pair-60 (Be-Al-2022-07-21)

Energy distribution

../../../../_images/distribution247.png

Convex hull (formation energy)

../../../../_images/convex247.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Be

1.0

0.0

Al

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-sep247.png

Prototype structure energy

../../../../_images/icsd-pred247.png

Phonon density of states

../../../../_images/dos247.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-10-[Fe6Ge6Mg]

-3.5781

-3.58153

icsd-409859-01-[La2Sb]

-3.54633

-3.54642

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

-3.54425

-3.54409

icsd-246555-01-[Co2Nd]

-3.5338

-3.53413

icsd-610464-01-[PbClF/Cu2Sb]

-3.50859

-3.50851

icsd-104506-10-[Ni3Sn]

-3.48194

-3.48856

icsd-42773-01-[IrGe4]

-3.47184

-3.46421

icsd-30446-01-[Fe2B]

-3.45841

-3.459

icsd-638227-10-[Fluorite-CaF2]

-3.45635

-3.45628

icsd-248490-10-[Pt2Si]

-3.45635

-3.45613

icsd-169457-10-[ZrH2]

-3.4563

-3.45613

icsd-105521-01-[Al5W]

-3.41775

-3.41707

icsd-260285-10-[UCl3]

-3.41364

-3.41331

icsd-107998-01-[MoNi4]

-3.40056

-3.40037

icsd-97006-01-[InMg2]

-3.3852

-3.38626

icsd-97006-10-[InMg2]

-3.37792

-3.37851

icsd-58607-10-[Au2Ti]

-3.37731

-3.37561

icsd-652553-10-[AlCr2-MoSi2]

-3.37731

-3.3756

icsd-58471-01-[CuZr2]

-3.37724

-3.37561

icsd-629406-10-[Cu4Ti3]

-3.37499

-3.37796

icsd-161109-01-[CoSn]

-3.3714

-3.37191

icsd-649037-10-[Ni3Ti]

-3.37082

-3.36689

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

-3.37001

-3.36951

icsd-640726-01-[CuSmP2]

-3.36873

-3.36663

icsd-416747-10-[Al3Zr]

-3.36873

-3.36663

icsd-643301-10-[Au3Cd]

-3.36871

-3.36664

icsd-69199-10-[U3Si]

-3.36845

-3.36635

icsd-181127-01-[Auricupride-AuCu3]

-3.36845

-3.36648

icsd-99787-01-[Fe3Pt]

-3.36845

-3.36647

icsd-648572-10-[CuInPt2]

-3.36845

-3.36648

icsd-609153-10-[AlPt3]

-3.36845

-3.36635

icsd-167735-01-[Ru2B3]

-3.36616

-3.36595

icsd-105191-10-[Al3Ti]

-3.36522

-3.36487

icsd-420250-10-[LiPd2Tl]

-3.36522

-3.36487

icsd-105726-01-[Pd5Ti3]

-3.36416

-3.36397

icsd-639227-10-[Si2U3]

-3.36096

-3.36356

icsd-629406-01-[Cu4Ti3]

-3.35711

-3.3553

icsd-107998-10-[MoNi4]

-3.35601

-3.35727

icsd-629380-10-[Al3Os2]

-3.35476

-3.35418

icsd-610464-10-[PbClF/Cu2Sb]

-3.35262

-3.3558

icsd-239-10-[Cu3Se2]

-3.34986

-3.35029

icsd-648748-10-[Pd4Se]

-3.34697

-3.34766

icsd-643301-01-[Au3Cd]

-3.3441

-3.34213

icsd-640726-10-[CuSmP2]

-3.34402

-3.34215

icsd-416747-01-[Al3Zr]

-3.34402

-3.34215

icsd-16606-10-[Nb3Te4]

-3.34379

-3.34659

icsd-648572-01-[CuInPt2]

-3.3437

-3.34188

icsd-99787-10-[Fe3Pt]

-3.3437

-3.34188

icsd-181127-10-[Auricupride-AuCu3]

-3.3437

-3.34188

icsd-609153-01-[AlPt3]

-3.34369

-3.34207

icsd-69199-01-[U3Si]

-3.34369

-3.34207

icsd-105191-01-[Al3Ti]

-3.34293

-3.34162

icsd-420250-01-[LiPd2Tl]

-3.34293

-3.34162

icsd-611176-01-[Fe2P]

-3.34137

-3.3572

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

-3.34017

-3.33991

icsd-103995-10-[Ga3Ti2]

-3.33996

-3.34251

icsd-105521-10-[Al5W]

-3.33638

-3.33637

icsd-652553-01-[AlCr2-MoSi2]

-3.33481

-3.33482

icsd-58607-01-[Au2Ti]

-3.3348

-3.33482

icsd-58471-10-[CuZr2]

-3.33458

-3.33488

icsd-629380-01-[Al3Os2]

-3.33378

-3.33345

icsd-150584-01-[Fe13Ge3]

-3.33356

-3.33485

icsd-105726-10-[Pd5Ti3]

-3.33216

-3.33243

icsd-155842-10-[Co5Fe11]

-3.33106

-3.33177

icsd-16504-10-[CrSi2]

-3.33076

-3.33059

icsd-59586-10-[Pd5Th3]

-3.32497

-3.32596

icsd-106325-01-[BiIn]

-3.32443

-3.32401

icsd-108707-01-[HgMn]

-3.32443

-3.32398

icsd-59508-01-[AuCu]

-3.32443

-3.32398

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

-3.32443

-3.32398

icsd-42428-01-[Fe3Pt]

-3.32442

-3.32398

icsd-5258-01-[FeSi2]

-3.32294

-3.32399

icsd-103995-01-[Ga3Ti2]

-3.32289

-3.32229

icsd-639879-01-[In5In4]

-3.31823

-3.32441

icsd-649037-01-[Ni3Ti]

-3.31663

-3.32475

icsd-240119-01-[AlLi]

-3.31554

-3.31522

icsd-611457-01-[NbAs]

-3.31546

-3.31523

icsd-105636-01-[PbU]

-3.31546

-3.31523

icsd-639037-01-[HgIn]

-3.31277

-3.31234

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

-3.31277

-3.31234

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

-3.31275

-3.31234

icsd-100654-01-[BiSe]

-3.31212

-3.31145

icsd-102712-01-[CoU]

-3.30909

-3.31543

icsd-409859-10-[La2Sb]

-3.30563

-3.30589

icsd-104506-01-[Ni3Sn]

-3.30475

-3.30772

icsd-260285-01-[UCl3]

-3.30467

-3.3079

icsd-185626-10-[Al3Ni2]

-3.30146

-3.29482

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

-3.29966

-3.29912

icsd-42773-10-[IrGe4]

-3.29592

-3.30928

icsd-16504-01-[CrSi2]

-3.28857

-3.28844

icsd-635208-10-[CoGa3]

-3.28638

-3.29614

icsd-106786-10-[Hg2Pt]

-3.28109

-3.27834

icsd-650527-01-[CsCl]

-3.2797

-3.28049

icsd-105948-01-[InNi2]

-3.27895

-3.28182

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

-3.27895

-3.28182

icsd-239-01-[Cu3Se2]

-3.27648

-3.27699

icsd-639879-10-[In5In4]

-3.27545

-3.27527

icsd-155842-01-[Co5Fe11]

-3.2728

-3.27692

icsd-16606-01-[Nb3Te4]

-3.27193

-3.29349

icsd-635060-01-[Fersilicite-FeSi]

-3.2704

-3.2706

icsd-59586-01-[Pd5Th3]

-3.26974

-3.27188

icsd-189695-10-[CuHg2Ti]

-3.26917

-3.26788

icsd-188260-01-[Heusler-AlCu2Mn]

-3.26917

-3.26788

icsd-648748-01-[Pd4Se]

-3.26227

-3.26432

icsd-150584-10-[Fe13Ge3]

-3.26054

-3.25396

icsd-618702-01-[ScTe]

-3.2602

-3.25818

icsd-611618-01-[TiAs]

-3.26018

-3.25818

icsd-635642-01-[Hg5Mn2]

-3.25765

-3.26963

icsd-635642-10-[Hg5Mn2]

-3.25404

-3.24639

icsd-188260-10-[Heusler-AlCu2Mn]

-3.23935

-3.23287

icsd-189695-01-[CuHg2Ti]

-3.23934

-3.23287

icsd-644708-01-[WC]

-3.23451

-3.23457

icsd-659856-01-[LiPt]

-3.23449

-3.23456

icsd-618295-01-[MoC1-x]

-3.22844

-3.22813

icsd-626692-01-[Nickeline-NiAs]

-3.22495

-3.22617

icsd-168897-01-[LaI]

-3.22495

-3.22617

icsd-424636-10-[MnGa4]

-3.21838

-3.21735

icsd-108762-10-[Hg4Pt]

-3.21838

-3.21735

icsd-639148-10-[NiHg4]

-3.21838

-3.21735

icsd-611176-10-[Fe2P]

-3.21815

-3.24035

icsd-659829-10-[Al2Li3]

-3.2003

-3.199

icsd-58745-01-[Fe6Ge6Mg]

-3.1991

-3.20529

icsd-167735-10-[Ru2B3]

-3.19585

-3.19511

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

-3.19516

-3.19536

icsd-105948-10-[InNi2]

-3.19516

-3.19536

icsd-659829-01-[Al2Li3]

-3.18061

-3.17814

icsd-103775-01-[NaTl]

-3.15976

-3.15705

icsd-73839-01-[Ni3S2]

-3.13551

-3.12905

icsd-5258-10-[FeSi2]

-3.12689

-3.12779

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

-3.12626

-3.12434

icsd-185626-01-[Al3Ni2]

-3.12516

-3.12384

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

-3.10057

-3.09938

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

-3.07861

-3.07873

icsd-639227-01-[Si2U3]

-3.07814

-3.07791

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

-3.05553

-3.05689

icsd-638227-01-[Fluorite-CaF2]

-3.05521

-3.05496

icsd-169457-01-[ZrH2]

-3.05519

-3.05484

icsd-248490-01-[Pt2Si]

-3.05519

-3.05484

icsd-106786-01-[Hg2Pt]

-3.00752

-3.00807

icsd-73839-10-[Ni3S2]

-3.00416

-2.98825

icsd-55492-01-[BaPt]

-3.00339

-3.00194

icsd-635208-01-[CoGa3]

-2.96311

-2.97132

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

-2.95434

-2.95668

icsd-30446-10-[Fe2B]

-2.95291

-2.95267

icsd-181788-01-[NaCl]

-2.90437

-2.904

icsd-42472-01-[CoO]

-2.90437

-2.90396

icsd-246555-10-[Co2Nd]

-2.89801

-2.8987

icsd-639148-01-[NiHg4]

-2.67346

-2.67344

icsd-108762-01-[Hg4Pt]

-2.67346

-2.67344

icsd-424636-01-[MnGa4]

-2.67346

-2.67344

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.605

5.864

5.864

5.864

90.0

90.0

90.0

DFT

12.537

5.854

5.854

5.854

90.0

90.0

90.0

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

1

2

3

4

5

6

50.7

112.5

112.5

0.0

0.0

0.0

112.5

50.7

112.5

0.0

0.0

0.0

112.5

112.5

50.7

0.0

0.0

0.0

0.0

0.0

0.0

22.9

0.0

0.0

0.0

0.0

0.0

0.0

22.9

0.0

0.0

0.0

0.0

0.0

0.0

22.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.59

4.633

3.64

4.279

90.0

90.0

118.28

DFT

11.383

4.051

4.051

4.806

90.0

90.0

120.0

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

1

2

3

4

5

6

126.3

76.4

54.6

0.0

0.0

32.8

76.4

265.9

46.4

0.0

0.0

-32.0

54.6

46.4

216.9

0.0

0.0

-7.7

0.0

0.0

0.0

89.1

-3.2

0.0

0.0

0.0

0.0

-3.2

34.7

0.0

32.8

-32.0

-7.7

0.0

0.0

80.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.885

2.696

2.696

4.095

90.0

90.0

120.0

DFT

12.831

2.722

2.722

3.999

90.0

90.0

120.0

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

1

2

3

4

5

6

199.9

124.9

128.0

0.0

0.0

0.0

124.9

199.9

128.0

0.0

0.0

0.0

128.0

128.0

187.1

0.0

0.0

0.0

0.0

0.0

0.0

39.5

0.0

0.0

0.0

0.0

0.0

0.0

39.5

0.0

0.0

0.0

0.0

0.0

0.0

37.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.114

5.417

5.417

3.447

90.0

90.0

90.0

DFT

10.08

5.403

5.403

3.452

90.0

90.0

90.0

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

1

2

3

4

5

6

143.8

65.6

43.7

0.0

0.0

16.3

65.6

143.8

43.7

0.0

0.0

-16.3

43.7

43.7

203.5

0.0

0.0

0.0

0.0

0.0

0.0

24.4

0.0

0.0

0.0

0.0

0.0

0.0

24.4

0.0

16.3

-16.3

0.0

0.0

0.0

28.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.637

3.893

3.893

7.726

90.0

90.0

90.0

DFT

14.622

3.885

3.885

7.75

90.0

90.0

90.0

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

1

2

3

4

5

6

151.7

77.8

41.2

0.0

0.0

0.0

77.8

151.7

41.2

0.0

0.0

0.0

41.2

41.2

151.2

0.0

0.0

0.0

0.0

0.0

0.0

65.9

0.0

0.0

0.0

0.0

0.0

0.0

65.9

0.0

0.0

0.0

0.0

0.0

0.0

75.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.377

2.914

2.914

2.914

90.0

90.0

90.0

DFT

12.332

2.911

2.911

2.911

90.0

90.0

90.0

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

1

2

3

4

5

6

139.1

164.9

164.9

0.0

0.0

0.0

164.9

139.1

164.9

0.0

0.0

0.0

164.9

164.9

139.1

0.0

0.0

0.0

0.0

0.0

0.0

75.8

0.0

0.0

0.0

0.0

0.0

0.0

75.8

0.0

0.0

0.0

0.0

0.0

0.0

75.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.505

3.477

3.477

3.477

90.0

90.0

90.0

DFT

10.537

3.48

3.48

3.48

90.0

90.0

90.0

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

1

2

3

4

5

6

289.8

39.8

39.8

0.0

0.0

0.0

39.8

289.8

39.8

0.0

0.0

0.0

39.8

39.8

289.8

0.0

0.0

0.0

0.0

0.0

0.0

24.5

0.0

0.0

0.0

0.0

0.0

0.0

24.5

0.0

0.0

0.0

0.0

0.0

0.0

24.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

11.069

3.488

3.488

5.461

90.0

90.0

90.0

DFT

11.107

3.475

3.475

5.52

90.0

90.0

90.0

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

1

2

3

4

5

6

201.5

9.1

103.8

0.0

0.0

0.0

9.1

201.5

103.8

0.0

0.0

0.0

103.8

103.8

349.8

0.0

0.0

0.0

0.0

0.0

0.0

118.4

0.0

0.0

0.0

0.0

0.0

0.0

118.4

0.0

0.0

0.0

0.0

0.0

0.0

110.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.641

3.901

3.901

15.393

90.0

90.0

90.0

DFT

14.628

3.889

3.889

15.478

90.0

90.0

90.0

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

1

2

3

4

5

6

151.3

68.9

77.9

0.0

0.0

0.0

68.9

151.3

77.9

0.0

0.0

0.0

77.9

77.9

244.1

0.0

0.0

0.0

0.0

0.0

0.0

60.0

0.0

0.0

0.0

0.0

0.0

0.0

60.0

0.0

0.0

0.0

0.0

0.0

0.0

53.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.836

4.683

4.683

4.683

90.0

90.0

90.0

DFT

12.762

4.674

4.674

4.674

90.0

90.0

90.0

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

1

2

3

4

5

6

140.7

82.5

82.5

0.0

0.0

0.0

82.5

140.7

82.5

0.0

0.0

0.0

82.5

82.5

140.7

0.0

0.0

0.0

0.0

0.0

0.0

-305570.6

0.0

0.0

0.0

0.0

0.0

0.0

-305570.2

0.0

0.0

0.0

0.0

0.0

0.0

-305570.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

13.005

7.277

7.277

2.456

90.0

90.0

90.0

DFT

13.105

7.315

7.315

2.449

90.0

90.0

90.0

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

1

2

3

4

5

6

-574573.2

574769.9

27.1

0.0

0.0

0.0

574769.9

-574573.2

27.1

0.0

0.0

0.0

27.1

27.1

175.4

0.0

0.0

0.0

0.0

0.0

0.0

32.9

0.0

0.0

0.0

0.0

0.0

0.0

32.9

0.0

0.0

0.0

0.0

0.0

0.0

19.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.244

4.534

10.089

3.583

90.0

90.0

90.0

DFT

10.386

4.543

10.089

3.625

90.0

90.0

90.0

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

1

2

3

4

5

6

233.4

71.5

30.1

0.0

0.0

0.0

71.5

203.3

22.8

0.0

0.0

0.0

30.1

22.8

364.2

0.0

0.0

0.0

0.0

0.0

0.0

69.9

0.0

0.0

0.0

0.0

0.0

0.0

166.3

0.0

0.0

0.0

0.0

0.0

0.0

104.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

13.752

2.878

12.206

7.047

90.0

90.0

90.0

DFT

13.786

2.864

12.237

7.081

90.0

90.0

90.0

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

1

2

3

4

5

6

116.8

82.3

82.3

0.0

0.0

0.0

82.3

139.5

73.5

0.0

0.0

0.0

82.3

73.5

139.5

0.0

0.0

0.0

0.0

0.0

0.0

33.0

0.0

0.0

0.0

0.0

0.0

0.0

46.3

0.0

0.0

0.0

0.0

0.0

0.0

46.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.47

3.713

3.713

6.297

90.0

90.0

90.0

DFT

14.384

3.707

3.707

6.281

90.0

90.0

90.0

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

1

2

3

4

5

6

180.9

59.0

30.6

0.0

0.0

0.0

59.0

180.9

30.6

0.0

0.0

0.0

30.6

30.6

121.2

0.0

0.0

0.0

0.0

0.0

0.0

59.4

0.0

0.0

0.0

0.0

0.0

0.0

59.4

0.0

0.0

0.0

0.0

0.0

0.0

52.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.319

5.584

9.671

4.242

90.0

90.0

90.0

DFT

14.595

5.492

9.496

4.477

90.0

90.0

90.0

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

1

2

3

4

5

6

113.6

54.9

49.4

0.0

0.0

0.0

54.9

113.6

49.4

0.0

0.0

0.0

49.4

49.4

105.3

0.0

0.0

0.0

0.0

0.0

0.0

23.2

0.0

0.0

0.0

0.0

0.0

0.0

23.2

0.0

0.0

0.0

0.0

0.0

0.0

29.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.394

5.539

5.539

8.67

90.0

90.0

120.0

DFT

14.653

5.494

5.494

8.969

90.0

90.0

120.0

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

1

2

3

4

5

6

135.2

61.3

63.2

0.0

0.0

0.0

61.3

135.2

63.2

0.0

0.0

0.0

63.2

63.2

111.2

0.0

0.0

0.0

0.0

0.0

0.0

28.1

0.0

0.0

0.0

0.0

0.0

0.0

28.1

0.0

0.0

0.0

0.0

0.0

0.0

36.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.003

2.545

15.02

5.654

88.49

90.0

90.0

DFT

12.204

2.481

14.48

6.114

90.0

90.0

90.0

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

1

2

3

4

5

6

209.3

68.1

69.4

9.5

0.0

0.0

68.1

184.8

64.4

-6.3

0.0

0.0

69.4

64.4

117.9

-8.8

0.0

0.0

9.5

-6.3

-8.8

40.2

0.0

0.0

0.0

0.0

0.0

0.0

53.8

-10.2

0.0

0.0

0.0

0.0

-10.2

44.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.025

6.277

6.277

3.814

90.0

90.0

90.0

DFT

14.997

6.182

6.182

3.924

90.0

90.0

90.0

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

1

2

3

4

5

6

147.5

82.6

94.8

0.0

0.0

-17.0

82.6

147.5

94.8

0.0

0.0

17.0

94.8

94.8

163.4

0.0

0.0

0.0

0.0

0.0

0.0

56.7

0.0

0.0

0.0

0.0

0.0

0.0

56.7

0.0

-17.0

17.0

0.0

0.0

0.0

37.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.411

4.451

4.451

7.283

90.0

90.0

120.0

DFT

10.489

4.415

4.415

7.457

90.0

90.0

120.0

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

1

2

3

4

5

6

301.9

117.6

135.0

0.0

0.0

0.0

117.6

301.9

135.0

0.0

0.0

0.0

135.0

135.0

262.2

0.0

0.0

0.0

0.0

0.0

0.0

75.0

0.0

0.0

0.0

0.0

0.0

0.0

75.0

0.0

0.0

0.0

0.0

0.0

0.0

92.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.023

4.66

4.66

6.71

90.0

90.0

120.0

DFT

14.211

4.64

4.64

6.861

90.0

90.0

120.0

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

1

2

3

4

5

6

153.7

73.0

66.8

0.0

0.0

0.0

73.0

153.7

66.8

0.0

0.0

0.0

66.8

66.8

170.4

0.0

0.0

0.0

0.0

0.0

0.0

30.9

0.0

0.0

0.0

0.0

0.0

0.0

30.9

0.0

0.0

0.0

0.0

0.0

0.0

40.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.94

6.206

6.206

6.206

90.0

90.0

90.0

DFT

14.788

6.185

6.185

6.185

90.0

90.0

90.0

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

1

2

3

4

5

6

143.1

129.7

129.7

0.0

0.0

0.0

129.7

143.1

129.7

0.0

0.0

0.0

129.7

129.7

143.1

0.0

0.0

0.0

0.0

0.0

0.0

-1.7

0.0

0.0

0.0

0.0

0.0

0.0

-1.7

0.0

0.0

0.0

0.0

0.0

0.0

-1.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.296

4.623

4.623

5.356

90.0

90.0

131.48

DFT

13.845

4.225

4.225

5.374

90.0

90.0

120.0

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

1

2

3

4

5

6

112.3

56.8

67.8

0.0

0.0

18.8

56.8

179.4

65.4

0.0

0.0

19.2

67.8

65.4

126.0

0.0

0.0

-1.4

0.0

0.0

0.0

12.0

6.0

0.0

0.0

0.0

0.0

6.0

1.4

0.0

18.8

19.2

-1.4

0.0

0.0

44.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.665

3.885

3.885

3.885

90.0

90.0

90.0

DFT

14.612

3.881

3.881

3.881

90.0

90.0

90.0

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

1

2

3

4

5

6

149.1

52.1

52.1

0.0

0.0

0.0

52.1

149.1

52.1

0.0

0.0

0.0

52.1

52.1

149.1

0.0

0.0

0.0

0.0

0.0

0.0

61.0

0.0

0.0

0.0

0.0

0.0

0.0

61.0

0.0

0.0

0.0

0.0

0.0

0.0

61.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

13.042

2.768

2.768

7.86

90.0

90.0

120.0

DFT

12.972

2.735

2.735

8.012

90.0

90.0

120.0

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

1

2

3

4

5

6

77.5

71.7

87.4

0.0

0.0

0.0

71.7

77.5

87.4

0.0

0.0

0.0

87.4

87.4

216.3

0.0

0.0

0.0

0.0

0.0

0.0

21.0

0.0

0.0

0.0

0.0

0.0

0.0

21.0

0.0

0.0

0.0

0.0

0.0

0.0

2.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.623

3.487

3.487

6.988

90.0

90.0

90.0

DFT

10.561

3.484

3.484

6.959

90.0

90.0

90.0

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

1

2

3

4

5

6

174.1

4.9

29.5

0.0

0.0

0.0

4.9

174.1

29.5

0.0

0.0

0.0

29.5

29.5

318.5

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

22.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

13.46

6.144

6.144

3.566

90.0

90.0

90.0

DFT

13.459

6.089

6.089

3.63

90.0

90.0

90.0

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

1

2

3

4

5

6

163.7

67.2

70.0

0.0

0.0

0.0

67.2

163.7

70.0

0.0

0.0

0.0

70.0

70.0

153.8

0.0

0.0

0.0

0.0

0.0

0.0

49.1

0.0

0.0

0.0

0.0

0.0

0.0

49.1

0.0

0.0

0.0

0.0

0.0

0.0

47.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.07

6.436

4.747

5.532

90.0

90.0

92.54

DFT

16.235

5.191

5.191

8.348

90.0

90.0

120.0

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

1

2

3

4

5

6

135.0

92.6

70.2

0.0

0.0

21.2

92.6

215.2

74.8

0.0

0.0

19.4

70.2

74.8

186.4

0.0

0.0

10.3

0.0

0.0

0.0

49.8

7.6

0.0

0.0

0.0

0.0

7.6

47.4

0.0

21.2

19.4

10.3

0.0

0.0

58.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

11.418

4.333

4.333

6.322

90.0

90.0

120.0

DFT

11.355

4.297

4.297

6.389

90.0

90.0

120.0

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

1

2

3

4

5

6

272.2

144.7

135.7

0.0

0.0

0.0

144.7

272.2

135.7

0.0

0.0

0.0

135.7

135.7

279.3

0.0

0.0

0.0

0.0

0.0

0.0

45.6

0.0

0.0

0.0

0.0

0.0

0.0

45.6

0.0

0.0

0.0

0.0

0.0

0.0

63.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.805

5.895

5.895

5.895

90.0

90.0

90.0

DFT

12.913

5.912

5.912

5.912

90.0

90.0

90.0

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

1

2

3

4

5

6

23.5

80.0

80.0

-201611.6

0.0

0.0

80.0

23.5

80.0

96499.4

0.0

0.0

80.0

80.0

23.5

448.7

0.0

0.0

-201611.6

96499.4

448.7

389361.3

16328.1

73169.0

0.0

0.0

0.0

16328.1

918481.8

0.0

0.0

0.0

0.0

73169.0

0.0

918481.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.253

4.952

4.952

7.726

90.0

90.0

120.0

DFT

10.462

4.843

4.843

8.241

90.0

90.0

120.0

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

1

2

3

4

5

6

204.0

126.7

125.6

0.0

0.0

0.0

126.7

204.0

125.6

0.0

0.0

0.0

125.6

125.6

265.9

0.0

0.0

0.0

0.0

0.0

0.0

54.3

0.0

0.0

0.0

0.0

0.0

0.0

54.3

0.0

0.0

0.0

0.0

0.0

0.0

38.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.628

3.494

3.494

13.929

90.0

90.0

90.0

DFT

10.556

3.484

3.484

13.918

90.0

90.0

90.0

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

1

2

3

4

5

6

231.6

34.3

28.6

0.0

0.0

0.0

34.3

231.6

28.6

0.0

0.0

0.0

28.6

28.6

292.3

0.0

0.0

0.0

0.0

0.0

0.0

36.8

0.0

0.0

0.0

0.0

0.0

0.0

36.8

0.0

0.0

0.0

0.0

0.0

0.0

32.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.675

2.658

2.658

3.587

90.0

90.0

90.0

DFT

12.64

2.655

2.655

3.587

90.0

90.0

90.0

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

1

2

3

4

5

6

213.4

71.2

37.8

0.0

0.0

0.0

71.2

213.4

37.8

0.0

0.0

0.0

37.8

37.8

190.5

0.0

0.0

0.0

0.0

0.0

0.0

46.5

0.0

0.0

0.0

0.0

0.0

0.0

46.5

0.0

0.0

0.0

0.0

0.0

0.0

55.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.529

5.523

5.523

5.523

90.0

90.0

90.0

DFT

10.437

5.507

5.507

5.507

90.0

90.0

90.0

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

1

2

3

4

5

6

121.2

150.7

150.7

0.0

0.0

0.0

150.7

121.2

150.7

0.0

0.0

0.0

150.7

150.7

121.2

0.0

0.0

0.0

0.0

0.0

0.0

-96.2

0.0

0.0

0.0

0.0

0.0

0.0

-96.8

0.0

0.0

0.0

0.0

0.0

0.0

-95.8