gtinv-722 (Al-Sn-2022-06-12)

Energy distribution

../../../../_images/distribution201.png

Convex hull (formation energy)

../../../../_images/convex201.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Al

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-sep201.png

Prototype structure energy

../../../../_images/icsd-pred201.png

Phonon density of states

../../../../_images/dos201.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-10-[Fe6Ge6Mg]

-3.31433

-3.30819

icsd-97006-01-[InMg2]

-3.26009

-3.26242

icsd-105521-01-[Al5W]

-3.25218

-3.24826

icsd-610464-01-[PbClF/Cu2Sb]

-3.24664

-3.23833

icsd-107998-01-[MoNi4]

-3.24135

-3.24341

icsd-409859-01-[La2Sb]

-3.22575

-3.22766

icsd-167735-01-[Ru2B3]

-3.22361

-3.22358

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

-3.21779

-3.21821

icsd-150584-01-[Fe13Ge3]

-3.21702

-3.19673

icsd-246555-01-[Co2Nd]

-3.21133

-3.20628

icsd-260285-10-[UCl3]

-3.20789

-3.20298

icsd-104506-10-[Ni3Sn]

-3.2078

-3.20288

icsd-649037-10-[Ni3Ti]

-3.20464

-3.20521

icsd-640726-01-[CuSmP2]

-3.20359

-3.20202

icsd-416747-10-[Al3Zr]

-3.20359

-3.20202

icsd-643301-10-[Au3Cd]

-3.20359

-3.20202

icsd-420250-10-[LiPd2Tl]

-3.20191

-3.20232

icsd-105191-10-[Al3Ti]

-3.20188

-3.20232

icsd-181127-01-[Auricupride-AuCu3]

-3.2009

-3.20126

icsd-648572-10-[CuInPt2]

-3.20089

-3.20126

icsd-609153-10-[AlPt3]

-3.20074

-3.2025

icsd-69199-10-[U3Si]

-3.20073

-3.2025

icsd-99787-01-[Fe3Pt]

-3.20067

-3.2013

icsd-652553-01-[AlCr2-MoSi2]

-3.19559

-3.19557

icsd-58607-01-[Au2Ti]

-3.19553

-3.19559

icsd-58471-10-[CuZr2]

-3.19536

-3.19562

icsd-629406-01-[Cu4Ti3]

-3.18621

-3.18897

icsd-611176-10-[Fe2P]

-3.18443

-3.18931

icsd-30446-10-[Fe2B]

-3.18339

-3.18406

icsd-42773-01-[IrGe4]

-3.18054

-3.191

icsd-59586-10-[Pd5Th3]

-3.17837

-3.18097

icsd-239-01-[Cu3Se2]

-3.17582

-3.17735

icsd-105726-10-[Pd5Ti3]

-3.17538

-3.17626

icsd-189695-10-[CuHg2Ti]

-3.17319

-3.15431

icsd-188260-01-[Heusler-AlCu2Mn]

-3.17319

-3.15431

icsd-239-10-[Cu3Se2]

-3.16779

-3.16881

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

-3.16762

-3.16908

icsd-16606-10-[Nb3Te4]

-3.16712

-3.15702

icsd-16504-10-[CrSi2]

-3.16343

-3.15662

icsd-629380-01-[Al3Os2]

-3.16341

-3.16424

icsd-103995-10-[Ga3Ti2]

-3.16278

-3.16416

icsd-155842-01-[Co5Fe11]

-3.15759

-3.15518

icsd-629406-10-[Cu4Ti3]

-3.15741

-3.15691

icsd-659829-10-[Al2Li3]

-3.15739

-3.1575

icsd-73839-01-[Ni3S2]

-3.15664

-3.15006

icsd-102712-01-[CoU]

-3.15599

-3.12385

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

-3.15113

-3.15114

icsd-635642-10-[Hg5Mn2]

-3.14828

-3.15302

icsd-169457-10-[ZrH2]

-3.14498

-3.14532

icsd-248490-10-[Pt2Si]

-3.14473

-3.14533

icsd-638227-10-[Fluorite-CaF2]

-3.1447

-3.14562

icsd-105948-10-[InNi2]

-3.14184

-3.1394

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

-3.14179

-3.13941

icsd-106786-01-[Hg2Pt]

-3.14166

-3.1415

icsd-639227-10-[Si2U3]

-3.1405

-3.14245

icsd-639879-01-[In5In4]

-3.13979

-3.13967

icsd-659829-01-[Al2Li3]

-3.13909

-3.13299

icsd-611176-01-[Fe2P]

-3.13751

-3.13376

icsd-648748-10-[Pd4Se]

-3.13671

-3.1334

icsd-58607-10-[Au2Ti]

-3.13518

-3.13483

icsd-652553-10-[AlCr2-MoSi2]

-3.13515

-3.13483

icsd-58471-01-[CuZr2]

-3.13514

-3.13482

icsd-105726-01-[Pd5Ti3]

-3.13434

-3.13608

icsd-107998-10-[MoNi4]

-3.13331

-3.13338

icsd-629380-10-[Al3Os2]

-3.13267

-3.13348

icsd-639879-10-[In5In4]

-3.13252

-3.13408

icsd-648748-01-[Pd4Se]

-3.12885

-3.12953

icsd-635642-01-[Hg5Mn2]

-3.12769

-3.12193

icsd-42428-01-[Fe3Pt]

-3.12691

-3.12823

icsd-106325-01-[BiIn]

-3.12675

-3.12918

icsd-108707-01-[HgMn]

-3.12658

-3.12827

icsd-59508-01-[AuCu]

-3.12657

-3.12827

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

-3.12654

-3.12826

icsd-59586-01-[Pd5Th3]

-3.12529

-3.12379

icsd-97006-10-[InMg2]

-3.12509

-3.12119

icsd-650527-01-[CsCl]

-3.12443

-3.11624

icsd-42773-10-[IrGe4]

-3.12233

-3.12528

icsd-635060-01-[Fersilicite-FeSi]

-3.12095

-3.11841

icsd-185626-01-[Al3Ni2]

-3.11927

-3.13804

icsd-618295-01-[MoC1-x]

-3.11722

-3.1176

icsd-100654-01-[BiSe]

-3.11656

-3.12015

icsd-16606-01-[Nb3Te4]

-3.11614

-3.11282

icsd-185626-10-[Al3Ni2]

-3.11573

-3.11449

icsd-103995-01-[Ga3Ti2]

-3.11564

-3.11898

icsd-611457-01-[NbAs]

-3.11255

-3.11696

icsd-105636-01-[PbU]

-3.11254

-3.11696

icsd-5258-01-[FeSi2]

-3.11137

-3.11203

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

-3.11038

-3.11112

icsd-260285-01-[UCl3]

-3.11006

-3.10347

icsd-104506-01-[Ni3Sn]

-3.10992

-3.10355

icsd-150584-10-[Fe13Ge3]

-3.10744

-3.09588

icsd-105948-01-[InNi2]

-3.10742

-3.10548

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

-3.10742

-3.10548

icsd-105521-10-[Al5W]

-3.10594

-3.10337

icsd-188260-10-[Heusler-AlCu2Mn]

-3.10592

-3.08802

icsd-189695-01-[CuHg2Ti]

-3.10584

-3.08801

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

-3.10548

-3.10546

icsd-181788-01-[NaCl]

-3.10471

-3.102

icsd-42472-01-[CoO]

-3.10465

-3.10195

icsd-649037-01-[Ni3Ti]

-3.1046

-3.09876

icsd-16504-01-[CrSi2]

-3.10234

-3.09386

icsd-155842-10-[Co5Fe11]

-3.10009

-3.1048

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

-3.09939

-3.09894

icsd-105191-01-[Al3Ti]

-3.09937

-3.10197

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

-3.0981

-3.09873

icsd-639037-01-[HgIn]

-3.09809

-3.09873

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

-3.09809

-3.09873

icsd-611618-01-[TiAs]

-3.09728

-3.09688

icsd-618702-01-[ScTe]

-3.09728

-3.09688

icsd-99787-10-[Fe3Pt]

-3.09669

-3.09929

icsd-181127-10-[Auricupride-AuCu3]

-3.09669

-3.09929

icsd-648572-01-[CuInPt2]

-3.09669

-3.09929

icsd-609153-01-[AlPt3]

-3.09669

-3.09958

icsd-69199-01-[U3Si]

-3.09669

-3.09932

icsd-161109-01-[CoSn]

-3.09611

-3.09665

icsd-416747-01-[Al3Zr]

-3.09549

-3.09859

icsd-640726-10-[CuSmP2]

-3.09549

-3.09859

icsd-643301-01-[Au3Cd]

-3.09549

-3.09859

icsd-626692-01-[Nickeline-NiAs]

-3.09546

-3.09473

icsd-420250-01-[LiPd2Tl]

-3.09534

-3.10074

icsd-168897-01-[LaI]

-3.09501

-3.09442

icsd-610464-10-[PbClF/Cu2Sb]

-3.09274

-3.08872

icsd-659856-01-[LiPt]

-3.09226

-3.08841

icsd-644708-01-[WC]

-3.09218

-3.08839

icsd-409859-10-[La2Sb]

-3.09031

-3.09109

icsd-106786-10-[Hg2Pt]

-3.08235

-3.08727

icsd-55492-01-[BaPt]

-3.07987

-3.07979

icsd-103775-01-[NaTl]

-3.0791

-3.07825

icsd-240119-01-[AlLi]

-3.07902

-3.07828

icsd-167735-10-[Ru2B3]

-3.06583

-3.08913

icsd-639227-01-[Si2U3]

-3.06137

-3.0617

icsd-639148-10-[NiHg4]

-3.05126

-3.05278

icsd-108762-10-[Hg4Pt]

-3.05126

-3.05278

icsd-424636-10-[MnGa4]

-3.05125

-3.05278

icsd-635208-10-[CoGa3]

-3.04594

-3.05444

icsd-5258-10-[FeSi2]

-3.02543

-3.02356

icsd-73839-10-[Ni3S2]

-3.02315

-3.02443

icsd-169457-01-[ZrH2]

-3.02134

-3.023

icsd-638227-01-[Fluorite-CaF2]

-3.0213

-3.02292

icsd-248490-01-[Pt2Si]

-3.02128

-3.023

icsd-58745-01-[Fe6Ge6Mg]

-3.01172

-3.00349

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

-2.97559

-2.97446

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

-2.97009

-2.96813

icsd-635208-01-[CoGa3]

-2.9541

-2.94216

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

-2.91982

-2.91938

icsd-246555-10-[Co2Nd]

-2.87224

-2.87379

icsd-424636-01-[MnGa4]

-2.72364

-2.72435

icsd-108762-01-[Hg4Pt]

-2.72364

-2.72435

icsd-639148-01-[NiHg4]

-2.72364

-2.72435

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.988

7.165

7.165

7.165

90.0

90.0

90.0

DFT

22.884

7.154

7.154

7.154

90.0

90.0

90.0

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

1

2

3

4

5

6

51.8

40.4

40.4

0.0

0.0

0.0

40.4

51.8

40.4

0.0

0.0

0.0

40.4

40.4

51.8

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

5.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.413

6.92

3.126

5.812

90.0

90.0

103.06

DFT

21.109

4.998

4.998

5.854

90.0

90.0

120.0

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

1

2

3

4

5

6

65.2

42.6

36.3

0.0

0.0

0.0

42.6

62.7

21.5

0.0

0.0

0.6

36.3

21.5

97.7

0.0

0.0

3.6

0.0

0.0

0.0

13.3

1.1

0.0

0.0

0.0

0.0

1.1

17.7

0.0

0.0

0.6

3.6

0.0

0.0

11.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.981

3.229

3.229

5.09

90.0

90.0

120.0

DFT

22.861

3.238

3.238

5.037

90.0

90.0

120.0

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

1

2

3

4

5

6

50.2

47.8

41.1

0.0

0.0

0.0

47.8

50.1

41.1

0.0

0.0

0.0

41.1

41.1

68.5

0.0

0.0

0.0

0.0

0.0

0.0

3.8

0.0

0.0

0.0

0.0

0.0

0.0

3.8

0.0

0.0

0.0

0.0

0.0

0.0

1.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.027

6.669

6.669

4.278

90.0

90.0

90.0

DFT

19.048

6.834

6.834

4.079

90.0

90.0

90.0

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

1

2

3

4

5

6

77.8

44.8

49.6

0.0

0.0

-0.8

44.8

77.8

49.6

0.0

0.0

0.8

49.6

49.6

68.9

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

-0.8

0.8

0.0

0.0

0.0

7.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.697

5.258

5.258

7.436

90.0

90.0

90.0

DFT

25.536

4.851

4.851

8.68

90.0

90.0

90.0

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

1

2

3

4

5

6

70.6

37.3

52.2

0.0

0.0

0.0

37.3

70.6

52.2

0.0

0.0

0.0

52.2

52.2

55.7

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

16.7

0.0

0.0

0.0

0.0

0.0

0.0

1.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.303

3.546

3.546

3.546

90.0

90.0

90.0

DFT

22.731

3.569

3.569

3.569

90.0

90.0

90.0

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

1

2

3

4

5

6

42.4

54.8

54.8

0.0

0.0

0.0

54.8

42.4

54.8

0.0

0.0

0.0

54.8

54.8

42.4

0.0

0.0

0.0

0.0

0.0

0.0

15.9

0.0

0.0

0.0

0.0

0.0

0.0

15.9

0.0

0.0

0.0

0.0

0.0

0.0

15.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.338

4.261

4.261

4.261

90.0

90.0

90.0

DFT

19.676

4.285

4.285

4.285

90.0

90.0

90.0

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

1

2

3

4

5

6

54.4

34.9

34.9

0.0

0.0

0.0

34.9

54.4

34.9

0.0

0.0

0.0

34.9

34.9

54.4

0.0

0.0

0.0

0.0

0.0

0.0

19.6

0.0

0.0

0.0

0.0

0.0

0.0

19.6

0.0

0.0

0.0

0.0

0.0

0.0

19.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.779

4.049

4.049

7.604

90.0

90.0

90.0

DFT

21.064

4.091

4.091

7.551

90.0

90.0

90.0

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

1

2

3

4

5

6

65.9

55.3

46.5

0.0

0.0

0.0

55.3

65.9

46.5

0.0

0.0

0.0

46.5

46.5

75.6

0.0

0.0

0.0

0.0

0.0

0.0

19.3

0.0

0.0

0.0

0.0

0.0

0.0

19.3

0.0

0.0

0.0

0.0

0.0

0.0

36.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.791

5.366

5.366

14.332

90.0

90.0

90.0

DFT

25.63

4.616

4.616

19.248

90.0

90.0

90.0

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

1

2

3

4

5

6

56.5

32.3

39.7

0.0

0.0

0.0

32.3

56.5

39.7

0.0

0.0

0.0

39.7

39.7

36.6

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

6.8

0.0

0.0

0.0

0.0

0.0

0.0

1.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.395

5.8

5.8

5.8

90.0

90.0

90.0

DFT

23.422

5.722

5.722

5.722

90.0

90.0

90.0

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

1

2

3

4

5

6

-10.8

74.5

74.5

0.0

0.0

0.0

74.5

-10.8

74.5

0.0

0.0

0.0

74.5

74.5

-10.8

0.0

0.0

0.0

0.0

0.0

0.0

-4.7

0.0

0.0

0.0

0.0

0.0

0.0

-4.6

0.0

0.0

0.0

0.0

0.0

0.0

-4.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.653

8.022

8.022

3.676

90.0

90.0

90.0

DFT

22.86

8.254

8.254

3.355

90.0

90.0

90.0

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

1

2

3

4

5

6

18.6

71.0

27.7

0.0

0.0

0.0

71.0

29.4

35.5

0.0

0.0

0.0

27.7

35.5

30.2

0.0

0.0

0.0

0.0

0.0

0.0

10.4

0.0

0.0

0.0

0.0

0.0

0.0

10.4

0.0

0.0

0.0

0.0

0.0

0.0

18.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.486

6.812

9.965

4.829

90.0

90.0

90.0

DFT

19.794

6.146

10.498

4.909

90.0

90.0

90.0

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

1

2

3

4

5

6

48.3

45.6

42.4

0.0

0.0

0.0

45.6

64.3

39.5

0.0

0.0

0.0

42.4

39.5

67.8

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

3.5

0.0

0.0

0.0

0.0

0.0

0.0

-29.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.43

3.931

14.202

8.199

90.0

90.0

90.0

DFT

24.63

4.021

13.809

7.983

90.0

90.0

90.0

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

1

2

3

4

5

6

52.3

43.5

43.5

0.0

0.0

0.0

43.5

61.5

40.6

0.0

0.0

0.0

43.5

40.6

61.5

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

24.7

0.0

0.0

0.0

0.0

0.0

0.0

24.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.316

4.339

4.339

8.067

90.0

90.0

90.0

DFT

25.262

4.344

4.344

8.034

90.0

90.0

90.0

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

1

2

3

4

5

6

-18047.7

18152.6

48.2

0.0

0.0

0.0

18152.6

-18047.7

48.2

0.0

0.0

0.0

48.2

48.2

82.2

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

0.0

0.0

0.0

0.0

0.0

0.0

31.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.399

6.685

6.685

5.249

90.0

90.0

120.0

DFT

25.297

6.585

6.585

5.389

90.0

90.0

120.0

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

1

2

3

4

5

6

49.2

48.3

38.3

0.0

0.0

0.0

48.3

49.1

38.3

0.0

0.0

0.0

38.3

38.3

62.3

0.0

0.0

0.0

0.0

0.0

0.0

5.5

0.0

0.0

0.0

0.0

0.0

0.0

5.5

0.0

0.0

0.0

0.0

0.0

0.0

0.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.549

6.646

6.646

10.687

90.0

90.0

120.0

DFT

25.497

6.6

6.6

10.813

90.0

90.0

120.0

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

1

2

3

4

5

6

54.1

1091.6

38.8

0.0

0.0

0.0

1091.6

2133.9

16635.1

0.0

0.0

0.0

38.8

16635.1

69.3

0.0

0.0

0.0

0.0

0.0

0.0

5.4

0.0

0.0

0.0

0.0

0.0

0.0

5.4

0.0

0.0

0.0

0.0

0.0

0.0

1.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.517

2.991

11.74

11.031

90.0

90.0

90.0

DFT

21.257

3.064

11.951

10.45

90.0

90.0

90.0

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

1

2

3

4

5

6

87.9

32.8

36.1

0.0

0.0

0.0

32.8

68.4

55.7

0.0

0.0

0.0

36.1

55.7

58.2

0.0

0.0

0.0

0.0

0.0

0.0

27.9

0.0

0.0

0.0

0.0

0.0

0.0

5.2

0.0

0.0

0.0

0.0

0.0

0.0

13.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.011

8.645

8.645

3.48

90.0

90.0

90.0

DFT

25.705

8.72

8.72

3.381

90.0

90.0

90.0

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

1

2

3

4

5

6

52.9

29.0

31.8

0.0

0.0

10.8

29.0

52.9

31.8

0.0

0.0

-10.8

31.8

31.8

40.8

0.0

0.0

0.0

0.0

0.0

0.0

13.2

0.0

0.0

0.0

0.0

0.0

0.0

13.2

0.0

10.8

-10.8

0.0

0.0

0.0

12.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.73

5.583

5.583

9.214

90.0

90.0

120.0

DFT

20.629

5.604

5.604

9.101

90.0

90.0

120.0

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

1

2

3

4

5

6

71.1

42.2

40.2

0.0

0.0

0.0

42.2

71.1

40.2

0.0

0.0

0.0

40.2

40.2

87.2

0.0

0.0

0.0

0.0

0.0

0.0

9.1

0.0

0.0

0.0

0.0

0.0

0.0

9.1

0.0

0.0

0.0

0.0

0.0

0.0

14.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.125

5.63

5.63

8.239

90.0

90.0

120.0

DFT

24.699

5.6

5.6

8.187

90.0

90.0

120.0

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

1

2

3

4

5

6

54.2

41.7

29.9

0.0

0.0

0.0

41.7

54.2

29.9

0.0

0.0

0.0

29.9

29.9

62.4

0.0

0.0

0.0

0.0

0.0

0.0

1.5

0.0

0.0

0.0

0.0

0.0

0.0

1.5

0.0

0.0

0.0

0.0

0.0

0.0

6.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.697

7.436

7.436

7.436

90.0

90.0

90.0

DFT

25.501

7.417

7.417

7.417

90.0

90.0

90.0

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

1

2

3

4

5

6

55.7

52.2

52.2

0.0

0.0

0.0

52.2

55.7

52.2

0.0

0.0

0.0

52.2

52.2

55.7

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

16.7

0.0

0.0

0.0

0.0

0.0

0.0

16.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.383

5.199

5.199

6.251

90.0

90.0

120.0

DFT

24.504

5.166

5.166

6.361

90.0

90.0

120.0

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

1

2

3

4

5

6

73.1

53.3

40.7

0.0

0.0

0.0

53.3

73.1

40.7

0.0

0.0

0.0

40.7

40.7

80.3

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

3.9

0.0

0.0

0.0

0.0

0.0

0.0

9.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.607

4.679

4.679

4.679

90.0

90.0

90.0

DFT

25.606

4.679

4.679

4.679

90.0

90.0

90.0

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

1

2

3

4

5

6

48.7

49.3

49.3

0.0

0.0

0.0

49.3

48.7

49.3

0.0

0.0

0.0

49.3

49.3

48.7

0.0

0.0

0.0

0.0

0.0

0.0

16.9

0.0

0.0

0.0

0.0

0.0

0.0

16.9

0.0

0.0

0.0

0.0

0.0

0.0

16.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.525

3.721

3.253

7.443

90.0

90.0

90.0

DFT

23.067

3.278

3.278

9.914

90.0

90.0

120.0

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

1

2

3

4

5

6

65.1

59.2

54.1

0.0

0.0

0.0

59.2

88.3

59.2

0.0

0.0

0.0

54.1

59.2

65.1

0.0

0.0

0.0

0.0

0.0

0.0

13.2

0.0

0.0

0.0

0.0

0.0

0.0

29.5

0.0

0.0

0.0

0.0

0.0

0.0

13.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.598

4.31

4.31

8.441

90.0

90.0

90.0

DFT

19.681

4.254

4.254

8.7

90.0

90.0

90.0

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

1

2

3

4

5

6

59.8

45.0

48.2

0.0

0.0

0.0

45.0

59.8

48.2

0.0

0.0

0.0

48.2

48.2

69.9

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

9.9

0.0

0.0

0.0

0.0

0.0

0.0

15.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.971

8.137

8.137

3.771

90.0

90.0

90.0

DFT

23.857

7.812

7.812

3.909

90.0

90.0

90.0

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

1

2

3

4

5

6

63.5

41.6

43.2

0.0

0.0

0.0

41.6

63.5

43.2

0.0

0.0

0.0

43.2

43.2

53.5

0.0

0.0

0.0

0.0

0.0

0.0

20.4

0.0

0.0

0.0

0.0

0.0

0.0

20.4

0.0

0.0

0.0

0.0

0.0

0.0

13.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.304

7.802

7.802

5.988

90.0

90.0

120.0

DFT

27.583

6.669

6.669

8.594

90.0

90.0

120.0

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

1

2

3

4

5

6

55.3

51.9

34.0

0.0

0.0

0.0

51.9

55.3

34.0

0.0

0.0

0.0

34.0

34.0

38.6

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

1.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.122

5.363

5.363

7.633

90.0

90.0

120.0

DFT

20.903

5.274

5.274

7.809

90.0

90.0

120.0

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

1

2

3

4

5

6

65.4

51.0

51.2

0.0

0.0

0.0

51.0

65.4

51.2

0.0

0.0

0.0

51.2

51.2

83.8

0.0

0.0

0.0

0.0

0.0

0.0

1.4

0.0

0.0

0.0

0.0

0.0

0.0

1.4

0.0

0.0

0.0

0.0

0.0

0.0

7.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.877

7.256

7.256

7.256

90.0

90.0

90.0

DFT

23.169

7.184

7.184

7.184

90.0

90.0

90.0

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

1

2

3

4

5

6

56.7

52.2

52.2

0.0

0.0

0.0

52.2

56.7

52.2

0.0

0.0

0.0

52.2

52.2

56.7

0.0

0.0

0.0

0.0

0.0

0.0

7.5

0.0

0.0

0.0

0.0

0.0

0.0

7.5

0.0

0.0

0.0

0.0

0.0

0.0

7.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.852

6.101

6.101

9.853

90.0

90.0

120.0

DFT

19.698

6.086

6.086

9.825

90.0

90.0

120.0

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

1

2

3

4

5

6

51.2

36.2

35.2

0.0

0.0

0.0

36.2

51.2

35.2

0.0

0.0

0.0

35.2

35.2

67.7

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

7.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.629

4.279

4.279

17.153

90.0

90.0

90.0

DFT

19.7

4.28

4.28

17.208

90.0

90.0

90.0

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

1

2

3

4

5

6

54.1

39.4

47.3

0.0

0.0

0.0

39.4

54.1

47.3

0.0

0.0

0.0

47.3

47.3

81.4

0.0

0.0

0.0

0.0

0.0

0.0

13.2

0.0

0.0

0.0

0.0

0.0

0.0

13.2

0.0

0.0

0.0

0.0

0.0

0.0

18.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.346

3.414

3.414

3.834

90.0

90.0

90.0

DFT

22.706

3.37

3.37

3.998

90.0

90.0

90.0

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

1

2

3

4

5

6

63.2

68.1

57.2

0.0

0.0

0.0

68.1

63.2

57.2

0.0

0.0

0.0

57.2

57.2

58.2

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

0.0

0.0

0.0

0.0

0.0

0.0

10.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.419

6.887

6.887

6.887

90.0

90.0

90.0

DFT

20.132

6.855

6.855

6.855

90.0

90.0

90.0

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

1

2

3

4

5

6

45.2

68.0

68.0

0.0

0.0

0.0

68.0

45.2

68.0

0.0

0.0

0.0

68.0

68.0

45.2

0.0

0.0

0.0

0.0

0.0

0.0

9.1

0.0

0.0

0.0

0.0

0.0

0.0

9.1

0.0

0.0

0.0

0.0

0.0

0.0

9.1