gtinv-725 (Zn-Ge-2022-06-12)

Energy distribution

../../../../_images/distribution1097.png

Convex hull (formation energy)

../../../../_images/convex1097.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Zn

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-sep1097.png

Prototype structure energy

../../../../_images/icsd-pred1097.png

Phonon density of states

../../../../_images/dos1097.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-01-[Fe6Ge6Mg]

-3.14405

-3.14608

icsd-97006-10-[InMg2]

-3.13758

-3.13514

icsd-105521-10-[Al5W]

-3.00241

-3.00123

icsd-167735-10-[Ru2B3]

-2.98615

-2.98955

icsd-42773-10-[IrGe4]

-2.95027

-2.96147

icsd-150584-10-[Fe13Ge3]

-2.93903

-2.93648

icsd-648748-10-[Pd4Se]

-2.931

-2.94357

icsd-107998-10-[MoNi4]

-2.92191

-2.92433

icsd-105191-01-[Al3Ti]

-2.80263

-2.8026

icsd-420250-01-[LiPd2Tl]

-2.80263

-2.8026

icsd-69199-01-[U3Si]

-2.80182

-2.80126

icsd-609153-01-[AlPt3]

-2.80181

-2.80114

icsd-181127-10-[Auricupride-AuCu3]

-2.8018

-2.80126

icsd-99787-10-[Fe3Pt]

-2.8018

-2.80126

icsd-648572-01-[CuInPt2]

-2.8018

-2.80126

icsd-643301-01-[Au3Cd]

-2.80048

-2.80082

icsd-640726-10-[CuSmP2]

-2.80047

-2.80084

icsd-416747-01-[Al3Zr]

-2.80047

-2.80084

icsd-649037-01-[Ni3Ti]

-2.79997

-2.79718

icsd-104506-01-[Ni3Sn]

-2.79901

-2.79556

icsd-260285-01-[UCl3]

-2.79899

-2.79553

icsd-424636-10-[MnGa4]

-2.79683

-2.79666

icsd-108762-10-[Hg4Pt]

-2.79683

-2.79666

icsd-639148-10-[NiHg4]

-2.79683

-2.79666

icsd-188260-10-[Heusler-AlCu2Mn]

-2.77779

-2.78288

icsd-189695-01-[CuHg2Ti]

-2.77778

-2.78288

icsd-635642-01-[Hg5Mn2]

-2.72445

-2.72741

icsd-635208-10-[CoGa3]

-2.70294

-2.6935

icsd-155842-10-[Co5Fe11]

-2.65403

-2.65126

icsd-638227-10-[Fluorite-CaF2]

-2.64096

-2.64021

icsd-248490-10-[Pt2Si]

-2.64094

-2.64067

icsd-169457-10-[ZrH2]

-2.64086

-2.64069

icsd-611176-01-[Fe2P]

-2.63641

-2.63296

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

-2.63358

-2.63401

icsd-5258-01-[FeSi2]

-2.62107

-2.62019

icsd-30446-01-[Fe2B]

-2.61871

-2.61818

icsd-58471-01-[CuZr2]

-2.61829

-2.61767

icsd-58607-10-[Au2Ti]

-2.61815

-2.61769

icsd-652553-10-[AlCr2-MoSi2]

-2.61806

-2.61769

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

-2.61319

-2.61425

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

-2.60825

-2.60838

icsd-106786-10-[Hg2Pt]

-2.60795

-2.60884

icsd-610464-10-[PbClF/Cu2Sb]

-2.59971

-2.59632

icsd-16504-01-[CrSi2]

-2.59935

-2.59798

icsd-409859-10-[La2Sb]

-2.58778

-2.59096

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

-2.57971

-2.58091

icsd-105948-01-[InNi2]

-2.57971

-2.58091

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

-2.52953

-2.53045

icsd-59586-01-[Pd5Th3]

-2.51855

-2.51902

icsd-105726-01-[Pd5Ti3]

-2.51445

-2.5155

icsd-185626-10-[Al3Ni2]

-2.47122

-2.47556

icsd-239-10-[Cu3Se2]

-2.46485

-2.46517

icsd-629380-10-[Al3Os2]

-2.45498

-2.45488

icsd-246555-10-[Co2Nd]

-2.45376

-2.45274

icsd-103995-01-[Ga3Ti2]

-2.44888

-2.44805

icsd-659829-01-[Al2Li3]

-2.44075

-2.44201

icsd-73839-10-[Ni3S2]

-2.43454

-2.44111

icsd-639227-10-[Si2U3]

-2.41634

-2.41574

icsd-629406-10-[Cu4Ti3]

-2.39574

-2.39659

icsd-16606-01-[Nb3Te4]

-2.35426

-2.36235

icsd-639879-10-[In5In4]

-2.31854

-2.31899

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

-2.22798

-2.22965

icsd-639037-01-[HgIn]

-2.22797

-2.22966

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

-2.22788

-2.22967

icsd-55492-01-[BaPt]

-2.22106

-2.2185

icsd-618702-01-[ScTe]

-2.21447

-2.21486

icsd-611618-01-[TiAs]

-2.21438

-2.21486

icsd-611457-01-[NbAs]

-2.21358

-2.21409

icsd-105636-01-[PbU]

-2.21357

-2.2141

icsd-102712-01-[CoU]

-2.21338

-2.20962

icsd-100654-01-[BiSe]

-2.21277

-2.21227

icsd-106325-01-[BiIn]

-2.2126

-2.21275

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

-2.21259

-2.21288

icsd-59508-01-[AuCu]

-2.21259

-2.21288

icsd-108707-01-[HgMn]

-2.21258

-2.21288

icsd-42428-01-[Fe3Pt]

-2.2123

-2.21287

icsd-626692-01-[Nickeline-NiAs]

-2.20238

-2.20344

icsd-168897-01-[LaI]

-2.20237

-2.20343

icsd-644708-01-[WC]

-2.18952

-2.18883

icsd-659856-01-[LiPt]

-2.18942

-2.18887

icsd-635060-01-[Fersilicite-FeSi]

-2.18504

-2.18129

icsd-618295-01-[MoC1-x]

-2.17916

-2.17992

icsd-650527-01-[CsCl]

-2.17652

-2.17434

icsd-103775-01-[NaTl]

-2.17292

-2.17342

icsd-240119-01-[AlLi]

-2.1729

-2.17311

icsd-181788-01-[NaCl]

-2.16444

-2.16419

icsd-42472-01-[CoO]

-2.16438

-2.16401

icsd-161109-01-[CoSn]

-2.13453

-2.13696

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

-2.11641

-2.11522

icsd-629406-01-[Cu4Ti3]

-2.06314

-2.06102

icsd-639879-01-[In5In4]

-2.06247

-2.06201

icsd-16606-10-[Nb3Te4]

-2.02387

-2.0266

icsd-239-01-[Cu3Se2]

-1.99058

-1.99109

icsd-103995-10-[Ga3Ti2]

-1.98305

-1.98358

icsd-73839-01-[Ni3S2]

-1.97803

-1.97767

icsd-185626-01-[Al3Ni2]

-1.97359

-1.97999

icsd-629380-01-[Al3Os2]

-1.96701

-1.9677

icsd-659829-10-[Al2Li3]

-1.95488

-1.95557

icsd-639227-01-[Si2U3]

-1.92918

-1.92967

icsd-105726-10-[Pd5Ti3]

-1.92728

-1.92707

icsd-59586-10-[Pd5Th3]

-1.90317

-1.90654

icsd-638227-01-[Fluorite-CaF2]

-1.89639

-1.89767

icsd-248490-01-[Pt2Si]

-1.89639

-1.89756

icsd-169457-01-[ZrH2]

-1.89624

-1.89754

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

-1.8609

-1.86068

icsd-610464-01-[PbClF/Cu2Sb]

-1.85554

-1.85192

icsd-409859-01-[La2Sb]

-1.85352

-1.85341

icsd-58471-10-[CuZr2]

-1.83263

-1.83212

icsd-58607-01-[Au2Ti]

-1.83258

-1.83212

icsd-652553-01-[AlCr2-MoSi2]

-1.83253

-1.8321

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

-1.82937

-1.82729

icsd-16504-10-[CrSi2]

-1.82151

-1.82391

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

-1.8177

-1.81985

icsd-246555-01-[Co2Nd]

-1.80212

-1.80197

icsd-611176-10-[Fe2P]

-1.80098

-1.79951

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

-1.79556

-1.79383

icsd-106786-01-[Hg2Pt]

-1.79275

-1.78905

icsd-105948-10-[InNi2]

-1.7771

-1.77664

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

-1.7771

-1.77664

icsd-5258-10-[FeSi2]

-1.76522

-1.76482

icsd-155842-01-[Co5Fe11]

-1.76138

-1.76129

icsd-30446-10-[Fe2B]

-1.75408

-1.75416

icsd-635642-10-[Hg5Mn2]

-1.68871

-1.70522

icsd-643301-10-[Au3Cd]

-1.63914

-1.63808

icsd-648572-10-[CuInPt2]

-1.6391

-1.63817

icsd-609153-10-[AlPt3]

-1.6391

-1.63857

icsd-181127-01-[Auricupride-AuCu3]

-1.63909

-1.63816

icsd-99787-01-[Fe3Pt]

-1.63905

-1.63814

icsd-416747-10-[Al3Zr]

-1.63895

-1.63808

icsd-640726-01-[CuSmP2]

-1.63894

-1.63808

icsd-69199-10-[U3Si]

-1.63892

-1.63841

icsd-420250-10-[LiPd2Tl]

-1.63806

-1.63614

icsd-105191-10-[Al3Ti]

-1.63803

-1.63613

icsd-649037-10-[Ni3Ti]

-1.62581

-1.62305

icsd-260285-10-[UCl3]

-1.61631

-1.61167

icsd-104506-10-[Ni3Sn]

-1.61507

-1.61891

icsd-188260-01-[Heusler-AlCu2Mn]

-1.57849

-1.57189

icsd-189695-10-[CuHg2Ti]

-1.57849

-1.57189

icsd-107998-01-[MoNi4]

-1.52829

-1.52769

icsd-167735-01-[Ru2B3]

-1.5175

-1.5182

icsd-635208-01-[CoGa3]

-1.51299

-1.51654

icsd-42773-01-[IrGe4]

-1.48887

-1.49433

icsd-648748-01-[Pd4Se]

-1.46775

-1.46885

icsd-105521-01-[Al5W]

-1.43912

-1.43979

icsd-150584-01-[Fe13Ge3]

-1.42803

-1.43052

icsd-639148-01-[NiHg4]

-1.31107

-1.3109

icsd-108762-01-[Hg4Pt]

-1.31107

-1.3109

icsd-424636-01-[MnGa4]

-1.31107

-1.3109

icsd-97006-01-[InMg2]

-1.2852

-1.28808

icsd-58745-10-[Fe6Ge6Mg]

-1.22693

-1.20794

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.005

6.604

6.604

6.604

90.0

90.0

90.0

DFT

18.042

6.609

6.609

6.609

90.0

90.0

90.0

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

1

2

3

4

5

6

74.4

55.6

55.6

0.0

0.0

0.0

55.6

74.4

55.6

0.0

0.0

0.0

55.6

55.6

74.4

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

-1.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.309

6.388

6.388

5.739

90.0

90.0

153.67

DFT

17.299

4.75

4.75

5.311

90.0

90.0

120.0

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

1

2

3

4

5

6

96.3

69.1

48.3

0.0

0.0

-5.0

69.1

79.2

56.4

0.0

0.0

0.8

48.3

56.4

78.1

0.0

0.0

2.0

0.0

0.0

0.0

14.6

1.8

0.0

0.0

0.0

0.0

1.8

7.2

0.0

-5.0

0.8

2.0

0.0

0.0

4.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.754

2.942

4.16

4.103

90.0

90.0

135.0

DFT

17.849

2.914

2.914

4.855

90.0

90.0

120.0

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

1

2

3

4

5

6

84.5

60.5

70.8

0.0

0.0

0.0

60.5

84.5

70.8

0.0

0.0

0.0

70.8

70.8

107.7

0.0

0.0

0.0

0.0

0.0

0.0

0.8

0.0

0.0

0.0

0.0

0.0

0.0

0.8

0.0

0.0

0.0

0.0

0.0

0.0

10.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.307

6.346

6.346

4.05

90.0

90.0

90.0

DFT

16.118

6.369

6.369

3.973

90.0

90.0

90.0

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

1

2

3

4

5

6

103.4

67.3

55.0

0.0

0.0

14.4

67.3

100.7

54.3

0.0

0.0

-14.2

55.0

54.3

118.1

0.0

0.0

0.0

0.0

0.0

0.0

-3.8

0.0

0.0

0.0

0.0

0.0

0.0

-3.8

0.0

14.4

-14.2

0.0

0.0

0.0

6.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.874

4.069

4.069

9.122

90.0

90.0

90.0

DFT

18.783

4.075

4.075

9.049

90.0

90.0

90.0

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

1

2

3

4

5

6

69.2

58.3

62.6

0.0

0.0

0.0

58.3

69.2

62.6

0.0

0.0

0.0

62.6

62.6

87.5

0.0

0.0

0.0

0.0

0.0

0.0

6.6

0.0

0.0

0.0

0.0

0.0

0.0

6.6

0.0

0.0

0.0

0.0

0.0

0.0

25.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.641

3.28

3.28

3.28

90.0

90.0

90.0

DFT

17.873

3.294

3.294

3.294

90.0

90.0

90.0

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

1

2

3

4

5

6

63.4

88.5

88.5

0.0

0.0

0.0

88.5

63.4

88.5

0.0

0.0

0.0

88.5

88.5

63.4

0.0

0.0

0.0

0.0

0.0

0.0

-1.6

0.0

0.0

0.0

0.0

0.0

0.0

-1.6

0.0

0.0

0.0

0.0

0.0

0.0

-1.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.446

4.037

4.037

4.037

90.0

90.0

90.0

DFT

16.429

4.035

4.035

4.035

90.0

90.0

90.0

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

1

2

3

4

5

6

126.7

54.1

54.1

0.0

0.0

0.0

54.1

126.7

54.1

0.0

0.0

0.0

54.1

54.1

126.7

0.0

0.0

0.0

0.0

0.0

0.0

-4.3

0.0

0.0

0.0

0.0

0.0

0.0

-4.3

0.0

0.0

0.0

0.0

0.0

0.0

-4.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.452

4.039

4.039

6.417

90.0

90.0

90.0

DFT

17.446

4.102

4.102

6.221

90.0

90.0

90.0

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

1

2

3

4

5

6

109.5

52.6

60.7

0.0

0.0

0.0

52.6

109.5

60.7

0.0

0.0

0.0

60.7

60.7

92.0

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

15.8

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.726

4.308

4.308

16.145

90.0

90.0

90.0

DFT

18.788

4.093

4.093

17.941

90.0

90.0

90.0

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

1

2

3

4

5

6

64.9

70.2

64.6

0.0

0.0

0.0

70.2

64.9

64.6

0.0

0.0

0.0

64.6

64.6

75.9

0.0

0.0

0.0

0.0

0.0

0.0

4.8

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

2.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.33

5.273

5.273

5.273

90.0

90.0

90.0

DFT

18.102

5.251

5.251

5.251

90.0

90.0

90.0

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

1

2

3

4

5

6

139125.1

-35363.5

-27179.4

1498.9

0.0

0.0

-35363.5

13435.9

1542.6

0.0

-1498.9

-1502.7

-27179.4

1542.6

139125.1

0.0

0.0

-1498.8

1498.9

0.0

0.0

-2112.5

0.0

0.0

0.0

-1498.9

0.0

0.0

-2110.7

0.0

0.0

-1502.7

-1498.8

0.0

0.0

-2112.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.775

6.966

6.966

3.869

90.0

90.0

90.0

DFT

18.364

6.826

6.826

3.942

90.0

90.0

90.0

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

1

2

3

4

5

6

4644.2

-4543.6

46.8

0.0

17855.8

0.0

-4543.6

4644.2

46.8

0.0

15551.6

0.0

46.8

46.8

88.6

0.0

41530.2

0.0

0.0

0.0

0.0

7.7

0.0

0.0

17855.8

15551.6

41530.2

0.0

5.3

0.0

0.0

0.0

0.0

0.0

0.0

9.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.873

5.373

9.306

5.399

90.0

90.0

90.0

DFT

16.794

6.055

8.963

4.951

90.0

90.0

90.0

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

1

2

3

4

5

6

103.9

88.0

48.1

0.0

0.0

0.0

88.0

103.9

48.1

0.0

0.0

0.0

48.1

48.1

74.3

0.0

0.0

0.0

0.0

0.0

0.0

7.4

0.0

0.0

0.0

0.0

0.0

0.0

7.4

0.0

0.0

0.0

0.0

0.0

0.0

8.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.579

2.888

11.59

9.992

90.0

90.0

90.0

DFT

18.542

2.902

11.592

9.92

90.0

90.0

90.0

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

1

2

3

4

5

6

65.3

34.7

40.3

0.0

0.0

0.0

34.7

75.5

51.5

0.0

0.0

0.0

40.3

51.5

68.1

0.0

0.0

0.0

0.0

0.0

0.0

19.6

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

-17.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.698

3.841

3.841

7.602

90.0

90.0

90.0

DFT

18.806

3.917

3.917

7.355

90.0

90.0

90.0

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

1

2

3

4

5

6

93.4

83.5

68.8

0.0

0.0

0.0

83.5

93.4

68.8

0.0

0.0

0.0

68.8

68.8

93.7

0.0

0.0

0.0

0.0

0.0

0.0

6.9

0.0

0.0

0.0

0.0

0.0

0.0

6.9

0.0

0.0

0.0

0.0

0.0

0.0

43.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.143

5.783

9.743

6.108

112.8

77.43

87.26

DFT

18.742

5.882

10.212

4.992

90.0

90.0

90.0

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

1

2

3

4

5

6

96.3

64.7

11.6

0.0

0.0

-0.3

64.7

112.7

11.9

0.0

0.0

-12.5

11.6

11.9

120.9

0.0

0.0

-0.2

0.0

0.0

0.0

19.6

0.9

0.2

0.0

0.0

0.0

0.9

20.8

4.6

-0.3

-12.5

-0.2

0.2

4.6

25.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.84

5.898

5.898

10.006

90.0

90.0

120.0

DFT

18.755

5.939

5.939

9.822

90.0

90.0

120.0

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

1

2

3

4

5

6

-79859.8

74011.2

16325.7

0.0

0.0

-103817.4

74011.2

-152216.6

32.7

0.0

0.0

-37692.7

16325.7

32.7

80.5

0.0

0.0

1.6

0.0

0.0

0.0

10.2

-1.8

0.0

0.0

0.0

0.0

-1.8

7.7

0.0

-103817.4

-37692.7

1.6

0.0

0.0

5.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.717

3.952

11.823

6.826

90.0

90.0

90.0

DFT

17.344

3.022

13.638

7.575

90.0

90.0

90.0

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

1

2

3

4

5

6

104.4

64.1

65.5

0.0

0.0

0.0

64.1

83.0

76.2

0.0

0.0

0.0

65.5

76.2

86.8

0.0

0.0

0.0

0.0

0.0

0.0

4.5

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

-2.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.757

6.238

6.238

4.82

90.0

90.0

90.0

DFT

18.96

6.863

6.863

4.025

90.0

90.0

90.0

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

1

2

3

4

5

6

89.9

49.7

65.6

0.0

0.0

-12.6

49.7

89.9

65.6

0.0

0.0

12.6

65.6

65.6

100.5

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

-1.1

0.0

-12.6

12.6

0.0

0.0

0.0

26.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.024

5.143

5.143

8.919

90.0

90.0

120.0

DFT

17.233

5.139

5.139

9.042

90.0

90.0

120.0

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

1

2

3

4

5

6

96.6

83.5

70.2

0.0

0.0

0.0

83.5

96.6

70.2

0.0

0.0

0.0

70.2

70.2

138.8

0.0

0.0

0.0

0.0

0.0

0.0

6.2

0.0

0.0

0.0

0.0

0.0

0.0

6.2

0.0

0.0

0.0

0.0

0.0

0.0

6.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.857

5.208

5.208

7.225

90.0

90.0

120.0

DFT

18.523

5.076

5.076

7.47

90.0

90.0

120.0

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

1

2

3

4

5

6

58.2

50.3

60.8

0.0

0.0

0.0

50.3

58.2

60.8

0.0

0.0

0.0

60.8

60.8

108.5

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

5.6

0.0

0.0

0.0

0.0

0.0

0.0

4.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.244

6.634

6.634

6.634

90.0

90.0

90.0

DFT

18.776

6.697

6.697

6.697

90.0

90.0

90.0

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

1

2

3

4

5

6

44.2

66.4

66.4

0.0

0.0

0.0

66.4

44.2

66.4

0.0

0.0

0.0

66.4

66.4

44.2

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

-1.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.421

4.519

4.519

6.248

90.0

90.0

120.0

DFT

18.543

4.719

4.719

5.769

90.0

90.0

120.0

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

1

2

3

4

5

6

117.2

99.4

78.7

0.0

0.0

0.0

99.4

117.2

78.7

0.0

0.0

0.0

78.7

78.7

93.8

0.0

0.0

0.0

0.0

0.0

0.0

10.9

0.0

0.0

0.0

0.0

0.0

0.0

10.9

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.673

4.211

4.211

4.211

90.0

90.0

90.0

DFT

18.77

4.219

4.219

4.219

90.0

90.0

90.0

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

1

2

3

4

5

6

75.5

67.2

67.2

0.0

0.0

0.0

67.2

75.5

67.2

0.0

0.0

0.0

67.2

67.2

75.5

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 (NiAs(B81)(x=0.50))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.823

3.009

3.009

8.174

90.0

90.0

105.61

DFT

17.752

2.943

2.943

9.464

90.0

90.0

120.0

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

1

2

3

4

5

6

75.9

49.2

51.7

0.0

0.0

4.7

49.2

79.7

51.3

0.0

0.0

2.1

51.7

51.3

90.1

0.0

0.0

-0.7

0.0

0.0

0.0

12.7

-2.2

0.0

0.0

0.0

0.0

-2.2

13.9

0.0

4.7

2.1

-0.7

0.0

0.0

10.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.546

4.05

4.05

8.072

90.0

90.0

90.0

DFT

16.403

4.035

4.035

8.06

90.0

90.0

90.0

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

1

2

3

4

5

6

116.1

67.2

60.7

0.0

0.0

0.0

67.2

116.1

60.7

0.0

0.0

0.0

60.7

60.7

104.8

0.0

0.0

0.0

0.0

0.0

0.0

-5.2

0.0

0.0

0.0

0.0

0.0

0.0

-5.2

0.0

0.0

0.0

0.0

0.0

0.0

-5.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

18.451

6.953

6.953

3.817

90.0

90.0

90.0

DFT

18.584

6.939

6.939

3.859

90.0

90.0

90.0

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

1

2

3

4

5

6

106080.0

165033.0

122720.4

-103893.6

0.0

0.0

165033.0

-43844.0

62.9

-80789.1

0.0

0.0

122720.4

62.9

83.0

-59742.7

0.0

0.0

-103893.6

-80789.1

-59742.7

7.5

14174.4

-0.1

0.0

0.0

0.0

14174.4

9.2

0.0

0.0

0.0

0.0

-0.1

0.0

4.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.349

6.22

6.22

6.93

90.0

90.0

120.0

DFT

19.929

6.086

6.086

7.457

90.0

90.0

120.0

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

1

2

3

4

5

6

72.2

54.4

56.1

0.0

0.0

0.0

54.4

72.2

56.1

0.0

0.0

0.0

56.1

56.1

76.2

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

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.948

4.733

4.733

7.862

90.0

90.0

120.0

DFT

17.004

4.935

4.935

7.255

90.0

90.0

120.0

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

1

2

3

4

5

6

97.1

71.8

72.4

0.0

0.0

0.0

71.8

97.1

72.4

0.0

0.0

0.0

72.4

72.4

90.8

0.0

0.0

0.0

0.0

0.0

0.0

1.6

0.0

0.0

0.0

0.0

0.0

0.0

1.6

0.0

0.0

0.0

0.0

0.0

0.0

12.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.943

6.597

6.597

6.597

90.0

90.0

90.0

DFT

18.153

6.623

6.623

6.623

90.0

90.0

90.0

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

1

2

3

4

5

6

39.4

55.8

55.8

0.0

0.0

0.0

55.8

39.4

55.8

0.0

0.0

0.0

55.8

55.8

39.4

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

-1.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.219

5.217

5.534

11.257

90.0

90.0

122.04

DFT

16.542

5.642

5.642

9.601

90.0

90.0

120.0

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

1

2

3

4

5

6

95.3

63.1

46.9

0.0

0.0

5.6

63.1

89.0

43.8

0.0

0.0

0.9

46.9

43.8

46.3

0.0

0.0

3.3

0.0

0.0

0.0

13.3

-1.7

0.0

0.0

0.0

0.0

-1.7

11.6

0.0

5.6

0.9

3.3

0.0

0.0

18.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

16.561

4.042

4.042

16.216

90.0

90.0

90.0

DFT

16.426

4.014

4.014

16.315

90.0

90.0

90.0

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

1

2

3

4

5

6

122.4

64.2

57.6

0.0

0.0

0.0

64.2

121.0

57.3

0.0

0.0

0.0

57.6

57.3

108.1

0.0

0.0

0.0

0.0

0.0

0.0

-5.7

0.0

0.0

0.0

0.0

0.0

0.0

-5.7

0.0

0.0

0.0

0.0

0.0

0.0

-2.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.754

2.942

2.942

4.103

90.0

90.0

90.0

DFT

17.71

2.966

2.966

4.025

90.0

90.0

90.0

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

1

2

3

4

5

6

84.5

60.5

70.8

0.0

0.0

0.0

60.5

84.5

70.8

0.0

0.0

0.0

70.8

70.8

107.7

0.0

0.0

0.0

0.0

0.0

0.0

0.8

0.0

0.0

0.0

0.0

0.0

0.0

0.8

0.0

0.0

0.0

0.0

0.0

0.0

10.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

17.087

6.49

6.49

6.49

90.0

90.0

90.0

DFT

16.938

6.471

6.471

6.471

90.0

90.0

90.0

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

1

2

3

4

5

6

32.7

60.5

60.5

0.0

0.0

0.0

60.5

32.7

60.5

0.0

0.0

0.0

60.5

60.5

32.7

0.0

0.0

0.0

0.0

0.0

0.0

-1.2

0.0

0.0

0.0

0.0

0.0

0.0

-1.2

0.0

0.0

0.0

0.0

0.0

0.0

-1.2