pair-50 (Pd-Pt-2022-06-20)

Energy distribution

../../../../_images/distribution894.png

Convex hull (formation energy)

../../../../_images/convex894.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Pd

0.3125

-0.0371

icsd-155842-01-[Co5Fe11]

0.5

-0.0512

icsd-100654-01-[BiSe]

0.5714

-0.0544

icsd-16606-01-[Nb3Te4]

0.8

-0.0285

icsd-107998-10-[MoNi4]

1.0

0.0

Pt

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-sep894.png

Prototype structure energy

../../../../_images/icsd-pred894.png

Phonon density of states

../../../../_images/dos894.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-97006-10-[InMg2]

-5.21623

-5.21284

icsd-105521-10-[Al5W]

-5.19583

-5.19217

icsd-107998-10-[MoNi4]

-5.16297

-5.16412

icsd-58745-01-[Fe6Ge6Mg]

-5.11745

-5.13917

icsd-150584-10-[Fe13Ge3]

-5.1076

-5.09272

icsd-167735-10-[Ru2B3]

-5.10507

-5.10564

icsd-181127-10-[Auricupride-AuCu3]

-5.08246

-5.08236

icsd-99787-10-[Fe3Pt]

-5.08245

-5.08236

icsd-648572-01-[CuInPt2]

-5.08245

-5.08236

icsd-69199-01-[U3Si]

-5.08245

-5.08222

icsd-609153-01-[AlPt3]

-5.08245

-5.08219

icsd-643301-01-[Au3Cd]

-5.08094

-5.08282

icsd-640726-10-[CuSmP2]

-5.08094

-5.08282

icsd-416747-01-[Al3Zr]

-5.08094

-5.08282

icsd-105191-01-[Al3Ti]

-5.07897

-5.07947

icsd-420250-01-[LiPd2Tl]

-5.07897

-5.07947

icsd-649037-01-[Ni3Ti]

-5.0576

-5.05554

icsd-104506-01-[Ni3Sn]

-5.03431

-5.02671

icsd-260285-01-[UCl3]

-5.03418

-5.02684

icsd-189695-01-[CuHg2Ti]

-4.99587

-4.98905

icsd-188260-10-[Heusler-AlCu2Mn]

-4.99587

-4.98905

icsd-42773-10-[IrGe4]

-4.98684

-4.97656

icsd-155842-10-[Co5Fe11]

-4.97766

-4.97508

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

-4.93375

-4.93592

icsd-58607-10-[Au2Ti]

-4.93101

-4.93139

icsd-652553-10-[AlCr2-MoSi2]

-4.93101

-4.93139

icsd-58471-01-[CuZr2]

-4.931

-4.93141

icsd-105726-01-[Pd5Ti3]

-4.86137

-4.86102

icsd-611176-01-[Fe2P]

-4.86132

-4.8559

icsd-635642-01-[Hg5Mn2]

-4.85773

-4.87938

icsd-648748-10-[Pd4Se]

-4.84629

-4.83134

icsd-16504-01-[CrSi2]

-4.83319

-4.84657

icsd-103995-01-[Ga3Ti2]

-4.83212

-4.82358

icsd-629380-10-[Al3Os2]

-4.81958

-4.81897

icsd-5258-01-[FeSi2]

-4.7821

-4.78286

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

-4.77771

-4.77654

icsd-105948-01-[InNi2]

-4.77761

-4.77649

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

-4.77423

-4.78302

icsd-629406-10-[Cu4Ti3]

-4.77379

-4.76279

icsd-246555-10-[Co2Nd]

-4.74883

-4.74029

icsd-610464-10-[PbClF/Cu2Sb]

-4.74729

-4.73481

icsd-659829-01-[Al2Li3]

-4.74701

-4.74686

icsd-409859-10-[La2Sb]

-4.73951

-4.74972

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

-4.7385

-4.74069

icsd-239-10-[Cu3Se2]

-4.72858

-4.72962

icsd-59586-01-[Pd5Th3]

-4.71103

-4.72121

icsd-100654-01-[BiSe]

-4.66416

-4.65053

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

-4.65767

-4.65756

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

-4.65767

-4.65756

icsd-639037-01-[HgIn]

-4.65767

-4.65756

icsd-42428-01-[Fe3Pt]

-4.65019

-4.6509

icsd-106325-01-[BiIn]

-4.65016

-4.65106

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

-4.65015

-4.65134

icsd-108707-01-[HgMn]

-4.65015

-4.65134

icsd-59508-01-[AuCu]

-4.65015

-4.65134

icsd-105636-01-[PbU]

-4.64832

-4.64509

icsd-611457-01-[NbAs]

-4.64827

-4.64509

icsd-611618-01-[TiAs]

-4.64694

-4.64881

icsd-618702-01-[ScTe]

-4.64694

-4.64881

icsd-639879-10-[In5In4]

-4.64586

-4.65314

icsd-168897-01-[LaI]

-4.63485

-4.639

icsd-626692-01-[Nickeline-NiAs]

-4.63485

-4.639

icsd-659856-01-[LiPt]

-4.61346

-4.61259

icsd-644708-01-[WC]

-4.61345

-4.61259

icsd-169457-10-[ZrH2]

-4.60521

-4.61942

icsd-103775-01-[NaTl]

-4.57412

-4.57693

icsd-240119-01-[AlLi]

-4.57412

-4.57678

icsd-102712-01-[CoU]

-4.56135

-4.55189

icsd-650527-01-[CsCl]

-4.55711

-4.5506

icsd-30446-01-[Fe2B]

-4.54992

-4.55081

icsd-635208-10-[CoGa3]

-4.54911

-4.56624

icsd-629406-01-[Cu4Ti3]

-4.51996

-4.51254

icsd-618295-01-[MoC1-x]

-4.51616

-4.51134

icsd-639227-10-[Si2U3]

-4.51176

-4.49074

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

-4.50698

-4.50901

icsd-16606-10-[Nb3Te4]

-4.49463

-4.47555

icsd-16606-01-[Nb3Te4]

-4.49268

-4.51639

icsd-248490-10-[Pt2Si]

-4.48212

-4.49204

icsd-639879-01-[In5In4]

-4.48057

-4.48116

icsd-103995-10-[Ga3Ti2]

-4.47306

-4.47323

icsd-635060-01-[Fersilicite-FeSi]

-4.46573

-4.44127

icsd-185626-10-[Al3Ni2]

-4.46545

-4.46761

icsd-424636-10-[MnGa4]

-4.46133

-4.46082

icsd-108762-10-[Hg4Pt]

-4.46133

-4.46082

icsd-639148-10-[NiHg4]

-4.46133

-4.46082

icsd-106786-10-[Hg2Pt]

-4.43669

-4.43939

icsd-73839-10-[Ni3S2]

-4.43533

-4.45045

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

-4.42311

-4.42028

icsd-638227-10-[Fluorite-CaF2]

-4.42212

-4.41704

icsd-629380-01-[Al3Os2]

-4.40906

-4.41452

icsd-659829-10-[Al2Li3]

-4.40576

-4.40742

icsd-105726-10-[Pd5Ti3]

-4.3619

-4.36945

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

-4.35182

-4.35372

icsd-58607-01-[Au2Ti]

-4.3474

-4.34748

icsd-58471-10-[CuZr2]

-4.34735

-4.34745

icsd-652553-01-[AlCr2-MoSi2]

-4.34733

-4.34744

icsd-59586-10-[Pd5Th3]

-4.30871

-4.31008

icsd-611176-10-[Fe2P]

-4.29963

-4.29328

icsd-55492-01-[BaPt]

-4.26755

-4.26649

icsd-16504-10-[CrSi2]

-4.26107

-4.26347

icsd-639227-01-[Si2U3]

-4.25763

-4.259

icsd-155842-01-[Co5Fe11]

-4.23631

-4.2699

icsd-105948-10-[InNi2]

-4.23132

-4.22855

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

-4.23132

-4.22855

icsd-69199-10-[U3Si]

-4.20485

-4.20533

icsd-609153-10-[AlPt3]

-4.20485

-4.2053

icsd-648572-10-[CuInPt2]

-4.20485

-4.20505

icsd-181127-01-[Auricupride-AuCu3]

-4.20485

-4.20506

icsd-99787-01-[Fe3Pt]

-4.20482

-4.20504

icsd-185626-01-[Al3Ni2]

-4.20158

-4.20918

icsd-105191-10-[Al3Ti]

-4.20031

-4.20166

icsd-420250-10-[LiPd2Tl]

-4.20031

-4.20166

icsd-643301-10-[Au3Cd]

-4.19951

-4.20451

icsd-416747-10-[Al3Zr]

-4.19951

-4.20451

icsd-640726-01-[CuSmP2]

-4.19951

-4.20451

icsd-649037-10-[Ni3Ti]

-4.1878

-4.18678

icsd-409859-01-[La2Sb]

-4.17281

-4.17373

icsd-260285-10-[UCl3]

-4.1693

-4.16423

icsd-104506-10-[Ni3Sn]

-4.16928

-4.16427

icsd-610464-01-[PbClF/Cu2Sb]

-4.16303

-4.16523

icsd-5258-10-[FeSi2]

-4.16197

-4.16123

icsd-30446-10-[Fe2B]

-4.16184

-4.16071

icsd-239-01-[Cu3Se2]

-4.15186

-4.16505

icsd-635642-10-[Hg5Mn2]

-4.13555

-4.15758

icsd-188260-01-[Heusler-AlCu2Mn]

-4.12913

-4.13913

icsd-189695-10-[CuHg2Ti]

-4.12913

-4.13913

icsd-161109-01-[CoSn]

-4.12439

-4.13255

icsd-107998-01-[MoNi4]

-4.11291

-4.11296

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

-4.11279

-4.11487

icsd-181788-01-[NaCl]

-4.09765

-4.09728

icsd-42472-01-[CoO]

-4.09763

-4.09718

icsd-167735-01-[Ru2B3]

-4.07288

-4.07347

icsd-105521-01-[Al5W]

-4.03983

-4.03522

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

-4.03234

-4.03237

icsd-246555-01-[Co2Nd]

-4.02534

-4.02512

icsd-150584-01-[Fe13Ge3]

-4.02172

-4.03227

icsd-73839-01-[Ni3S2]

-4.01564

-4.02314

icsd-106786-01-[Hg2Pt]

-4.01308

-4.01549

icsd-169457-01-[ZrH2]

-3.94931

-3.95659

icsd-248490-01-[Pt2Si]

-3.92829

-3.92494

icsd-638227-01-[Fluorite-CaF2]

-3.92829

-3.92496

icsd-42773-01-[IrGe4]

-3.91555

-3.91536

icsd-97006-01-[InMg2]

-3.89657

-3.89689

icsd-648748-01-[Pd4Se]

-3.87555

-3.87427

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

-3.85529

-3.85529

icsd-635208-01-[CoGa3]

-3.79791

-3.81883

icsd-58745-10-[Fe6Ge6Mg]

-3.63546

-3.63718

icsd-424636-01-[MnGa4]

-3.52876

-3.52926

icsd-108762-01-[Hg4Pt]

-3.52876

-3.52926

icsd-639148-01-[NiHg4]

-3.52876

-3.52926

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.657

6.304

6.304

6.304

90.0

90.0

90.0

DFT

15.518

6.285

6.285

6.285

90.0

90.0

90.0

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

1

2

3

4

5

6

207.3

214.8

214.8

0.0

0.0

0.0

214.8

207.3

214.8

0.0

0.0

0.0

214.8

214.8

207.3

0.0

0.0

0.0

0.0

0.0

0.0

68.8

0.0

0.0

0.0

0.0

0.0

0.0

68.8

0.0

0.0

0.0

0.0

0.0

0.0

68.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.746

4.53

4.53

5.316

90.0

90.0

120.0

DFT

15.717

4.499

4.499

5.379

90.0

90.0

120.0

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

1

2

3

4

5

6

320.7

227.0

136.3

0.0

0.0

0.0

227.0

320.7

136.3

0.0

0.0

0.0

136.3

136.3

349.7

0.0

0.0

0.0

0.0

0.0

0.0

11.3

0.0

0.0

0.0

0.0

0.0

0.0

11.3

0.0

0.0

0.0

0.0

0.0

0.0

46.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.628

2.79

2.79

4.637

90.0

90.0

120.0

DFT

15.464

2.759

2.759

4.692

90.0

90.0

120.0

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

1

2

3

4

5

6

256.8

189.3

173.4

0.0

0.0

0.0

189.3

256.8

173.4

0.0

0.0

0.0

173.4

173.4

277.2

0.0

0.0

0.0

0.0

0.0

0.0

18.2

0.0

0.0

0.0

0.0

0.0

0.0

18.2

0.0

0.0

0.0

0.0

0.0

0.0

33.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.414

6.244

6.244

3.954

90.0

90.0

90.0

DFT

15.306

6.233

6.233

3.94

90.0

90.0

90.0

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

1

2

3

4

5

6

249.4

141.4

161.8

0.0

0.0

-23.2

141.4

249.4

161.8

0.0

0.0

23.2

161.8

161.8

245.1

0.0

0.0

0.0

0.0

0.0

0.0

79.5

0.0

0.0

0.0

0.0

0.0

0.0

79.5

0.0

-23.2

23.2

0.0

0.0

0.0

61.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.491

3.971

3.971

7.861

90.0

90.0

90.0

DFT

15.454

3.964

3.964

7.87

90.0

90.0

90.0

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

1

2

3

4

5

6

286.5

190.1

191.1

0.0

0.0

0.0

190.1

286.5

191.1

0.0

0.0

0.0

191.1

191.1

258.2

0.0

0.0

0.0

0.0

0.0

0.0

86.2

0.0

0.0

0.0

0.0

0.0

0.0

86.2

0.0

0.0

0.0

0.0

0.0

0.0

84.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.714

3.156

3.156

3.156

90.0

90.0

90.0

DFT

15.515

3.142

3.142

3.142

90.0

90.0

90.0

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

1

2

3

4

5

6

228.2

234.9

234.9

0.0

0.0

0.0

234.9

228.2

234.9

0.0

0.0

0.0

234.9

234.9

228.2

0.0

0.0

0.0

0.0

0.0

0.0

91.1

0.0

0.0

0.0

0.0

0.0

0.0

91.1

0.0

0.0

0.0

0.0

0.0

0.0

91.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.32

3.942

3.942

3.942

90.0

90.0

90.0

DFT

15.306

3.941

3.941

3.941

90.0

90.0

90.0

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

1

2

3

4

5

6

257.0

154.8

154.8

0.0

0.0

0.0

154.8

257.0

154.8

0.0

0.0

0.0

154.8

154.8

257.0

0.0

0.0

0.0

0.0

0.0

0.0

78.9

0.0

0.0

0.0

0.0

0.0

0.0

78.9

0.0

0.0

0.0

0.0

0.0

0.0

78.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.262

3.819

3.819

6.69

90.0

90.0

90.0

DFT

16.277

3.828

3.828

6.666

90.0

90.0

90.0

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

1

2

3

4

5

6

145.4

129.7

143.3

0.0

0.0

0.0

129.7

145.4

143.3

0.0

0.0

0.0

143.3

143.3

316.9

0.0

0.0

0.0

0.0

0.0

0.0

-165.6

0.0

0.0

0.0

0.0

0.0

0.0

-165.6

0.0

0.0

0.0

0.0

0.0

0.0

100.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.447

3.963

3.963

15.733

90.0

90.0

90.0

DFT

15.444

3.957

3.957

15.78

90.0

90.0

90.0

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

1

2

3

4

5

6

293.1

191.0

192.4

0.0

0.0

0.0

191.0

293.1

192.4

0.0

0.0

0.0

192.4

192.4

279.5

0.0

0.0

0.0

0.0

0.0

0.0

92.2

0.0

0.0

0.0

0.0

0.0

0.0

92.2

0.0

0.0

0.0

0.0

0.0

0.0

90.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.223

5.063

5.063

5.063

90.0

90.0

90.0

DFT

15.98

5.038

5.038

5.038

90.0

90.0

90.0

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

1

2

3

4

5

6

-1.8

296.0

296.0

0.0

0.0

1769.4

296.0

-1.8

296.0

0.0

0.0

-21903.0

296.0

296.0

-1.8

0.0

0.0

20722.6

0.0

0.0

0.0

-213556.3

0.0

53696.0

0.0

0.0

0.0

0.0

-213557.4

-53695.3

1769.4

-21903.0

20722.6

53696.0

-53695.3

-214168.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.452

7.631

7.631

2.825

90.0

90.0

90.0

DFT

16.409

7.633

7.633

2.816

90.0

90.0

90.0

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

1

2

3

4

5

6

145.4

77.2

159.8

239007.5

0.0

0.0

77.2

145.4

159.8

239007.5

0.0

0.0

159.8

159.8

274.9

173857.3

0.0

0.0

239007.5

239007.5

173857.3

57.4

0.0

0.0

0.0

0.0

0.0

0.0

62.4

0.0

0.0

0.0

0.0

0.0

0.0

27.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.564

5.599

5.599

4.587

90.0

90.0

120.0

DFT

15.39

5.531

5.531

4.647

90.0

90.0

120.0

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

1

2

3

4

5

6

249.7

171.8

144.1

0.0

0.0

0.0

171.8

249.7

144.1

0.0

0.0

0.0

144.1

144.1

283.1

0.0

0.0

0.0

0.0

0.0

0.0

22.9

0.0

0.0

0.0

0.0

0.0

0.0

22.9

0.0

0.0

0.0

0.0

0.0

0.0

39.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.858

2.773

13.504

7.622

90.0

90.0

90.0

DFT

15.635

2.727

13.333

7.741

90.0

90.0

90.0

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

1

2

3

4

5

6

334.2

172.5

176.3

0.0

0.0

0.0

172.5

236.9

168.2

0.0

0.0

0.0

176.3

168.2

251.7

0.0

0.0

0.0

0.0

0.0

0.0

17.7

0.0

0.0

0.0

0.0

0.0

0.0

17.2

0.0

0.0

0.0

0.0

0.0

0.0

20.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.741

3.911

3.911

6.568

90.0

90.0

90.0

DFT

16.458

3.848

3.848

6.668

90.0

90.0

90.0

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

1

2

3

4

5

6

188.5

131.9

153.5

0.0

0.0

0.0

131.9

188.5

153.5

0.0

0.0

0.0

153.5

153.5

306.6

0.0

0.0

0.0

0.0

0.0

0.0

-47.7

0.0

0.0

0.0

0.0

0.0

0.0

-47.7

0.0

0.0

0.0

0.0

0.0

0.0

80.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.656

5.588

5.588

4.632

90.0

90.0

120.0

DFT

15.543

5.527

5.527

4.7

90.0

90.0

120.0

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

1

2

3

4

5

6

306.6

190.5

159.8

0.0

0.0

0.0

190.5

306.6

159.8

0.0

0.0

0.0

159.8

159.8

279.3

0.0

0.0

0.0

0.0

0.0

0.0

26.5

0.0

0.0

0.0

0.0

0.0

0.0

26.5

0.0

0.0

0.0

0.0

0.0

0.0

58.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.531

5.592

5.592

9.178

90.0

90.0

120.0

DFT

15.495

5.563

5.563

9.249

90.0

90.0

120.0

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

1

2

3

4

5

6

311.2

184.6

155.2

0.0

0.0

0.0

184.6

311.2

155.2

0.0

0.0

0.0

155.2

155.2

294.4

0.0

0.0

0.0

0.0

0.0

0.0

44.6

0.0

0.0

0.0

0.0

0.0

0.0

44.6

0.0

0.0

0.0

0.0

0.0

0.0

63.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.529

7.658

7.658

2.752

90.0

90.0

120.0

DFT

15.561

7.705

7.705

2.724

90.0

90.0

120.0

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

1

2

3

4

5

6

217.5

146.0

123.0

0.0

0.0

0.0

146.0

217.5

123.0

0.0

0.0

0.0

123.0

123.0

284.4

0.0

0.0

0.0

0.0

0.0

0.0

17.1

0.0

0.0

0.0

0.0

0.0

0.0

17.1

0.0

0.0

0.0

0.0

0.0

0.0

35.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.555

6.245

6.245

3.988

90.0

90.0

90.0

DFT

15.476

6.254

6.254

3.957

90.0

90.0

90.0

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

1

2

3

4

5

6

293.7

165.4

184.7

0.0

0.0

-24.1

165.4

293.7

184.7

0.0

0.0

24.1

184.7

184.7

292.4

0.0

0.0

0.0

0.0

0.0

0.0

88.1

0.0

0.0

0.0

0.0

0.0

0.0

88.1

0.0

-24.1

24.1

0.0

0.0

0.0

72.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.274

4.814

4.814

9.131

90.0

90.0

120.0

DFT

15.96

5.174

5.174

8.261

90.0

90.0

120.0

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

1

2

3

4

5

6

302.8

169.3

137.3

0.0

0.0

0.0

169.3

302.8

137.3

0.0

0.0

0.0

137.3

137.3

277.1

0.0

0.0

0.0

0.0

0.0

0.0

52.3

0.0

0.0

0.0

0.0

0.0

0.0

52.3

0.0

0.0

0.0

0.0

0.0

0.0

66.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.793

4.804

4.804

7.112

90.0

90.0

120.0

DFT

15.693

4.759

4.759

7.202

90.0

90.0

120.0

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

1

2

3

4

5

6

272.0

165.7

132.2

0.0

0.0

0.0

165.7

272.0

132.2

0.0

0.0

0.0

132.2

132.2

316.3

0.0

0.0

0.0

0.0

0.0

0.0

-78.2

0.0

0.0

0.0

0.0

0.0

0.0

-78.2

0.0

0.0

0.0

0.0

0.0

0.0

53.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.062

6.358

6.358

6.358

90.0

90.0

90.0

DFT

15.613

6.298

6.298

6.298

90.0

90.0

90.0

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

1

2

3

4

5

6

198.5

221.3

221.3

0.0

0.0

0.0

221.3

198.5

221.3

0.0

0.0

0.0

221.3

221.3

198.5

0.0

0.0

0.0

0.0

0.0

0.0

80.7

0.0

0.0

0.0

0.0

0.0

0.0

80.7

0.0

0.0

0.0

0.0

0.0

0.0

80.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.748

4.533

4.533

5.31

90.0

90.0

120.0

DFT

15.748

4.511

4.511

5.362

90.0

90.0

120.0

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

1

2

3

4

5

6

249.8

247.2

133.5

63564.1

0.0

0.0

247.2

249.8

133.5

63584.1

0.0

0.0

133.5

133.5

407.7

-100287.6

0.0

0.0

63564.1

63584.1

-100287.6

4.2

1.0

-1.3

0.0

0.0

0.0

1.0

1.0

0.0

0.0

0.0

0.0

-1.3

0.0

1.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.459

3.954

3.954

3.954

90.0

90.0

90.0

DFT

15.449

3.954

3.954

3.954

90.0

90.0

90.0

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

1

2

3

4

5

6

280.8

190.4

190.4

0.0

0.0

0.0

190.4

280.8

190.4

0.0

0.0

0.0

190.4

190.4

280.8

0.0

0.0

0.0

0.0

0.0

0.0

92.8

0.0

0.0

0.0

0.0

0.0

0.0

92.8

0.0

0.0

0.0

0.0

0.0

0.0

92.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.528

2.786

2.786

9.239

90.0

90.0

120.0

DFT

15.403

2.775

2.775

9.237

90.0

90.0

120.0

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

1

2

3

4

5

6

290.8

180.3

151.1

0.0

0.0

0.0

180.3

290.8

151.1

0.0

0.0

0.0

151.1

151.1

242.3

0.0

0.0

0.0

0.0

0.0

0.0

37.0

0.0

0.0

0.0

0.0

0.0

0.0

37.0

0.0

0.0

0.0

0.0

0.0

0.0

55.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.357

3.962

3.962

7.825

90.0

90.0

90.0

DFT

15.312

3.951

3.951

7.846

90.0

90.0

90.0

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

1

2

3

4

5

6

251.4

168.8

176.8

0.0

0.0

0.0

168.8

251.4

176.8

0.0

0.0

0.0

176.8

176.8

273.6

0.0

0.0

0.0

0.0

0.0

0.0

83.5

0.0

0.0

0.0

0.0

0.0

0.0

83.5

0.0

0.0

0.0

0.0

0.0

0.0

79.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.759

8.869

6.847

2.746

90.0

90.0

70.93

DFT

16.274

7.632

7.632

2.794

90.0

90.0

90.0

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

1

2

3

4

5

6

247.1

173.8

157.7

0.0

0.0

-18.5

173.8

303.0

149.7

0.0

0.0

4.0

157.7

149.7

322.2

0.0

0.0

12.0

0.0

0.0

0.0

32.4

3.4

0.0

0.0

0.0

0.0

3.4

6.0

0.0

-18.5

4.0

12.0

0.0

0.0

64.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.65

4.883

4.883

9.096

90.0

90.0

120.0

DFT

16.616

5.254

5.254

8.34

90.0

90.0

120.0

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

1

2

3

4

5

6

274.5

159.7

122.5

0.0

0.0

0.0

159.7

274.5

122.5

0.0

0.0

0.0

122.5

122.5

280.0

0.0

0.0

0.0

0.0

0.0

0.0

47.6

0.0

0.0

0.0

0.0

0.0

0.0

47.6

0.0

0.0

0.0

0.0

0.0

0.0

57.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.7

4.797

4.797

7.09

90.0

90.0

120.0

DFT

15.592

4.767

4.767

7.132

90.0

90.0

120.0

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

1

2

3

4

5

6

244.0

141.4

111.4

0.0

0.0

0.0

141.4

244.0

111.4

0.0

0.0

0.0

111.4

111.4

317.1

0.0

0.0

0.0

0.0

0.0

0.0

-43.2

0.0

0.0

0.0

0.0

0.0

0.0

-43.2

0.0

0.0

0.0

0.0

0.0

0.0

51.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.531

6.287

6.287

6.287

90.0

90.0

90.0

DFT

15.521

6.286

6.286

6.286

90.0

90.0

90.0

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

1

2

3

4

5

6

115.1

152.2

152.2

0.0

0.0

0.0

152.2

115.1

152.2

0.0

0.0

0.0

152.2

152.2

115.1

0.0

0.0

0.0

0.0

0.0

0.0

79.9

0.0

0.0

0.0

0.0

0.0

0.0

79.9

0.0

0.0

0.0

0.0

0.0

0.0

79.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.431

5.589

5.589

9.128

90.0

90.0

120.0

DFT

15.343

5.559

5.559

9.175

90.0

90.0

120.0

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

1

2

3

4

5

6

264.0

156.8

136.8

0.0

0.0

0.0

156.8

264.0

136.8

0.0

0.0

0.0

136.8

136.8

278.9

0.0

0.0

0.0

0.0

0.0

0.0

40.3

0.0

0.0

0.0

0.0

0.0

0.0

40.3

0.0

0.0

0.0

0.0

0.0

0.0

53.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.385

3.956

3.956

15.728

90.0

90.0

90.0

DFT

15.307

3.944

3.944

15.747

90.0

90.0

90.0

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

1

2

3

4

5

6

249.8

157.4

168.4

0.0

0.0

0.0

157.4

249.8

168.4

0.0

0.0

0.0

168.4

168.4

263.9

0.0

0.0

0.0

0.0

0.0

0.0

78.1

0.0

0.0

0.0

0.0

0.0

0.0

78.1

0.0

0.0

0.0

0.0

0.0

0.0

76.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.384

2.795

2.795

3.94

90.0

90.0

90.0

DFT

15.36

2.788

2.788

3.952

90.0

90.0

90.0

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

1

2

3

4

5

6

302.4

136.1

162.0

0.0

0.0

0.0

136.1

302.4

162.0

0.0

0.0

0.0

162.0

162.0

268.0

0.0

0.0

0.0

0.0

0.0

0.0

81.0

0.0

0.0

0.0

0.0

0.0

0.0

81.0

0.0

0.0

0.0

0.0

0.0

0.0

49.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.733

6.314

6.314

6.314

90.0

90.0

90.0

DFT

15.444

6.275

6.275

6.275

90.0

90.0

90.0

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

1

2

3

4

5

6

171.5

197.0

197.0

0.0

0.0

0.0

197.0

171.5

197.0

0.0

0.0

0.0

197.0

197.0

171.5

0.0

0.0

0.0

0.0

0.0

0.0

76.6

0.0

0.0

0.0

0.0

0.0

0.0

76.6

0.0

0.0

0.0

0.0

0.0

0.0

76.6