gtinv-269 (Mg-K-2022-06-12)

Energy distribution

../../../../_images/distribution765.png

Convex hull (formation energy)

../../../../_images/convex765.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Mg

1.0

0.0

K

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-sep765.png

Prototype structure energy

../../../../_images/icsd-pred765.png

Phonon density of states

../../../../_images/dos765.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-58745-10-[Fe6Ge6Mg]

-1.3717

-1.37171

icsd-97006-01-[InMg2]

-1.27903

-1.27895

icsd-167735-01-[Ru2B3]

-1.20037

-1.20027

icsd-150584-01-[Fe13Ge3]

-1.19339

-1.19366

icsd-105521-01-[Al5W]

-1.18882

-1.18882

icsd-107998-01-[MoNi4]

-1.18324

-1.18316

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

-1.16605

-1.16605

icsd-246555-01-[Co2Nd]

-1.15989

-1.15969

icsd-42773-01-[IrGe4]

-1.1457

-1.14625

icsd-260285-10-[UCl3]

-1.12901

-1.12881

icsd-104506-10-[Ni3Sn]

-1.12899

-1.12882

icsd-659829-10-[Al2Li3]

-1.11558

-1.11614

icsd-409859-01-[La2Sb]

-1.11496

-1.11491

icsd-610464-01-[PbClF/Cu2Sb]

-1.11405

-1.11403

icsd-105191-10-[Al3Ti]

-1.11146

-1.11144

icsd-188260-01-[Heusler-AlCu2Mn]

-1.11146

-1.11157

icsd-189695-10-[CuHg2Ti]

-1.11146

-1.11157

icsd-420250-10-[LiPd2Tl]

-1.11142

-1.1114

icsd-652553-01-[AlCr2-MoSi2]

-1.1001

-1.10011

icsd-58607-01-[Au2Ti]

-1.10009

-1.10011

icsd-58471-10-[CuZr2]

-1.10007

-1.1001

icsd-649037-10-[Ni3Ti]

-1.09097

-1.09093

icsd-416747-10-[Al3Zr]

-1.08038

-1.08045

icsd-643301-10-[Au3Cd]

-1.08037

-1.08045

icsd-640726-01-[CuSmP2]

-1.08032

-1.0804

icsd-609153-10-[AlPt3]

-1.06966

-1.0697

icsd-181127-01-[Auricupride-AuCu3]

-1.06966

-1.06969

icsd-648572-10-[CuInPt2]

-1.06966

-1.06969

icsd-99787-01-[Fe3Pt]

-1.06965

-1.06968

icsd-69199-10-[U3Si]

-1.06963

-1.06967

icsd-639879-01-[In5In4]

-1.06048

-1.06048

icsd-629406-01-[Cu4Ti3]

-1.05977

-1.06014

icsd-105726-10-[Pd5Ti3]

-1.05788

-1.05788

icsd-155842-01-[Co5Fe11]

-1.0447

-1.04458

icsd-59586-10-[Pd5Th3]

-1.04345

-1.04338

icsd-103995-10-[Ga3Ti2]

-1.04094

-1.04101

icsd-629380-01-[Al3Os2]

-1.03218

-1.0324

icsd-106786-01-[Hg2Pt]

-1.03009

-1.03117

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

-1.02969

-1.0303

icsd-648748-01-[Pd4Se]

-1.0272

-1.02695

icsd-611176-10-[Fe2P]

-1.0256

-1.02576

icsd-16606-10-[Nb3Te4]

-1.02155

-1.02197

icsd-239-01-[Cu3Se2]

-1.00499

-1.00495

icsd-239-10-[Cu3Se2]

-0.99058

-0.99066

icsd-16504-10-[CrSi2]

-0.98499

-0.98485

icsd-629406-10-[Cu4Ti3]

-0.97643

-0.97573

icsd-105948-10-[InNi2]

-0.97009

-0.96998

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

-0.97008

-0.96998

icsd-659829-01-[Al2Li3]

-0.96209

-0.96211

icsd-611457-01-[NbAs]

-0.96012

-0.96012

icsd-105636-01-[PbU]

-0.96012

-0.96012

icsd-240119-01-[AlLi]

-0.96007

-0.96004

icsd-103775-01-[NaTl]

-0.96007

-0.96003

icsd-618295-01-[MoC1-x]

-0.95399

-0.95429

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

-0.95091

-0.95079

icsd-102712-01-[CoU]

-0.94584

-0.94535

icsd-30446-01-[Fe2B]

-0.94279

-0.94302

icsd-161109-01-[CoSn]

-0.93698

-0.9369

icsd-635642-10-[Hg5Mn2]

-0.93519

-0.93602

icsd-5258-10-[FeSi2]

-0.93354

-0.93412

icsd-16606-01-[Nb3Te4]

-0.93133

-0.93057

icsd-106325-01-[BiIn]

-0.93028

-0.93023

icsd-42428-01-[Fe3Pt]

-0.93026

-0.93024

icsd-108707-01-[HgMn]

-0.93019

-0.93018

icsd-59508-01-[AuCu]

-0.93019

-0.93018

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

-0.93019

-0.93018

icsd-639227-10-[Si2U3]

-0.92755

-0.92764

icsd-611176-01-[Fe2P]

-0.91883

-0.91961

icsd-639879-10-[In5In4]

-0.91444

-0.91438

icsd-650527-01-[CsCl]

-0.91434

-0.91367

icsd-103995-01-[Ga3Ti2]

-0.91365

-0.91348

icsd-629380-10-[Al3Os2]

-0.9107

-0.91047

icsd-105726-01-[Pd5Ti3]

-0.90789

-0.90779

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

-0.90537

-0.90546

icsd-59586-01-[Pd5Th3]

-0.90416

-0.90411

icsd-58471-01-[CuZr2]

-0.90405

-0.90406

icsd-652553-10-[AlCr2-MoSi2]

-0.90397

-0.90395

icsd-58607-10-[Au2Ti]

-0.90394

-0.90392

icsd-185626-10-[Al3Ni2]

-0.90024

-0.89987

icsd-635208-10-[CoGa3]

-0.89951

-0.90039

icsd-100654-01-[BiSe]

-0.89549

-0.89548

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

-0.89158

-0.89162

icsd-105948-01-[InNi2]

-0.89158

-0.89162

icsd-104506-01-[Ni3Sn]

-0.88584

-0.88582

icsd-260285-01-[UCl3]

-0.88584

-0.88583

icsd-155842-10-[Co5Fe11]

-0.88487

-0.88303

icsd-635642-01-[Hg5Mn2]

-0.88303

-0.88225

icsd-626692-01-[Nickeline-NiAs]

-0.88265

-0.88284

icsd-168897-01-[LaI]

-0.88265

-0.88284

icsd-644708-01-[WC]

-0.88263

-0.8826

icsd-659856-01-[LiPt]

-0.88263

-0.8826

icsd-611618-01-[TiAs]

-0.88227

-0.88242

icsd-618702-01-[ScTe]

-0.88227

-0.88242

icsd-73839-01-[Ni3S2]

-0.88226

-0.88224

icsd-55492-01-[BaPt]

-0.88186

-0.8818

icsd-639037-01-[HgIn]

-0.88184

-0.88206

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

-0.88184

-0.88206

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

-0.88184

-0.88206

icsd-5258-01-[FeSi2]

-0.88172

-0.88108

icsd-189695-01-[CuHg2Ti]

-0.88164

-0.88229

icsd-188260-10-[Heusler-AlCu2Mn]

-0.88164

-0.88229

icsd-649037-01-[Ni3Ti]

-0.88092

-0.88328

icsd-420250-01-[LiPd2Tl]

-0.87967

-0.87989

icsd-105191-01-[Al3Ti]

-0.87967

-0.87989

icsd-635060-01-[Fersilicite-FeSi]

-0.87898

-0.87887

icsd-648748-10-[Pd4Se]

-0.87861

-0.87857

icsd-416747-01-[Al3Zr]

-0.87803

-0.87854

icsd-643301-01-[Au3Cd]

-0.87803

-0.87854

icsd-640726-10-[CuSmP2]

-0.87803

-0.87854

icsd-181127-10-[Auricupride-AuCu3]

-0.87679

-0.87673

icsd-99787-10-[Fe3Pt]

-0.87678

-0.87672

icsd-648572-01-[CuInPt2]

-0.87678

-0.87672

icsd-609153-01-[AlPt3]

-0.87678

-0.87672

icsd-69199-01-[U3Si]

-0.87677

-0.87672

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

-0.87565

-0.87545

icsd-16504-01-[CrSi2]

-0.87506

-0.87498

icsd-107998-10-[MoNi4]

-0.87077

-0.87075

icsd-97006-10-[InMg2]

-0.86953

-0.86988

icsd-150584-10-[Fe13Ge3]

-0.86865

-0.86888

icsd-42773-10-[IrGe4]

-0.86753

-0.86942

icsd-610464-10-[PbClF/Cu2Sb]

-0.86675

-0.86711

icsd-639227-01-[Si2U3]

-0.8639

-0.86358

icsd-106786-10-[Hg2Pt]

-0.86345

-0.86309

icsd-409859-10-[La2Sb]

-0.86036

-0.86042

icsd-105521-10-[Al5W]

-0.85693

-0.85729

icsd-635208-01-[CoGa3]

-0.85091

-0.85108

icsd-167735-10-[Ru2B3]

-0.85013

-0.85035

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

-0.84672

-0.84693

icsd-638227-10-[Fluorite-CaF2]

-0.83113

-0.83118

icsd-248490-10-[Pt2Si]

-0.83112

-0.8312

icsd-169457-10-[ZrH2]

-0.83107

-0.83113

icsd-424636-10-[MnGa4]

-0.82023

-0.82022

icsd-639148-10-[NiHg4]

-0.82023

-0.82022

icsd-108762-10-[Hg4Pt]

-0.82023

-0.82022

icsd-30446-10-[Fe2B]

-0.80908

-0.80923

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

-0.79984

-0.79977

icsd-185626-01-[Al3Ni2]

-0.78173

-0.78191

icsd-58745-01-[Fe6Ge6Mg]

-0.7799

-0.78486

icsd-73839-10-[Ni3S2]

-0.75978

-0.7603

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

-0.75381

-0.7538

icsd-181788-01-[NaCl]

-0.7493

-0.74931

icsd-42472-01-[CoO]

-0.74919

-0.7493

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

-0.73121

-0.7313

icsd-246555-10-[Co2Nd]

-0.71174

-0.71169

icsd-169457-01-[ZrH2]

-0.71027

-0.71017

icsd-248490-01-[Pt2Si]

-0.71022

-0.71012

icsd-638227-01-[Fluorite-CaF2]

-0.71022

-0.71013

icsd-424636-01-[MnGa4]

-0.60629

-0.60588

icsd-108762-01-[Hg4Pt]

-0.60629

-0.60588

icsd-639148-01-[NiHg4]

-0.60629

-0.60588

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.449

8.79

8.79

8.79

90.0

90.0

90.0

DFT

42.114

8.767

8.767

8.767

90.0

90.0

90.0

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

1

2

3

4

5

6

6.5

9.6

9.6

0.0

0.0

0.0

9.6

6.5

9.6

0.0

0.0

0.0

9.6

9.6

6.5

0.0

0.0

0.0

0.0

0.0

0.0

4.2

0.0

0.0

0.0

0.0

0.0

0.0

4.2

0.0

0.0

0.0

0.0

0.0

0.0

4.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

34.625

8.807

8.801

7.012

90.0

90.0

157.53

DFT

35.062

5.9

5.9

6.978

90.0

90.0

120.0

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

1

2

3

4

5

6

25.1

14.5

11.8

0.0

0.0

-1.8

14.5

26.5

6.4

0.0

0.0

1.9

11.8

6.4

24.5

0.0

0.0

-1.0

0.0

0.0

0.0

4.6

-1.0

0.0

0.0

0.0

0.0

-1.0

9.8

0.0

-1.8

1.9

-1.0

0.0

0.0

2.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.006

3.867

3.867

5.618

90.0

90.0

90.0

DFT

41.467

3.881

3.881

6.359

90.0

90.0

120.0

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

1

2

3

4

5

6

10.9

5.9

8.2

0.0

0.0

0.0

5.9

10.9

8.2

0.0

0.0

0.0

8.2

8.2

16.8

0.0

0.0

0.0

0.0

0.0

0.0

8.6

0.0

0.0

0.0

0.0

0.0

0.0

8.6

0.0

0.0

0.0

0.0

0.0

0.0

4.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.472

7.379

7.379

5.412

90.0

90.0

90.0

DFT

29.295

7.382

7.382

5.376

90.0

90.0

90.0

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

1

2

3

4

5

6

33.0

17.8

7.7

0.0

0.0

-7.6

17.8

33.0

7.7

0.0

0.0

7.6

7.7

7.7

26.3

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

-7.6

7.6

0.0

0.0

0.0

13.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

53.831

6.728

6.728

9.514

90.0

90.0

90.0

DFT

54.489

6.197

6.197

11.351

90.0

90.0

90.0

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

1

2

3

4

5

6

9.3

2.9

5.8

0.0

0.0

0.0

2.9

9.3

5.8

0.0

0.0

0.0

5.8

5.8

6.4

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

0.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

43.663

4.437

4.437

4.437

90.0

90.0

90.0

DFT

43.883

4.444

4.444

4.444

90.0

90.0

90.0

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

1

2

3

4

5

6

6.5

9.4

9.4

0.0

0.0

0.0

9.4

6.5

9.4

0.0

0.0

0.0

9.4

9.4

6.5

0.0

0.0

0.0

0.0

0.0

0.0

9.2

0.0

0.0

0.0

0.0

0.0

0.0

9.2

0.0

0.0

0.0

0.0

0.0

0.0

9.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.561

5.017

5.017

5.017

90.0

90.0

90.0

DFT

31.606

5.019

5.019

5.019

90.0

90.0

90.0

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

1

2

3

4

5

6

21.6

15.1

15.1

0.0

0.0

0.0

15.1

21.6

15.1

0.0

0.0

0.0

15.1

15.1

21.6

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 (Cu2Sb(C38)(x=0.33))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

38.098

5.055

5.055

8.944

90.0

90.0

90.0

DFT

38.04

5.026

5.026

9.036

90.0

90.0

90.0

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

1

2

3

4

5

6

15.4

7.9

10.1

0.0

0.0

0.0

7.9

15.4

10.1

0.0

0.0

0.0

10.1

10.1

18.0

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

6.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

55.371

6.108

6.108

23.75

90.0

90.0

90.0

DFT

55.027

6.128

6.128

23.444

90.0

90.0

90.0

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

1

2

3

4

5

6

6.9

5.7

5.6

0.0

0.0

0.0

5.7

6.9

5.6

0.0

0.0

0.0

5.6

5.6

6.8

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

0.0

0.0

0.0

0.0

0.0

3.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

44.216

7.072

7.072

7.072

90.0

90.0

90.0

DFT

44.78

7.102

7.102

7.102

90.0

90.0

90.0

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

1

2

3

4

5

6

11.0

11.0

9.8

-1.4

2.3

0.1

11.0

6.6

5.5

0.0

-1.5

2.1

9.8

5.5

4.2

2.7

-2.4

-0.7

-1.4

0.0

2.7

-42911.4

-5337.7

0.0

2.3

-1.5

-2.4

-5337.7

-42911.5

17354.0

0.1

2.1

-0.7

0.0

17354.0

-42911.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

41.254

10.806

10.806

3.533

90.0

90.0

90.0

DFT

40.988

10.772

10.772

3.532

90.0

90.0

90.0

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

1

2

3

4

5

6

-7.9

30.1

5.2

0.0

0.0

0.0

30.1

-7.9

5.2

0.0

0.0

0.0

5.2

5.2

13.5

0.0

0.0

0.0

0.0

0.0

0.0

0.9

0.0

0.0

0.0

0.0

0.0

0.0

0.9

0.0

0.0

0.0

0.0

0.0

0.0

8.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.073

8.585

5.658

5.283

90.0

90.0

90.0

DFT

33.334

7.639

7.639

5.277

90.0

90.0

120.0

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

1

2

3

4

5

6

21.3

13.2

12.6

0.0

0.0

0.0

13.2

30.0

13.7

0.0

0.0

0.0

12.6

13.7

41.1

0.0

0.0

0.0

0.0

0.0

0.0

9.9

0.0

0.0

0.0

0.0

0.0

0.0

9.0

0.0

0.0

0.0

0.0

0.0

0.0

2.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

56.999

5.397

13.928

13.648

90.0

90.0

90.0

DFT

58.346

5.212

14.617

13.786

90.0

90.0

90.0

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

1

2

3

4

5

6

21524.7

12804.2

-12055.0

1465.5

-10757.6

10757.5

12804.2

4089.1

-3337.9

1465.6

-2040.9

2040.9

-12055.0

-3337.9

2608.2

-1465.5

1301.1

-1301.1

1465.5

1465.6

-1465.5

-5860.8

-1465.5

1465.5

-10757.6

-2040.9

1301.1

-1465.5

0.2

0.2

10757.5

2040.9

-1301.1

1465.5

0.2

3.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

53.827

5.577

5.577

10.384

90.0

90.0

90.0

DFT

54.981

5.651

5.651

10.329

90.0

90.0

90.0

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

1

2

3

4

5

6

8.1

7.3

5.1

0.0

0.0

0.0

7.3

8.1

5.1

0.0

0.0

0.0

5.1

5.1

13.3

0.0

0.0

0.0

0.0

0.0

0.0

1.9

0.0

0.0

0.0

0.0

0.0

0.0

1.9

0.0

0.0

0.0

0.0

0.0

0.0

5.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

54.581

8.599

8.599

6.818

90.0

90.0

120.0

DFT

55.19

8.634

8.634

6.838

90.0

90.0

120.0

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

1

2

3

4

5

6

8.9

5.6

4.1

0.0

0.0

0.0

5.6

8.9

4.1

0.0

0.0

0.0

4.1

4.1

12.7

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

1.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

54.972

8.598

8.598

13.738

90.0

90.0

120.0

DFT

55.13

8.585

8.585

13.82

90.0

90.0

120.0

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

1

2

3

4

5

6

8.8

5.4

4.0

0.0

0.0

0.0

5.4

8.8

4.0

0.0

0.0

0.0

4.0

4.0

11.5

0.0

0.0

0.0

0.0

0.0

0.0

2.3

0.0

0.0

0.0

0.0

0.0

0.0

2.3

0.0

0.0

0.0

0.0

0.0

0.0

1.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.164

9.834

13.126

3.386

90.0

90.0

131.86

DFT

31.737

10.163

10.163

3.193

90.0

90.0

120.0

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

1

2

3

4

5

6

29.4

9.2

7.8

0.0

0.0

-0.8

9.2

29.7

6.8

0.0

0.0

-0.1

7.8

6.8

26.9

0.0

0.0

4.9

0.0

0.0

0.0

4.2

6.0

0.0

0.0

0.0

0.0

6.0

5.5

0.0

-0.8

-0.1

4.9

0.0

0.0

7.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

60.467

11.429

11.429

4.63

90.0

90.0

90.0

DFT

58.64

9.795

9.795

6.111

90.0

90.0

90.0

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

1

2

3

4

5

6

5.7

3.8

4.7

0.0

0.0

1.3

3.8

5.7

4.7

0.0

0.0

-1.3

4.7

4.7

7.4

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

1.3

-1.3

0.0

0.0

0.0

1.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.987

6.612

6.612

10.773

90.0

90.0

120.0

DFT

33.934

6.603

6.603

10.785

90.0

90.0

120.0

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

1

2

3

4

5

6

28.9

11.1

10.5

0.0

0.0

0.0

11.1

28.9

10.5

0.0

0.0

0.0

10.5

10.5

33.3

0.0

0.0

0.0

0.0

0.0

0.0

10.4

0.0

0.0

0.0

0.0

0.0

0.0

10.4

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

51.315

7.137

7.137

10.47

90.0

90.0

120.0

DFT

50.767

7.079

7.079

10.527

90.0

90.0

120.0

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

1

2

3

4

5

6

12.1

6.1

2.8

0.0

0.0

0.0

6.1

12.1

2.8

0.0

0.0

0.0

2.8

2.8

15.2

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

3.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

53.831

9.514

9.514

9.514

90.0

90.0

90.0

DFT

54.097

9.53

9.53

9.53

90.0

90.0

90.0

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

1

2

3

4

5

6

6.4

5.8

5.8

0.0

0.0

0.0

5.8

6.4

5.8

0.0

0.0

0.0

5.8

5.8

6.4

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

3.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

52.462

6.554

6.554

8.462

90.0

90.0

120.0

DFT

51.3

6.6

6.6

8.159

90.0

90.0

120.0

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

1

2

3

4

5

6

13.1

8.1

3.1

0.0

0.0

0.0

8.1

13.1

3.1

0.0

0.0

0.0

3.1

3.1

9.0

0.0

0.0

0.0

0.0

0.0

0.0

2.6

0.0

0.0

0.0

0.0

0.0

0.0

2.6

0.0

0.0

0.0

0.0

0.0

0.0

2.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

55.685

6.062

6.062

6.062

90.0

90.0

90.0

DFT

54.936

6.034

6.034

6.034

90.0

90.0

90.0

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

1

2

3

4

5

6

7.4

5.4

5.4

0.0

0.0

0.0

5.4

7.4

5.4

0.0

0.0

0.0

5.4

5.4

7.4

0.0

0.0

0.0

0.0

0.0

0.0

4.1

0.0

0.0

0.0

0.0

0.0

0.0

4.1

0.0

0.0

0.0

0.0

0.0

0.0

4.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.006

3.867

3.867

11.235

90.0

90.0

90.0

DFT

41.813

3.893

3.893

12.745

90.0

90.0

120.0

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

1

2

3

4

5

6

10.9

5.9

8.2

0.0

0.0

0.0

5.9

10.9

8.2

0.0

0.0

0.0

8.2

8.2

16.8

0.0

0.0

0.0

0.0

0.0

0.0

8.6

0.0

0.0

0.0

0.0

0.0

0.0

8.6

0.0

0.0

0.0

0.0

0.0

0.0

4.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.179

5.547

5.547

7.845

90.0

90.0

90.0

DFT

30.198

5.545

5.545

7.858

90.0

90.0

90.0

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

1

2

3

4

5

6

29.7

9.0

16.6

0.0

0.0

0.0

9.0

29.7

16.6

0.0

0.0

0.0

16.6

16.6

22.2

0.0

0.0

0.0

0.0

0.0

0.0

10.3

0.0

0.0

0.0

0.0

0.0

0.0

10.3

0.0

0.0

0.0

0.0

0.0

0.0

2.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

50.49

9.95

9.95

5.1

90.0

90.0

90.0

DFT

50.415

9.993

9.993

5.049

90.0

90.0

90.0

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

1

2

3

4

5

6

13.0

6.5

7.0

0.0

0.0

0.0

6.5

13.0

7.0

0.0

0.0

0.0

7.0

7.0

6.3

0.0

0.0

0.0

0.0

0.0

0.0

4.6

0.0

0.0

0.0

0.0

0.0

0.0

4.6

0.0

0.0

0.0

0.0

0.0

0.0

2.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

52.128

10.584

6.803

9.053

90.0

90.0

106.32

DFT

53.449

8.367

8.367

10.58

90.0

90.0

120.0

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

1

2

3

4

5

6

10.2

5.9

5.2

0.0

0.0

1.1

5.9

8.4

3.2

0.0

0.0

-1.8

5.2

3.2

10.3

0.0

0.0

1.2

0.0

0.0

0.0

1.2

0.3

0.0

0.0

0.0

0.0

0.3

2.1

0.0

1.1

-1.8

1.2

0.0

0.0

2.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.416

7.375

6.098

11.55

115.24

45.12

114.42

DFT

35.018

6.293

6.293

9.188

90.0

90.0

120.0

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

1

2

3

4

5

6

23.1

9.0

7.4

-0.5

-0.6

4.6

9.0

23.8

11.5

-0.7

1.2

-5.0

7.4

11.5

38.5

0.3

-0.1

-2.3

-0.5

-0.7

0.3

11.5

-3.5

0.4

-0.6

1.2

-0.1

-3.5

5.3

1.0

4.6

-5.0

-2.3

0.4

1.0

8.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

39.455

8.578

8.578

8.578

90.0

90.0

90.0

DFT

39.126

8.555

8.555

8.555

90.0

90.0

90.0

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

1

2

3

4

5

6

12.5

9.3

9.3

0.0

0.0

0.0

9.3

12.5

9.3

0.0

0.0

0.0

9.3

9.3

12.5

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

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.977

7.268

7.268

11.184

90.0

90.0

120.0

DFT

31.879

7.259

7.259

11.178

90.0

90.0

120.0

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

1

2

3

4

5

6

18.8

10.7

12.6

0.0

0.0

0.0

10.7

18.8

12.6

0.0

0.0

0.0

12.6

12.6

31.9

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

4.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.332

5.16

5.16

18.828

90.0

90.0

90.0

DFT

31.021

5.203

5.203

18.336

90.0

90.0

90.0

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

1

2

3

4

5

6

24.1

14.9

14.9

0.0

0.0

0.0

14.9

24.1

14.9

0.0

0.0

0.0

14.9

14.9

15.7

0.0

0.0

0.0

0.0

0.0

0.0

9.0

0.0

0.0

0.0

0.0

0.0

0.0

9.0

0.0

0.0

0.0

0.0

0.0

0.0

8.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.006

3.867

3.867

5.618

90.0

90.0

90.0

DFT

41.426

3.825

3.825

5.663

90.0

90.0

90.0

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

1

2

3

4

5

6

10.9

5.9

8.2

0.0

0.0

0.0

5.9

10.9

8.2

0.0

0.0

0.0

8.2

8.2

16.8

0.0

0.0

0.0

0.0

0.0

0.0

8.6

0.0

0.0

0.0

0.0

0.0

0.0

8.6

0.0

0.0

0.0

0.0

0.0

0.0

4.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.179

7.845

7.845

7.845

90.0

90.0

90.0

DFT

30.221

7.849

7.849

7.849

90.0

90.0

90.0

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

1

2

3

4

5

6

22.2

16.6

16.6

0.0

0.0

0.0

16.6

22.2

16.6

0.0

0.0

0.0

16.6

16.6

22.2

0.0

0.0

0.0

0.0

0.0

0.0

10.3

0.0

0.0

0.0

0.0

0.0

0.0

10.3

0.0

0.0

0.0

0.0

0.0

0.0

10.3