gtinv-436 (Ti-Ge-2022-10-13)

Energy distribution

../../../../_images/distribution1056.png

Convex hull (formation energy)

../../../../_images/convex1056.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Ti

0.3333

-0.6012

icsd-611176-10-[Fe2P]

0.4

-0.6425

icsd-639227-01-[Si2U3]

0.6667

-0.416

icsd-16504-01-[CrSi2]

1.0

0.0

Ge

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-sep1056.png

Prototype structure energy

../../../../_images/icsd-pred1056.png

Phonon density of states

../../../../_images/dos1056.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-611176-10-[Fe2P]

-5.37622

-5.3924

icsd-409859-01-[La2Sb]

-5.3707

-5.36853

icsd-610464-01-[PbClF/Cu2Sb]

-5.36697

-5.3679

icsd-105948-10-[InNi2]

-5.34284

-5.3477

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

-5.34284

-5.3477

icsd-104506-10-[Ni3Sn]

-5.33565

-5.33711

icsd-260285-10-[UCl3]

-5.33559

-5.33711

icsd-30446-10-[Fe2B]

-5.33082

-5.33089

icsd-649037-10-[Ni3Ti]

-5.32353

-5.32486

icsd-639227-01-[Si2U3]

-5.31468

-5.31389

icsd-105191-10-[Al3Ti]

-5.31073

-5.31323

icsd-420250-10-[LiPd2Tl]

-5.31073

-5.31322

icsd-640726-01-[CuSmP2]

-5.31033

-5.31362

icsd-416747-10-[Al3Zr]

-5.31033

-5.31362

icsd-643301-10-[Au3Cd]

-5.31029

-5.31362

icsd-99787-01-[Fe3Pt]

-5.30979

-5.31039

icsd-648572-10-[CuInPt2]

-5.30978

-5.3104

icsd-609153-10-[AlPt3]

-5.30978

-5.3104

icsd-181127-01-[Auricupride-AuCu3]

-5.30978

-5.3104

icsd-69199-10-[U3Si]

-5.30952

-5.31037

icsd-107998-01-[MoNi4]

-5.2924

-5.2925

icsd-16504-10-[CrSi2]

-5.28391

-5.2873

icsd-97006-01-[InMg2]

-5.2803

-5.27878

icsd-58471-10-[CuZr2]

-5.26747

-5.26745

icsd-652553-01-[AlCr2-MoSi2]

-5.26739

-5.26745

icsd-58607-01-[Au2Ti]

-5.26736

-5.26745

icsd-105521-01-[Al5W]

-5.26481

-5.26582

icsd-150584-01-[Fe13Ge3]

-5.21246

-5.21056

icsd-105726-10-[Pd5Ti3]

-5.20041

-5.20018

icsd-648748-01-[Pd4Se]

-5.19849

-5.20377

icsd-189695-10-[CuHg2Ti]

-5.1847

-5.18544

icsd-188260-01-[Heusler-AlCu2Mn]

-5.1847

-5.18544

icsd-629380-01-[Al3Os2]

-5.16522

-5.16427

icsd-155842-01-[Co5Fe11]

-5.15928

-5.16355

icsd-167735-01-[Ru2B3]

-5.15819

-5.15896

icsd-103995-10-[Ga3Ti2]

-5.15571

-5.15741

icsd-42773-01-[IrGe4]

-5.11743

-5.11553

icsd-638227-01-[Fluorite-CaF2]

-5.04985

-5.04849

icsd-248490-01-[Pt2Si]

-5.04985

-5.04848

icsd-169457-01-[ZrH2]

-5.04981

-5.04846

icsd-635642-10-[Hg5Mn2]

-5.04843

-5.05591

icsd-59586-10-[Pd5Th3]

-5.03655

-5.03813

icsd-239-01-[Cu3Se2]

-5.03204

-5.03393

icsd-105636-01-[PbU]

-5.02417

-5.02427

icsd-611457-01-[NbAs]

-5.02417

-5.02427

icsd-240119-01-[AlLi]

-5.02414

-5.02427

icsd-185626-01-[Al3Ni2]

-5.02258

-5.02834

icsd-16606-10-[Nb3Te4]

-5.00862

-5.01486

icsd-55492-01-[BaPt]

-4.99455

-4.99378

icsd-618295-01-[MoC1-x]

-4.99136

-4.99169

icsd-181788-01-[NaCl]

-4.985

-4.9843

icsd-42472-01-[CoO]

-4.985

-4.98437

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

-4.97916

-4.97987

icsd-635060-01-[Fersilicite-FeSi]

-4.97261

-4.9729

icsd-626692-01-[Nickeline-NiAs]

-4.97143

-4.97106

icsd-168897-01-[LaI]

-4.97143

-4.97106

icsd-639879-01-[In5In4]

-4.95468

-4.95493

icsd-659856-01-[LiPt]

-4.94791

-4.94863

icsd-644708-01-[WC]

-4.94791

-4.94863

icsd-635208-01-[CoGa3]

-4.94405

-4.94564

icsd-42428-01-[Fe3Pt]

-4.94127

-4.94117

icsd-106325-01-[BiIn]

-4.94121

-4.94098

icsd-108707-01-[HgMn]

-4.9412

-4.94116

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

-4.9412

-4.94116

icsd-59508-01-[AuCu]

-4.9412

-4.94115

icsd-106786-01-[Hg2Pt]

-4.901

-4.90117

icsd-611618-01-[TiAs]

-4.89811

-4.89988

icsd-618702-01-[ScTe]

-4.8981

-4.89988

icsd-659829-10-[Al2Li3]

-4.84409

-4.84342

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

-4.81978

-4.81951

icsd-639037-01-[HgIn]

-4.81978

-4.81951

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

-4.81978

-4.81951

icsd-161109-01-[CoSn]

-4.81646

-4.81574

icsd-58745-10-[Fe6Ge6Mg]

-4.81148

-4.82906

icsd-5258-10-[FeSi2]

-4.79852

-4.79825

icsd-629406-01-[Cu4Ti3]

-4.79414

-4.79458

icsd-102712-01-[CoU]

-4.79282

-4.79321

icsd-650527-01-[CsCl]

-4.78198

-4.77748

icsd-100654-01-[BiSe]

-4.76671

-4.76801

icsd-639227-10-[Si2U3]

-4.73978

-4.73936

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

-4.73585

-4.73554

icsd-103995-01-[Ga3Ti2]

-4.7267

-4.72511

icsd-246555-01-[Co2Nd]

-4.72208

-4.72111

icsd-629406-10-[Cu4Ti3]

-4.71613

-4.71644

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

-4.70633

-4.70637

icsd-639879-10-[In5In4]

-4.68616

-4.68576

icsd-16504-01-[CrSi2]

-4.66453

-4.66463

icsd-185626-10-[Al3Ni2]

-4.60703

-4.60636

icsd-5258-01-[FeSi2]

-4.56919

-4.56926

icsd-239-10-[Cu3Se2]

-4.56585

-4.56583

icsd-629380-10-[Al3Os2]

-4.56499

-4.5646

icsd-639148-01-[NiHg4]

-4.54136

-4.53926

icsd-108762-01-[Hg4Pt]

-4.54136

-4.53926

icsd-424636-01-[MnGa4]

-4.54136

-4.53926

icsd-59586-01-[Pd5Th3]

-4.53062

-4.53076

icsd-16606-01-[Nb3Te4]

-4.49156

-4.49087

icsd-30446-01-[Fe2B]

-4.48396

-4.48467

icsd-105726-01-[Pd5Ti3]

-4.48246

-4.48173

icsd-106786-10-[Hg2Pt]

-4.47967

-4.48022

icsd-610464-10-[PbClF/Cu2Sb]

-4.47527

-4.47409

icsd-73839-01-[Ni3S2]

-4.46482

-4.467

icsd-169457-10-[ZrH2]

-4.45536

-4.45535

icsd-103775-01-[NaTl]

-4.43838

-4.43975

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

-4.43434

-4.43166

icsd-611176-01-[Fe2P]

-4.41302

-4.42229

icsd-659829-01-[Al2Li3]

-4.40467

-4.40571

icsd-409859-10-[La2Sb]

-4.38967

-4.39057

icsd-635642-01-[Hg5Mn2]

-4.38129

-4.3812

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

-4.3531

-4.3505

icsd-58607-10-[Au2Ti]

-4.34472

-4.34428

icsd-652553-10-[AlCr2-MoSi2]

-4.34449

-4.34436

icsd-58471-01-[CuZr2]

-4.34444

-4.34435

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

-4.33873

-4.33847

icsd-155842-10-[Co5Fe11]

-4.31462

-4.31878

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

-4.29636

-4.29686

icsd-105948-01-[InNi2]

-4.29636

-4.29686

icsd-635208-10-[CoGa3]

-4.2265

-4.23271

icsd-640726-10-[CuSmP2]

-4.22243

-4.22324

icsd-643301-01-[Au3Cd]

-4.22232

-4.22322

icsd-416747-01-[Al3Zr]

-4.22226

-4.22324

icsd-73839-10-[Ni3S2]

-4.215

-4.22403

icsd-248490-10-[Pt2Si]

-4.19278

-4.19132

icsd-638227-10-[Fluorite-CaF2]

-4.19276

-4.19133

icsd-420250-01-[LiPd2Tl]

-4.17896

-4.1787

icsd-105191-01-[Al3Ti]

-4.17896

-4.1787

icsd-260285-01-[UCl3]

-4.13144

-4.13058

icsd-104506-01-[Ni3Sn]

-4.13144

-4.13059

icsd-424636-10-[MnGa4]

-4.12188

-4.12134

icsd-108762-10-[Hg4Pt]

-4.12188

-4.12134

icsd-639148-10-[NiHg4]

-4.12188

-4.12134

icsd-649037-01-[Ni3Ti]

-4.11705

-4.1188

icsd-181127-10-[Auricupride-AuCu3]

-4.0985

-4.09911

icsd-648572-01-[CuInPt2]

-4.0985

-4.09911

icsd-99787-10-[Fe3Pt]

-4.0985

-4.09912

icsd-609153-01-[AlPt3]

-4.0985

-4.09923

icsd-69199-01-[U3Si]

-4.0985

-4.09924

icsd-648748-10-[Pd4Se]

-4.09451

-4.09772

icsd-42773-10-[IrGe4]

-4.07864

-4.10174

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

-4.07684

-4.07738

icsd-107998-10-[MoNi4]

-4.06646

-4.06712

icsd-246555-10-[Co2Nd]

-3.99297

-3.99234

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

-3.96297

-3.96151

icsd-167735-10-[Ru2B3]

-3.93111

-3.92906

icsd-105521-10-[Al5W]

-3.90646

-3.90623

icsd-188260-10-[Heusler-AlCu2Mn]

-3.90155

-3.90051

icsd-189695-01-[CuHg2Ti]

-3.90155

-3.90051

icsd-150584-10-[Fe13Ge3]

-3.81717

-3.81737

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

-3.7895

-3.78904

icsd-97006-10-[InMg2]

-3.73448

-3.73408

icsd-58745-01-[Fe6Ge6Mg]

-3.42927

-3.43129

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.863

5.785

7.688

5.785

90.0

80.57

90.0

DFT

16.165

6.371

6.371

6.371

90.0

90.0

90.0

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

1

2

3

4

5

6

208.2

97.8

106.3

0.0

-2.5

0.0

97.8

225.5

100.7

0.0

-8.5

0.0

106.3

100.7

208.4

0.0

2.0

0.0

0.0

0.0

0.0

61.9

0.0

-25.2

-2.5

-8.5

2.0

0.0

37.8

0.0

0.0

0.0

0.0

-25.2

0.0

53.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.604

4.496

4.496

5.348

90.0

90.0

120.0

DFT

15.722

4.507

4.507

5.363

90.0

90.0

120.0

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

1

2

3

4

5

6

275.5

161.0

63.4

0.0

0.0

0.0

161.0

275.5

63.4

0.0

0.0

0.0

63.4

63.4

315.0

0.0

0.0

0.0

0.0

0.0

0.0

62.9

0.0

0.0

0.0

0.0

0.0

0.0

62.9

0.0

0.0

0.0

0.0

0.0

0.0

57.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.283

2.962

2.962

4.285

90.0

90.0

120.0

DFT

16.292

2.964

2.964

4.282

90.0

90.0

120.0

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

1

2

3

4

5

6

169.4

97.0

108.0

0.0

0.0

0.0

97.0

169.4

108.0

0.0

0.0

0.0

108.0

108.0

271.7

0.0

0.0

0.0

0.0

0.0

0.0

76.9

0.0

0.0

0.0

0.0

0.0

0.0

76.9

0.0

0.0

0.0

0.0

0.0

0.0

36.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.214

6.57

6.57

3.756

90.0

90.0

90.0

DFT

16.333

6.521

6.521

3.841

90.0

90.0

90.0

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

1

2

3

4

5

6

187.2

95.4

137.9

0.0

0.0

-4.2

95.4

187.2

137.9

0.0

0.0

4.2

137.9

137.9

169.0

0.0

0.0

0.0

0.0

0.0

0.0

60.7

0.0

0.0

0.0

0.0

0.0

0.0

60.7

0.0

-4.2

4.2

0.0

0.0

0.0

54.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.397

3.845

3.845

9.412

90.0

90.0

90.0

DFT

17.341

3.86

3.86

9.313

90.0

90.0

90.0

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

1

2

3

4

5

6

77.3

98.0

37.7

0.0

0.0

0.0

98.0

77.3

37.7

0.0

0.0

0.0

37.7

37.7

55.1

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

46.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.859

3.165

3.165

3.165

90.0

90.0

90.0

DFT

16.252

3.191

3.191

3.191

90.0

90.0

90.0

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

1

2

3

4

5

6

-53.6

106.1

106.1

0.0

0.0

0.0

106.1

-53.6

106.1

0.0

0.0

0.0

106.1

106.1

-53.6

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

0.0

0.0

0.0

0.0

0.0

-20.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.022

4.002

4.002

4.002

90.0

90.0

90.0

DFT

16.007

4.001

4.001

4.001

90.0

90.0

90.0

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

1

2

3

4

5

6

118.8

126.1

126.1

0.0

0.0

0.0

126.1

118.8

126.1

0.0

0.0

0.0

126.1

126.1

118.8

0.0

0.0

0.0

0.0

0.0

0.0

76.9

0.0

0.0

0.0

0.0

0.0

0.0

76.9

0.0

0.0

0.0

0.0

0.0

0.0

76.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.33

3.711

3.711

7.113

90.0

90.0

90.0

DFT

16.34

3.694

3.694

7.185

90.0

90.0

90.0

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

1

2

3

4

5

6

173.4

119.2

110.8

0.0

0.0

0.0

119.2

173.4

110.8

0.0

0.0

0.0

110.8

110.8

368.2

0.0

0.0

0.0

0.0

0.0

0.0

64.3

0.0

0.0

0.0

0.0

0.0

0.0

64.3

0.0

0.0

0.0

0.0

0.0

0.0

70.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.497

3.743

3.743

19.985

90.0

90.0

90.0

DFT

17.568

3.762

3.762

19.862

90.0

90.0

90.0

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

1

2

3

4

5

6

153.3

102.3

41.7

0.0

0.0

0.0

102.3

153.3

41.7

0.0

0.0

0.0

41.7

41.7

128.6

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

-3.1

0.0

0.0

0.0

0.0

0.0

0.0

82.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.415

5.083

5.083

5.083

90.0

90.0

90.0

DFT

16.467

5.088

5.088

5.088

90.0

90.0

90.0

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

1

2

3

4

5

6

162.7

73.1

73.1

0.0

0.0

0.0

73.1

162.7

73.1

0.0

0.0

0.0

73.1

73.1

162.7

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

2.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.145

6.802

6.802

3.489

90.0

90.0

90.0

DFT

16.169

6.813

6.813

3.483

90.0

90.0

90.0

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

1

2

3

4

5

6

355.1

136.8

115.8

0.0

0.0

0.0

136.8

355.1

115.8

0.0

0.0

0.0

115.8

115.8

236.7

0.0

0.0

0.0

0.0

0.0

0.0

96.1

0.0

0.0

0.0

0.0

0.0

0.0

96.1

0.0

0.0

0.0

0.0

0.0

0.0

98.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.94

5.57

5.889

4.58

90.0

90.0

121.91

DFT

15.986

5.677

5.677

4.583

90.0

90.0

120.0

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

1

2

3

4

5

6

259.8

130.9

99.8

0.0

0.0

-2.8

130.9

245.9

119.5

0.0

0.0

16.9

99.8

119.5

194.2

0.0

0.0

-20.0

0.0

0.0

0.0

71.4

-20.6

0.0

0.0

0.0

0.0

-20.6

51.1

0.0

-2.8

16.9

-20.0

0.0

0.0

45.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.151

3.061

14.212

7.096

90.0

90.0

90.0

DFT

17.268

2.976

14.298

7.304

90.0

90.0

90.0

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

1

2

3

4

5

6

114.3

94.2

93.3

0.0

0.0

0.0

94.2

158.7

77.1

0.0

0.0

0.0

93.3

77.1

139.9

0.0

0.0

0.0

0.0

0.0

0.0

-2.7

0.0

0.0

0.0

0.0

0.0

0.0

28.8

0.0

0.0

0.0

0.0

0.0

0.0

51.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.32

3.635

3.635

7.866

90.0

90.0

90.0

DFT

17.159

3.668

3.668

7.653

90.0

90.0

90.0

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

1

2

3

4

5

6

128.8

78.1

52.0

0.0

0.0

0.0

78.1

128.8

52.0

0.0

0.0

0.0

52.0

52.0

153.6

0.0

0.0

0.0

0.0

0.0

0.0

-52.6

0.0

0.0

0.0

0.0

0.0

0.0

-52.6

0.0

0.0

0.0

0.0

0.0

0.0

88.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.959

5.67

5.407

5.207

90.0

102.97

118.48

DFT

17.409

5.623

5.623

5.087

90.0

90.0

120.0

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

1

2

3

4

5

6

125.1

82.4

54.3

8.1

14.7

7.4

82.4

133.0

44.3

6.6

12.3

-11.8

54.3

44.3

159.0

-2.0

-3.7

7.5

8.1

6.6

-2.0

23.9

7.6

1.5

14.7

12.3

-3.7

7.6

33.9

4.0

7.4

-11.8

7.5

1.5

4.0

32.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.384

5.478

5.352

10.949

83.68

89.34

119.04

DFT

17.393

5.623

5.623

10.162

90.0

90.0

120.0

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

1

2

3

4

5

6

161.7

79.8

71.0

0.1

5.2

2.5

79.8

142.9

76.9

1.4

1.4

-4.1

71.0

76.9

116.0

-2.0

4.0

2.3

0.1

1.4

-2.0

27.3

6.7

3.7

5.2

1.4

4.0

6.7

30.2

-0.2

2.5

-4.1

2.3

3.7

-0.2

36.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.112

6.92

6.92

3.497

90.0

90.0

120.0

DFT

16.364

6.966

6.966

3.504

90.0

90.0

120.0

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

1

2

3

4

5

6

320.4

156.1

186.8

0.0

0.0

0.0

156.1

320.4

186.8

0.0

0.0

0.0

186.8

186.8

262.1

0.0

0.0

0.0

0.0

0.0

0.0

106.2

0.0

0.0

0.0

0.0

0.0

0.0

106.2

0.0

0.0

0.0

0.0

0.0

0.0

82.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.109

6.756

6.756

3.748

90.0

90.0

90.0

DFT

17.279

6.706

6.706

3.843

90.0

90.0

90.0

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

1

2

3

4

5

6

132.6

86.2

53.9

0.0

0.0

17.5

86.2

132.6

53.9

0.0

0.0

-17.5

53.9

53.9

110.6

0.0

0.0

0.0

0.0

0.0

0.0

49.0

0.0

0.0

0.0

0.0

0.0

0.0

49.0

0.0

17.5

-17.5

0.0

0.0

0.0

26.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.516

5.022

5.022

9.075

90.0

90.0

120.0

DFT

16.873

5.217

5.217

8.59

90.0

90.0

120.0

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

1

2

3

4

5

6

225.5

94.6

92.9

0.0

0.0

0.0

94.6

225.5

92.9

0.0

0.0

0.0

92.9

92.9

266.3

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

65.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.049

4.966

4.966

6.763

90.0

90.0

120.0

DFT

16.149

4.952

4.952

6.843

90.0

90.0

120.0

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

1

2

3

4

5

6

211.4

56.3

56.2

0.0

0.0

0.0

56.3

211.4

56.2

0.0

0.0

0.0

56.2

56.2

253.0

0.0

0.0

0.0

0.0

0.0

0.0

79.0

0.0

0.0

0.0

0.0

0.0

0.0

79.0

0.0

0.0

0.0

0.0

0.0

0.0

77.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.221

6.631

6.631

6.631

90.0

90.0

90.0

DFT

18.218

6.63

6.63

6.63

90.0

90.0

90.0

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

1

2

3

4

5

6

22.1

102.8

102.8

0.0

0.0

0.0

102.8

22.1

102.8

0.0

0.0

0.0

102.8

102.8

22.1

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

-7.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.77

5.217

4.088

5.337

90.0

75.24

113.07

DFT

17.187

4.76

4.76

5.256

90.0

90.0

120.0

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

1

2

3

4

5

6

174.5

67.1

63.0

12.1

16.5

-2.4

67.1

144.4

79.6

-2.0

7.3

16.7

63.0

79.6

188.5

5.5

13.0

-9.3

12.1

-2.0

5.5

49.0

2.4

-1.4

16.5

7.3

13.0

2.4

53.6

5.4

-2.4

16.7

-9.3

-1.4

5.4

44.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.3

4.106

4.106

4.106

90.0

90.0

90.0

DFT

17.268

4.103

4.103

4.103

90.0

90.0

90.0

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

1

2

3

4

5

6

69.7

94.3

94.3

0.0

0.0

0.0

94.3

69.7

94.3

0.0

0.0

0.0

94.3

94.3

69.7

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

2.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.259

2.976

2.976

8.478

90.0

90.0

120.0

DFT

16.251

2.974

2.974

8.485

90.0

90.0

120.0

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

1

2

3

4

5

6

166.2

69.1

102.7

0.0

0.0

0.0

69.1

166.2

102.7

0.0

0.0

0.0

102.7

102.7

259.7

0.0

0.0

0.0

0.0

0.0

0.0

88.7

0.0

0.0

0.0

0.0

0.0

0.0

88.7

0.0

0.0

0.0

0.0

0.0

0.0

48.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.062

3.906

3.906

8.422

90.0

90.0

90.0

DFT

16.094

3.873

3.873

8.581

90.0

90.0

90.0

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

1

2

3

4

5

6

175.8

108.2

117.7

0.0

0.0

0.0

108.2

175.8

117.7

0.0

0.0

0.0

117.7

117.7

210.5

0.0

0.0

0.0

0.0

0.0

0.0

69.3

0.0

0.0

0.0

0.0

0.0

0.0

69.3

0.0

0.0

0.0

0.0

0.0

0.0

71.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.188

6.75

6.75

3.773

90.0

90.0

90.0

DFT

17.187

6.739

6.739

3.785

90.0

90.0

90.0

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

1

2

3

4

5

6

157.8

143.9

83.5

0.0

0.0

0.0

143.9

157.8

83.5

0.0

0.0

0.0

83.5

83.5

186.3

0.0

0.0

0.0

0.0

0.0

0.0

60.7

0.0

0.0

0.0

0.0

0.0

0.0

60.7

0.0

0.0

0.0

0.0

0.0

0.0

58.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.43

6.806

6.779

7.305

90.0

90.0

136.23

DFT

17.905

5.696

5.696

7.646

90.0

90.0

120.0

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

1

2

3

4

5

6

65.6

42.8

32.9

0.0

0.0

-11.0

42.8

116.2

45.8

0.0

0.0

34.6

32.9

45.8

150.9

0.0

0.0

6.3

0.0

0.0

0.0

36.9

8.5

0.0

0.0

0.0

0.0

8.5

19.9

0.0

-11.0

34.6

6.3

0.0

0.0

21.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.953

4.839

4.839

7.079

90.0

90.0

120.0

DFT

16.05

4.868

4.868

7.038

90.0

90.0

120.0

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

1

2

3

4

5

6

313.2

148.1

140.9

0.0

0.0

0.0

148.1

313.2

140.9

0.0

0.0

0.0

140.9

140.9

315.2

0.0

0.0

0.0

0.0

0.0

0.0

60.5

0.0

0.0

0.0

0.0

0.0

0.0

60.5

0.0

0.0

0.0

0.0

0.0

0.0

82.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.789

6.452

6.452

6.452

90.0

90.0

90.0

DFT

16.732

6.445

6.445

6.445

90.0

90.0

90.0

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

1

2

3

4

5

6

3.3

165.9

165.9

0.0

0.0

0.0

165.9

3.3

165.9

0.0

0.0

0.0

165.9

165.9

3.3

0.0

0.0

0.0

0.0

0.0

0.0

12.5

0.0

0.0

0.0

0.0

0.0

0.0

12.5

0.0

0.0

0.0

0.0

0.0

0.0

12.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.894

5.572

5.781

9.235

90.0

90.0

121.25

DFT

15.984

5.663

5.663

9.208

90.0

90.0

120.0

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

1

2

3

4

5

6

214.0

132.4

84.7

0.0

0.0

7.4

132.4

192.9

88.9

0.0

0.0

12.9

84.7

88.9

188.4

0.0

0.0

-4.1

0.0

0.0

0.0

45.6

-8.7

0.0

0.0

0.0

0.0

-8.7

36.6

0.0

7.4

12.9

-4.1

0.0

0.0

31.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.013

3.928

3.928

16.605

90.0

90.0

90.0

DFT

16.041

3.891

3.891

16.955

90.0

90.0

90.0

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

1

2

3

4

5

6

148.7

120.9

119.9

0.0

0.0

0.0

120.9

148.7

119.9

0.0

0.0

0.0

119.9

119.9

181.2

0.0

0.0

0.0

0.0

0.0

0.0

73.7

0.0

0.0

0.0

0.0

0.0

0.0

73.7

0.0

0.0

0.0

0.0

0.0

0.0

78.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.918

2.874

2.874

3.855

90.0

90.0

90.0

DFT

15.896

2.88

2.88

3.834

90.0

90.0

90.0

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

1

2

3

4

5

6

166.7

69.4

80.6

0.0

0.0

0.0

69.4

166.7

80.6

0.0

0.0

0.0

80.6

80.6

191.4

0.0

0.0

0.0

0.0

0.0

0.0

45.3

0.0

0.0

0.0

0.0

0.0

0.0

45.3

0.0

0.0

0.0

0.0

0.0

0.0

-28.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

15.923

6.339

6.339

6.339

90.0

90.0

90.0

DFT

15.894

6.336

6.336

6.336

90.0

90.0

90.0

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

1

2

3

4

5

6

103.0

146.0

146.0

0.0

0.0

0.0

146.0

103.0

146.0

0.0

0.0

0.0

146.0

146.0

103.0

0.0

0.0

0.0

0.0

0.0

0.0

68.9

0.0

0.0

0.0

0.0

0.0

0.0

68.9

0.0

0.0

0.0

0.0

0.0

0.0

68.9