pair-49 (Na-In-2022-06-17)

Energy distribution

../../../../_images/distribution848.png

Convex hull (formation energy)

../../../../_images/convex848.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Na

0.25

-0.0805

icsd-188260-01-[Heusler-AlCu2Mn]

0.25

-0.0805

icsd-105191-10-[Al3Ti]

0.25

-0.0805

icsd-420250-10-[LiPd2Tl]

0.25

-0.0805

icsd-189695-10-[CuHg2Ti]

0.5

-0.1483

icsd-103775-01-[NaTl]

0.5

-0.1483

icsd-240119-01-[AlLi]

0.5

-0.1483

icsd-105636-01-[PbU]

0.5

-0.1483

icsd-611457-01-[NbAs]

0.6667

-0.1707

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

0.9231

-0.1083

icsd-58745-01-[Fe6Ge6Mg]

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-sep848.png

Prototype structure energy

../../../../_images/icsd-pred848.png

Phonon density of states

../../../../_images/dos848.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-97006-10-[InMg2]

-2.22018

-2.20619

icsd-105521-10-[Al5W]

-2.17668

-2.17613

icsd-150584-10-[Fe13Ge3]

-2.16598

-2.15128

icsd-107998-10-[MoNi4]

-2.15858

-2.15633

icsd-58745-01-[Fe6Ge6Mg]

-2.15505

-2.2177

icsd-260285-01-[UCl3]

-2.12468

-2.11631

icsd-104506-01-[Ni3Sn]

-2.12465

-2.11611

icsd-649037-01-[Ni3Ti]

-2.12081

-2.11864

icsd-609153-01-[AlPt3]

-2.11699

-2.11909

icsd-69199-01-[U3Si]

-2.11699

-2.11942

icsd-648572-01-[CuInPt2]

-2.11693

-2.1189

icsd-99787-10-[Fe3Pt]

-2.11693

-2.1189

icsd-181127-10-[Auricupride-AuCu3]

-2.11693

-2.1189

icsd-416747-01-[Al3Zr]

-2.11457

-2.11564

icsd-643301-01-[Au3Cd]

-2.11457

-2.11564

icsd-640726-10-[CuSmP2]

-2.11457

-2.11564

icsd-105191-01-[Al3Ti]

-2.11024

-2.11161

icsd-420250-01-[LiPd2Tl]

-2.11024

-2.11161

icsd-42773-10-[IrGe4]

-2.10968

-2.10263

icsd-188260-10-[Heusler-AlCu2Mn]

-2.09933

-2.09187

icsd-189695-01-[CuHg2Ti]

-2.09933

-2.09187

icsd-648748-10-[Pd4Se]

-2.05502

-2.06196

icsd-167735-10-[Ru2B3]

-2.04379

-2.05366

icsd-155842-10-[Co5Fe11]

-2.04003

-2.0447

icsd-58471-01-[CuZr2]

-2.02855

-2.03683

icsd-58607-10-[Au2Ti]

-2.02855

-2.03683

icsd-652553-10-[AlCr2-MoSi2]

-2.02852

-2.03682

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

-2.02302

-2.03034

icsd-635642-01-[Hg5Mn2]

-2.01125

-2.01307

icsd-246555-10-[Co2Nd]

-2.00736

-2.00314

icsd-611176-01-[Fe2P]

-2.00316

-1.99896

icsd-409859-10-[La2Sb]

-2.0006

-2.0005

icsd-16504-01-[CrSi2]

-1.99059

-1.99006

icsd-610464-10-[PbClF/Cu2Sb]

-1.99021

-2.01868

icsd-105948-01-[InNi2]

-1.97767

-1.97944

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

-1.97767

-1.97944

icsd-105726-01-[Pd5Ti3]

-1.97442

-1.97783

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

-1.96899

-1.96923

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

-1.9638

-1.96194

icsd-5258-01-[FeSi2]

-1.95257

-1.95197

icsd-659829-01-[Al2Li3]

-1.94511

-1.93682

icsd-629380-10-[Al3Os2]

-1.94251

-1.94157

icsd-103995-01-[Ga3Ti2]

-1.9409

-1.94003

icsd-59586-01-[Pd5Th3]

-1.93059

-1.92668

icsd-16606-01-[Nb3Te4]

-1.91093

-1.90145

icsd-639879-10-[In5In4]

-1.90662

-1.89904

icsd-629406-10-[Cu4Ti3]

-1.89086

-1.89492

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

-1.87365

-1.87489

icsd-635208-10-[CoGa3]

-1.87329

-1.89091

icsd-30446-01-[Fe2B]

-1.86359

-1.86337

icsd-611457-01-[NbAs]

-1.86028

-1.86173

icsd-105636-01-[PbU]

-1.86028

-1.86173

icsd-240119-01-[AlLi]

-1.86021

-1.86173

icsd-103775-01-[NaTl]

-1.8602

-1.86147

icsd-239-10-[Cu3Se2]

-1.85668

-1.85735

icsd-639148-10-[NiHg4]

-1.84999

-1.84976

icsd-108762-10-[Hg4Pt]

-1.84999

-1.84976

icsd-424636-10-[MnGa4]

-1.84998

-1.84977

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

-1.8403

-1.84102

icsd-639227-10-[Si2U3]

-1.81423

-1.8134

icsd-106325-01-[BiIn]

-1.81301

-1.81126

icsd-42428-01-[Fe3Pt]

-1.81299

-1.81123

icsd-108707-01-[HgMn]

-1.81291

-1.81055

icsd-59508-01-[AuCu]

-1.81291

-1.81055

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

-1.81291

-1.81054

icsd-102712-01-[CoU]

-1.80318

-1.80056

icsd-73839-10-[Ni3S2]

-1.80189

-1.79002

icsd-618295-01-[MoC1-x]

-1.79323

-1.79273

icsd-650527-01-[CsCl]

-1.78629

-1.78056

icsd-659856-01-[LiPt]

-1.77656

-1.7734

icsd-644708-01-[WC]

-1.77645

-1.77339

icsd-626692-01-[Nickeline-NiAs]

-1.77465

-1.77243

icsd-168897-01-[LaI]

-1.77462

-1.77242

icsd-618702-01-[ScTe]

-1.77359

-1.77194

icsd-611618-01-[TiAs]

-1.77358

-1.77194

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

-1.77176

-1.77156

icsd-639037-01-[HgIn]

-1.77176

-1.77156

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

-1.77176

-1.77156

icsd-639879-01-[In5In4]

-1.77102

-1.77712

icsd-106786-10-[Hg2Pt]

-1.76641

-1.76629

icsd-185626-10-[Al3Ni2]

-1.76376

-1.76347

icsd-100654-01-[BiSe]

-1.76286

-1.76447

icsd-169457-10-[ZrH2]

-1.75786

-1.75683

icsd-248490-10-[Pt2Si]

-1.75783

-1.75681

icsd-638227-10-[Fluorite-CaF2]

-1.75783

-1.75721

icsd-635060-01-[Fersilicite-FeSi]

-1.75516

-1.75971

icsd-16606-10-[Nb3Te4]

-1.72319

-1.72717

icsd-659829-10-[Al2Li3]

-1.7021

-1.70931

icsd-629406-01-[Cu4Ti3]

-1.69707

-1.69405

icsd-103995-10-[Ga3Ti2]

-1.67989

-1.67231

icsd-639227-01-[Si2U3]

-1.65607

-1.65413

icsd-55492-01-[BaPt]

-1.6551

-1.65521

icsd-629380-01-[Al3Os2]

-1.65304

-1.6556

icsd-185626-01-[Al3Ni2]

-1.64273

-1.65068

icsd-59586-10-[Pd5Th3]

-1.63605

-1.61903

icsd-105726-10-[Pd5Ti3]

-1.61996

-1.62174

icsd-30446-10-[Fe2B]

-1.5852

-1.58234

icsd-611176-10-[Fe2P]

-1.5814

-1.58019

icsd-239-01-[Cu3Se2]

-1.57085

-1.56826

icsd-58607-01-[Au2Ti]

-1.56495

-1.56328

icsd-652553-01-[AlCr2-MoSi2]

-1.56494

-1.56327

icsd-58471-10-[CuZr2]

-1.56493

-1.56326

icsd-42472-01-[CoO]

-1.56285

-1.56035

icsd-181788-01-[NaCl]

-1.56284

-1.56046

icsd-16504-10-[CrSi2]

-1.55642

-1.55219

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

-1.54397

-1.5433

icsd-105948-10-[InNi2]

-1.54397

-1.5433

icsd-5258-10-[FeSi2]

-1.54011

-1.53514

icsd-161109-01-[CoSn]

-1.53747

-1.53864

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

-1.5373

-1.53419

icsd-155842-01-[Co5Fe11]

-1.5323

-1.52661

icsd-106786-01-[Hg2Pt]

-1.52203

-1.51881

icsd-635642-10-[Hg5Mn2]

-1.50127

-1.50624

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

-1.49945

-1.49893

icsd-610464-01-[PbClF/Cu2Sb]

-1.4941

-1.48683

icsd-409859-01-[La2Sb]

-1.49318

-1.50403

icsd-188260-01-[Heusler-AlCu2Mn]

-1.47816

-1.45581

icsd-189695-10-[CuHg2Ti]

-1.47816

-1.45581

icsd-73839-01-[Ni3S2]

-1.47009

-1.48081

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

-1.46555

-1.46688

icsd-420250-10-[LiPd2Tl]

-1.46022

-1.46045

icsd-105191-10-[Al3Ti]

-1.46022

-1.46045

icsd-643301-10-[Au3Cd]

-1.4567

-1.45627

icsd-416747-10-[Al3Zr]

-1.45666

-1.45626

icsd-640726-01-[CuSmP2]

-1.45665

-1.45626

icsd-104506-10-[Ni3Sn]

-1.45526

-1.45702

icsd-260285-10-[UCl3]

-1.45526

-1.45702

icsd-649037-10-[Ni3Ti]

-1.45342

-1.45257

icsd-181127-01-[Auricupride-AuCu3]

-1.45116

-1.45157

icsd-648572-10-[CuInPt2]

-1.45116

-1.45157

icsd-609153-10-[AlPt3]

-1.45115

-1.45146

icsd-99787-01-[Fe3Pt]

-1.45115

-1.45156

icsd-69199-10-[U3Si]

-1.45099

-1.45128

icsd-246555-01-[Co2Nd]

-1.43647

-1.43632

icsd-635208-01-[CoGa3]

-1.41399

-1.43908

icsd-638227-01-[Fluorite-CaF2]

-1.40591

-1.40228

icsd-248490-01-[Pt2Si]

-1.40591

-1.40227

icsd-169457-01-[ZrH2]

-1.40591

-1.40226

icsd-107998-01-[MoNi4]

-1.38419

-1.39027

icsd-150584-01-[Fe13Ge3]

-1.37224

-1.35884

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

-1.35579

-1.35515

icsd-167735-01-[Ru2B3]

-1.35443

-1.35058

icsd-648748-01-[Pd4Se]

-1.34908

-1.35322

icsd-42773-01-[IrGe4]

-1.34244

-1.34249

icsd-105521-01-[Al5W]

-1.32749

-1.33439

icsd-639148-01-[NiHg4]

-1.27988

-1.28274

icsd-108762-01-[Hg4Pt]

-1.27988

-1.28274

icsd-424636-01-[MnGa4]

-1.27988

-1.28274

icsd-97006-01-[InMg2]

-1.23927

-1.24286

icsd-58745-10-[Fe6Ge6Mg]

-1.09295

-1.11791

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.23

7.673

7.673

7.673

90.0

90.0

90.0

DFT

27.548

7.61

7.61

7.61

90.0

90.0

90.0

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

1

2

3

4

5

6

29.2

15.9

15.9

0.0

0.0

0.0

15.9

29.2

15.9

0.0

0.0

0.0

15.9

15.9

29.2

0.0

0.0

0.0

0.0

0.0

0.0

6.4

0.0

0.0

0.0

0.0

0.0

0.0

6.4

0.0

0.0

0.0

0.0

0.0

0.0

6.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.057

5.444

5.444

6.792

90.0

90.0

120.0

DFT

29.886

5.555

5.555

6.709

90.0

90.0

120.0

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

1

2

3

4

5

6

34.3

18.4

12.8

0.0

0.0

0.0

18.4

34.3

12.8

0.0

0.0

0.0

12.8

12.8

27.5

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

8.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.351

3.489

3.489

5.379

90.0

90.0

120.0

DFT

28.089

3.446

3.446

5.463

90.0

90.0

120.0

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

1

2

3

4

5

6

34.0

27.1

14.9

0.0

0.0

0.0

27.1

33.9

14.9

0.0

0.0

0.0

14.9

14.9

51.6

0.0

0.0

0.0

0.0

0.0

0.0

10.2

0.0

0.0

0.0

0.0

0.0

0.0

10.2

0.0

0.0

0.0

0.0

0.0

0.0

3.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.453

7.612

7.612

5.256

90.0

90.0

90.0

DFT

31.06

7.876

7.876

5.007

90.0

90.0

90.0

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

1

2

3

4

5

6

20.4

13.2

13.8

0.0

0.0

-6.3

13.2

20.4

13.8

0.0

0.0

6.3

13.8

13.8

27.7

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

-6.3

6.3

0.0

0.0

0.0

6.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.873

4.759

4.759

9.844

90.0

90.0

90.0

DFT

26.666

4.707

4.707

9.63

90.0

90.0

90.0

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

1

2

3

4

5

6

40.6

34.3

27.3

0.0

0.0

0.0

34.3

40.6

27.3

0.0

0.0

0.0

27.3

27.3

36.8

0.0

0.0

0.0

0.0

0.0

0.0

9.2

0.0

0.0

0.0

0.0

0.0

0.0

9.2

0.0

0.0

0.0

0.0

0.0

0.0

14.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.067

3.687

3.687

3.687

90.0

90.0

90.0

DFT

27.207

3.789

3.789

3.789

90.0

90.0

90.0

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

1

2

3

4

5

6

46.9

27.1

27.1

0.0

0.0

0.0

27.1

46.9

27.1

0.0

0.0

0.0

27.1

27.1

46.9

0.0

0.0

0.0

0.0

0.0

0.0

30.6

0.0

0.0

0.0

0.0

0.0

0.0

30.6

0.0

0.0

0.0

0.0

0.0

0.0

30.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.833

4.978

4.978

4.978

90.0

90.0

90.0

DFT

30.516

4.961

4.961

4.961

90.0

90.0

90.0

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

1

2

3

4

5

6

22.9

16.6

16.6

0.0

0.0

0.0

16.6

22.9

16.6

0.0

0.0

0.0

16.6

16.6

22.9

0.0

0.0

0.0

0.0

0.0

0.0

9.7

0.0

0.0

0.0

0.0

0.0

0.0

9.7

0.0

0.0

0.0

0.0

0.0

0.0

9.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.846

4.399

4.399

9.255

90.0

90.0

90.0

DFT

31.712

4.607

4.607

8.964

90.0

90.0

90.0

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

1

2

3

4

5

6

22.9

26.0

7.4

0.0

0.0

0.0

26.0

13.9

5.8

0.0

0.0

0.0

7.4

5.8

30.5

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

15.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.806

4.793

4.793

19.368

90.0

90.0

90.0

DFT

26.522

4.752

4.752

18.793

90.0

90.0

90.0

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

1

2

3

4

5

6

40.7

32.2

29.1

0.0

0.0

0.0

32.2

40.7

29.1

0.0

0.0

0.0

29.1

29.1

36.7

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

12.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.488

6.036

6.036

6.036

90.0

90.0

90.0

DFT

28.193

6.087

6.087

6.087

90.0

90.0

90.0

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

1

2

3

4

5

6

14.2

29.2

29.2

0.0

0.0

0.0

29.2

14.1

29.3

0.0

0.0

0.0

29.2

29.3

14.1

0.0

0.0

0.0

0.0

0.0

0.0

-9.5

0.0

0.0

0.0

0.0

0.0

0.0

-9.5

0.0

0.0

0.0

0.0

0.0

0.0

-9.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.621

9.325

9.325

3.521

90.0

90.0

90.0

DFT

29.91

9.276

9.276

3.476

90.0

90.0

90.0

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

1

2

3

4

5

6

29.7

22.2

21.6

0.0

0.0

0.0

22.2

29.7

21.6

0.0

0.0

0.0

21.6

21.6

36.9

0.0

0.0

0.0

0.0

0.0

0.0

11.8

0.0

0.0

0.0

0.0

0.0

0.0

11.8

0.0

0.0

0.0

0.0

0.0

0.0

11.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.718

7.072

7.072

5.674

90.0

90.0

120.0

DFT

30.609

6.986

6.986

5.793

90.0

90.0

120.0

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

1

2

3

4

5

6

27.1

16.0

12.4

0.0

0.0

0.0

16.0

27.1

12.4

0.0

0.0

0.0

12.4

12.4

28.2

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

5.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.312

3.386

16.014

9.066

90.0

90.0

90.0

DFT

27.597

3.404

16.385

8.907

90.0

90.0

90.0

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

1

2

3

4

5

6

34.4

13.9

10.3

0.0

0.0

0.0

13.9

37.2

11.2

0.0

0.0

0.0

10.3

11.2

30.6

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

1.8

0.0

0.0

0.0

0.0

0.0

0.0

4.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.91

4.863

4.863

7.59

90.0

90.0

90.0

DFT

29.076

4.56

4.56

8.391

90.0

90.0

90.0

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

1

2

3

4

5

6

22.0

5.0

13.1

0.0

0.0

0.0

5.0

22.0

13.1

0.0

0.0

0.0

13.1

13.1

36.2

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

5.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.874

6.854

6.854

5.481

90.0

90.0

120.0

DFT

26.734

6.776

6.776

5.379

90.0

90.0

120.0

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

1

2

3

4

5

6

31.7

26.1

22.9

0.0

0.0

0.0

26.1

31.7

22.9

0.0

0.0

0.0

22.9

22.9

47.3

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

2.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.858

6.826

6.826

11.046

90.0

90.0

120.0

DFT

26.585

6.712

6.712

10.901

90.0

90.0

120.0

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

1

2

3

4

5

6

40.7

28.0

24.7

0.0

0.0

0.0

28.0

40.7

24.7

0.0

0.0

0.0

24.7

24.7

48.0

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

7.2

0.0

0.0

0.0

0.0

0.0

0.0

6.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.436

9.394

9.394

3.349

90.0

90.0

120.0

DFT

29.124

9.6

9.6

3.284

90.0

90.0

120.0

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

1

2

3

4

5

6

37.4

17.2

5.8

0.0

0.0

0.0

17.2

37.4

5.8

0.0

0.0

0.0

5.8

5.8

24.0

0.0

0.0

0.0

0.0

0.0

0.0

1.3

0.0

0.0

0.0

0.0

0.0

0.0

1.3

0.0

0.0

0.0

0.0

0.0

0.0

10.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.071

7.833

7.833

4.575

90.0

90.0

90.0

DFT

26.943

7.584

7.584

4.685

90.0

90.0

90.0

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

1

2

3

4

5

6

40.7

22.0

30.8

0.0

0.0

1.4

22.0

40.7

30.8

0.0

0.0

-1.4

30.8

30.8

36.7

0.0

0.0

0.0

0.0

0.0

0.0

13.7

0.0

0.0

0.0

0.0

0.0

0.0

13.7

0.0

1.4

-1.4

0.0

0.0

0.0

6.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.683

6.644

6.644

9.318

90.0

90.0

120.0

DFT

29.314

6.678

6.678

9.108

90.0

90.0

120.0

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

1

2

3

4

5

6

22.1

18198.6

-19060.4

2811.5

21000.1

18185.5

18198.6

-36346.2

19086.0

36052.5

6422.1

-7688.9

-19060.4

19086.0

38.5

56203.6

44685.4

-9988.1

2811.5

36052.5

56203.6

-14134.5

-4498.3

-8546.4

21000.1

6422.1

44685.4

-4498.3

-19422.2

21913.6

18185.5

-7688.9

-9988.1

-8546.4

21913.6

23054.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.755

5.787

5.787

8.614

90.0

90.0

120.0

DFT

27.215

5.714

5.714

8.663

90.0

90.0

120.0

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

1

2

3

4

5

6

25.6

6.6

5.2

0.0

0.0

0.0

6.6

25.6

5.2

0.0

0.0

0.0

5.2

5.2

43.6

0.0

0.0

0.0

0.0

0.0

0.0

-8.4

0.0

0.0

0.0

0.0

0.0

0.0

-8.4

0.0

0.0

0.0

0.0

0.0

0.0

9.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.381

7.501

7.501

7.501

90.0

90.0

90.0

DFT

26.98

7.558

7.558

7.558

90.0

90.0

90.0

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

1

2

3

4

5

6

17.7

19.1

19.1

0.0

0.0

0.0

19.1

17.7

19.1

0.0

0.0

0.0

19.1

19.1

17.7

0.0

0.0

0.0

0.0

0.0

0.0

23.2

0.0

0.0

0.0

0.0

0.0

0.0

23.2

0.0

0.0

0.0

0.0

0.0

0.0

23.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.777

5.386

5.386

6.634

90.0

90.0

120.0

DFT

27.036

5.366

5.366

6.505

90.0

90.0

120.0

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

1

2

3

4

5

6

36.7

20.3

17.3

0.0

0.0

0.0

20.3

36.7

17.3

0.0

0.0

0.0

17.3

17.3

62.1

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

8.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.855

4.812

4.812

4.812

90.0

90.0

90.0

DFT

26.473

4.731

4.731

4.731

90.0

90.0

90.0

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

1

2

3

4

5

6

41.1

31.9

31.9

0.0

0.0

0.0

31.9

41.1

31.9

0.0

0.0

0.0

31.9

31.9

41.1

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

11.6

0.0

0.0

0.0

0.0

0.0

0.0

11.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.416

3.5

3.5

10.712

90.0

90.0

120.0

DFT

28.178

3.448

3.448

10.95

90.0

90.0

120.0

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

1

2

3

4

5

6

33.7

27.5

14.4

0.0

0.0

0.0

27.5

33.7

14.4

0.0

0.0

0.0

14.4

14.4

44.9

0.0

0.0

0.0

0.0

0.0

0.0

10.0

0.0

0.0

0.0

0.0

0.0

0.0

10.0

0.0

0.0

0.0

0.0

0.0

0.0

3.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.65

5.452

5.452

7.711

90.0

90.0

90.0

DFT

29.99

4.9

4.9

9.994

90.0

90.0

90.0

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

1

2

3

4

5

6

31.3

5.3

14.8

0.0

0.0

0.0

5.3

31.3

14.8

0.0

0.0

0.0

14.8

14.8

21.9

0.0

0.0

0.0

0.0

0.0

0.0

13.0

0.0

0.0

0.0

0.0

0.0

0.0

13.0

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

25.9

7.43

10.749

3.243

90.0

90.0

90.0

DFT

28.392

8.926

8.926

3.563

90.0

90.0

90.0

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

1

2

3

4

5

6

30.2

4.9

-13.0

0.0

0.0

0.0

4.9

57.5

0.7

0.0

0.0

0.0

-13.0

0.7

39.4

0.0

0.0

0.0

0.0

0.0

0.0

24.4

0.0

0.0

0.0

0.0

0.0

0.0

21.6

0.0

0.0

0.0

0.0

0.0

0.0

26.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.848

5.691

5.691

9.348

90.0

90.0

120.0

DFT

28.422

6.397

6.397

9.623

90.0

90.0

120.0

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

1

2

3

4

5

6

81.7

6.0

7.1

0.0

0.0

0.0

6.0

81.7

7.1

0.0

0.0

0.0

7.1

7.1

163.2

0.0

0.0

0.0

0.0

0.0

0.0

13.7

0.0

0.0

0.0

0.0

0.0

0.0

13.7

0.0

0.0

0.0

0.0

0.0

0.0

37.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.1

5.898

5.898

8.695

90.0

90.0

120.0

DFT

29.337

5.924

5.924

8.687

90.0

90.0

120.0

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

1

2

3

4

5

6

31.5

17.6

11.9

0.0

0.0

0.0

17.6

31.5

11.9

0.0

0.0

0.0

11.9

11.9

42.9

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

6.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.246

7.392

7.392

7.392

90.0

90.0

90.0

DFT

26.003

7.465

7.465

7.465

90.0

90.0

90.0

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

1

2

3

4

5

6

27.7

11.0

11.0

0.0

0.0

0.0

11.0

27.7

11.0

0.0

0.0

0.0

11.0

11.0

27.7

0.0

0.0

0.0

0.0

0.0

0.0

27.0

0.0

0.0

0.0

0.0

0.0

0.0

27.0

0.0

0.0

0.0

0.0

0.0

0.0

27.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.78

7.056

7.056

11.422

90.0

90.0

120.0

DFT

30.525

6.995

6.995

11.527

90.0

90.0

120.0

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

1

2

3

4

5

6

27.4

16.0

12.4

0.0

0.0

0.0

16.0

27.4

12.4

0.0

0.0

0.0

12.4

12.4

29.9

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

5.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.07

5.385

5.385

16.038

90.0

90.0

90.0

DFT

30.283

4.935

4.935

19.899

90.0

90.0

90.0

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

1

2

3

4

5

6

28.6

3.5

11.3

0.0

0.0

0.0

3.5

28.6

11.3

0.0

0.0

0.0

11.3

11.3

12.0

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

0.0

0.0

0.0

0.0

0.0

3.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.281

3.309

3.309

5.167

90.0

90.0

90.0

DFT

27.281

3.273

3.273

5.093

90.0

90.0

90.0

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

1

2

3

4

5

6

52.1

23.0

19.5

0.0

0.0

0.0

23.0

52.1

19.5

0.0

0.0

0.0

19.5

19.5

36.7

0.0

0.0

0.0

0.0

0.0

0.0

11.8

0.0

0.0

0.0

0.0

0.0

0.0

11.8

0.0

0.0

0.0

0.0

0.0

0.0

0.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.65

7.711

7.711

7.711

90.0

90.0

90.0

DFT

30.064

7.835

7.835

7.835

90.0

90.0

90.0

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

1

2

3

4

5

6

21.9

14.8

14.8

0.0

0.0

0.0

14.8

21.9

14.8

0.0

0.0

0.0

14.8

14.8

21.9

0.0

0.0

0.0

0.0

0.0

0.0

13.0

0.0

0.0

0.0

0.0

0.0

0.0

13.0

0.0

0.0

0.0

0.0

0.0

0.0

13.0