gtinv-257 (Mg-Ge-2022-06-12)

Energy distribution

../../../../_images/distribution746.png

Convex hull (formation energy)

../../../../_images/convex746.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Mg

0.3333

-0.2763

icsd-638227-01-[Fluorite-CaF2]

0.3333

-0.2763

icsd-248490-01-[Pt2Si]

0.3333

-0.2763

icsd-169457-01-[ZrH2]

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-sep746.png

Prototype structure energy

../../../../_images/icsd-pred746.png

Phonon density of states

../../../../_images/dos746.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-97006-10-[InMg2]

-3.22913

-3.22879

icsd-58745-01-[Fe6Ge6Mg]

-3.22822

-3.22861

icsd-105521-10-[Al5W]

-3.18021

-3.18016

icsd-167735-10-[Ru2B3]

-3.17049

-3.17058

icsd-107998-10-[MoNi4]

-3.14411

-3.14489

icsd-648748-10-[Pd4Se]

-3.14168

-3.14057

icsd-42773-10-[IrGe4]

-3.13349

-3.1396

icsd-150584-10-[Fe13Ge3]

-3.11375

-3.11303

icsd-609153-01-[AlPt3]

-3.08746

-3.08763

icsd-69199-01-[U3Si]

-3.08746

-3.08765

icsd-648572-01-[CuInPt2]

-3.08745

-3.08833

icsd-99787-10-[Fe3Pt]

-3.08745

-3.08833

icsd-181127-10-[Auricupride-AuCu3]

-3.08745

-3.08833

icsd-640726-10-[CuSmP2]

-3.07942

-3.07733

icsd-416747-01-[Al3Zr]

-3.07942

-3.07733

icsd-643301-01-[Au3Cd]

-3.07942

-3.07733

icsd-649037-01-[Ni3Ti]

-3.07757

-3.07625

icsd-420250-01-[LiPd2Tl]

-3.07465

-3.07405

icsd-105191-01-[Al3Ti]

-3.07465

-3.07405

icsd-260285-01-[UCl3]

-3.07251

-3.07197

icsd-104506-01-[Ni3Sn]

-3.07241

-3.0722

icsd-635642-01-[Hg5Mn2]

-3.02699

-3.03015

icsd-188260-10-[Heusler-AlCu2Mn]

-3.01136

-3.00639

icsd-189695-01-[CuHg2Ti]

-3.01136

-3.00639

icsd-155842-10-[Co5Fe11]

-2.98564

-2.98118

icsd-5258-01-[FeSi2]

-2.95383

-2.95337

icsd-16504-01-[CrSi2]

-2.9453

-2.94523

icsd-106786-10-[Hg2Pt]

-2.93373

-2.93429

icsd-424636-10-[MnGa4]

-2.93153

-2.93158

icsd-639148-10-[NiHg4]

-2.93153

-2.93158

icsd-108762-10-[Hg4Pt]

-2.93152

-2.93156

icsd-611176-01-[Fe2P]

-2.91907

-2.92838

icsd-409859-10-[La2Sb]

-2.91508

-2.91547

icsd-58471-01-[CuZr2]

-2.9094

-2.90939

icsd-652553-10-[AlCr2-MoSi2]

-2.90939

-2.9092

icsd-58607-10-[Au2Ti]

-2.90934

-2.90925

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

-2.89892

-2.89889

icsd-59586-01-[Pd5Th3]

-2.89453

-2.89621

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

-2.89414

-2.89402

icsd-105948-01-[InNi2]

-2.88905

-2.88865

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

-2.88905

-2.88865

icsd-610464-10-[PbClF/Cu2Sb]

-2.88297

-2.88371

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

-2.88209

-2.88259

icsd-246555-10-[Co2Nd]

-2.8705

-2.87053

icsd-105726-01-[Pd5Ti3]

-2.857

-2.85707

icsd-239-10-[Cu3Se2]

-2.85362

-2.85339

icsd-635208-10-[CoGa3]

-2.85043

-2.84882

icsd-103995-01-[Ga3Ti2]

-2.85026

-2.85038

icsd-185626-10-[Al3Ni2]

-2.84077

-2.84104

icsd-30446-01-[Fe2B]

-2.83698

-2.83729

icsd-248490-10-[Pt2Si]

-2.83052

-2.83026

icsd-638227-10-[Fluorite-CaF2]

-2.83052

-2.83024

icsd-169457-10-[ZrH2]

-2.83048

-2.83067

icsd-629380-10-[Al3Os2]

-2.82685

-2.82685

icsd-659829-01-[Al2Li3]

-2.77369

-2.77234

icsd-639879-10-[In5In4]

-2.75153

-2.75011

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

-2.74083

-2.74041

icsd-639227-10-[Si2U3]

-2.72091

-2.7207

icsd-106325-01-[BiIn]

-2.70738

-2.70738

icsd-42428-01-[Fe3Pt]

-2.70723

-2.70766

icsd-108707-01-[HgMn]

-2.70723

-2.70767

icsd-59508-01-[AuCu]

-2.70723

-2.70767

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

-2.70723

-2.70767

icsd-629406-10-[Cu4Ti3]

-2.70644

-2.70719

icsd-55492-01-[BaPt]

-2.70291

-2.70134

icsd-626692-01-[Nickeline-NiAs]

-2.70244

-2.7022

icsd-168897-01-[LaI]

-2.70243

-2.7022

icsd-618702-01-[ScTe]

-2.70071

-2.70055

icsd-611618-01-[TiAs]

-2.70071

-2.70055

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

-2.69759

-2.69742

icsd-639037-01-[HgIn]

-2.69759

-2.69742

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

-2.69759

-2.69742

icsd-73839-10-[Ni3S2]

-2.69332

-2.69529

icsd-611457-01-[NbAs]

-2.68387

-2.68366

icsd-105636-01-[PbU]

-2.68387

-2.68366

icsd-102712-01-[CoU]

-2.68369

-2.68389

icsd-650527-01-[CsCl]

-2.68367

-2.68327

icsd-618295-01-[MoC1-x]

-2.64824

-2.6486

icsd-635060-01-[Fersilicite-FeSi]

-2.64673

-2.64602

icsd-659856-01-[LiPt]

-2.63469

-2.63441

icsd-644708-01-[WC]

-2.63468

-2.63441

icsd-100654-01-[BiSe]

-2.6269

-2.62768

icsd-639879-01-[In5In4]

-2.55973

-2.55922

icsd-639227-01-[Si2U3]

-2.54436

-2.54456

icsd-240119-01-[AlLi]

-2.53994

-2.54014

icsd-103775-01-[NaTl]

-2.53993

-2.54085

icsd-239-01-[Cu3Se2]

-2.52351

-2.52283

icsd-638227-01-[Fluorite-CaF2]

-2.52033

-2.52019

icsd-248490-01-[Pt2Si]

-2.52033

-2.52018

icsd-169457-01-[ZrH2]

-2.52033

-2.52016

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

-2.5105

-2.51124

icsd-161109-01-[CoSn]

-2.49197

-2.49193

icsd-103995-10-[Ga3Ti2]

-2.48607

-2.48705

icsd-16606-10-[Nb3Te4]

-2.48319

-2.48201

icsd-185626-01-[Al3Ni2]

-2.4775

-2.47395

icsd-42472-01-[CoO]

-2.45952

-2.46006

icsd-181788-01-[NaCl]

-2.45952

-2.45988

icsd-629380-01-[Al3Os2]

-2.45745

-2.45797

icsd-611176-10-[Fe2P]

-2.45557

-2.46387

icsd-629406-01-[Cu4Ti3]

-2.44545

-2.44464

icsd-610464-01-[PbClF/Cu2Sb]

-2.43866

-2.43618

icsd-105726-10-[Pd5Ti3]

-2.39171

-2.39072

icsd-59586-10-[Pd5Th3]

-2.39073

-2.39052

icsd-409859-01-[La2Sb]

-2.38685

-2.38671

icsd-105948-10-[InNi2]

-2.37076

-2.37053

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

-2.37076

-2.37053

icsd-659829-10-[Al2Li3]

-2.35791

-2.3557

icsd-30446-10-[Fe2B]

-2.34536

-2.34494

icsd-16504-10-[CrSi2]

-2.31041

-2.31118

icsd-58607-01-[Au2Ti]

-2.3007

-2.30036

icsd-58471-10-[CuZr2]

-2.30068

-2.30034

icsd-652553-01-[AlCr2-MoSi2]

-2.30068

-2.30034

icsd-155842-01-[Co5Fe11]

-2.29701

-2.29336

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

-2.28254

-2.28158

icsd-73839-01-[Ni3S2]

-2.28121

-2.27861

icsd-106786-01-[Hg2Pt]

-2.26813

-2.26887

icsd-5258-10-[FeSi2]

-2.22028

-2.22062

icsd-181127-01-[Auricupride-AuCu3]

-2.16617

-2.16649

icsd-648572-10-[CuInPt2]

-2.16617

-2.16649

icsd-99787-01-[Fe3Pt]

-2.16617

-2.16648

icsd-609153-10-[AlPt3]

-2.16617

-2.16687

icsd-69199-10-[U3Si]

-2.16615

-2.16684

icsd-649037-10-[Ni3Ti]

-2.15598

-2.15551

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

-2.14646

-2.14681

icsd-643301-10-[Au3Cd]

-2.14499

-2.14367

icsd-416747-10-[Al3Zr]

-2.14498

-2.14366

icsd-640726-01-[CuSmP2]

-2.14497

-2.14366

icsd-104506-10-[Ni3Sn]

-2.14436

-2.14426

icsd-260285-10-[UCl3]

-2.14435

-2.14435

icsd-420250-10-[LiPd2Tl]

-2.13261

-2.13289

icsd-105191-10-[Al3Ti]

-2.13261

-2.13289

icsd-635642-10-[Hg5Mn2]

-2.11207

-2.10733

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

-2.11204

-2.11104

icsd-188260-01-[Heusler-AlCu2Mn]

-2.06875

-2.06756

icsd-189695-10-[CuHg2Ti]

-2.06875

-2.06756

icsd-246555-01-[Co2Nd]

-2.05996

-2.05977

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

-2.05979

-2.05985

icsd-635208-01-[CoGa3]

-2.03647

-2.0332

icsd-107998-01-[MoNi4]

-1.9943

-1.99465

icsd-42773-01-[IrGe4]

-1.98711

-1.9881

icsd-648748-01-[Pd4Se]

-1.96259

-1.96211

icsd-167735-01-[Ru2B3]

-1.95336

-1.95259

icsd-150584-01-[Fe13Ge3]

-1.92644

-1.92803

icsd-105521-01-[Al5W]

-1.90065

-1.90004

icsd-97006-01-[InMg2]

-1.77892

-1.77879

icsd-639148-01-[NiHg4]

-1.77059

-1.77096

icsd-108762-01-[Hg4Pt]

-1.77059

-1.77096

icsd-424636-01-[MnGa4]

-1.77059

-1.77096

icsd-58745-10-[Fe6Ge6Mg]

-1.52819

-1.52804

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.631

6.319

7.837

6.342

90.0

90.0

90.0

DFT

19.68

6.803

6.803

6.803

90.0

90.0

90.0

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

1

2

3

4

5

6

82.2

50.1

39.7

0.0

0.0

0.0

50.1

78.9

48.4

0.0

0.0

0.0

39.7

48.4

90.7

0.0

0.0

0.0

0.0

0.0

0.0

8.3

0.0

0.0

0.0

0.0

0.0

0.0

10.2

0.0

0.0

0.0

0.0

0.0

0.0

7.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.795

4.742

4.742

6.1

90.0

90.0

120.0

DFT

19.831

4.747

4.747

6.098

90.0

90.0

120.0

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

1

2

3

4

5

6

62.0

55.0

34.8

0.0

0.0

0.0

55.0

62.0

34.8

0.0

0.0

0.0

34.8

34.8

65.1

0.0

0.0

0.0

0.0

0.0

0.0

9.8

0.0

0.0

0.0

0.0

0.0

0.0

9.8

0.0

0.0

0.0

0.0

0.0

0.0

3.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.042

3.243

3.243

4.402

90.0

90.0

120.0

DFT

20.108

3.241

3.241

4.421

90.0

90.0

120.0

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

1

2

3

4

5

6

72.0

55.0

47.7

0.0

0.0

0.0

55.0

72.0

47.7

0.0

0.0

0.0

47.7

47.7

80.9

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

8.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.172

7.038

7.038

4.274

90.0

90.0

90.0

DFT

21.136

7.012

7.012

4.299

90.0

90.0

90.0

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

1

2

3

4

5

6

66.2

30.4

40.9

0.0

0.0

-0.8

30.4

66.2

40.9

0.0

0.0

0.8

40.9

40.9

59.8

0.0

0.0

0.0

0.0

0.0

0.0

24.6

0.0

0.0

0.0

0.0

0.0

0.0

24.6

0.0

-0.8

0.8

0.0

0.0

0.0

14.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.505

4.176

4.176

8.949

90.0

90.0

90.0

DFT

19.433

4.179

4.179

8.904

90.0

90.0

90.0

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

1

2

3

4

5

6

61.0

61.3

53.7

0.0

0.0

0.0

61.3

61.0

53.7

0.0

0.0

0.0

53.7

53.7

70.8

0.0

0.0

0.0

0.0

0.0

0.0

12.6

0.0

0.0

0.0

0.0

0.0

0.0

12.6

0.0

0.0

0.0

0.0

0.0

0.0

29.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.717

3.404

3.404

3.404

90.0

90.0

90.0

DFT

19.656

3.4

3.4

3.4

90.0

90.0

90.0

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

1

2

3

4

5

6

35.3

63.0

63.0

0.0

0.0

0.0

63.0

35.3

63.0

0.0

0.0

0.0

63.0

63.0

35.3

0.0

0.0

0.0

0.0

0.0

0.0

9.6

0.0

0.0

0.0

0.0

0.0

0.0

9.6

0.0

0.0

0.0

0.0

0.0

0.0

9.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.09

4.315

4.315

4.315

90.0

90.0

90.0

DFT

20.155

4.32

4.32

4.32

90.0

90.0

90.0

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

1

2

3

4

5

6

75.1

34.1

34.1

0.0

0.0

0.0

34.1

75.1

34.1

0.0

0.0

0.0

34.1

34.1

75.1

0.0

0.0

0.0

0.0

0.0

0.0

26.7

0.0

0.0

0.0

0.0

0.0

0.0

26.7

0.0

0.0

0.0

0.0

0.0

0.0

26.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.274

4.174

4.174

6.981

90.0

90.0

90.0

DFT

20.864

4.224

4.224

7.016

90.0

90.0

90.0

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

1

2

3

4

5

6

83.1

28.9

39.5

0.0

0.0

0.0

28.9

83.1

39.5

0.0

0.0

0.0

39.5

39.5

126.8

0.0

0.0

0.0

0.0

0.0

0.0

31.2

0.0

0.0

0.0

0.0

0.0

0.0

31.2

0.0

0.0

0.0

0.0

0.0

0.0

32.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.405

4.228

4.228

17.368

90.0

90.0

90.0

DFT

19.421

4.245

4.245

17.242

90.0

90.0

90.0

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

1

2

3

4

5

6

71.2

62.1

58.9

0.0

0.0

0.0

62.1

71.2

58.9

0.0

0.0

0.0

58.9

58.9

79.8

0.0

0.0

0.0

0.0

0.0

0.0

14.8

0.0

0.0

0.0

0.0

0.0

0.0

14.8

0.0

0.0

0.0

0.0

0.0

0.0

23.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.002

5.429

5.429

5.429

90.0

90.0

90.0

DFT

20.047

5.433

5.433

5.433

90.0

90.0

90.0

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

1

2

3

4

5

6

64.2

45.1

45.1

1926.8

0.0

0.0

45.1

64.2

45.1

940.1

0.0

0.0

45.1

45.1

64.2

296.1

0.0

0.0

1926.8

940.1

296.1

-20107.5

4037.9

-4037.9

0.0

0.0

0.0

4037.9

-24012.7

0.0

0.0

0.0

0.0

-4037.9

0.0

-24012.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.433

7.055

7.055

4.106

90.0

90.0

90.0

DFT

20.474

7.072

7.072

4.093

90.0

90.0

90.0

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

1

2

3

4

5

6

102.1

56.1

40.0

0.0

0.0

0.0

56.1

102.1

40.0

0.0

0.0

0.0

40.0

40.0

66.9

0.0

0.0

0.0

0.0

0.0

0.0

17.3

0.0

0.0

0.0

0.0

0.0

0.0

17.3

0.0

0.0

0.0

0.0

0.0

0.0

29.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.464

6.177

6.177

4.955

90.0

90.0

120.0

DFT

20.348

6.129

6.129

5.004

90.0

90.0

120.0

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

1

2

3

4

5

6

62.9

28.2

30.8

0.0

0.0

0.0

28.2

62.9

30.8

0.0

0.0

0.0

30.8

30.8

68.4

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

0.0

17.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.846

3.616

15.732

6.596

90.0

90.0

90.0

DFT

20.488

3.871

14.194

6.713

90.0

90.0

90.0

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

1

2

3

4

5

6

53.9

37.8

59.1

0.0

0.0

0.0

37.8

50.2

43.1

3.2

0.0

0.0

59.1

43.1

83.1

0.0

0.0

0.0

0.0

3.2

0.0

-22466.3

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

15.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.816

4.107

4.107

7.406

90.0

90.0

90.0

DFT

20.932

4.148

4.148

7.298

90.0

90.0

90.0

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

1

2

3

4

5

6

48.9

50.2

43.1

0.0

0.0

0.0

50.2

48.9

43.1

0.0

0.0

0.0

43.1

43.1

52.8

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

0.0

0.0

0.0

0.0

0.0

24.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.575

5.926

5.926

5.149

90.0

90.0

120.0

DFT

19.485

5.946

5.946

5.091

90.0

90.0

120.0

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

1

2

3

4

5

6

66.7

50.2

45.6

0.0

0.0

0.0

50.2

66.7

45.6

0.0

0.0

0.0

45.6

45.6

85.6

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

8.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.686

6.006

6.006

10.084

90.0

90.0

120.0

DFT

19.523

5.999

5.999

10.021

90.0

90.0

120.0

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

1

2

3

4

5

6

59.7

47.4

46.0

0.0

0.0

0.0

47.4

59.7

46.0

0.0

0.0

0.0

46.0

46.0

88.5

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

20.59

7.149

7.149

4.187

90.0

90.0

120.0

DFT

20.434

7.168

7.168

4.133

90.0

90.0

120.0

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

1

2

3

4

5

6

101.1

51.2

43.6

0.0

0.0

0.0

51.2

101.1

43.6

0.0

0.0

0.0

43.6

43.6

82.7

0.0

0.0

0.0

0.0

0.0

0.0

21.7

0.0

0.0

0.0

0.0

0.0

0.0

21.7

0.0

0.0

0.0

0.0

0.0

0.0

25.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.803

7.363

7.363

3.653

90.0

90.0

90.0

DFT

19.532

7.16

7.16

3.81

90.0

90.0

90.0

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

1

2

3

4

5

6

60.6

36.3

48.8

0.0

0.0

-3.5

36.3

60.6

48.8

0.0

0.0

3.5

48.8

48.8

60.9

0.0

0.0

0.0

0.0

0.0

0.0

25.4

0.0

0.0

0.0

0.0

0.0

0.0

25.4

0.0

-3.5

3.5

0.0

0.0

0.0

3.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.771

5.61

5.61

10.024

90.0

90.0

120.0

DFT

22.849

5.611

5.611

10.056

90.0

90.0

120.0

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

1

2

3

4

5

6

14878.2

-14807.9

-65336.5

0.0

11833.3

9381.3

-14807.9

14890.7

-78174.3

0.0

-11833.3

9380.5

-65336.5

-78174.3

-213345.9

0.0

0.0

2548.9

0.0

0.0

0.0

15.5

-1.0

0.0

11833.3

-11833.3

0.0

-1.0

10.5

-6832.0

9381.3

9380.5

2548.9

0.0

-6832.0

-17128.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.492

5.203

5.203

7.482

90.0

90.0

120.0

DFT

19.476

5.188

5.188

7.521

90.0

90.0

120.0

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

1

2

3

4

5

6

83.4

59.2

49.9

0.0

0.0

0.0

59.2

83.4

49.9

0.0

0.0

0.0

49.9

49.9

113.8

0.0

0.0

0.0

0.0

0.0

0.0

2.5

0.0

0.0

0.0

0.0

0.0

0.0

2.5

0.0

0.0

0.0

0.0

0.0

0.0

12.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.869

6.825

6.825

6.825

90.0

90.0

90.0

DFT

19.64

6.799

6.799

6.799

90.0

90.0

90.0

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

1

2

3

4

5

6

51.2

71.5

71.5

0.0

0.0

0.0

71.5

51.2

71.5

0.0

0.0

0.0

71.5

71.5

51.2

0.0

0.0

0.0

0.0

0.0

0.0

14.3

0.0

0.0

0.0

0.0

0.0

0.0

14.3

0.0

0.0

0.0

0.0

0.0

0.0

14.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.939

6.598

6.598

5.734

90.0

90.0

151.36

DFT

19.955

4.866

4.866

5.839

90.0

90.0

120.0

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

1

2

3

4

5

6

71.9

35.9

34.4

0.0

0.0

4.7

35.9

48.3

31.0

0.0

0.0

-11.1

34.4

31.0

82.0

0.0

0.0

-0.9

0.0

0.0

0.0

8.8

1.9

0.0

0.0

0.0

0.0

1.9

1.8

0.0

4.7

-11.1

-0.9

0.0

0.0

22.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.465

4.27

4.27

4.27

90.0

90.0

90.0

DFT

19.4

4.265

4.265

4.265

90.0

90.0

90.0

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

1

2

3

4

5

6

86.1

57.6

57.6

0.0

0.0

0.0

57.6

86.1

57.6

0.0

0.0

0.0

57.6

57.6

86.1

0.0

0.0

0.0

0.0

0.0

0.0

20.9

0.0

0.0

0.0

0.0

0.0

0.0

20.9

0.0

0.0

0.0

0.0

0.0

0.0

20.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.812

3.278

3.278

8.515

90.0

90.0

120.0

DFT

19.832

3.276

3.276

8.537

90.0

90.0

120.0

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

1

2

3

4

5

6

78.5

50.5

38.7

0.0

0.0

0.0

50.5

78.5

38.7

0.0

0.0

0.0

38.7

38.7

128.7

0.0

0.0

0.0

0.0

0.0

0.0

32.1

0.0

0.0

0.0

0.0

0.0

0.0

32.1

0.0

0.0

0.0

0.0

0.0

0.0

14.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.506

4.329

4.329

8.754

90.0

90.0

90.0

DFT

20.536

4.316

4.316

8.818

90.0

90.0

90.0

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

1

2

3

4

5

6

73.4

47.3

38.1

0.0

0.0

0.0

47.3

73.4

38.1

0.0

0.0

0.0

38.1

38.1

81.6

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

26.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.635

6.246

8.964

3.685

90.0

90.0

90.0

DFT

20.957

7.265

7.265

3.971

90.0

90.0

90.0

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

1

2

3

4

5

6

75.9

41.9

44.8

0.0

0.0

0.0

41.9

65.0

40.7

0.0

0.0

0.0

44.8

40.7

57.8

0.0

0.0

0.0

0.0

0.0

0.0

18.1

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

21.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.293

5.852

5.852

8.21

90.0

90.0

120.0

DFT

20.635

5.803

5.803

8.492

90.0

90.0

120.0

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

1

2

3

4

5

6

63.2

45.9

50.1

0.0

0.0

0.0

45.9

63.2

50.1

0.0

0.0

0.0

50.1

50.1

88.3

0.0

0.0

0.0

0.0

0.0

0.0

21.7

0.0

0.0

0.0

0.0

0.0

0.0

21.7

0.0

0.0

0.0

0.0

0.0

0.0

8.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.349

5.19

5.19

7.852

90.0

90.0

120.0

DFT

20.371

5.257

5.257

7.66

90.0

90.0

120.0

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

1

2

3

4

5

6

72.0

53.3

40.7

0.0

0.0

0.0

53.3

72.0

40.7

0.0

0.0

0.0

40.7

40.7

86.5

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

9.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.444

6.89

6.89

6.89

90.0

90.0

90.0

DFT

20.398

6.885

6.885

6.885

90.0

90.0

90.0

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

1

2

3

4

5

6

33.5

59.1

59.1

0.0

0.0

0.0

59.1

33.5

59.1

0.0

0.0

0.0

59.1

59.1

33.5

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 (Ni3Ti(D024)(x=0.25))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.342

6.14

6.14

9.968

90.0

90.0

120.0

DFT

20.201

6.102

6.102

10.023

90.0

90.0

120.0

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

1

2

3

4

5

6

73.7

25.1

26.1

0.0

0.0

0.0

25.1

73.7

26.1

0.0

0.0

0.0

26.1

26.1

74.7

0.0

0.0

0.0

0.0

0.0

0.0

17.7

0.0

0.0

0.0

0.0

0.0

0.0

17.7

0.0

0.0

0.0

0.0

0.0

0.0

24.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

20.368

4.333

4.333

17.358

90.0

90.0

90.0

DFT

20.506

4.35

4.35

17.339

90.0

90.0

90.0

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

1

2

3

4

5

6

70.8

35.7

35.1

0.0

0.0

0.0

35.7

70.8

35.1

0.0

0.0

0.0

35.1

35.1

75.5

0.0

0.0

0.0

0.0

0.0

0.0

22.3

0.0

0.0

0.0

0.0

0.0

0.0

22.3

0.0

0.0

0.0

0.0

0.0

0.0

24.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

19.635

3.14

3.14

3.983

90.0

90.0

90.0

DFT

19.422

3.14

3.14

3.94

90.0

90.0

90.0

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

1

2

3

4

5

6

87.6

37.1

50.7

0.0

0.0

0.0

37.1

87.6

50.7

0.0

0.0

0.0

50.7

50.7

91.1

0.0

0.0

0.0

0.0

0.0

0.0

8.4

0.0

0.0

0.0

0.0

0.0

0.0

8.4

0.0

0.0

0.0

0.0

0.0

0.0

12.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

21.097

6.963

6.963

6.963

90.0

90.0

90.0

DFT

21.221

6.976

6.976

6.976

90.0

90.0

90.0

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

1

2

3

4

5

6

28.4

51.8

51.8

0.0

0.0

0.0

51.8

28.4

51.8

0.0

0.0

0.0

51.8

51.8

28.4

0.0

0.0

0.0

0.0

0.0

0.0

17.8

0.0

0.0

0.0

0.0

0.0

0.0

17.8

0.0

0.0

0.0

0.0

0.0

0.0

17.8