gtinv-436 (Si-Ag-2022-06-12)

Energy distribution

../../../../_images/distribution951.png

Convex hull (formation energy)

../../../../_images/convex951.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Si

1.0

0.0

Ag

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-sep951.png

Prototype structure energy

../../../../_images/icsd-pred951.png

Phonon density of states

../../../../_images/dos951.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-10-[Fe6Ge6Mg]

-3.83697

-3.83496

icsd-97006-01-[InMg2]

-3.7998

-3.79768

icsd-42773-01-[IrGe4]

-3.77836

-3.77892

icsd-107998-01-[MoNi4]

-3.6784

-3.67915

icsd-648748-01-[Pd4Se]

-3.66834

-3.66847

icsd-167735-01-[Ru2B3]

-3.66752

-3.66738

icsd-105521-01-[Al5W]

-3.6652

-3.6652

icsd-150584-01-[Fe13Ge3]

-3.61139

-3.61012

icsd-69199-10-[U3Si]

-3.58763

-3.59343

icsd-106786-01-[Hg2Pt]

-3.55362

-3.55354

icsd-239-01-[Cu3Se2]

-3.51032

-3.51012

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

-3.50973

-3.51049

icsd-420250-10-[LiPd2Tl]

-3.50914

-3.50906

icsd-105191-10-[Al3Ti]

-3.50909

-3.50912

icsd-416747-10-[Al3Zr]

-3.50838

-3.50932

icsd-640726-01-[CuSmP2]

-3.50834

-3.50927

icsd-643301-10-[Au3Cd]

-3.50834

-3.50932

icsd-99787-01-[Fe3Pt]

-3.49313

-3.4933

icsd-648572-10-[CuInPt2]

-3.49313

-3.49331

icsd-609153-10-[AlPt3]

-3.4931

-3.49337

icsd-181127-01-[Auricupride-AuCu3]

-3.49299

-3.49323

icsd-649037-10-[Ni3Ti]

-3.4903

-3.49214

icsd-260285-10-[UCl3]

-3.48215

-3.48084

icsd-104506-10-[Ni3Sn]

-3.48189

-3.48092

icsd-409859-01-[La2Sb]

-3.46862

-3.46881

icsd-189695-10-[CuHg2Ti]

-3.46819

-3.46887

icsd-188260-01-[Heusler-AlCu2Mn]

-3.46819

-3.46887

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

-3.46509

-3.46517

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

-3.46344

-3.46243

icsd-5258-10-[FeSi2]

-3.45775

-3.45786

icsd-635642-10-[Hg5Mn2]

-3.44786

-3.44804

icsd-155842-01-[Co5Fe11]

-3.44258

-3.44381

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

-3.43431

-3.43429

icsd-58607-01-[Au2Ti]

-3.42826

-3.42805

icsd-58471-10-[CuZr2]

-3.42821

-3.42799

icsd-652553-01-[AlCr2-MoSi2]

-3.42821

-3.42799

icsd-610464-01-[PbClF/Cu2Sb]

-3.41744

-3.41764

icsd-246555-01-[Co2Nd]

-3.37123

-3.3705

icsd-611176-10-[Fe2P]

-3.37006

-3.37745

icsd-105726-10-[Pd5Ti3]

-3.36611

-3.36684

icsd-185626-01-[Al3Ni2]

-3.36589

-3.36598

icsd-16504-10-[CrSi2]

-3.36273

-3.36405

icsd-638227-01-[Fluorite-CaF2]

-3.35966

-3.35978

icsd-169457-01-[ZrH2]

-3.35965

-3.35929

icsd-248490-01-[Pt2Si]

-3.35964

-3.35922

icsd-635208-01-[CoGa3]

-3.35706

-3.35764

icsd-30446-10-[Fe2B]

-3.35024

-3.35011

icsd-59586-10-[Pd5Th3]

-3.33801

-3.33893

icsd-629380-01-[Al3Os2]

-3.32902

-3.32855

icsd-629406-01-[Cu4Ti3]

-3.3044

-3.30601

icsd-103995-10-[Ga3Ti2]

-3.29736

-3.2972

icsd-16606-10-[Nb3Te4]

-3.28779

-3.28901

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

-3.28657

-3.28743

icsd-105948-10-[InNi2]

-3.28657

-3.28743

icsd-73839-01-[Ni3S2]

-3.28145

-3.28088

icsd-424636-01-[MnGa4]

-3.28085

-3.28069

icsd-108762-01-[Hg4Pt]

-3.28085

-3.28069

icsd-639148-01-[NiHg4]

-3.28085

-3.28069

icsd-639879-01-[In5In4]

-3.23454

-3.23463

icsd-100654-01-[BiSe]

-3.23345

-3.23305

icsd-659829-10-[Al2Li3]

-3.23323

-3.23573

icsd-639227-01-[Si2U3]

-3.21869

-3.21858

icsd-639037-01-[HgIn]

-3.21755

-3.21731

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

-3.21755

-3.21731

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

-3.21753

-3.2173

icsd-611618-01-[TiAs]

-3.2102

-3.20983

icsd-618702-01-[ScTe]

-3.2102

-3.20983

icsd-626692-01-[Nickeline-NiAs]

-3.2039

-3.20355

icsd-168897-01-[LaI]

-3.20389

-3.20356

icsd-106325-01-[BiIn]

-3.16823

-3.16767

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

-3.16822

-3.16744

icsd-59508-01-[AuCu]

-3.16822

-3.16744

icsd-108707-01-[HgMn]

-3.16822

-3.16744

icsd-42428-01-[Fe3Pt]

-3.16805

-3.16815

icsd-105636-01-[PbU]

-3.16429

-3.16428

icsd-611457-01-[NbAs]

-3.16424

-3.1642

icsd-161109-01-[CoSn]

-3.16079

-3.16169

icsd-618295-01-[MoC1-x]

-3.15576

-3.15569

icsd-659856-01-[LiPt]

-3.15535

-3.15476

icsd-644708-01-[WC]

-3.15534

-3.15476

icsd-102712-01-[CoU]

-3.14278

-3.14136

icsd-55492-01-[BaPt]

-3.11078

-3.11068

icsd-629406-10-[Cu4Ti3]

-3.10719

-3.10681

icsd-16606-01-[Nb3Te4]

-3.10566

-3.1069

icsd-635060-01-[Fersilicite-FeSi]

-3.10563

-3.10607

icsd-639227-10-[Si2U3]

-3.10002

-3.09998

icsd-650527-01-[CsCl]

-3.08425

-3.08412

icsd-103775-01-[NaTl]

-3.08231

-3.08193

icsd-240119-01-[AlLi]

-3.08226

-3.08154

icsd-103995-01-[Ga3Ti2]

-3.05451

-3.05388

icsd-629380-10-[Al3Os2]

-3.04714

-3.04681

icsd-639879-10-[In5In4]

-3.0445

-3.04428

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

-3.03766

-3.03761

icsd-185626-10-[Al3Ni2]

-3.02524

-3.02651

icsd-105726-01-[Pd5Ti3]

-3.01861

-3.01904

icsd-106786-10-[Hg2Pt]

-3.00932

-3.00931

icsd-239-10-[Cu3Se2]

-3.00107

-3.00102

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

-2.99253

-2.99169

icsd-181788-01-[NaCl]

-2.99116

-2.99039

icsd-42472-01-[CoO]

-2.99115

-2.99074

icsd-59586-01-[Pd5Th3]

-2.98863

-2.98755

icsd-169457-10-[ZrH2]

-2.9823

-2.98207

icsd-638227-10-[Fluorite-CaF2]

-2.98229

-2.98235

icsd-248490-10-[Pt2Si]

-2.98229

-2.98209

icsd-659829-01-[Al2Li3]

-2.9794

-2.97911

icsd-652553-10-[AlCr2-MoSi2]

-2.97108

-2.97185

icsd-58607-10-[Au2Ti]

-2.97108

-2.97185

icsd-58471-01-[CuZr2]

-2.97107

-2.97186

icsd-611176-01-[Fe2P]

-2.96612

-2.96391

icsd-30446-01-[Fe2B]

-2.9629

-2.96293

icsd-409859-10-[La2Sb]

-2.94636

-2.94622

icsd-16504-01-[CrSi2]

-2.94627

-2.9462

icsd-73839-10-[Ni3S2]

-2.94173

-2.94248

icsd-155842-10-[Co5Fe11]

-2.93977

-2.93771

icsd-610464-10-[PbClF/Cu2Sb]

-2.93796

-2.93752

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

-2.93285

-2.93308

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

-2.93176

-2.93146

icsd-105948-01-[InNi2]

-2.93176

-2.93146

icsd-635208-10-[CoGa3]

-2.89905

-2.89681

icsd-635642-01-[Hg5Mn2]

-2.87535

-2.87236

icsd-5258-01-[FeSi2]

-2.87228

-2.87301

icsd-104506-01-[Ni3Sn]

-2.86605

-2.866

icsd-260285-01-[UCl3]

-2.86605

-2.86605

icsd-648748-10-[Pd4Se]

-2.85576

-2.85568

icsd-649037-01-[Ni3Ti]

-2.85402

-2.85425

icsd-420250-01-[LiPd2Tl]

-2.85196

-2.85214

icsd-105191-01-[Al3Ti]

-2.85195

-2.85213

icsd-69199-01-[U3Si]

-2.85126

-2.85099

icsd-609153-01-[AlPt3]

-2.85126

-2.85067

icsd-648572-01-[CuInPt2]

-2.85126

-2.85071

icsd-99787-10-[Fe3Pt]

-2.85126

-2.85071

icsd-181127-10-[Auricupride-AuCu3]

-2.85126

-2.85071

icsd-640726-10-[CuSmP2]

-2.85037

-2.84972

icsd-416747-01-[Al3Zr]

-2.85037

-2.84972

icsd-643301-01-[Au3Cd]

-2.85037

-2.84973

icsd-188260-10-[Heusler-AlCu2Mn]

-2.83318

-2.83497

icsd-189695-01-[CuHg2Ti]

-2.83317

-2.83497

icsd-42773-10-[IrGe4]

-2.82694

-2.82241

icsd-107998-10-[MoNi4]

-2.79689

-2.79648

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

-2.79311

-2.79277

icsd-424636-10-[MnGa4]

-2.77389

-2.77381

icsd-108762-10-[Hg4Pt]

-2.77389

-2.77381

icsd-639148-10-[NiHg4]

-2.77389

-2.77381

icsd-150584-10-[Fe13Ge3]

-2.75369

-2.75285

icsd-105521-10-[Al5W]

-2.74922

-2.74913

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

-2.74613

-2.74622

icsd-246555-10-[Co2Nd]

-2.69574

-2.69603

icsd-97006-10-[InMg2]

-2.68366

-2.68353

icsd-167735-10-[Ru2B3]

-2.59379

-2.59382

icsd-58745-01-[Fe6Ge6Mg]

-2.45039

-2.45034

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.517

6.544

6.544

6.544

90.0

90.0

90.0

DFT

17.421

6.532

6.532

6.532

90.0

90.0

90.0

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

1

2

3

4

5

6

89.4

76.6

76.6

0.0

0.0

0.0

76.6

89.4

76.6

0.0

0.0

0.0

76.6

76.6

89.4

0.0

0.0

0.0

0.0

0.0

0.0

12151.2

0.0

-81547.5

0.0

0.0

0.0

0.0

12149.3

-53564.4

0.0

0.0

0.0

-81547.5

-53564.4

12151.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.483

5.565

2.791

6.978

90.0

90.0

104.52

DFT

16.936

4.598

4.598

5.55

90.0

90.0

120.0

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

1

2

3

4

5

6

96.8

90.1

62.0

0.0

0.0

-1.7

90.1

145.1

54.0

0.0

0.0

-11.7

62.0

54.0

82.5

0.0

0.0

2.2

0.0

0.0

0.0

5.3

-2.3

0.0

0.0

0.0

0.0

-2.3

-3.1

0.0

-1.7

-11.7

2.2

0.0

0.0

9.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.773

2.865

2.865

4.721

90.0

90.0

120.0

DFT

16.74

2.867

2.867

4.704

90.0

90.0

120.0

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

1

2

3

4

5

6

116.9

72.6

59.4

0.0

0.0

0.0

72.6

116.9

59.4

0.0

0.0

0.0

59.4

59.4

103.6

0.0

0.0

0.0

0.0

0.0

0.0

-0.3

0.0

0.0

0.0

0.0

0.0

0.0

-0.3

0.0

0.0

0.0

0.0

0.0

0.0

22.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.633

7.312

7.312

2.924

90.0

90.0

90.0

DFT

16.219

7.047

7.047

3.265

90.0

90.0

90.0

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

1

2

3

4

5

6

122.1

101.3

72.6

0.0

0.0

-9.3

101.3

122.1

72.6

0.0

0.0

9.3

72.6

72.6

95.3

0.0

0.0

0.0

0.0

0.0

0.0

16.0

0.0

0.0

0.0

0.0

0.0

0.0

16.0

0.0

-9.3

9.3

0.0

0.0

0.0

20.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.116

4.107

4.107

8.12

90.0

90.0

90.0

DFT

17.059

4.082

4.082

8.191

90.0

90.0

90.0

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

1

2

3

4

5

6

112.9

97.5

85.3

0.0

0.0

0.0

97.5

112.9

85.3

0.0

0.0

0.0

85.3

85.3

110.1

0.0

0.0

0.0

0.0

0.0

0.0

24.7

0.0

0.0

0.0

0.0

0.0

0.0

24.7

0.0

0.0

0.0

0.0

0.0

0.0

31.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.299

3.258

3.258

3.258

90.0

90.0

90.0

DFT

17.324

3.26

3.26

3.26

90.0

90.0

90.0

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

1

2

3

4

5

6

99.6

118.8

118.8

0.0

0.0

0.0

118.8

99.6

118.8

0.0

0.0

0.0

118.8

118.8

99.6

0.0

0.0

0.0

0.0

0.0

0.0

13.9

0.0

0.0

0.0

0.0

0.0

0.0

13.9

0.0

0.0

0.0

0.0

0.0

0.0

13.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.36

4.03

4.03

4.03

90.0

90.0

90.0

DFT

16.233

4.019

4.019

4.019

90.0

90.0

90.0

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

1

2

3

4

5

6

73.5

77.6

77.6

0.0

0.0

0.0

77.6

73.5

77.6

0.0

0.0

0.0

77.6

77.6

73.5

0.0

0.0

0.0

0.0

0.0

0.0

16.4

0.0

0.0

0.0

0.0

0.0

0.0

16.4

0.0

0.0

0.0

0.0

0.0

0.0

16.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.619

3.456

3.456

8.851

90.0

90.0

90.0

DFT

17.563

3.465

3.465

8.777

90.0

90.0

90.0

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

1

2

3

4

5

6

109.8

66.5

57.4

0.0

0.0

0.0

66.5

109.8

57.4

0.0

0.0

0.0

57.4

57.4

82.4

0.0

0.0

0.0

0.0

0.0

0.0

-94562.6

0.0

0.0

0.0

0.0

0.0

0.0

-94562.6

0.0

0.0

0.0

0.0

0.0

0.0

47.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.1

4.103

4.103

16.25

90.0

90.0

90.0

DFT

17.047

4.077

4.077

16.405

90.0

90.0

90.0

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

1

2

3

4

5

6

125.4

87.0

83.5

0.0

0.0

0.0

87.0

125.4

83.5

0.0

0.0

0.0

83.5

83.5

115.3

0.0

0.0

0.0

0.0

0.0

0.0

26.9

0.0

0.0

0.0

0.0

0.0

0.0

26.9

0.0

0.0

0.0

0.0

0.0

0.0

29.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.401

5.183

5.183

5.183

90.0

90.0

90.0

DFT

17.415

5.184

5.184

5.184

90.0

90.0

90.0

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

1

2

3

4

5

6

-218.3

-24615.3

246.7

0.0

0.0

0.0

-24615.3

-34737.5

32175.8

1061.4

5797.3

15609.2

246.7

32175.8

-218.6

0.0

0.0

0.0

0.0

1061.4

0.0

-94.4

0.0

0.0

0.0

5797.3

0.0

0.0

-93.7

0.0

0.0

15609.2

0.0

0.0

0.0

-94.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.54

8.02

8.02

2.727

90.0

90.0

90.0

DFT

17.589

8.059

8.059

2.708

90.0

90.0

90.0

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

1

2

3

4

5

6

-308420.9

170004.0

14302.7

0.0

0.0

-26797.6

170004.0

-208742.4

51.4

0.0

0.0

-53591.6

14302.7

51.4

137.8

0.0

0.0

0.0

0.0

0.0

0.0

14.4

0.0

0.0

0.0

0.0

0.0

0.0

14.4

0.0

-26797.6

-53591.6

0.0

0.0

0.0

12.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.308

5.797

9.274

5.797

110.72

102.34

97.92

DFT

16.5

5.567

9.614

4.933

90.0

90.0

90.0

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

1

2

3

4

5

6

177.3

79.0

42.5

0.4

5.3

-23.8

79.0

180.8

44.7

-4.8

3.8

28.0

42.5

44.7

210.3

-0.9

1.9

1.8

0.4

-4.8

-0.9

31.2

-2.1

1.1

5.3

3.8

1.9

-2.1

34.4

8.8

-23.8

28.0

1.8

1.1

8.8

64.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.187

2.938

13.766

7.65

90.0

90.0

90.0

DFT

17.095

2.923

13.805

7.626

90.0

90.0

90.0

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

1

2

3

4

5

6

117.8

66.9

71.2

0.0

0.0

0.0

66.9

132.4

70.1

0.0

0.0

0.0

71.2

70.1

123.7

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

5.6

0.0

0.0

0.0

0.0

0.0

0.0

15.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.744

4.037

4.037

6.533

90.0

90.0

90.0

DFT

17.704

4.029

4.029

6.542

90.0

90.0

90.0

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

1

2

3

4

5

6

103.4

75.1

72.5

0.0

0.0

0.0

75.1

103.4

72.5

0.0

0.0

0.0

72.5

72.5

146.5

0.0

0.0

0.0

0.0

0.0

0.0

-16.4

0.0

0.0

0.0

0.0

0.0

0.0

-16.4

0.0

0.0

0.0

0.0

0.0

0.0

23.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.117

5.85

5.85

4.619

90.0

90.0

120.0

DFT

17.066

5.831

5.831

4.637

90.0

90.0

120.0

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

1

2

3

4

5

6

121.0

5114.0

84.1

5035.3

0.0

5035.4

5114.0

10192.1

-16727.9

5035.3

0.0

5035.3

84.1

-16727.9

123.4

-16811.2

0.0

-16811.2

5035.3

5035.3

-16811.2

11.4

0.0

0.0

0.0

0.0

0.0

0.0

12.8

0.0

5035.4

5035.3

-16811.2

0.0

0.0

22.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.096

5.817

5.817

9.335

90.0

90.0

120.0

DFT

17.021

5.791

5.791

9.377

90.0

90.0

120.0

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

1

2

3

4

5

6

136.7

85.3

81.1

0.0

0.0

0.0

85.3

136.7

81.1

0.0

0.0

0.0

81.1

81.1

131.8

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

25.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.292

8.557

8.557

2.753

99.26

80.74

128.31

DFT

16.696

7.774

7.774

2.871

90.0

90.0

120.0

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

1

2

3

4

5

6

125.8

74.3

54.8

2.8

-9.5

0.9

74.3

121.5

58.9

3.5

-3.6

-4.1

54.8

58.9

120.3

-4.6

9.5

3.0

2.8

3.5

-4.6

14.6

2.5

-2.4

-9.5

-3.6

9.5

2.5

10.5

2.7

0.9

-4.1

3.0

-2.4

2.7

23.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.242

6.381

6.381

4.234

90.0

90.0

90.0

DFT

17.21

6.316

6.316

4.315

90.0

90.0

90.0

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

1

2

3

4

5

6

104.5

84.8

92.3

0.0

0.0

-18.3

84.8

104.5

92.3

0.0

0.0

18.3

92.3

92.3

111.9

0.0

0.0

0.0

0.0

0.0

0.0

30.3

0.0

0.0

0.0

0.0

0.0

0.0

30.3

0.0

-18.3

18.3

0.0

0.0

0.0

31.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.203

5.386

7.075

7.199

90.0

90.0

131.19

DFT

16.93

5.671

5.671

7.296

90.0

90.0

120.0

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

1

2

3

4

5

6

77.1

70.4

80.2

0.0

0.0

4.7

70.4

110.8

72.3

0.0

0.0

5.7

80.2

72.3

146.5

0.0

0.0

7.2

0.0

0.0

0.0

6.6

-3.3

0.0

0.0

0.0

0.0

-3.3

25.0

0.0

4.7

5.7

7.2

0.0

0.0

18.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.103

4.927

4.927

7.321

90.0

90.0

120.0

DFT

17.061

4.943

4.943

7.257

90.0

90.0

120.0

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

1

2

3

4

5

6

127.0

111.3

90.7

0.0

0.0

0.0

111.3

127.0

90.7

0.0

0.0

0.0

90.7

90.7

130.1

0.0

0.0

0.0

0.0

0.0

0.0

-25.0

0.0

0.0

0.0

0.0

0.0

0.0

-25.0

0.0

0.0

0.0

0.0

0.0

0.0

7.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.134

6.496

6.496

6.496

90.0

90.0

90.0

DFT

17.253

6.511

6.511

6.511

90.0

90.0

90.0

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

1

2

3

4

5

6

83.9

89.3

89.3

0.0

0.0

0.0

89.3

83.9

89.3

0.0

0.0

0.0

89.3

89.3

83.9

0.0

0.0

0.0

0.0

0.0

0.0

30.3

0.0

0.0

0.0

0.0

0.0

0.0

30.3

0.0

0.0

0.0

0.0

0.0

0.0

30.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.474

4.876

4.876

5.636

90.0

90.0

128.53

DFT

17.292

4.537

4.537

5.82

90.0

90.0

120.0

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

1

2

3

4

5

6

135.2

80.4

68.8

0.0

0.0

-8.5

80.4

129.5

73.2

0.0

0.0

4.9

68.8

73.2

104.7

0.0

0.0

2.8

0.0

0.0

0.0

16.3

0.5

0.0

0.0

0.0

0.0

0.5

15.4

0.0

-8.5

4.9

2.8

0.0

0.0

29.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.071

4.087

4.087

4.087

90.0

90.0

90.0

DFT

17.066

4.087

4.087

4.087

90.0

90.0

90.0

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

1

2

3

4

5

6

120.0

77.2

77.2

0.0

0.0

0.0

77.2

120.0

77.2

0.0

0.0

0.0

77.2

77.2

120.0

0.0

0.0

0.0

0.0

0.0

0.0

30.0

0.0

0.0

0.0

0.0

0.0

0.0

30.0

0.0

0.0

0.0

0.0

0.0

0.0

30.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.7

2.993

2.993

8.61

90.0

90.0

120.0

DFT

16.617

2.988

2.988

8.596

90.0

90.0

120.0

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

1

2

3

4

5

6

109.8

63.9

79.2

0.0

0.0

0.0

63.9

109.8

79.2

0.0

0.0

0.0

79.2

79.2

161.2

0.0

0.0

0.0

0.0

0.0

0.0

26.9

0.0

0.0

0.0

0.0

0.0

0.0

26.9

0.0

0.0

0.0

0.0

0.0

0.0

23.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.165

4.176

4.176

7.416

90.0

90.0

90.0

DFT

16.158

4.196

4.196

7.342

90.0

90.0

90.0

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

1

2

3

4

5

6

86.0

108.0

69.9

0.0

0.0

0.0

108.0

86.0

69.9

0.0

0.0

0.0

69.9

69.9

119.8

0.0

0.0

0.0

0.0

0.0

0.0

0.1

0.0

0.0

0.0

0.0

0.0

0.0

0.1

0.0

0.0

0.0

0.0

0.0

0.0

10.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.848

6.433

6.433

4.313

90.0

90.0

90.0

DFT

17.704

6.422

6.422

4.293

90.0

90.0

90.0

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

1

2

3

4

5

6

66.7

113.8

37.6

0.0

0.0

0.0

113.8

77.3

40.5

0.0

0.0

0.0

37.6

40.5

79.2

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

0.0

0.0

0.0

0.0

0.0

21.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.021

5.025

5.025

9.341

90.01

90.0

120.0

DFT

19.732

5.41

5.41

9.341

90.0

90.0

120.0

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

1

2

3

4

5

6

139.6

93.7

72.7

0.1

0.0

0.0

93.7

139.4

72.7

0.1

0.0

0.0

72.7

72.7

136.8

0.0

0.0

0.0

0.1

0.1

0.0

-3.4

0.0

0.0

0.0

0.0

0.0

0.0

-3.4

0.0

0.0

0.0

0.0

0.0

0.0

22.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.267

6.19

6.192

6.619

90.0

90.0

142.23

DFT

16.913

4.884

4.884

7.368

90.0

90.0

120.0

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

1

2

3

4

5

6

102.5

78.5

81.1

8901.9

0.6

-1.6

78.5

86.5

86.4

-8677.2

-5.7

5.6

81.1

86.4

96.3

-114.6

0.6

-3.0

8901.9

-8677.2

-114.6

-57970.4

70166.4

11257.5

0.6

-5.7

0.6

70166.4

-198713.4

4.5

-1.6

5.6

-3.0

11257.5

4.5

2.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.242

6.51

6.51

6.51

90.0

90.0

90.0

DFT

17.192

6.504

6.504

6.504

90.0

90.0

90.0

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

1

2

3

4

5

6

63.9

101.5

101.5

0.0

0.0

0.0

101.5

63.9

101.5

0.0

0.0

0.0

101.5

101.5

63.9

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

0.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.573

5.2

5.2

10.399

90.0

90.0

90.0

DFT

16.391

5.64

5.64

9.52

90.0

90.0

120.0

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

1

2

3

4

5

6

235.3

68.7

68.7

0.0

0.0

0.0

68.7

235.3

68.7

0.0

0.0

0.0

68.7

68.7

235.3

0.0

0.0

0.0

0.0

0.0

0.0

31.3

0.0

0.0

0.0

0.0

0.0

0.0

31.3

0.0

0.0

0.0

0.0

0.0

0.0

31.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.253

4.132

4.132

15.231

90.0

90.0

90.0

DFT

16.261

4.146

4.146

15.137

90.0

90.0

90.0

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

1

2

3

4

5

6

72.8

108.7

78.4

109027.7

-80691.5

0.0

108.7

72.8

78.4

116878.7

-83707.9

0.0

78.4

78.4

119.3

67570.6

-10061.3

0.0

109027.7

116878.7

67570.6

10367.0

-28628.8

14631.1

-80691.5

-83707.9

-10061.3

-28628.8

7267.2

-6348.7

0.0

0.0

0.0

14631.1

-6348.7

3.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.822

2.839

2.839

4.174

90.0

90.0

90.0

DFT

16.789

2.84

2.84

4.164

90.0

90.0

90.0

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

1

2

3

4

5

6

139.3

60.9

69.6

0.0

0.0

0.0

60.9

139.3

69.6

0.0

0.0

0.0

69.6

69.6

129.1

0.0

0.0

0.0

0.0

0.0

0.0

-2.4

0.0

0.0

0.0

0.0

0.0

0.0

-2.4

0.0

0.0

0.0

0.0

0.0

0.0

13.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.196

6.375

6.375

6.375

90.0

90.0

90.0

DFT

16.274

6.386

6.386

6.386

90.0

90.0

90.0

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

1

2

3

4

5

6

16.3

74.7

74.7

0.0

0.0

0.0

74.7

16.3

74.7

0.0

0.0

0.0

74.7

74.7

16.3

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

3.2