pair-49 (Na-Mg-2022-06-12)

Energy distribution

../../../../_images/distribution898.png

Convex hull (formation energy)

../../../../_images/convex898.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Na

1.0

0.0

Mg

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-sep898.png

Prototype structure energy

../../../../_images/icsd-pred898.png

Phonon density of states

../../../../_images/dos898.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-97006-10-[InMg2]

-1.39886

-1.39773

icsd-58745-01-[Fe6Ge6Mg]

-1.39144

-1.39632

icsd-167735-10-[Ru2B3]

-1.37572

-1.37923

icsd-105521-10-[Al5W]

-1.37096

-1.37346

icsd-150584-10-[Fe13Ge3]

-1.35364

-1.35652

icsd-107998-10-[MoNi4]

-1.3501

-1.34749

icsd-189695-01-[CuHg2Ti]

-1.31883

-1.3199

icsd-188260-10-[Heusler-AlCu2Mn]

-1.31883

-1.3199

icsd-105191-01-[Al3Ti]

-1.31883

-1.31973

icsd-420250-01-[LiPd2Tl]

-1.31883

-1.31973

icsd-260285-01-[UCl3]

-1.3124

-1.31909

icsd-104506-01-[Ni3Sn]

-1.31239

-1.31924

icsd-416747-01-[Al3Zr]

-1.31079

-1.30829

icsd-640726-10-[CuSmP2]

-1.31079

-1.30829

icsd-643301-01-[Au3Cd]

-1.31078

-1.30828

icsd-649037-01-[Ni3Ti]

-1.31045

-1.31145

icsd-648572-01-[CuInPt2]

-1.30857

-1.30637

icsd-99787-10-[Fe3Pt]

-1.30857

-1.30637

icsd-181127-10-[Auricupride-AuCu3]

-1.30857

-1.30637

icsd-69199-01-[U3Si]

-1.30857

-1.30614

icsd-609153-01-[AlPt3]

-1.30857

-1.30625

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

-1.2945

-1.29338

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

-1.29372

-1.29543

icsd-246555-10-[Co2Nd]

-1.29329

-1.29271

icsd-652553-10-[AlCr2-MoSi2]

-1.28868

-1.29018

icsd-58607-10-[Au2Ti]

-1.28865

-1.29017

icsd-58471-01-[CuZr2]

-1.2885

-1.29016

icsd-155842-10-[Co5Fe11]

-1.27745

-1.27555

icsd-611176-01-[Fe2P]

-1.27466

-1.27665

icsd-105726-01-[Pd5Ti3]

-1.26375

-1.26458

icsd-629406-10-[Cu4Ti3]

-1.25623

-1.25681

icsd-629380-10-[Al3Os2]

-1.24811

-1.24893

icsd-659829-01-[Al2Li3]

-1.24298

-1.25332

icsd-42773-10-[IrGe4]

-1.24105

-1.25032

icsd-103995-01-[Ga3Ti2]

-1.23317

-1.234

icsd-16504-01-[CrSi2]

-1.22571

-1.22664

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

-1.22413

-1.23163

icsd-105948-01-[InNi2]

-1.22413

-1.23163

icsd-409859-10-[La2Sb]

-1.21165

-1.21083

icsd-610464-10-[PbClF/Cu2Sb]

-1.20819

-1.20957

icsd-103775-01-[NaTl]

-1.20803

-1.20781

icsd-240119-01-[AlLi]

-1.20803

-1.20783

icsd-105636-01-[PbU]

-1.20793

-1.20779

icsd-611457-01-[NbAs]

-1.20792

-1.20778

icsd-100654-01-[BiSe]

-1.20624

-1.20592

icsd-659856-01-[LiPt]

-1.19829

-1.19815

icsd-644708-01-[WC]

-1.19829

-1.19815

icsd-168897-01-[LaI]

-1.19806

-1.19723

icsd-626692-01-[Nickeline-NiAs]

-1.19806

-1.19723

icsd-611618-01-[TiAs]

-1.19799

-1.19724

icsd-618702-01-[ScTe]

-1.19798

-1.19724

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

-1.19794

-1.19734

icsd-639037-01-[HgIn]

-1.19794

-1.19734

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

-1.19794

-1.19734

icsd-629406-01-[Cu4Ti3]

-1.19615

-1.19518

icsd-639879-10-[In5In4]

-1.18961

-1.19483

icsd-106325-01-[BiIn]

-1.18722

-1.18589

icsd-42428-01-[Fe3Pt]

-1.18722

-1.18628

icsd-108707-01-[HgMn]

-1.18711

-1.1861

icsd-59508-01-[AuCu]

-1.18711

-1.1861

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

-1.18711

-1.1861

icsd-648748-10-[Pd4Se]

-1.18677

-1.18598

icsd-239-10-[Cu3Se2]

-1.18458

-1.18724

icsd-639879-01-[In5In4]

-1.18439

-1.18543

icsd-239-01-[Cu3Se2]

-1.18033

-1.17894

icsd-16606-10-[Nb3Te4]

-1.17608

-1.17902

icsd-59586-01-[Pd5Th3]

-1.16852

-1.17272

icsd-659829-10-[Al2Li3]

-1.16739

-1.17134

icsd-635642-01-[Hg5Mn2]

-1.16654

-1.16662

icsd-103995-10-[Ga3Ti2]

-1.16038

-1.15843

icsd-5258-01-[FeSi2]

-1.15831

-1.15715

icsd-618295-01-[MoC1-x]

-1.158

-1.16114

icsd-102712-01-[CoU]

-1.15583

-1.15845

icsd-650527-01-[CsCl]

-1.15237

-1.14999

icsd-58607-01-[Au2Ti]

-1.14695

-1.14551

icsd-58471-10-[CuZr2]

-1.14694

-1.14551

icsd-652553-01-[AlCr2-MoSi2]

-1.14684

-1.14545

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

-1.14534

-1.1459

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

-1.14395

-1.14498

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

-1.14181

-1.14123

icsd-629380-01-[Al3Os2]

-1.13442

-1.13521

icsd-611176-10-[Fe2P]

-1.13208

-1.1302

icsd-105726-10-[Pd5Ti3]

-1.13075

-1.13067

icsd-30446-10-[Fe2B]

-1.12854

-1.12598

icsd-59586-10-[Pd5Th3]

-1.1226

-1.12784

icsd-639227-01-[Si2U3]

-1.12146

-1.12365

icsd-635060-01-[Fersilicite-FeSi]

-1.11649

-1.11997

icsd-5258-10-[FeSi2]

-1.11616

-1.11728

icsd-155842-01-[Co5Fe11]

-1.11572

-1.11814

icsd-105191-10-[Al3Ti]

-1.11557

-1.11436

icsd-420250-10-[LiPd2Tl]

-1.11556

-1.11436

icsd-167735-01-[Ru2B3]

-1.1131

-1.11497

icsd-416747-10-[Al3Zr]

-1.11276

-1.11247

icsd-640726-01-[CuSmP2]

-1.11275

-1.11246

icsd-643301-10-[Au3Cd]

-1.11264

-1.11236

icsd-188260-01-[Heusler-AlCu2Mn]

-1.11249

-1.11351

icsd-189695-10-[CuHg2Ti]

-1.11249

-1.11351

icsd-104506-10-[Ni3Sn]

-1.11202

-1.11342

icsd-260285-10-[UCl3]

-1.11202

-1.11347

icsd-649037-10-[Ni3Ti]

-1.11137

-1.11281

icsd-639227-10-[Si2U3]

-1.11087

-1.10932

icsd-609153-10-[AlPt3]

-1.11068

-1.11059

icsd-648572-10-[CuInPt2]

-1.11068

-1.11048

icsd-181127-01-[Auricupride-AuCu3]

-1.11068

-1.11048

icsd-99787-01-[Fe3Pt]

-1.11067

-1.11048

icsd-69199-10-[U3Si]

-1.11055

-1.11046

icsd-107998-01-[MoNi4]

-1.10953

-1.10932

icsd-635642-10-[Hg5Mn2]

-1.1077

-1.11573

icsd-105521-01-[Al5W]

-1.10465

-1.10426

icsd-150584-01-[Fe13Ge3]

-1.10458

-1.1059

icsd-16504-10-[CrSi2]

-1.10242

-1.10617

icsd-30446-01-[Fe2B]

-1.10002

-1.09945

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

-1.09947

-1.09756

icsd-105948-10-[InNi2]

-1.09947

-1.09756

icsd-97006-01-[InMg2]

-1.09671

-1.09694

icsd-16606-01-[Nb3Te4]

-1.09113

-1.08943

icsd-185626-01-[Al3Ni2]

-1.08058

-1.08411

icsd-42773-01-[IrGe4]

-1.06666

-1.06862

icsd-648748-01-[Pd4Se]

-1.06291

-1.06289

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

-1.05425

-1.05428

icsd-635208-01-[CoGa3]

-1.05351

-1.05838

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

-1.05179

-1.0536

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

-1.05006

-1.04993

icsd-635208-10-[CoGa3]

-1.04942

-1.05563

icsd-409859-01-[La2Sb]

-1.04345

-1.04933

icsd-610464-01-[PbClF/Cu2Sb]

-1.04269

-1.0495

icsd-73839-10-[Ni3S2]

-1.04073

-1.044

icsd-246555-01-[Co2Nd]

-1.03977

-1.03848

icsd-185626-10-[Al3Ni2]

-1.03524

-1.02906

icsd-106786-01-[Hg2Pt]

-1.03409

-1.04089

icsd-58745-10-[Fe6Ge6Mg]

-1.02344

-1.0294

icsd-55492-01-[BaPt]

-1.01232

-1.01245

icsd-106786-10-[Hg2Pt]

-0.9686

-0.96536

icsd-638227-01-[Fluorite-CaF2]

-0.9681

-0.96347

icsd-248490-01-[Pt2Si]

-0.96809

-0.96338

icsd-169457-01-[ZrH2]

-0.96808

-0.96336

icsd-639148-01-[NiHg4]

-0.96278

-0.9642

icsd-108762-01-[Hg4Pt]

-0.96278

-0.9642

icsd-424636-01-[MnGa4]

-0.96278

-0.9642

icsd-169457-10-[ZrH2]

-0.95191

-0.9514

icsd-638227-10-[Fluorite-CaF2]

-0.95187

-0.95114

icsd-248490-10-[Pt2Si]

-0.95187

-0.95133

icsd-73839-01-[Ni3S2]

-0.94299

-0.9528

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

-0.93289

-0.93284

icsd-42472-01-[CoO]

-0.92984

-0.92475

icsd-181788-01-[NaCl]

-0.92983

-0.92505

icsd-161109-01-[CoSn]

-0.92702

-0.92592

icsd-639148-10-[NiHg4]

-0.90819

-0.9079

icsd-108762-10-[Hg4Pt]

-0.90819

-0.9079

icsd-424636-10-[MnGa4]

-0.90819

-0.9079

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.462

7.694

7.694

7.694

90.0

90.0

90.0

DFT

29.09

7.75

7.75

7.75

90.0

90.0

90.0

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

1

2

3

4

5

6

14.8

17.4

17.4

0.0

0.0

0.0

17.4

14.8

17.4

0.0

0.0

0.0

17.4

17.4

14.8

0.0

0.0

0.0

0.0

0.0

0.0

11.6

0.0

0.0

0.0

0.0

0.0

0.0

11.6

0.0

0.0

0.0

0.0

0.0

0.0

11.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.988

5.641

5.641

6.746

90.0

90.0

120.0

DFT

31.749

5.688

5.688

6.799

90.0

90.0

120.0

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

1

2

3

4

5

6

23.5

11.1

5.5

0.0

0.0

0.0

11.1

23.5

5.5

0.0

0.0

0.0

5.5

5.5

33.8

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

6.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.411

3.321

3.321

5.741

90.0

90.0

120.0

DFT

27.699

3.333

3.333

5.76

90.0

90.0

120.0

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

1

2

3

4

5

6

36.0

23.2

13.7

0.0

0.0

0.0

23.2

36.0

13.7

0.0

0.0

0.0

13.7

13.7

36.0

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

6.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.503

7.959

7.959

5.132

90.0

90.0

90.0

DFT

33.092

8.086

8.086

5.062

90.0

90.0

90.0

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

1

2

3

4

5

6

15.7

7.7

9.6

0.0

0.0

-3.7

7.7

15.7

9.6

0.0

0.0

3.7

9.6

9.6

13.5

0.0

0.0

0.0

0.0

0.0

0.0

8.2

0.0

0.0

0.0

0.0

0.0

0.0

8.2

0.0

-3.7

3.7

0.0

0.0

0.0

6.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.868

5.201

5.201

7.355

90.0

90.0

90.0

DFT

24.89

5.185

5.185

7.407

90.0

90.0

90.0

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

1

2

3

4

5

6

47.3

3.1

24.0

0.0

0.0

0.0

3.1

47.3

24.0

0.0

0.0

0.0

24.0

24.0

26.3

0.0

0.0

0.0

0.0

0.0

0.0

22.1

0.0

0.0

0.0

0.0

0.0

0.0

22.1

0.0

0.0

0.0

0.0

0.0

0.0

1.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.284

3.839

3.839

3.839

90.0

90.0

90.0

DFT

28.597

3.853

3.853

3.853

90.0

90.0

90.0

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

1

2

3

4

5

6

16.0

18.0

18.0

0.0

0.0

0.0

18.0

16.0

18.0

0.0

0.0

0.0

18.0

18.0

16.0

0.0

0.0

0.0

0.0

0.0

0.0

15.9

0.0

0.0

0.0

0.0

0.0

0.0

15.9

0.0

0.0

0.0

0.0

0.0

0.0

15.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.863

5.032

5.032

5.032

90.0

90.0

90.0

DFT

32.289

5.055

5.055

5.055

90.0

90.0

90.0

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

1

2

3

4

5

6

14.9

12.1

12.1

0.0

0.0

0.0

12.1

14.9

12.1

0.0

0.0

0.0

12.1

12.1

14.9

0.0

0.0

0.0

0.0

0.0

0.0

9.1

0.0

0.0

0.0

0.0

0.0

0.0

9.1

0.0

0.0

0.0

0.0

0.0

0.0

9.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.0

3.311

5.61

9.69

90.0

90.0

90.0

DFT

33.616

4.738

4.738

8.984

90.0

90.0

90.0

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

1

2

3

4

5

6

29.6

5.7

6.2

0.0

0.0

0.0

5.7

23.1

7.4

0.0

0.0

0.0

6.2

7.4

23.1

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

-1106.2

0.0

0.0

0.0

0.0

0.0

0.0

4.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.191

4.716

4.716

18.126

90.0

90.0

90.0

DFT

25.235

4.665

4.665

18.555

90.0

90.0

90.0

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

1

2

3

4

5

6

38.1

23.9

27.3

0.0

0.0

0.0

23.9

38.1

27.3

0.0

0.0

0.0

27.3

27.3

33.2

0.0

0.0

0.0

0.0

0.0

0.0

20.2

0.0

0.0

0.0

0.0

0.0

0.0

20.2

0.0

0.0

0.0

0.0

0.0

0.0

16.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.831

6.133

6.133

6.133

90.0

90.0

90.0

DFT

29.223

6.16

6.16

6.16

90.0

90.0

90.0

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

1

2

3

4

5

6

-55.9

50.0

50.1

0.0

0.0

0.0

50.0

-55.8

50.0

0.0

0.0

0.0

50.1

50.0

-55.9

0.0

0.0

0.0

0.0

0.0

0.0

-1.3

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

-1.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.066

9.478

9.478

3.458

90.0

90.0

90.0

DFT

31.647

9.481

9.481

3.521

90.0

90.0

90.0

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

1

2

3

4

5

6

13.2

16.7

9.4

0.0

0.0

0.0

16.7

13.2

9.4

0.0

0.0

0.0

9.4

9.4

24.1

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

8.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.887

7.127

7.127

5.799

90.0

90.0

120.0

DFT

32.442

7.17

7.17

5.83

90.0

90.0

120.0

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

1

2

3

4

5

6

18.7

12.6

6.7

0.0

0.0

0.0

12.6

18.7

6.7

0.0

0.0

0.0

6.7

6.7

23.5

0.0

0.0

0.0

0.0

0.0

0.0

3.9

0.0

0.0

0.0

0.0

0.0

0.0

3.9

0.0

0.0

0.0

0.0

0.0

0.0

3.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.18

3.222

15.869

9.216

90.0

90.0

90.0

DFT

26.114

3.2

15.856

9.264

90.0

90.0

90.0

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

1

2

3

4

5

6

43.2

13.9

13.5

0.0

0.0

0.0

13.9

41.5

20.8

0.0

0.0

0.0

13.5

20.8

44.4

0.0

0.0

0.0

0.0

0.0

0.0

12.1

0.0

0.0

0.0

0.0

0.0

0.0

5.3

0.0

0.0

0.0

0.0

0.0

0.0

4.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.611

3.256

5.309

9.238

90.0

90.0

90.0

DFT

29.111

4.562

4.562

8.393

90.0

90.0

90.0

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

1

2

3

4

5

6

36.0

12.1

11.7

0.0

0.0

0.0

12.1

47.2

18.9

0.0

0.0

0.0

11.7

18.9

42.4

0.0

0.0

0.0

0.0

0.0

0.0

12.2

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

7.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.271

6.612

6.612

5.339

90.0

90.0

120.0

DFT

25.311

6.646

6.646

5.294

90.0

90.0

120.0

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

1

2

3

4

5

6

42.1

25.1

16.9

0.0

0.0

0.0

25.1

42.1

16.9

0.0

0.0

0.0

16.9

16.9

52.2

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

8.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.272

6.599

6.599

10.721

90.0

90.0

120.0

DFT

25.279

6.615

6.615

10.672

90.0

90.0

120.0

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

1

2

3

4

5

6

44.5

25.5

17.4

0.0

0.0

0.0

25.5

44.5

17.4

0.0

0.0

0.0

17.4

17.4

53.3

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

9.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.956

9.679

9.679

3.323

90.0

90.0

120.0

DFT

31.007

9.804

9.804

3.352

90.0

90.0

120.0

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

1

2

3

4

5

6

22.2

7.5

5.8

0.0

0.0

0.0

7.5

22.2

5.8

0.0

0.0

0.0

5.8

5.8

27.7

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

7.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.715

7.22

7.22

4.741

90.0

90.0

90.0

DFT

24.719

7.215

7.215

4.748

90.0

90.0

90.0

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

1

2

3

4

5

6

45.3

23.4

27.0

0.0

0.0

-9.3

23.4

45.3

27.0

0.0

0.0

9.3

27.0

27.0

41.6

0.0

0.0

0.0

0.0

0.0

0.0

18.4

0.0

0.0

0.0

0.0

0.0

0.0

18.4

0.0

-9.3

9.3

0.0

0.0

0.0

15.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.772

5.988

5.988

11.505

90.0

90.0

120.0

DFT

30.487

6.563

6.563

9.808

90.0

90.0

120.0

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

1

2

3

4

5

6

19.1

15.8

5.9

0.0

0.0

0.0

15.8

19.0

5.9

0.0

0.0

0.0

5.9

5.9

26.3

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

0.0

0.0

0.0

0.0

0.0

0.0

1.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.083

5.704

5.704

8.331

90.0

90.0

120.0

DFT

26.486

5.718

5.718

8.419

90.0

90.0

120.0

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

1

2

3

4

5

6

39.9

18.3

8.7

0.0

0.0

0.0

18.3

39.9

8.7

0.0

0.0

0.0

8.7

8.7

52.3

0.0

0.0

0.0

0.0

0.0

0.0

-21.2

0.0

0.0

0.0

0.0

0.0

0.0

-21.2

0.0

0.0

0.0

0.0

0.0

0.0

10.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.868

7.355

7.355

7.355

90.0

90.0

90.0

DFT

24.93

7.361

7.361

7.361

90.0

90.0

90.0

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

1

2

3

4

5

6

26.3

24.0

24.0

0.0

0.0

0.0

24.0

26.3

24.0

0.0

0.0

0.0

24.0

24.0

26.3

0.0

0.0

0.0

0.0

0.0

0.0

22.1

0.0

0.0

0.0

0.0

0.0

0.0

22.1

0.0

0.0

0.0

0.0

0.0

0.0

22.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.669

5.282

5.282

6.375

90.0

90.0

120.0

DFT

26.015

5.32

5.32

6.369

90.0

90.0

120.0

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

1

2

3

4

5

6

34.8

17.6

8.9

0.0

0.0

0.0

17.6

34.8

8.9

0.0

0.0

0.0

8.9

8.9

58.3

0.0

0.0

0.0

0.0

0.0

0.0

4.4

0.0

0.0

0.0

0.0

0.0

0.0

4.4

0.0

0.0

0.0

0.0

0.0

0.0

8.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.273

4.658

4.658

4.658

90.0

90.0

90.0

DFT

25.372

4.665

4.665

4.665

90.0

90.0

90.0

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

1

2

3

4

5

6

36.9

26.6

26.6

0.0

0.0

0.0

26.6

36.9

26.6

0.0

0.0

0.0

26.6

26.6

36.9

0.0

0.0

0.0

0.0

0.0

0.0

18.6

0.0

0.0

0.0

0.0

0.0

0.0

18.6

0.0

0.0

0.0

0.0

0.0

0.0

18.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.455

3.319

3.319

11.511

90.0

90.0

120.0

DFT

27.711

3.331

3.331

11.535

90.0

90.0

120.0

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

1

2

3

4

5

6

36.0

23.1

13.7

0.0

0.0

0.0

23.1

36.0

13.7

0.0

0.0

0.0

13.7

13.7

38.4

0.0

0.0

0.0

0.0

0.0

0.0

6.7

0.0

0.0

0.0

0.0

0.0

0.0

6.7

0.0

0.0

0.0

0.0

0.0

0.0

6.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.634

5.109

5.109

9.697

90.0

90.0

90.0

DFT

32.14

5.105

5.105

9.866

90.0

90.0

90.0

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

1

2

3

4

5

6

16.3

10.6

11.6

0.0

0.0

0.0

10.6

16.3

11.6

0.0

0.0

0.0

11.6

11.6

14.0

0.0

0.0

0.0

0.0

0.0

0.0

10.0

0.0

0.0

0.0

0.0

0.0

0.0

10.0

0.0

0.0

0.0

0.0

0.0

0.0

8.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

26.614

7.594

12.286

3.287

82.31

102.5

66.48

DFT

27.942

9.101

9.101

3.373

90.0

90.0

90.0

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

1

2

3

4

5

6

35.3

20.0

20.5

1.8

-3.7

2.7

20.0

38.2

15.3

-4.3

1.2

-2.0

20.5

15.3

42.8

3.3

2.5

-2.8

1.8

-4.3

3.3

6.9

-1.6

1.4

-3.7

1.2

2.5

-1.6

11.8

0.2

2.7

-2.0

-2.8

1.4

0.2

12.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.588

6.169

6.169

10.045

90.0

90.0

120.0

DFT

27.759

6.168

6.168

10.109

90.0

90.0

120.0

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

1

2

3

4

5

6

43.2

19.6

17.8

0.0

0.0

0.0

19.6

43.2

17.8

0.0

0.0

0.0

17.8

17.8

44.1

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

0.0

11.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.344

6.075

6.075

8.826

90.0

90.0

120.0

DFT

31.226

6.055

6.055

8.851

90.0

90.0

120.0

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

1

2

3

4

5

6

22.3

10.8

4.7

0.0

0.0

0.0

10.8

22.3

4.7

0.0

0.0

0.0

4.7

4.7

26.7

0.0

0.0

0.0

0.0

0.0

0.0

-15.0

0.0

0.0

0.0

0.0

0.0

0.0

-15.1

0.0

0.0

0.0

0.0

0.0

0.0

5.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.712

7.625

7.625

7.625

90.0

90.0

90.0

DFT

27.878

7.641

7.641

7.641

90.0

90.0

90.0

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

1

2

3

4

5

6

27.5

23.2

23.2

0.0

0.0

0.0

23.2

27.5

23.2

0.0

0.0

0.0

23.2

23.2

27.5

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 (Ni3Ti(D024)(x=0.25))

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.874

7.122

7.122

11.609

90.0

90.0

120.0

DFT

32.358

7.165

7.165

11.646

90.0

90.0

120.0

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

1

2

3

4

5

6

19.0

12.7

6.9

0.0

0.0

0.0

12.7

19.0

6.9

0.0

0.0

0.0

6.9

6.9

24.4

0.0

0.0

0.0

0.0

0.0

0.0

3.9

0.0

0.0

0.0

0.0

0.0

0.0

3.9

0.0

0.0

0.0

0.0

0.0

0.0

3.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.753

5.076

5.076

19.72

90.0

90.0

90.0

DFT

32.243

5.019

5.019

20.478

90.0

90.0

90.0

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

1

2

3

4

5

6

15.6

11.3

12.0

0.0

0.0

0.0

11.3

15.6

12.0

0.0

0.0

0.0

12.0

12.0

14.9

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

8.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.245

3.299

3.299

5.19

90.0

90.0

90.0

DFT

28.374

3.29

3.29

5.244

90.0

90.0

90.0

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

1

2

3

4

5

6

41.3

11.0

16.6

0.0

0.0

0.0

11.0

41.3

16.6

0.0

0.0

0.0

16.6

16.6

28.0

0.0

0.0

0.0

0.0

0.0

0.0

11.4

0.0

0.0

0.0

0.0

0.0

0.0

11.4

0.0

0.0

0.0

0.0

0.0

0.0

0.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.341

7.945

7.945

7.945

90.0

90.0

90.0

DFT

32.151

8.013

8.013

8.013

90.0

90.0

90.0

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

1

2

3

4

5

6

12.3

11.3

11.3

0.0

0.0

0.0

11.3

12.3

11.3

0.0

0.0

0.0

11.3

11.3

12.3

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

9.0