gtinv-431 (Ca-Sc-2022-06-12)

Energy distribution

../../../../_images/distribution354.png

Convex hull (formation energy)

../../../../_images/convex354.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Ca

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-sep354.png

Prototype structure energy

../../../../_images/icsd-pred354.png

Phonon density of states

../../../../_images/dos354.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-97006-10-[InMg2]

-3.8577

-3.85758

icsd-58745-01-[Fe6Ge6Mg]

-3.76102

-3.76359

icsd-105521-10-[Al5W]

-3.67674

-3.67603

icsd-167735-10-[Ru2B3]

-3.65752

-3.65593

icsd-150584-10-[Fe13Ge3]

-3.59208

-3.58287

icsd-107998-10-[MoNi4]

-3.57805

-3.57823

icsd-104506-01-[Ni3Sn]

-3.4478

-3.44702

icsd-260285-01-[UCl3]

-3.4478

-3.44702

icsd-649037-01-[Ni3Ti]

-3.42258

-3.42336

icsd-420250-01-[LiPd2Tl]

-3.40841

-3.40856

icsd-105191-01-[Al3Ti]

-3.40841

-3.40856

icsd-643301-01-[Au3Cd]

-3.40475

-3.40442

icsd-416747-01-[Al3Zr]

-3.40475

-3.40442

icsd-640726-10-[CuSmP2]

-3.40475

-3.40442

icsd-648748-10-[Pd4Se]

-3.40349

-3.40345

icsd-648572-01-[CuInPt2]

-3.39913

-3.39949

icsd-99787-10-[Fe3Pt]

-3.39913

-3.39949

icsd-69199-01-[U3Si]

-3.39913

-3.39948

icsd-609153-01-[AlPt3]

-3.39913

-3.39948

icsd-181127-10-[Auricupride-AuCu3]

-3.39913

-3.39947

icsd-42773-10-[IrGe4]

-3.39723

-3.40234

icsd-189695-01-[CuHg2Ti]

-3.3897

-3.38789

icsd-188260-10-[Heusler-AlCu2Mn]

-3.3897

-3.38789

icsd-58471-01-[CuZr2]

-3.29747

-3.2965

icsd-652553-10-[AlCr2-MoSi2]

-3.29741

-3.29655

icsd-58607-10-[Au2Ti]

-3.29737

-3.29657

icsd-155842-10-[Co5Fe11]

-3.246

-3.24454

icsd-611176-01-[Fe2P]

-3.24123

-3.23784

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

-3.24104

-3.24224

icsd-246555-10-[Co2Nd]

-3.22994

-3.23016

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

-3.22829

-3.2284

icsd-105726-01-[Pd5Ti3]

-3.16541

-3.16494

icsd-409859-10-[La2Sb]

-3.16413

-3.16417

icsd-105948-01-[InNi2]

-3.14382

-3.14423

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

-3.14381

-3.14423

icsd-16504-01-[CrSi2]

-3.14301

-3.14365

icsd-610464-10-[PbClF/Cu2Sb]

-3.13363

-3.13248

icsd-629406-10-[Cu4Ti3]

-3.09457

-3.09341

icsd-629380-10-[Al3Os2]

-3.08688

-3.08598

icsd-635642-01-[Hg5Mn2]

-3.04047

-3.04273

icsd-659829-01-[Al2Li3]

-3.03856

-3.03554

icsd-103995-01-[Ga3Ti2]

-3.03385

-3.03341

icsd-16606-01-[Nb3Te4]

-3.00628

-2.99548

icsd-59586-01-[Pd5Th3]

-3.00049

-3.00174

icsd-5258-01-[FeSi2]

-2.96992

-2.97004

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

-2.93478

-2.93485

icsd-239-10-[Cu3Se2]

-2.92894

-2.92875

icsd-639879-10-[In5In4]

-2.91924

-2.91968

icsd-635208-10-[CoGa3]

-2.89264

-2.89187

icsd-30446-01-[Fe2B]

-2.88699

-2.887

icsd-639227-10-[Si2U3]

-2.86093

-2.8612

icsd-100654-01-[BiSe]

-2.82527

-2.82422

icsd-659856-01-[LiPt]

-2.80117

-2.80058

icsd-644708-01-[WC]

-2.80117

-2.80058

icsd-55492-01-[BaPt]

-2.7966

-2.79725

icsd-168897-01-[LaI]

-2.79564

-2.79512

icsd-626692-01-[Nickeline-NiAs]

-2.79564

-2.79512

icsd-618702-01-[ScTe]

-2.7935

-2.793

icsd-611618-01-[TiAs]

-2.79348

-2.79298

icsd-103775-01-[NaTl]

-2.7915

-2.79105

icsd-240119-01-[AlLi]

-2.79149

-2.79105

icsd-639037-01-[HgIn]

-2.79126

-2.79069

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

-2.79126

-2.79076

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

-2.79125

-2.79076

icsd-105636-01-[PbU]

-2.77939

-2.77954

icsd-611457-01-[NbAs]

-2.77926

-2.77934

icsd-42428-01-[Fe3Pt]

-2.77095

-2.77108

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

-2.77075

-2.77101

icsd-59508-01-[AuCu]

-2.77075

-2.77101

icsd-108707-01-[HgMn]

-2.77075

-2.77101

icsd-106325-01-[BiIn]

-2.77069

-2.77101

icsd-650527-01-[CsCl]

-2.76251

-2.76188

icsd-102712-01-[CoU]

-2.76243

-2.76185

icsd-629406-01-[Cu4Ti3]

-2.74839

-2.74656

icsd-618295-01-[MoC1-x]

-2.74749

-2.74844

icsd-635060-01-[Fersilicite-FeSi]

-2.68041

-2.67896

icsd-639879-01-[In5In4]

-2.67733

-2.67694

icsd-16606-10-[Nb3Te4]

-2.67185

-2.67148

icsd-239-01-[Cu3Se2]

-2.65316

-2.65395

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

-2.6462

-2.64591

icsd-639148-10-[NiHg4]

-2.64163

-2.64174

icsd-108762-10-[Hg4Pt]

-2.64163

-2.64174

icsd-424636-10-[MnGa4]

-2.64163

-2.64174

icsd-73839-10-[Ni3S2]

-2.60333

-2.60336

icsd-629380-01-[Al3Os2]

-2.59653

-2.5982

icsd-659829-10-[Al2Li3]

-2.59213

-2.5915

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

-2.59115

-2.59144

icsd-185626-10-[Al3Ni2]

-2.5911

-2.59175

icsd-103995-10-[Ga3Ti2]

-2.58184

-2.58152

icsd-639227-01-[Si2U3]

-2.56549

-2.56571

icsd-106786-10-[Hg2Pt]

-2.56089

-2.56086

icsd-105726-10-[Pd5Ti3]

-2.55306

-2.55307

icsd-59586-10-[Pd5Th3]

-2.50088

-2.50066

icsd-652553-01-[AlCr2-MoSi2]

-2.48264

-2.48223

icsd-58607-01-[Au2Ti]

-2.48256

-2.48223

icsd-58471-10-[CuZr2]

-2.48248

-2.48223

icsd-30446-10-[Fe2B]

-2.47232

-2.47166

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

-2.4688

-2.47032

icsd-169457-10-[ZrH2]

-2.4482

-2.44871

icsd-248490-10-[Pt2Si]

-2.44812

-2.44864

icsd-638227-10-[Fluorite-CaF2]

-2.44812

-2.44864

icsd-611176-10-[Fe2P]

-2.4343

-2.43784

icsd-185626-01-[Al3Ni2]

-2.43296

-2.43246

icsd-16504-10-[CrSi2]

-2.41232

-2.41259

icsd-155842-01-[Co5Fe11]

-2.40974

-2.40144

icsd-5258-10-[FeSi2]

-2.39727

-2.3969

icsd-105948-10-[InNi2]

-2.38079

-2.37999

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

-2.38079

-2.37999

icsd-409859-01-[La2Sb]

-2.30505

-2.30658

icsd-635642-10-[Hg5Mn2]

-2.30473

-2.30968

icsd-104506-10-[Ni3Sn]

-2.2907

-2.28962

icsd-260285-10-[UCl3]

-2.29058

-2.28959

icsd-189695-10-[CuHg2Ti]

-2.28654

-2.28683

icsd-188260-01-[Heusler-AlCu2Mn]

-2.28654

-2.28683

icsd-649037-10-[Ni3Ti]

-2.28615

-2.28508

icsd-420250-10-[LiPd2Tl]

-2.28415

-2.28413

icsd-105191-10-[Al3Ti]

-2.28415

-2.28413

icsd-610464-01-[PbClF/Cu2Sb]

-2.28296

-2.28168

icsd-643301-10-[Au3Cd]

-2.2829

-2.28326

icsd-416747-10-[Al3Zr]

-2.2829

-2.28326

icsd-640726-01-[CuSmP2]

-2.28287

-2.28325

icsd-609153-10-[AlPt3]

-2.28155

-2.2816

icsd-69199-10-[U3Si]

-2.2815

-2.28154

icsd-648572-10-[CuInPt2]

-2.28149

-2.28163

icsd-181127-01-[Auricupride-AuCu3]

-2.28149

-2.28163

icsd-99787-01-[Fe3Pt]

-2.28149

-2.28162

icsd-42472-01-[CoO]

-2.25014

-2.2498

icsd-181788-01-[NaCl]

-2.25011

-2.2498

icsd-167735-01-[Ru2B3]

-2.236

-2.23644

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

-2.22836

-2.22837

icsd-107998-01-[MoNi4]

-2.21151

-2.21115

icsd-106786-01-[Hg2Pt]

-2.20881

-2.20944

icsd-150584-01-[Fe13Ge3]

-2.19216

-2.18622

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

-2.1784

-2.17853

icsd-635208-01-[CoGa3]

-2.16717

-2.16267

icsd-246555-01-[Co2Nd]

-2.15424

-2.15346

icsd-161109-01-[CoSn]

-2.15067

-2.14949

icsd-105521-01-[Al5W]

-2.15009

-2.1496

icsd-648748-01-[Pd4Se]

-2.09167

-2.09152

icsd-42773-01-[IrGe4]

-2.09054

-2.09286

icsd-97006-01-[InMg2]

-2.06732

-2.06769

icsd-73839-01-[Ni3S2]

-2.04843

-2.05176

icsd-248490-01-[Pt2Si]

-1.97722

-1.977

icsd-169457-01-[ZrH2]

-1.9772

-1.977

icsd-638227-01-[Fluorite-CaF2]

-1.977

-1.97696

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

-1.8615

-1.86171

icsd-639148-01-[NiHg4]

-1.83789

-1.83764

icsd-108762-01-[Hg4Pt]

-1.83789

-1.83764

icsd-424636-01-[MnGa4]

-1.83789

-1.83764

icsd-58745-10-[Fe6Ge6Mg]

-1.83644

-1.83966

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.921

7.909

7.909

7.909

90.0

90.0

90.0

DFT

31.189

7.932

7.932

7.932

90.0

90.0

90.0

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

1

2

3

4

5

6

39.2

27.9

27.9

0.0

0.0

0.0

27.9

39.2

27.9

0.0

0.0

0.0

27.9

27.9

39.2

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

0.0

0.0

0.0

0.0

0.0

23.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.083

5.896

5.896

6.993

90.0

90.0

120.0

DFT

34.873

5.858

5.858

7.041

90.0

90.0

120.0

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

1

2

3

4

5

6

47.9

20.6

5.8

0.0

0.0

0.0

20.6

47.9

5.8

0.0

0.0

0.0

5.8

5.8

53.8

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

13.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.975

3.501

3.501

5.836

90.0

90.0

120.0

DFT

31.04

3.498

3.498

5.858

90.0

90.0

120.0

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

1

2

3

4

5

6

52.1

42.6

15.5

0.0

0.0

0.0

42.6

52.1

15.5

0.0

0.0

0.0

15.5

15.5

54.8

0.0

0.0

0.0

0.0

0.0

0.0

11.2

0.0

0.0

0.0

0.0

0.0

0.0

11.2

0.0

0.0

0.0

0.0

0.0

0.0

4.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

37.699

8.402

8.402

5.34

90.0

90.0

90.0

DFT

37.411

8.391

8.391

5.314

90.0

90.0

90.0

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

1

2

3

4

5

6

34.3

18.2

23.7

0.0

0.0

-6.6

18.2

34.3

23.7

0.0

0.0

6.6

23.7

23.7

26.0

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

-6.6

6.6

0.0

0.0

0.0

12.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.369

4.786

4.786

9.561

90.0

90.0

90.0

DFT

27.343

4.769

4.769

9.619

90.0

90.0

90.0

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

1

2

3

4

5

6

44.1

37.6

39.5

0.0

0.0

0.0

37.6

44.1

39.5

0.0

0.0

0.0

39.5

39.5

56.6

0.0

0.0

0.0

0.0

0.0

0.0

26.1

0.0

0.0

0.0

0.0

0.0

0.0

26.1

0.0

0.0

0.0

0.0

0.0

0.0

31.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.921

3.955

3.955

3.955

90.0

90.0

90.0

DFT

31.165

3.965

3.965

3.965

90.0

90.0

90.0

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

1

2

3

4

5

6

39.2

27.9

27.9

0.0

0.0

0.0

27.9

39.2

27.9

0.0

0.0

0.0

27.9

27.9

39.2

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

0.0

0.0

0.0

0.0

0.0

23.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.786

5.279

5.279

5.279

90.0

90.0

90.0

DFT

36.437

5.263

5.263

5.263

90.0

90.0

90.0

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

1

2

3

4

5

6

23.9

21.4

21.4

0.0

0.0

0.0

21.4

23.9

21.4

0.0

0.0

0.0

21.4

21.4

23.9

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

17.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

34.957

5.871

3.512

10.174

90.0

90.0

90.0

DFT

35.957

4.809

4.809

9.33

90.0

90.0

90.0

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

1

2

3

4

5

6

48.9

9.8

23.8

0.0

0.0

0.0

9.8

46.1

14.1

0.0

0.0

0.0

23.8

14.1

55.8

0.0

0.0

0.0

0.0

0.0

0.0

-446.0

0.0

0.0

0.0

0.0

0.0

0.0

15.5

0.0

0.0

0.0

0.0

0.0

0.0

9.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.347

4.83

4.83

18.758

90.0

90.0

90.0

DFT

27.305

4.784

4.784

19.09

90.0

90.0

90.0

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

1

2

3

4

5

6

45.3

34.1

37.8

0.0

0.0

0.0

34.1

45.3

37.8

0.0

0.0

0.0

37.8

37.8

47.8

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

31.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.145

6.359

6.359

6.359

90.0

90.0

90.0

DFT

31.766

6.334

6.334

6.334

90.0

90.0

90.0

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

1

2

3

4

5

6

-4.6

47.9

47.9

0.0

0.0

0.0

47.9

-4.6

47.9

0.0

0.0

0.0

47.9

47.9

-4.6

0.0

0.0

0.0

0.0

0.0

0.0

40618.3

-40616.0

-20308.0

0.0

0.0

0.0

-40616.0

40618.3

0.0

0.0

0.0

0.0

-20308.0

0.0

40618.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

34.244

9.545

9.545

3.758

90.0

90.0

90.0

DFT

34.267

9.582

9.582

3.732

90.0

90.0

90.0

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

1

2

3

4

5

6

37.2

24.1

25.4

0.0

0.0

0.0

24.1

37.2

25.4

0.0

0.0

0.0

25.4

25.4

55.6

0.0

0.0

0.0

0.0

0.0

0.0

18.7

0.0

0.0

0.0

0.0

0.0

0.0

18.7

0.0

0.0

0.0

0.0

0.0

0.0

16.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.229

7.403

7.403

6.106

90.0

90.0

120.0

DFT

36.455

7.448

7.448

6.071

90.0

90.0

120.0

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

1

2

3

4

5

6

32.0

28.9

8.5

0.0

0.0

0.0

28.9

32.0

8.5

0.0

0.0

0.0

8.5

8.5

50.0

0.0

0.0

0.0

0.0

0.0

0.0

7.9

0.0

0.0

0.0

0.0

0.0

0.0

7.9

0.0

0.0

0.0

0.0

0.0

0.0

1.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.657

3.374

16.267

9.397

90.0

90.0

90.0

DFT

28.653

3.374

16.15

9.466

90.0

90.0

90.0

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

1

2

3

4

5

6

76.7

25.9

24.2

0.0

0.0

0.0

25.9

62.3

30.3

0.0

0.0

0.0

24.2

30.3

68.0

0.0

0.0

0.0

0.0

0.0

0.0

19.0

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

6.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.27

3.431

5.387

9.502

90.0

90.0

90.0

DFT

30.009

4.53

4.53

8.772

90.0

90.0

90.0

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

1

2

3

4

5

6

73.7

27.9

25.0

0.0

0.0

0.0

27.9

79.2

32.7

0.0

0.0

0.0

25.0

32.7

69.2

0.0

0.0

0.0

0.0

0.0

0.0

27.2

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

17.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.606

6.899

6.899

5.358

90.0

90.0

120.0

DFT

27.514

6.911

6.911

5.321

90.0

90.0

120.0

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

1

2

3

4

5

6

56.1

34.5

27.2

0.0

0.0

0.0

34.5

56.1

27.2

0.0

0.0

0.0

27.2

27.2

88.8

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

10.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.306

6.825

6.825

10.83

90.0

90.0

120.0

DFT

27.416

6.834

6.834

10.845

90.0

90.0

120.0

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

1

2

3

4

5

6

59.3

37.4

22.7

0.0

0.0

0.0

37.4

59.3

22.7

0.0

0.0

0.0

22.7

22.7

79.5

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

11.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.09

10.129

10.129

3.555

90.0

90.0

120.0

DFT

34.792

10.038

10.038

3.589

90.0

90.0

120.0

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

1

2

3

4

5

6

52.1

23.9

14.6

0.0

0.0

0.0

23.9

52.1

14.6

0.0

0.0

0.0

14.6

14.6

41.6

0.0

0.0

0.0

0.0

0.0

0.0

5.3

0.0

0.0

0.0

0.0

0.0

0.0

5.3

0.0

0.0

0.0

0.0

0.0

0.0

14.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.045

7.539

7.539

4.758

90.0

90.0

90.0

DFT

26.739

7.494

7.494

4.762

90.0

90.0

90.0

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

1

2

3

4

5

6

64.8

30.2

41.3

0.0

0.0

-10.6

30.2

64.8

41.3

0.0

0.0

10.6

41.3

41.3

52.8

0.0

0.0

0.0

0.0

0.0

0.0

30.8

0.0

0.0

0.0

0.0

0.0

0.0

30.8

0.0

-10.6

10.6

0.0

0.0

0.0

17.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.179

6.84

6.84

10.188

90.0

90.0

117.68

DFT

35.518

6.853

6.853

10.48

90.0

90.0

120.0

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

1

2

3

4

5

6

38.6

21.4

18.9

-0.2

2.5

-2.3

21.4

41.9

15.8

1.5

-1.8

5.0

18.9

15.8

43.0

-2.3

-1.4

-3.0

-0.2

1.5

-2.3

28335.9

22724.6

-1.2

2.5

-1.8

-1.4

22724.6

17141.0

0.6

-2.3

5.0

-3.0

-1.2

0.6

14.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.949

5.944

5.944

8.515

90.0

90.0

120.0

DFT

28.691

5.91

5.91

8.536

90.0

90.0

120.0

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

1

2

3

4

5

6

59.3

36.1

15.5

0.0

0.0

0.0

36.1

59.6

15.5

0.0

0.0

0.0

15.5

15.5

76.3

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

-110.2

0.0

0.0

0.0

0.0

0.0

0.0

11.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.168

7.575

7.575

7.575

90.0

90.0

90.0

DFT

27.352

7.592

7.592

7.592

90.0

90.0

90.0

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

1

2

3

4

5

6

48.8

33.5

33.5

0.0

0.0

0.0

33.5

48.8

33.5

0.0

0.0

0.0

33.5

33.5

48.8

0.0

0.0

0.0

0.0

0.0

0.0

22.8

0.0

0.0

0.0

0.0

0.0

0.0

22.8

0.0

0.0

0.0

0.0

0.0

0.0

22.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.79

5.415

5.415

6.567

90.0

90.0

120.0

DFT

28.218

5.437

5.437

6.613

90.0

90.0

120.0

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

1

2

3

4

5

6

60.9

48.6

16.9

0.0

0.0

0.0

48.6

60.9

16.9

0.0

0.0

0.0

16.9

16.9

85.7

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

6.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.364

4.783

4.783

4.783

90.0

90.0

90.0

DFT

27.4

4.786

4.786

4.786

90.0

90.0

90.0

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

1

2

3

4

5

6

39.0

36.2

36.2

0.0

0.0

0.0

36.2

39.0

36.2

0.0

0.0

0.0

36.2

36.2

39.0

0.0

0.0

0.0

0.0

0.0

0.0

31.0

0.0

0.0

0.0

0.0

0.0

0.0

31.0

0.0

0.0

0.0

0.0

0.0

0.0

31.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.28

3.51

3.51

11.725

90.0

90.0

120.0

DFT

31.411

3.516

3.516

11.733

90.0

90.0

120.0

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

1

2

3

4

5

6

44.0

39.2

14.3

0.0

0.0

0.0

39.2

44.0

14.3

0.0

0.0

0.0

14.3

14.3

63.9

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

2.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.479

5.255

5.255

10.566

90.0

90.0

90.0

DFT

36.432

5.257

5.257

10.544

90.0

90.0

90.0

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

1

2

3

4

5

6

22.4

23.8

23.5

0.0

0.0

0.0

23.8

22.4

23.5

0.0

0.0

0.0

23.5

23.5

33.3

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

18.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.58

8.856

8.856

3.644

90.0

90.0

90.0

DFT

29.203

8.981

8.981

3.62

90.0

90.0

90.0

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

1

2

3

4

5

6

64.7

20.5

43833.4

0.0

-43806.8

-6.5

20.5

66.6

43833.9

0.0

-43806.8

6.7

43833.4

43833.9

116999.7

0.0

-58470.5

0.0

0.0

0.0

0.0

25.2

0.0

0.0

-43806.8

-43806.8

-58470.5

0.0

20.9

0.0

-6.5

6.7

0.0

0.0

0.0

9.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.44

6.319

6.319

10.562

90.0

90.0

120.0

DFT

30.391

6.319

6.319

10.547

90.0

90.0

120.0

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

1

2

3

4

5

6

51.7

27.0

31.1

0.0

0.0

-0.1

27.0

51.7

31.1

0.0

0.0

0.0

31.1

31.1

69.5

0.0

0.0

0.0

0.0

0.0

0.0

10.9

0.0

0.0

0.0

0.0

0.0

0.0

10.9

0.0

-0.1

0.0

0.0

0.0

0.0

12.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

34.752

6.309

6.309

9.074

90.0

90.0

120.0

DFT

34.369

6.254

6.254

9.131

90.0

90.0

120.0

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

1

2

3

4

5

6

54.4

26.4

14.5

0.0

0.0

0.0

26.4

54.4

14.5

0.0

0.0

0.0

14.5

14.5

71.8

0.0

0.0

0.0

0.0

0.0

0.0

-26.7

0.0

0.0

0.0

0.0

0.0

0.0

-26.7

0.0

0.0

0.0

0.0

0.0

0.0

14.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.814

7.9

7.9

7.9

90.0

90.0

90.0

DFT

30.99

7.915

7.915

7.915

90.0

90.0

90.0

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

1

2

3

4

5

6

42.2

33.0

33.0

0.0

0.0

0.0

33.0

42.2

33.0

0.0

0.0

0.0

33.0

33.0

42.2

0.0

0.0

0.0

0.0

0.0

0.0

20.2

0.0

0.0

0.0

0.0

0.0

0.0

20.2

0.0

0.0

0.0

0.0

0.0

0.0

20.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.462

7.432

7.432

12.197

90.0

90.0

120.0

DFT

36.5

7.447

7.447

12.159

90.0

90.0

120.0

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

1

2

3

4

5

6

30.9

27.3

9.3

0.0

0.0

0.0

27.3

30.9

9.3

0.0

0.0

0.0

9.3

9.3

46.9

0.0

0.0

0.0

0.0

0.0

0.0

7.4

0.0

0.0

0.0

0.0

0.0

0.0

7.4

0.0

0.0

0.0

0.0

0.0

0.0

1.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.651

5.263

5.263

21.173

90.0

90.0

90.0

DFT

36.468

5.262

5.262

21.074

90.0

90.0

90.0

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

1

2

3

4

5

6

22.9

22.6

22.7

0.0

0.0

0.0

22.6

22.9

22.7

0.0

0.0

0.0

22.7

22.7

30.5

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

17.5

0.0

0.0

0.0

0.0

0.0

0.0

18.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.519

3.448

3.448

5.303

90.0

90.0

90.0

DFT

31.539

3.475

3.475

5.225

90.0

90.0

90.0

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

1

2

3

4

5

6

57.8

5.9

26.2

0.0

0.0

0.0

5.9

57.8

26.2

0.0

0.0

0.0

26.2

26.2

43.2

0.0

0.0

0.0

0.0

0.0

0.0

20.6

0.0

0.0

0.0

0.0

0.0

0.0

20.6

0.0

0.0

0.0

0.0

0.0

0.0

-3.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.739

8.3

8.3

8.3

90.0

90.0

90.0

DFT

35.837

8.308

8.308

8.308

90.0

90.0

90.0

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

1

2

3

4

5

6

27.8

19.8

19.8

0.0

0.0

0.0

19.8

27.8

19.8

0.0

0.0

0.0

19.8

19.8

27.8

0.0

0.0

0.0

0.0

0.0

0.0

23.0

0.0

0.0

0.0

0.0

0.0

0.0

23.0

0.0

0.0

0.0

0.0

0.0

0.0

23.0