pair-51 (K-Cu-2022-10-13)

Energy distribution

../../../../_images/distribution497.png

Convex hull (formation energy)

../../../../_images/convex497.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

K

1.0

0.0

Cu

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-sep497.png

Prototype structure energy

../../../../_images/icsd-pred497.png

Phonon density of states

../../../../_images/dos497.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-01-[Fe6Ge6Mg]

-3.08229

-3.0774

icsd-97006-10-[InMg2]

-2.81633

-2.8162

icsd-42773-10-[IrGe4]

-2.67366

-2.68106

icsd-107998-10-[MoNi4]

-2.64115

-2.64123

icsd-105521-10-[Al5W]

-2.50021

-2.49967

icsd-150584-10-[Fe13Ge3]

-2.48322

-2.48531

icsd-260285-01-[UCl3]

-2.47773

-2.47922

icsd-104506-01-[Ni3Sn]

-2.47744

-2.47873

icsd-167735-10-[Ru2B3]

-2.43653

-2.43442

icsd-640726-10-[CuSmP2]

-2.41801

-2.41574

icsd-643301-01-[Au3Cd]

-2.41773

-2.41559

icsd-416747-01-[Al3Zr]

-2.41669

-2.41567

icsd-649037-01-[Ni3Ti]

-2.344

-2.34685

icsd-610464-10-[PbClF/Cu2Sb]

-2.30405

-2.30422

icsd-409859-10-[La2Sb]

-2.29907

-2.298

icsd-648748-10-[Pd4Se]

-2.28839

-2.28634

icsd-169457-10-[ZrH2]

-2.26352

-2.26288

icsd-58607-10-[Au2Ti]

-2.25889

-2.25844

icsd-652553-10-[AlCr2-MoSi2]

-2.25867

-2.25837

icsd-58471-01-[CuZr2]

-2.2569

-2.25722

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

-2.25672

-2.25686

icsd-246555-10-[Co2Nd]

-2.22708

-2.22692

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

-2.18062

-2.1794

icsd-16504-01-[CrSi2]

-2.16578

-2.16505

icsd-611176-01-[Fe2P]

-2.16261

-2.16942

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

-2.16103

-2.1614

icsd-155842-10-[Co5Fe11]

-2.15937

-2.16637

icsd-59586-01-[Pd5Th3]

-2.13567

-2.13681

icsd-105726-01-[Pd5Ti3]

-2.10262

-2.10167

icsd-420250-01-[LiPd2Tl]

-2.09401

-2.09297

icsd-105191-01-[Al3Ti]

-2.09395

-2.09298

icsd-189695-01-[CuHg2Ti]

-2.08043

-2.08004

icsd-188260-10-[Heusler-AlCu2Mn]

-2.08041

-2.08004

icsd-99787-10-[Fe3Pt]

-2.05039

-2.04961

icsd-648572-01-[CuInPt2]

-2.05023

-2.04949

icsd-609153-01-[AlPt3]

-2.05006

-2.04938

icsd-69199-01-[U3Si]

-2.05004

-2.04948

icsd-181127-10-[Auricupride-AuCu3]

-2.04945

-2.04878

icsd-103995-01-[Ga3Ti2]

-2.0419

-2.04035

icsd-239-10-[Cu3Se2]

-2.04051

-2.04185

icsd-248490-10-[Pt2Si]

-2.02931

-2.02969

icsd-16606-01-[Nb3Te4]

-2.02128

-2.04144

icsd-629380-10-[Al3Os2]

-2.00871

-2.00827

icsd-629406-10-[Cu4Ti3]

-2.00792

-2.01227

icsd-635208-10-[CoGa3]

-1.98372

-1.97838

icsd-635642-01-[Hg5Mn2]

-1.95748

-1.95886

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

-1.92129

-1.92329

icsd-185626-10-[Al3Ni2]

-1.89234

-1.89129

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

-1.88106

-1.88114

icsd-55492-01-[BaPt]

-1.87909

-1.88198

icsd-73839-10-[Ni3S2]

-1.85409

-1.83982

icsd-659829-01-[Al2Li3]

-1.83945

-1.84143

icsd-639879-10-[In5In4]

-1.81807

-1.81441

icsd-105948-01-[InNi2]

-1.80775

-1.80887

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

-1.80647

-1.80824

icsd-639879-01-[In5In4]

-1.8029

-1.80265

icsd-5258-01-[FeSi2]

-1.74967

-1.74948

icsd-639227-10-[Si2U3]

-1.73882

-1.73814

icsd-618295-01-[MoC1-x]

-1.73031

-1.72409

icsd-100654-01-[BiSe]

-1.71476

-1.71403

icsd-650527-01-[CsCl]

-1.69758

-1.69928

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

-1.69753

-1.69906

icsd-106325-01-[BiIn]

-1.69744

-1.69891

icsd-42428-01-[Fe3Pt]

-1.69736

-1.69868

icsd-108707-01-[HgMn]

-1.69732

-1.69858

icsd-59508-01-[AuCu]

-1.69732

-1.69858

icsd-102712-01-[CoU]

-1.68222

-1.69771

icsd-30446-01-[Fe2B]

-1.67566

-1.67621

icsd-103775-01-[NaTl]

-1.66551

-1.66584

icsd-240119-01-[AlLi]

-1.66537

-1.66569

icsd-105636-01-[PbU]

-1.66526

-1.6656

icsd-611457-01-[NbAs]

-1.66516

-1.66547

icsd-629406-01-[Cu4Ti3]

-1.63948

-1.62544

icsd-635060-01-[Fersilicite-FeSi]

-1.63789

-1.64362

icsd-181788-01-[NaCl]

-1.63243

-1.63939

icsd-42472-01-[CoO]

-1.63208

-1.63924

icsd-644708-01-[WC]

-1.63065

-1.62876

icsd-659856-01-[LiPt]

-1.63062

-1.62857

icsd-611618-01-[TiAs]

-1.62536

-1.63488

icsd-16606-10-[Nb3Te4]

-1.60365

-1.64849

icsd-639227-01-[Si2U3]

-1.59277

-1.59581

icsd-106786-10-[Hg2Pt]

-1.56043

-1.56127

icsd-239-01-[Cu3Se2]

-1.55466

-1.56264

icsd-629380-01-[Al3Os2]

-1.54284

-1.54722

icsd-185626-01-[Al3Ni2]

-1.53008

-1.5303

icsd-103995-10-[Ga3Ti2]

-1.52553

-1.52187

icsd-105726-10-[Pd5Ti3]

-1.5031

-1.50054

icsd-161109-01-[CoSn]

-1.47729

-1.50263

icsd-638227-10-[Fluorite-CaF2]

-1.47053

-1.46964

icsd-59586-10-[Pd5Th3]

-1.46485

-1.46881

icsd-108762-10-[Hg4Pt]

-1.43278

-1.4328

icsd-639148-10-[NiHg4]

-1.43278

-1.4328

icsd-424636-10-[MnGa4]

-1.43275

-1.43274

icsd-58607-01-[Au2Ti]

-1.42849

-1.42726

icsd-652553-01-[AlCr2-MoSi2]

-1.42755

-1.42713

icsd-58471-10-[CuZr2]

-1.42682

-1.42713

icsd-659829-10-[Al2Li3]

-1.42512

-1.42928

icsd-611176-10-[Fe2P]

-1.41822

-1.41274

icsd-5258-10-[FeSi2]

-1.41363

-1.41287

icsd-106786-01-[Hg2Pt]

-1.4126

-1.41095

icsd-30446-10-[Fe2B]

-1.4072

-1.40939

icsd-169457-01-[ZrH2]

-1.39255

-1.39318

icsd-638227-01-[Fluorite-CaF2]

-1.39246

-1.39315

icsd-248490-01-[Pt2Si]

-1.39137

-1.39242

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

-1.3905

-1.38883

icsd-610464-01-[PbClF/Cu2Sb]

-1.38926

-1.38188

icsd-105948-10-[InNi2]

-1.38794

-1.38732

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

-1.38793

-1.38733

icsd-409859-01-[La2Sb]

-1.38435

-1.3833

icsd-73839-01-[Ni3S2]

-1.3827

-1.38823

icsd-16504-10-[CrSi2]

-1.34061

-1.34141

icsd-155842-01-[Co5Fe11]

-1.31174

-1.31119

icsd-635208-01-[CoGa3]

-1.31094

-1.30923

icsd-635642-10-[Hg5Mn2]

-1.24936

-1.26242

icsd-260285-10-[UCl3]

-1.21684

-1.21894

icsd-104506-10-[Ni3Sn]

-1.21585

-1.21861

icsd-649037-10-[Ni3Ti]

-1.20606

-1.20089

icsd-643301-10-[Au3Cd]

-1.20548

-1.1886

icsd-640726-01-[CuSmP2]

-1.20545

-1.1886

icsd-416747-10-[Al3Zr]

-1.20536

-1.18853

icsd-42773-01-[IrGe4]

-1.2048

-1.19618

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

-1.20318

-1.20282

icsd-99787-01-[Fe3Pt]

-1.19676

-1.19902

icsd-648572-10-[CuInPt2]

-1.19672

-1.19898

icsd-609153-10-[AlPt3]

-1.19667

-1.19895

icsd-181127-01-[Auricupride-AuCu3]

-1.19664

-1.19891

icsd-69199-10-[U3Si]

-1.19643

-1.19874

icsd-107998-01-[MoNi4]

-1.19588

-1.19196

icsd-189695-10-[CuHg2Ti]

-1.1925

-1.19083

icsd-188260-01-[Heusler-AlCu2Mn]

-1.1925

-1.1908

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

-1.1901

-1.19932

icsd-648748-01-[Pd4Se]

-1.18933

-1.19242

icsd-105191-10-[Al3Ti]

-1.18793

-1.18915

icsd-420250-10-[LiPd2Tl]

-1.18705

-1.18948

icsd-167735-01-[Ru2B3]

-1.17848

-1.17525

icsd-108762-01-[Hg4Pt]

-1.16085

-1.1624

icsd-639148-01-[NiHg4]

-1.16085

-1.1624

icsd-424636-01-[MnGa4]

-1.16085

-1.1624

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

-1.14586

-1.14282

icsd-150584-01-[Fe13Ge3]

-1.09462

-1.08399

icsd-105521-01-[Al5W]

-1.03791

-1.03593

icsd-246555-01-[Co2Nd]

-1.03548

-1.03162

icsd-97006-01-[InMg2]

-1.03174

-1.03966

icsd-58745-10-[Fe6Ge6Mg]

-0.85121

-0.84411

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.473

7.143

7.949

8.587

90.0

90.0

90.0

DFT

28.941

7.737

7.737

7.737

90.0

90.0

90.0

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

1

2

3

4

5

6

27.7

5.8

4.6

0.0

0.0

0.0

5.8

14.5

12.7

0.0

0.0

0.0

4.6

12.7

30.1

0.0

0.0

0.0

0.0

0.0

0.0

10.6

0.0

0.0

0.0

0.0

0.0

0.0

8.0

0.0

0.0

0.0

0.0

0.0

0.0

7.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

44.428

6.229

6.229

7.932

90.0

90.0

120.0

DFT

39.07

5.959

5.959

7.622

90.0

90.0

120.0

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

1

2

3

4

5

6

31.9

26.3

26.0

0.0

0.0

0.0

26.3

31.9

26.0

0.0

0.0

0.0

26.0

26.0

41.0

0.0

0.0

0.0

0.0

0.0

0.0

8.6

0.0

0.0

0.0

0.0

0.0

0.0

8.6

0.0

0.0

0.0

0.0

0.0

0.0

2.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

40.07

4.664

4.664

4.254

90.0

90.0

120.0

DFT

37.447

4.523

4.523

4.228

90.0

90.0

120.0

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

1

2

3

4

5

6

19.9

8.7

1.7

0.0

0.0

0.0

8.7

19.9

1.7

0.0

0.0

0.0

1.7

1.7

23.5

0.0

0.0

0.0

0.0

0.0

0.0

7.0

0.0

0.0

0.0

0.0

0.0

0.0

7.0

0.0

0.0

0.0

0.0

0.0

0.0

5.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

60.035

10.472

13.183

4.349

90.0

90.0

90.0

DFT

53.33

11.152

11.152

4.288

90.0

90.0

90.0

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

1

2

3

4

5

6

13.5

5.3

2.4

0.0

0.0

0.0

5.3

5.1

1.5

0.0

0.0

0.0

2.4

1.5

15.7

0.0

0.0

0.0

0.0

0.0

0.0

2.1

0.0

0.0

0.0

0.0

0.0

0.0

1.9

0.0

0.0

0.0

0.0

0.0

0.0

5.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.705

4.267

4.267

8.22

90.0

90.0

90.0

DFT

17.843

4.071

4.071

8.614

90.0

90.0

90.0

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

1

2

3

4

5

6

19.7

56.3

42.6

0.0

0.0

0.0

56.3

19.7

42.6

0.0

0.0

0.0

42.6

42.6

57.4

0.0

0.0

0.0

0.0

0.0

0.0

-339353.6

0.0

0.0

0.0

0.0

0.0

0.0

1.8

0.0

0.0

0.0

0.0

0.0

0.0

2.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.086

3.962

3.962

3.962

90.0

90.0

90.0

DFT

31.04

3.96

3.96

3.96

90.0

90.0

90.0

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

1

2

3

4

5

6

37.5

31.5

31.5

0.0

0.0

0.0

31.5

37.5

31.5

0.0

0.0

0.0

31.5

31.5

37.5

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 (AuCu3(L12)(x=0.25))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

46.667

5.715

5.715

5.715

90.0

90.0

90.0

DFT

45.7

5.675

5.675

5.675

90.0

90.0

90.0

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

1

2

3

4

5

6

14.9

6.9

6.9

0.0

0.0

0.0

6.9

14.9

6.9

0.0

0.0

0.0

6.9

6.9

14.9

0.0

0.0

0.0

0.0

0.0

0.0

6.3

0.0

0.0

0.0

0.0

0.0

0.0

6.3

0.0

0.0

0.0

0.0

0.0

0.0

6.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

44.244

5.406

5.406

9.085

90.0

90.0

90.0

DFT

42.027

5.258

5.258

9.121

90.0

90.0

90.0

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

1

2

3

4

5

6

11.9

5.0

10.4

0.0

0.0

0.0

5.0

11.9

10.4

0.0

0.0

0.0

10.4

10.4

19.1

0.0

0.0

0.0

0.0

0.0

0.0

1.6

0.0

0.0

0.0

0.0

0.0

0.0

1.6

0.0

0.0

0.0

0.0

0.0

0.0

3.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.158

3.636

3.636

25.606

90.0

90.0

90.0

DFT

20.791

3.514

3.514

26.946

90.0

90.0

90.0

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

1

2

3

4

5

6

43.0

43.2

28.3

0.0

0.0

0.0

43.2

43.0

28.3

0.0

0.0

0.0

28.3

28.3

71.8

0.0

0.0

0.0

0.0

0.0

0.0

24.6

0.0

0.0

0.0

0.0

0.0

0.0

24.6

0.0

0.0

0.0

0.0

0.0

0.0

25.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.059

6.149

6.149

6.149

90.0

90.0

90.0

DFT

31.879

6.342

6.342

6.342

90.0

90.0

90.0

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

1

2

3

4

5

6

28.6

29.3

29.3

0.0

0.0

0.0

29.3

28.7

29.3

0.0

0.0

0.0

29.3

29.3

28.6

0.0

0.0

0.0

0.0

0.0

0.0

-51.4

0.0

0.0

0.0

0.0

0.0

0.0

-51.3

0.0

0.0

0.0

0.0

0.0

0.0

-51.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

39.172

8.653

8.653

5.232

90.0

90.0

90.0

DFT

36.87

8.601

8.601

4.984

90.0

90.0

90.0

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

1

2

3

4

5

6

22.1

7.8

8.6

0.0

0.0

0.0

7.8

22.1

8.6

0.0

0.0

0.0

8.6

8.6

14.5

0.0

0.0

0.0

0.0

0.0

0.0

4.3

0.0

0.0

0.0

0.0

0.0

0.0

4.3

0.0

0.0

0.0

0.0

0.0

0.0

1.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

55.514

9.755

10.242

4.587

90.0

90.0

104.28

DFT

44.609

8.223

8.223

6.094

90.0

90.0

120.0

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

1

2

3

4

5

6

7.2

3.8

4.7

0.0

0.0

-2.2

3.8

11.7

5.2

0.0

0.0

0.9

4.7

5.2

10.8

0.0

0.0

0.2

0.0

0.0

0.0

4.4

-0.4

0.0

0.0

0.0

0.0

-0.4

2.4

0.0

-2.2

0.9

0.2

0.0

0.0

2.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.03

3.976

15.699

7.796

90.0

90.0

90.0

DFT

22.812

2.962

17.182

8.069

90.0

90.0

90.0

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

1

2

3

4

5

6

17.0

12.8

7.6

0.0

0.0

0.0

12.8

33.3

14.7

0.0

0.0

0.0

7.6

14.7

25.2

0.0

0.0

0.0

0.0

0.0

0.0

-0.3

0.0

0.0

0.0

0.0

0.0

0.0

-16.1

0.0

0.0

0.0

0.0

0.0

0.0

-7.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.93

4.457

4.457

7.831

90.0

90.0

90.0

DFT

23.649

4.529

4.529

6.917

90.0

90.0

90.0

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

1

2

3

4

5

6

95.7

26.0

29.6

0.0

0.0

0.0

26.0

95.7

29.6

0.0

0.0

0.0

29.6

29.6

32.8

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

2.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.867

7.144

7.144

4.139

90.0

90.0

120.0

DFT

22.408

7.107

7.107

4.099

90.0

90.0

120.0

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

1

2

3

4

5

6

42.6

41.1

30.5

0.0

0.0

0.0

41.1

42.6

30.5

0.0

0.0

0.0

30.5

30.5

90.8

0.0

0.0

0.0

0.0

0.0

0.0

8.1

0.0

0.0

0.0

0.0

0.0

0.0

8.1

0.0

0.0

0.0

0.0

0.0

0.0

0.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.786

7.853

7.853

6.528

90.0

90.0

120.0

DFT

21.061

7.721

7.721

6.527

90.0

90.0

120.0

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

1

2

3

4

5

6

58.4

33.6

60.1

0.0

0.0

0.0

33.6

58.4

60.1

0.0

0.0

0.0

60.1

60.1

85.2

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

12.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.143

8.988

8.988

5.422

90.0

90.0

120.0

DFT

40.601

9.196

9.196

4.99

90.0

90.0

120.0

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

1

2

3

4

5

6

5.3

2.2

1.5

0.0

0.0

0.0

2.2

5.3

1.5

0.0

0.0

0.0

1.5

1.5

21.2

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

1.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.208

7.772

7.772

2.683

90.0

90.0

90.0

DFT

15.834

7.717

7.717

2.659

90.0

90.0

90.0

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

1

2

3

4

5

6

112.2

37.7

12.1

0.0

0.0

0.1

37.7

112.2

12.1

0.0

0.0

-0.1

12.1

12.1

92.4

0.0

0.0

0.0

0.0

0.0

0.0

11.7

0.0

0.0

0.0

0.0

0.0

0.0

11.7

0.0

0.1

-0.1

0.0

0.0

0.0

23.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

60.83

9.313

9.313

9.719

90.0

90.0

120.0

DFT

57.897

8.654

8.654

10.712

90.0

90.0

120.0

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

1

2

3

4

5

6

23.7

11.8

16.7

0.0

0.0

0.0

11.8

23.7

16.7

0.0

0.0

0.0

16.7

16.7

28.0

0.0

0.0

0.0

0.0

0.0

0.0

10.1

0.0

0.0

0.0

0.0

0.0

0.0

10.1

0.0

0.0

0.0

0.0

0.0

0.0

6.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.158

7.132

7.132

4.643

89.03

89.03

94.25

DFT

28.237

6.898

6.898

6.167

90.0

90.0

120.0

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

1

2

3

4

5

6

65.2

22.5

29.1

-1.2

-2.8

0.3

22.5

65.0

29.5

-3.1

-1.3

-1.9

29.1

29.5

82.1

5.4

5.0

2.8

-1.2

-3.1

5.4

11.9

0.7

-1.8

-2.8

-1.3

5.0

0.7

11.8

-1.9

0.3

-1.9

2.8

-1.8

-1.9

6.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.232

6.751

6.751

6.751

90.0

90.0

90.0

DFT

18.376

6.65

6.65

6.65

90.0

90.0

90.0

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

1

2

3

4

5

6

10.7

35.4

35.4

0.0

30794.4

-30484.1

35.4

10.7

35.4

0.0

-234240.7

31281.1

35.4

35.4

10.7

0.0

-27409.9

188113.4

0.0

0.0

0.0

2.8

-3.5

-21103.3

30794.4

-234240.7

-27409.9

-3.5

15.5

-5783.8

-30484.1

31281.1

188113.4

-21103.3

-5783.8

10496.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.578

7.386

4.211

4.947

90.0

90.0

106.56

DFT

22.64

5.186

5.186

5.832

90.0

90.0

120.0

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

1

2

3

4

5

6

51.9

25.3

25.5

0.0

0.0

7.9

25.3

97.2

49.5

0.0

0.0

-22.6

25.5

49.5

98.1

0.0

0.0

-7.9

0.0

0.0

0.0

26.6

-4.7

0.0

0.0

0.0

0.0

-4.7

12.1

0.0

7.9

-22.6

-7.9

0.0

0.0

11.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.957

4.233

4.233

4.233

90.0

90.0

90.0

DFT

18.198

4.175

4.175

4.175

90.0

90.0

90.0

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

1

2

3

4

5

6

39.2

39.8

39.8

0.0

0.0

0.0

39.8

39.2

39.8

0.0

0.0

0.0

39.8

39.8

39.2

0.0

0.0

0.0

0.0

0.0

0.0

12.9

0.0

0.0

0.0

0.0

0.0

0.0

12.9

0.0

0.0

0.0

0.0

0.0

0.0

12.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

49.103

5.54

5.54

12.798

90.0

90.0

90.0

DFT

44.113

5.876

5.876

10.222

90.0

90.0

90.0

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

1

2

3

4

5

6

10.9

29.7

7.6

0.0

0.0

0.0

29.7

10.9

7.6

0.0

0.0

0.0

7.6

7.6

13.2

0.0

0.0

0.0

0.0

0.0

0.0

8.9

0.0

0.0

0.0

0.0

0.0

0.0

8.9

0.0

0.0

0.0

0.0

0.0

0.0

12.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.389

9.473

9.473

2.94

90.0

90.0

90.0

DFT

26.098

9.566

9.566

2.852

90.0

90.0

90.0

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

1

2

3

4

5

6

30.3

41.2

6.7

0.0

0.0

0.0

41.2

30.3

6.7

0.0

0.0

0.0

6.7

6.7

11.3

0.0

0.0

0.0

0.0

0.0

0.0

28680.7

-3153.1

0.0

0.0

0.0

0.0

-3153.1

28680.7

0.0

0.0

0.0

0.0

0.0

0.0

21.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.593

6.493

6.493

8.082

90.0

90.0

120.0

DFT

19.818

5.478

5.478

9.15

90.0

90.0

120.0

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

1

2

3

4

5

6

57.6

29.7

38.8

0.0

0.0

0.0

29.7

57.6

38.8

0.0

0.0

0.0

38.8

38.8

104.6

0.0

0.0

0.0

0.0

0.0

0.0

21.3

0.0

0.0

0.0

0.0

0.0

0.0

21.3

0.0

0.0

0.0

0.0

0.0

0.0

14.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.238

7.319

5.718

9.867

90.0

90.0

112.99

DFT

38.94

6.433

6.433

9.778

90.0

90.0

120.0

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

1

2

3

4

5

6

13.8

6.0

3.8

0.0

0.0

-2.6

6.0

16.6

4.7

0.0

0.0

1.2

3.8

4.7

12.0

0.0

0.0

-0.5

0.0

0.0

0.0

18574.3

30021.7

0.0

0.0

0.0

0.0

30021.7

38366.9

0.0

-2.6

1.2

-0.5

0.0

0.0

4.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.058

7.565

7.565

7.565

90.0

90.0

90.0

DFT

26.388

7.502

7.502

7.502

90.0

90.0

90.0

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

1

2

3

4

5

6

37.3

32.8

32.8

23836.4

5997.6

0.0

32.8

37.3

32.8

-23836.4

-17839.9

0.0

32.8

32.8

37.3

0.0

5996.8

0.0

23836.4

-23836.4

0.0

5.1

-4078.7

0.0

5997.6

-17839.9

5996.8

-4078.7

8155.6

4078.7

0.0

0.0

0.0

0.0

4078.7

7.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

47.303

8.27

8.27

12.78

90.0

90.0

120.0

DFT

44.913

8.08

8.08

12.709

90.0

90.0

120.0

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

1

2

3

4

5

6

13.9

8.5

11.7

0.0

0.0

0.0

8.5

13.9

11.7

0.0

0.0

0.0

11.7

11.7

16.9

0.0

0.0

0.0

0.0

0.0

0.0

3.4

0.0

0.0

0.0

0.0

0.0

0.0

3.4

0.0

0.0

0.0

0.0

0.0

0.0

2.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

46.656

5.686

5.686

23.088

90.0

90.0

90.0

DFT

45.159

5.659

5.659

22.561

90.0

90.0

90.0

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

1

2

3

4

5

6

19.2

12.4

8.5

0.0

0.0

0.0

12.4

19.2

8.5

0.0

0.0

0.0

8.5

8.5

8.6

0.0

0.0

0.0

0.0

0.0

0.0

7.3

0.0

0.0

0.0

0.0

0.0

0.0

7.3

0.0

0.0

0.0

0.0

0.0

0.0

8.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.086

3.962

3.962

3.962

90.0

90.0

90.0

DFT

30.851

3.933

3.933

3.988

90.0

90.0

90.0

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

1

2

3

4

5

6

37.5

31.5

31.5

0.0

0.0

0.0

31.5

37.5

31.5

0.0

0.0

0.0

31.5

31.5

37.5

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 (AlCu2Mn(L21)(x=0.25))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

43.483

8.861

8.861

8.861

90.0

90.0

90.0

DFT

43.401

8.855

8.855

8.855

90.0

90.0

90.0

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

1

2

3

4

5

6

34.1

30.6

30.6

0.0

0.0

0.0

30.6

34.1

30.6

0.0

0.0

0.0

30.6

30.6

34.1

0.0

0.0

0.0

0.0

0.0

0.0

1.1

0.0

0.0

0.0

0.0

0.0

0.0

1.1

0.0

0.0

0.0

0.0

0.0

0.0

1.1