gtinv-441 (Be-Si-2022-06-12)

Energy distribution

../../../../_images/distribution259.png

Convex hull (formation energy)

../../../../_images/convex259.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Be

1.0

0.0

Si

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-sep259.png

Prototype structure energy

../../../../_images/icsd-pred259.png

Phonon density of states

../../../../_images/dos259.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-167735-10-[Ru2B3]

-4.06006

-4.0602

icsd-639148-10-[NiHg4]

-3.97886

-3.97942

icsd-108762-10-[Hg4Pt]

-3.97886

-3.97942

icsd-424636-10-[MnGa4]

-3.97886

-3.97942

icsd-248490-10-[Pt2Si]

-3.95354

-3.95325

icsd-638227-10-[Fluorite-CaF2]

-3.95352

-3.95316

icsd-169457-10-[ZrH2]

-3.9535

-3.95313

icsd-97006-10-[InMg2]

-3.94904

-3.94967

icsd-648748-10-[Pd4Se]

-3.93796

-3.93972

icsd-42773-10-[IrGe4]

-3.9354

-3.94492

icsd-635642-01-[Hg5Mn2]

-3.92888

-3.92356

icsd-106786-10-[Hg2Pt]

-3.91145

-3.91121

icsd-5258-01-[FeSi2]

-3.89851

-3.89867

icsd-105521-10-[Al5W]

-3.895

-3.89537

icsd-107998-10-[MoNi4]

-3.88037

-3.88038

icsd-58745-01-[Fe6Ge6Mg]

-3.87322

-3.86563

icsd-30446-01-[Fe2B]

-3.87288

-3.8725

icsd-185626-10-[Al3Ni2]

-3.86746

-3.87053

icsd-239-10-[Cu3Se2]

-3.86067

-3.86058

icsd-58607-10-[Au2Ti]

-3.86036

-3.8603

icsd-652553-10-[AlCr2-MoSi2]

-3.86032

-3.86038

icsd-58471-01-[CuZr2]

-3.86022

-3.86041

icsd-105191-01-[Al3Ti]

-3.84846

-3.8494

icsd-420250-01-[LiPd2Tl]

-3.84845

-3.84941

icsd-643301-01-[Au3Cd]

-3.84722

-3.84802

icsd-640726-10-[CuSmP2]

-3.84704

-3.84808

icsd-416747-01-[Al3Zr]

-3.84684

-3.84812

icsd-609153-01-[AlPt3]

-3.84506

-3.84528

icsd-99787-10-[Fe3Pt]

-3.84505

-3.84467

icsd-648572-01-[CuInPt2]

-3.84504

-3.84467

icsd-181127-10-[Auricupride-AuCu3]

-3.84504

-3.84467

icsd-69199-01-[U3Si]

-3.84495

-3.845

icsd-659829-01-[Al2Li3]

-3.84288

-3.84626

icsd-649037-01-[Ni3Ti]

-3.84196

-3.8426

icsd-59586-01-[Pd5Th3]

-3.84134

-3.83964

icsd-104506-01-[Ni3Sn]

-3.83979

-3.83905

icsd-260285-01-[UCl3]

-3.83976

-3.83935

icsd-150584-10-[Fe13Ge3]

-3.83731

-3.83055

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

-3.83601

-3.83649

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

-3.83434

-3.83439

icsd-611176-01-[Fe2P]

-3.82451

-3.83195

icsd-635208-10-[CoGa3]

-3.82327

-3.82014

icsd-105726-01-[Pd5Ti3]

-3.82034

-3.82158

icsd-155842-10-[Co5Fe11]

-3.81648

-3.81589

icsd-610464-10-[PbClF/Cu2Sb]

-3.81562

-3.81615

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

-3.81104

-3.81134

icsd-16504-01-[CrSi2]

-3.80857

-3.80881

icsd-16606-01-[Nb3Te4]

-3.80123

-3.80231

icsd-629380-10-[Al3Os2]

-3.80037

-3.80107

icsd-629406-10-[Cu4Ti3]

-3.79934

-3.79941

icsd-409859-01-[La2Sb]

-3.79749

-3.79784

icsd-103995-01-[Ga3Ti2]

-3.79334

-3.7936

icsd-639227-10-[Si2U3]

-3.77807

-3.77792

icsd-188260-10-[Heusler-AlCu2Mn]

-3.77691

-3.77715

icsd-189695-01-[CuHg2Ti]

-3.77691

-3.77715

icsd-161109-01-[CoSn]

-3.76431

-3.76273

icsd-248490-01-[Pt2Si]

-3.76267

-3.76267

icsd-638227-01-[Fluorite-CaF2]

-3.76267

-3.76262

icsd-169457-01-[ZrH2]

-3.76266

-3.76267

icsd-611457-01-[NbAs]

-3.75946

-3.75935

icsd-105636-01-[PbU]

-3.75946

-3.75936

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

-3.75935

-3.75915

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

-3.75935

-3.75915

icsd-639037-01-[HgIn]

-3.75935

-3.75915

icsd-610464-01-[PbClF/Cu2Sb]

-3.75147

-3.75023

icsd-409859-10-[La2Sb]

-3.7458

-3.7468

icsd-108707-01-[HgMn]

-3.74274

-3.74277

icsd-59508-01-[AuCu]

-3.74274

-3.74277

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

-3.74274

-3.74277

icsd-639879-01-[In5In4]

-3.7427

-3.74274

icsd-42428-01-[Fe3Pt]

-3.74268

-3.74274

icsd-106325-01-[BiIn]

-3.74268

-3.74235

icsd-105948-01-[InNi2]

-3.7419

-3.74304

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

-3.7419

-3.74304

icsd-611618-01-[TiAs]

-3.73808

-3.7379

icsd-618702-01-[ScTe]

-3.73808

-3.7379

icsd-100654-01-[BiSe]

-3.73591

-3.73583

icsd-239-01-[Cu3Se2]

-3.73346

-3.73345

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

-3.73296

-3.73252

icsd-73839-10-[Ni3S2]

-3.73158

-3.72906

icsd-103995-10-[Ga3Ti2]

-3.72575

-3.72562

icsd-659829-10-[Al2Li3]

-3.72402

-3.7249

icsd-240119-01-[AlLi]

-3.72298

-3.72354

icsd-73839-01-[Ni3S2]

-3.72071

-3.71682

icsd-102712-01-[CoU]

-3.71779

-3.72109

icsd-185626-01-[Al3Ni2]

-3.71619

-3.71635

icsd-168897-01-[LaI]

-3.71505

-3.71414

icsd-626692-01-[Nickeline-NiAs]

-3.71505

-3.71414

icsd-629406-01-[Cu4Ti3]

-3.69869

-3.69867

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

-3.69408

-3.69418

icsd-16606-10-[Nb3Te4]

-3.6836

-3.68587

icsd-652553-01-[AlCr2-MoSi2]

-3.68232

-3.68272

icsd-58607-01-[Au2Ti]

-3.68229

-3.68272

icsd-58471-10-[CuZr2]

-3.68227

-3.68272

icsd-635060-01-[Fersilicite-FeSi]

-3.68194

-3.68222

icsd-16504-10-[CrSi2]

-3.67802

-3.67816

icsd-55492-01-[BaPt]

-3.67436

-3.675

icsd-246555-01-[Co2Nd]

-3.67071

-3.67006

icsd-648572-10-[CuInPt2]

-3.66812

-3.6689

icsd-181127-01-[Auricupride-AuCu3]

-3.66812

-3.6689

icsd-99787-01-[Fe3Pt]

-3.66812

-3.66889

icsd-609153-10-[AlPt3]

-3.66811

-3.66898

icsd-69199-10-[U3Si]

-3.66811

-3.66897

icsd-643301-10-[Au3Cd]

-3.6623

-3.66332

icsd-640726-01-[CuSmP2]

-3.6623

-3.66332

icsd-416747-10-[Al3Zr]

-3.6623

-3.66331

icsd-644708-01-[WC]

-3.66168

-3.66244

icsd-659856-01-[LiPt]

-3.66166

-3.66244

icsd-420250-10-[LiPd2Tl]

-3.66139

-3.66182

icsd-105191-10-[Al3Ti]

-3.66138

-3.66182

icsd-639879-10-[In5In4]

-3.65794

-3.65731

icsd-105726-10-[Pd5Ti3]

-3.65781

-3.65763

icsd-59586-10-[Pd5Th3]

-3.64257

-3.6426

icsd-649037-10-[Ni3Ti]

-3.6337

-3.63434

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

-3.62798

-3.62774

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

-3.62188

-3.62094

icsd-618295-01-[MoC1-x]

-3.62123

-3.6214

icsd-260285-10-[UCl3]

-3.61734

-3.6175

icsd-104506-10-[Ni3Sn]

-3.61726

-3.61749

icsd-107998-01-[MoNi4]

-3.61659

-3.61577

icsd-650527-01-[CsCl]

-3.61612

-3.61536

icsd-611176-10-[Fe2P]

-3.61027

-3.61096

icsd-635642-10-[Hg5Mn2]

-3.60721

-3.61518

icsd-629380-01-[Al3Os2]

-3.6058

-3.60638

icsd-167735-01-[Ru2B3]

-3.6009

-3.60051

icsd-103775-01-[NaTl]

-3.5896

-3.59141

icsd-42773-01-[IrGe4]

-3.58498

-3.59073

icsd-105521-01-[Al5W]

-3.58139

-3.58105

icsd-155842-01-[Co5Fe11]

-3.57417

-3.5731

icsd-106786-01-[Hg2Pt]

-3.56938

-3.57012

icsd-58745-10-[Fe6Ge6Mg]

-3.56744

-3.56612

icsd-105948-10-[InNi2]

-3.56109

-3.5616

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

-3.56109

-3.5616

icsd-181788-01-[NaCl]

-3.55296

-3.55309

icsd-42472-01-[CoO]

-3.55295

-3.55306

icsd-639227-01-[Si2U3]

-3.54318

-3.54357

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

-3.54206

-3.54226

icsd-97006-01-[InMg2]

-3.53026

-3.53024

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

-3.52453

-3.52596

icsd-246555-10-[Co2Nd]

-3.49279

-3.49296

icsd-189695-10-[CuHg2Ti]

-3.48344

-3.48358

icsd-188260-01-[Heusler-AlCu2Mn]

-3.48344

-3.48358

icsd-648748-01-[Pd4Se]

-3.48094

-3.48289

icsd-150584-01-[Fe13Ge3]

-3.47921

-3.4785

icsd-5258-10-[FeSi2]

-3.43639

-3.43808

icsd-30446-10-[Fe2B]

-3.41912

-3.41909

icsd-635208-01-[CoGa3]

-3.39399

-3.39604

icsd-424636-01-[MnGa4]

-3.13395

-3.13389

icsd-108762-01-[Hg4Pt]

-3.13395

-3.13389

icsd-639148-01-[NiHg4]

-3.13395

-3.13389

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

11.657

5.714

5.714

5.714

90.0

90.0

90.0

DFT

11.572

5.7

5.7

5.7

90.0

90.0

90.0

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

1

2

3

4

5

6

135.1

98.6

98.6

0.0

0.0

0.0

98.6

135.1

98.6

0.0

0.0

0.0

98.6

98.6

135.1

0.0

0.0

0.0

0.0

0.0

0.0

-37.0

0.0

0.0

0.0

0.0

0.0

0.0

-37.0

0.0

0.0

0.0

0.0

0.0

0.0

-37.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.359

5.326

2.51

4.783

90.0

90.0

103.63

DFT

10.649

3.897

3.897

4.858

90.0

90.0

120.0

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

1

2

3

4

5

6

207.7

103.5

81.8

0.0

0.0

5.8

103.5

232.7

101.9

0.0

0.0

-12.2

81.8

101.9

264.4

0.0

0.0

-5.2

0.0

0.0

0.0

106.3

0.3

0.0

0.0

0.0

0.0

0.3

107.4

0.0

5.8

-12.2

-5.2

0.0

0.0

45.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

11.589

2.625

2.625

3.886

90.0

90.0

120.0

DFT

11.501

2.629

2.629

3.842

90.0

90.0

120.0

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

1

2

3

4

5

6

129.2

118.0

81.9

0.0

0.0

0.0

118.0

129.2

81.9

0.0

0.0

0.0

81.9

81.9

101.2

0.0

0.0

0.0

0.0

0.0

0.0

-0.5

0.0

0.0

0.0

0.0

0.0

0.0

-0.5

0.0

0.0

0.0

0.0

0.0

0.0

5.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

9.584

5.333

5.333

3.37

90.0

90.0

90.0

DFT

9.62

5.352

5.352

3.359

90.0

90.0

90.0

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

1

2

3

4

5

6

197.6

54.9

38.4

0.0

0.0

58.1

54.9

197.6

38.4

0.0

0.0

-58.1

38.4

38.4

256.8

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

58.1

-58.1

0.0

0.0

0.0

7.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.749

3.763

3.763

7.203

90.0

90.0

90.0

DFT

12.714

3.774

3.774

7.141

90.0

90.0

90.0

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

1

2

3

4

5

6

58.9

92.5

70.4

0.0

0.0

0.0

92.5

58.9

70.4

0.0

0.0

0.0

70.4

70.4

134.4

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

12.1

0.0

0.0

0.0

0.0

0.0

0.0

13.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

11.379

2.834

2.834

2.834

90.0

90.0

90.0

DFT

11.368

2.833

2.833

2.833

90.0

90.0

90.0

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

1

2

3

4

5

6

19.2

128.6

128.6

0.0

0.0

0.0

128.6

19.2

128.6

0.0

0.0

0.0

128.6

128.6

19.2

0.0

0.0

0.0

0.0

0.0

0.0

25.7

0.0

0.0

0.0

0.0

0.0

0.0

25.7

0.0

0.0

0.0

0.0

0.0

0.0

25.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

9.913

3.41

3.41

3.41

90.0

90.0

90.0

DFT

9.88

3.406

3.406

3.406

90.0

90.0

90.0

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

1

2

3

4

5

6

309.2

54.0

54.0

0.0

0.0

0.0

54.0

309.2

54.0

0.0

0.0

0.0

54.0

54.0

309.2

0.0

0.0

0.0

0.0

0.0

0.0

-3.3

0.0

0.0

0.0

0.0

0.0

0.0

-3.3

0.0

0.0

0.0

0.0

0.0

0.0

-3.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.593

3.467

3.467

5.286

90.0

90.0

90.0

DFT

10.733

3.454

3.454

5.398

90.0

90.0

90.0

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

1

2

3

4

5

6

232.2

0.0

29.5

0.0

0.0

0.0

0.0

232.2

29.5

0.0

0.0

0.0

29.5

29.5

124.9

0.0

0.0

0.0

0.0

0.0

0.0

21.5

0.0

0.0

0.0

0.0

0.0

0.0

21.5

0.0

0.0

0.0

0.0

0.0

0.0

28.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.775

3.849

3.593

14.783

90.0

90.0

90.0

DFT

12.732

3.782

3.782

14.241

90.0

90.0

90.0

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

1

2

3

4

5

6

92.1

81.4

81.2

0.0

-5535.8

0.0

81.4

101.4

86.7

0.0

-21824.7

0.0

81.2

86.7

117.3

0.0

3518.4

0.0

0.0

0.0

0.0

-27.6

42397.7

0.0

-5535.8

-21824.7

3518.4

42397.7

-83739.9

28708.7

0.0

0.0

0.0

0.0

28708.7

15.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

11.627

4.531

4.531

4.531

90.0

90.0

90.0

DFT

11.496

4.514

4.514

4.514

90.0

90.0

90.0

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

1

2

3

4

5

6

-76.8

153.1

153.1

0.0

0.0

0.0

153.1

-76.8

153.1

0.0

0.0

0.0

153.1

153.1

-76.8

0.0

0.0

0.0

0.0

0.0

0.0

-118.0

0.0

0.0

0.0

0.0

0.0

0.0

-118.0

0.0

0.0

0.0

0.0

0.0

0.0

-118.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

11.815

7.015

7.015

2.401

90.0

90.0

90.0

DFT

11.768

7.001

7.001

2.401

90.0

90.0

90.0

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

1

2

3

4

5

6

-515424.6

515622.3

46.9

0.0

0.0

0.0

515622.3

-515424.6

46.9

0.0

0.0

0.0

46.9

46.9

266.6

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

11.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

9.946

5.598

4.631

4.162

74.67

113.1

126.64

DFT

9.854

4.75

4.75

4.034

90.0

90.0

120.0

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

1

2

3

4

5

6

184.0

99.7

120.4

-8.0

29.1

-5.7

99.7

239.1

101.8

20.0

-7.5

-12.3

120.4

101.8

182.4

1.4

-7.5

11.3

-8.0

20.0

1.4

105.7

-25.3

0.4

29.1

-7.5

-7.5

-25.3

82.3

-2.5

-5.7

-12.3

11.3

0.4

-2.5

69.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.481

3.364

10.756

6.21

90.0

90.0

90.0

DFT

12.488

2.859

11.703

6.718

90.0

90.0

90.0

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

1

2

3

4

5

6

222.1

78.5

78.5

0.0

0.0

0.0

78.5

111.6

77.2

0.0

0.0

0.0

78.5

77.2

111.6

0.0

0.0

0.0

0.0

0.0

0.0

17.2

0.0

0.0

0.0

0.0

0.0

0.0

45.4

0.0

0.0

0.0

0.0

0.0

0.0

45.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.868

3.502

3.502

6.294

90.0

90.0

90.0

DFT

13.482

3.44

3.44

6.836

90.0

90.0

90.0

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

1

2

3

4

5

6

154.4

116.6

78.3

0.0

0.0

0.0

116.6

154.4

78.3

0.0

0.0

0.0

78.3

78.3

133.0

0.0

0.0

0.0

0.0

0.0

0.0

2.1

0.0

0.0

0.0

0.0

0.0

0.0

2.1

0.0

0.0

0.0

0.0

0.0

0.0

63.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.036

6.78

7.409

4.47

90.0

90.0

90.0

DFT

12.843

5.167

8.924

4.457

90.0

90.0

90.0

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

1

2

3

4

5

6

213620.6

-108629.6

-125132.2

0.0

0.0

24890.6

-108629.6

188.7

39.0

0.0

0.0

0.0

-125132.2

39.0

92.1

0.0

0.0

0.0

0.0

0.0

0.0

53.8

-6.9

0.0

0.0

0.0

0.0

-6.9

42.5

0.0

24890.6

0.0

0.0

0.0

0.0

-99476.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.745

5.18

5.18

8.775

90.0

90.0

120.0

DFT

12.756

5.208

5.208

8.688

90.0

90.0

120.0

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

1

2

3

4

5

6

518639.9

442883.9

190900.6

285232.6

0.0

-43808.6

442883.9

442704.2

132258.0

94680.0

-51962.5

28290.0

190900.6

132258.0

122.0

113160.1

0.0

-0.4

285232.6

94680.0

113160.1

10.0

-0.2

128837.3

0.0

-51962.5

0.0

-0.2

19.8

0.0

-43808.6

28290.0

-0.4

128837.3

0.0

71972.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.942

6.495

7.686

2.447

90.0

90.0

126.28

DFT

10.616

6.713

6.713

2.448

90.0

90.0

120.0

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

1

2

3

4

5

6

183.3

122.9

83.9

0.0

0.0

15.8

122.9

175.5

98.8

0.0

0.0

-3.3

83.9

98.8

209.2

0.0

0.0

-23.7

0.0

0.0

0.0

14.9

5.0

0.0

0.0

0.0

0.0

5.0

18.1

0.0

15.8

-3.3

-23.7

0.0

0.0

55.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

13.015

5.706

5.706

3.997

90.0

90.0

90.0

DFT

13.087

5.995

5.995

3.641

90.0

90.0

90.0

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

1

2

3

4

5

6

133.8

85.9

41.0

0.0

0.0

-4.4

85.9

133.8

41.0

0.0

0.0

4.4

41.0

41.0

92.8

0.0

0.0

0.0

0.0

0.0

0.0

-1.4

0.0

0.0

0.0

0.0

0.0

0.0

-1.4

0.0

-4.4

4.4

0.0

0.0

0.0

17.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.104

4.338

4.338

7.441

90.0

90.0

120.0

DFT

10.093

4.317

4.317

7.503

90.0

90.0

120.0

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

1

2

3

4

5

6

162.1

108.7

119.5

0.0

0.0

0.0

108.7

162.1

119.5

0.0

0.0

0.0

119.5

119.5

148.1

0.0

0.0

0.0

0.0

0.0

0.0

36.6

0.0

0.0

0.0

0.0

0.0

0.0

36.6

0.0

0.0

0.0

0.0

0.0

0.0

26.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.599

4.446

4.446

6.623

90.0

90.0

120.0

DFT

12.399

4.377

4.377

6.727

90.0

90.0

120.0

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

1

2

3

4

5

6

110.7

73.7

77.7

0.0

0.0

0.0

73.7

110.7

77.7

0.0

0.0

0.0

77.7

77.7

212.3

0.0

0.0

0.0

0.0

0.0

0.0

1.0

0.0

0.0

0.0

0.0

0.0

0.0

1.0

0.0

0.0

0.0

0.0

0.0

0.0

18.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

13.01

5.926

5.926

5.926

90.0

90.0

90.0

DFT

13.123

5.944

5.944

5.944

90.0

90.0

90.0

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

1

2

3

4

5

6

30.5

128.9

128.9

0.0

0.0

0.0

128.9

30.5

128.9

0.0

0.0

0.0

128.9

128.9

30.5

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

-6.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

13.121

5.28

3.231

4.847

90.0

90.0

107.82

DFT

12.614

4.081

4.081

5.247

90.0

90.0

120.0

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

1

2

3

4

5

6

179.8

87.3

55.2

0.0

0.0

-6.4

87.3

118.1

40.5

0.0

0.0

28.4

55.2

40.5

166.2

0.0

0.0

5.3

0.0

0.0

0.0

3.3

2.2

0.0

0.0

0.0

0.0

2.2

9.4

0.0

-6.4

28.4

5.3

0.0

0.0

42.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.802

3.714

3.714

3.714

90.0

90.0

90.0

DFT

12.749

3.708

3.708

3.708

90.0

90.0

90.0

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

1

2

3

4

5

6

110.3

81.1

81.1

0.0

0.0

0.0

81.1

110.3

81.1

0.0

0.0

0.0

81.1

81.1

110.3

0.0

0.0

0.0

0.0

0.0

0.0

24.4

0.0

0.0

0.0

0.0

0.0

0.0

24.4

0.0

0.0

0.0

0.0

0.0

0.0

24.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

11.557

2.661

2.661

7.54

90.0

90.0

120.0

DFT

11.603

2.675

2.675

7.49

90.0

90.0

120.0

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

1

2

3

4

5

6

132.8

95.8

107.7

0.0

0.0

0.0

95.8

132.8

107.7

0.0

0.0

0.0

107.7

107.7

285.9

0.0

0.0

0.0

0.0

0.0

0.0

40.3

0.0

0.0

0.0

0.0

0.0

0.0

40.3

0.0

0.0

0.0

0.0

0.0

0.0

18.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

9.817

3.403

3.403

6.783

90.0

90.0

90.0

DFT

9.875

3.402

3.402

6.828

90.0

90.0

90.0

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

1

2

3

4

5

6

288.0

53.7

49.5

0.0

0.0

0.0

53.7

288.0

49.5

0.0

0.0

0.0

49.5

49.5

293.3

0.0

0.0

0.0

0.0

0.0

0.0

-7.7

0.0

0.0

0.0

0.0

0.0

0.0

-7.7

0.0

0.0

0.0

0.0

0.0

0.0

-0.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

12.302

6.096

6.096

3.31

90.0

90.0

90.0

DFT

12.185

6.011

6.011

3.373

90.0

90.0

90.0

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

1

2

3

4

5

6

-224845.9

225083.4

80.3

0.0

0.0

0.0

225083.4

-224845.9

80.3

0.0

0.0

0.0

80.3

80.3

208.3

0.0

0.0

0.0

0.0

0.0

0.0

29.8

0.0

0.0

0.0

0.0

0.0

0.0

29.8

0.0

0.0

0.0

0.0

0.0

0.0

47.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

14.986

6.17

5.445

5.626

90.0

90.0

107.94

DFT

14.314

5.555

5.555

6.427

90.0

90.0

120.0

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

1

2

3

4

5

6

83.4

74.8

85.5

0.0

0.0

-6.8

74.8

93.4

62.3

0.0

0.0

11.1

85.5

62.3

129.2

0.0

0.0

-6.7

0.0

0.0

0.0

28.6

0.3

0.0

0.0

0.0

0.0

0.3

34.3

0.0

-6.8

11.1

-6.7

0.0

0.0

30.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

10.427

4.136

4.136

6.334

90.0

90.0

120.0

DFT

10.457

4.137

4.137

6.348

90.0

90.0

120.0

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

1

2

3

4

5

6

208.5

87.3

95.8

0.0

0.0

0.0

87.3

208.5

95.8

0.0

0.0

0.0

95.8

95.8

179.6

0.0

0.0

0.0

0.0

0.0

0.0

29.8

0.0

0.0

0.0

0.0

0.0

0.0

29.8

0.0

0.0

0.0

0.0

0.0

0.0

60.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

11.533

5.693

5.693

5.693

90.0

90.0

90.0

DFT

11.528

5.692

5.692

5.692

90.0

90.0

90.0

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

1

2

3

4

5

6

39.2

168.6

168.6

0.0

0.0

0.0

168.6

39.2

168.6

0.0

0.0

0.0

168.6

168.6

39.2

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

-8.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

9.964

4.939

4.939

7.545

90.0

90.0

120.0

DFT

9.867

4.793

4.793

7.934

90.0

90.0

120.0

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

1

2

3

4

5

6

167.1

152.9

122.8

0.0

0.0

0.0

152.9

167.1

122.8

0.0

0.0

0.0

122.8

122.8

149.1

0.0

0.0

0.0

0.0

0.0

0.0

41.6

0.0

0.0

0.0

0.0

0.0

0.0

41.6

0.0

0.0

0.0

0.0

0.0

0.0

7.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

9.823

3.407

3.407

13.541

90.0

90.0

90.0

DFT

9.86

3.401

3.401

13.636

90.0

90.0

90.0

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

1

2

3

4

5

6

316.6

68.7

63.8

0.0

0.0

0.0

68.7

316.6

63.8

0.0

0.0

0.0

63.8

63.8

320.3

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

-5.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

11.197

2.553

2.553

3.437

90.0

90.0

90.0

DFT

11.157

2.55

2.55

3.431

90.0

90.0

90.0

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

1

2

3

4

5

6

153.8

85.6

52.8

0.0

0.0

0.0

85.6

153.8

52.8

0.0

0.0

0.0

52.8

52.8

171.4

0.0

0.0

0.0

0.0

0.0

0.0

10.5

0.0

0.0

0.0

0.0

0.0

0.0

10.5

0.0

0.0

0.0

0.0

0.0

0.0

13.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

9.905

5.412

5.412

5.412

90.0

90.0

90.0

DFT

9.886

5.408

5.408

5.408

90.0

90.0

90.0

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

1

2

3

4

5

6

34.6

126.8

126.8

0.0

2940.1

-82762.2

126.8

34.6

126.8

0.0

36244.5

-82763.4

126.8

126.8

34.6

0.0

25410.7

48037.3

0.0

0.0

0.0

-7.5

39797.1

0.0

2940.1

36244.5

25410.7

39797.1

20763.7

-10778.4

-82762.2

-82763.4

48037.3

0.0

-10778.4

124722.0