gtinv-182 (Si-Ag-2022-06-12)

Energy distribution

../../../../_images/distribution947.png

Convex hull (formation energy)

../../../../_images/convex947.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-sep947.png

Prototype structure energy

../../../../_images/icsd-pred947.png

Phonon density of states

../../../../_images/dos947.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-10-[Fe6Ge6Mg]

-3.82575

-3.83496

icsd-97006-01-[InMg2]

-3.79868

-3.79768

icsd-42773-01-[IrGe4]

-3.76795

-3.77892

icsd-107998-01-[MoNi4]

-3.6771

-3.67915

icsd-167735-01-[Ru2B3]

-3.66762

-3.66738

icsd-648748-01-[Pd4Se]

-3.66715

-3.66847

icsd-105521-01-[Al5W]

-3.66474

-3.6652

icsd-150584-01-[Fe13Ge3]

-3.61171

-3.61012

icsd-69199-10-[U3Si]

-3.5739

-3.59343

icsd-106786-01-[Hg2Pt]

-3.55351

-3.55354

icsd-239-01-[Cu3Se2]

-3.51021

-3.51012

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

-3.50982

-3.51049

icsd-420250-10-[LiPd2Tl]

-3.50843

-3.50906

icsd-105191-10-[Al3Ti]

-3.50833

-3.50912

icsd-416747-10-[Al3Zr]

-3.50648

-3.50932

icsd-643301-10-[Au3Cd]

-3.50645

-3.50932

icsd-640726-01-[CuSmP2]

-3.50644

-3.50927

icsd-649037-10-[Ni3Ti]

-3.49674

-3.49214

icsd-99787-01-[Fe3Pt]

-3.49326

-3.4933

icsd-648572-10-[CuInPt2]

-3.49326

-3.49331

icsd-609153-10-[AlPt3]

-3.49322

-3.49337

icsd-181127-01-[Auricupride-AuCu3]

-3.49307

-3.49323

icsd-104506-10-[Ni3Sn]

-3.48246

-3.48092

icsd-260285-10-[UCl3]

-3.48236

-3.48084

icsd-188260-01-[Heusler-AlCu2Mn]

-3.47006

-3.46887

icsd-189695-10-[CuHg2Ti]

-3.47006

-3.46887

icsd-409859-01-[La2Sb]

-3.46813

-3.46881

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

-3.46408

-3.46517

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

-3.46309

-3.46243

icsd-5258-10-[FeSi2]

-3.45784

-3.45786

icsd-635642-10-[Hg5Mn2]

-3.44537

-3.44804

icsd-155842-01-[Co5Fe11]

-3.44042

-3.44381

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

-3.43419

-3.43429

icsd-58607-01-[Au2Ti]

-3.42829

-3.42805

icsd-58471-10-[CuZr2]

-3.42824

-3.42799

icsd-652553-01-[AlCr2-MoSi2]

-3.42824

-3.42799

icsd-610464-01-[PbClF/Cu2Sb]

-3.4178

-3.41764

icsd-246555-01-[Co2Nd]

-3.37203

-3.3705

icsd-105726-10-[Pd5Ti3]

-3.366

-3.36684

icsd-185626-01-[Al3Ni2]

-3.36488

-3.36598

icsd-611176-10-[Fe2P]

-3.36367

-3.37745

icsd-16504-10-[CrSi2]

-3.36185

-3.36405

icsd-638227-01-[Fluorite-CaF2]

-3.36012

-3.35978

icsd-248490-01-[Pt2Si]

-3.36011

-3.35922

icsd-169457-01-[ZrH2]

-3.36009

-3.35929

icsd-635208-01-[CoGa3]

-3.35769

-3.35764

icsd-30446-10-[Fe2B]

-3.35021

-3.35011

icsd-59586-10-[Pd5Th3]

-3.33792

-3.33893

icsd-629380-01-[Al3Os2]

-3.32869

-3.32855

icsd-629406-01-[Cu4Ti3]

-3.30341

-3.30601

icsd-103995-10-[Ga3Ti2]

-3.29628

-3.2972

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

-3.28615

-3.28743

icsd-105948-10-[InNi2]

-3.28615

-3.28743

icsd-16606-10-[Nb3Te4]

-3.28167

-3.28901

icsd-424636-01-[MnGa4]

-3.28082

-3.28069

icsd-108762-01-[Hg4Pt]

-3.28082

-3.28069

icsd-639148-01-[NiHg4]

-3.28082

-3.28069

icsd-73839-01-[Ni3S2]

-3.27912

-3.28088

icsd-659829-10-[Al2Li3]

-3.23469

-3.23573

icsd-639879-01-[In5In4]

-3.23404

-3.23463

icsd-100654-01-[BiSe]

-3.23319

-3.23305

icsd-639227-01-[Si2U3]

-3.21863

-3.21858

icsd-639037-01-[HgIn]

-3.21701

-3.21731

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

-3.21701

-3.21731

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

-3.21697

-3.2173

icsd-618702-01-[ScTe]

-3.21035

-3.20983

icsd-611618-01-[TiAs]

-3.21034

-3.20983

icsd-626692-01-[Nickeline-NiAs]

-3.20313

-3.20355

icsd-168897-01-[LaI]

-3.20308

-3.20356

icsd-106325-01-[BiIn]

-3.16794

-3.16767

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

-3.16791

-3.16744

icsd-59508-01-[AuCu]

-3.16791

-3.16744

icsd-108707-01-[HgMn]

-3.16791

-3.16744

icsd-42428-01-[Fe3Pt]

-3.16765

-3.16815

icsd-105636-01-[PbU]

-3.16456

-3.16428

icsd-611457-01-[NbAs]

-3.16451

-3.1642

icsd-161109-01-[CoSn]

-3.1613

-3.16169

icsd-618295-01-[MoC1-x]

-3.15535

-3.15569

icsd-644708-01-[WC]

-3.15499

-3.15476

icsd-659856-01-[LiPt]

-3.15493

-3.15476

icsd-102712-01-[CoU]

-3.1446

-3.14136

icsd-55492-01-[BaPt]

-3.11084

-3.11068

icsd-629406-10-[Cu4Ti3]

-3.1073

-3.10681

icsd-635060-01-[Fersilicite-FeSi]

-3.106

-3.10607

icsd-16606-01-[Nb3Te4]

-3.10354

-3.1069

icsd-639227-10-[Si2U3]

-3.10027

-3.09998

icsd-650527-01-[CsCl]

-3.08454

-3.08412

icsd-103775-01-[NaTl]

-3.08197

-3.08193

icsd-240119-01-[AlLi]

-3.08193

-3.08154

icsd-103995-01-[Ga3Ti2]

-3.05489

-3.05388

icsd-629380-10-[Al3Os2]

-3.04714

-3.04681

icsd-639879-10-[In5In4]

-3.04436

-3.04428

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

-3.03746

-3.03761

icsd-185626-10-[Al3Ni2]

-3.02418

-3.02651

icsd-105726-01-[Pd5Ti3]

-3.01856

-3.01904

icsd-106786-10-[Hg2Pt]

-3.00926

-3.00931

icsd-239-10-[Cu3Se2]

-3.00118

-3.00102

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

-2.99262

-2.99169

icsd-181788-01-[NaCl]

-2.99064

-2.99039

icsd-42472-01-[CoO]

-2.99064

-2.99074

icsd-59586-01-[Pd5Th3]

-2.9886

-2.98755

icsd-659829-01-[Al2Li3]

-2.98477

-2.97911

icsd-169457-10-[ZrH2]

-2.98217

-2.98207

icsd-638227-10-[Fluorite-CaF2]

-2.98214

-2.98235

icsd-248490-10-[Pt2Si]

-2.98214

-2.98209

icsd-652553-10-[AlCr2-MoSi2]

-2.97116

-2.97185

icsd-58607-10-[Au2Ti]

-2.97116

-2.97185

icsd-58471-01-[CuZr2]

-2.97114

-2.97186

icsd-611176-01-[Fe2P]

-2.96425

-2.96391

icsd-30446-01-[Fe2B]

-2.96317

-2.96293

icsd-409859-10-[La2Sb]

-2.94612

-2.94622

icsd-16504-01-[CrSi2]

-2.94587

-2.9462

icsd-73839-10-[Ni3S2]

-2.94164

-2.94248

icsd-155842-10-[Co5Fe11]

-2.93854

-2.93771

icsd-610464-10-[PbClF/Cu2Sb]

-2.93773

-2.93752

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

-2.93305

-2.93308

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

-2.93154

-2.93146

icsd-105948-01-[InNi2]

-2.93154

-2.93146

icsd-635208-10-[CoGa3]

-2.90602

-2.89681

icsd-635642-01-[Hg5Mn2]

-2.87881

-2.87236

icsd-5258-01-[FeSi2]

-2.87247

-2.87301

icsd-260285-01-[UCl3]

-2.86467

-2.86605

icsd-104506-01-[Ni3Sn]

-2.86466

-2.866

icsd-649037-01-[Ni3Ti]

-2.85612

-2.85425

icsd-648748-10-[Pd4Se]

-2.85415

-2.85568

icsd-420250-01-[LiPd2Tl]

-2.85169

-2.85214

icsd-105191-01-[Al3Ti]

-2.85169

-2.85213

icsd-69199-01-[U3Si]

-2.85077

-2.85099

icsd-609153-01-[AlPt3]

-2.85077

-2.85067

icsd-648572-01-[CuInPt2]

-2.85076

-2.85071

icsd-99787-10-[Fe3Pt]

-2.85076

-2.85071

icsd-181127-10-[Auricupride-AuCu3]

-2.85076

-2.85071

icsd-643301-01-[Au3Cd]

-2.85042

-2.84973

icsd-416747-01-[Al3Zr]

-2.85042

-2.84972

icsd-640726-10-[CuSmP2]

-2.85041

-2.84972

icsd-189695-01-[CuHg2Ti]

-2.83183

-2.83497

icsd-188260-10-[Heusler-AlCu2Mn]

-2.83183

-2.83497

icsd-42773-10-[IrGe4]

-2.82676

-2.82241

icsd-107998-10-[MoNi4]

-2.79781

-2.79648

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

-2.79309

-2.79277

icsd-639148-10-[NiHg4]

-2.774

-2.77381

icsd-108762-10-[Hg4Pt]

-2.774

-2.77381

icsd-424636-10-[MnGa4]

-2.774

-2.77381

icsd-150584-10-[Fe13Ge3]

-2.75522

-2.75285

icsd-105521-10-[Al5W]

-2.7493

-2.74913

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

-2.74582

-2.74622

icsd-246555-10-[Co2Nd]

-2.69548

-2.69603

icsd-97006-10-[InMg2]

-2.68388

-2.68353

icsd-167735-10-[Ru2B3]

-2.59383

-2.59382

icsd-58745-01-[Fe6Ge6Mg]

-2.44471

-2.45034

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.719

6.569

6.569

6.569

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

80.1

65.2

65.2

0.0

-13201.8

0.0

65.2

80.1

65.2

0.0

-4014.8

0.0

65.2

65.2

80.1

0.0

-51013.3

0.0

0.0

0.0

0.0

-13604.9

-12197.6

0.0

-13201.8

-4014.8

-51013.3

-12197.6

-6841.8

-1766.0

0.0

0.0

0.0

0.0

-1766.0

-13604.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.748

6.718

3.312

5.011

90.0

90.0

115.67

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

135.4

83.1

79.8

0.0

0.0

13.1

83.1

91.1

71.3

0.0

0.0

10.2

79.8

71.3

109.1

0.0

0.0

8.9

0.0

0.0

0.0

16.4

1.2

0.0

0.0

0.0

0.0

1.2

22.5

0.0

13.1

10.2

8.9

0.0

0.0

22.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.681

2.888

2.888

4.618

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

116.5

90.3

81.8

0.0

0.0

0.0

90.3

116.5

81.8

0.0

0.0

0.0

81.8

81.8

130.3

0.0

0.0

0.0

0.0

0.0

0.0

-1.3

0.0

0.0

0.0

0.0

0.0

0.0

-1.3

0.0

0.0

0.0

0.0

0.0

0.0

13.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.239

6.545

7.563

3.353

90.0

90.0

101.87

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

106.3

92.3

73.2

0.0

0.0

-4.1

92.3

86.6

68.6

0.0

0.0

1.0

73.2

68.6

91.2

0.0

0.0

10.6

0.0

0.0

0.0

8.8

-6.1

0.0

0.0

0.0

0.0

-6.1

20.1

0.0

-4.1

1.0

10.6

0.0

0.0

18.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.076

4.087

4.087

8.177

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

114.8

103.0

91.2

0.0

0.0

0.0

103.0

114.8

91.2

0.0

0.0

0.0

91.2

91.2

115.1

0.0

0.0

0.0

0.0

0.0

0.0

24.2

0.0

0.0

0.0

0.0

0.0

0.0

24.2

0.0

0.0

0.0

0.0

0.0

0.0

24.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.268

3.257

3.257

3.257

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

71.9

94.4

94.4

0.0

0.0

0.0

94.4

71.9

94.4

0.0

0.0

0.0

94.4

94.4

71.9

0.0

0.0

0.0

0.0

0.0

0.0

21.4

0.0

0.0

0.0

0.0

0.0

0.0

21.4

0.0

0.0

0.0

0.0

0.0

0.0

21.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.374

4.031

4.031

4.031

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

81.4

91.2

91.2

0.0

0.0

0.0

91.2

81.4

91.2

0.0

0.0

0.0

91.2

91.2

81.4

0.0

0.0

0.0

0.0

0.0

0.0

-2.7

0.0

0.0

0.0

0.0

0.0

0.0

-2.7

0.0

0.0

0.0

0.0

0.0

0.0

-2.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.581

3.463

3.463

8.798

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

94.3

71.4

53.3

0.0

0.0

0.0

71.4

94.3

53.3

0.0

0.0

0.0

53.3

53.3

101.2

0.0

0.0

0.0

0.0

0.0

0.0

-70232.4

0.0

0.0

0.0

0.0

0.0

0.0

-70232.4

0.0

0.0

0.0

0.0

0.0

0.0

43.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.192

4.072

4.072

16.592

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

111.1

89.4

79.6

0.0

0.0

0.0

89.4

111.1

79.6

0.0

0.0

0.0

79.6

79.6

110.4

0.0

0.0

0.0

0.0

0.0

0.0

20.3

0.0

0.0

0.0

0.0

0.0

0.0

20.3

0.0

0.0

0.0

0.0

0.0

0.0

27.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.3

5.173

5.173

5.173

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

-120485.8

60401.9

60401.9

1.4

0.0

0.4

60401.9

-120485.8

60401.9

0.7

0.2

0.0

60401.9

60401.9

-120485.8

0.0

0.2

-3.1

1.4

0.7

0.0

46810.5

0.0

0.0

0.0

0.2

0.2

0.0

46810.5

0.0

0.4

0.0

-3.1

0.0

0.0

46810.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.444

8.019

8.019

2.713

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

-117201.0

117373.6

58.3

0.0

0.0

0.0

117373.6

-117201.0

58.3

0.0

0.0

0.0

58.3

58.3

155.1

0.0

0.0

0.0

0.0

0.0

0.0

7.3

0.0

0.0

0.0

0.0

0.0

0.0

7.3

0.0

0.0

0.0

0.0

0.0

0.0

15.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.18

5.857

8.928

6.016

115.83

76.33

93.64

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

99.8

78.0

52.6

8.3

3.8

13.0

78.0

113.9

39.8

3.0

-3.1

29.7

52.6

39.8

123.3

5.3

2.1

0.4

8.3

3.0

5.3

21.9

-3.1

-4.2

3.8

-3.1

2.1

-3.1

23.8

3.8

13.0

29.7

0.4

-4.2

3.8

18.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.244

2.924

13.876

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

132.7

71.6

77.7

0.0

0.0

0.0

71.6

129.7

76.0

0.0

0.0

0.0

77.7

76.0

132.3

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

13.6

0.0

0.0

0.0

0.0

0.0

0.0

12.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.715

4.012

4.012

6.604

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

89.5

66.2

69.4

0.0

0.0

0.0

66.2

89.5

69.4

0.0

0.0

0.0

69.4

69.4

150.3

0.0

0.0

0.0

0.0

0.0

0.0

-13.3

0.0

0.0

0.0

0.0

0.0

0.0

-13.3

0.0

0.0

0.0

0.0

0.0

0.0

19.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.149

5.83

5.83

4.661

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

110.0

66.9

70.8

0.0

0.0

0.1

66.9

110.0

70.8

0.0

0.0

0.0

70.8

70.8

107.7

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

5.8

0.0

0.1

0.0

0.0

0.0

0.0

21.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.208

5.822

5.822

9.378

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

112.7

71.4

74.8

0.0

0.0

0.0

71.4

112.7

74.8

0.0

0.0

0.0

74.8

74.8

118.2

0.0

0.0

0.0

0.0

0.0

0.0

18.5

0.0

0.0

0.0

0.0

0.0

0.0

18.5

0.0

0.0

0.0

0.0

0.0

0.0

20.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.901

10.829

5.35

3.684

90.0

120.69

79.14

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

102.6

50.8

49.6

-1.7

-0.8

-6.5

50.8

72.5

47.4

8.4

-0.6

12.3

49.6

47.4

106.7

-0.3

-0.7

-1.8

-1.7

8.4

-0.3

15.8

-2.9

0.6

-0.8

-0.6

-0.7

-2.9

27.9

-3.0

-6.5

12.3

-1.8

0.6

-3.0

20.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.181

6.387

6.387

4.212

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

114.1

92.8

96.5

0.0

0.0

-11.1

92.8

114.1

96.5

0.0

0.0

11.1

96.5

96.5

104.7

0.0

0.0

0.0

0.0

0.0

0.0

28.7

0.0

0.0

0.0

0.0

0.0

0.0

28.7

0.0

-11.1

11.1

0.0

0.0

0.0

31.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.267

7.104

6.364

7.603

90.0

90.0

140.38

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

125.7

54.2

70.4

0.0

0.0

8.0

54.2

85.9

63.5

0.0

0.0

-5.1

70.4

63.5

139.9

0.0

0.0

1.4

0.0

0.0

0.0

20.6

3.1

0.0

0.0

0.0

0.0

3.1

17.3

0.0

8.0

-5.1

1.4

0.0

0.0

19.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.11

4.946

4.946

7.268

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

107.6

89.7

77.0

0.0

0.0

0.0

89.7

107.6

77.0

0.0

0.0

0.0

77.0

77.0

125.7

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

9.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.276

6.514

6.514

6.514

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

85.5

87.7

87.7

0.0

0.0

0.0

87.7

85.5

87.7

0.0

0.0

0.0

87.7

87.7

85.5

0.0

0.0

0.0

0.0

0.0

0.0

20.6

0.0

0.0

0.0

0.0

0.0

0.0

20.6

0.0

0.0

0.0

0.0

0.0

0.0

20.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.527

4.873

4.873

5.694

90.0

90.0

128.96

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

118.4

75.0

70.4

0.0

0.0

-2.1

75.0

124.5

80.3

0.0

0.0

5.9

70.4

80.3

116.1

0.0

0.0

6.1

0.0

0.0

0.0

19.8

1.6

0.0

0.0

0.0

0.0

1.6

17.2

0.0

-2.1

5.9

6.1

0.0

0.0

24.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.205

4.098

4.098

4.098

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

106.0

70.8

70.8

0.0

0.0

0.0

70.8

106.0

70.8

0.0

0.0

0.0

70.8

70.8

106.0

0.0

0.0

0.0

0.0

0.0

0.0

23.1

0.0

0.0

0.0

0.0

0.0

0.0

23.1

0.0

0.0

0.0

0.0

0.0

0.0

23.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.705

2.981

2.981

8.684

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

114.8

78.4

88.3

0.0

0.0

0.0

78.4

114.8

88.3

0.0

0.0

0.0

88.3

88.3

158.4

0.0

0.0

0.0

0.0

0.0

0.0

29.1

0.0

0.0

0.0

0.0

0.0

0.0

29.1

0.0

0.0

0.0

0.0

0.0

0.0

18.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.102

4.17

4.17

7.409

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

98.8

103.3

72.4

0.0

0.0

0.0

103.3

98.8

72.4

0.0

0.0

0.0

72.4

72.4

113.6

0.0

0.0

0.0

0.0

0.0

0.0

-10.2

0.0

0.0

0.0

0.0

0.0

0.0

-10.2

0.0

0.0

0.0

0.0

0.0

0.0

-9.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.802

6.449

6.449

4.281

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

91.8

108.3

50.3

0.0

0.0

0.0

108.3

91.8

50.3

0.0

0.0

0.0

50.3

50.3

84.5

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

27.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.965

5.075

5.075

9.126

90.0

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

126.0

86.4

86.4

0.0

0.0

0.0

86.4

125.3

86.2

0.0

0.0

0.0

86.4

86.2

131.5

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

19.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.623

5.9

7.665

7.646

79.25

98.43

150.42

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

94.6

62.9

71.2

3.0

7.2

-6.2

62.9

99.5

65.7

4.9

1.5

-8.9

71.2

65.7

105.0

1.4

12.7

-8.2

3.0

4.9

1.4

17.0

-4.6

2.6

7.2

1.5

12.7

-4.6

22.9

3.6

-6.2

-8.9

-8.2

2.6

3.6

10.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.237

6.509

6.509

6.509

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

53.6

99.3

99.3

0.0

0.0

0.0

99.3

53.6

99.3

0.0

0.0

0.0

99.3

99.3

53.6

0.0

0.0

0.0

0.0

0.0

0.0

-2.7

0.0

0.0

0.0

0.0

0.0

0.0

-2.7

0.0

0.0

0.0

0.0

0.0

0.0

-2.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.986

5.141

5.141

10.282

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

237.9

22.9

22.9

0.0

0.0

0.0

22.9

237.9

22.9

0.0

0.0

0.0

22.9

22.9

237.9

0.0

0.0

0.0

0.0

0.0

0.0

22.1

0.0

0.0

0.0

0.0

0.0

0.0

22.1

0.0

0.0

0.0

0.0

0.0

0.0

22.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.256

6.239

3.528

15.208

90.0

90.0

124.44

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

112.2

58.8

54.7

0.0

0.0

27.1

58.8

89.6

72.2

0.0

0.0

2.1

54.7

72.2

132.3

0.0

0.0

-22.6

0.0

0.0

0.0

53.7

-32.4

0.0

0.0

0.0

0.0

-32.4

28.7

0.0

27.1

2.1

-22.6

0.0

0.0

48.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.893

2.831

2.831

4.215

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

141.6

77.8

83.2

0.0

0.0

0.0

77.8

141.6

83.2

0.0

0.0

0.0

83.2

83.2

111.2

0.0

0.0

0.0

0.0

0.0

0.0

-7.3

0.0

0.0

0.0

0.0

0.0

0.0

-7.3

0.0

0.0

0.0

0.0

0.0

0.0

10.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.402

6.402

6.402

6.402

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

19.5

77.4

77.4

0.0

0.0

0.0

77.4

19.5

77.4

0.0

0.0

0.0

77.4

77.4

19.5

0.0

0.0

0.0

0.0

0.0

0.0

-4.4

0.0

0.0

0.0

0.0

0.0

0.0

-4.4

0.0

0.0

0.0

0.0

0.0

0.0

-4.4