pair-51 (Si-In-2022-06-12)

Energy distribution

../../../../_images/distribution1002.png

Convex hull (formation energy)

../../../../_images/convex1002.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Si

1.0

0.0

In

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-sep1002.png

Prototype structure energy

../../../../_images/icsd-pred1002.png

Phonon density of states

../../../../_images/dos1002.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-10-[Fe6Ge6Mg]

-3.91029

-3.84608

icsd-97006-01-[InMg2]

-3.75922

-3.75792

icsd-167735-01-[Ru2B3]

-3.74952

-3.77525

icsd-42773-01-[IrGe4]

-3.72701

-3.78518

icsd-107998-01-[MoNi4]

-3.65415

-3.65744

icsd-643301-10-[Au3Cd]

-3.60033

-3.60039

icsd-640726-01-[CuSmP2]

-3.59882

-3.6004

icsd-416747-10-[Al3Zr]

-3.59743

-3.60036

icsd-260285-10-[UCl3]

-3.59453

-3.59599

icsd-104506-10-[Ni3Sn]

-3.59428

-3.59591

icsd-150584-01-[Fe13Ge3]

-3.59111

-3.60597

icsd-105521-01-[Al5W]

-3.57729

-3.57613

icsd-648748-01-[Pd4Se]

-3.57382

-3.58324

icsd-649037-10-[Ni3Ti]

-3.55211

-3.56794

icsd-69199-10-[U3Si]

-3.50927

-3.53441

icsd-610464-01-[PbClF/Cu2Sb]

-3.49786

-3.50214

icsd-409859-01-[La2Sb]

-3.45768

-3.45994

icsd-106786-01-[Hg2Pt]

-3.45658

-3.45754

icsd-30446-10-[Fe2B]

-3.45473

-3.45682

icsd-635642-10-[Hg5Mn2]

-3.44837

-3.46167

icsd-58471-10-[CuZr2]

-3.42185

-3.42145

icsd-652553-01-[AlCr2-MoSi2]

-3.42178

-3.42149

icsd-58607-01-[Au2Ti]

-3.42175

-3.4215

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

-3.41511

-3.42549

icsd-185626-01-[Al3Ni2]

-3.40973

-3.4093

icsd-659829-10-[Al2Li3]

-3.40451

-3.38627

icsd-239-01-[Cu3Se2]

-3.39563

-3.39989

icsd-189695-10-[CuHg2Ti]

-3.38387

-3.36844

icsd-188260-01-[Heusler-AlCu2Mn]

-3.38387

-3.36844

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

-3.38269

-3.38544

icsd-246555-01-[Co2Nd]

-3.3794

-3.37922

icsd-59586-10-[Pd5Th3]

-3.37707

-3.37423

icsd-105191-10-[Al3Ti]

-3.37445

-3.37168

icsd-420250-10-[LiPd2Tl]

-3.37438

-3.37168

icsd-99787-01-[Fe3Pt]

-3.36619

-3.36407

icsd-648572-10-[CuInPt2]

-3.36616

-3.36405

icsd-181127-01-[Auricupride-AuCu3]

-3.36616

-3.36405

icsd-609153-10-[AlPt3]

-3.36612

-3.36428

icsd-155842-01-[Co5Fe11]

-3.33209

-3.35305

icsd-639879-01-[In5In4]

-3.33075

-3.3298

icsd-105726-10-[Pd5Ti3]

-3.30772

-3.31059

icsd-16504-10-[CrSi2]

-3.30244

-3.30199

icsd-629380-01-[Al3Os2]

-3.29648

-3.29623

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

-3.29548

-3.29744

icsd-611176-10-[Fe2P]

-3.28648

-3.27674

icsd-5258-10-[FeSi2]

-3.28494

-3.28549

icsd-629406-01-[Cu4Ti3]

-3.27789

-3.27393

icsd-103995-10-[Ga3Ti2]

-3.26876

-3.27238

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

-3.26146

-3.25804

icsd-635208-01-[CoGa3]

-3.23935

-3.24488

icsd-73839-01-[Ni3S2]

-3.21434

-3.2036

icsd-618295-01-[MoC1-x]

-3.21348

-3.21522

icsd-105948-10-[InNi2]

-3.19316

-3.18582

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

-3.19316

-3.18582

icsd-16606-10-[Nb3Te4]

-3.1922

-3.20527

icsd-100654-01-[BiSe]

-3.07739

-3.07659

icsd-659829-01-[Al2Li3]

-3.06658

-3.07428

icsd-169457-01-[ZrH2]

-3.05883

-3.05813

icsd-638227-01-[Fluorite-CaF2]

-3.05852

-3.05754

icsd-248490-01-[Pt2Si]

-3.05849

-3.05802

icsd-102712-01-[CoU]

-3.04238

-3.04531

icsd-639227-01-[Si2U3]

-3.03902

-3.03736

icsd-629406-10-[Cu4Ti3]

-2.99945

-2.98689

icsd-16606-01-[Nb3Te4]

-2.99426

-3.01757

icsd-635060-01-[Fersilicite-FeSi]

-2.99044

-2.99058

icsd-42472-01-[CoO]

-2.98886

-2.99027

icsd-181788-01-[NaCl]

-2.98865

-2.99026

icsd-161109-01-[CoSn]

-2.98345

-2.98167

icsd-639148-01-[NiHg4]

-2.97975

-2.97994

icsd-108762-01-[Hg4Pt]

-2.97975

-2.97994

icsd-424636-01-[MnGa4]

-2.97975

-2.97994

icsd-639879-10-[In5In4]

-2.97758

-2.97674

icsd-239-10-[Cu3Se2]

-2.9701

-2.97009

icsd-42428-01-[Fe3Pt]

-2.9532

-2.95287

icsd-59508-01-[AuCu]

-2.95254

-2.95275

icsd-108707-01-[HgMn]

-2.95254

-2.95275

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

-2.95254

-2.95275

icsd-106325-01-[BiIn]

-2.95231

-2.95373

icsd-105636-01-[PbU]

-2.94506

-2.9467

icsd-611457-01-[NbAs]

-2.94506

-2.9467

icsd-103995-01-[Ga3Ti2]

-2.94125

-2.9438

icsd-650527-01-[CsCl]

-2.9408

-2.93811

icsd-240119-01-[AlLi]

-2.93294

-2.93242

icsd-103775-01-[NaTl]

-2.93294

-2.93144

icsd-55492-01-[BaPt]

-2.92941

-2.93173

icsd-639227-10-[Si2U3]

-2.92379

-2.9196

icsd-618702-01-[ScTe]

-2.91334

-2.91084

icsd-611618-01-[TiAs]

-2.91333

-2.91085

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

-2.91302

-2.91492

icsd-639037-01-[HgIn]

-2.91302

-2.91492

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

-2.91297

-2.91491

icsd-659856-01-[LiPt]

-2.907

-2.90734

icsd-644708-01-[WC]

-2.90665

-2.90748

icsd-168897-01-[LaI]

-2.90128

-2.90429

icsd-626692-01-[Nickeline-NiAs]

-2.90122

-2.90429

icsd-185626-10-[Al3Ni2]

-2.89616

-2.92066

icsd-611176-01-[Fe2P]

-2.84689

-2.82746

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

-2.84405

-2.84459

icsd-629380-10-[Al3Os2]

-2.84283

-2.83282

icsd-30446-01-[Fe2B]

-2.83608

-2.83264

icsd-73839-10-[Ni3S2]

-2.83158

-2.83126

icsd-169457-10-[ZrH2]

-2.82262

-2.82584

icsd-638227-10-[Fluorite-CaF2]

-2.82227

-2.82578

icsd-248490-10-[Pt2Si]

-2.82226

-2.82587

icsd-105726-01-[Pd5Ti3]

-2.81218

-2.80515

icsd-59586-01-[Pd5Th3]

-2.79168

-2.78739

icsd-610464-10-[PbClF/Cu2Sb]

-2.75969

-2.76006

icsd-58607-10-[Au2Ti]

-2.75871

-2.75876

icsd-58471-01-[CuZr2]

-2.75863

-2.75875

icsd-652553-10-[AlCr2-MoSi2]

-2.75857

-2.75875

icsd-5258-01-[FeSi2]

-2.75682

-2.75314

icsd-409859-10-[La2Sb]

-2.75471

-2.76167

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

-2.749

-2.74592

icsd-105948-01-[InNi2]

-2.74899

-2.74592

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

-2.74267

-2.74245

icsd-106786-10-[Hg2Pt]

-2.72832

-2.72923

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

-2.7249

-2.722

icsd-16504-01-[CrSi2]

-2.71319

-2.7107

icsd-155842-10-[Co5Fe11]

-2.68789

-2.69153

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

-2.64726

-2.64796

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

-2.64458

-2.64446

icsd-635642-01-[Hg5Mn2]

-2.62457

-2.66703

icsd-649037-01-[Ni3Ti]

-2.61138

-2.60747

icsd-104506-01-[Ni3Sn]

-2.61129

-2.60727

icsd-260285-01-[UCl3]

-2.60831

-2.60747

icsd-648748-10-[Pd4Se]

-2.60516

-2.60883

icsd-420250-01-[LiPd2Tl]

-2.60467

-2.6056

icsd-105191-01-[Al3Ti]

-2.60449

-2.6056

icsd-609153-01-[AlPt3]

-2.60442

-2.60491

icsd-69199-01-[U3Si]

-2.60442

-2.60475

icsd-99787-10-[Fe3Pt]

-2.60441

-2.60501

icsd-648572-01-[CuInPt2]

-2.60441

-2.60501

icsd-181127-10-[Auricupride-AuCu3]

-2.60441

-2.60501

icsd-107998-10-[MoNi4]

-2.59879

-2.60049

icsd-640726-10-[CuSmP2]

-2.59605

-2.61415

icsd-643301-01-[Au3Cd]

-2.59564

-2.61417

icsd-416747-01-[Al3Zr]

-2.59562

-2.61417

icsd-635208-10-[CoGa3]

-2.58714

-2.61527

icsd-42773-10-[IrGe4]

-2.58355

-2.59349

icsd-188260-10-[Heusler-AlCu2Mn]

-2.57831

-2.60299

icsd-189695-01-[CuHg2Ti]

-2.57831

-2.60299

icsd-167735-10-[Ru2B3]

-2.55278

-2.5544

icsd-150584-10-[Fe13Ge3]

-2.52727

-2.53074

icsd-105521-10-[Al5W]

-2.504

-2.5021

icsd-424636-10-[MnGa4]

-2.49696

-2.49398

icsd-108762-10-[Hg4Pt]

-2.49695

-2.49398

icsd-639148-10-[NiHg4]

-2.49695

-2.49398

icsd-97006-10-[InMg2]

-2.49118

-2.48654

icsd-246555-10-[Co2Nd]

-2.4107

-2.40956

icsd-58745-01-[Fe6Ge6Mg]

-2.24912

-2.27475

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.113

7.073

7.073

7.073

90.0

90.0

90.0

DFT

22.207

7.083

7.083

7.083

90.0

90.0

90.0

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

1

2

3

4

5

6

39.8

44.5

44.5

-26897.8

0.0

31049.1

44.5

39.8

44.5

-28122.6

0.0

29609.5

44.5

44.5

39.8

-27964.7

0.0

-20057.0

-26897.8

-28122.6

-27964.7

-34683.8

-27071.5

-973.2

0.0

0.0

0.0

-27071.5

6125.4

-21438.9

31049.1

29609.5

-20057.0

-973.2

-21438.9

-22847.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.747

5.234

6.64

4.837

90.0

90.0

122.06

DFT

19.679

4.927

4.927

5.616

90.0

90.0

120.0

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

1

2

3

4

5

6

152.3

102.5

106.0

0.0

0.0

-27.8

102.5

143.6

93.5

0.0

0.0

-37.3

106.0

93.5

267.2

0.0

0.0

-21.7

0.0

0.0

0.0

65.4

-8.8

0.0

0.0

0.0

0.0

-8.8

90.6

0.0

-27.8

-37.3

-21.7

0.0

0.0

61.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.869

3.005

3.005

6.103

90.0

90.0

120.0

DFT

21.457

3.134

3.134

5.045

90.0

90.0

120.0

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

1

2

3

4

5

6

164.3

136.1

25.4

0.0

0.0

0.0

136.1

164.3

25.4

0.0

0.0

0.0

25.4

25.4

128.4

0.0

0.0

0.0

0.0

0.0

0.0

33.8

0.0

0.0

0.0

0.0

0.0

0.0

33.8

0.0

0.0

0.0

0.0

0.0

0.0

14.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.487

7.537

7.537

3.255

90.0

90.0

90.0

DFT

17.735

7.324

7.324

3.306

90.0

90.0

90.0

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

1

2

3

4

5

6

-8634.8

8838.3

95.1

0.0

-15719.9

73832.2

8838.3

-8634.7

95.1

0.0

-11349.2

-73832.2

95.1

95.1

99.8

0.0

131.9

0.0

0.0

0.0

0.0

4.0

0.0

0.0

-15719.9

-11349.2

131.9

0.0

6.3

34728.6

73832.2

-73832.2

0.0

0.0

34728.6

-138923.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.931

4.625

4.625

8.951

90.0

90.0

90.0

DFT

24.44

4.442

4.442

9.91

90.0

90.0

90.0

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

1

2

3

4

5

6

54.9

55.7

47.0

0.0

0.0

0.0

55.7

54.9

47.0

0.0

0.0

0.0

47.0

47.0

96.7

0.0

0.0

0.0

0.0

0.0

0.0

22.6

0.0

0.0

0.0

0.0

0.0

0.0

22.6

0.0

0.0

0.0

0.0

0.0

0.0

28.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.724

3.516

3.516

3.516

90.0

90.0

90.0

DFT

21.527

3.505

3.505

3.505

90.0

90.0

90.0

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

1

2

3

4

5

6

45.6

60.0

60.0

0.0

0.0

0.0

60.0

45.6

60.0

0.0

0.0

0.0

60.0

60.0

45.6

0.0

0.0

0.0

0.0

0.0

0.0

34.4

0.0

0.0

0.0

0.0

0.0

0.0

34.4

0.0

0.0

0.0

0.0

0.0

0.0

34.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.692

4.213

4.213

4.213

90.0

90.0

90.0

DFT

18.377

4.189

4.189

4.189

90.0

90.0

90.0

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

1

2

3

4

5

6

26.5

49.7

49.7

0.0

0.0

0.0

49.7

26.5

49.7

0.0

0.0

0.0

49.7

49.7

26.5

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

26.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.12

3.945

3.945

6.985

90.0

90.0

90.0

DFT

20.676

3.934

3.934

8.016

90.0

90.0

90.0

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

1

2

3

4

5

6

218.5

49.5

75.2

0.0

0.0

0.0

49.5

218.5

75.2

0.0

0.0

0.0

75.2

75.2

311.3

0.0

0.0

0.0

0.0

0.0

0.0

30.7

0.0

0.0

0.0

0.0

0.0

0.0

30.7

0.0

0.0

0.0

0.0

0.0

0.0

21.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.682

4.827

4.827

17.633

90.0

90.0

90.0

DFT

24.98

4.411

4.411

20.546

90.0

90.0

90.0

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

1

2

3

4

5

6

36.2

22.6

33.2

0.0

0.0

0.0

22.6

36.2

33.2

0.0

0.0

0.0

33.2

33.2

68.1

0.0

0.0

0.0

0.0

0.0

0.0

16.8

0.0

0.0

0.0

0.0

0.0

0.0

16.8

0.0

0.0

0.0

0.0

0.0

0.0

11.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.762

5.75

5.75

5.75

90.0

90.0

90.0

DFT

22.667

5.66

5.66

5.66

90.0

90.0

90.0

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

1

2

3

4

5

6

-33485.5

16809.8

16809.8

0.0

0.0

0.0

16809.8

-33485.4

16809.8

0.0

0.0

0.0

16809.8

16809.8

-33485.4

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

-0.2

0.0

0.0

0.0

0.0

0.0

0.0

-0.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.102

7.941

7.941

3.188

90.0

90.0

90.0

DFT

22.471

7.668

7.668

3.822

90.0

90.0

90.0

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

1

2

3

4

5

6

94.8

111.9

73.1

0.0

0.0

0.0

111.9

94.8

73.1

0.0

0.0

0.0

73.1

73.1

74.4

0.0

0.0

0.0

0.0

0.0

0.0

25.2

0.0

0.0

0.0

0.0

0.0

0.0

25.2

0.0

0.0

0.0

0.0

0.0

0.0

47.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.706

7.311

12.663

3.406

90.0

90.0

90.0

DFT

19.907

7.251

12.511

3.511

90.0

90.0

90.0

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

1

2

3

4

5

6

114.5

74.7

80.3

0.0

0.0

42805.3

74.7

114.5

80.3

0.0

0.0

42805.3

80.3

80.3

123.2

0.0

0.0

45818.8

0.0

0.0

0.0

45.3

0.0

0.0

0.0

0.0

0.0

0.0

45.3

0.0

42805.3

42805.3

45818.8

0.0

0.0

20.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.2

3.776

12.94

8.92

91.69

90.0

90.0

DFT

25.143

3.474

12.47

10.448

90.0

90.0

90.0

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

1

2

3

4

5

6

81.5

33.0

43.6

0.7

0.0

0.0

33.0

58.4

38.9

0.9

0.0

0.0

43.6

38.9

65.5

6.1

0.0

0.0

0.7

0.9

6.1

12.6

0.0

0.0

0.0

0.0

0.0

0.0

11.9

-2.8

0.0

0.0

0.0

0.0

-2.8

6.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.257

4.711

4.711

7.097

90.0

90.0

90.0

DFT

24.715

4.394

4.394

7.679

90.0

90.0

90.0

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

1

2

3

4

5

6

82.3

41.8

61.2

0.0

0.0

0.0

41.8

82.3

61.2

0.0

0.0

0.0

61.2

61.2

104.9

0.0

0.0

0.0

0.0

0.0

0.0

7.2

0.0

0.0

0.0

0.0

0.0

0.0

7.2

0.0

0.0

0.0

0.0

0.0

0.0

3.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.976

7.031

12.072

5.089

90.0

90.0

87.81

DFT

24.492

6.555

11.326

5.279

90.0

90.0

90.0

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

1

2

3

4

5

6

58.2

37.0

51.5

0.0

0.0

-2.6

37.0

74.1

53.4

0.0

0.0

1.1

51.5

53.4

88.5

0.0

0.0

9.0

0.0

0.0

0.0

19.6

1.2

0.0

0.0

0.0

0.0

1.2

14.3

0.0

-2.6

1.1

9.0

0.0

0.0

12.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.707

7.116

7.06

9.865

88.26

93.46

120.26

DFT

24.443

6.509

6.509

10.66

90.0

90.0

120.0

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

1

2

3

4

5

6

50.1

24.9

26.4

0.0

-1.2

0.0

24.9

61.5

24.9

0.0

-2.2

0.0

26.4

24.9

40.2

0.0

-3.6

0.0

0.0

0.0

0.0

9.4

0.0

-5.2

-1.2

-2.2

-3.6

0.0

13.4

0.0

0.0

0.0

0.0

-5.2

0.0

13.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.806

3.841

22.561

5.415

98.11

90.0

90.0

DFT

20.882

3.055

17.259

7.129

90.0

90.0

90.0

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

1

2

3

4

5

6

63.1

9.9

4.2

0.1

0.0

0.0

9.9

87.5

71.8

-11.2

0.0

0.0

4.2

71.8

93.4

-23.3

0.0

0.0

0.1

-11.2

-23.3

36.5

0.0

0.0

0.0

0.0

0.0

0.0

-11.5

-20.5

0.0

0.0

0.0

0.0

-20.5

-11.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.711

9.055

9.055

3.258

90.0

90.0

90.0

DFT

25.477

8.742

8.742

3.334

90.0

90.0

90.0

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

1

2

3

4

5

6

52.4

20.3

24.2

0.0

0.0

4.2

20.3

52.4

24.2

0.0

0.0

-4.2

24.2

24.2

67.5

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

4.2

-4.2

0.0

0.0

0.0

5.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.989

5.071

5.071

12.925

90.0

90.0

120.0

DFT

18.922

5.509

5.509

8.639

90.0

90.0

120.0

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

1

2

3

4

5

6

127.7

76.5

41.2

0.0

0.0

0.0

76.5

127.7

41.2

0.0

0.0

0.0

41.2

41.2

56.0

0.0

0.0

0.0

0.0

0.0

0.0

10.7

0.0

0.0

0.0

0.0

0.0

0.0

10.7

0.0

0.0

0.0

0.0

0.0

0.0

25.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.355

6.773

6.697

8.736

90.0

90.0

143.22

DFT

23.571

5.492

5.492

8.121

90.0

90.0

120.0

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

1

2

3

4

5

6

38.0

24.8

32.5

0.0

0.0

-1.4

24.8

42.5

37.6

0.0

0.0

-6.3

32.5

37.6

80.1

0.0

0.0

1.9

0.0

0.0

0.0

9.1

0.1

0.0

0.0

0.0

0.0

0.1

6.0

0.0

-1.4

-6.3

1.9

0.0

0.0

13.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.569

7.225

7.225

7.225

90.0

90.0

90.0

DFT

24.666

7.335

7.335

7.335

90.0

90.0

90.0

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

1

2

3

4

5

6

44.1

54.1

54.1

0.0

0.0

0.0

54.1

44.1

54.1

0.0

0.0

0.0

54.1

54.1

44.1

0.0

0.0

0.0

0.0

0.0

0.0

17.8

0.0

0.0

0.0

0.0

0.0

0.0

17.8

0.0

0.0

0.0

0.0

0.0

0.0

17.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.268

4.911

4.911

7.546

90.0

90.0

120.0

DFT

23.427

5.103

5.103

6.233

90.0

90.0

120.0

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

1

2

3

4

5

6

74.5

65.9

55.3

0.0

0.0

0.0

65.9

74.5

55.3

0.0

0.0

0.0

55.3

55.3

85.1

0.0

0.0

0.0

0.0

0.0

0.0

5.3

0.0

0.0

0.0

0.0

0.0

0.0

5.3

0.0

0.0

0.0

0.0

0.0

0.0

4.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.856

4.869

4.869

4.869

90.0

90.0

90.0

DFT

24.46

4.608

4.608

4.608

90.0

90.0

90.0

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

1

2

3

4

5

6

71.4

24.4

24.4

0.0

0.0

0.0

24.4

71.4

24.4

0.0

0.0

0.0

24.4

24.4

71.4

0.0

0.0

0.0

0.0

0.0

0.0

11.1

0.0

0.0

0.0

0.0

0.0

0.0

11.1

0.0

0.0

0.0

0.0

0.0

0.0

11.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.471

4.207

2.811

7.705

90.0

90.0

109.52

DFT

21.592

3.188

3.188

9.81

90.0

90.0

120.0

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

1

2

3

4

5

6

176.1

81.1

123.4

0.0

0.0

22.6

81.1

171.9

66.7

0.0

0.0

-20.9

123.4

66.7

143.9

0.0

0.0

23.0

0.0

0.0

0.0

22.7

17.5

0.0

0.0

0.0

0.0

17.5

66.0

0.0

22.6

-20.9

23.0

0.0

0.0

37.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.296

3.86

3.86

9.823

90.0

90.0

90.0

DFT

18.466

3.974

3.974

9.356

90.0

90.0

90.0

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

1

2

3

4

5

6

103.2

116.4

120.2

0.0

0.0

0.0

116.4

103.2

120.2

0.0

0.0

0.0

120.2

120.2

232.7

0.0

0.0

0.0

0.0

0.0

0.0

15.9

0.0

0.0

0.0

0.0

0.0

0.0

15.9

0.0

0.0

0.0

0.0

0.0

0.0

52.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.329

7.676

7.676

3.96

90.0

90.0

90.0

DFT

23.424

7.351

7.351

4.335

90.0

90.0

90.0

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

1

2

3

4

5

6

45.7

36.1

16.3

0.0

0.0

0.0

36.1

45.7

16.3

0.0

0.0

0.0

16.3

16.3

46.7

0.0

0.0

0.0

0.0

0.0

0.0

7.9

0.0

0.0

0.0

0.0

0.0

0.0

7.9

0.0

0.0

0.0

0.0

0.0

0.0

15.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.289

7.174

7.174

6.808

90.0

90.0

120.0

DFT

28.764

8.18

8.18

5.957

90.0

90.0

120.0

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

1

2

3

4

5

6

72.2

40.0

26.6

0.0

0.0

0.0

40.0

72.2

26.6

0.0

0.0

0.0

26.6

26.6

60.8

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

16.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.477

6.812

6.812

6.419

90.0

90.0

137.22

DFT

22.188

6.118

6.118

6.16

90.0

90.0

120.0

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

1

2

3

4

5

6

83.7

37.8

33.8

0.0

0.0

-3.1

37.8

68.8

20.4

0.0

0.0

-3.7

33.8

20.4

68.7

0.0

0.0

-6.2

0.0

0.0

0.0

6.6

11.3

0.0

0.0

0.0

0.0

11.3

-17.9

0.0

-3.1

-3.7

-6.2

0.0

0.0

19.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.373

6.993

6.993

6.993

90.0

90.0

90.0

DFT

21.493

7.006

7.006

7.006

90.0

90.0

90.0

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

1

2

3

4

5

6

59.5

88.4

88.4

-17369.1

104100.7

100565.7

88.4

59.5

88.4

-35508.3

119776.5

102924.9

88.4

88.4

59.5

-38226.7

83901.6

134342.6

-17369.1

-35508.3

-38226.7

40966.6

-15023.4

52115.2

104100.7

119776.5

83901.6

-15023.4

13543.1

21037.2

100565.7

102924.9

134342.6

52115.2

21037.2

35234.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.819

7.276

7.276

6.916

90.0

90.0

120.0

DFT

19.859

7.264

7.264

6.954

90.0

90.0

120.0

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

1

2

3

4

5

6

79.5

17.1

60.0

0.0

0.0

0.0

17.1

79.5

60.0

0.0

0.0

0.0

60.0

60.0

124.1

0.0

0.0

0.0

0.0

0.0

0.0

57.0

0.0

0.0

0.0

0.0

0.0

0.0

57.0

0.0

0.0

0.0

0.0

0.0

0.0

31.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.322

3.499

3.499

25.254

90.0

90.0

90.0

DFT

19.198

3.556

3.556

24.294

90.0

90.0

90.0

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

1

2

3

4

5

6

92.0

84.2

41.6

0.0

0.0

0.0

84.2

92.0

41.6

0.0

0.0

0.0

41.6

41.6

159.3

0.0

0.0

0.0

0.0

0.0

0.0

21.3

0.0

0.0

0.0

0.0

0.0

0.0

21.3

0.0

0.0

0.0

0.0

0.0

0.0

67.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.193

3.013

3.013

4.67

90.0

90.0

90.0

DFT

21.421

3.312

3.312

3.906

90.0

90.0

90.0

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

1

2

3

4

5

6

158.4

64.4

92.2

0.0

0.0

0.0

64.4

158.4

92.2

0.0

0.0

0.0

92.2

92.2

172.5

0.0

0.0

0.0

0.0

0.0

0.0

20.7

0.0

0.0

0.0

0.0

0.0

0.0

20.7

0.0

0.0

0.0

0.0

0.0

0.0

12.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.821

6.703

6.703

6.703

90.0

90.0

90.0

DFT

18.3

6.64

6.64

6.64

90.0

90.0

90.0

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

1

2

3

4

5

6

98.0

98.9

98.9

0.0

0.0

0.0

98.9

98.0

98.9

0.0

0.0

0.0

98.9

98.9

98.0

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

0.0

0.0

0.0

0.0

0.0

14.4