pair-50 (Al-In-2022-06-12)

Energy distribution

../../../../_images/distribution135.png

Convex hull (formation energy)

../../../../_images/convex135.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Al

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-sep135.png

Prototype structure energy

../../../../_images/icsd-pred135.png

Phonon density of states

../../../../_images/dos135.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-10-[Fe6Ge6Mg]

-3.23225

-3.24358

icsd-97006-01-[InMg2]

-3.1704

-3.17309

icsd-105521-01-[Al5W]

-3.09744

-3.09887

icsd-167735-01-[Ru2B3]

-3.06928

-3.07014

icsd-107998-01-[MoNi4]

-3.06173

-3.06469

icsd-150584-01-[Fe13Ge3]

-3.01366

-3.02473

icsd-42773-01-[IrGe4]

-2.99358

-3.00828

icsd-416747-10-[Al3Zr]

-2.98156

-2.97907

icsd-643301-10-[Au3Cd]

-2.98154

-2.97911

icsd-640726-01-[CuSmP2]

-2.98134

-2.97893

icsd-649037-10-[Ni3Ti]

-2.9807

-2.97997

icsd-105191-10-[Al3Ti]

-2.98006

-2.97971

icsd-609153-10-[AlPt3]

-2.98006

-2.97865

icsd-69199-10-[U3Si]

-2.98005

-2.97868

icsd-420250-10-[LiPd2Tl]

-2.98004

-2.97971

icsd-648572-10-[CuInPt2]

-2.98003

-2.97928

icsd-181127-01-[Auricupride-AuCu3]

-2.98003

-2.97928

icsd-99787-01-[Fe3Pt]

-2.98001

-2.97927

icsd-104506-10-[Ni3Sn]

-2.97781

-2.97225

icsd-260285-10-[UCl3]

-2.9777

-2.97226

icsd-610464-01-[PbClF/Cu2Sb]

-2.94326

-2.94232

icsd-648748-01-[Pd4Se]

-2.94112

-2.94281

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

-2.9311

-2.93115

icsd-409859-01-[La2Sb]

-2.92521

-2.92549

icsd-246555-01-[Co2Nd]

-2.9178

-2.91833

icsd-189695-10-[CuHg2Ti]

-2.91671

-2.92361

icsd-188260-01-[Heusler-AlCu2Mn]

-2.9167

-2.92361

icsd-58471-10-[CuZr2]

-2.91425

-2.91374

icsd-58607-01-[Au2Ti]

-2.91421

-2.91377

icsd-652553-01-[AlCr2-MoSi2]

-2.91413

-2.91372

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

-2.89989

-2.89996

icsd-155842-01-[Co5Fe11]

-2.88528

-2.87109

icsd-635642-10-[Hg5Mn2]

-2.86592

-2.8726

icsd-105726-10-[Pd5Ti3]

-2.85716

-2.85614

icsd-16504-10-[CrSi2]

-2.85304

-2.85066

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

-2.85029

-2.84978

icsd-59586-10-[Pd5Th3]

-2.84004

-2.83914

icsd-611176-10-[Fe2P]

-2.82884

-2.82819

icsd-629406-01-[Cu4Ti3]

-2.82701

-2.82682

icsd-106786-01-[Hg2Pt]

-2.81923

-2.816

icsd-103995-10-[Ga3Ti2]

-2.80918

-2.80794

icsd-105948-10-[InNi2]

-2.80703

-2.8059

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

-2.80703

-2.8059

icsd-659829-10-[Al2Li3]

-2.79884

-2.79427

icsd-16606-10-[Nb3Te4]

-2.79531

-2.77574

icsd-239-01-[Cu3Se2]

-2.79448

-2.79538

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

-2.78272

-2.78264

icsd-5258-10-[FeSi2]

-2.76638

-2.76654

icsd-639879-01-[In5In4]

-2.74976

-2.74943

icsd-30446-10-[Fe2B]

-2.7217

-2.72222

icsd-73839-01-[Ni3S2]

-2.71979

-2.72369

icsd-638227-01-[Fluorite-CaF2]

-2.70663

-2.70613

icsd-248490-01-[Pt2Si]

-2.70659

-2.70643

icsd-169457-01-[ZrH2]

-2.70659

-2.70644

icsd-635208-01-[CoGa3]

-2.70173

-2.69584

icsd-185626-01-[Al3Ni2]

-2.70012

-2.70899

icsd-100654-01-[BiSe]

-2.69957

-2.6981

icsd-102712-01-[CoU]

-2.69781

-2.68326

icsd-105636-01-[PbU]

-2.68583

-2.68492

icsd-611457-01-[NbAs]

-2.68582

-2.68492

icsd-639227-01-[Si2U3]

-2.68528

-2.68175

icsd-59508-01-[AuCu]

-2.68212

-2.68392

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

-2.68209

-2.68392

icsd-108707-01-[HgMn]

-2.68209

-2.68392

icsd-106325-01-[BiIn]

-2.68094

-2.68183

icsd-42428-01-[Fe3Pt]

-2.68094

-2.68101

icsd-629406-10-[Cu4Ti3]

-2.6808

-2.67631

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

-2.67901

-2.67896

icsd-639037-01-[HgIn]

-2.67901

-2.67896

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

-2.67897

-2.67895

icsd-611618-01-[TiAs]

-2.6772

-2.67772

icsd-618702-01-[ScTe]

-2.6772

-2.67772

icsd-626692-01-[Nickeline-NiAs]

-2.67635

-2.67632

icsd-168897-01-[LaI]

-2.67622

-2.67636

icsd-618295-01-[MoC1-x]

-2.67409

-2.67099

icsd-161109-01-[CoSn]

-2.66971

-2.68197

icsd-644708-01-[WC]

-2.66674

-2.66579

icsd-659856-01-[LiPt]

-2.66671

-2.66582

icsd-239-10-[Cu3Se2]

-2.66468

-2.66604

icsd-650527-01-[CsCl]

-2.65517

-2.65601

icsd-240119-01-[AlLi]

-2.65336

-2.653

icsd-103775-01-[NaTl]

-2.65334

-2.65208

icsd-635060-01-[Fersilicite-FeSi]

-2.64737

-2.64284

icsd-639879-10-[In5In4]

-2.61551

-2.61551

icsd-639227-10-[Si2U3]

-2.61482

-2.61908

icsd-659829-01-[Al2Li3]

-2.61288

-2.61654

icsd-629380-10-[Al3Os2]

-2.60999

-2.60951

icsd-30446-01-[Fe2B]

-2.60513

-2.60815

icsd-103995-01-[Ga3Ti2]

-2.60379

-2.60028

icsd-16606-01-[Nb3Te4]

-2.60197

-2.61866

icsd-105726-01-[Pd5Ti3]

-2.59168

-2.59185

icsd-185626-10-[Al3Ni2]

-2.58517

-2.57991

icsd-59586-01-[Pd5Th3]

-2.57884

-2.58072

icsd-638227-10-[Fluorite-CaF2]

-2.56581

-2.56615

icsd-248490-10-[Pt2Si]

-2.5658

-2.56612

icsd-169457-10-[ZrH2]

-2.56574

-2.56607

icsd-58471-01-[CuZr2]

-2.56196

-2.56365

icsd-58607-10-[Au2Ti]

-2.56194

-2.56367

icsd-652553-10-[AlCr2-MoSi2]

-2.56194

-2.56367

icsd-42472-01-[CoO]

-2.56089

-2.56167

icsd-181788-01-[NaCl]

-2.56089

-2.56156

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

-2.56088

-2.56085

icsd-611176-01-[Fe2P]

-2.55833

-2.54706

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

-2.55648

-2.55644

icsd-5258-01-[FeSi2]

-2.55315

-2.55305

icsd-55492-01-[BaPt]

-2.54917

-2.54992

icsd-639148-01-[NiHg4]

-2.54263

-2.54163

icsd-108762-01-[Hg4Pt]

-2.54263

-2.54163

icsd-424636-01-[MnGa4]

-2.54262

-2.54163

icsd-610464-10-[PbClF/Cu2Sb]

-2.53714

-2.53168

icsd-16504-01-[CrSi2]

-2.53147

-2.53009

icsd-105948-01-[InNi2]

-2.52956

-2.52451

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

-2.52956

-2.52451

icsd-155842-10-[Co5Fe11]

-2.52484

-2.52544

icsd-409859-10-[La2Sb]

-2.5215

-2.52177

icsd-635642-01-[Hg5Mn2]

-2.49963

-2.51398

icsd-73839-10-[Ni3S2]

-2.49344

-2.48867

icsd-106786-10-[Hg2Pt]

-2.48962

-2.49349

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

-2.48449

-2.48684

icsd-640726-10-[CuSmP2]

-2.48059

-2.48014

icsd-416747-01-[Al3Zr]

-2.48059

-2.48014

icsd-643301-01-[Au3Cd]

-2.48033

-2.48016

icsd-105191-01-[Al3Ti]

-2.47965

-2.48086

icsd-420250-01-[LiPd2Tl]

-2.47963

-2.48086

icsd-648572-01-[CuInPt2]

-2.4785

-2.47705

icsd-99787-10-[Fe3Pt]

-2.4785

-2.47705

icsd-181127-10-[Auricupride-AuCu3]

-2.4785

-2.47705

icsd-69199-01-[U3Si]

-2.4784

-2.47765

icsd-609153-01-[AlPt3]

-2.47814

-2.47759

icsd-649037-01-[Ni3Ti]

-2.47597

-2.47839

icsd-260285-01-[UCl3]

-2.47408

-2.47362

icsd-104506-01-[Ni3Sn]

-2.47333

-2.47352

icsd-189695-01-[CuHg2Ti]

-2.45739

-2.463

icsd-188260-10-[Heusler-AlCu2Mn]

-2.45739

-2.463

icsd-648748-10-[Pd4Se]

-2.45676

-2.45548

icsd-107998-10-[MoNi4]

-2.45261

-2.44942

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

-2.44921

-2.44822

icsd-42773-10-[IrGe4]

-2.44457

-2.439

icsd-105521-10-[Al5W]

-2.42367

-2.42282

icsd-150584-10-[Fe13Ge3]

-2.41846

-2.42644

icsd-635208-10-[CoGa3]

-2.41267

-2.43487

icsd-97006-10-[InMg2]

-2.40311

-2.40289

icsd-167735-10-[Ru2B3]

-2.38385

-2.38507

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

-2.37343

-2.37388

icsd-424636-10-[MnGa4]

-2.36081

-2.35728

icsd-108762-10-[Hg4Pt]

-2.3608

-2.35728

icsd-639148-10-[NiHg4]

-2.3608

-2.35728

icsd-246555-10-[Co2Nd]

-2.33021

-2.32893

icsd-58745-01-[Fe6Ge6Mg]

-2.24645

-2.27294

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.416

7.209

7.209

7.209

90.0

90.0

90.0

DFT

22.777

7.143

7.143

7.143

90.0

90.0

90.0

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

1

2

3

4

5

6

44.6

29.5

29.5

0.0

0.0

0.0

29.5

44.6

29.5

0.0

0.0

0.0

29.5

29.5

44.6

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

4.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.08

7.051

3.101

5.93

90.0

90.0

102.7

DFT

21.164

5.006

5.006

5.852

90.0

90.0

120.0

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

1

2

3

4

5

6

63.3

41.9

37.5

0.0

0.0

1.0

41.9

69.5

38.6

0.0

0.0

-2.5

37.5

38.6

76.3

0.0

0.0

-0.3

0.0

0.0

0.0

13.8

0.2

0.0

0.0

0.0

0.0

0.2

14.5

0.0

1.0

-2.5

-0.3

0.0

0.0

9.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.84

3.116

3.116

4.829

90.0

90.0

103.02

DFT

22.639

3.178

3.178

5.177

90.0

90.0

120.0

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

1

2

3

4

5

6

77.6

42.4

44.2

0.0

0.0

1.5

42.4

76.6

47.3

0.0

0.0

-3.7

44.2

47.3

76.5

0.0

0.0

6.8

0.0

0.0

0.0

11.9

7.3

0.0

0.0

0.0

0.0

7.3

8.5

0.0

1.5

-3.7

6.8

0.0

0.0

6.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.402

6.727

6.727

4.288

90.0

90.0

90.0

DFT

18.901

6.725

6.725

4.179

90.0

90.0

90.0

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

1

2

3

4

5

6

63.2

40.6

45.0

0.0

0.0

0.9

40.6

63.2

45.0

0.0

0.0

-0.9

45.0

45.0

63.4

0.0

0.0

0.0

0.0

0.0

0.0

8.7

0.0

0.0

0.0

0.0

0.0

0.0

8.7

0.0

0.9

-0.9

0.0

0.0

0.0

7.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.661

4.666

4.666

9.427

90.0

90.0

90.0

DFT

25.116

4.527

4.527

9.805

90.0

90.0

90.0

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

1

2

3

4

5

6

45.7

39.0

33.5

0.0

0.0

0.0

39.0

45.7

33.5

0.0

0.0

0.0

33.5

33.5

41.2

0.0

0.0

0.0

0.0

0.0

0.0

7.1

0.0

0.0

0.0

0.0

0.0

0.0

7.1

0.0

0.0

0.0

0.0

0.0

0.0

10.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.752

3.57

3.57

3.57

90.0

90.0

90.0

DFT

22.83

3.574

3.574

3.574

90.0

90.0

90.0

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

1

2

3

4

5

6

15.7

32.7

32.7

0.0

0.0

0.0

32.7

15.7

32.7

0.0

0.0

0.0

32.7

32.7

15.7

0.0

0.0

0.0

0.0

0.0

0.0

16.4

0.0

0.0

0.0

0.0

0.0

0.0

16.4

0.0

0.0

0.0

0.0

0.0

0.0

16.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.678

4.286

4.286

4.286

90.0

90.0

90.0

DFT

19.484

4.271

4.271

4.271

90.0

90.0

90.0

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

1

2

3

4

5

6

85.9

53.8

53.8

0.0

0.0

0.0

53.8

85.9

53.8

0.0

0.0

0.0

53.8

53.8

85.9

0.0

0.0

0.0

0.0

0.0

0.0

17.9

0.0

0.0

0.0

0.0

0.0

0.0

17.9

0.0

0.0

0.0

0.0

0.0

0.0

17.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.061

4.095

4.095

7.537

90.0

90.0

90.0

DFT

21.254

4.11

4.11

7.549

90.0

90.0

90.0

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

1

2

3

4

5

6

45.3

42.7

40.0

0.0

0.0

0.0

42.7

45.3

40.0

0.0

0.0

0.0

40.0

40.0

58.0

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

4.9

0.0

0.0

0.0

0.0

0.0

0.0

25.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.739

4.698

4.698

18.662

90.0

90.0

90.0

DFT

25.129

4.574

4.574

19.222

90.0

90.0

90.0

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

1

2

3

4

5

6

47.2

33.7

34.1

0.0

0.0

0.0

33.7

47.2

34.1

0.0

0.0

0.0

34.1

34.1

47.0

0.0

0.0

0.0

0.0

0.0

0.0

7.1

0.0

0.0

0.0

0.0

0.0

0.0

7.1

0.0

0.0

0.0

0.0

0.0

0.0

7.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.76

5.75

5.75

5.75

90.0

90.0

90.0

DFT

23.138

5.699

5.699

5.699

90.0

90.0

90.0

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

1

2

3

4

5

6

-13.4

73.8

73.8

0.0

0.0

0.0

73.8

-13.4

73.8

0.0

0.0

0.0

73.8

73.8

-13.4

0.0

0.0

0.0

0.0

0.0

0.0

-208355.4

0.0

0.0

0.0

0.0

0.0

0.0

-208355.4

0.0

0.0

0.0

0.0

0.0

0.0

-208355.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.261

11.825

6.256

3.009

90.0

90.0

90.0

DFT

22.706

8.519

8.519

3.129

90.0

90.0

90.0

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

1

2

3

4

5

6

53.5

51.5

33.4

0.0

0.0

0.0

51.5

64.1

24.8

0.0

0.0

0.0

33.4

24.8

78.4

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

14.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.037

5.708

13.278

4.441

90.0

90.0

90.0

DFT

19.766

6.11

10.619

4.874

90.0

90.0

90.0

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

1

2

3

4

5

6

62.5

34.6

34.2

0.0

0.0

0.0

34.6

45.5

36.2

0.0

0.0

0.0

34.2

36.2

63.7

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

3.1

0.0

0.0

0.0

0.0

0.0

0.0

-11.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.79

3.121

13.087

10.925

90.0

90.0

90.0

DFT

24.809

3.149

12.9

10.995

90.0

90.0

90.0

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

1

2

3

4

5

6

65.8

32.0

34.8

0.0

0.0

0.0

32.0

44.1

39.5

0.0

0.0

0.0

34.8

39.5

43.3

0.0

0.0

0.0

0.0

0.0

0.0

-32076.0

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

7.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.229

4.586

4.586

7.484

90.0

90.0

90.0

DFT

25.193

4.338

4.338

8.033

90.0

90.0

90.0

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

1

2

3

4

5

6

47.9

23.6

31.7

0.0

0.0

0.0

23.6

47.9

31.7

0.0

0.0

0.0

31.7

31.7

63.3

0.0

0.0

0.0

0.0

0.0

0.0

7.7

0.0

0.0

0.0

0.0

0.0

0.0

7.7

0.0

0.0

0.0

0.0

0.0

0.0

11.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.604

6.542

11.33

5.527

90.0

90.0

90.0

DFT

25.272

6.595

11.475

5.343

90.0

90.0

90.0

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

1

2

3

4

5

6

46.1

34.8

24.9

0.0

0.0

0.0

34.8

46.1

24.9

0.0

0.0

0.0

24.9

24.9

41.7

0.0

0.0

0.0

0.0

0.0

0.0

-2.9

0.0

0.0

0.0

0.0

0.0

0.0

-2.9

0.0

0.0

0.0

0.0

0.0

0.0

5.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.733

6.58

6.58

10.981

90.0

90.0

120.0

DFT

25.144

6.571

6.571

10.759

90.0

90.0

120.0

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

1

2

3

4

5

6

45.0

32.9

28.1

0.0

0.0

0.0

32.9

45.0

28.1

0.0

0.0

0.0

28.1

28.1

42.6

0.0

0.0

0.0

0.0

0.0

0.0

2.8

0.0

0.0

0.0

0.0

0.0

0.0

2.8

0.0

0.0

0.0

0.0

0.0

0.0

6.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.435

2.974

10.792

12.02

90.73

90.0

90.0

DFT

20.869

2.965

14.763

8.582

90.0

90.0

90.0

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

1

2

3

4

5

6

81.8

31.0

31.3

-2.1

0.0

0.0

31.0

53.4

46.7

2.3

0.0

0.0

31.3

46.7

60.4

-2.4

0.0

0.0

-2.1

2.3

-2.4

20.2

0.0

0.0

0.0

0.0

0.0

0.0

4.8

1.0

0.0

0.0

0.0

0.0

1.0

12.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.659

7.37

7.37

4.724

90.0

90.0

90.0

DFT

25.681

7.574

7.574

4.476

90.0

90.0

90.0

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

1

2

3

4

5

6

47.6

33.8

35.0

0.0

0.0

-1.1

33.8

47.6

35.0

0.0

0.0

1.1

35.0

35.0

41.3

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

-1.1

1.1

0.0

0.0

0.0

5.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.118

5.623

5.623

9.256

90.0

90.0

120.0

DFT

20.7

5.642

5.642

9.011

90.0

90.0

120.0

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

1

2

3

4

5

6

56.2

40.5

37.8

0.0

0.0

0.0

40.5

56.2

37.8

0.0

0.0

0.0

37.8

37.8

67.3

0.0

0.0

0.0

0.0

0.0

0.0

6.8

0.0

0.0

0.0

0.0

0.0

0.0

6.8

0.0

0.0

0.0

0.0

0.0

0.0

7.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.836

5.57

5.57

8.319

90.0

90.0

120.0

DFT

24.507

5.577

5.577

8.189

90.0

90.0

120.0

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

1

2

3

4

5

6

59.3

45.2

39.0

0.0

0.0

0.0

45.2

59.3

39.0

0.0

0.0

0.0

39.0

39.0

63.0

0.0

0.0

0.0

0.0

0.0

0.0

-9.5

0.0

0.0

0.0

0.0

0.0

0.0

-9.5

0.0

0.0

0.0

0.0

0.0

0.0

7.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.911

7.456

7.456

7.456

90.0

90.0

90.0

DFT

25.409

7.408

7.408

7.408

90.0

90.0

90.0

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

1

2

3

4

5

6

47.7

59.2

59.2

0.0

0.0

0.0

59.2

47.7

59.2

0.0

0.0

0.0

59.2

59.2

47.7

0.0

0.0

0.0

0.0

0.0

0.0

11.7

0.0

0.0

0.0

0.0

0.0

0.0

11.7

0.0

0.0

0.0

0.0

0.0

0.0

11.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.189

5.232

5.232

6.376

90.0

90.0

120.0

DFT

24.659

5.188

5.188

6.348

90.0

90.0

120.0

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

1

2

3

4

5

6

51.6

48.8

27.8

0.0

0.0

0.0

48.8

51.6

27.8

0.0

0.0

0.0

27.8

27.8

44.8

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

1.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.86

4.694

4.694

4.694

90.0

90.0

90.0

DFT

25.176

4.652

4.652

4.652

90.0

90.0

90.0

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

1

2

3

4

5

6

45.2

31.2

31.2

0.0

0.0

0.0

31.2

45.2

31.2

0.0

0.0

0.0

31.2

31.2

45.2

0.0

0.0

0.0

0.0

0.0

0.0

6.4

0.0

0.0

0.0

0.0

0.0

0.0

6.4

0.0

0.0

0.0

0.0

0.0

0.0

6.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.718

3.251

3.251

9.927

90.0

90.0

120.0

DFT

22.539

3.182

3.182

10.279

90.0

90.0

120.0

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

1

2

3

4

5

6

42.9

41.1

51.0

0.0

0.0

0.0

41.1

42.9

51.0

0.0

0.0

0.0

51.0

51.0

84.6

0.0

0.0

0.0

0.0

0.0

0.0

11.2

0.0

0.0

0.0

0.0

0.0

0.0

11.2

0.0

0.0

0.0

0.0

0.0

0.0

0.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.901

4.328

4.328

8.498

90.0

90.0

90.0

DFT

19.5

4.245

4.245

8.656

90.0

90.0

90.0

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

1

2

3

4

5

6

61.6

35.2

38.5

0.0

0.0

0.0

35.2

61.6

38.5

0.0

0.0

0.0

38.5

38.5

72.1

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

7.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.232

7.723

7.723

4.062

90.0

90.0

90.0

DFT

24.151

7.584

7.584

4.198

90.0

90.0

90.0

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

1

2

3

4

5

6

84.6

60.2

56.9

0.0

0.0

0.0

60.2

84.6

56.9

0.0

0.0

0.0

56.9

56.9

65.7

0.0

0.0

0.0

0.0

0.0

0.0

18.3

0.0

0.0

0.0

0.0

0.0

0.0

18.3

0.0

0.0

0.0

0.0

0.0

0.0

13.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.432

9.747

6.539

6.726

90.0

90.0

134.61

DFT

26.461

6.436

6.436

8.852

90.0

90.0

120.0

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

1

2

3

4

5

6

45.2

31.3

36.1

0.0

0.0

-5.1

31.3

49.1

31.3

0.0

0.0

2.1

36.1

31.3

40.0

0.0

0.0

-4.2

0.0

0.0

0.0

7.2

-1.5

0.0

0.0

0.0

0.0

-1.5

12.3

0.0

-5.1

2.1

-4.2

0.0

0.0

7.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.678

5.336

5.336

7.911

90.0

90.0

120.0

DFT

20.866

5.289

5.289

7.752

90.0

90.0

120.0

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

1

2

3

4

5

6

46.3

42.3

39.5

0.0

0.0

0.0

42.3

46.3

39.5

0.0

0.0

0.0

39.5

39.5

70.3

0.0

0.0

0.0

0.0

0.0

0.0

-13.5

0.0

0.0

0.0

0.0

0.0

0.0

-13.5

0.0

0.0

0.0

0.0

0.0

0.0

2.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.002

7.166

7.166

7.166

90.0

90.0

90.0

DFT

22.858

7.151

7.151

7.151

90.0

90.0

90.0

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

1

2

3

4

5

6

29.4

47.8

47.8

0.0

0.0

0.0

47.8

29.4

47.8

0.0

0.0

0.0

47.8

47.8

29.4

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

-6.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.817

6.081

6.081

9.9

90.0

90.0

120.0

DFT

19.606

6.083

6.083

9.788

90.0

90.0

120.0

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

1

2

3

4

5

6

69.5

52.3

44.6

0.0

0.0

0.0

52.3

69.5

44.6

0.0

0.0

0.0

44.6

44.6

60.3

0.0

0.0

0.0

0.0

0.0

0.0

9.7

0.0

0.0

0.0

0.0

0.0

0.0

9.7

0.0

0.0

0.0

0.0

0.0

0.0

8.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.832

4.291

4.291

17.229

90.0

90.0

90.0

DFT

19.519

4.263

4.263

17.188

90.0

90.0

90.0

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

1

2

3

4

5

6

67.0

45.1

48.8

0.0

0.0

0.0

45.1

67.0

48.8

0.0

0.0

0.0

48.8

48.8

80.3

0.0

0.0

0.0

0.0

0.0

0.0

9.3

0.0

0.0

0.0

0.0

0.0

0.0

9.3

0.0

0.0

0.0

0.0

0.0

0.0

13.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.17

3.237

3.237

4.422

90.0

90.0

90.0

DFT

22.45

3.2

3.2

4.385

90.0

90.0

90.0

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

1

2

3

4

5

6

39.0

32.9

32.9

0.0

0.0

0.0

32.9

39.0

32.9

0.0

0.0

0.0

32.9

32.9

50.9

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

7.3

0.0

0.0

0.0

0.0

0.0

0.0

7.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.874

6.938

6.938

6.938

90.0

90.0

90.0

DFT

20.01

6.841

6.841

6.841

90.0

90.0

90.0

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

1

2

3

4

5

6

-4.6

36.9

36.9

0.0

0.0

0.0

36.9

-4.6

36.9

0.0

0.0

0.0

36.9

36.9

-4.6

0.0

0.0

0.0

0.0

0.0

0.0

-2.9

0.0

0.0

0.0

0.0

0.0

0.0

-2.9

0.0

0.0

0.0

0.0

0.0

0.0

-2.9