gtinv-411 (Si-Ga-2022-06-12)

Energy distribution

../../../../_images/distribution930.png

Convex hull (formation energy)

../../../../_images/convex930.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Si

1.0

0.0

Ga

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-sep930.png

Prototype structure energy

../../../../_images/icsd-pred930.png

Phonon density of states

../../../../_images/dos930.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-10-[Fe6Ge6Mg]

-3.87829

-3.87646

icsd-97006-01-[InMg2]

-3.84739

-3.84802

icsd-42773-01-[IrGe4]

-3.78984

-3.78837

icsd-107998-01-[MoNi4]

-3.77453

-3.77827

icsd-648748-01-[Pd4Se]

-3.73938

-3.73943

icsd-105521-01-[Al5W]

-3.73798

-3.73797

icsd-150584-01-[Fe13Ge3]

-3.72477

-3.7209

icsd-167735-01-[Ru2B3]

-3.72423

-3.72501

icsd-643301-10-[Au3Cd]

-3.69787

-3.69766

icsd-640726-01-[CuSmP2]

-3.69776

-3.69764

icsd-416747-10-[Al3Zr]

-3.69771

-3.69764

icsd-69199-10-[U3Si]

-3.66133

-3.67644

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

-3.62816

-3.62888

icsd-104506-10-[Ni3Sn]

-3.62226

-3.62343

icsd-260285-10-[UCl3]

-3.62208

-3.62343

icsd-649037-10-[Ni3Ti]

-3.60967

-3.6092

icsd-105191-10-[Al3Ti]

-3.60762

-3.6074

icsd-420250-10-[LiPd2Tl]

-3.60762

-3.6074

icsd-609153-10-[AlPt3]

-3.59972

-3.60076

icsd-99787-01-[Fe3Pt]

-3.59878

-3.59849

icsd-648572-10-[CuInPt2]

-3.59872

-3.59841

icsd-181127-01-[Auricupride-AuCu3]

-3.59872

-3.59841

icsd-189695-10-[CuHg2Ti]

-3.59839

-3.59967

icsd-188260-01-[Heusler-AlCu2Mn]

-3.59839

-3.59967

icsd-610464-01-[PbClF/Cu2Sb]

-3.58576

-3.58674

icsd-106786-01-[Hg2Pt]

-3.58019

-3.58017

icsd-5258-10-[FeSi2]

-3.57706

-3.5775

icsd-409859-01-[La2Sb]

-3.57678

-3.57644

icsd-635642-10-[Hg5Mn2]

-3.56369

-3.55846

icsd-239-01-[Cu3Se2]

-3.56337

-3.56416

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

-3.55536

-3.55483

icsd-155842-01-[Co5Fe11]

-3.53807

-3.54079

icsd-246555-01-[Co2Nd]

-3.53715

-3.53785

icsd-659829-10-[Al2Li3]

-3.53121

-3.53086

icsd-611176-10-[Fe2P]

-3.5261

-3.53052

icsd-58471-10-[CuZr2]

-3.52603

-3.52657

icsd-652553-01-[AlCr2-MoSi2]

-3.52603

-3.52659

icsd-58607-01-[Au2Ti]

-3.52602

-3.52653

icsd-30446-10-[Fe2B]

-3.52262

-3.5242

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

-3.51798

-3.51789

icsd-185626-01-[Al3Ni2]

-3.51297

-3.51368

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

-3.50186

-3.50275

icsd-59586-10-[Pd5Th3]

-3.4948

-3.49365

icsd-16504-10-[CrSi2]

-3.48478

-3.48535

icsd-73839-01-[Ni3S2]

-3.46203

-3.45961

icsd-105726-10-[Pd5Ti3]

-3.46114

-3.46221

icsd-105948-10-[InNi2]

-3.45006

-3.44944

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

-3.45006

-3.44944

icsd-103995-10-[Ga3Ti2]

-3.44689

-3.44807

icsd-635208-01-[CoGa3]

-3.43694

-3.43776

icsd-629380-01-[Al3Os2]

-3.41821

-3.41964

icsd-424636-01-[MnGa4]

-3.40912

-3.4089

icsd-639148-01-[NiHg4]

-3.40912

-3.4089

icsd-108762-01-[Hg4Pt]

-3.40912

-3.4089

icsd-629406-01-[Cu4Ti3]

-3.38542

-3.38551

icsd-169457-01-[ZrH2]

-3.37033

-3.36998

icsd-248490-01-[Pt2Si]

-3.37026

-3.37012

icsd-638227-01-[Fluorite-CaF2]

-3.37026

-3.36998

icsd-16606-10-[Nb3Te4]

-3.3683

-3.37171

icsd-639879-01-[In5In4]

-3.35903

-3.35891

icsd-102712-01-[CoU]

-3.33245

-3.33355

icsd-639227-01-[Si2U3]

-3.31243

-3.31344

icsd-639879-10-[In5In4]

-3.27486

-3.27362

icsd-635060-01-[Fersilicite-FeSi]

-3.27469

-3.27393

icsd-42472-01-[CoO]

-3.27059

-3.27082

icsd-181788-01-[NaCl]

-3.27057

-3.27061

icsd-618295-01-[MoC1-x]

-3.26391

-3.26385

icsd-106325-01-[BiIn]

-3.2624

-3.26172

icsd-42428-01-[Fe3Pt]

-3.26236

-3.26084

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

-3.26236

-3.26137

icsd-59508-01-[AuCu]

-3.26236

-3.26138

icsd-108707-01-[HgMn]

-3.26234

-3.26138

icsd-100654-01-[BiSe]

-3.25984

-3.25957

icsd-644708-01-[WC]

-3.25106

-3.25164

icsd-659856-01-[LiPt]

-3.25104

-3.25162

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

-3.24858

-3.24865

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

-3.24858

-3.24865

icsd-639037-01-[HgIn]

-3.24858

-3.24865

icsd-611618-01-[TiAs]

-3.24661

-3.24724

icsd-618702-01-[ScTe]

-3.24656

-3.24724

icsd-168897-01-[LaI]

-3.24525

-3.24345

icsd-626692-01-[Nickeline-NiAs]

-3.24525

-3.24345

icsd-103775-01-[NaTl]

-3.24445

-3.24417

icsd-240119-01-[AlLi]

-3.24445

-3.24446

icsd-55492-01-[BaPt]

-3.24434

-3.24431

icsd-105636-01-[PbU]

-3.24193

-3.24225

icsd-611457-01-[NbAs]

-3.24193

-3.24225

icsd-650527-01-[CsCl]

-3.21587

-3.21456

icsd-161109-01-[CoSn]

-3.21461

-3.21256

icsd-185626-10-[Al3Ni2]

-3.21402

-3.2141

icsd-659829-01-[Al2Li3]

-3.20293

-3.20356

icsd-629406-10-[Cu4Ti3]

-3.18941

-3.19106

icsd-16606-01-[Nb3Te4]

-3.17361

-3.17731

icsd-639227-10-[Si2U3]

-3.15398

-3.15399

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

-3.14319

-3.14416

icsd-239-10-[Cu3Se2]

-3.14017

-3.14118

icsd-103995-01-[Ga3Ti2]

-3.13628

-3.13506

icsd-73839-10-[Ni3S2]

-3.12815

-3.12724

icsd-638227-10-[Fluorite-CaF2]

-3.124

-3.12434

icsd-248490-10-[Pt2Si]

-3.124

-3.12435

icsd-169457-10-[ZrH2]

-3.12399

-3.12424

icsd-629380-10-[Al3Os2]

-3.12149

-3.12095

icsd-105726-01-[Pd5Ti3]

-3.09076

-3.09083

icsd-30446-01-[Fe2B]

-3.08582

-3.08503

icsd-59586-01-[Pd5Th3]

-3.08426

-3.08426

icsd-409859-10-[La2Sb]

-3.07216

-3.07208

icsd-611176-01-[Fe2P]

-3.06749

-3.06962

icsd-610464-10-[PbClF/Cu2Sb]

-3.06128

-3.06052

icsd-106786-10-[Hg2Pt]

-3.04587

-3.04565

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

-3.04493

-3.0447

icsd-105948-01-[InNi2]

-3.04493

-3.0447

icsd-5258-01-[FeSi2]

-3.0411

-3.04142

icsd-58471-01-[CuZr2]

-3.04008

-3.04001

icsd-652553-10-[AlCr2-MoSi2]

-3.04003

-3.04002

icsd-58607-10-[Au2Ti]

-3.03991

-3.03997

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

-3.03968

-3.03972

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

-3.03842

-3.03798

icsd-16504-01-[CrSi2]

-3.02274

-3.0223

icsd-155842-10-[Co5Fe11]

-3.01031

-3.00622

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

-3.00412

-3.00392

icsd-635642-01-[Hg5Mn2]

-2.96952

-2.96817

icsd-640726-10-[CuSmP2]

-2.92676

-2.92842

icsd-643301-01-[Au3Cd]

-2.92673

-2.92836

icsd-416747-01-[Al3Zr]

-2.92673

-2.92841

icsd-420250-01-[LiPd2Tl]

-2.925

-2.92489

icsd-105191-01-[Al3Ti]

-2.92497

-2.92489

icsd-69199-01-[U3Si]

-2.9221

-2.92208

icsd-609153-01-[AlPt3]

-2.9221

-2.92171

icsd-181127-10-[Auricupride-AuCu3]

-2.9221

-2.92269

icsd-99787-10-[Fe3Pt]

-2.9221

-2.92269

icsd-648572-01-[CuInPt2]

-2.9221

-2.92269

icsd-260285-01-[UCl3]

-2.91944

-2.91909

icsd-104506-01-[Ni3Sn]

-2.91943

-2.91926

icsd-649037-01-[Ni3Ti]

-2.91893

-2.92175

icsd-189695-01-[CuHg2Ti]

-2.9118

-2.91219

icsd-188260-10-[Heusler-AlCu2Mn]

-2.9118

-2.91219

icsd-635208-10-[CoGa3]

-2.90254

-2.90287

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

-2.8949

-2.89546

icsd-648748-10-[Pd4Se]

-2.89174

-2.89214

icsd-42773-10-[IrGe4]

-2.89173

-2.89563

icsd-167735-10-[Ru2B3]

-2.8714

-2.86971

icsd-107998-10-[MoNi4]

-2.86852

-2.86859

icsd-150584-10-[Fe13Ge3]

-2.83163

-2.83634

icsd-246555-10-[Co2Nd]

-2.82784

-2.82968

icsd-105521-10-[Al5W]

-2.8162

-2.81681

icsd-639148-10-[NiHg4]

-2.75408

-2.75398

icsd-108762-10-[Hg4Pt]

-2.75408

-2.75398

icsd-424636-10-[MnGa4]

-2.75408

-2.75398

icsd-58745-01-[Fe6Ge6Mg]

-2.61108

-2.61325

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.779

6.577

6.577

6.577

90.0

90.0

90.0

DFT

17.654

6.561

6.561

6.561

90.0

90.0

90.0

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

1

2

3

4

5

6

62.7

51.7

51.7

0.0

0.0

0.0

51.7

62.7

51.7

0.0

0.0

0.0

51.7

51.7

62.7

0.0

0.0

0.0

0.0

0.0

0.0

-63808.3

31907.9

0.0

0.0

0.0

0.0

31907.9

-63808.3

-63815.2

0.0

0.0

0.0

0.0

-63815.2

-63808.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.9

5.767

5.767

5.209

90.0

90.0

144.17

DFT

16.416

4.617

4.617

5.336

90.0

90.0

120.0

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

1

2

3

4

5

6

139.1

67.1

15.1

0.0

0.0

25.2

67.1

131.0

16.8

0.0

0.0

-28.1

15.1

16.8

163.6

0.0

0.0

0.6

0.0

0.0

0.0

21.0

0.8

0.0

0.0

0.0

0.0

0.8

19.0

0.0

25.2

-28.1

0.6

0.0

0.0

51.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.179

2.61

3.691

5.337

90.0

90.0

135.0

DFT

16.706

2.808

2.808

4.893

90.0

90.0

120.0

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

1

2

3

4

5

6

144.7

22.7

10.6

0.0

0.0

0.0

22.7

144.7

10.6

0.0

0.0

0.0

10.6

10.6

165.1

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

16.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.057

7.123

7.123

3.165

90.0

90.0

90.0

DFT

15.919

7.003

7.003

3.246

90.0

90.0

90.0

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

1

2

3

4

5

6

97.6

59.5

62.7

0.0

0.0

-5.0

59.5

97.6

62.7

0.0

0.0

5.0

62.7

62.7

86.6

0.0

0.0

0.0

0.0

0.0

0.0

25.3

0.0

0.0

0.0

0.0

0.0

0.0

25.3

0.0

-5.0

5.0

0.0

0.0

0.0

11.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.98

3.985

3.985

9.058

90.0

90.0

90.0

DFT

18.02

3.924

3.924

9.362

90.0

90.0

90.0

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

1

2

3

4

5

6

65.4

64.8

61.1

0.0

0.0

0.0

64.8

65.4

61.1

0.0

0.0

0.0

61.1

61.1

72.0

0.0

0.0

0.0

0.0

0.0

0.0

6.5

0.0

0.0

0.0

0.0

0.0

0.0

6.5

0.0

0.0

0.0

0.0

0.0

0.0

21.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.278

3.257

3.257

3.257

90.0

90.0

90.0

DFT

17.101

3.246

3.246

3.246

90.0

90.0

90.0

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

1

2

3

4

5

6

32.8

68.0

68.0

0.0

0.0

0.0

68.0

32.8

68.0

0.0

0.0

0.0

68.0

68.0

32.8

0.0

0.0

0.0

0.0

0.0

0.0

15.3

0.0

0.0

0.0

0.0

0.0

0.0

15.3

0.0

0.0

0.0

0.0

0.0

0.0

15.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.805

3.984

3.984

3.984

90.0

90.0

90.0

DFT

15.743

3.978

3.978

3.978

90.0

90.0

90.0

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

1

2

3

4

5

6

65.9

86.0

86.0

0.0

0.0

0.0

86.0

65.9

86.0

0.0

0.0

0.0

86.0

86.0

65.9

0.0

0.0

0.0

0.0

0.0

0.0

12.4

0.0

0.0

0.0

0.0

0.0

0.0

12.4

0.0

0.0

0.0

0.0

0.0

0.0

12.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.373

3.781

3.781

7.29

90.0

90.0

90.0

DFT

17.446

3.783

3.783

7.314

90.0

90.0

90.0

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

1

2

3

4

5

6

63.2

41.2

38.9

0.0

0.0

0.0

41.2

63.2

38.9

0.0

0.0

0.0

38.9

38.9

87.2

0.0

0.0

0.0

0.0

0.0

0.0

156234.0

0.0

0.0

0.0

0.0

0.0

0.0

156234.0

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

18.249

4.002

4.002

18.231

90.0

90.0

90.0

DFT

18.206

3.92

3.92

18.96

90.0

90.0

90.0

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

1

2

3

4

5

6

59.5

45.3

45.3

0.0

0.0

0.0

45.3

59.5

45.3

0.0

0.0

0.0

45.3

45.3

52.7

0.0

0.0

0.0

0.0

0.0

0.0

11.0

0.0

0.0

0.0

0.0

0.0

0.0

11.0

0.0

0.0

0.0

0.0

0.0

0.0

21.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.174

6.558

4.487

4.941

90.0

90.0

90.0

DFT

17.882

5.23

5.23

5.23

90.0

90.0

90.0

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

1

2

3

4

5

6

63.5

43.7

53.9

0.0

0.0

0.0

43.7

85.5

72.6

0.0

0.0

0.0

53.9

72.6

151.6

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

23.8

0.0

0.0

0.0

0.0

0.0

0.0

43.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.833

5.516

11.104

2.748

90.0

90.0

90.0

DFT

17.251

7.686

7.686

2.92

90.0

90.0

90.0

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

1

2

3

4

5

6

115.5

66.1

62.5

0.0

0.0

0.0

66.1

96.2

61.5

0.0

0.0

0.0

62.5

61.5

101.0

0.0

0.0

0.0

0.0

0.0

0.0

-14.9

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

17.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.552

7.168

7.539

4.9

90.0

90.0

90.0

DFT

15.683

5.611

9.654

4.633

90.0

90.0

90.0

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

1

2

3

4

5

6

138.9

-49376.8

-49401.9

0.0

0.0

-0.6

-49376.8

73546.3

112364.9

0.0

0.0

-81850.9

-49401.9

112364.9

151322.6

0.0

0.0

-81844.7

0.0

0.0

0.0

18.5

-18.4

0.0

0.0

0.0

0.0

-18.4

18.5

0.0

-0.6

-81850.9

-81844.7

0.0

0.0

-327336.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.53

2.69

10.998

11.275

90.0

90.0

90.0

DFT

18.025

2.785

10.833

10.753

90.0

90.0

90.0

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

1

2

3

4

5

6

117.8

30.2

38.4

0.0

0.0

0.0

30.2

62.5

53.8

0.0

0.0

0.0

38.4

53.8

74.4

0.0

0.0

0.0

0.0

0.0

0.0

34.8

0.0

0.0

0.0

0.0

0.0

0.0

3.6

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.314

3.84

3.84

7.452

90.0

90.0

90.0

DFT

18.369

3.909

3.909

7.212

90.0

90.0

90.0

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

1

2

3

4

5

6

93.8

64.7

63.1

0.0

0.0

0.0

64.7

93.8

63.1

0.0

0.0

0.0

63.1

63.1

100.8

0.0

0.0

0.0

0.0

0.0

0.0

0.6

0.0

0.0

0.0

0.0

0.0

0.0

0.6

0.0

0.0

0.0

0.0

0.0

0.0

26.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.071

6.156

9.807

6.27

124.73

100.43

80.62

DFT

17.975

5.838

10.142

4.857

90.0

90.0

90.0

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

1

2

3

4

5

6

70.6

53.0

47.4

4.0

-4.3

1.2

53.0

61.0

55.9

4.1

-2.1

0.2

47.4

55.9

82.6

2.1

2.2

-3.7

4.0

4.1

2.1

3.6

-1.9

-0.3

-4.3

-2.1

2.2

-1.9

9.0

0.1

1.2

0.2

-3.7

-0.3

0.1

7.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.342

5.653

5.347

9.711

90.0

90.0

90.0

DFT

17.959

5.863

5.863

9.653

90.0

90.0

120.0

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

1

2

3

4

5

6

100.7

34.8

69.0

0.0

0.0

0.0

34.8

128.7

34.2

0.0

0.0

0.0

69.0

34.2

102.4

0.0

0.0

0.0

0.0

0.0

0.0

14.9

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

11.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.989

2.627

15.645

7.9

94.16

90.0

90.0

DFT

17.071

2.744

15.29

7.324

90.0

90.0

90.0

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

1

2

3

4

5

6

149.8

36.3

36.3

-7.9

0.0

0.0

36.3

87.4

71.1

3.9

0.0

0.0

36.3

71.1

90.3

-0.3

0.0

0.0

-7.9

3.9

-0.3

14.8

0.0

0.0

0.0

0.0

0.0

0.0

4.7

2.9

0.0

0.0

0.0

0.0

2.9

11.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.265

6.982

6.982

3.747

90.0

90.0

90.0

DFT

18.186

6.955

6.955

3.76

90.0

90.0

90.0

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

1

2

3

4

5

6

53.9

58.5

62.7

0.0

0.0

-0.7

58.5

53.9

62.7

0.0

0.0

0.7

62.7

62.7

85.5

0.0

0.0

0.0

0.0

0.0

0.0

12.3

0.0

0.0

0.0

0.0

0.0

0.0

12.3

0.0

-0.7

0.7

0.0

0.0

0.0

-1.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.819

5.481

5.481

7.757

90.0

90.0

120.0

DFT

16.657

5.421

5.421

7.853

90.0

90.0

120.0

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

1

2

3

4

5

6

79.8

57.2

69.8

0.0

0.0

0.0

57.2

79.8

69.8

0.0

0.0

0.0

69.8

69.8

111.2

0.0

0.0

0.0

0.0

0.0

0.0

12.6

0.0

0.0

0.0

0.0

0.0

0.0

12.6

0.0

0.0

0.0

0.0

0.0

0.0

11.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.746

5.02

5.02

7.318

90.0

90.0

120.0

DFT

17.712

4.99

4.99

7.393

90.0

90.0

120.0

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

1

2

3

4

5

6

76.0

65.9

57.7

0.0

0.0

0.0

65.9

76.0

57.7

0.0

0.0

0.0

57.7

57.7

91.9

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

0.0

5.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.002

6.604

6.604

6.604

90.0

90.0

90.0

DFT

18.14

6.621

6.621

6.621

90.0

90.0

90.0

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

1

2

3

4

5

6

52.0

66.7

66.7

0.0

0.0

0.0

66.7

52.0

66.7

0.0

0.0

0.0

66.7

66.7

52.0

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=0.67))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.806

4.668

4.668

5.661

90.0

90.0

120.0

DFT

17.782

4.675

4.675

5.636

90.0

90.0

120.0

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

1

2

3

4

5

6

72.2

67.3

48.2

0.0

0.0

0.0

67.3

72.2

48.2

0.0

0.0

0.0

48.2

48.2

78.1

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

2.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.088

4.167

4.167

4.167

90.0

90.0

90.0

DFT

17.921

4.154

4.154

4.154

90.0

90.0

90.0

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

1

2

3

4

5

6

46.8

55.0

55.0

0.0

0.0

0.0

55.0

46.8

55.0

0.0

0.0

0.0

55.0

55.0

46.8

0.0

0.0

0.0

0.0

0.0

0.0

10.9

0.0

0.0

0.0

0.0

0.0

0.0

10.9

0.0

0.0

0.0

0.0

0.0

0.0

10.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.567

3.769

2.696

9.895

90.0

90.0

135.66

DFT

16.847

2.817

2.817

9.806

90.0

90.0

120.0

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

1

2

3

4

5

6

119.2

69.7

51.4

0.0

0.0

11.0

69.7

120.2

50.5

0.0

0.0

12.5

51.4

50.5

129.5

0.0

0.0

-20.3

0.0

0.0

0.0

19.3

7.6

0.0

0.0

0.0

0.0

7.6

19.0

0.0

11.0

12.5

-20.3

0.0

0.0

58.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.888

3.763

3.763

8.975

90.0

90.0

90.0

DFT

15.956

3.738

3.738

9.134

90.0

90.0

90.0

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

1

2

3

4

5

6

119.1

-2645.2

68.7

0.0

0.0

-2.6

-2645.2

-5398.4

201962.8

0.0

0.0

144090.6

68.7

201962.8

98.4

0.0

0.0

0.0

0.0

0.0

0.0

-4.0

0.0

0.0

0.0

0.0

0.0

0.0

-4.0

0.0

-2.6

144090.6

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

18.064

6.878

6.878

3.819

90.0

90.0

90.0

DFT

18.152

6.915

6.915

3.796

90.0

90.0

90.0

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

1

2

3

4

5

6

51.2

84.9

56.0

0.0

0.0

0.0

84.9

51.2

56.0

0.0

0.0

0.0

56.0

56.0

70.4

0.0

0.0

0.0

0.0

0.0

0.0

-190663.0

0.0

0.0

0.0

0.0

0.0

0.0

-190663.0

0.0

0.0

0.0

0.0

0.0

0.0

9.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.482

7.167

7.167

5.255

90.0

90.0

120.0

DFT

18.787

5.683

5.683

8.061

90.0

90.0

120.0

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

1

2

3

4

5

6

80.4

68.4

57.4

0.0

0.0

0.0

68.4

80.4

57.4

0.0

0.0

0.0

57.4

57.4

96.9

0.0

0.0

0.0

0.0

0.0

0.0

9.2

0.0

0.0

0.0

0.0

0.0

0.0

9.2

0.0

0.0

0.0

0.0

0.0

0.0

6.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.75

5.979

3.641

8.665

90.0

115.85

107.73

DFT

16.293

4.841

4.841

7.224

90.0

90.0

120.0

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

1

2

3

4

5

6

94.7

38.7

36.4

-0.8

0.1

-13.1

38.7

87.6

31.6

0.7

-0.4

15.7

36.4

31.6

144.2

0.3

0.9

1.8

-0.8

0.7

0.3

17.4

-0.3

1.0

0.1

-0.4

0.9

-0.3

16.5

1.0

-13.1

15.7

1.8

1.0

1.0

36.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.966

6.475

6.475

6.475

90.0

90.0

90.0

DFT

16.97

6.475

6.475

6.475

90.0

90.0

90.0

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

1

2

3

4

5

6

56.3

67.9

67.9

0.0

0.0

0.0

67.9

56.3

67.9

0.0

0.0

0.0

67.9

67.9

56.3

0.0

0.0

0.0

0.0

0.0

0.0

5.7

0.0

0.0

0.0

0.0

0.0

0.0

5.7

0.0

0.0

0.0

0.0

0.0

0.0

5.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.234

5.448

7.478

9.308

90.0

90.0

136.77

DFT

15.904

5.717

5.717

8.991

90.0

90.0

120.0

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

1

2

3

4

5

6

88570.0

-26645.4

44507.0

0.0

11453.9

-44225.6

-26645.4

205.4

28.4

0.0

0.0

26687.0

44507.0

28.4

161.6

0.0

0.0

-44424.7

0.0

0.0

0.0

46.0

0.0

0.2

11453.9

0.0

0.0

0.0

33.5

-11457.4

-44225.6

26687.0

-44424.7

0.2

-11457.4

39.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.137

3.621

3.621

20.911

90.0

90.0

90.0

DFT

17.172

3.604

3.604

21.157

90.0

90.0

90.0

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

1

2

3

4

5

6

102.7

56.0

45.0

0.0

0.0

0.0

56.0

102.7

45.0

0.0

0.0

0.0

45.0

45.0

81.2

0.0

0.0

0.0

0.0

0.0

0.0

-1.4

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

31.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.048

2.676

2.676

4.76

90.0

90.0

90.0

DFT

17.072

2.671

2.671

4.786

90.0

90.0

90.0

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

1

2

3

4

5

6

124.0

26.5

54.9

0.0

0.0

0.0

26.5

124.0

54.9

0.0

0.0

0.0

54.9

54.9

79.1

0.0

0.0

0.0

0.0

0.0

0.0

-0.5

0.0

0.0

0.0

0.0

0.0

0.0

-0.5

0.0

0.0

0.0

0.0

0.0

0.0

7.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.897

6.336

6.336

6.336

90.0

90.0

90.0

DFT

15.837

6.328

6.328

6.328

90.0

90.0

90.0

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

1

2

3

4

5

6

41.6

70.0

70.0

0.0

0.0

0.0

70.0

41.6

70.0

0.0

0.0

0.0

70.0

70.0

41.6

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