pair-50 (K-In-2022-10-13)

Energy distribution

../../../../_images/distribution512.png

Convex hull (formation energy)

../../../../_images/convex512.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

K

0.5

-0.1089

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

0.6667

-0.1273

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

0.75

-0.102

icsd-635208-10-[CoGa3]

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-sep512.png

Prototype structure energy

../../../../_images/icsd-pred512.png

Phonon density of states

../../../../_images/dos512.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-01-[Fe6Ge6Mg]

-2.23051

-2.22604

icsd-97006-10-[InMg2]

-2.15344

-2.14981

icsd-150584-10-[Fe13Ge3]

-2.08409

-2.08763

icsd-107998-10-[MoNi4]

-2.08317

-2.08356

icsd-105521-10-[Al5W]

-2.06824

-2.06888

icsd-104506-01-[Ni3Sn]

-2.02886

-2.02943

icsd-260285-01-[UCl3]

-2.02866

-2.02943

icsd-167735-10-[Ru2B3]

-2.02848

-2.02945

icsd-42773-10-[IrGe4]

-2.01777

-2.0431

icsd-420250-01-[LiPd2Tl]

-1.98372

-1.98325

icsd-105191-01-[Al3Ti]

-1.98372

-1.98325

icsd-188260-10-[Heusler-AlCu2Mn]

-1.98369

-1.98301

icsd-189695-01-[CuHg2Ti]

-1.98368

-1.98301

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

-1.97273

-1.9744

icsd-648748-10-[Pd4Se]

-1.96897

-1.97068

icsd-649037-01-[Ni3Ti]

-1.96763

-1.97017

icsd-643301-01-[Au3Cd]

-1.96536

-1.96603

icsd-640726-10-[CuSmP2]

-1.96536

-1.96603

icsd-416747-01-[Al3Zr]

-1.96535

-1.96603

icsd-610464-10-[PbClF/Cu2Sb]

-1.9649

-1.96387

icsd-409859-10-[La2Sb]

-1.96084

-1.96269

icsd-246555-10-[Co2Nd]

-1.95314

-1.95281

icsd-648572-01-[CuInPt2]

-1.95141

-1.95133

icsd-99787-10-[Fe3Pt]

-1.95141

-1.95133

icsd-181127-10-[Auricupride-AuCu3]

-1.95141

-1.95133

icsd-69199-01-[U3Si]

-1.95141

-1.95134

icsd-609153-01-[AlPt3]

-1.95124

-1.95136

icsd-155842-10-[Co5Fe11]

-1.90768

-1.90685

icsd-58607-10-[Au2Ti]

-1.90577

-1.90511

icsd-652553-10-[AlCr2-MoSi2]

-1.90564

-1.90511

icsd-58471-01-[CuZr2]

-1.90528

-1.90507

icsd-611176-01-[Fe2P]

-1.89204

-1.88646

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

-1.85296

-1.85404

icsd-59586-01-[Pd5Th3]

-1.85055

-1.84454

icsd-169457-10-[ZrH2]

-1.84791

-1.84592

icsd-635642-01-[Hg5Mn2]

-1.8147

-1.82557

icsd-659829-01-[Al2Li3]

-1.81319

-1.80945

icsd-105726-01-[Pd5Ti3]

-1.81111

-1.81126

icsd-103995-01-[Ga3Ti2]

-1.79772

-1.79949

icsd-16504-01-[CrSi2]

-1.79704

-1.79294

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

-1.78191

-1.78137

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

-1.77895

-1.78399

icsd-105948-01-[InNi2]

-1.77086

-1.77182

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

-1.77086

-1.77182

icsd-639879-10-[In5In4]

-1.76484

-1.76458

icsd-5258-01-[FeSi2]

-1.76003

-1.76008

icsd-239-10-[Cu3Se2]

-1.75952

-1.75992

icsd-629406-10-[Cu4Ti3]

-1.75782

-1.7532

icsd-629380-10-[Al3Os2]

-1.75411

-1.75505

icsd-16606-01-[Nb3Te4]

-1.72973

-1.712

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

-1.7085

-1.70957

icsd-635208-10-[CoGa3]

-1.68514

-1.68387

icsd-611457-01-[NbAs]

-1.66195

-1.66183

icsd-105636-01-[PbU]

-1.66195

-1.66183

icsd-240119-01-[AlLi]

-1.6619

-1.66179

icsd-103775-01-[NaTl]

-1.6619

-1.66184

icsd-73839-10-[Ni3S2]

-1.64992

-1.64631

icsd-30446-01-[Fe2B]

-1.63759

-1.63764

icsd-55492-01-[BaPt]

-1.61695

-1.61739

icsd-639227-10-[Si2U3]

-1.61536

-1.61361

icsd-639879-01-[In5In4]

-1.61062

-1.61363

icsd-102712-01-[CoU]

-1.58831

-1.58459

icsd-618295-01-[MoC1-x]

-1.57897

-1.58157

icsd-108707-01-[HgMn]

-1.53088

-1.5302

icsd-59508-01-[AuCu]

-1.53088

-1.5302

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

-1.53088

-1.5302

icsd-42428-01-[Fe3Pt]

-1.53087

-1.53125

icsd-106325-01-[BiIn]

-1.53078

-1.5306

icsd-650527-01-[CsCl]

-1.51541

-1.51207

icsd-100654-01-[BiSe]

-1.50236

-1.50052

icsd-629406-01-[Cu4Ti3]

-1.50056

-1.50114

icsd-635060-01-[Fersilicite-FeSi]

-1.4933

-1.49699

icsd-626692-01-[Nickeline-NiAs]

-1.49329

-1.49206

icsd-168897-01-[LaI]

-1.49329

-1.49206

icsd-618702-01-[ScTe]

-1.49313

-1.49262

icsd-611618-01-[TiAs]

-1.49313

-1.49262

icsd-639037-01-[HgIn]

-1.49311

-1.49299

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

-1.49311

-1.49299

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

-1.49311

-1.49299

icsd-644708-01-[WC]

-1.49073

-1.49148

icsd-659856-01-[LiPt]

-1.49072

-1.49148

icsd-16606-10-[Nb3Te4]

-1.48997

-1.49435

icsd-108762-10-[Hg4Pt]

-1.48995

-1.49053

icsd-639148-10-[NiHg4]

-1.48995

-1.49053

icsd-424636-10-[MnGa4]

-1.48988

-1.49048

icsd-659829-10-[Al2Li3]

-1.46831

-1.45581

icsd-106786-10-[Hg2Pt]

-1.45776

-1.45732

icsd-185626-10-[Al3Ni2]

-1.45578

-1.44911

icsd-639227-01-[Si2U3]

-1.43556

-1.43539

icsd-103995-10-[Ga3Ti2]

-1.43502

-1.43067

icsd-248490-10-[Pt2Si]

-1.43387

-1.43418

icsd-638227-10-[Fluorite-CaF2]

-1.43387

-1.43386

icsd-185626-01-[Al3Ni2]

-1.42456

-1.42809

icsd-239-01-[Cu3Se2]

-1.41929

-1.41886

icsd-629380-01-[Al3Os2]

-1.40555

-1.40386

icsd-30446-10-[Fe2B]

-1.3877

-1.38776

icsd-59586-10-[Pd5Th3]

-1.37962

-1.37191

icsd-105726-10-[Pd5Ti3]

-1.37003

-1.36853

icsd-181788-01-[NaCl]

-1.33104

-1.33091

icsd-42472-01-[CoO]

-1.33102

-1.33092

icsd-58607-01-[Au2Ti]

-1.31403

-1.31185

icsd-58471-10-[CuZr2]

-1.31395

-1.31184

icsd-652553-01-[AlCr2-MoSi2]

-1.31386

-1.3118

icsd-611176-10-[Fe2P]

-1.30061

-1.30614

icsd-5258-10-[FeSi2]

-1.29677

-1.29282

icsd-106786-01-[Hg2Pt]

-1.29357

-1.29655

icsd-16504-10-[CrSi2]

-1.29059

-1.28948

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

-1.28211

-1.28424

icsd-105948-10-[InNi2]

-1.28211

-1.28424

icsd-73839-01-[Ni3S2]

-1.2809

-1.29678

icsd-409859-01-[La2Sb]

-1.26509

-1.26928

icsd-610464-01-[PbClF/Cu2Sb]

-1.25804

-1.25602

icsd-155842-01-[Co5Fe11]

-1.2523

-1.25885

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

-1.23737

-1.24045

icsd-635642-10-[Hg5Mn2]

-1.23613

-1.24189

icsd-635208-01-[CoGa3]

-1.23202

-1.25185

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

-1.23088

-1.22973

icsd-161109-01-[CoSn]

-1.22803

-1.22907

icsd-169457-01-[ZrH2]

-1.21683

-1.21673

icsd-638227-01-[Fluorite-CaF2]

-1.21682

-1.21676

icsd-248490-01-[Pt2Si]

-1.21681

-1.21676

icsd-104506-10-[Ni3Sn]

-1.19567

-1.19292

icsd-260285-10-[UCl3]

-1.19563

-1.19291

icsd-649037-10-[Ni3Ti]

-1.1892

-1.18442

icsd-420250-10-[LiPd2Tl]

-1.18634

-1.18713

icsd-105191-10-[Al3Ti]

-1.18634

-1.18713

icsd-188260-01-[Heusler-AlCu2Mn]

-1.1856

-1.17856

icsd-189695-10-[CuHg2Ti]

-1.1856

-1.17856

icsd-643301-10-[Au3Cd]

-1.18398

-1.1821

icsd-416747-10-[Al3Zr]

-1.18394

-1.18209

icsd-640726-01-[CuSmP2]

-1.18393

-1.18209

icsd-181127-01-[Auricupride-AuCu3]

-1.17821

-1.17934

icsd-648572-10-[CuInPt2]

-1.17821

-1.17934

icsd-609153-10-[AlPt3]

-1.1782

-1.17931

icsd-99787-01-[Fe3Pt]

-1.1782

-1.17933

icsd-69199-10-[U3Si]

-1.17804

-1.17913

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

-1.16784

-1.17174

icsd-648748-01-[Pd4Se]

-1.1445

-1.14327

icsd-42773-01-[IrGe4]

-1.1277

-1.12724

icsd-107998-01-[MoNi4]

-1.11812

-1.11861

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

-1.10119

-1.10433

icsd-424636-01-[MnGa4]

-1.097

-1.09857

icsd-108762-01-[Hg4Pt]

-1.09699

-1.09857

icsd-639148-01-[NiHg4]

-1.09699

-1.09857

icsd-150584-01-[Fe13Ge3]

-1.0931

-1.08871

icsd-167735-01-[Ru2B3]

-1.08924

-1.08762

icsd-246555-01-[Co2Nd]

-1.08698

-1.08578

icsd-105521-01-[Al5W]

-1.05347

-1.05396

icsd-97006-01-[InMg2]

-1.00874

-1.01189

icsd-58745-10-[Fe6Ge6Mg]

-0.8482

-0.85587

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

41.254

8.707

8.707

8.707

90.0

90.0

90.0

DFT

37.798

8.457

8.457

8.457

90.0

90.0

90.0

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

1

2

3

4

5

6

-1.3

20.0

20.0

0.0

0.0

0.0

20.0

-1.3

20.0

0.0

0.0

0.0

20.0

20.0

-1.3

0.0

0.0

0.0

0.0

0.0

0.0

1.0

0.0

0.0

0.0

0.0

0.0

0.0

1.0

0.0

0.0

0.0

0.0

0.0

0.0

1.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

50.69

8.49

6.253

7.693

72.59

118.79

121.64

DFT

47.141

6.457

6.457

7.834

90.0

90.0

120.0

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

1

2

3

4

5

6

10.0

2.8

5.4

-1.0

1.2

-0.9

2.8

16.2

2.9

-0.4

-0.2

1.6

5.4

2.9

10.0

1.1

-3.0

-1.8

-1.0

-0.4

1.1

2.4

-0.1

-0.9

1.2

-0.2

-3.0

-0.1

4.8

0.0

-0.9

1.6

-1.8

-0.9

0.0

1.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.273

3.786

3.786

5.682

90.0

90.0

120.0

DFT

38.112

3.785

3.785

6.143

90.0

90.0

120.0

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

1

2

3

4

5

6

14.7

13.7

5.2

0.0

0.0

0.0

13.7

14.7

5.2

0.0

0.0

0.0

5.2

5.2

30.3

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

0.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

59.494

11.33

11.33

4.635

90.0

90.0

90.0

DFT

52.864

9.354

9.354

6.042

90.0

90.0

90.0

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

1

2

3

4

5

6

3.0

0.5

1.0

0.0

0.0

-0.2

0.5

3.0

1.0

0.0

0.0

0.2

1.0

1.0

7.1

0.0

0.0

0.0

0.0

0.0

0.0

2.6

0.0

0.0

0.0

0.0

0.0

0.0

2.6

0.0

-0.2

0.2

0.0

0.0

0.0

2.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.99

5.536

5.536

7.829

90.0

90.0

90.0

DFT

30.214

5.556

5.556

7.831

90.0

90.0

90.0

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

1

2

3

4

5

6

48.0

16.1

30.3

0.0

0.0

0.0

16.1

48.0

30.3

0.0

0.0

0.0

30.3

30.3

33.8

0.0

0.0

0.0

0.0

0.0

0.0

16.0

0.0

0.0

0.0

0.0

0.0

0.0

16.0

0.0

0.0

0.0

0.0

0.0

0.0

1.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

45.661

4.503

4.503

4.503

90.0

90.0

90.0

DFT

38.821

4.266

4.266

4.266

90.0

90.0

90.0

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

1

2

3

4

5

6

23.2

13.6

13.6

0.0

0.0

0.0

13.6

23.2

13.6

0.0

0.0

0.0

13.6

13.6

23.2

0.0

0.0

0.0

0.0

0.0

0.0

13.1

0.0

0.0

0.0

0.0

0.0

0.0

13.1

0.0

0.0

0.0

0.0

0.0

0.0

13.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

49.253

5.819

5.819

5.819

90.0

90.0

90.0

DFT

50.399

5.864

5.864

5.864

90.0

90.0

90.0

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

1

2

3

4

5

6

15.6

9.7

9.7

0.0

0.0

0.0

9.7

15.6

9.7

0.0

0.0

0.0

9.7

9.7

15.6

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

4.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

47.771

5.444

5.444

9.671

90.0

90.0

90.0

DFT

50.344

5.435

5.435

10.224

90.0

90.0

90.0

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

1

2

3

4

5

6

10.4

9.7

5.6

0.0

0.0

0.0

9.7

10.4

5.6

0.0

0.0

0.0

5.6

5.6

12.0

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

0.8

0.0

0.0

0.0

0.0

0.0

0.0

5.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.355

5.002

5.002

20.048

90.0

90.0

90.0

DFT

30.91

5.076

5.076

19.194

90.0

90.0

90.0

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

1

2

3

4

5

6

27.6

15.1

13.7

0.0

0.0

0.0

15.1

27.6

13.7

0.0

0.0

0.0

13.7

13.7

17.3

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

10.6

0.0

0.0

0.0

0.0

0.0

0.0

9.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

41.734

6.937

6.937

6.937

90.0

90.0

90.0

DFT

40.126

6.847

6.847

6.847

90.0

90.0

90.0

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

1

2

3

4

5

6

14.6

7.5

10.1

-0.3

3352.5

8614.9

7.5

13.8

8.5

0.7

-3352.5

-8614.9

10.1

8.5

16.9

1.6

0.2

-0.8

-0.3

0.7

1.6

-49632.4

3350.2

0.0

3352.5

-3352.5

0.2

3350.2

-49632.4

11964.6

8614.9

-8614.9

-0.8

0.0

11964.6

-49632.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

44.692

9.026

9.026

5.486

90.0

90.0

90.0

DFT

46.663

9.946

9.946

4.717

90.0

90.0

90.0

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

1

2

3

4

5

6

31.0

16.9

7.9

0.0

0.0

0.0

16.9

31.0

7.9

0.0

0.0

0.0

7.9

7.9

20.2

0.0

0.0

0.0

0.0

0.0

0.0

7.8

0.0

0.0

0.0

0.0

0.0

0.0

7.8

0.0

0.0

0.0

0.0

0.0

0.0

5.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

49.101

9.059

9.059

5.527

90.0

90.0

120.0

DFT

50.722

8.36

8.36

6.705

90.0

90.0

120.0

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

1

2

3

4

5

6

12.4

3.1

7.4

0.0

0.0

0.0

3.1

12.4

7.4

0.0

0.0

0.0

7.4

7.4

17.8

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

8.0

0.0

0.0

0.0

0.0

0.0

0.0

4.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.538

3.319

17.166

9.647

90.0

90.0

90.0

DFT

35.29

3.583

18.52

9.573

90.0

90.0

90.0

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

1

2

3

4

5

6

45.3

9.8

9.0

0.0

0.0

0.0

9.8

40.9

8.6

0.0

0.0

0.0

9.0

8.6

48.6

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

-29330.7

0.0

0.0

0.0

0.0

0.0

0.0

-17.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.253

4.92

4.92

9.482

90.0

90.0

90.0

DFT

35.495

4.888

4.888

8.913

90.0

90.0

90.0

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

1

2

3

4

5

6

15.2

15.8

13.1

0.0

0.0

0.0

15.8

15.2

13.1

0.0

0.0

0.0

13.1

13.1

19.0

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

8.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

37.545

8.222

8.222

5.131

90.0

90.0

120.0

DFT

34.986

7.903

7.903

5.174

90.0

90.0

120.0

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

1

2

3

4

5

6

21.8

19.7

16.2

0.0

0.0

0.0

19.7

21.9

16.2

0.0

0.0

0.0

16.2

16.2

42.8

0.0

0.0

0.0

0.0

0.0

0.0

8.5

0.0

0.0

0.0

0.0

0.0

0.0

8.5

0.0

0.0

0.0

0.0

0.0

0.0

1.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.478

7.354

7.354

11.096

90.0

90.0

120.0

DFT

31.275

7.207

7.207

11.125

90.0

90.0

120.0

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

1

2

3

4

5

6

10.8

4.9

12.1

0.0

0.0

0.0

4.9

10.8

12.1

0.0

0.0

0.0

12.1

12.1

33.4

0.0

0.0

0.0

0.0

0.0

0.0

5.7

0.0

0.0

0.0

0.0

0.0

0.0

5.7

0.0

0.0

0.0

0.0

0.0

0.0

3.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

45.2

10.743

10.743

4.07

90.0

90.0

120.0

DFT

44.936

11.088

11.088

3.798

90.0

90.0

120.0

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

1

2

3

4

5

6

9.6

3.4

-0.4

0.0

0.0

0.0

3.4

9.6

-0.4

0.0

0.0

0.0

-0.4

-0.4

11.1

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

3.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.298

7.407

7.407

5.887

90.0

90.0

90.0

DFT

31.496

7.295

7.295

5.919

90.0

90.0

90.0

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

1

2

3

4

5

6

39.2

28.2

23.7

0.0

0.0

0.0

28.2

39.2

23.7

0.0

0.0

0.0

23.7

23.7

39.2

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

3.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

53.694

10.555

10.829

9.494

89.99

90.02

143.57

DFT

49.41

8.411

8.411

9.679

90.0

90.0

120.0

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

1

2

3

4

5

6

5.6

3.4

2.9

0.0

-1617.4

0.3

3.4

11.5

7.5

0.0

-1762.5

0.8

2.9

7.5

12.0

0.0

11531.9

1.3

0.0

0.0

0.0

2.6

27.7

0.0

-1617.4

-1762.5

11531.9

27.7

17.5

3832.3

0.3

0.8

1.3

0.0

3832.3

1.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

41.261

7.145

7.778

7.927

97.93

90.89

121.16

DFT

34.361

6.231

6.231

9.198

90.0

90.0

120.0

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

1

2

3

4

5

6

34.3

18.6

16.5

-0.4

1.1

-0.5

18.6

19.3

13.7

-3.0

-0.8

-2.3

16.5

13.7

33.8

-1.2

-2.1

-1.2

-0.4

-3.0

-1.2

5.5

-0.8

-1.4

1.1

-0.8

-2.1

-0.8

3.6

0.4

-0.5

-2.3

-1.2

-1.4

0.4

4.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.99

7.829

7.829

7.829

90.0

90.0

90.0

DFT

30.238

7.85

7.85

7.85

90.0

90.0

90.0

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

1

2

3

4

5

6

33.8

30.3

30.3

0.0

0.0

0.0

30.3

33.8

30.3

0.0

0.0

0.0

30.3

30.3

33.8

0.0

0.0

0.0

0.0

0.0

0.0

16.0

0.0

0.0

0.0

0.0

0.0

0.0

16.0

0.0

0.0

0.0

0.0

0.0

0.0

16.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.34

5.412

5.412

6.704

90.0

90.0

120.0

DFT

33.244

5.765

5.765

6.93

90.0

90.0

120.0

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

1

2

3

4

5

6

27.6

8.7

-12.8

0.0

0.0

13452.4

8.7

27.6

-12.8

0.0

0.0

13452.4

-12.8

-12.8

72.5

0.0

0.0

31021.9

0.0

0.0

0.0

12.3

0.0

0.0

0.0

0.0

0.0

0.0

12.3

4.0

13452.4

13452.4

31021.9

0.0

4.0

15.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.152

4.995

4.995

4.995

90.0

90.0

90.0

DFT

30.787

4.975

4.975

4.975

90.0

90.0

90.0

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

1

2

3

4

5

6

15.8

13.0

13.0

0.0

0.0

0.0

13.0

15.8

13.0

0.0

0.0

0.0

13.0

13.0

15.8

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

10.5

0.0

0.0

0.0

0.0

0.0

0.0

10.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

37.621

3.817

3.817

11.929

90.0

90.0

120.0

DFT

38.104

3.785

3.785

12.283

90.0

90.0

120.0

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

1

2

3

4

5

6

10.0

8.0

5.3

0.0

0.0

0.0

8.0

10.0

5.3

0.0

0.0

0.0

5.3

5.3

23.2

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

1.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

43.67

6.275

6.275

8.874

90.0

90.0

90.0

DFT

49.659

5.81

5.81

11.771

90.0

90.0

90.0

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

1

2

3

4

5

6

16.9

3.2

6.4

0.0

0.0

0.0

3.2

16.9

6.4

0.0

0.0

0.0

6.4

6.4

13.7

0.0

0.0

0.0

0.0

0.0

0.0

6.9

0.0

0.0

0.0

0.0

0.0

0.0

6.9

0.0

0.0

0.0

0.0

0.0

0.0

3.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

37.696

12.804

7.738

3.805

90.0

90.0

90.0

DFT

38.501

10.701

10.701

3.362

90.0

90.0

90.0

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

1

2

3

4

5

6

27.0

7.8

8.3

0.0

0.0

0.0

7.8

43.2

11.5

0.0

0.0

0.0

8.3

11.5

13.6

0.0

0.0

0.0

0.0

0.0

0.0

7.2

0.0

0.0

0.0

0.0

0.0

0.0

6.9

0.0

0.0

0.0

0.0

0.0

0.0

9.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.057

6.625

6.625

10.436

90.0

90.0

120.0

DFT

32.497

6.606

6.606

10.319

90.0

90.0

120.0

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

1

2

3

4

5

6

34.4

21.1

18.3

0.0

0.0

0.0

21.1

34.4

18.3

0.0

0.0

0.0

18.3

18.3

33.0

0.0

0.0

0.0

0.0

0.0

0.0

9.0

0.0

0.0

0.0

0.0

0.0

0.0

9.0

0.0

0.0

0.0

0.0

0.0

0.0

6.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

46.24

6.853

6.853

10.232

90.0

90.0

120.0

DFT

45.498

6.857

6.857

10.056

90.0

90.0

120.0

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

1

2

3

4

5

6

22.4

10.8

5.3

0.0

0.0

0.0

10.8

22.4

5.3

0.0

0.0

0.0

5.3

5.3

19.5

0.0

0.0

0.0

0.0

0.0

0.0

-0.1

0.0

0.0

0.0

0.0

0.0

0.0

-0.1

0.0

0.0

0.0

0.0

0.0

0.0

5.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.817

8.149

8.149

8.149

90.0

90.0

90.0

DFT

33.588

8.13

8.13

8.13

90.0

90.0

90.0

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

1

2

3

4

5

6

27.4

12.7

12.7

0.0

0.0

0.0

12.7

27.4

12.7

0.0

0.0

0.0

12.7

12.7

27.4

0.0

0.0

0.0

0.0

0.0

0.0

13.3

0.0

0.0

0.0

0.0

0.0

0.0

13.3

0.0

0.0

0.0

0.0

0.0

0.0

13.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

48.487

8.227

8.227

13.236

90.0

90.0

120.0

DFT

50.371

8.289

8.289

13.545

90.0

90.0

120.0

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

1

2

3

4

5

6

14.6

8.2

6.5

0.0

0.0

0.0

8.2

14.6

6.5

0.0

0.0

0.0

6.5

6.5

16.2

0.0

0.0

0.0

0.0

0.0

0.0

2.7

0.0

0.0

0.0

0.0

0.0

0.0

2.7

0.0

0.0

0.0

0.0

0.0

0.0

3.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

47.218

5.946

5.946

21.369

90.0

90.0

90.0

DFT

50.204

5.826

5.826

23.667

90.0

90.0

90.0

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

1

2

3

4

5

6

16.3

9.4

10.5

0.0

0.0

0.0

9.4

16.3

10.5

0.0

0.0

0.0

10.5

10.5

12.5

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

7.6

0.0

0.0

0.0

0.0

0.0

0.0

5.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.489

3.45

3.45

5.291

90.0

90.0

90.0

DFT

37.542

3.608

3.608

5.768

90.0

90.0

90.0

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

1

2

3

4

5

6

54.1

16.9

0.0

0.0

0.0

0.0

16.9

54.1

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

23.9

0.0

0.0

0.0

0.0

0.0

0.0

23.9

0.0

0.0

0.0

0.0

0.0

0.0

2.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

43.67

8.874

8.874

8.874

90.0

90.0

90.0

DFT

49.637

9.261

9.261

9.261

90.0

90.0

90.0

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

1

2

3

4

5

6

13.7

6.4

6.4

0.0

0.0

0.0

6.4

13.7

6.4

0.0

0.0

0.0

6.4

6.4

13.7

0.0

0.0

0.0

0.0

0.0

0.0

6.9

0.0

0.0

0.0

0.0

0.0

0.0

6.9

0.0

0.0

0.0

0.0

0.0

0.0

6.9