gtinv-416 (K-Au-2022-10-13)

Energy distribution

../../../../_images/distribution490.png

Convex hull (formation energy)

../../../../_images/convex490.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

K

0.2

-0.1577

icsd-42773-01-[IrGe4]

0.3333

-0.2357

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

0.6

-0.3285

icsd-659829-01-[Al2Li3]

0.6667

-0.2915

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

0.75

-0.2362

icsd-635208-10-[CoGa3]

1.0

0.0

Au

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-sep490.png

Prototype structure energy

../../../../_images/icsd-pred490.png

Phonon density of states

../../../../_images/dos490.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-01-[Fe6Ge6Mg]

-2.90429

-2.90532

icsd-107998-10-[MoNi4]

-2.73253

-2.7323

icsd-97006-10-[InMg2]

-2.70377

-2.70247

icsd-42773-10-[IrGe4]

-2.66484

-2.66473

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

-2.60821

-2.6078

icsd-246555-10-[Co2Nd]

-2.59977

-2.59967

icsd-105521-10-[Al5W]

-2.58647

-2.58608

icsd-30446-01-[Fe2B]

-2.57809

-2.57816

icsd-649037-01-[Ni3Ti]

-2.54476

-2.54632

icsd-169457-10-[ZrH2]

-2.5397

-2.54015

icsd-150584-10-[Fe13Ge3]

-2.53514

-2.53628

icsd-648748-10-[Pd4Se]

-2.52908

-2.52854

icsd-104506-01-[Ni3Sn]

-2.52804

-2.52814

icsd-260285-01-[UCl3]

-2.52794

-2.52806

icsd-59586-01-[Pd5Th3]

-2.48267

-2.48259

icsd-652553-10-[AlCr2-MoSi2]

-2.48062

-2.4807

icsd-58471-01-[CuZr2]

-2.48061

-2.48069

icsd-58607-10-[Au2Ti]

-2.4806

-2.48068

icsd-610464-10-[PbClF/Cu2Sb]

-2.47587

-2.47609

icsd-409859-10-[La2Sb]

-2.46777

-2.46766

icsd-167735-10-[Ru2B3]

-2.46706

-2.46739

icsd-248490-10-[Pt2Si]

-2.4429

-2.44188

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

-2.42585

-2.42599

icsd-105726-01-[Pd5Ti3]

-2.41945

-2.41937

icsd-420250-01-[LiPd2Tl]

-2.39721

-2.39717

icsd-105191-01-[Al3Ti]

-2.39712

-2.39709

icsd-640726-10-[CuSmP2]

-2.38913

-2.38859

icsd-416747-01-[Al3Zr]

-2.38913

-2.38859

icsd-643301-01-[Au3Cd]

-2.38901

-2.38841

icsd-629380-10-[Al3Os2]

-2.38336

-2.38334

icsd-611176-01-[Fe2P]

-2.38124

-2.38176

icsd-181127-10-[Auricupride-AuCu3]

-2.37962

-2.3793

icsd-99787-10-[Fe3Pt]

-2.37962

-2.37928

icsd-648572-01-[CuInPt2]

-2.37961

-2.37928

icsd-609153-01-[AlPt3]

-2.37961

-2.37922

icsd-69199-01-[U3Si]

-2.37961

-2.37925

icsd-16504-01-[CrSi2]

-2.37694

-2.37685

icsd-635208-10-[CoGa3]

-2.37688

-2.37029

icsd-189695-01-[CuHg2Ti]

-2.35681

-2.35672

icsd-188260-10-[Heusler-AlCu2Mn]

-2.3568

-2.35672

icsd-73839-10-[Ni3S2]

-2.34918

-2.3508

icsd-239-10-[Cu3Se2]

-2.34846

-2.34829

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

-2.32933

-2.32905

icsd-155842-10-[Co5Fe11]

-2.3238

-2.32432

icsd-103995-01-[Ga3Ti2]

-2.30488

-2.30432

icsd-16606-01-[Nb3Te4]

-2.28778

-2.28801

icsd-185626-10-[Al3Ni2]

-2.2825

-2.2822

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

-2.27994

-2.27991

icsd-639879-10-[In5In4]

-2.27361

-2.2738

icsd-635642-01-[Hg5Mn2]

-2.27318

-2.27228

icsd-659829-01-[Al2Li3]

-2.24726

-2.24762

icsd-629406-10-[Cu4Ti3]

-2.23911

-2.23808

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

-2.22947

-2.2294

icsd-108707-01-[HgMn]

-2.22947

-2.2294

icsd-59508-01-[AuCu]

-2.22947

-2.2294

icsd-42428-01-[Fe3Pt]

-2.22942

-2.22943

icsd-106325-01-[BiIn]

-2.2294

-2.22934

icsd-650527-01-[CsCl]

-2.22935

-2.22927

icsd-102712-01-[CoU]

-2.22897

-2.22896

icsd-618295-01-[MoC1-x]

-2.20506

-2.20496

icsd-181788-01-[NaCl]

-2.19963

-2.19988

icsd-42472-01-[CoO]

-2.19963

-2.19986

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

-2.19942

-2.19965

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

-2.19942

-2.19965

icsd-639037-01-[HgIn]

-2.19942

-2.19965

icsd-105948-01-[InNi2]

-2.19876

-2.19899

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

-2.19876

-2.19899

icsd-55492-01-[BaPt]

-2.19693

-2.19622

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

-2.19589

-2.19588

icsd-611618-01-[TiAs]

-2.18968

-2.1896

icsd-618702-01-[ScTe]

-2.18967

-2.18959

icsd-639227-10-[Si2U3]

-2.18362

-2.18324

icsd-100654-01-[BiSe]

-2.18339

-2.1834

icsd-626692-01-[Nickeline-NiAs]

-2.18113

-2.18069

icsd-168897-01-[LaI]

-2.18112

-2.18069

icsd-659856-01-[LiPt]

-2.17972

-2.17916

icsd-644708-01-[WC]

-2.17969

-2.17917

icsd-635060-01-[Fersilicite-FeSi]

-2.17573

-2.17488

icsd-5258-01-[FeSi2]

-2.16738

-2.16735

icsd-611457-01-[NbAs]

-2.16582

-2.1652

icsd-105636-01-[PbU]

-2.16524

-2.16549

icsd-240119-01-[AlLi]

-2.14379

-2.14366

icsd-103775-01-[NaTl]

-2.14378

-2.14369

icsd-106786-10-[Hg2Pt]

-2.09128

-2.09126

icsd-639879-01-[In5In4]

-2.08793

-2.08791

icsd-161109-01-[CoSn]

-2.04004

-2.03873

icsd-16606-10-[Nb3Te4]

-2.01024

-2.01727

icsd-639227-01-[Si2U3]

-1.99009

-1.99011

icsd-629380-01-[Al3Os2]

-1.9784

-1.97718

icsd-185626-01-[Al3Ni2]

-1.97654

-1.976

icsd-103995-10-[Ga3Ti2]

-1.96722

-1.96734

icsd-239-01-[Cu3Se2]

-1.96567

-1.96581

icsd-629406-01-[Cu4Ti3]

-1.93791

-1.93777

icsd-105726-10-[Pd5Ti3]

-1.90949

-1.90894

icsd-59586-10-[Pd5Th3]

-1.88798

-1.88227

icsd-638227-10-[Fluorite-CaF2]

-1.86197

-1.86113

icsd-659829-10-[Al2Li3]

-1.85302

-1.85318

icsd-30446-10-[Fe2B]

-1.7973

-1.79689

icsd-58607-01-[Au2Ti]

-1.79537

-1.79542

icsd-652553-01-[AlCr2-MoSi2]

-1.79537

-1.79542

icsd-58471-10-[CuZr2]

-1.79537

-1.79542

icsd-611176-10-[Fe2P]

-1.78895

-1.7885

icsd-73839-01-[Ni3S2]

-1.78658

-1.7865

icsd-106786-01-[Hg2Pt]

-1.78237

-1.78281

icsd-5258-10-[FeSi2]

-1.78129

-1.78122

icsd-638227-01-[Fluorite-CaF2]

-1.77598

-1.77537

icsd-248490-01-[Pt2Si]

-1.77595

-1.77531

icsd-169457-01-[ZrH2]

-1.77593

-1.7753

icsd-105948-10-[InNi2]

-1.7593

-1.75895

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

-1.7593

-1.75895

icsd-409859-01-[La2Sb]

-1.75916

-1.75923

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

-1.7585

-1.75929

icsd-610464-01-[PbClF/Cu2Sb]

-1.75509

-1.75566

icsd-16504-10-[CrSi2]

-1.70981

-1.7101

icsd-424636-10-[MnGa4]

-1.70975

-1.70955

icsd-108762-10-[Hg4Pt]

-1.70973

-1.70953

icsd-639148-10-[NiHg4]

-1.70973

-1.70953

icsd-155842-01-[Co5Fe11]

-1.65113

-1.6511

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

-1.57658

-1.5761

icsd-635642-10-[Hg5Mn2]

-1.57164

-1.56966

icsd-635208-01-[CoGa3]

-1.55771

-1.56372

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

-1.54571

-1.54596

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

-1.50945

-1.50974

icsd-260285-10-[UCl3]

-1.49786

-1.49754

icsd-104506-10-[Ni3Sn]

-1.49784

-1.4975

icsd-649037-10-[Ni3Ti]

-1.47754

-1.47531

icsd-648572-10-[CuInPt2]

-1.47384

-1.4739

icsd-181127-01-[Auricupride-AuCu3]

-1.47384

-1.4739

icsd-609153-10-[AlPt3]

-1.47384

-1.47391

icsd-99787-01-[Fe3Pt]

-1.47384

-1.4739

icsd-69199-10-[U3Si]

-1.4738

-1.47387

icsd-189695-10-[CuHg2Ti]

-1.46458

-1.46445

icsd-188260-01-[Heusler-AlCu2Mn]

-1.46458

-1.46445

icsd-105191-10-[Al3Ti]

-1.46441

-1.46446

icsd-420250-10-[LiPd2Tl]

-1.46432

-1.46443

icsd-643301-10-[Au3Cd]

-1.46302

-1.4633

icsd-416747-10-[Al3Zr]

-1.46301

-1.46332

icsd-640726-01-[CuSmP2]

-1.46301

-1.46332

icsd-42773-01-[IrGe4]

-1.42872

-1.42634

icsd-648748-01-[Pd4Se]

-1.4221

-1.42327

icsd-107998-01-[MoNi4]

-1.4182

-1.41899

icsd-424636-01-[MnGa4]

-1.39781

-1.39752

icsd-639148-01-[NiHg4]

-1.39781

-1.39752

icsd-108762-01-[Hg4Pt]

-1.39781

-1.39752

icsd-167735-01-[Ru2B3]

-1.39739

-1.39702

icsd-246555-01-[Co2Nd]

-1.35739

-1.3575

icsd-150584-01-[Fe13Ge3]

-1.27702

-1.27726

icsd-105521-01-[Al5W]

-1.19937

-1.19918

icsd-97006-01-[InMg2]

-1.16522

-1.16545

icsd-58745-10-[Fe6Ge6Mg]

-0.90456

-0.90507

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.849

8.07

8.07

8.07

90.0

90.0

90.0

DFT

32.241

8.02

8.02

8.02

90.0

90.0

90.0

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

1

2

3

4

5

6

27.1

12.1

12.1

0.0

0.0

0.0

12.1

27.1

12.1

0.0

0.0

0.0

12.1

12.1

27.1

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 (InNi2(B82)(x=0.33))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.228

5.857

5.857

7.721

90.0

90.0

120.0

DFT

37.956

5.911

5.911

7.527

90.0

90.0

120.0

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

1

2

3

4

5

6

17.8

16.0

8.6

0.0

0.0

0.0

16.0

17.8

8.6

0.0

0.0

0.0

8.6

8.6

19.7

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

0.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

39.246

4.601

4.601

4.281

90.0

90.0

120.0

DFT

39.588

4.663

4.663

4.204

90.0

90.0

120.0

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

1

2

3

4

5

6

20.9

14.0

13.6

0.0

0.0

0.0

14.0

20.9

13.6

0.0

0.0

0.0

13.6

13.6

39.7

0.0

0.0

0.0

0.0

0.0

0.0

8.8

0.0

0.0

0.0

0.0

0.0

0.0

8.8

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

53.986

11.265

11.265

4.254

90.0

90.0

90.0

DFT

54.299

11.216

11.216

4.316

90.0

90.0

90.0

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

1

2

3

4

5

6

6.9

7.2

4.9

0.0

0.0

1.3

7.2

6.9

4.9

0.0

0.0

-1.3

4.9

4.9

16.2

0.0

0.0

0.0

0.0

0.0

0.0

3.2

0.0

0.0

0.0

0.0

0.0

0.0

3.2

0.0

1.3

-1.3

0.0

0.0

0.0

3.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.734

4.325

4.325

9.297

90.0

90.0

90.0

DFT

21.571

4.312

4.312

9.281

90.0

90.0

90.0

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

1

2

3

4

5

6

41.6

82.0

45.1

0.0

0.0

0.0

82.0

41.6

45.1

0.0

0.0

0.0

45.1

45.1

82.5

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

16.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.849

4.035

4.035

4.035

90.0

90.0

90.0

DFT

32.439

4.018

4.018

4.018

90.0

90.0

90.0

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

1

2

3

4

5

6

27.1

12.1

12.1

0.0

0.0

0.0

12.1

27.1

12.1

0.0

0.0

0.0

12.1

12.1

27.1

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 (AuCu3(L12)(x=0.25))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

44.053

5.606

5.606

5.606

90.0

90.0

90.0

DFT

43.346

5.576

5.576

5.576

90.0

90.0

90.0

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

1

2

3

4

5

6

11.3

6.7

6.7

0.0

0.0

0.0

6.7

11.3

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

6.2

0.0

0.0

0.0

0.0

0.0

0.0

6.2

0.0

0.0

0.0

0.0

0.0

0.0

6.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

53.166

6.86

6.86

6.779

90.0

90.0

90.0

DFT

41.148

5.2

5.2

9.131

90.0

90.0

90.0

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

1

2

3

4

5

6

10.7

0.3

1.0

0.0

0.0

0.0

0.3

10.7

1.0

0.0

0.0

0.0

1.0

1.0

20.6

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

1.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.087

3.076

6.721

23.642

116.99

82.52

117.24

DFT

21.594

4.331

4.331

18.418

90.0

90.0

90.0

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

1

2

3

4

5

6

88.5

30.8

77.1

15.8

0.0

0.0

30.8

93.5

43.6

2.2

0.0

0.0

77.1

43.6

112.3

20.7

0.0

0.0

15.8

2.2

20.7

5.2

0.0

0.0

0.0

0.0

0.0

0.0

36.3

12.0

0.0

0.0

0.0

0.0

12.0

12.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

39.825

6.83

6.83

6.83

90.0

90.0

90.0

DFT

35.011

6.543

6.543

6.543

90.0

90.0

90.0

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

1

2

3

4

5

6

25.2

5.2

5.2

0.0

0.0

0.0

5.2

25.2

5.2

0.0

0.0

0.0

5.2

5.2

25.2

0.0

0.0

0.0

0.0

0.0

0.0

3.1

0.0

0.0

0.0

0.0

0.0

0.0

3.1

0.0

0.0

0.0

0.0

0.0

0.0

3.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.404

8.905

8.905

4.843

90.0

90.0

90.0

DFT

37.105

8.732

8.732

4.867

90.0

90.0

90.0

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

1

2

3

4

5

6

12.7

4.2

5.9

0.0

0.0

0.0

4.2

12.7

5.9

0.0

0.0

0.0

5.9

5.9

11.4

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

4.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

53.8

9.937

9.454

4.639

90.0

90.0

99.01

DFT

43.459

8.291

8.291

5.84

90.0

90.0

120.0

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

1

2

3

4

5

6

8.5

5.8

5.5

0.0

0.0

0.1

5.8

9.7

5.5

0.0

0.0

0.3

5.5

5.5

13.4

0.0

0.0

0.2

0.0

0.0

0.0

2.5

0.7

0.0

0.0

0.0

0.0

0.7

4.4

0.0

0.1

0.3

0.2

0.0

0.0

2.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.466

2.927

18.418

8.836

90.0

90.0

90.0

DFT

25.874

2.905

18.057

8.879

90.0

90.0

90.0

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

1

2

3

4

5

6

55.7

-5.2

12.1

0.0

0.0

0.0

-5.2

29.6

17.7

0.0

0.0

0.0

12.1

17.7

62.6

0.0

0.0

0.0

0.0

0.0

0.0

16159.8

0.0

0.0

0.0

0.0

0.0

0.0

4.2

0.0

0.0

0.0

0.0

0.0

0.0

-50.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.208

5.186

5.186

6.74

90.0

90.0

90.0

DFT

29.768

5.152

5.152

6.728

90.0

90.0

90.0

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

1

2

3

4

5

6

53.8

-10.0

11.7

0.0

0.0

0.0

-10.0

53.8

11.7

0.0

0.0

0.0

11.7

11.7

25.1

0.0

0.0

0.0

0.0

0.0

0.0

-48981.4

0.0

0.0

0.0

0.0

0.0

0.0

-48981.4

0.0

0.0

0.0

0.0

0.0

0.0

-2.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.512

7.522

7.522

4.492

90.0

90.0

120.0

DFT

26.913

7.441

7.441

4.49

90.0

90.0

120.0

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

1

2

3

4

5

6

27.8

19.8

13.7

0.0

0.0

0.0

19.8

27.8

13.7

0.0

0.0

0.0

13.7

13.7

59.3

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

4.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.64

8.499

8.499

7.069

90.0

90.0

120.0

DFT

26.95

8.297

8.297

7.233

90.0

90.0

120.0

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

1

2

3

4

5

6

31.6

20.6

27.6

0.0

0.0

0.0

20.6

31.6

27.6

0.0

0.0

0.0

27.6

27.6

35.6

0.0

0.0

0.0

0.0

0.0

0.0

27.2

0.0

0.0

0.0

0.0

0.0

0.0

27.2

0.0

0.0

0.0

0.0

0.0

0.0

5.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

40.565

8.921

8.921

5.298

90.0

90.0

120.0

DFT

40.226

9.067

9.067

5.085

90.0

90.0

120.0

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

1

2

3

4

5

6

14.9

8.8

6.5

0.0

0.0

0.0

8.8

15.0

6.5

0.0

0.0

0.0

6.5

6.5

13.5

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

3.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.487

8.589

8.589

2.913

90.0

90.0

90.0

DFT

21.247

8.556

8.556

2.902

90.0

90.0

90.0

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

1

2

3

4

5

6

100.5

47.9

61.1

0.0

0.0

-1.0

47.9

100.5

61.1

0.0

0.0

1.0

61.1

61.1

142.9

0.0

0.0

0.0

0.0

0.0

0.0

17.6

0.0

0.0

0.0

0.0

0.0

0.0

17.6

0.0

-1.0

1.0

0.0

0.0

0.0

16.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

53.275

9.42

9.35

8.36

90.0

90.0

119.75

DFT

70.951

8.74

8.74

12.871

90.0

90.0

120.0

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

1

2

3

4

5

6

16.6

7.4

8.4

0.0

0.0

0.6

7.4

15.4

7.5

0.0

0.0

0.4

8.4

7.5

11.8

0.0

0.0

0.7

0.0

0.0

0.0

4.0

1.3

0.0

0.0

0.0

0.0

1.3

5.6

0.0

0.6

0.4

0.7

0.0

0.0

4.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.959

6.87

6.87

7.038

90.0

90.0

120.0

DFT

32.312

6.971

6.971

6.911

90.0

90.0

120.0

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

1

2

3

4

5

6

9.4

6881.2

2746.9

0.0

0.0

6874.6

6881.2

12148.1

25889.1

3997.3

-1705.3

1985.6

2746.9

25889.1

31372.5

-3474.5

-2609.3

17360.3

0.0

3997.3

-3474.5

-13895.9

6262.0

-3996.9

0.0

-1705.3

-2609.3

6262.0

-17251.7

-1705.1

6874.6

1985.6

17360.3

-3996.9

-1705.1

8170.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.474

7.111

7.111

7.111

90.0

90.0

90.0

DFT

22.264

7.089

7.089

7.089

90.0

90.0

90.0

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

1

2

3

4

5

6

52.3

58.8

58.8

0.0

0.0

0.0

58.8

52.3

58.8

0.0

0.0

0.0

58.8

58.8

52.3

0.0

0.0

0.0

0.0

0.0

0.0

-204.1

0.0

0.0

0.0

0.0

0.0

0.0

-204.1

0.0

0.0

0.0

0.0

0.0

0.0

-204.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.173

6.261

4.8

5.658

90.0

90.0

112.54

DFT

25.563

5.418

5.418

6.033

90.0

90.0

120.0

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

1

2

3

4

5

6

62.9

25.1

21.7

0.0

0.0

13.7

25.1

61.7

42.4

0.0

0.0

-13.1

21.7

42.4

82.9

0.0

0.0

-10.4

0.0

0.0

0.0

24.3

-5.8

0.0

0.0

0.0

0.0

-5.8

12.7

0.0

13.7

-13.1

-10.4

0.0

0.0

18.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.848

4.438

4.438

4.438

90.0

90.0

90.0

DFT

21.61

4.422

4.422

4.422

90.0

90.0

90.0

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

1

2

3

4

5

6

51.3

46.2

46.2

0.0

0.0

0.0

46.2

51.3

46.2

0.0

0.0

0.0

46.2

46.2

51.3

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

4.7

0.0

0.0

0.0

0.0

0.0

0.0

4.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

40.411

4.741

4.741

8.303

90.0

90.0

120.0

DFT

39.888

4.674

4.674

8.435

90.0

90.0

120.0

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

1

2

3

4

5

6

20.5

11.9

12.8

0.0

0.0

0.0

11.9

20.5

12.8

0.0

0.0

0.0

12.8

12.8

33.5

0.0

0.0

0.0

0.0

0.0

0.0

8.7

0.0

0.0

0.0

0.0

0.0

0.0

8.7

0.0

0.0

0.0

0.0

0.0

0.0

4.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

44.445

6.311

6.311

8.926

90.0

90.0

90.0

DFT

41.453

6.107

6.107

8.891

90.0

90.0

90.0

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

1

2

3

4

5

6

6.3

1.9

1.6

0.0

0.0

0.0

1.9

6.3

1.6

0.0

0.0

0.0

1.6

1.6

6.5

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

2.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.015

9.992

9.992

2.906

90.0

90.0

90.0

DFT

28.712

9.95

9.95

2.9

90.0

90.0

90.0

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

1

2

3

4

5

6

33.3

41.0

13.5

0.0

0.0

0.0

41.0

33.3

13.5

0.0

0.0

0.0

13.5

13.5

78.6

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

15.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.794

5.776

5.776

9.884

90.0

90.0

120.0

DFT

23.713

5.739

5.739

9.977

90.0

90.0

120.0

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

1

2

3

4

5

6

83.8

47.8

37.8

0.0

0.0

0.0

47.8

83.8

37.8

0.0

0.0

0.0

37.8

37.8

89.0

0.0

0.0

0.0

0.0

0.0

0.0

17.5

0.0

0.0

0.0

0.0

0.0

0.0

17.5

0.0

0.0

0.0

0.0

0.0

0.0

18.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.827

6.417

6.417

9.799

90.0

90.0

120.0

DFT

37.719

6.348

6.348

9.727

90.0

90.0

120.0

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

1

2

3

4

5

6

14.1

12.3

7.4

0.0

0.0

0.0

12.3

14.1

7.4

0.0

0.0

0.0

7.4

7.4

21.5

0.0

0.0

0.0

0.0

0.0

0.0

3.2

0.0

0.0

0.0

0.0

0.0

0.0

3.2

0.0

0.0

0.0

0.0

0.0

0.0

0.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.446

7.692

7.692

7.692

90.0

90.0

90.0

DFT

28.277

7.677

7.677

7.677

90.0

90.0

90.0

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

1

2

3

4

5

6

20.9

21.6

21.6

0.0

0.0

0.0

21.6

20.9

21.6

0.0

0.0

0.0

21.6

21.6

20.9

0.0

0.0

0.0

0.0

0.0

0.0

-40.6

0.0

0.0

0.0

0.0

0.0

0.0

-40.6

0.0

0.0

0.0

0.0

0.0

0.0

-40.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

59.073

8.244

8.244

16.057

90.0

90.0

120.0

DFT

42.894

7.966

7.966

12.487

90.0

90.0

120.0

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

1

2

3

4

5

6

8.7

4.9

4.2

0.0

0.1

0.0

4.9

8.7

4.2

0.0

-0.1

0.0

4.2

4.2

9.0

0.0

0.0

0.0

0.0

0.0

0.0

1.7

0.0

-0.1

0.1

-0.1

0.0

0.0

1.7

0.0

0.0

0.0

0.0

-0.1

0.0

1.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

44.554

5.563

5.563

23.032

90.0

90.0

90.0

DFT

42.827

5.555

5.555

22.209

90.0

90.0

90.0

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

1

2

3

4

5

6

0.3

14.8

4.3

0.0

0.0

0.0

14.8

0.3

4.3

0.0

0.0

0.0

4.3

4.3

5.9

0.0

0.0

0.0

0.0

0.0

0.0

2.9

0.0

0.0

0.0

0.0

0.0

0.0

2.9

0.0

0.0

0.0

0.0

0.0

0.0

5.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.849

4.035

4.035

4.035

90.0

90.0

90.0

DFT

32.546

4.023

4.023

4.023

90.0

90.0

90.0

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

1

2

3

4

5

6

27.1

12.1

12.1

0.0

0.0

0.0

12.1

27.1

12.1

0.0

0.0

0.0

12.1

12.1

27.1

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 (AlCu2Mn(L21)(x=0.25))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

44.445

8.926

8.926

8.926

90.0

90.0

90.0

DFT

41.344

8.713

8.713

8.713

90.0

90.0

90.0

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

1

2

3

4

5

6

6.5

1.6

1.6

0.0

0.0

0.0

1.6

6.5

1.6

0.0

0.0

0.0

1.6

1.6

6.5

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