gtinv-260 (Sn-Pb-2022-06-12)

Energy distribution

../../../../_images/distribution974.png

Convex hull (formation energy)

../../../../_images/convex974.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Sn

1.0

0.0

Pb

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-sep974.png

Prototype structure energy

../../../../_images/icsd-pred974.png

Phonon density of states

../../../../_images/dos974.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-648748-01-[Pd4Se]

-3.11044

-3.11036

icsd-107998-01-[MoNi4]

-3.09695

-3.0965

icsd-167735-01-[Ru2B3]

-3.09565

-3.09647

icsd-97006-01-[InMg2]

-3.09529

-3.09636

icsd-105521-01-[Al5W]

-3.09515

-3.09507

icsd-648572-10-[CuInPt2]

-3.08817

-3.08875

icsd-181127-01-[Auricupride-AuCu3]

-3.08817

-3.08875

icsd-99787-01-[Fe3Pt]

-3.08817

-3.08872

icsd-69199-10-[U3Si]

-3.08816

-3.08786

icsd-609153-10-[AlPt3]

-3.08815

-3.0879

icsd-420250-10-[LiPd2Tl]

-3.08731

-3.08813

icsd-105191-10-[Al3Ti]

-3.08731

-3.08813

icsd-640726-01-[CuSmP2]

-3.087

-3.08781

icsd-416747-10-[Al3Zr]

-3.08698

-3.08781

icsd-643301-10-[Au3Cd]

-3.08692

-3.08781

icsd-260285-10-[UCl3]

-3.08517

-3.08486

icsd-104506-10-[Ni3Sn]

-3.08516

-3.08449

icsd-649037-10-[Ni3Ti]

-3.08336

-3.08268

icsd-150584-01-[Fe13Ge3]

-3.07988

-3.07989

icsd-58607-01-[Au2Ti]

-3.07703

-3.07857

icsd-652553-01-[AlCr2-MoSi2]

-3.077

-3.07857

icsd-58471-10-[CuZr2]

-3.07661

-3.07846

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

-3.0752

-3.0759

icsd-105726-10-[Pd5Ti3]

-3.07062

-3.07093

icsd-103995-10-[Ga3Ti2]

-3.06512

-3.0651

icsd-189695-10-[CuHg2Ti]

-3.06491

-3.06431

icsd-188260-01-[Heusler-AlCu2Mn]

-3.06491

-3.06431

icsd-155842-01-[Co5Fe11]

-3.06462

-3.06487

icsd-629406-01-[Cu4Ti3]

-3.06439

-3.06407

icsd-611176-10-[Fe2P]

-3.0609

-3.06022

icsd-16504-10-[CrSi2]

-3.0593

-3.05905

icsd-16606-10-[Nb3Te4]

-3.05698

-3.05577

icsd-100654-01-[BiSe]

-3.05075

-3.05063

icsd-629380-01-[Al3Os2]

-3.05065

-3.0513

icsd-409859-01-[La2Sb]

-3.05028

-3.04984

icsd-106325-01-[BiIn]

-3.04961

-3.05008

icsd-42428-01-[Fe3Pt]

-3.04952

-3.0497

icsd-108707-01-[HgMn]

-3.04929

-3.04962

icsd-59508-01-[AuCu]

-3.04929

-3.04962

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

-3.04928

-3.04962

icsd-105636-01-[PbU]

-3.04883

-3.04882

icsd-611457-01-[NbAs]

-3.04883

-3.04882

icsd-42773-01-[IrGe4]

-3.04758

-3.04816

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

-3.04726

-3.04744

icsd-639037-01-[HgIn]

-3.04726

-3.04744

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

-3.04726

-3.04744

icsd-611618-01-[TiAs]

-3.04513

-3.04586

icsd-618702-01-[ScTe]

-3.04512

-3.04586

icsd-168897-01-[LaI]

-3.04364

-3.04324

icsd-626692-01-[Nickeline-NiAs]

-3.04364

-3.04324

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

-3.04342

-3.04402

icsd-58745-10-[Fe6Ge6Mg]

-3.0431

-3.04331

icsd-629406-10-[Cu4Ti3]

-3.04252

-3.04243

icsd-659856-01-[LiPt]

-3.03888

-3.03932

icsd-644708-01-[WC]

-3.03888

-3.03932

icsd-629380-10-[Al3Os2]

-3.03832

-3.03626

icsd-610464-01-[PbClF/Cu2Sb]

-3.03783

-3.03823

icsd-659829-10-[Al2Li3]

-3.03622

-3.03633

icsd-103995-01-[Ga3Ti2]

-3.03597

-3.03615

icsd-105726-01-[Pd5Ti3]

-3.03417

-3.03366

icsd-59586-10-[Pd5Th3]

-3.03186

-3.03191

icsd-102712-01-[CoU]

-3.03137

-3.03065

icsd-635642-10-[Hg5Mn2]

-3.03033

-3.03045

icsd-5258-10-[FeSi2]

-3.02965

-3.02873

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

-3.02958

-3.03108

icsd-652553-10-[AlCr2-MoSi2]

-3.02715

-3.02878

icsd-58607-10-[Au2Ti]

-3.02714

-3.02877

icsd-58471-01-[CuZr2]

-3.027

-3.0287

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

-3.0261

-3.02825

icsd-155842-10-[Co5Fe11]

-3.02445

-3.02449

icsd-239-01-[Cu3Se2]

-3.02431

-3.02373

icsd-240119-01-[AlLi]

-3.01736

-3.01788

icsd-103775-01-[NaTl]

-3.01735

-3.01893

icsd-618295-01-[MoC1-x]

-3.01734

-3.01661

icsd-609153-01-[AlPt3]

-3.01673

-3.0168

icsd-69199-01-[U3Si]

-3.01673

-3.01678

icsd-181127-10-[Auricupride-AuCu3]

-3.01671

-3.01669

icsd-99787-10-[Fe3Pt]

-3.01671

-3.01669

icsd-648572-01-[CuInPt2]

-3.01671

-3.01669

icsd-650527-01-[CsCl]

-3.01664

-3.01667

icsd-643301-01-[Au3Cd]

-3.0166

-3.01652

icsd-640726-10-[CuSmP2]

-3.01659

-3.01652

icsd-416747-01-[Al3Zr]

-3.01659

-3.01652

icsd-105191-01-[Al3Ti]

-3.01642

-3.01623

icsd-420250-01-[LiPd2Tl]

-3.01642

-3.01623

icsd-639879-10-[In5In4]

-3.01615

-3.01619

icsd-246555-01-[Co2Nd]

-3.01541

-3.01479

icsd-107998-10-[MoNi4]

-3.01

-3.01003

icsd-649037-01-[Ni3Ti]

-3.00856

-3.00899

icsd-16504-01-[CrSi2]

-3.00676

-3.00768

icsd-635060-01-[Fersilicite-FeSi]

-3.00601

-3.00636

icsd-260285-01-[UCl3]

-3.00494

-3.00499

icsd-104506-01-[Ni3Sn]

-3.00492

-3.00509

icsd-106786-01-[Hg2Pt]

-3.00355

-3.00326

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

-3.0022

-3.003

icsd-59586-01-[Pd5Th3]

-3.00154

-3.00264

icsd-659829-01-[Al2Li3]

-3.00153

-3.00239

icsd-611176-01-[Fe2P]

-2.99955

-2.9975

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

-2.99921

-2.9992

icsd-105948-01-[InNi2]

-2.99921

-2.9992

icsd-105521-10-[Al5W]

-2.99895

-2.99932

icsd-239-10-[Cu3Se2]

-2.99509

-2.99528

icsd-639227-10-[Si2U3]

-2.9898

-2.99028

icsd-185626-01-[Al3Ni2]

-2.98418

-2.98409

icsd-409859-10-[La2Sb]

-2.98223

-2.98212

icsd-30446-01-[Fe2B]

-2.97955

-2.98068

icsd-189695-01-[CuHg2Ti]

-2.97875

-2.9795

icsd-188260-10-[Heusler-AlCu2Mn]

-2.97875

-2.9795

icsd-610464-10-[PbClF/Cu2Sb]

-2.97591

-2.97585

icsd-635642-01-[Hg5Mn2]

-2.97582

-2.97444

icsd-97006-10-[InMg2]

-2.97451

-2.9749

icsd-150584-10-[Fe13Ge3]

-2.97357

-2.97119

icsd-169457-10-[ZrH2]

-2.97296

-2.97232

icsd-638227-10-[Fluorite-CaF2]

-2.97296

-2.97242

icsd-248490-10-[Pt2Si]

-2.97296

-2.97247

icsd-185626-10-[Al3Ni2]

-2.96891

-2.968

icsd-73839-01-[Ni3S2]

-2.96338

-2.96287

icsd-16606-01-[Nb3Te4]

-2.96273

-2.96399

icsd-5258-01-[FeSi2]

-2.96242

-2.96276

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

-2.95561

-2.95596

icsd-639227-01-[Si2U3]

-2.95536

-2.95555

icsd-30446-10-[Fe2B]

-2.95386

-2.95391

icsd-42773-10-[IrGe4]

-2.94861

-2.94543

icsd-648748-10-[Pd4Se]

-2.92877

-2.92801

icsd-42472-01-[CoO]

-2.9282

-2.92944

icsd-181788-01-[NaCl]

-2.9282

-2.93054

icsd-55492-01-[BaPt]

-2.92617

-2.92655

icsd-161109-01-[CoSn]

-2.92245

-2.92228

icsd-169457-01-[ZrH2]

-2.92021

-2.92048

icsd-248490-01-[Pt2Si]

-2.92019

-2.92056

icsd-638227-01-[Fluorite-CaF2]

-2.92018

-2.92073

icsd-106786-10-[Hg2Pt]

-2.91807

-2.91729

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

-2.91299

-2.91383

icsd-73839-10-[Ni3S2]

-2.90721

-2.90737

icsd-167735-10-[Ru2B3]

-2.90435

-2.9042

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

-2.89608

-2.89722

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

-2.87421

-2.87489

icsd-58745-01-[Fe6Ge6Mg]

-2.87383

-2.87569

icsd-635208-01-[CoGa3]

-2.85577

-2.8566

icsd-635208-10-[CoGa3]

-2.84888

-2.84945

icsd-246555-10-[Co2Nd]

-2.83551

-2.83523

icsd-639148-10-[NiHg4]

-2.75716

-2.75728

icsd-108762-10-[Hg4Pt]

-2.75716

-2.75728

icsd-424636-10-[MnGa4]

-2.75715

-2.75728

icsd-424636-01-[MnGa4]

-2.743

-2.74299

icsd-639148-01-[NiHg4]

-2.743

-2.74299

icsd-108762-01-[Hg4Pt]

-2.743

-2.74299

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.984

7.828

7.828

7.828

90.0

90.0

90.0

DFT

30.249

7.851

7.851

7.851

90.0

90.0

90.0

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

1

2

3

4

5

6

42.6

40.6

40.6

0.0

0.0

0.0

40.6

42.6

40.6

0.0

0.0

0.0

40.6

40.6

42.6

0.0

0.0

0.0

0.0

0.0

0.0

9.9

0.0

0.0

0.0

0.0

0.0

0.0

9.9

0.0

0.0

0.0

0.0

0.0

0.0

9.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.808

3.451

3.451

5.779

90.0

90.0

120.0

DFT

29.809

3.446

3.446

5.796

90.0

90.0

120.0

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

1

2

3

4

5

6

62.7

40.6

21.5

0.0

0.0

0.0

40.6

62.7

21.5

0.0

0.0

0.0

21.5

21.5

79.0

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

3.7

0.0

0.0

0.0

0.0

0.0

0.0

11.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.788

7.803

7.803

4.728

90.0

90.0

90.0

DFT

28.814

7.859

7.859

4.665

90.0

90.0

90.0

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

1

2

3

4

5

6

62.6

44.2

50.2

0.0

0.0

-4.0

44.2

62.6

50.2

0.0

0.0

4.0

50.2

50.2

52.6

0.0

0.0

0.0

0.0

0.0

0.0

20.8

0.0

0.0

0.0

0.0

0.0

0.0

20.8

0.0

-4.0

4.0

0.0

0.0

0.0

9.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.884

4.951

4.951

10.079

90.0

90.0

90.0

DFT

30.929

4.988

4.988

9.944

90.0

90.0

90.0

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

1

2

3

4

5

6

47.3

43.6

42.2

0.0

0.0

0.0

43.6

47.3

42.2

0.0

0.0

0.0

42.2

42.2

56.5

0.0

0.0

0.0

0.0

0.0

0.0

18.6

0.0

0.0

0.0

0.0

0.0

0.0

18.6

0.0

0.0

0.0

0.0

0.0

0.0

20.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.787

3.906

3.906

3.906

90.0

90.0

90.0

DFT

29.844

3.908

3.908

3.908

90.0

90.0

90.0

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

1

2

3

4

5

6

37.9

55.5

55.5

0.0

0.0

0.0

55.5

37.9

55.5

0.0

0.0

0.0

55.5

55.5

37.9

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

13.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.066

4.881

4.881

4.881

90.0

90.0

90.0

DFT

28.982

4.876

4.876

4.876

90.0

90.0

90.0

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

1

2

3

4

5

6

53.6

51.3

51.3

0.0

0.0

0.0

51.3

53.6

51.3

0.0

0.0

0.0

51.3

51.3

53.6

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

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.381

5.009

4.182

8.703

90.0

90.0

90.0

DFT

30.585

4.69

4.69

8.341

90.0

90.0

90.0

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

1

2

3

4

5

6

82.5

48.2

52.3

0.0

0.1

0.0

48.2

44.6

40.9

0.0

0.0

0.0

52.3

40.9

52.1

0.0

0.0

0.0

0.0

0.0

0.0

5.5

0.0

0.0

0.1

0.0

0.0

0.0

-19305.3

0.0

0.0

0.0

0.0

0.0

0.0

18.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.923

5.035

5.035

19.519

90.0

90.0

90.0

DFT

30.938

4.992

4.992

19.868

90.0

90.0

90.0

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

1

2

3

4

5

6

56.2

45.4

44.6

0.0

0.0

0.0

45.4

56.2

44.6

0.0

0.0

0.0

44.6

44.6

43.1

0.0

0.0

0.0

0.0

0.0

0.0

20.8

0.0

0.0

0.0

0.0

0.0

0.0

20.8

0.0

0.0

0.0

0.0

0.0

0.0

15.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.407

6.242

6.242

6.242

90.0

90.0

90.0

DFT

30.395

6.242

6.242

6.242

90.0

90.0

90.0

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

1

2

3

4

5

6

23.3

61.1

61.1

0.0

0.0

0.0

61.1

23.3

61.1

0.0

0.0

0.0

61.1

61.1

23.3

0.0

0.0

0.0

0.0

0.0

0.0

-297.3

0.0

0.0

0.0

0.0

0.0

0.0

-299.1

0.0

0.0

0.0

0.0

0.0

0.0

-301.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.132

7.061

12.584

3.504

90.0

90.0

90.0

DFT

30.92

9.332

9.332

3.551

90.0

90.0

90.0

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

1

2

3

4

5

6

61.4

46.7

36.3

0.0

0.0

0.0

46.7

38.4

32.8

0.0

0.0

0.0

36.3

32.8

48.7

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

4.9

0.0

0.0

0.0

0.0

0.0

0.0

4.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.609

6.85

6.85

5.632

90.0

90.0

120.0

DFT

28.773

6.841

6.841

5.679

90.0

90.0

120.0

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

1

2

3

4

5

6

45.6

45.1

37.5

0.0

0.0

0.0

45.1

45.6

37.5

0.0

0.0

0.0

37.5

37.5

72.6

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

0.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.619

3.416

17.074

9.449

90.0

90.0

90.0

DFT

30.707

3.444

16.515

9.719

90.0

90.0

90.0

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

1

2

3

4

5

6

67.4

27.9

34.3

0.0

0.0

0.0

27.9

44.4

35.0

0.0

0.0

0.0

34.3

35.0

56.1

0.0

0.0

0.0

0.0

0.0

0.0

-1.1

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

6.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.778

4.712

4.712

8.588

90.0

90.0

90.0

DFT

31.996

4.776

4.776

8.415

90.0

90.0

90.0

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

1

2

3

4

5

6

40.4

46.2

33.7

0.0

0.0

0.0

46.2

38.8

33.0

0.0

0.0

0.0

33.7

33.0

57.7

0.0

0.0

0.0

0.0

0.0

0.0

-1.5

0.0

0.0

0.0

0.0

0.0

0.0

-1.5

0.0

0.0

0.0

0.0

0.0

0.0

27.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.624

6.997

6.997

5.779

90.0

90.0

120.0

DFT

30.847

6.983

6.983

5.843

90.0

90.0

120.0

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

1

2

3

4

5

6

63.0

45.7

33.7

0.0

0.0

0.0

45.7

63.0

33.7

0.0

0.0

0.0

33.7

33.7

72.0

0.0

0.0

0.0

0.0

0.0

0.0

2.4

0.0

0.0

0.0

0.0

0.0

0.0

2.4

0.0

0.0

0.0

0.0

0.0

0.0

8.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.121

7.034

7.034

11.622

90.0

90.0

120.0

DFT

30.958

7.022

7.022

11.6

90.0

90.0

120.0

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

1

2

3

4

5

6

61.2

39.0

33.1

0.0

0.0

0.0

39.0

61.2

33.1

0.0

0.0

0.0

33.1

33.1

68.8

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

11.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.427

3.44

14.042

10.965

90.0

90.0

90.0

DFT

29.619

3.431

14.178

10.96

90.0

90.0

90.0

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

1

2

3

4

5

6

52.0

30.9

32.6

0.0

0.0

0.0

30.9

50.5

41.3

0.0

0.0

0.0

32.6

41.3

57.1

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

5.6

0.0

0.0

0.0

0.0

0.0

0.0

5.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.021

8.014

8.014

4.83

90.0

90.0

90.0

DFT

31.071

7.906

7.906

4.971

90.0

90.0

90.0

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

1

2

3

4

5

6

61.1

38.9

43.5

0.0

0.0

-3.3

38.9

61.1

43.5

0.0

0.0

3.3

43.5

43.5

45.0

0.0

0.0

0.0

0.0

0.0

0.0

20.9

0.0

0.0

0.0

0.0

0.0

0.0

20.9

0.0

-3.3

3.3

0.0

0.0

0.0

14.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.954

6.459

6.459

9.948

90.0

90.0

120.0

DFT

30.101

6.455

6.455

10.011

90.0

90.0

120.0

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

1

2

3

4

5

6

27.5

41.1

47.9

0.0

0.0

0.1

41.1

27.5

48.0

0.0

0.0

0.0

47.9

48.0

71.9

0.0

0.0

0.0

0.0

0.0

0.0

12.9

0.0

0.0

0.0

0.0

0.0

0.0

12.9

0.0

0.1

0.0

0.0

0.0

0.0

-6.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.742

6.035

6.035

8.772

90.0

90.0

120.0

DFT

30.83

6.02

6.02

8.84

90.0

90.0

120.0

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

1

2

3

4

5

6

72.1

50.1

40.1

0.0

0.0

0.0

50.1

72.1

40.1

0.0

0.0

0.0

40.1

40.1

83.6

0.0

0.0

0.0

0.0

0.0

0.0

-2.6

0.0

0.0

0.0

0.0

0.0

0.0

-2.6

0.0

0.0

0.0

0.0

0.0

0.0

11.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.806

7.899

7.899

7.899

90.0

90.0

90.0

DFT

30.789

7.898

7.898

7.898

90.0

90.0

90.0

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

1

2

3

4

5

6

32.5

46.2

46.2

0.0

0.0

0.0

46.2

32.5

46.2

0.0

0.0

0.0

46.2

46.2

32.5

0.0

0.0

0.0

0.0

0.0

0.0

18.1

0.0

0.0

0.0

0.0

0.0

0.0

18.1

0.0

0.0

0.0

0.0

0.0

0.0

18.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.587

5.617

5.617

6.716

90.0

90.0

120.0

DFT

30.626

5.61

5.61

6.742

90.0

90.0

120.0

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

1

2

3

4

5

6

54.7

46.9

28.5

0.0

0.0

0.0

46.9

54.7

28.5

0.0

0.0

0.0

28.5

28.5

77.7

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

3.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.939

4.983

4.983

4.983

90.0

90.0

90.0

DFT

30.891

4.981

4.981

4.981

90.0

90.0

90.0

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

1

2

3

4

5

6

55.0

47.2

47.2

0.0

0.0

0.0

47.2

55.0

47.2

0.0

0.0

0.0

47.2

47.2

55.0

0.0

0.0

0.0

0.0

0.0

0.0

18.4

0.0

0.0

0.0

0.0

0.0

0.0

18.4

0.0

0.0

0.0

0.0

0.0

0.0

18.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.909

3.469

3.469

11.481

90.0

90.0

120.0

DFT

29.981

3.468

3.468

11.512

90.0

90.0

120.0

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

1

2

3

4

5

6

64.1

43.0

32.1

0.0

0.0

0.0

43.0

64.1

32.1

0.0

0.0

0.0

32.1

32.1

66.9

0.0

0.0

0.0

0.0

0.0

0.0

7.6

0.0

0.0

0.0

0.0

0.0

0.0

7.6

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

28.978

4.974

4.974

9.371

90.0

90.0

90.0

DFT

28.996

4.877

4.877

9.753

90.0

90.0

90.0

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

1

2

3

4

5

6

51.3

47.6

44.2

0.0

0.0

0.0

47.6

51.3

44.2

0.0

0.0

0.0

44.2

44.2

59.3

0.0

0.0

0.0

0.0

0.0

0.0

21.6

0.0

0.0

0.0

0.0

0.0

0.0

21.6

0.0

0.0

0.0

0.0

0.0

0.0

8.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.493

8.544

8.544

4.314

90.0

90.0

90.0

DFT

31.511

8.564

8.564

4.297

90.0

90.0

90.0

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

1

2

3

4

5

6

45.6

48.5

41.0

0.0

0.0

0.0

48.5

45.6

41.0

0.0

0.0

0.0

41.0

41.0

54.4

0.0

0.0

0.0

0.0

0.0

0.0

15.7

0.0

0.0

0.0

0.0

0.0

0.0

15.7

0.0

0.0

0.0

0.0

0.0

0.0

9.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.36

7.447

7.447

8.334

90.0

90.0

120.0

DFT

32.733

6.69

6.69

10.134

90.0

90.0

120.0

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

1

2

3

4

5

6

42.9

38.9

47.5

0.0

0.0

0.0

38.9

42.9

47.5

0.0

0.0

0.0

47.5

47.5

64.6

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

2.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.497

5.956

5.956

8.642

90.0

90.0

120.0

DFT

29.543

5.94

5.94

8.702

90.0

90.0

120.0

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

1

2

3

4

5

6

69.7

45.0

36.4

0.0

0.0

0.0

45.0

69.7

36.4

0.0

0.0

0.0

36.4

36.4

87.7

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

12.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.798

7.812

7.812

7.812

90.0

90.0

90.0

DFT

29.741

7.807

7.807

7.807

90.0

90.0

90.0

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

1

2

3

4

5

6

31.4

37.5

37.5

0.0

0.0

0.0

37.5

31.4

37.5

0.0

0.0

0.0

37.5

37.5

31.4

0.0

0.0

0.0

0.0

0.0

0.0

14.2

0.0

0.0

0.0

0.0

0.0

0.0

14.2

0.0

0.0

0.0

0.0

0.0

0.0

14.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.793

6.892

6.892

11.2

90.0

90.0

120.0

DFT

28.942

6.889

6.889

11.266

90.0

90.0

120.0

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

1

2

3

4

5

6

51.1

44.0

38.0

0.0

0.0

0.0

44.0

51.1

38.0

0.0

0.0

0.0

38.0

38.0

58.8

0.0

0.0

0.0

0.0

0.0

0.0

5.4

0.0

0.0

0.0

0.0

0.0

0.0

5.4

0.0

0.0

0.0

0.0

0.0

0.0

3.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.864

4.999

4.999

18.479

90.0

90.0

90.0

DFT

28.998

4.895

4.895

19.365

90.0

90.0

90.0

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

1

2

3

4

5

6

53.4

43.4

40.2

0.0

0.0

0.0

43.4

53.4

40.2

0.0

0.0

0.0

40.2

40.2

49.1

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

6.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.923

3.494

3.494

4.903

90.0

90.0

90.0

DFT

29.972

3.472

3.472

4.974

90.0

90.0

90.0

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

1

2

3

4

5

6

69.0

31.2

39.1

0.0

0.0

0.0

31.2

69.0

39.1

0.0

0.0

0.0

39.1

39.1

48.3

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

1.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.809

7.725

7.725

7.725

90.0

90.0

90.0

DFT

28.661

7.711

7.711

7.711

90.0

90.0

90.0

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

1

2

3

4

5

6

41.2

48.5

48.5

0.0

0.0

0.0

48.5

41.2

48.5

0.0

0.0

0.0

48.5

48.5

41.2

0.0

0.0

0.0

0.0

0.0

0.0

19.7

0.0

0.0

0.0

0.0

0.0

0.0

19.7

0.0

0.0

0.0

0.0

0.0

0.0

19.7