pair-49 (Ge-In-2022-06-12)

Energy distribution

../../../../_images/distribution448.png

Convex hull (formation energy)

../../../../_images/convex448.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Ge

1.0

0.0

In

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-sep448.png

Prototype structure energy

../../../../_images/icsd-pred448.png

Phonon density of states

../../../../_images/dos448.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-10-[Fe6Ge6Mg]

-3.33931

-3.28979

icsd-97006-01-[InMg2]

-3.27788

-3.27243

icsd-107998-01-[MoNi4]

-3.21219

-3.21252

icsd-42773-01-[IrGe4]

-3.21207

-3.21561

icsd-105521-01-[Al5W]

-3.19984

-3.20392

icsd-150584-01-[Fe13Ge3]

-3.19654

-3.18266

icsd-167735-01-[Ru2B3]

-3.16799

-3.16625

icsd-648748-01-[Pd4Se]

-3.16076

-3.176

icsd-104506-10-[Ni3Sn]

-3.11977

-3.11918

icsd-260285-10-[UCl3]

-3.11928

-3.11898

icsd-649037-10-[Ni3Ti]

-3.1173

-3.11645

icsd-181127-01-[Auricupride-AuCu3]

-3.11155

-3.10661

icsd-99787-01-[Fe3Pt]

-3.11155

-3.10662

icsd-648572-10-[CuInPt2]

-3.11155

-3.10661

icsd-69199-10-[U3Si]

-3.11119

-3.10749

icsd-609153-10-[AlPt3]

-3.11113

-3.10737

icsd-640726-01-[CuSmP2]

-3.1047

-3.10837

icsd-643301-10-[Au3Cd]

-3.1046

-3.10848

icsd-416747-10-[Al3Zr]

-3.10426

-3.10841

icsd-105191-10-[Al3Ti]

-3.10049

-3.10844

icsd-420250-10-[LiPd2Tl]

-3.10047

-3.10844

icsd-188260-01-[Heusler-AlCu2Mn]

-3.08053

-3.09766

icsd-189695-10-[CuHg2Ti]

-3.08053

-3.09766

icsd-610464-01-[PbClF/Cu2Sb]

-3.07733

-3.07488

icsd-409859-01-[La2Sb]

-3.06928

-3.07189

icsd-635642-10-[Hg5Mn2]

-3.06113

-3.05911

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

-3.05558

-3.06003

icsd-58607-01-[Au2Ti]

-3.05041

-3.05066

icsd-58471-10-[CuZr2]

-3.05041

-3.05065

icsd-652553-01-[AlCr2-MoSi2]

-3.0504

-3.05065

icsd-246555-01-[Co2Nd]

-3.04718

-3.04449

icsd-155842-01-[Co5Fe11]

-3.04463

-3.03959

icsd-611176-10-[Fe2P]

-3.02771

-3.02875

icsd-106786-01-[Hg2Pt]

-3.02594

-3.026

icsd-30446-10-[Fe2B]

-3.02451

-3.02412

icsd-16504-10-[CrSi2]

-3.02191

-3.01337

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

-3.02042

-3.02133

icsd-239-01-[Cu3Se2]

-3.0189

-3.03064

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

-3.00636

-3.01216

icsd-59586-10-[Pd5Th3]

-3.00341

-2.99849

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

-2.99985

-2.99654

icsd-105726-10-[Pd5Ti3]

-2.99664

-2.99495

icsd-5258-10-[FeSi2]

-2.994

-2.99481

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

-2.99119

-2.99001

icsd-105948-10-[InNi2]

-2.99119

-2.99001

icsd-185626-01-[Al3Ni2]

-2.98819

-2.99937

icsd-103995-10-[Ga3Ti2]

-2.97101

-2.9714

icsd-629380-01-[Al3Os2]

-2.9607

-2.96461

icsd-635208-01-[CoGa3]

-2.96065

-2.92504

icsd-629406-01-[Cu4Ti3]

-2.95518

-2.95309

icsd-638227-01-[Fluorite-CaF2]

-2.93855

-2.94065

icsd-248490-01-[Pt2Si]

-2.93853

-2.94004

icsd-169457-01-[ZrH2]

-2.93853

-2.94011

icsd-16606-10-[Nb3Te4]

-2.93662

-2.9305

icsd-73839-01-[Ni3S2]

-2.92833

-2.93202

icsd-659829-10-[Al2Li3]

-2.91497

-2.93805

icsd-639879-01-[In5In4]

-2.91292

-2.9128

icsd-102712-01-[CoU]

-2.85133

-2.86438

icsd-639227-01-[Si2U3]

-2.84827

-2.85817

icsd-108707-01-[HgMn]

-2.83719

-2.83554

icsd-59508-01-[AuCu]

-2.83718

-2.83554

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

-2.83713

-2.83555

icsd-42428-01-[Fe3Pt]

-2.83708

-2.83605

icsd-106325-01-[BiIn]

-2.83703

-2.83603

icsd-618295-01-[MoC1-x]

-2.83632

-2.83334

icsd-105636-01-[PbU]

-2.83332

-2.83423

icsd-611457-01-[NbAs]

-2.83332

-2.83422

icsd-42472-01-[CoO]

-2.8304

-2.82677

icsd-181788-01-[NaCl]

-2.83039

-2.82716

icsd-650527-01-[CsCl]

-2.8271

-2.82148

icsd-635060-01-[Fersilicite-FeSi]

-2.82559

-2.82902

icsd-100654-01-[BiSe]

-2.82509

-2.82729

icsd-240119-01-[AlLi]

-2.82299

-2.81992

icsd-103775-01-[NaTl]

-2.82291

-2.81921

icsd-618702-01-[ScTe]

-2.81145

-2.81209

icsd-611618-01-[TiAs]

-2.81137

-2.81208

icsd-168897-01-[LaI]

-2.81083

-2.80271

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

-2.81079

-2.82138

icsd-626692-01-[Nickeline-NiAs]

-2.81079

-2.80272

icsd-639037-01-[HgIn]

-2.81068

-2.82138

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

-2.81068

-2.82138

icsd-424636-01-[MnGa4]

-2.81064

-2.81159

icsd-108762-01-[Hg4Pt]

-2.81064

-2.81159

icsd-639148-01-[NiHg4]

-2.81064

-2.81159

icsd-639879-10-[In5In4]

-2.81008

-2.81158

icsd-644708-01-[WC]

-2.80812

-2.80238

icsd-659856-01-[LiPt]

-2.80809

-2.8024

icsd-629406-10-[Cu4Ti3]

-2.7938

-2.79308

icsd-55492-01-[BaPt]

-2.79219

-2.78861

icsd-161109-01-[CoSn]

-2.78973

-2.79084

icsd-16606-01-[Nb3Te4]

-2.77236

-2.787

icsd-639227-10-[Si2U3]

-2.76356

-2.75661

icsd-239-10-[Cu3Se2]

-2.74521

-2.7445

icsd-629380-10-[Al3Os2]

-2.73595

-2.73742

icsd-103995-01-[Ga3Ti2]

-2.73585

-2.73686

icsd-185626-10-[Al3Ni2]

-2.73535

-2.76913

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

-2.72012

-2.7206

icsd-105726-01-[Pd5Ti3]

-2.71324

-2.71409

icsd-30446-01-[Fe2B]

-2.70371

-2.70313

icsd-638227-10-[Fluorite-CaF2]

-2.6997

-2.69985

icsd-248490-10-[Pt2Si]

-2.69969

-2.70001

icsd-169457-10-[ZrH2]

-2.69962

-2.69995

icsd-59586-01-[Pd5Th3]

-2.69959

-2.69725

icsd-659829-01-[Al2Li3]

-2.69768

-2.7226

icsd-610464-10-[PbClF/Cu2Sb]

-2.67968

-2.66236

icsd-611176-01-[Fe2P]

-2.67664

-2.67622

icsd-73839-10-[Ni3S2]

-2.67488

-2.68995

icsd-58471-01-[CuZr2]

-2.6736

-2.67372

icsd-58607-10-[Au2Ti]

-2.6735

-2.67312

icsd-652553-10-[AlCr2-MoSi2]

-2.67347

-2.67311

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

-2.67249

-2.66421

icsd-105948-01-[InNi2]

-2.67249

-2.66421

icsd-409859-10-[La2Sb]

-2.66198

-2.66612

icsd-16504-01-[CrSi2]

-2.6571

-2.64997

icsd-5258-01-[FeSi2]

-2.65563

-2.65963

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

-2.65073

-2.65599

icsd-155842-10-[Co5Fe11]

-2.63035

-2.63167

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

-2.62835

-2.62828

icsd-106786-10-[Hg2Pt]

-2.62666

-2.61809

icsd-635642-01-[Hg5Mn2]

-2.59318

-2.60208

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

-2.59073

-2.59163

icsd-104506-01-[Ni3Sn]

-2.58003

-2.56386

icsd-260285-01-[UCl3]

-2.58001

-2.56381

icsd-188260-10-[Heusler-AlCu2Mn]

-2.57468

-2.56711

icsd-189695-01-[CuHg2Ti]

-2.57468

-2.56711

icsd-609153-01-[AlPt3]

-2.56732

-2.56763

icsd-69199-01-[U3Si]

-2.56731

-2.56739

icsd-181127-10-[Auricupride-AuCu3]

-2.56729

-2.56785

icsd-99787-10-[Fe3Pt]

-2.56729

-2.56785

icsd-648572-01-[CuInPt2]

-2.56729

-2.56785

icsd-416747-01-[Al3Zr]

-2.56487

-2.56885

icsd-640726-10-[CuSmP2]

-2.56486

-2.56884

icsd-643301-01-[Au3Cd]

-2.56482

-2.56885

icsd-420250-01-[LiPd2Tl]

-2.56244

-2.56846

icsd-105191-01-[Al3Ti]

-2.56242

-2.56845

icsd-648748-10-[Pd4Se]

-2.53453

-2.53619

icsd-107998-10-[MoNi4]

-2.52826

-2.52762

icsd-150584-10-[Fe13Ge3]

-2.52139

-2.50321

icsd-42773-10-[IrGe4]

-2.51973

-2.51103

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

-2.49664

-2.49479

icsd-105521-10-[Al5W]

-2.48268

-2.4813

icsd-635208-10-[CoGa3]

-2.47942

-2.49701

icsd-167735-10-[Ru2B3]

-2.46642

-2.48251

icsd-97006-10-[InMg2]

-2.44737

-2.4464

icsd-246555-10-[Co2Nd]

-2.42037

-2.42239

icsd-639148-10-[NiHg4]

-2.39756

-2.39879

icsd-108762-10-[Hg4Pt]

-2.39756

-2.39879

icsd-424636-10-[MnGa4]

-2.39756

-2.39879

icsd-58745-01-[Fe6Ge6Mg]

-2.26922

-2.2809

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.039

7.372

7.372

7.372

90.0

90.0

90.0

DFT

23.968

7.265

7.265

7.265

90.0

90.0

90.0

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

1

2

3

4

5

6

38.4

33.5

33.5

0.0

0.0

0.0

33.5

38.4

33.5

0.0

0.0

0.0

33.5

33.5

38.4

0.0

0.0

0.0

0.0

0.0

0.0

0.2

0.0

0.0

0.0

0.0

0.0

0.0

0.2

0.0

0.0

0.0

0.0

0.0

0.0

0.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.609

6.703

3.611

5.82

90.0

90.0

105.63

DFT

22.099

5.078

5.078

5.938

90.0

90.0

120.0

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

1

2

3

4

5

6

50.3

37.0

34.4

0.0

0.0

-5.6

37.0

55.0

35.0

0.0

0.0

4.2

34.4

35.0

74.9

0.0

0.0

-0.2

0.0

0.0

0.0

2.5

1.2

0.0

0.0

0.0

0.0

1.2

6.3

0.0

-5.6

4.2

-0.2

0.0

0.0

12.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.207

3.152

3.152

5.013

90.0

90.0

103.5

DFT

23.313

3.245

3.245

5.112

90.0

90.0

120.0

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

1

2

3

4

5

6

62.0

29.4

32.4

0.0

0.0

1.3

29.4

61.2

30.8

0.0

0.0

-2.8

32.4

30.8

36.9

0.0

0.0

-3.2

0.0

0.0

0.0

4.6

0.6

0.0

0.0

0.0

0.0

0.6

4.3

0.0

1.3

-2.8

-3.2

0.0

0.0

8.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.893

7.724

7.724

3.502

90.0

90.0

90.0

DFT

21.534

7.739

7.739

3.596

90.0

90.0

90.0

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

1

2

3

4

5

6

78.1

52.7

64.6

0.0

0.0

-2.4

52.7

78.1

64.6

0.0

0.0

2.4

64.6

64.6

92.9

0.0

0.0

0.0

0.0

0.0

0.0

15.0

0.0

0.0

0.0

0.0

0.0

0.0

15.0

0.0

-2.4

2.4

0.0

0.0

0.0

12.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.697

5.325

5.325

7.531

90.0

90.0

90.0

DFT

25.269

4.515

4.515

9.918

90.0

90.0

90.0

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

1

2

3

4

5

6

62.1

43.5

50.5

0.0

0.0

0.0

43.5

62.1

50.5

0.0

0.0

0.0

50.5

50.5

55.1

0.0

0.0

0.0

0.0

0.0

0.0

9.3

0.0

0.0

0.0

0.0

0.0

0.0

9.3

0.0

0.0

0.0

0.0

0.0

0.0

2.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.519

3.61

3.61

3.61

90.0

90.0

90.0

DFT

23.26

3.597

3.597

3.597

90.0

90.0

90.0

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

1

2

3

4

5

6

16.5

39.2

39.2

0.0

0.0

0.0

39.2

16.5

39.2

0.0

0.0

0.0

39.2

39.2

16.5

0.0

0.0

0.0

0.0

0.0

0.0

9.6

0.0

0.0

0.0

0.0

0.0

0.0

9.6

0.0

0.0

0.0

0.0

0.0

0.0

9.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.963

4.445

4.445

4.445

90.0

90.0

90.0

DFT

21.457

4.411

4.411

4.411

90.0

90.0

90.0

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

1

2

3

4

5

6

61.2

58.5

58.5

0.0

0.0

0.0

58.5

61.2

58.5

0.0

0.0

0.0

58.5

58.5

61.2

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

5.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.939

4.123

4.123

8.095

90.0

90.0

90.0

DFT

23.555

4.222

4.222

7.928

90.0

90.0

90.0

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

1

2

3

4

5

6

47.8

50.8

48.0

0.0

0.0

0.0

50.8

47.8

48.0

0.0

0.0

0.0

48.0

48.0

63.5

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

14.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.995

5.06

5.06

16.871

90.0

90.0

90.0

DFT

25.353

4.549

4.549

19.603

90.0

90.0

90.0

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

1

2

3

4

5

6

47.3

19.4

30.4

0.0

0.0

0.0

19.4

47.3

30.4

0.0

0.0

0.0

30.4

30.4

31.5

0.0

0.0

0.0

0.0

0.0

0.0

-7.6

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

-0.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.574

5.892

5.892

5.892

90.0

90.0

90.0

DFT

24.108

5.778

5.778

5.778

90.0

90.0

90.0

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

1

2

3

4

5

6

76.0

18.4

18.4

0.0

0.0

0.0

18.4

76.0

18.4

0.0

0.0

0.0

18.4

18.4

76.0

0.0

0.0

0.0

0.0

0.0

0.0

6.6

0.0

0.0

0.0

0.0

0.0

0.0

6.6

0.0

0.0

0.0

0.0

0.0

0.0

6.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.98

7.734

7.734

4.177

90.0

90.0

90.0

DFT

23.466

8.44

8.44

3.294

90.0

90.0

90.0

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

1

2

3

4

5

6

-16.2

84.5

20.7

0.0

0.0

0.0

84.5

-16.2

20.7

0.0

0.0

0.0

20.7

20.7

54.3

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

23.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.759

6.676

11.885

4.791

90.0

90.0

90.0

DFT

21.584

6.279

10.844

5.071

90.0

90.0

90.0

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

1

2

3

4

5

6

49.1

24.0

33.8

0.0

0.0

0.0

24.0

24.4

28.9

0.0

0.0

0.0

33.8

28.9

63.2

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

0.8

0.0

0.0

0.0

0.0

0.0

0.0

10.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.235

4.259

13.884

7.985

90.0

90.0

90.0

DFT

24.919

3.45

15.246

8.528

90.0

90.0

90.0

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

1

2

3

4

5

6

47.8

31.4

27.6

0.0

0.0

0.0

31.4

33.4

20.7

0.0

0.0

0.0

27.6

20.7

37.5

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

9.8

0.0

0.0

0.0

0.0

0.0

0.0

13.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.555

4.445

4.445

8.064

90.0

90.0

90.0

DFT

25.723

4.394

4.394

7.994

90.0

90.0

90.0

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

1

2

3

4

5

6

43.7

38.0

35.9

0.0

0.0

0.0

38.0

43.7

35.9

0.0

0.0

0.0

35.9

35.9

53.3

0.0

0.0

0.0

0.0

0.0

0.0

3.7

0.0

0.0

0.0

0.0

0.0

0.0

3.7

0.0

0.0

0.0

0.0

0.0

0.0

17.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.394

8.005

10.75

4.907

90.0

90.0

90.0

DFT

25.39

6.601

11.417

5.391

90.0

90.0

90.0

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

1

2

3

4

5

6

3526.3

4104.7

-602.7

-1727.6

0.0

851.1

4104.7

45.5

-4024.5

-4060.9

0.0

-0.6

-602.7

-4024.5

-2107.2

-1078.2

0.0

-852.5

-1727.6

-4060.9

-1078.2

0.0

0.1

-852.2

0.0

0.0

0.0

0.1

12.4

0.0

851.1

-0.6

-852.5

-852.2

0.0

-3403.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.021

3.725

13.424

8.595

74.62

90.0

90.0

DFT

22.829

3.12

16.149

8.155

90.0

90.0

90.0

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

1

2

3

4

5

6

56.9

22.8

43.5

-0.3

0.0

0.0

22.8

64.3

31.2

-6.8

0.0

0.0

43.5

31.2

62.1

-2.2

0.0

0.0

-0.3

-6.8

-2.2

7.9

0.0

0.0

0.0

0.0

0.0

0.0

24.3

-5.3

0.0

0.0

0.0

0.0

-5.3

-3.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.695

8.338

8.338

3.839

90.0

90.0

90.0

DFT

25.769

7.802

7.802

4.233

90.0

90.0

90.0

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

1

2

3

4

5

6

67.2

48.5

49.9

0.0

0.0

6.7

48.5

67.2

49.9

0.0

0.0

-6.7

49.9

49.9

50.2

0.0

0.0

0.0

0.0

0.0

0.0

15.2

0.0

0.0

0.0

0.0

0.0

0.0

15.2

0.0

6.7

-6.7

0.0

0.0

0.0

9.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.708

5.938

5.937

8.922

90.0

90.0

119.96

DFT

22.544

5.926

5.926

8.896

90.0

90.0

120.0

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

1

2

3

4

5

6

63.1

63.4

64.7

0.0

0.0

0.0

63.4

63.1

64.7

0.0

0.0

-0.1

64.7

64.7

80.4

0.0

0.0

-0.1

0.0

0.0

0.0

6.0

0.0

0.0

0.0

0.0

0.0

0.0

5.9

0.0

0.0

-0.1

-0.1

0.0

0.0

-0.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.808

5.559

5.559

8.678

90.0

90.0

120.0

DFT

24.722

5.588

5.588

8.227

90.0

90.0

120.0

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

1

2

3

4

5

6

55.8

43.9

34.7

0.0

0.0

0.0

43.9

55.8

34.7

0.0

0.0

0.0

34.7

34.7

64.5

0.0

0.0

0.0

0.0

0.0

0.0

-4.8

0.0

0.0

0.0

0.0

0.0

0.0

-4.8

0.0

0.0

0.0

0.0

0.0

0.0

5.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.697

7.531

7.531

7.531

90.0

90.0

90.0

DFT

25.562

7.423

7.423

7.423

90.0

90.0

90.0

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

1

2

3

4

5

6

55.1

50.5

50.5

0.0

0.0

0.0

50.5

55.1

50.5

0.0

0.0

0.0

50.5

50.5

55.1

0.0

0.0

0.0

0.0

0.0

0.0

9.3

0.0

0.0

0.0

0.0

0.0

0.0

9.3

0.0

0.0

0.0

0.0

0.0

0.0

9.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.233

4.985

4.985

7.314

90.0

90.0

120.0

DFT

24.644

5.218

5.218

6.27

90.0

90.0

120.0

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

1

2

3

4

5

6

74.0

49.1

48.7

0.0

0.0

0.0

49.1

74.0

48.7

0.0

0.0

0.0

48.7

48.7

74.8

0.0

0.0

0.0

0.0

0.0

0.0

17.2

0.0

0.0

0.0

0.0

0.0

0.0

17.2

0.0

0.0

0.0

0.0

0.0

0.0

12.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.396

4.726

4.726

4.726

90.0

90.0

90.0

DFT

25.319

4.661

4.661

4.661

90.0

90.0

90.0

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

1

2

3

4

5

6

33.3

28.8

28.8

0.0

0.0

0.0

28.8

33.3

28.8

0.0

0.0

0.0

28.8

28.8

33.3

0.0

0.0

0.0

0.0

0.0

0.0

2.5

0.0

0.0

0.0

0.0

0.0

0.0

2.5

0.0

0.0

0.0

0.0

0.0

0.0

2.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.05

3.181

3.181

9.773

90.0

90.0

103.46

DFT

23.367

3.262

3.262

10.146

90.0

90.0

120.0

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

1

2

3

4

5

6

62.5

31.1

35.8

0.0

0.0

0.0

31.1

60.8

34.6

0.0

0.0

-3.6

35.8

34.6

47.5

0.0

0.0

-2.6

0.0

0.0

0.0

6.9

0.6

0.0

0.0

0.0

0.0

0.6

6.7

0.0

0.0

-3.6

-2.6

0.0

0.0

8.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.931

4.296

4.296

9.508

90.0

90.0

90.0

DFT

21.426

4.315

4.315

9.207

90.0

90.0

90.0

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

1

2

3

4

5

6

47.1

55.8

61.1

0.0

0.0

0.0

55.8

47.1

61.1

0.0

0.0

0.0

61.1

61.1

76.9

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

12.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.269

8.061

8.061

4.042

90.0

90.0

90.0

DFT

24.982

7.729

7.729

4.182

90.0

90.0

90.0

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

1

2

3

4

5

6

53.3

36.7

34.8

0.0

0.0

0.0

36.7

53.3

34.8

0.0

0.0

0.0

34.8

34.8

44.7

0.0

0.0

0.0

0.0

0.0

0.0

11.0

0.0

0.0

0.0

0.0

0.0

0.0

11.0

0.0

0.0

0.0

0.0

0.0

0.0

11.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.486

7.199

6.416

6.642

90.0

90.0

85.4

DFT

26.871

6.382

6.382

9.141

90.0

90.0

120.0

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

1

2

3

4

5

6

47.8

38.0

32.4

0.0

0.0

-3.7

38.0

49.5

30.7

0.0

0.0

-1.8

32.4

30.7

50.6

0.0

0.0

5.2

0.0

0.0

0.0

5.7

-0.4

0.0

0.0

0.0

0.0

-0.4

1.4

0.0

-3.7

-1.8

5.2

0.0

0.0

10.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.942

5.597

5.597

7.611

90.0

90.0

120.0

DFT

22.112

5.395

5.395

7.896

90.0

90.0

120.0

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

1

2

3

4

5

6

66.3

61.1

63.1

0.0

0.0

0.0

61.1

66.3

63.1

0.0

0.0

0.0

63.1

63.1

83.4

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

5.2

0.0

0.0

0.0

0.0

0.0

0.0

2.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.704

7.339

7.339

7.339

90.0

90.0

90.0

DFT

23.413

7.209

7.209

7.209

90.0

90.0

90.0

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

1

2

3

4

5

6

51.2

40.3

40.3

0.0

0.0

0.0

40.3

51.2

40.3

0.0

0.0

0.0

40.3

40.3

51.2

0.0

0.0

0.0

0.0

0.0

0.0

2.2

0.0

0.0

0.0

0.0

0.0

0.0

2.2

0.0

0.0

0.0

0.0

0.0

0.0

2.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.036

9.089

5.603

7.278

90.0

90.0

107.95

DFT

21.708

6.374

6.374

9.872

90.0

90.0

120.0

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

1

2

3

4

5

6

54.5

38.3

32.3

0.0

0.0

1.2

38.3

76.3

31.2

0.0

0.0

-9.1

32.3

31.2

52.3

0.0

0.0

0.4

0.0

0.0

0.0

5.1

6.2

0.0

0.0

0.0

0.0

6.2

22.3

0.0

1.2

-9.1

0.4

0.0

0.0

10.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.003

3.887

3.887

23.302

90.0

90.0

90.0

DFT

21.443

4.48

4.48

17.095

90.0

90.0

90.0

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

1

2

3

4

5

6

62.1

56.4

22.2

0.0

0.0

0.0

56.4

62.1

22.2

0.0

0.0

0.0

22.2

22.2

42.4

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

3.6

0.0

0.0

0.0

0.0

0.0

0.0

21.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.218

3.298

3.298

4.269

90.0

90.0

90.0

DFT

23.229

3.38

3.38

4.067

90.0

90.0

90.0

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

1

2

3

4

5

6

62.9

61.6

45.8

0.0

0.0

0.0

61.6

62.9

45.8

0.0

0.0

0.0

45.8

45.8

47.4

0.0

0.0

0.0

0.0

0.0

0.0

7.1

0.0

0.0

0.0

0.0

0.0

0.0

7.1

0.0

0.0

0.0

0.0

0.0

0.0

8.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.294

7.092

7.092

7.092

90.0

90.0

90.0

DFT

21.384

6.994

6.994

6.994

90.0

90.0

90.0

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

1

2

3

4

5

6

28.0

41.0

41.0

0.0

0.0

0.0

41.0

28.0

41.0

0.0

0.0

0.0

41.0

41.0

28.0

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

-17.0