

2

3

4

5

6

71.3

34.4

39.7

0.0

0.0

-14.3

34.4

71.3

39.7

0.0

0.0

14.3

39.7

39.7

63.7

0.0

0.0

0.0

0.0

0.0

0.0

36.2

0.0

0.0

0.0

0.0

0.0

0.0

36.2

0.0

-14.3

14.3

0.0

0.0

0.0

24.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.202

5.835

5.835

9.443

90.0

90.0

120.0

DFT

23.221

5.835

5.835

9.449

90.0

90.0

120.0

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

1

2

3

4

5

6

78.3

28.9

30.5

0.0

0.0

0.0

28.9

78.3

30.5

0.0

0.0

0.0

30.5

30.5

87.8

0.0

0.0

0.0

0.0

0.0

0.0

19.5

0.0

0.0

0.0

0.0

0.0

0.0

19.5

0.0

0.0

0.0

0.0

0.0

0.0

24.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.798

5.555

5.555

8.016

90.0

90.0

120.0

DFT

23.723

5.539

5.539

8.034

90.0

90.0

120.0

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

1

2

3

4

5

6

82.3

38.8

17.3

0.0

0.0

0.0

38.8

82.3

17.3

0.0

0.0

0.0

17.3

17.3

107.0

0.0

0.0

0.0

0.0

0.0

0.0

-43.7

0.0

0.0

0.0

0.0

0.0

0.0

-43.7

0.0

0.0

0.0

0.0

0.0

0.0

21.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.568

7.225

7.225

7.225

90.0

90.0

90.0

DFT

23.703

7.238

7.238

7.238

90.0

90.0

90.0

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

1

2

3

4

5

6

59.0

34.3

34.3

0.0

0.0

0.0

34.3

59.0

34.3

0.0

0.0

0.0

34.3

34.3

59.0

0.0

0.0

0.0

0.0

0.0

0.0

43.8

0.0

0.0

0.0

0.0

0.0

0.0

43.8

0.0

0.0

0.0

0.0

0.0

0.0

43.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.617

5.097

5.097

6.297

90.0

90.0

120.0

DFT

23.787

5.085

5.085

6.372

90.0

90.0

120.0

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

1

2

3

4

5

6

90.9

31.7

30.2

0.0

0.0

0.0

31.7

90.9

30.2

0.0

0.0

0.0

30.2

30.2

108.4

0.0

0.0

0.0

0.0

0.0

0.0

19.1

0.0

0.0

0.0

0.0

0.0

0.0

19.1

0.0

0.0

0.0

0.0

0.0

0.0

29.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.829

4.568

4.568

4.568

90.0

90.0

90.0

DFT

23.834

4.568

4.568

4.568

90.0

90.0

90.0

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

1

2

3

4

5

6

52.5

37.2

37.2

0.0

0.0

0.0

37.2

52.5

37.2

0.0

0.0

0.0

37.2

37.2

52.5

0.0

0.0

0.0

0.0

0.0

0.0

35.2

0.0

0.0

0.0

0.0

0.0

0.0

35.2

0.0

0.0

0.0

0.0

0.0

0.0

35.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.768

3.249

3.249

10.399

90.0

90.0

120.0

DFT

23.777

3.248

3.248

10.409

90.0

90.0

120.0

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

1

2

3

4

5

6

79.6

39.3

37.3

0.0

0.0

0.0

39.3

79.6

37.3

0.0

0.0

0.0

37.3

37.3

98.5

0.0

0.0

0.0

0.0

0.0

0.0

33.7

0.0

0.0

0.0

0.0

0.0

0.0

33.7

0.0

0.0

0.0

0.0

0.0

0.0

20.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.501

5.03

5.03

7.114

90.0

90.0

90.0

DFT

22.497

5.035

5.035

7.099

90.0

90.0

90.0

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

1

2

3

4

5

6

98.3

3.3

36.3

0.0

0.0

0.0

3.3

98.3

36.3

0.0

0.0

0.0

36.3

36.3

65.3

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

14.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.886

8.289

8.289

3.477

90.0

90.0

90.0

DFT

24.173

8.412

8.412

3.416

90.0

90.0

90.0

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

1

2

3

4

5

6

75.4

32.6

41.8

0.0

0.0

0.0

32.6

75.4

41.8

0.0

0.0

0.0

41.8

41.8

69.3

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

20.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.62

5.595

5.595

10.454

90.0

90.0

120.0

DFT

24.769

5.89

5.89

9.895

90.0

90.0

120.0

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

1

2

3

4

5

6

78.4

45.9

44.6

0.0

0.0

0.0

45.9

78.4

44.6

0.0

0.0

0.0

44.6

44.6

130.4

0.0

0.0

0.0

0.0

0.0

0.0

28.1

0.0

0.0

0.0

0.0

0.0

0.0

28.1

0.0

0.0

0.0

0.0

0.0

0.0

16.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.308

5.457

5.457

8.135

90.0

90.0

120.0

DFT

23.483

5.451

5.451

8.214

90.0

90.0

120.0

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

1

2

3

4

5

6

88.6

44.8

22.4

0.0

0.0

0.0

44.8

88.6

22.4

0.0

0.0

0.0

22.4

22.4

123.9

0.0

0.0

0.0

0.0

0.0

0.0

-34.8

0.0

0.0

0.0

0.0

0.0

0.0

-34.8

0.0

0.0

0.0

0.0

0.0

0.0

21.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.502

7.218

7.218

7.218

90.0

90.0

90.0

DFT

23.372

7.205

7.205

7.205

90.0

90.0

90.0

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

1

2

3

4

5

6

53.5

42.0

42.0

0.0

0.0

0.0

42.0

53.5

42.0

0.0

0.0

0.0

42.0

42.0

53.5

0.0

0.0

0.0

0.0

0.0

0.0

44.8

0.0

0.0

0.0

0.0

0.0

0.0

44.8

0.0

0.0

0.0

0.0

0.0

0.0

44.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.753

6.397

6.397

10.271

90.0

90.0

120.0

DFT

22.884

6.388

6.388

10.36

90.0

90.0

120.0

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

1

2

3

4

5

6

72.8

40.2

15.3

0.0

0.0

0.0

40.2

72.8

15.3

0.0

0.0

0.0

15.3

15.3

104.8

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

16.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.883

4.968

4.968

14.835

90.0

90.0

90.0

DFT

22.939

4.605

4.605

17.307

90.0

90.0

90.0

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

1

2

3

4

5

6

90.3

3.7

39.9

0.0

0.0

0.0

3.7

90.3

39.9

0.0

0.0

0.0

39.9

39.9

51.4

0.0

0.0

0.0

0.0

0.0

0.0

43.9

0.0

0.0

0.0

0.0

0.0

0.0

43.9

0.0

0.0

0.0

0.0

0.0

0.0

16.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.083

3.587

3.587

3.587

90.0

90.0

90.0

DFT

23.018

3.584

3.584

3.584

90.0

90.0

90.0

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

1

2

3

4

5

6

75.6

42.3

42.3

0.0

0.0

0.0

42.3

75.6

42.3

0.0

0.0

0.0

42.3

42.3

75.6

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

52.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.501

7.114

7.114

7.114

90.0

90.0

90.0

DFT

22.449

7.108

7.108

7.108

90.0

90.0

90.0

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

1

2

3

4

5

6

65.3

36.3

36.3

0.0

0.0

0.0

36.3

65.3

36.3

0.0

0.0

0.0

36.3

36.3

65.3

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