gtinv-182 (K-Ge-2022-07-21)

Energy distribution

../../../../_images/distribution499.png

Convex hull (formation energy)

../../../../_images/convex499.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

K

0.4

-0.135

icsd-103995-10-[Ga3Ti2]

0.6667

-0.1336

icsd-610464-10-[PbClF/Cu2Sb]

1.0

0.0

Ge

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-sep499.png

Prototype structure energy

../../../../_images/icsd-pred499.png

Phonon density of states

../../../../_images/dos499.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-01-[Fe6Ge6Mg]

-3.22159

-3.22235

icsd-97006-10-[InMg2]

-3.16171

-3.16363

icsd-167735-10-[Ru2B3]

-3.13276

-3.13214

icsd-107998-10-[MoNi4]

-3.09173

-3.0914

icsd-260285-01-[UCl3]

-3.02138

-3.02004

icsd-104506-01-[Ni3Sn]

-3.02138

-3.02004

icsd-42773-10-[IrGe4]

-3.00924

-3.02656

icsd-150584-10-[Fe13Ge3]

-2.96794

-2.96793

icsd-105521-10-[Al5W]

-2.93674

-2.93636

icsd-643301-01-[Au3Cd]

-2.93136

-2.93148

icsd-416747-01-[Al3Zr]

-2.93115

-2.93151

icsd-640726-10-[CuSmP2]

-2.93041

-2.93152

icsd-610464-10-[PbClF/Cu2Sb]

-2.87835

-2.87883

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

-2.83893

-2.83881

icsd-648748-10-[Pd4Se]

-2.82593

-2.82514

icsd-649037-01-[Ni3Ti]

-2.8121

-2.82987

icsd-611176-01-[Fe2P]

-2.81004

-2.83103

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

-2.76136

-2.7625

icsd-409859-10-[La2Sb]

-2.74463

-2.74612

icsd-246555-10-[Co2Nd]

-2.73685

-2.73601

icsd-58607-10-[Au2Ti]

-2.72738

-2.72773

icsd-652553-10-[AlCr2-MoSi2]

-2.72737

-2.72773

icsd-58471-01-[CuZr2]

-2.72735

-2.72775

icsd-59586-01-[Pd5Th3]

-2.69802

-2.69751

icsd-239-10-[Cu3Se2]

-2.67767

-2.67749

icsd-155842-10-[Co5Fe11]

-2.67639

-2.68149

icsd-169457-10-[ZrH2]

-2.6653

-2.66522

icsd-106786-10-[Hg2Pt]

-2.66519

-2.66576

icsd-16504-01-[CrSi2]

-2.65925

-2.66112

icsd-69199-01-[U3Si]

-2.65879

-2.65818

icsd-609153-01-[AlPt3]

-2.65879

-2.65824

icsd-181127-10-[Auricupride-AuCu3]

-2.65879

-2.65784

icsd-99787-10-[Fe3Pt]

-2.65879

-2.65784

icsd-648572-01-[CuInPt2]

-2.65879

-2.65784

icsd-420250-01-[LiPd2Tl]

-2.65831

-2.65889

icsd-105191-01-[Al3Ti]

-2.65831

-2.65889

icsd-188260-10-[Heusler-AlCu2Mn]

-2.63093

-2.62978

icsd-189695-01-[CuHg2Ti]

-2.63093

-2.62978

icsd-635642-01-[Hg5Mn2]

-2.62493

-2.62817

icsd-5258-01-[FeSi2]

-2.54875

-2.54641

icsd-105726-01-[Pd5Ti3]

-2.54637

-2.54641

icsd-73839-10-[Ni3S2]

-2.50559

-2.51405

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

-2.49366

-2.49443

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

-2.49105

-2.4911

icsd-103995-01-[Ga3Ti2]

-2.48589

-2.48665

icsd-635208-10-[CoGa3]

-2.45717

-2.4559

icsd-629380-10-[Al3Os2]

-2.43894

-2.43905

icsd-629406-10-[Cu4Ti3]

-2.43292

-2.43376

icsd-185626-10-[Al3Ni2]

-2.4016

-2.40363

icsd-30446-01-[Fe2B]

-2.36976

-2.36985

icsd-16606-01-[Nb3Te4]

-2.34008

-2.35301

icsd-659829-01-[Al2Li3]

-2.33936

-2.3423

icsd-55492-01-[BaPt]

-2.33346

-2.3336

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

-2.29715

-2.29744

icsd-105948-01-[InNi2]

-2.29715

-2.29744

icsd-639879-10-[In5In4]

-2.26951

-2.2699

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

-2.25512

-2.25432

icsd-639879-01-[In5In4]

-2.21367

-2.21589

icsd-102712-01-[CoU]

-2.1848

-2.1846

icsd-16606-10-[Nb3Te4]

-2.15613

-2.15877

icsd-618295-01-[MoC1-x]

-2.13987

-2.13733

icsd-103775-01-[NaTl]

-2.11425

-2.11379

icsd-240119-01-[AlLi]

-2.11425

-2.11384

icsd-611457-01-[NbAs]

-2.11421

-2.11383

icsd-105636-01-[PbU]

-2.11421

-2.11383

icsd-639227-01-[Si2U3]

-2.04298

-2.0432

icsd-639227-10-[Si2U3]

-2.02886

-2.02907

icsd-639148-10-[NiHg4]

-2.02596

-2.0273

icsd-108762-10-[Hg4Pt]

-2.02596

-2.0273

icsd-424636-10-[MnGa4]

-2.02596

-2.0273

icsd-108707-01-[HgMn]

-2.01932

-2.01709

icsd-59508-01-[AuCu]

-2.01932

-2.01709

icsd-42428-01-[Fe3Pt]

-2.01932

-2.01709

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

-2.01932

-2.01709

icsd-106325-01-[BiIn]

-2.0193

-2.01811

icsd-239-01-[Cu3Se2]

-2.00013

-1.99957

icsd-100654-01-[BiSe]

-1.97533

-1.97458

icsd-629406-01-[Cu4Ti3]

-1.96871

-1.96337

icsd-103995-10-[Ga3Ti2]

-1.93954

-1.94137

icsd-650527-01-[CsCl]

-1.92064

-1.92354

icsd-639037-01-[HgIn]

-1.90678

-1.90762

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

-1.90678

-1.90762

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

-1.90677

-1.90762

icsd-611618-01-[TiAs]

-1.90657

-1.90646

icsd-618702-01-[ScTe]

-1.90657

-1.90646

icsd-626692-01-[Nickeline-NiAs]

-1.90654

-1.90541

icsd-168897-01-[LaI]

-1.90654

-1.90541

icsd-629380-01-[Al3Os2]

-1.90273

-1.90339

icsd-644708-01-[WC]

-1.89497

-1.89583

icsd-659856-01-[LiPt]

-1.89497

-1.89583

icsd-638227-10-[Fluorite-CaF2]

-1.89017

-1.89042

icsd-248490-10-[Pt2Si]

-1.89017

-1.89041

icsd-635060-01-[Fersilicite-FeSi]

-1.86142

-1.86561

icsd-659829-10-[Al2Li3]

-1.85969

-1.86188

icsd-185626-01-[Al3Ni2]

-1.8314

-1.83701

icsd-73839-01-[Ni3S2]

-1.81062

-1.81516

icsd-105726-10-[Pd5Ti3]

-1.81011

-1.811

icsd-409859-01-[La2Sb]

-1.76082

-1.762

icsd-59586-10-[Pd5Th3]

-1.75469

-1.75777

icsd-30446-10-[Fe2B]

-1.73382

-1.73446

icsd-58607-01-[Au2Ti]

-1.63739

-1.63621

icsd-58471-10-[CuZr2]

-1.63675

-1.63625

icsd-652553-01-[AlCr2-MoSi2]

-1.63641

-1.6361

icsd-635208-01-[CoGa3]

-1.636

-1.56598

icsd-106786-01-[Hg2Pt]

-1.63443

-1.63682

icsd-5258-10-[FeSi2]

-1.62258

-1.62363

icsd-611176-10-[Fe2P]

-1.62229

-1.62328

icsd-16504-10-[CrSi2]

-1.58791

-1.58853

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

-1.58248

-1.58148

icsd-105948-10-[InNi2]

-1.58248

-1.58148

icsd-610464-01-[PbClF/Cu2Sb]

-1.5611

-1.55504

icsd-155842-01-[Co5Fe11]

-1.53518

-1.53531

icsd-181788-01-[NaCl]

-1.52998

-1.53036

icsd-42472-01-[CoO]

-1.52996

-1.53035

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

-1.51634

-1.51624

icsd-635642-10-[Hg5Mn2]

-1.51428

-1.51142

icsd-248490-01-[Pt2Si]

-1.51363

-1.5191

icsd-638227-01-[Fluorite-CaF2]

-1.51363

-1.51911

icsd-169457-01-[ZrH2]

-1.5135

-1.51917

icsd-161109-01-[CoSn]

-1.45458

-1.45286

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

-1.451

-1.4534

icsd-105191-10-[Al3Ti]

-1.44386

-1.44273

icsd-420250-10-[LiPd2Tl]

-1.44386

-1.44273

icsd-188260-01-[Heusler-AlCu2Mn]

-1.43735

-1.44123

icsd-189695-10-[CuHg2Ti]

-1.43735

-1.44123

icsd-260285-10-[UCl3]

-1.42529

-1.42519

icsd-104506-10-[Ni3Sn]

-1.42528

-1.42518

icsd-640726-01-[CuSmP2]

-1.41292

-1.40978

icsd-416747-10-[Al3Zr]

-1.41292

-1.40978

icsd-643301-10-[Au3Cd]

-1.41291

-1.40975

icsd-649037-10-[Ni3Ti]

-1.4073

-1.40643

icsd-648748-01-[Pd4Se]

-1.38485

-1.38743

icsd-69199-10-[U3Si]

-1.38039

-1.38032

icsd-648572-10-[CuInPt2]

-1.38034

-1.38031

icsd-181127-01-[Auricupride-AuCu3]

-1.38034

-1.38031

icsd-609153-10-[AlPt3]

-1.38033

-1.38031

icsd-99787-01-[Fe3Pt]

-1.38032

-1.38031

icsd-42773-01-[IrGe4]

-1.35683

-1.37517

icsd-639148-01-[NiHg4]

-1.35571

-1.35492

icsd-108762-01-[Hg4Pt]

-1.35571

-1.35492

icsd-424636-01-[MnGa4]

-1.35571

-1.35492

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

-1.35547

-1.36046

icsd-107998-01-[MoNi4]

-1.32681

-1.32888

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

-1.31076

-1.31089

icsd-246555-01-[Co2Nd]

-1.28201

-1.2825

icsd-167735-01-[Ru2B3]

-1.2378

-1.23651

icsd-150584-01-[Fe13Ge3]

-1.23128

-1.27031

icsd-105521-01-[Al5W]

-1.18331

-1.18415

icsd-97006-01-[InMg2]

-1.13767

-1.13622

icsd-58745-10-[Fe6Ge6Mg]

-0.84743

-0.86743

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.543

7.701

7.701

7.701

90.0

90.0

90.0

DFT

28.653

7.711

7.711

7.711

90.0

90.0

90.0

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

1

2

3

4

5

6

-14.3

53.7

53.7

0.0

0.0

0.0

53.7

-14.3

53.7

0.0

0.0

0.0

53.7

53.7

-14.3

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 (InNi2(B82)(x=0.33))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

43.717

6.352

6.352

8.412

90.0

90.0

129.41

DFT

38.921

6.058

6.058

7.347

90.0

90.0

120.0

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

1

2

3

4

5

6

20.3

10.0

5.5

0.0

0.0

1.7

10.0

28.7

10.6

0.0

0.0

3.7

5.5

10.6

9.0

0.0

0.0

3.2

0.0

0.0

0.0

-2978.5

4650.9

0.0

0.0

0.0

0.0

4650.9

-6309.2

0.0

1.7

3.7

3.2

0.0

0.0

7.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.634

3.193

3.193

5.421

90.0

90.0

90.0

DFT

29.23

3.43

3.43

5.737

90.0

90.0

120.0

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

1

2

3

4

5

6

23.3

1.6

3.5

0.0

0.0

0.0

1.6

23.3

3.5

0.0

0.0

0.0

3.5

3.5

71.5

0.0

0.0

0.0

0.0

0.0

0.0

18.0

0.0

0.0

0.0

0.0

0.0

0.0

18.0

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

44.645

8.817

8.817

5.742

90.0

90.0

90.0

DFT

45.18

8.426

8.426

6.364

90.0

90.0

90.0

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

1

2

3

4

5

6

-6.8

28.1

5.3

0.0

0.0

-9.9

28.1

-7.8

5.6

0.0

0.0

10.6

5.3

5.6

10.6

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

1.9

0.0

-9.9

10.6

0.0

0.0

0.0

7.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.409

4.615

4.615

8.794

90.0

90.0

90.0

DFT

23.351

4.542

4.542

9.054

90.0

90.0

90.0

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

1

2

3

4

5

6

45.0

48.7

31.7

76737.3

0.0

0.0

48.7

45.0

31.7

-76737.8

0.0

0.0

31.7

31.7

58.5

0.4

0.0

0.0

76737.3

-76737.8

0.4

-277066.1

-138542.6

-0.1

0.0

0.0

0.0

-138542.6

-554147.6

0.0

0.0

0.0

0.0

-0.1

0.0

23.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.352

3.93

3.93

3.93

90.0

90.0

90.0

DFT

31.24

3.968

3.968

3.968

90.0

90.0

90.0

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

1

2

3

4

5

6

10.4

18.6

18.6

0.0

0.0

0.0

18.6

10.4

18.6

0.0

0.0

0.0

18.6

18.6

10.4

0.0

0.0

0.0

0.0

0.0

0.0

29.0

0.0

0.0

0.0

0.0

0.0

0.0

29.0

0.0

0.0

0.0

0.0

0.0

0.0

29.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.595

5.544

5.544

5.544

90.0

90.0

90.0

DFT

42.194

5.526

5.526

5.526

90.0

90.0

90.0

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

1

2

3

4

5

6

14.4

4.1

4.1

0.0

0.0

0.0

4.1

14.4

4.1

0.0

0.0

0.0

4.1

4.1

14.4

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

7.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.437

5.383

5.383

8.786

90.0

90.0

90.0

DFT

41.769

5.017

5.017

9.955

90.0

90.0

90.0

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

1

2

3

4

5

6

28.6

10.8

11.2

0.0

0.0

0.0

10.8

28.6

11.2

0.0

0.0

0.0

11.2

11.2

24.4

0.0

0.0

0.0

0.0

0.0

0.0

0.4

0.0

0.0

0.0

0.0

0.0

0.0

0.4

0.0

0.0

0.0

0.0

0.0

0.0

6.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.441

4.237

4.237

23.564

90.0

90.0

90.0

DFT

28.727

4.136

4.136

26.868

90.0

90.0

90.0

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

1

2

3

4

5

6

62.2

38.0

18.0

0.0

0.0

0.0

38.0

62.2

18.0

0.0

0.0

0.0

18.0

18.0

29.9

0.0

0.0

0.0

0.0

0.0

0.0

15.9

0.0

0.0

0.0

0.0

0.0

0.0

15.9

0.0

0.0

0.0

0.0

0.0

0.0

19.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.405

6.376

6.376

6.376

90.0

90.0

90.0

DFT

32.667

6.393

6.393

6.393

90.0

90.0

90.0

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

1

2

3

4

5

6

34802.4

-17357.8

-17358.0

0.0

1.3

0.0

-17357.8

34800.9

-17358.5

0.0

0.0

1.3

-17358.0

-17358.5

34800.3

1.3

0.0

0.0

0.0

0.0

1.3

-10.3

0.0

0.0

1.3

0.0

0.0

0.0

-10.3

0.0

0.0

1.3

0.0

0.0

0.0

-10.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

40.33

8.519

8.519

5.557

90.0

90.0

90.0

DFT

40.432

8.741

8.741

5.292

90.0

90.0

90.0

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

1

2

3

4

5

6

34.1

30.9

17.0

0.0

0.0

0.0

30.9

34.1

17.0

0.0

0.0

0.0

17.0

17.0

40.1

0.0

0.0

0.0

0.0

0.0

0.0

4.5

0.0

0.0

0.0

0.0

0.0

0.0

4.5

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

49.284

9.18

9.18

5.402

90.0

90.0

120.0

DFT

42.758

8.001

8.001

6.17

90.0

90.0

120.0

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

1

2

3

4

5

6

14.1

12.9

12.3

0.0

0.0

0.0

12.9

14.1

12.3

0.0

0.0

0.0

12.3

12.3

24.7

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

0.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.95

4.248

16.998

7.963

90.0

90.0

90.0

DFT

31.313

4.223

16.768

7.96

90.0

90.0

90.0

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

1

2

3

4

5

6

39.6

10.1

13.7

0.0

0.0

0.0

10.1

28.3

20.2

0.0

0.0

0.0

13.7

20.2

37.8

0.0

0.0

0.0

0.0

0.0

0.0

8.2

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

1.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.26

4.475

4.475

8.466

90.0

90.0

90.0

DFT

28.514

4.663

4.663

7.87

90.0

90.0

90.0

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

1

2

3

4

5

6

55.9

38.3

16.8

0.0

0.0

0.0

38.3

55.9

16.8

0.0

0.0

0.0

16.8

16.8

42.7

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

17.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.352

7.253

7.253

4.979

90.0

90.0

120.0

DFT

27.961

7.219

7.219

4.957

90.0

90.0

120.0

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

1

2

3

4

5

6

22.8

21.0

31.9

0.0

0.0

0.0

21.0

22.8

31.9

0.0

0.0

0.0

31.9

31.9

108.9

0.0

0.0

0.0

0.0

0.0

0.0

5.8

0.0

0.0

0.0

0.0

0.0

0.0

5.8

0.0

0.0

0.0

0.0

0.0

0.0

0.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.773

6.805

6.805

9.882

90.0

90.0

120.0

DFT

24.651

6.769

6.769

9.939

90.0

90.0

120.0

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

1

2

3

4

5

6

155507.3

28.5

17523.0

-77736.8

77736.8

0.1

28.5

-155443.8

-17472.4

-77736.8

77736.8

0.0

17523.0

-17472.4

32.4

-17496.8

17496.8

0.0

-77736.8

-77736.8

-17496.8

12.9

0.0

0.0

77736.8

77736.8

17496.8

0.0

12.9

0.0

0.1

0.0

0.0

0.0

0.0

8.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.726

9.482

9.482

3.667

90.0

90.0

120.0

DFT

36.461

10.236

10.236

3.617

90.0

90.0

120.0

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

1

2

3

4

5

6

37.5

5.2

-0.2

0.0

0.0

0.0

5.2

37.5

-0.2

0.0

0.0

0.0

-0.2

-0.2

72.1

0.0

0.0

0.0

0.0

0.0

0.0

15.5

0.0

0.0

0.0

0.0

0.0

0.0

15.5

0.0

0.0

0.0

0.0

0.0

0.0

16.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.386

8.273

8.273

3.709

90.0

90.0

90.0

DFT

26.126

8.429

8.429

3.677

90.0

90.0

90.0

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

1

2

3

4

5

6

42.7

6.9

17.1

0.0

0.0

1.0

6.9

42.7

17.1

0.0

0.0

-1.0

17.1

17.1

51.7

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

1.0

-1.0

0.0

0.0

0.0

14.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

45.142

12.189

9.077

7.175

96.12

93.96

43.34

DFT

38.19

6.716

6.716

11.731

90.0

90.0

120.0

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

1

2

3

4

5

6

20.8

16.6

12.4

1.7

1.5

-1.5

16.6

38.3

17.5

3.0

1.9

0.2

12.4

17.5

28.7

1.6

2.5

-0.1

1.7

3.0

1.6

6.1

0.6

1.0

1.5

1.9

2.5

0.6

5.5

0.0

-1.5

0.2

-0.1

1.0

0.0

8.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

34.726

8.056

6.506

6.725

90.0

103.03

113.82

DFT

34.841

7.024

7.024

7.34

90.0

90.0

120.0

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

1

2

3

4

5

6

22.3

8.8

15.9

1.3

4.5

-1.0

8.8

26.8

14.3

2.0

3.1

-1.1

15.9

14.3

35.6

1.0

2.2

1.0

1.3

2.0

1.0

5.6

0.1

0.8

4.5

3.1

2.2

0.1

5.8

0.6

-1.0

-1.1

1.0

0.8

0.6

7.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.563

7.224

7.224

7.224

90.0

90.0

90.0

DFT

23.614

7.229

7.229

7.229

90.0

90.0

90.0

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

1

2

3

4

5

6

41.3

48.9

48.9

0.0

0.0

0.0

48.9

41.3

48.9

0.0

0.0

0.0

48.9

48.9

41.3

0.0

0.0

0.0

0.0

0.0

0.0

-51.1

0.0

0.0

0.0

0.0

0.0

0.0

-51.1

0.0

0.0

0.0

0.0

0.0

0.0

-51.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.347

6.469

6.469

6.132

90.0

90.0

141.97

DFT

25.866

5.285

5.285

6.416

90.0

90.0

120.0

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

1

2

3

4

5

6

51.3

19.7

14.8

0.0

0.0

-2.1

19.7

49.4

39.7

0.0

0.0

1.4

14.8

39.7

68.0

0.0

0.0

9.7

0.0

0.0

0.0

13.4

0.1

0.0

0.0

0.0

0.0

0.1

13.3

0.0

-2.1

1.4

9.7

0.0

0.0

14.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.15

4.524

4.524

4.524

90.0

90.0

90.0

DFT

23.202

4.528

4.528

4.528

90.0

90.0

90.0

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

1

2

3

4

5

6

57.7

18.1

18.1

0.0

0.0

0.0

18.1

57.7

18.1

0.0

0.0

0.0

18.1

18.1

57.7

0.0

0.0

0.0

0.0

0.0

0.0

27.8

0.0

0.0

0.0

0.0

0.0

0.0

27.8

0.0

0.0

0.0

0.0

0.0

0.0

27.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.634

3.193

4.516

10.841

90.0

90.0

135.0

DFT

29.024

3.424

3.424

11.432

90.0

90.0

120.0

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

1

2

3

4

5

6

23.3

1.6

3.5

0.0

0.0

0.0

1.6

23.3

3.5

0.0

0.0

0.0

3.5

3.5

71.5

0.0

0.0

0.0

0.0

0.0

0.0

18.0

0.0

0.0

0.0

0.0

0.0

0.0

18.0

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

39.183

5.505

5.505

10.342

90.0

90.0

90.0

DFT

40.482

5.718

5.718

9.905

90.0

90.0

90.0

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

1

2

3

4

5

6

8.8

13.9

4.3

0.0

0.0

0.0

13.9

8.8

4.3

0.0

0.0

0.0

4.3

4.3

3.7

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

7.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.423

10.339

10.339

2.846

90.0

90.0

90.0

DFT

30.862

10.417

10.417

2.844

90.0

90.0

90.0

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

1

2

3

4

5

6

-143740.7

143809.9

18.7

-20837.5

0.0

0.0

143809.9

-143740.7

18.7

51061.0

0.0

0.0

18.7

18.7

72.3

-146988.0

0.0

0.0

-20837.5

51061.0

-146988.0

3.2

0.0

0.0

0.0

0.0

0.0

0.0

4.1

0.0

0.0

0.0

0.0

0.0

0.0

1.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.925

6.645

6.645

9.077

90.0

90.0

120.0

DFT

29.018

6.663

6.663

9.056

90.0

90.0

120.0

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

1

2

3

4

5

6

36.1

23.6

16.8

0.0

0.0

0.0

23.6

36.1

16.8

0.0

0.0

0.0

16.8

16.8

72.9

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

6.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

40.498

6.01

6.528

10.888

96.9

73.98

117.41

DFT

37.854

6.401

6.401

9.601

90.0

90.0

120.0

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

1

2

3

4

5

6

27.9

19.0

9.6

0.2

0.0

0.0

19.0

22.5

10.5

-3.7

0.0

0.0

9.6

10.5

37.0

1.2

0.0

0.0

0.2

-3.7

1.2

6.0

0.0

0.0

0.0

0.0

0.0

0.0

3.1

-1.1

0.0

0.0

0.0

0.0

-1.1

5.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.309

7.769

7.769

7.769

90.0

90.0

90.0

DFT

29.141

7.754

7.754

7.754

90.0

90.0

90.0

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

1

2

3

4

5

6

32.8

25.5

25.5

0.0

0.0

0.0

25.5

32.8

25.5

0.0

0.0

0.0

25.5

25.5

32.8

0.0

0.0

0.0

0.0

0.0

0.0

-35.7

0.0

0.0

0.0

0.0

0.0

0.0

-35.7

0.0

0.0

0.0

0.0

0.0

0.0

-35.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

46.863

8.496

8.43

12.158

90.0

90.0

120.57

DFT

42.664

7.951

7.951

12.467

90.0

90.0

120.0

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

1

2

3

4

5

6

25.2

14.5

15.0

0.0

0.0

1.7

14.5

23.0

11.9

0.0

0.0

-0.9

15.0

11.9

22.1

0.0

0.0

0.3

0.0

0.0

0.0

4.8

0.0

0.0

0.0

0.0

0.0

0.0

5.3

0.0

1.7

-0.9

0.3

0.0

0.0

6.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

41.262

5.525

5.525

21.63

90.0

90.0

90.0

DFT

41.336

5.559

5.559

21.404

90.0

90.0

90.0

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

1

2

3

4

5

6

12.6

7.2

5.3

0.0

0.0

0.0

7.2

12.6

5.3

0.0

0.0

0.0

5.3

5.3

10.9

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

0.0

0.0

0.0

0.0

0.0

0.0

7.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.634

3.193

3.193

5.421

90.0

90.0

90.0

DFT

28.138

3.206

3.206

5.475

90.0

90.0

90.0

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

1

2

3

4

5

6

23.3

1.6

3.5

0.0

0.0

0.0

1.6

23.3

3.5

0.0

0.0

0.0

3.5

3.5

71.5

0.0

0.0

0.0

0.0

0.0

0.0

18.0

0.0

0.0

0.0

0.0

0.0

0.0

18.0

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

39.794

8.603

8.603

8.603

90.0

90.0

90.0

DFT

40.38

8.645

8.645

8.645

90.0

90.0

90.0

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

1

2

3

4

5

6

1.4

12.3

12.3

0.0

0.0

0.0

12.3

1.4

12.3

0.0

0.0

0.0

12.3

12.3

1.4

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

-0.7

0.0

0.0

0.0

0.0

0.0

0.0

-0.7