gtinv-182 (Ca-Ti-2022-06-12)

Energy distribution

../../../../_images/distribution363.png

Convex hull (formation energy)

../../../../_images/convex363.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Ca

1.0

0.0

Ti

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-sep363.png

Prototype structure energy

../../../../_images/icsd-pred363.png

Phonon density of states

../../../../_images/dos363.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-97006-10-[InMg2]

-4.72875

-4.73013

icsd-58745-01-[Fe6Ge6Mg]

-4.70704

-4.71325

icsd-105521-10-[Al5W]

-4.38768

-4.38898

icsd-107998-10-[MoNi4]

-4.36788

-4.36626

icsd-167735-10-[Ru2B3]

-4.35943

-4.35918

icsd-42773-10-[IrGe4]

-4.28071

-4.28282

icsd-150584-10-[Fe13Ge3]

-4.26612

-4.25862

icsd-260285-01-[UCl3]

-4.03616

-4.03451

icsd-104506-01-[Ni3Sn]

-4.03591

-4.03448

icsd-649037-01-[Ni3Ti]

-3.96843

-3.97137

icsd-105191-01-[Al3Ti]

-3.93733

-3.9373

icsd-420250-01-[LiPd2Tl]

-3.93733

-3.9373

icsd-643301-01-[Au3Cd]

-3.92812

-3.92809

icsd-640726-10-[CuSmP2]

-3.92808

-3.92808

icsd-416747-01-[Al3Zr]

-3.92808

-3.92808

icsd-69199-01-[U3Si]

-3.91915

-3.91926

icsd-181127-10-[Auricupride-AuCu3]

-3.91915

-3.91925

icsd-648572-01-[CuInPt2]

-3.91915

-3.91925

icsd-609153-01-[AlPt3]

-3.91915

-3.91925

icsd-99787-10-[Fe3Pt]

-3.91913

-3.91929

icsd-648748-10-[Pd4Se]

-3.90924

-3.91087

icsd-188260-10-[Heusler-AlCu2Mn]

-3.86276

-3.85882

icsd-189695-01-[CuHg2Ti]

-3.86275

-3.85882

icsd-58607-10-[Au2Ti]

-3.85825

-3.85899

icsd-652553-10-[AlCr2-MoSi2]

-3.85825

-3.859

icsd-58471-01-[CuZr2]

-3.85825

-3.859

icsd-409859-10-[La2Sb]

-3.81288

-3.81319

icsd-30446-01-[Fe2B]

-3.76972

-3.76822

icsd-611176-01-[Fe2P]

-3.76134

-3.77096

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

-3.74633

-3.74332

icsd-610464-10-[PbClF/Cu2Sb]

-3.72664

-3.72846

icsd-155842-10-[Co5Fe11]

-3.71387

-3.70835

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

-3.68376

-3.68368

icsd-246555-10-[Co2Nd]

-3.68286

-3.68229

icsd-105726-01-[Pd5Ti3]

-3.6173

-3.61725

icsd-169457-10-[ZrH2]

-3.61328

-3.6131

icsd-659829-01-[Al2Li3]

-3.53832

-3.55379

icsd-16504-01-[CrSi2]

-3.51154

-3.5117

icsd-629406-10-[Cu4Ti3]

-3.50468

-3.51004

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

-3.49861

-3.49784

icsd-105948-01-[InNi2]

-3.4986

-3.49784

icsd-635208-10-[CoGa3]

-3.48247

-3.48151

icsd-629380-10-[Al3Os2]

-3.47427

-3.47347

icsd-635642-01-[Hg5Mn2]

-3.45919

-3.47074

icsd-103995-01-[Ga3Ti2]

-3.42009

-3.42015

icsd-5258-01-[FeSi2]

-3.39546

-3.39701

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

-3.35977

-3.35968

icsd-239-10-[Cu3Se2]

-3.34334

-3.34407

icsd-16606-01-[Nb3Te4]

-3.3253

-3.32783

icsd-59586-01-[Pd5Th3]

-3.22515

-3.22884

icsd-639879-10-[In5In4]

-3.12898

-3.12901

icsd-100654-01-[BiSe]

-3.02263

-3.00815

icsd-639227-10-[Si2U3]

-2.99939

-2.99909

icsd-629406-01-[Cu4Ti3]

-2.99709

-2.98699

icsd-55492-01-[BaPt]

-2.97953

-2.97921

icsd-108762-10-[Hg4Pt]

-2.95508

-2.95564

icsd-639148-10-[NiHg4]

-2.95508

-2.95564

icsd-424636-10-[MnGa4]

-2.95508

-2.95565

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

-2.95345

-2.95176

icsd-73839-10-[Ni3S2]

-2.94814

-2.9452

icsd-611457-01-[NbAs]

-2.944

-2.9441

icsd-105636-01-[PbU]

-2.94399

-2.9441

icsd-659856-01-[LiPt]

-2.94245

-2.94218

icsd-644708-01-[WC]

-2.94244

-2.94218

icsd-168897-01-[LaI]

-2.93525

-2.93567

icsd-626692-01-[Nickeline-NiAs]

-2.93525

-2.93566

icsd-611618-01-[TiAs]

-2.93159

-2.93095

icsd-618702-01-[ScTe]

-2.93158

-2.93094

icsd-639037-01-[HgIn]

-2.92794

-2.92703

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

-2.92794

-2.92703

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

-2.92783

-2.92709

icsd-618295-01-[MoC1-x]

-2.92083

-2.91922

icsd-240119-01-[AlLi]

-2.91797

-2.91785

icsd-103775-01-[NaTl]

-2.91796

-2.91785

icsd-42428-01-[Fe3Pt]

-2.91694

-2.91532

icsd-106325-01-[BiIn]

-2.91693

-2.91532

icsd-108707-01-[HgMn]

-2.91692

-2.91531

icsd-59508-01-[AuCu]

-2.91692

-2.91531

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

-2.91692

-2.91532

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

-2.91513

-2.91496

icsd-102712-01-[CoU]

-2.9057

-2.89881

icsd-16606-10-[Nb3Te4]

-2.86325

-2.85147

icsd-639879-01-[In5In4]

-2.82746

-2.8267

icsd-650527-01-[CsCl]

-2.81289

-2.81513

icsd-639227-01-[Si2U3]

-2.80855

-2.80353

icsd-635060-01-[Fersilicite-FeSi]

-2.78911

-2.78819

icsd-659829-10-[Al2Li3]

-2.71828

-2.71564

icsd-103995-10-[Ga3Ti2]

-2.70406

-2.69394

icsd-629380-01-[Al3Os2]

-2.66875

-2.66907

icsd-185626-10-[Al3Ni2]

-2.65189

-2.64891

icsd-106786-10-[Hg2Pt]

-2.64243

-2.64277

icsd-30446-10-[Fe2B]

-2.6418

-2.64373

icsd-105726-10-[Pd5Ti3]

-2.63741

-2.63737

icsd-239-01-[Cu3Se2]

-2.59547

-2.59548

icsd-185626-01-[Al3Ni2]

-2.58802

-2.59131

icsd-248490-10-[Pt2Si]

-2.58204

-2.58181

icsd-638227-10-[Fluorite-CaF2]

-2.58204

-2.58179

icsd-59586-10-[Pd5Th3]

-2.5671

-2.57408

icsd-58607-01-[Au2Ti]

-2.56349

-2.56213

icsd-58471-10-[CuZr2]

-2.56349

-2.56213

icsd-652553-01-[AlCr2-MoSi2]

-2.56348

-2.56212

icsd-5258-10-[FeSi2]

-2.49954

-2.49992

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

-2.49543

-2.49737

icsd-611176-10-[Fe2P]

-2.43303

-2.44877

icsd-635208-01-[CoGa3]

-2.43031

-2.40157

icsd-155842-01-[Co5Fe11]

-2.38859

-2.38066

icsd-635642-10-[Hg5Mn2]

-2.37978

-2.3364

icsd-16504-10-[CrSi2]

-2.37903

-2.37726

icsd-105948-10-[InNi2]

-2.37311

-2.37355

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

-2.37296

-2.37357

icsd-106786-01-[Hg2Pt]

-2.29635

-2.29391

icsd-409859-01-[La2Sb]

-2.28784

-2.28955

icsd-610464-01-[PbClF/Cu2Sb]

-2.28495

-2.28103

icsd-73839-01-[Ni3S2]

-2.27516

-2.27512

icsd-260285-10-[UCl3]

-2.26869

-2.27118

icsd-104506-10-[Ni3Sn]

-2.26857

-2.27117

icsd-189695-10-[CuHg2Ti]

-2.26186

-2.26101

icsd-188260-01-[Heusler-AlCu2Mn]

-2.26186

-2.26101

icsd-167735-01-[Ru2B3]

-2.24946

-2.25136

icsd-649037-10-[Ni3Ti]

-2.24828

-2.25139

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

-2.24093

-2.24261

icsd-420250-10-[LiPd2Tl]

-2.24037

-2.24193

icsd-105191-10-[Al3Ti]

-2.23911

-2.24227

icsd-416747-10-[Al3Zr]

-2.23792

-2.23809

icsd-640726-01-[CuSmP2]

-2.23782

-2.23804

icsd-643301-10-[Au3Cd]

-2.23762

-2.23806

icsd-609153-10-[AlPt3]

-2.232

-2.23427

icsd-99787-01-[Fe3Pt]

-2.23198

-2.23427

icsd-69199-10-[U3Si]

-2.23198

-2.23429

icsd-648572-10-[CuInPt2]

-2.23198

-2.23428

icsd-181127-01-[Auricupride-AuCu3]

-2.23197

-2.23428

icsd-181788-01-[NaCl]

-2.21184

-2.21288

icsd-42472-01-[CoO]

-2.21171

-2.21288

icsd-107998-01-[MoNi4]

-2.18174

-2.17457

icsd-150584-01-[Fe13Ge3]

-2.15857

-2.15826

icsd-648748-01-[Pd4Se]

-2.14302

-2.14143

icsd-105521-01-[Al5W]

-2.10941

-2.10881

icsd-42773-01-[IrGe4]

-2.08081

-2.09664

icsd-97006-01-[InMg2]

-2.07565

-2.07185

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

-2.05671

-2.05682

icsd-161109-01-[CoSn]

-2.05548

-2.04976

icsd-638227-01-[Fluorite-CaF2]

-1.99364

-1.99427

icsd-169457-01-[ZrH2]

-1.99364

-1.9942

icsd-248490-01-[Pt2Si]

-1.99357

-1.99427

icsd-246555-01-[Co2Nd]

-1.98733

-1.98956

icsd-639148-01-[NiHg4]

-1.93864

-1.93935

icsd-108762-01-[Hg4Pt]

-1.93864

-1.93935

icsd-424636-01-[MnGa4]

-1.93864

-1.93935

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

-1.7899

-1.79037

icsd-58745-10-[Fe6Ge6Mg]

-1.26609

-1.77164

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.082

7.473

7.473

7.473

90.0

90.0

90.0

DFT

26.409

7.504

7.504

7.504

90.0

90.0

90.0

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

1

2

3

4

5

6

28.0

47.9

47.9

0.0

0.0

0.0

47.9

28.0

47.9

0.0

0.0

0.0

47.9

47.9

28.0

0.0

0.0

0.0

0.0

0.0

0.0

12.8

0.0

0.0

0.0

0.0

0.0

0.0

12.8

0.0

0.0

0.0

0.0

0.0

0.0

12.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.304

5.628

5.628

6.847

90.0

90.0

120.0

DFT

30.904

5.559

5.559

6.928

90.0

90.0

120.0

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

1

2

3

4

5

6

47.6

21.4

11.5

0.0

0.0

0.0

21.4

47.6

11.5

0.0

0.0

0.0

11.5

11.5

53.5

0.0

0.0

0.0

0.0

0.0

0.0

13.9

0.0

0.0

0.0

0.0

0.0

0.0

13.9

0.0

0.0

0.0

0.0

0.0

0.0

13.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.898

3.253

3.253

5.434

90.0

90.0

120.0

DFT

25.08

3.253

3.253

5.474

90.0

90.0

120.0

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

1

2

3

4

5

6

66.4

33.9

20.7

0.0

0.0

0.0

33.9

66.4

20.7

0.0

0.0

0.0

20.7

20.7

81.5

0.0

0.0

0.0

0.0

0.0

0.0

20.3

0.0

0.0

0.0

0.0

0.0

0.0

20.3

0.0

0.0

0.0

0.0

0.0

0.0

16.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.373

10.463

8.955

3.621

90.0

90.0

100.35

DFT

34.722

8.152

8.152

5.225

90.0

90.0

90.0

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

1

2

3

4

5

6

70.9

30.4

26.0

0.0

0.0

6.2

30.4

63.6

21.2

0.0

0.0

-8.1

26.0

21.2

62.4

0.0

0.0

-3.0

0.0

0.0

0.0

12.6

-3.1

0.0

0.0

0.0

0.0

-3.1

18.7

0.0

6.2

-8.1

-3.0

0.0

0.0

18.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.382

4.401

4.401

8.42

90.0

90.0

90.0

DFT

20.355

4.375

4.375

8.509

90.0

90.0

90.0

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

1

2

3

4

5

6

108.9

57.5

73.3

0.0

0.0

0.0

57.5

108.9

73.3

0.0

0.0

0.0

73.3

73.3

151.6

0.0

0.0

0.0

0.0

0.0

0.0

9.4

0.0

0.0

0.0

0.0

0.0

0.0

9.4

0.0

0.0

0.0

0.0

0.0

0.0

35.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.186

3.741

3.741

3.741

90.0

90.0

90.0

DFT

26.191

3.742

3.742

3.742

90.0

90.0

90.0

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

1

2

3

4

5

6

32.0

41.4

41.4

0.0

0.0

0.0

41.4

32.0

41.4

0.0

0.0

0.0

41.4

41.4

32.0

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

23.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.148

5.099

5.099

5.099

90.0

90.0

90.0

DFT

33.337

5.109

5.109

5.109

90.0

90.0

90.0

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

1

2

3

4

5

6

23.8

29.4

29.4

0.0

0.0

0.0

29.4

23.8

29.4

0.0

0.0

0.0

29.4

29.4

23.8

0.0

0.0

0.0

0.0

0.0

0.0

21.5

0.0

0.0

0.0

0.0

0.0

0.0

21.5

0.0

0.0

0.0

0.0

0.0

0.0

21.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.814

3.23

5.655

10.313

90.0

108.25

90.0

DFT

31.95

4.613

4.613

9.007

90.0

90.0

90.0

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

1

2

3

4

5

6

108.4

11.5

11.5

0.0

0.0

0.0

11.5

64.0

33.4

0.0

0.0

0.0

11.5

33.4

64.0

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

14.5

0.0

0.0

0.0

0.0

0.0

0.0

14.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.467

4.358

4.358

17.245

90.0

90.0

90.0

DFT

20.338

4.343

4.343

17.251

90.0

90.0

90.0

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

1

2

3

4

5

6

103.6

57.0

68.0

0.0

0.0

0.0

57.0

103.6

68.0

0.0

0.0

0.0

68.0

68.0

143.7

0.0

0.0

0.0

0.0

0.0

0.0

32.0

0.0

0.0

0.0

0.0

0.0

0.0

32.0

0.0

0.0

0.0

0.0

0.0

0.0

40.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.633

5.897

5.897

5.897

90.0

90.0

90.0

DFT

25.921

5.919

5.919

5.919

90.0

90.0

90.0

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

1

2

3

4

5

6

-99.0

-33584.0

115.5

0.0

0.0

0.0

-33584.0

-209111.2

-147041.1

0.0

0.0

-5765.0

115.5

-147041.1

-99.0

0.0

0.0

0.0

0.0

0.0

0.0

-753381.7

0.0

0.0

0.0

0.0

0.0

0.0

-753381.7

0.0

0.0

-5765.0

0.0

0.0

0.0

-753381.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.997

9.04

9.04

3.67

90.0

90.0

90.0

DFT

30.322

9.212

9.212

3.573

90.0

90.0

90.0

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

1

2

3

4

5

6

34.0

30.1

30.2

0.0

0.0

-1460.1

30.1

34.0

30.2

0.0

0.0

-1529.0

30.2

30.2

46.9

0.0

0.0

6148.9

0.0

0.0

0.0

-25482.3

0.0

2.0

0.0

0.0

0.0

0.0

-25482.3

-6372.8

-1460.1

-1529.0

6148.9

2.0

-6372.8

20.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.518

7.063

8.2

5.346

90.0

90.0

125.48

DFT

33.157

7.298

7.298

5.751

90.0

90.0

120.0

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

1

2

3

4

5

6

56.4

24.8

29.9

0.0

0.0

1.9

24.8

53.3

37.6

0.0

0.0

2.6

29.9

37.6

61.8

0.0

0.0

-11.2

0.0

0.0

0.0

21.5

-12.0

0.0

0.0

0.0

0.0

-12.0

13.2

0.0

1.9

2.6

-11.2

0.0

0.0

14.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.429

3.114

14.491

10.727

116.18

81.65

83.83

DFT

23.088

2.987

16.248

8.562

90.0

90.0

90.0

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

1

2

3

4

5

6

-1447.4

-1941.0

-166.3

-542.4

0.0

-760.5

-1941.0

-2316.0

-152.3

-568.2

0.0

-1187.2

-166.3

-152.3

80.9

0.8

0.0

-191.8

-542.4

-568.2

0.8

-3.3

0.0

-519.5

0.0

0.0

0.0

0.0

16.9

6.2

-760.5

-1187.2

-191.8

-519.5

6.2

10.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.214

4.163

4.163

8.384

90.0

90.0

90.0

DFT

23.817

4.117

4.117

8.432

90.0

90.0

90.0

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

1

2

3

4

5

6

37.2

43.7

32.7

0.0

0.0

0.0

43.7

37.2

32.7

0.0

0.0

0.0

32.7

32.7

49.9

0.0

0.0

0.0

0.0

0.0

0.0

1.8

0.0

0.0

0.0

0.0

0.0

0.0

1.8

0.0

0.0

0.0

0.0

0.0

0.0

40.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.182

6.184

7.102

4.726

90.0

90.0

125.28

DFT

21.529

6.45

6.45

4.78

90.0

90.0

120.0

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

1

2

3

4

5

6

78.9

56.5

45.2

0.0

0.0

17.1

56.5

57.6

39.8

0.0

0.0

-2.5

45.2

39.8

113.8

0.0

0.0

-4.8

0.0

0.0

0.0

24.7

-8.9

0.0

0.0

0.0

0.0

-8.9

16.7

0.0

17.1

-2.5

-4.8

0.0

0.0

11.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.693

6.26

6.26

9.755

90.0

90.0

120.0

DFT

20.81

6.275

6.275

9.765

90.0

90.0

120.0

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

1

2

3

4

5

6

81.8

40.8

34.8

0.0

0.0

0.0

40.8

81.8

34.8

0.0

0.0

0.0

34.8

34.8

115.7

0.0

0.0

0.0

0.0

0.0

0.0

23.7

0.0

0.0

0.0

0.0

0.0

0.0

23.7

0.0

0.0

0.0

0.0

0.0

0.0

20.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.238

9.598

9.598

3.411

90.0

90.0

120.0

DFT

30.581

9.525

9.525

3.503

90.0

90.0

120.0

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

1

2

3

4

5

6

46.2

34.3

12.8

0.0

0.0

0.0

34.3

46.2

12.8

0.0

0.0

0.0

12.8

12.8

38.5

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

6.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.053

8.024

8.024

3.115

90.0

90.0

90.0

DFT

20.277

8.073

8.073

3.111

90.0

90.0

90.0

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

1

2

3

4

5

6

106.7

42.4

50.8

0.0

0.0

13.1

42.4

106.7

50.8

0.0

0.0

-13.1

50.8

50.8

91.3

0.0

0.0

0.0

0.0

0.0

0.0

25.6

0.0

0.0

0.0

0.0

0.0

0.0

25.6

0.0

13.1

-13.1

0.0

0.0

0.0

21.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.724

5.211

6.731

11.277

90.0

90.0

111.23

DFT

31.732

6.289

6.289

11.118

90.0

90.0

120.0

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

1

2

3

4

5

6

35.0

32.2

22.4

0.0

0.0

-6.5

32.2

54.5

30.0

0.0

0.0

-0.3

22.4

30.0

78.8

0.0

0.0

0.6

0.0

0.0

0.0

21.0

4.6

0.0

0.0

0.0

0.0

4.6

10.0

0.0

-6.5

-0.3

0.6

0.0

0.0

26.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.018

5.659

5.659

7.47

90.0

90.0

120.0

DFT

24.254

6.0

6.0

7.002

90.0

90.0

120.0

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

1

2

3

4

5

6

70.3

40.9

42.8

0.0

0.0

0.3

40.9

62.0

40.1

0.0

0.0

0.0

42.8

40.1

101.0

0.0

0.0

0.0

0.0

0.0

0.0

-89.8

0.0

0.0

0.0

0.0

0.0

0.0

-89.8

0.0

0.3

0.0

0.0

0.0

0.0

11.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.03

6.955

6.955

6.955

90.0

90.0

90.0

DFT

20.391

6.884

6.884

6.884

90.0

90.0

90.0

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

1

2

3

4

5

6

54.8

86.7

86.7

0.0

0.0

0.0

86.7

54.8

86.7

0.0

0.0

0.0

86.7

86.7

54.8

0.0

0.0

0.0

0.0

0.0

0.0

-265877.8

0.0

0.0

0.0

0.0

0.0

0.0

-265877.8

0.0

0.0

0.0

0.0

0.0

0.0

-265877.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.696

4.966

4.966

6.095

90.0

90.0

119.99

DFT

21.595

4.942

4.942

6.127

90.0

90.0

120.0

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

1

2

3

4

5

6

75.9

75.9

31.1

0.0

0.0

0.0

75.9

75.9

31.1

0.0

0.0

0.0

31.1

31.1

140.9

0.0

0.0

0.0

0.0

0.0

0.0

15.5

0.0

0.0

0.0

0.0

0.0

0.0

15.5

0.0

0.0

0.0

0.0

0.0

0.0

0.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.307

4.331

4.331

4.331

90.0

90.0

90.0

DFT

20.302

4.33

4.33

4.33

90.0

90.0

90.0

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

1

2

3

4

5

6

92.6

52.3

52.3

0.0

0.0

0.0

52.3

92.6

52.3

0.0

0.0

0.0

52.3

52.3

92.6

0.0

0.0

0.0

0.0

0.0

0.0

43.7

0.0

0.0

0.0

0.0

0.0

0.0

43.7

0.0

0.0

0.0

0.0

0.0

0.0

43.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.752

3.221

3.221

11.019

90.0

90.0

120.0

DFT

24.992

3.231

3.231

11.057

90.0

90.0

120.0

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

1

2

3

4

5

6

71.3

36.5

14.2

0.0

0.0

0.0

36.5

71.3

14.2

0.0

0.0

0.0

14.2

14.2

99.2

0.0

0.0

0.0

0.0

0.0

0.0

17.6

0.0

0.0

0.0

0.0

0.0

0.0

17.6

0.0

0.0

0.0

0.0

0.0

0.0

17.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.621

4.926

4.926

10.756

90.0

90.0

90.0

DFT

33.216

5.181

5.181

9.9

90.0

90.0

90.0

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

1

2

3

4

5

6

35.6

44.4

38.1

0.0

0.0

0.0

44.4

35.6

38.1

0.0

0.0

0.0

38.1

38.1

64.3

0.0

0.0

0.0

0.0

0.0

0.0

17.1

0.0

0.0

0.0

0.0

0.0

0.0

17.1

0.0

0.0

0.0

0.0

0.0

0.0

23.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.227

8.44

8.44

3.261

90.0

90.0

90.0

DFT

23.238

8.437

8.437

3.264

90.0

90.0

90.0

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

1

2

3

4

5

6

63.6

63.4

41.2

-0.6

-0.9

3.1

63.4

63.6

41.2

-0.9

-0.6

3.1

41.2

41.2

79.0

0.0

0.0

0.0

-0.6

-0.9

0.0

26.5

0.0

0.0

-0.9

-0.6

0.0

0.0

26.5

0.0

3.1

3.1

0.0

0.0

0.0

11.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.604

6.054

6.054

9.302

90.0

90.0

120.0

DFT

24.274

5.954

5.954

9.488

90.0

90.0

120.0

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

1

2

3

4

5

6

43.6

34.9

28.9

0.0

0.0

0.0

34.9

43.6

28.9

0.0

0.0

0.0

28.9

28.9

67.7

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

10.6

0.0

0.0

0.0

0.0

0.0

0.0

4.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.266

6.773

7.314

7.958

76.09

107.74

131.36

DFT

30.413

6.012

6.012

8.744

90.0

90.0

120.0

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

1

2

3

4

5

6

49.9

24.1

33.8

-6.5

-5.5

-2.3

24.1

42.3

22.0

9.5

-1.7

8.1

33.8

22.0

46.5

-0.9

3.9

-9.0

-6.5

9.5

-0.9

14.6

-8.1

0.9

-5.5

-1.7

3.9

-8.1

19.6

-1.7

-2.3

8.1

-9.0

0.9

-1.7

12.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.319

7.399

7.399

7.399

90.0

90.0

90.0

DFT

25.367

7.404

7.404

7.404

90.0

90.0

90.0

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

1

2

3

4

5

6

25.4

37.4

37.4

0.0

0.0

0.0

37.4

25.4

37.4

0.0

0.0

0.0

37.4

37.4

25.4

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

-23.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.154

6.733

7.221

13.411

90.0

90.0

125.55

DFT

33.247

7.26

7.26

11.654

90.0

90.0

120.0

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

1

2

3

4

5

6

48.6

27.4

26.5

0.0

0.0

-8.4

27.4

54.4

30.1

0.0

0.0

-3.2

26.5

30.1

61.9

0.0

0.0

3.1

0.0

0.0

0.0

20.2

1.0

0.0

0.0

0.0

0.0

1.0

16.0

0.0

-8.4

-3.2

3.1

0.0

0.0

14.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.195

3.615

5.935

24.011

90.0

90.0

90.0

DFT

33.236

5.13

5.13

20.209

90.0

90.0

90.0

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

1

2

3

4

5

6

56.8

15.5

27.2

0.0

0.0

0.0

15.5

69.3

16.7

0.0

0.0

0.0

27.2

16.7

70.3

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

15.8

0.0

0.0

0.0

0.0

0.0

0.0

14.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.539

3.19

3.19

5.021

90.0

90.0

90.0

DFT

25.395

3.179

3.179

5.025

90.0

90.0

90.0

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

1

2

3

4

5

6

79.6

9.7

30.9

0.0

0.0

0.0

9.7

79.6

30.9

0.0

0.0

0.0

30.9

30.9

72.2

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

6.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.314

8.026

8.026

8.026

90.0

90.0

90.0

DFT

32.668

8.055

8.055

8.055

90.0

90.0

90.0

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

1

2

3

4

5

6

52.3

32.6

32.6

0.0

0.0

0.0

32.6

52.3

32.6

0.0

0.0

0.0

32.6

32.6

52.3

0.0

0.0

0.0

0.0

0.0

0.0

17.5

0.0

0.0

0.0

0.0

0.0

0.0

17.5

0.0

0.0

0.0

0.0

0.0

0.0

17.5