pair-49 (Zn-Sn-2022-06-12)

Energy distribution

../../../../_images/distribution1052.png

Convex hull (formation energy)

../../../../_images/convex1052.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Zn

1.0

0.0

Sn

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-sep1052.png

Prototype structure energy

../../../../_images/icsd-pred1052.png

Phonon density of states

../../../../_images/dos1052.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-97006-10-[InMg2]

-2.87976

-2.87429

icsd-58745-01-[Fe6Ge6Mg]

-2.82691

-2.85043

icsd-105521-10-[Al5W]

-2.73503

-2.73604

icsd-648748-10-[Pd4Se]

-2.69179

-2.69791

icsd-150584-10-[Fe13Ge3]

-2.68008

-2.68136

icsd-42773-10-[IrGe4]

-2.67496

-2.67465

icsd-107998-10-[MoNi4]

-2.67353

-2.68139

icsd-167735-10-[Ru2B3]

-2.64242

-2.65314

icsd-424636-10-[MnGa4]

-2.60842

-2.60462

icsd-108762-10-[Hg4Pt]

-2.60825

-2.60463

icsd-639148-10-[NiHg4]

-2.60825

-2.60463

icsd-104506-01-[Ni3Sn]

-2.55156

-2.54769

icsd-260285-01-[UCl3]

-2.55115

-2.54713

icsd-649037-01-[Ni3Ti]

-2.5483

-2.5452

icsd-69199-01-[U3Si]

-2.54308

-2.54527

icsd-609153-01-[AlPt3]

-2.54258

-2.54496

icsd-181127-10-[Auricupride-AuCu3]

-2.5425

-2.54514

icsd-99787-10-[Fe3Pt]

-2.5425

-2.54514

icsd-648572-01-[CuInPt2]

-2.5425

-2.54514

icsd-643301-01-[Au3Cd]

-2.53624

-2.54557

icsd-640726-10-[CuSmP2]

-2.53624

-2.54559

icsd-416747-01-[Al3Zr]

-2.53623

-2.5456

icsd-188260-10-[Heusler-AlCu2Mn]

-2.53322

-2.54154

icsd-189695-01-[CuHg2Ti]

-2.53322

-2.54154

icsd-420250-01-[LiPd2Tl]

-2.53142

-2.54528

icsd-635208-10-[CoGa3]

-2.50445

-2.51909

icsd-635642-01-[Hg5Mn2]

-2.47862

-2.4834

icsd-30446-01-[Fe2B]

-2.42344

-2.42658

icsd-248490-10-[Pt2Si]

-2.41453

-2.41992

icsd-638227-10-[Fluorite-CaF2]

-2.41453

-2.42029

icsd-169457-10-[ZrH2]

-2.41452

-2.41986

icsd-652553-10-[AlCr2-MoSi2]

-2.40673

-2.39579

icsd-58607-10-[Au2Ti]

-2.40672

-2.39579

icsd-58471-01-[CuZr2]

-2.40645

-2.3958

icsd-155842-10-[Co5Fe11]

-2.40424

-2.41049

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

-2.39251

-2.38849

icsd-610464-10-[PbClF/Cu2Sb]

-2.37685

-2.36359

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

-2.37268

-2.36548

icsd-105948-01-[InNi2]

-2.37268

-2.36548

icsd-611176-01-[Fe2P]

-2.37192

-2.38896

icsd-5258-01-[FeSi2]

-2.36793

-2.36686

icsd-16504-01-[CrSi2]

-2.36404

-2.3579

icsd-409859-10-[La2Sb]

-2.36074

-2.35893

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

-2.35552

-2.35695

icsd-106786-10-[Hg2Pt]

-2.35397

-2.35413

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

-2.3147

-2.31558

icsd-105726-01-[Pd5Ti3]

-2.30677

-2.29467

icsd-59586-01-[Pd5Th3]

-2.29287

-2.28666

icsd-639227-10-[Si2U3]

-2.25519

-2.26242

icsd-659829-01-[Al2Li3]

-2.25294

-2.25339

icsd-239-10-[Cu3Se2]

-2.24728

-2.25292

icsd-629380-10-[Al3Os2]

-2.24657

-2.23642

icsd-103995-01-[Ga3Ti2]

-2.22507

-2.22806

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

-2.22023

-2.22126

icsd-185626-10-[Al3Ni2]

-2.21506

-2.24771

icsd-629406-10-[Cu4Ti3]

-2.20436

-2.19619

icsd-73839-10-[Ni3S2]

-2.18387

-2.1877

icsd-16606-01-[Nb3Te4]

-2.16392

-2.16491

icsd-246555-10-[Co2Nd]

-2.1412

-2.14223

icsd-639879-10-[In5In4]

-2.12854

-2.12618

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

-2.03229

-2.03692

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

-2.03229

-2.03692

icsd-639037-01-[HgIn]

-2.03229

-2.03692

icsd-100654-01-[BiSe]

-2.02689

-2.02491

icsd-611618-01-[TiAs]

-2.02

-2.017

icsd-618702-01-[ScTe]

-2.02

-2.017

icsd-650527-01-[CsCl]

-2.00961

-2.00361

icsd-626692-01-[Nickeline-NiAs]

-2.00892

-2.01098

icsd-168897-01-[LaI]

-2.00891

-2.01098

icsd-102712-01-[CoU]

-2.00731

-2.00598

icsd-42428-01-[Fe3Pt]

-2.00618

-2.00747

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

-2.00616

-2.00677

icsd-108707-01-[HgMn]

-2.00616

-2.00677

icsd-59508-01-[AuCu]

-2.00615

-2.00677

icsd-106325-01-[BiIn]

-2.00572

-2.00767

icsd-55492-01-[BaPt]

-2.00224

-1.98367

icsd-635060-01-[Fersilicite-FeSi]

-2.00185

-1.99698

icsd-611457-01-[NbAs]

-1.99927

-2.01244

icsd-105636-01-[PbU]

-1.99925

-2.01244

icsd-42472-01-[CoO]

-1.99498

-1.99794

icsd-181788-01-[NaCl]

-1.99494

-1.99735

icsd-618295-01-[MoC1-x]

-1.99179

-1.98998

icsd-644708-01-[WC]

-1.98263

-1.98834

icsd-659856-01-[LiPt]

-1.98263

-1.98834

icsd-161109-01-[CoSn]

-1.97973

-1.98364

icsd-103775-01-[NaTl]

-1.96956

-1.96648

icsd-240119-01-[AlLi]

-1.96947

-1.96711

icsd-639879-01-[In5In4]

-1.92671

-1.9286

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

-1.91856

-1.91755

icsd-629406-01-[Cu4Ti3]

-1.88452

-1.87929

icsd-16606-10-[Nb3Te4]

-1.87287

-1.87291

icsd-239-01-[Cu3Se2]

-1.84504

-1.84706

icsd-185626-01-[Al3Ni2]

-1.82513

-1.83422

icsd-103995-10-[Ga3Ti2]

-1.82109

-1.80834

icsd-73839-01-[Ni3S2]

-1.81897

-1.82462

icsd-629380-01-[Al3Os2]

-1.79815

-1.79757

icsd-59586-10-[Pd5Th3]

-1.7891

-1.78553

icsd-659829-10-[Al2Li3]

-1.76229

-1.75908

icsd-105726-10-[Pd5Ti3]

-1.74619

-1.74435

icsd-639227-01-[Si2U3]

-1.74468

-1.74761

icsd-610464-01-[PbClF/Cu2Sb]

-1.73705

-1.73755

icsd-409859-01-[La2Sb]

-1.72585

-1.72515

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

-1.71874

-1.71889

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

-1.71561

-1.71973

icsd-246555-01-[Co2Nd]

-1.71196

-1.70741

icsd-30446-10-[Fe2B]

-1.69204

-1.69182

icsd-611176-10-[Fe2P]

-1.67505

-1.67311

icsd-652553-01-[AlCr2-MoSi2]

-1.67105

-1.67057

icsd-58471-10-[CuZr2]

-1.67104

-1.67057

icsd-16504-10-[CrSi2]

-1.66614

-1.66331

icsd-638227-01-[Fluorite-CaF2]

-1.66257

-1.66307

icsd-169457-01-[ZrH2]

-1.66257

-1.66285

icsd-248490-01-[Pt2Si]

-1.66256

-1.66283

icsd-58607-01-[Au2Ti]

-1.66051

-1.65782

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

-1.65508

-1.6613

icsd-106786-01-[Hg2Pt]

-1.64219

-1.63985

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

-1.617

-1.61721

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

-1.61672

-1.62068

icsd-105948-10-[InNi2]

-1.61658

-1.62067

icsd-5258-10-[FeSi2]

-1.59424

-1.59476

icsd-155842-01-[Co5Fe11]

-1.58804

-1.58325

icsd-635642-10-[Hg5Mn2]

-1.56445

-1.59008

icsd-260285-10-[UCl3]

-1.50974

-1.50741

icsd-104506-10-[Ni3Sn]

-1.50956

-1.50782

icsd-643301-10-[Au3Cd]

-1.50732

-1.49801

icsd-640726-01-[CuSmP2]

-1.50729

-1.49799

icsd-416747-10-[Al3Zr]

-1.50726

-1.49799

icsd-649037-10-[Ni3Ti]

-1.50274

-1.50687

icsd-609153-10-[AlPt3]

-1.49973

-1.49785

icsd-69199-10-[U3Si]

-1.49973

-1.49786

icsd-648572-10-[CuInPt2]

-1.49972

-1.49788

icsd-181127-01-[Auricupride-AuCu3]

-1.4997

-1.49788

icsd-99787-01-[Fe3Pt]

-1.4997

-1.49787

icsd-420250-10-[LiPd2Tl]

-1.4991

-1.49643

icsd-105191-10-[Al3Ti]

-1.4991

-1.49643

icsd-189695-10-[CuHg2Ti]

-1.457

-1.44504

icsd-188260-01-[Heusler-AlCu2Mn]

-1.457

-1.44504

icsd-107998-01-[MoNi4]

-1.40863

-1.41825

icsd-42773-01-[IrGe4]

-1.38656

-1.41484

icsd-648748-01-[Pd4Se]

-1.38041

-1.38277

icsd-167735-01-[Ru2B3]

-1.37746

-1.3778

icsd-635208-01-[CoGa3]

-1.3561

-1.36764

icsd-150584-01-[Fe13Ge3]

-1.33749

-1.33543

icsd-105521-01-[Al5W]

-1.32874

-1.32209

icsd-97006-01-[InMg2]

-1.20202

-1.20384

icsd-58745-10-[Fe6Ge6Mg]

-1.18953

-1.19389

icsd-424636-01-[MnGa4]

-1.10014

-1.09947

icsd-108762-01-[Hg4Pt]

-1.10014

-1.09947

icsd-639148-01-[NiHg4]

-1.10014

-1.09947

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.361

7.203

7.203

7.203

90.0

90.0

90.0

DFT

22.149

7.077

7.077

7.077

90.0

90.0

90.0

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

1

2

3

4

5

6

67.0

29.5

29.5

0.0

0.0

0.0

29.5

67.0

29.5

0.0

0.0

0.0

29.5

29.5

67.0

0.0

0.0

0.0

0.0

0.0

0.0

11.3

0.0

0.0

0.0

0.0

0.0

0.0

11.3

0.0

0.0

0.0

0.0

0.0

0.0

11.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.498

6.169

6.169

5.557

90.0

90.0

144.44

DFT

20.372

5.001

5.001

5.643

90.0

90.0

120.0

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

1

2

3

4

5

6

64.9

39.4

36.3

0.0

0.0

5.6

39.4

51.3

35.2

0.0

0.0

-10.5

36.3

35.2

82.8

0.0

0.0

-0.4

0.0

0.0

0.0

12.1

1.6

0.0

0.0

0.0

0.0

1.6

7.6

0.0

5.6

-10.5

-0.4

0.0

0.0

14.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.006

3.486

3.486

4.373

90.0

90.0

120.0

DFT

22.879

3.456

3.456

4.424

90.0

90.0

120.0

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

1

2

3

4

5

6

24.3

23.7

22.2

0.0

0.0

0.0

23.7

24.3

22.2

0.0

0.0

0.0

22.2

22.2

45.0

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

0.0

0.0

0.0

0.0

0.0

0.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.285

6.638

6.638

4.15

90.0

90.0

90.0

DFT

17.927

6.585

6.585

4.134

90.0

90.0

90.0

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

1

2

3

4

5

6

72.4

54.4

53.4

0.0

0.0

8.3

54.4

72.4

53.4

0.0

0.0

-8.3

53.4

53.4

80.8

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

8.3

-8.3

0.0

0.0

0.0

-7.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.748

3.517

3.517

3.517

90.0

90.0

90.0

DFT

22.103

3.536

3.536

3.536

90.0

90.0

90.0

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

1

2

3

4

5

6

74.6

53.1

53.1

0.0

0.0

0.0

53.1

74.6

53.1

0.0

0.0

0.0

53.1

53.1

74.6

0.0

0.0

0.0

0.0

0.0

0.0

15.0

0.0

0.0

0.0

0.0

0.0

0.0

15.0

0.0

0.0

0.0

0.0

0.0

0.0

15.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.269

4.256

4.256

4.256

90.0

90.0

90.0

DFT

18.638

4.209

4.209

4.209

90.0

90.0

90.0

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

1

2

3

4

5

6

92.1

60.5

60.5

0.0

0.0

0.0

60.5

92.1

60.5

0.0

0.0

0.0

60.5

60.5

92.1

0.0

0.0

0.0

0.0

0.0

0.0

4.8

0.0

0.0

0.0

0.0

0.0

0.0

4.8

0.0

0.0

0.0

0.0

0.0

0.0

4.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.217

3.973

3.973

7.685

90.0

90.0

90.0

DFT

19.668

4.025

4.025

7.284

90.0

90.0

90.0

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

1

2

3

4

5

6

58.7

35.5

40.7

0.0

0.0

0.0

35.5

58.7

40.7

0.0

0.0

0.0

40.7

40.7

85.1

0.0

0.0

0.0

0.0

0.0

0.0

17.0

0.0

0.0

0.0

0.0

0.0

0.0

17.0

0.0

0.0

0.0

0.0

0.0

0.0

14.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.79

3.436

5.394

22.266

90.0

90.0

90.0

DFT

25.35

4.562

4.562

19.492

90.0

90.0

90.0

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

1

2

3

4

5

6

42.1

31.9

30.2

0.0

0.0

0.0

31.9

47.3

26.3

0.0

0.0

0.0

30.2

26.3

44.9

0.0

0.0

0.0

0.0

0.0

0.0

-10.6

0.0

0.0

0.0

0.0

0.0

0.0

8.5

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.085

5.695

5.695

5.695

90.0

90.0

90.0

DFT

22.503

5.646

5.646

5.646

90.0

90.0

90.0

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

1

2

3

4

5

6

31.4

36.2

36.2

0.0

0.0

0.0

36.2

31.4

36.2

0.0

0.0

0.0

36.2

36.2

31.4

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

1.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.031

8.392

8.392

3.128

90.0

90.0

90.0

DFT

22.565

7.996

7.996

3.529

90.0

90.0

90.0

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

1

2

3

4

5

6

46.9

42.7

37.9

0.0

0.0

0.0

42.7

46.9

37.9

0.0

0.0

0.0

37.9

37.9

86.1

0.0

0.0

0.0

0.0

0.0

0.0

3.2

0.0

0.0

0.0

0.0

0.0

0.0

3.2

0.0

0.0

0.0

0.0

0.0

0.0

22.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.137

6.624

10.195

4.534

90.0

90.0

90.0

DFT

19.253

6.529

11.126

4.241

90.0

90.0

90.0

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

1

2

3

4

5

6

55.7

56.0

58.9

0.0

0.0

0.0

56.0

68.6

61.9

0.0

0.0

0.0

58.9

61.9

78.5

0.0

0.0

0.0

0.0

0.0

0.0

11.5

0.0

0.0

0.0

0.0

0.0

0.0

4.9

0.0

0.0

0.0

0.0

0.0

0.0

-85.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.543

4.195

13.778

7.955

90.0

90.0

90.0

DFT

24.164

3.451

15.34

8.217

90.0

90.0

90.0

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

1

2

3

4

5

6

64.5

30.9

30.9

0.0

0.0

0.0

30.9

46.6

30.4

0.0

0.0

0.0

30.9

30.4

46.6

0.0

0.0

0.0

0.0

0.0

0.0

8.1

0.0

0.0

0.0

0.0

0.0

0.0

12.2

0.0

0.0

0.0

0.0

0.0

0.0

12.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.247

4.427

4.427

7.731

90.0

90.0

90.0

DFT

24.678

4.371

4.371

7.748

90.0

90.0

90.0

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

1

2

3

4

5

6

50.9

45.5

43.1

-0.1

0.0

0.0

45.5

50.9

43.1

-0.2

0.0

0.0

43.1

43.1

82.1

-0.1

0.0

0.0

-0.1

-0.2

-0.1

-22285.5

0.0

0.0

0.0

0.0

0.0

0.0

-22285.5

0.0

0.0

0.0

0.0

0.0

0.0

13.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.687

6.727

11.652

5.243

90.0

90.0

90.0

DFT

25.166

6.545

11.363

5.414

90.0

90.0

90.0

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

1

2

3

4

5

6

41.5

39.7

27.5

0.0

0.0

0.0

39.7

41.5

27.5

0.0

0.0

0.0

27.5

27.5

42.6

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

0.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.745

6.956

6.956

10.211

90.0

90.0

120.0

DFT

25.289

6.589

6.589

10.763

90.0

90.0

120.0

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

1

2

3

4

5

6

22.1

17.4

23.4

0.0

0.0

0.0

17.4

22.1

23.4

0.0

0.0

0.0

23.4

23.4

31.4

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

6.1

0.0

0.0

0.0

0.0

0.0

0.0

2.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.198

3.072

9.553

12.387

90.0

90.0

90.0

DFT

20.361

3.045

11.974

10.053

90.0

90.0

90.0

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

1

2

3

4

5

6

67.5

46.1

40.8

0.0

0.0

0.0

46.1

40.6

41.5

0.0

0.0

0.0

40.8

41.5

70.6

0.0

0.0

0.0

0.0

0.0

0.0

31.0

0.0

0.0

0.0

0.0

0.0

0.0

3.7

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.59

8.506

8.506

3.675

90.0

90.0

90.0

DFT

25.61

7.964

7.964

4.038

90.0

90.0

90.0

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

1

2

3

4

5

6

24.3

21.7

23.5

0.0

0.0

0.0

21.7

24.3

23.5

0.0

0.0

0.0

23.5

23.5

50.3

0.0

0.0

0.0

0.0

0.0

0.0

17.0

0.0

0.0

0.0

0.0

0.0

0.0

17.0

0.0

0.0

0.0

0.0

0.0

0.0

22.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.075

5.451

5.451

8.896

90.0

90.0

120.0

DFT

19.565

5.374

5.374

9.388

90.0

90.0

120.0

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

1

2

3

4

5

6

118.5

92.3

95.0

0.0

0.0

0.0

92.3

118.5

95.0

0.0

0.0

0.0

95.0

95.0

125.2

0.0

0.0

0.0

0.0

0.0

0.0

11.5

0.0

0.0

0.0

0.0

0.0

0.0

11.5

0.0

0.0

0.0

0.0

0.0

0.0

13.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.712

5.523

5.523

8.76

90.0

90.0

120.0

DFT

24.433

5.565

5.565

8.198

90.0

90.0

120.0

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

1

2

3

4

5

6

66.4

51.4

37.2

0.0

0.0

0.0

51.4

66.4

37.2

0.0

0.0

0.0

37.2

37.2

60.1

0.0

0.0

0.0

0.0

0.0

0.0

3.5

0.0

0.0

0.0

0.0

0.0

0.0

3.5

0.0

0.0

0.0

0.0

0.0

0.0

7.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.157

7.48

7.48

7.48

90.0

90.0

90.0

DFT

25.345

7.402

7.402

7.402

90.0

90.0

90.0

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

1

2

3

4

5

6

41.8

40.2

40.2

0.0

0.0

0.0

40.2

41.8

40.2

0.0

0.0

0.0

40.2

40.2

41.8

0.0

0.0

0.0

0.0

0.0

0.0

4.7

0.0

0.0

0.0

0.0

0.0

0.0

4.7

0.0

0.0

0.0

0.0

0.0

0.0

4.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.981

4.999

4.999

7.202

90.0

90.0

120.0

DFT

24.26

5.099

5.099

6.466

90.0

90.0

120.0

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

1

2

3

4

5

6

51.4

42.4

27.0

0.0

0.0

0.0

42.4

51.4

27.0

0.0

0.0

0.0

27.0

27.0

29.4

0.0

0.0

0.0

0.0

0.0

0.0

11.9

0.0

0.0

0.0

0.0

0.0

0.0

11.9

0.0

0.0

0.0

0.0

0.0

0.0

4.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.641

4.741

4.741

4.741

90.0

90.0

90.0

DFT

25.299

4.66

4.66

4.66

90.0

90.0

90.0

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

1

2

3

4

5

6

22.1

19.7

19.7

0.0

0.0

0.0

19.7

22.1

19.7

0.0

0.0

0.0

19.7

19.7

22.1

0.0

0.0

0.0

0.0

0.0

0.0

3.7

0.0

0.0

0.0

0.0

0.0

0.0

3.7

0.0

0.0

0.0

0.0

0.0

0.0

3.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.286

3.318

3.318

8.758

90.0

90.0

104.93

DFT

22.553

3.446

3.446

8.77

90.0

90.0

120.0

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

1

2

3

4

5

6

61.3

44.2

33.7

0.0

0.0

-1.0

44.2

59.6

31.3

0.0

0.0

-2.1

33.7

31.3

44.3

0.0

0.0

-4.6

0.0

0.0

0.0

11.1

0.3

0.0

0.0

0.0

0.0

0.3

11.0

0.0

-1.0

-2.1

-4.6

0.0

0.0

6.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.256

4.221

4.221

8.645

90.0

90.0

90.0

DFT

18.634

4.215

4.215

8.39

90.0

90.0

90.0

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

1

2

3

4

5

6

82.4

63.5

56.1

0.0

0.0

0.0

63.5

82.4

56.1

0.0

0.0

0.0

56.1

56.1

86.4

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

0.0

4.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.247

7.742

7.742

4.046

90.0

90.0

90.0

DFT

23.262

7.433

7.433

4.211

90.0

90.0

90.0

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

1

2

3

4

5

6

-3191.7

3275.5

34.4

0.0

0.0

0.0

3275.5

-3191.7

34.4

0.0

0.0

0.0

34.4

34.4

49.8

0.0

0.0

0.0

0.0

0.0

0.0

8.3

0.0

0.0

0.0

0.0

0.0

0.0

8.3

0.0

0.0

0.0

0.0

0.0

0.0

5.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.724

6.608

7.091

6.34

90.0

90.0

92.87

DFT

27.52

6.78

6.78

8.295

90.0

90.0

120.0

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

1

2

3

4

5

6

44.9

19.6

15.4

0.0

0.0

-2.0

19.6

30.8

15.2

0.0

0.0

4.6

15.4

15.2

53.8

0.0

0.0

4.0

0.0

0.0

0.0

10.0

-2.0

0.0

0.0

0.0

0.0

-2.0

1.0

0.0

-2.0

4.6

4.0

0.0

0.0

12.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.91

5.309

5.309

7.709

90.0

90.0

120.0

DFT

20.043

5.208

5.208

7.68

90.0

90.0

120.0

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

1

2

3

4

5

6

67.9

56.0

51.5

0.0

0.0

0.0

56.0

67.9

51.5

0.0

0.0

0.0

51.5

51.5

66.1

0.0

0.0

0.0

0.0

0.0

0.0

4.2

0.0

0.0

0.0

0.0

0.0

0.0

4.2

0.0

0.0

0.0

0.0

0.0

0.0

5.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.793

7.248

7.248

7.248

90.0

90.0

90.0

DFT

23.054

7.172

7.172

7.172

90.0

90.0

90.0

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

1

2

3

4

5

6

49.0

46.8

46.8

0.0

0.0

0.0

46.8

49.0

46.8

0.0

0.0

0.0

46.8

46.8

49.0

0.0

0.0

0.0

0.0

0.0

0.0

-2.2

0.0

0.0

0.0

0.0

0.0

0.0

-2.2

0.0

0.0

0.0

0.0

0.0

0.0

-2.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.085

6.135

6.135

9.369

90.0

90.0

120.0

DFT

19.106

6.444

6.444

8.5

90.0

90.0

120.0

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

1

2

3

4

5

6

65.9

62.4

58.0

0.0

0.0

0.0

62.4

65.9

58.0

0.0

0.0

0.0

58.0

58.0

59.5

0.0

0.0

0.0

0.0

0.0

0.0

8.9

0.0

0.0

0.0

0.0

0.0

0.0

8.9

0.0

0.0

0.0

0.0

0.0

0.0

1.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.357

4.221

4.221

17.38

90.0

90.0

90.0

DFT

18.67

4.211

4.211

16.847

90.0

90.0

90.0

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

1

2

3

4

5

6

81.6

57.9

49.3

0.0

0.0

0.0

57.9

81.6

49.3

0.0

0.0

0.0

49.3

49.3

58.6

0.0

0.0

0.0

0.0

0.0

0.0

-7.4

0.0

0.0

0.0

0.0

0.0

0.0

-7.4

0.0

0.0

0.0

0.0

0.0

0.0

3.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.351

3.198

3.198

4.372

90.0

90.0

90.0

DFT

22.069

3.297

3.297

4.06

90.0

90.0

90.0

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

1

2

3

4

5

6

62.4

57.5

61.0

0.0

0.0

0.0

57.5

62.4

61.0

0.0

0.0

0.0

61.0

61.0

86.3

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

4.1

0.0

0.0

0.0

0.0

0.0

0.0

6.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.589

6.793

6.793

6.793

90.0

90.0

90.0

DFT

19.292

6.758

6.758

6.758

90.0

90.0

90.0

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

1

2

3

4

5

6

46.4

62.5

62.5

0.0

0.0

0.0

62.5

46.4

62.5

0.0

0.0

0.0

62.5

62.5

46.4

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

-0.5