pair-51 (Ga-Ag-2022-06-12)

Energy distribution

../../../../_images/distribution425.png

Convex hull (formation energy)

../../../../_images/convex425.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Ga

0.1667

-0.0342

icsd-105521-01-[Al5W]

0.2

-0.0389

icsd-42773-01-[IrGe4]

0.25

-0.0445

icsd-104506-10-[Ni3Sn]

0.8

-0.0826

icsd-167735-10-[Ru2B3]

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-sep425.png

Prototype structure energy

../../../../_images/icsd-pred425.png

Phonon density of states

../../../../_images/dos425.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-97006-01-[InMg2]

-2.61462

-2.61218

icsd-659856-01-[LiPt]

-2.61067

-2.61143

icsd-644708-01-[WC]

-2.61053

-2.61141

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

-2.60923

-2.60917

icsd-5258-10-[FeSi2]

-2.60884

-2.6096

icsd-626692-01-[Nickeline-NiAs]

-2.60451

-2.6016

icsd-168897-01-[LaI]

-2.60451

-2.60161

icsd-167735-01-[Ru2B3]

-2.60436

-2.60466

icsd-618702-01-[ScTe]

-2.60407

-2.6027

icsd-611618-01-[TiAs]

-2.60407

-2.60268

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

-2.60271

-2.60415

icsd-639037-01-[HgIn]

-2.60271

-2.60415

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

-2.6027

-2.60415

icsd-100654-01-[BiSe]

-2.6026

-2.60351

icsd-248490-01-[Pt2Si]

-2.60057

-2.6009

icsd-638227-01-[Fluorite-CaF2]

-2.60055

-2.60068

icsd-169457-01-[ZrH2]

-2.60054

-2.60088

icsd-107998-01-[MoNi4]

-2.59866

-2.60086

icsd-611176-10-[Fe2P]

-2.59598

-2.58407

icsd-30446-10-[Fe2B]

-2.59382

-2.59368

icsd-105521-01-[Al5W]

-2.5907

-2.59016

icsd-611457-01-[NbAs]

-2.58719

-2.58732

icsd-105636-01-[PbU]

-2.58719

-2.58732

icsd-16504-10-[CrSi2]

-2.58538

-2.58791

icsd-150584-01-[Fe13Ge3]

-2.58535

-2.57406

icsd-105191-10-[Al3Ti]

-2.58325

-2.58253

icsd-420250-10-[LiPd2Tl]

-2.58325

-2.58253

icsd-635060-01-[Fersilicite-FeSi]

-2.58313

-2.58709

icsd-629406-01-[Cu4Ti3]

-2.5826

-2.58139

icsd-103995-01-[Ga3Ti2]

-2.58166

-2.58217

icsd-609153-10-[AlPt3]

-2.58151

-2.57853

icsd-648572-10-[CuInPt2]

-2.5815

-2.57807

icsd-181127-01-[Auricupride-AuCu3]

-2.5815

-2.57807

icsd-99787-01-[Fe3Pt]

-2.58149

-2.57807

icsd-69199-10-[U3Si]

-2.58139

-2.57836

icsd-42773-01-[IrGe4]

-2.58091

-2.57711

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

-2.58084

-2.57994

icsd-104506-01-[Ni3Sn]

-2.58074

-2.57958

icsd-260285-01-[UCl3]

-2.58072

-2.5797

icsd-58471-01-[CuZr2]

-2.58065

-2.57986

icsd-652553-10-[AlCr2-MoSi2]

-2.58031

-2.5799

icsd-58607-10-[Au2Ti]

-2.58025

-2.57987

icsd-640726-01-[CuSmP2]

-2.57877

-2.58321

icsd-416747-10-[Al3Zr]

-2.57876

-2.58322

icsd-643301-10-[Au3Cd]

-2.57875

-2.58322

icsd-105191-01-[Al3Ti]

-2.57848

-2.57805

icsd-420250-01-[LiPd2Tl]

-2.57848

-2.57805

icsd-103995-10-[Ga3Ti2]

-2.57833

-2.57772

icsd-105948-01-[InNi2]

-2.57769

-2.57872

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

-2.57768

-2.57872

icsd-649037-01-[Ni3Ti]

-2.57618

-2.57719

icsd-640726-10-[CuSmP2]

-2.57542

-2.57518

icsd-643301-01-[Au3Cd]

-2.57541

-2.57518

icsd-416747-01-[Al3Zr]

-2.57541

-2.57518

icsd-108707-01-[HgMn]

-2.57534

-2.57492

icsd-59508-01-[AuCu]

-2.57534

-2.57492

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

-2.57534

-2.57492

icsd-106325-01-[BiIn]

-2.57531

-2.57451

icsd-42428-01-[Fe3Pt]

-2.57529

-2.57478

icsd-648748-01-[Pd4Se]

-2.57516

-2.5789

icsd-107998-10-[MoNi4]

-2.57516

-2.57532

icsd-649037-10-[Ni3Ti]

-2.57463

-2.57368

icsd-629406-10-[Cu4Ti3]

-2.57461

-2.574

icsd-155842-10-[Co5Fe11]

-2.5746

-2.57625

icsd-635642-10-[Hg5Mn2]

-2.57415

-2.55563

icsd-105726-01-[Pd5Ti3]

-2.57301

-2.57343

icsd-105521-10-[Al5W]

-2.57255

-2.57197

icsd-611176-01-[Fe2P]

-2.57223

-2.58203

icsd-181127-10-[Auricupride-AuCu3]

-2.5721

-2.57086

icsd-69199-01-[U3Si]

-2.5721

-2.57091

icsd-609153-01-[AlPt3]

-2.57209

-2.57082

icsd-99787-10-[Fe3Pt]

-2.57209

-2.57086

icsd-648572-01-[CuInPt2]

-2.57209

-2.57086

icsd-104506-10-[Ni3Sn]

-2.57173

-2.56768

icsd-155842-01-[Co5Fe11]

-2.57143

-2.56437

icsd-629380-10-[Al3Os2]

-2.57139

-2.57183

icsd-260285-10-[UCl3]

-2.57104

-2.56783

icsd-629380-01-[Al3Os2]

-2.57039

-2.56822

icsd-16504-01-[CrSi2]

-2.56999

-2.56763

icsd-16606-10-[Nb3Te4]

-2.56896

-2.5732

icsd-102712-01-[CoU]

-2.56828

-2.56309

icsd-639879-10-[In5In4]

-2.56662

-2.56476

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

-2.56573

-2.56574

icsd-189695-10-[CuHg2Ti]

-2.56362

-2.56359

icsd-188260-01-[Heusler-AlCu2Mn]

-2.56362

-2.56359

icsd-59586-10-[Pd5Th3]

-2.5627

-2.5673

icsd-610464-01-[PbClF/Cu2Sb]

-2.56147

-2.55707

icsd-58471-10-[CuZr2]

-2.56053

-2.56207

icsd-652553-01-[AlCr2-MoSi2]

-2.56047

-2.56206

icsd-58607-01-[Au2Ti]

-2.56038

-2.56204

icsd-185626-01-[Al3Ni2]

-2.55738

-2.55734

icsd-185626-10-[Al3Ni2]

-2.55471

-2.55644

icsd-659829-01-[Al2Li3]

-2.55407

-2.56436

icsd-639227-01-[Si2U3]

-2.55361

-2.55254

icsd-105726-10-[Pd5Ti3]

-2.5533

-2.55352

icsd-618295-01-[MoC1-x]

-2.54911

-2.54939

icsd-59586-01-[Pd5Th3]

-2.54882

-2.54707

icsd-659829-10-[Al2Li3]

-2.54834

-2.54688

icsd-650527-01-[CsCl]

-2.54828

-2.54606

icsd-150584-10-[Fe13Ge3]

-2.54659

-2.54697

icsd-97006-10-[InMg2]

-2.54601

-2.54384

icsd-189695-01-[CuHg2Ti]

-2.54417

-2.55727

icsd-188260-10-[Heusler-AlCu2Mn]

-2.54417

-2.55727

icsd-58745-10-[Fe6Ge6Mg]

-2.54267

-2.52986

icsd-635642-01-[Hg5Mn2]

-2.53994

-2.5162

icsd-42773-10-[IrGe4]

-2.53982

-2.54579

icsd-639879-01-[In5In4]

-2.53771

-2.53527

icsd-239-01-[Cu3Se2]

-2.53747

-2.5425

icsd-409859-01-[La2Sb]

-2.53695

-2.53548

icsd-55492-01-[BaPt]

-2.53564

-2.53558

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

-2.53407

-2.5324

icsd-105948-10-[InNi2]

-2.53405

-2.5324

icsd-240119-01-[AlLi]

-2.52738

-2.52653

icsd-103775-01-[NaTl]

-2.52738

-2.52689

icsd-409859-10-[La2Sb]

-2.52575

-2.52496

icsd-30446-01-[Fe2B]

-2.52562

-2.52532

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

-2.52415

-2.52399

icsd-610464-10-[PbClF/Cu2Sb]

-2.52412

-2.52545

icsd-639227-10-[Si2U3]

-2.52197

-2.52206

icsd-648748-10-[Pd4Se]

-2.51566

-2.51758

icsd-16606-01-[Nb3Te4]

-2.5102

-2.51059

icsd-239-10-[Cu3Se2]

-2.49892

-2.50034

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

-2.49879

-2.49823

icsd-106786-10-[Hg2Pt]

-2.49762

-2.49999

icsd-106786-01-[Hg2Pt]

-2.49618

-2.49506

icsd-161109-01-[CoSn]

-2.49522

-2.48605

icsd-73839-01-[Ni3S2]

-2.49097

-2.44842

icsd-635208-10-[CoGa3]

-2.48245

-2.4891

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

-2.48078

-2.48071

icsd-638227-10-[Fluorite-CaF2]

-2.47472

-2.47469

icsd-169457-10-[ZrH2]

-2.47464

-2.47475

icsd-248490-10-[Pt2Si]

-2.47461

-2.47475

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

-2.46069

-2.45877

icsd-635208-01-[CoGa3]

-2.45987

-2.44975

icsd-5258-01-[FeSi2]

-2.45535

-2.45543

icsd-246555-01-[Co2Nd]

-2.44693

-2.44665

icsd-73839-10-[Ni3S2]

-2.42889

-2.45734

icsd-58745-01-[Fe6Ge6Mg]

-2.42777

-2.40589

icsd-181788-01-[NaCl]

-2.41624

-2.41715

icsd-42472-01-[CoO]

-2.41624

-2.41725

icsd-246555-10-[Co2Nd]

-2.4159

-2.4145

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

-2.41464

-2.41438

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

-2.40636

-2.40638

icsd-424636-01-[MnGa4]

-2.40495

-2.40446

icsd-108762-01-[Hg4Pt]

-2.40495

-2.40446

icsd-639148-01-[NiHg4]

-2.40495

-2.40446

icsd-167735-10-[Ru2B3]

-2.37256

-2.37307

icsd-639148-10-[NiHg4]

-2.32366

-2.32339

icsd-108762-10-[Hg4Pt]

-2.32366

-2.32339

icsd-424636-10-[MnGa4]

-2.32365

-2.32339

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.915

6.593

6.593

6.593

90.0

90.0

90.0

DFT

18.066

6.612

6.612

6.612

90.0

90.0

90.0

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

1

2

3

4

5

6

43.1

26.7

26.7

0.0

0.0

0.0

26.7

43.1

26.7

0.0

0.0

0.0

26.7

26.7

43.1

0.0

0.0

0.0

0.0

0.0

0.0

6.2

0.0

0.0

0.0

0.0

0.0

0.0

6.2

0.0

0.0

0.0

0.0

0.0

0.0

6.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.926

4.816

4.816

5.952

90.0

90.0

120.0

DFT

18.972

4.796

4.796

5.714

90.0

90.0

120.0

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

1

2

3

4

5

6

108.6

92.9

42.4

0.0

0.0

0.0

92.9

108.6

42.4

0.0

0.0

0.0

42.4

42.4

29.9

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

7.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.663

3.011

3.011

4.499

90.0

90.0

120.0

DFT

17.562

3.017

3.017

4.456

90.0

90.0

120.0

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

1

2

3

4

5

6

81.8

55.2

69.3

0.0

0.0

0.0

55.2

81.8

69.3

0.0

0.0

0.0

69.3

69.3

160.4

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

13.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.615

6.584

7.064

4.323

94.35

79.79

84.66

DFT

18.418

6.541

6.541

4.304

90.0

90.0

90.0

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

1

2

3

4

5

6

108.8

60.1

55.2

-6.4

-1.8

-0.7

60.1

103.3

61.3

2.0

8.1

-8.8

55.2

61.3

113.6

0.2

1.0

2.9

-6.4

2.0

0.2

15.8

-1.2

-3.8

-1.8

8.1

1.0

-1.2

18.7

-0.5

-0.7

-8.8

2.9

-3.8

-0.5

18.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.532

4.056

4.056

8.527

90.0

90.0

90.0

DFT

17.488

4.067

4.067

8.46

90.0

90.0

90.0

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

1

2

3

4

5

6

93.5

98.3

81.9

0.0

0.0

0.0

98.3

93.5

81.9

0.0

0.0

0.0

81.9

81.9

106.3

0.0

0.0

0.0

0.0

0.0

0.0

30.2

0.0

0.0

0.0

0.0

0.0

0.0

30.2

0.0

0.0

0.0

0.0

0.0

0.0

50.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.654

3.281

3.281

3.281

90.0

90.0

90.0

DFT

17.974

3.3

3.3

3.3

90.0

90.0

90.0

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

1

2

3

4

5

6

12.1

33.5

33.5

0.0

0.0

0.0

33.5

12.1

33.5

0.0

0.0

0.0

33.5

33.5

12.1

0.0

0.0

0.0

0.0

0.0

0.0

14.0

0.0

0.0

0.0

0.0

0.0

0.0

14.0

0.0

0.0

0.0

0.0

0.0

0.0

14.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.792

4.22

4.22

4.22

90.0

90.0

90.0

DFT

18.502

4.199

4.199

4.199

90.0

90.0

90.0

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

1

2

3

4

5

6

39.0

24.3

24.3

0.0

0.0

0.0

24.3

39.0

24.3

0.0

0.0

0.0

24.3

24.3

39.0

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

-1.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.67

4.304

4.304

6.371

90.0

90.0

90.0

DFT

18.771

3.909

3.909

7.37

90.0

90.0

90.0

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

1

2

3

4

5

6

116.6

32.8

53.9

0.0

0.0

0.0

32.8

116.6

53.9

0.0

0.0

0.0

53.9

53.9

134.6

0.0

0.0

0.0

0.0

0.0

0.0

23.6

0.0

0.0

0.0

0.0

0.0

0.0

23.6

0.0

0.0

0.0

0.0

0.0

0.0

15.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.549

4.093

4.093

16.764

90.0

90.0

90.0

DFT

17.447

4.127

4.127

16.393

90.0

90.0

90.0

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

1

2

3

4

5

6

85.8

85.4

71.7

0.0

0.0

0.0

85.4

85.8

71.7

0.0

0.0

0.0

71.7

71.7

87.7

0.0

0.0

0.0

0.0

0.0

0.0

29.8

0.0

0.0

0.0

0.0

0.0

0.0

29.8

0.0

0.0

0.0

0.0

0.0

0.0

39.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.97

5.239

5.239

5.239

90.0

90.0

90.0

DFT

17.816

5.224

5.224

5.224

90.0

90.0

90.0

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

1

2

3

4

5

6

47.8

76.5

76.5

0.0

0.0

0.0

76.5

47.8

76.5

0.0

0.0

0.0

76.5

76.5

47.8

0.0

0.0

0.0

0.0

0.0

0.0

-0.2

0.0

0.0

0.0

0.0

0.0

0.0

-0.2

0.0

0.0

0.0

0.0

0.0

0.0

-0.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.394

8.024

8.024

2.857

90.0

90.0

90.0

DFT

18.848

8.08

8.08

2.887

90.0

90.0

90.0

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

1

2

3

4

5

6

116768.9

121200.7

66370.7

2416.0

-2090.1

-4373.4

121200.7

125657.8

66372.4

-2416.2

-2090.3

4376.0

66370.7

66372.4

90.6

0.0

0.0

0.0

2416.0

-2416.2

0.0

18.2

0.0

0.0

-2090.1

-2090.3

0.0

0.0

18.2

0.0

-4373.4

4376.0

0.0

0.0

0.0

7.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.12

7.061

9.359

5.311

63.02

95.54

83.1

DFT

18.713

5.88

10.1

5.042

90.0

90.0

90.0

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

1

2

3

4

5

6

91.5

57.3

61.5

14.1

-8.2

3.1

57.3

100.1

62.7

8.6

-10.3

-1.1

61.5

62.7

78.3

6.6

-3.4

-2.9

14.1

8.6

6.6

22.3

-2.3

-4.9

-8.2

-10.3

-3.4

-2.3

21.2

1.6

3.1

-1.1

-2.9

-4.9

1.6

8.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.775

2.929

14.135

7.728

90.0

90.0

90.0

DFT

17.732

2.963

13.688

7.87

90.0

90.0

90.0

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

1

2

3

4

5

6

95.6

42.6

60.0

0.0

0.0

0.0

42.6

99.1

62.0

0.0

0.0

0.0

60.0

62.0

128.7

0.0

0.0

0.0

0.0

0.0

0.0

13.2

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

2.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.615

3.997

3.997

6.993

90.0

90.0

90.0

DFT

18.432

4.018

4.018

6.851

90.0

90.0

90.0

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

1

2

3

4

5

6

64.1

66.7

59.4

0.0

0.0

0.0

66.7

64.1

59.4

0.0

0.0

0.0

59.4

59.4

115.7

0.0

0.0

0.0

0.0

0.0

0.0

-49.8

0.0

0.0

0.0

0.0

0.0

0.0

-49.8

0.0

0.0

0.0

0.0

0.0

0.0

35.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.477

5.858

5.858

4.705

90.0

90.0

120.0

DFT

17.402

5.839

5.839

4.715

90.0

90.0

120.0

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

1

2

3

4

5

6

91.4

54.9

39.6

0.0

0.0

0.0

54.9

91.4

39.6

0.0

0.0

0.0

39.6

39.6

102.0

0.0

0.0

0.0

0.0

0.0

0.0

21.7

0.0

0.0

0.0

0.0

0.0

0.0

21.7

0.0

0.0

0.0

0.0

0.0

0.0

18.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.495

5.853

5.853

9.435

90.0

90.0

120.0

DFT

17.418

5.831

5.831

9.463

90.0

90.0

120.0

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

1

2

3

4

5

6

99.5

68.0

55.0

0.0

0.0

0.0

68.0

99.5

55.0

0.0

0.0

0.0

55.0

55.0

120.9

0.0

0.0

0.0

0.0

0.0

0.0

22.7

0.0

0.0

0.0

0.0

0.0

0.0

22.7

0.0

0.0

0.0

0.0

0.0

0.0

15.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.348

3.002

14.619

7.525

90.0

90.0

90.0

DFT

18.459

3.045

13.815

7.898

90.0

90.0

90.0

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

1

2

3

4

5

6

54.4

40.5

40.8

0.0

0.0

0.0

40.5

75.8

55.5

0.0

0.0

0.0

40.8

55.5

57.5

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

9.0

0.0

0.0

0.0

0.0

0.0

0.0

6.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.527

6.566

6.566

4.065

90.0

90.0

90.0

DFT

17.534

6.428

6.428

4.243

90.0

90.0

90.0

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

1

2

3

4

5

6

92.4

58.2

67.5

0.0

0.0

-7.8

58.2

92.4

67.5

0.0

0.0

7.8

67.5

67.5

68.6

0.0

0.0

0.0

0.0

0.0

0.0

37.2

0.0

0.0

0.0

0.0

0.0

0.0

37.2

0.0

-7.8

7.8

0.0

0.0

0.0

32.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.216

4.969

5.503

8.958

90.0

90.0

116.83

DFT

18.94

5.706

5.706

8.06

90.0

90.0

120.0

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

1

2

3

4

5

6

48.0

37.7

40.1

0.0

0.0

0.0

37.7

55.0

27.0

0.0

0.0

0.0

40.1

27.0

52.0

0.0

0.0

0.0

0.0

0.0

0.0

2.0

0.0

0.0

0.0

0.0

0.0

0.0

18.7

0.0

0.0

0.0

0.0

0.0

0.0

2.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.903

5.018

5.018

7.39

90.0

90.0

120.0

DFT

17.794

4.989

4.989

7.431

90.0

90.0

120.0

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

1

2

3

4

5

6

103.5

66.2

51.0

0.0

0.0

0.0

66.2

103.5

51.0

0.0

0.0

0.0

51.0

51.0

107.0

0.0

0.0

0.0

0.0

0.0

0.0

-21.2

0.0

0.0

0.0

0.0

0.0

0.0

-21.2

0.0

0.0

0.0

0.0

0.0

0.0

18.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.773

6.576

6.576

6.576

90.0

90.0

90.0

DFT

17.526

6.545

6.545

6.545

90.0

90.0

90.0

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

1

2

3

4

5

6

30.2

34.8

34.8

0.0

0.0

0.0

34.8

30.2

34.8

0.0

0.0

0.0

34.8

34.8

30.2

0.0

0.0

0.0

0.0

0.0

0.0

30.4

0.0

0.0

0.0

0.0

0.0

0.0

30.4

0.0

0.0

0.0

0.0

0.0

0.0

30.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.372

4.63

4.63

5.614

90.0

90.0

120.0

DFT

17.527

4.602

4.602

5.735

90.0

90.0

120.0

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

1

2

3

4

5

6

78.3

51.8

18.8

0.0

0.0

0.0

51.8

78.3

18.8

0.0

0.0

0.0

18.8

18.8

104.1

0.0

0.0

0.0

0.0

0.0

0.0

14.0

0.0

0.0

0.0

0.0

0.0

0.0

14.0

0.0

0.0

0.0

0.0

0.0

0.0

13.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.566

4.126

4.126

4.126

90.0

90.0

90.0

DFT

17.472

4.119

4.119

4.119

90.0

90.0

90.0

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

1

2

3

4

5

6

88.7

76.1

76.1

0.0

0.0

0.0

76.1

88.7

76.1

0.0

0.0

0.0

76.1

76.1

88.7

0.0

0.0

0.0

0.0

0.0

0.0

30.6

0.0

0.0

0.0

0.0

0.0

0.0

30.6

0.0

0.0

0.0

0.0

0.0

0.0

30.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.684

2.992

2.992

9.122

90.0

90.0

120.0

DFT

17.652

3.013

3.013

8.98

90.0

90.0

120.0

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

1

2

3

4

5

6

80.6

59.4

73.1

0.0

0.0

0.0

59.4

80.6

73.1

0.0

0.0

0.0

73.1

73.1

121.1

0.0

0.0

0.0

0.0

0.0

0.0

13.7

0.0

0.0

0.0

0.0

0.0

0.0

13.7

0.0

0.0

0.0

0.0

0.0

0.0

10.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.98

4.228

4.228

8.496

90.0

90.0

90.0

DFT

18.399

4.225

4.225

8.246

90.0

90.0

90.0

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

1

2

3

4

5

6

60.4

22.9

41.1

0.0

0.0

0.0

22.9

60.4

41.1

0.0

0.0

0.0

41.1

41.1

102.7

0.0

0.0

0.0

0.0

0.0

0.0

-12.7

0.0

0.0

0.0

0.0

0.0

0.0

-12.7

0.0

0.0

0.0

0.0

0.0

0.0

-16.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.904

7.058

9.019

2.969

90.0

90.0

108.69

DFT

18.121

7.071

7.071

3.624

90.0

90.0

90.0

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

1

2

3

4

5

6

122.6

71.4

55.8

0.0

0.0

4.2

71.4

107.2

49.8

0.0

0.0

2.5

55.8

49.8

75.0

0.0

0.0

-0.5

0.0

0.0

0.0

2.5

7.4

0.0

0.0

0.0

0.0

7.4

10.8

0.0

4.2

2.5

-0.5

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

17.469

5.083

5.083

9.369

90.0

90.0

120.0

DFT

19.601

5.543

5.543

8.839

90.0

90.0

120.0

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

1

2

3

4

5

6

122.1

68.4

53.5

0.0

0.0

0.0

68.4

122.1

53.5

0.0

0.0

0.0

53.5

53.5

110.7

0.0

0.0

0.0

0.0

0.0

0.0

23.3

0.0

0.0

0.0

0.0

0.0

0.0

23.3

0.0

0.0

0.0

0.0

0.0

0.0

26.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.044

4.82

4.82

8.519

90.0

90.0

120.0

DFT

18.004

4.931

4.931

7.695

90.0

90.0

120.0

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

1

2

3

4

5

6

107.0

50.3

33.4

0.0

0.0

0.0

50.3

107.0

33.4

0.0

0.0

0.0

33.4

33.4

45.8

0.0

0.0

0.0

0.0

0.0

0.0

10.5

0.0

0.0

0.0

0.0

0.0

0.0

10.5

0.0

0.0

0.0

0.0

0.0

0.0

28.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.45

6.658

6.658

6.658

90.0

90.0

90.0

DFT

18.29

6.639

6.639

6.639

90.0

90.0

90.0

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

1

2

3

4

5

6

24.4

34.3

34.3

0.0

0.0

0.0

34.3

24.4

34.3

0.0

0.0

0.0

34.3

34.3

24.4

0.0

0.0

0.0

0.0

0.0

0.0

8.4

0.0

0.0

0.0

0.0

0.0

0.0

8.4

0.0

0.0

0.0

0.0

0.0

0.0

8.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.989

5.345

5.348

12.129

96.17

98.13

115.64

DFT

18.597

5.951

5.951

9.703

90.0

90.0

120.0

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

1

2

3

4

5

6

84.3

43.6

52.9

2.4

-2.0

-11.1

43.6

72.9

47.3

-1.9

-0.5

-5.2

52.9

47.3

84.5

0.9

-3.6

-10.2

2.4

-1.9

0.9

22.1

2.6

-0.8

-2.0

-0.5

-3.6

2.6

19.8

4.1

-11.1

-5.2

-10.2

-0.8

4.1

26.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.939

4.242

4.242

16.837

90.0

90.0

90.0

DFT

18.455

4.197

4.197

16.767

90.0

90.0

90.0

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

1

2

3

4

5

6

45.9

16.9

27.8

0.0

0.0

0.0

16.9

44.6

27.4

0.0

0.0

0.0

27.8

27.4

59.5

0.0

0.0

0.0

0.0

0.0

0.0

-28014.8

-12898.4

0.0

0.0

0.0

0.0

-12898.4

-25781.8

0.0

0.0

0.0

0.0

0.0

0.0

-11.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.785

2.936

2.936

4.127

90.0

90.0

90.0

DFT

17.752

2.926

2.926

4.147

90.0

90.0

90.0

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

1

2

3

4

5

6

82.4

47.0

53.4

0.0

0.0

0.0

47.0

82.4

53.4

0.0

0.0

0.0

53.4

53.4

77.1

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

3.4

0.0

0.0

0.0

0.0

0.0

0.0

9.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.408

6.772

6.772

6.772

90.0

90.0

90.0

DFT

18.679

6.686

6.686

6.686

90.0

90.0

90.0

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

1

2

3

4

5

6

111.2

84.5

84.5

0.0

0.0

0.0

84.5

111.2

84.5

0.0

0.0

0.0

84.5

84.5

111.2

0.0

0.0

0.0

0.0

0.0

0.0

20.4

0.0

0.0

0.0

0.0

0.0

0.0

20.4

0.0

0.0

0.0

0.0

0.0

0.0

20.4