pair-60 (Ge-Sr-2022-06-12)

Energy distribution

../../../../_images/distribution470.png

Convex hull (formation energy)

../../../../_images/convex470.png

Stable structures

Convex hull (formation energy)

Composition

Formation energy (eV/atom)

Structure

0.0

0.0

Ge

0.375

-0.5148

icsd-59586-10-[Pd5Th3]

0.5

-0.5597

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

0.6667

-0.5116

icsd-638227-10-[Fluorite-CaF2]

0.6667

-0.5116

icsd-248490-10-[Pt2Si]

0.6667

-0.5116

icsd-169457-10-[ZrH2]

1.0

0.0

Sr

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-sep470.png

Prototype structure energy

../../../../_images/icsd-pred470.png

Phonon density of states

../../../../_images/dos470.png

Prototype structure energy, Lattice constants, Elastic constants

Prototype structure energy

Prototype

MLP (eV/atom)

DFT (eV/atom)

icsd-260285-10-[UCl3]

-3.50467

-3.50643

icsd-104506-10-[Ni3Sn]

-3.50456

-3.50642

icsd-59586-10-[Pd5Th3]

-3.44857

-3.44817

icsd-107998-01-[MoNi4]

-3.43507

-3.43492

icsd-167735-01-[Ru2B3]

-3.42116

-3.42061

icsd-649037-10-[Ni3Ti]

-3.41933

-3.43526

icsd-246555-01-[Co2Nd]

-3.38333

-3.38258

icsd-58745-10-[Fe6Ge6Mg]

-3.38076

-3.3753

icsd-150584-01-[Fe13Ge3]

-3.37621

-3.37303

icsd-97006-01-[InMg2]

-3.37396

-3.37355

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

-3.36497

-3.36478

icsd-69199-10-[U3Si]

-3.36265

-3.36293

icsd-609153-10-[AlPt3]

-3.3624

-3.36283

icsd-648572-10-[CuInPt2]

-3.3624

-3.3627

icsd-181127-01-[Auricupride-AuCu3]

-3.3624

-3.3627

icsd-99787-01-[Fe3Pt]

-3.36237

-3.36265

icsd-42773-01-[IrGe4]

-3.355

-3.3884

icsd-635642-10-[Hg5Mn2]

-3.33733

-3.34598

icsd-648748-01-[Pd4Se]

-3.33039

-3.3316

icsd-610464-01-[PbClF/Cu2Sb]

-3.32574

-3.32658

icsd-640726-01-[CuSmP2]

-3.32146

-3.32582

icsd-416747-10-[Al3Zr]

-3.32144

-3.32582

icsd-643301-10-[Au3Cd]

-3.32134

-3.3258

icsd-58607-01-[Au2Ti]

-3.3161

-3.31593

icsd-652553-01-[AlCr2-MoSi2]

-3.3161

-3.31593

icsd-58471-10-[CuZr2]

-3.31609

-3.31593

icsd-105521-01-[Al5W]

-3.31471

-3.3153

icsd-409859-01-[La2Sb]

-3.3125

-3.31262

icsd-105191-10-[Al3Ti]

-3.28979

-3.28931

icsd-420250-10-[LiPd2Tl]

-3.28979

-3.28931

icsd-155842-01-[Co5Fe11]

-3.26793

-3.27339

icsd-105726-10-[Pd5Ti3]

-3.26271

-3.26331

icsd-611176-10-[Fe2P]

-3.24682

-3.25632

icsd-629380-01-[Al3Os2]

-3.23167

-3.23093

icsd-239-01-[Cu3Se2]

-3.22568

-3.22491

icsd-106786-01-[Hg2Pt]

-3.21296

-3.21243

icsd-16606-10-[Nb3Te4]

-3.201

-3.20239

icsd-73839-01-[Ni3S2]

-3.20088

-3.20483

icsd-103995-10-[Ga3Ti2]

-3.19968

-3.19987

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

-3.18929

-3.18702

icsd-16504-10-[CrSi2]

-3.18724

-3.18649

icsd-659829-10-[Al2Li3]

-3.16646

-3.17084

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

-3.16166

-3.16073

icsd-189695-10-[CuHg2Ti]

-3.16018

-3.17162

icsd-188260-01-[Heusler-AlCu2Mn]

-3.16017

-3.17162

icsd-105948-10-[InNi2]

-3.12716

-3.12699

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

-3.12715

-3.12699

icsd-639879-01-[In5In4]

-3.11421

-3.112

icsd-635208-01-[CoGa3]

-3.08643

-3.07904

icsd-42428-01-[Fe3Pt]

-3.07797

-3.07808

icsd-106325-01-[BiIn]

-3.07797

-3.07852

icsd-108707-01-[HgMn]

-3.07797

-3.07808

icsd-59508-01-[AuCu]

-3.07797

-3.07808

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

-3.07797

-3.07809

icsd-650527-01-[CsCl]

-3.07104

-3.07426

icsd-102712-01-[CoU]

-3.07104

-3.07425

icsd-629406-01-[Cu4Ti3]

-3.07004

-3.06864

icsd-5258-10-[FeSi2]

-3.05403

-3.05424

icsd-161109-01-[CoSn]

-3.03737

-3.03743

icsd-100654-01-[BiSe]

-2.95885

-2.95804

icsd-639227-10-[Si2U3]

-2.95396

-2.95466

icsd-639879-10-[In5In4]

-2.95037

-2.95035

icsd-185626-01-[Al3Ni2]

-2.90486

-2.90303

icsd-611457-01-[NbAs]

-2.9

-2.90162

icsd-105636-01-[PbU]

-2.9

-2.90162

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

-2.89207

-2.89236

icsd-639037-01-[HgIn]

-2.89207

-2.89236

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

-2.89207

-2.89236

icsd-635060-01-[Fersilicite-FeSi]

-2.88962

-2.89523

icsd-618702-01-[ScTe]

-2.88769

-2.88749

icsd-611618-01-[TiAs]

-2.88769

-2.88749

icsd-626692-01-[Nickeline-NiAs]

-2.88416

-2.88388

icsd-168897-01-[LaI]

-2.88416

-2.88388

icsd-16606-01-[Nb3Te4]

-2.88404

-2.91801

icsd-30446-10-[Fe2B]

-2.87852

-2.8789

icsd-55492-01-[BaPt]

-2.87356

-2.87356

icsd-659856-01-[LiPt]

-2.86235

-2.86037

icsd-644708-01-[WC]

-2.86235

-2.86037

icsd-185626-10-[Al3Ni2]

-2.85539

-2.84421

icsd-629380-10-[Al3Os2]

-2.82817

-2.82752

icsd-248490-10-[Pt2Si]

-2.82811

-2.82855

icsd-169457-10-[ZrH2]

-2.82811

-2.82855

icsd-638227-10-[Fluorite-CaF2]

-2.82811

-2.82856

icsd-639227-01-[Si2U3]

-2.82525

-2.82522

icsd-618295-01-[MoC1-x]

-2.81768

-2.82041

icsd-638227-01-[Fluorite-CaF2]

-2.81062

-2.80926

icsd-248490-01-[Pt2Si]

-2.81062

-2.8103

icsd-169457-01-[ZrH2]

-2.8106

-2.81019

icsd-611176-01-[Fe2P]

-2.80367

-2.81641

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

-2.79314

-2.79255

icsd-103995-01-[Ga3Ti2]

-2.78501

-2.78674

icsd-629406-10-[Cu4Ti3]

-2.78324

-2.78652

icsd-59586-01-[Pd5Th3]

-2.77986

-2.77968

icsd-105948-01-[InNi2]

-2.7791

-2.77794

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

-2.77909

-2.77794

icsd-610464-10-[PbClF/Cu2Sb]

-2.76524

-2.76812

icsd-105726-01-[Pd5Ti3]

-2.76417

-2.76516

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

-2.75146

-2.75158

icsd-181788-01-[NaCl]

-2.722

-2.72024

icsd-42472-01-[CoO]

-2.722

-2.72028

icsd-30446-01-[Fe2B]

-2.71879

-2.72006

icsd-73839-10-[Ni3S2]

-2.70022

-2.7239

icsd-106786-10-[Hg2Pt]

-2.67829

-2.67994

icsd-409859-10-[La2Sb]

-2.6731

-2.67375

icsd-103775-01-[NaTl]

-2.66975

-2.67005

icsd-240119-01-[AlLi]

-2.66968

-2.67022

icsd-659829-01-[Al2Li3]

-2.66328

-2.66307

icsd-58471-01-[CuZr2]

-2.6631

-2.66234

icsd-58607-10-[Au2Ti]

-2.66304

-2.66231

icsd-652553-10-[AlCr2-MoSi2]

-2.66301

-2.66231

icsd-424636-01-[MnGa4]

-2.61502

-2.61484

icsd-108762-01-[Hg4Pt]

-2.61502

-2.61484

icsd-639148-01-[NiHg4]

-2.61502

-2.61484

icsd-5258-01-[FeSi2]

-2.60791

-2.60923

icsd-239-10-[Cu3Se2]

-2.55237

-2.55212

icsd-16504-01-[CrSi2]

-2.50331

-2.5044

icsd-155842-10-[Co5Fe11]

-2.47761

-2.47938

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

-2.47431

-2.47544

icsd-635208-10-[CoGa3]

-2.36836

-2.37147

icsd-260285-01-[UCl3]

-2.36094

-2.36028

icsd-104506-01-[Ni3Sn]

-2.36091

-2.36025

icsd-635642-01-[Hg5Mn2]

-2.35345

-2.3626

icsd-649037-01-[Ni3Ti]

-2.32618

-2.34106

icsd-181127-10-[Auricupride-AuCu3]

-2.32583

-2.32731

icsd-648572-01-[CuInPt2]

-2.32583

-2.32731

icsd-99787-10-[Fe3Pt]

-2.32583

-2.32731

icsd-609153-01-[AlPt3]

-2.32582

-2.32729

icsd-69199-01-[U3Si]

-2.3258

-2.3273

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

-2.27807

-2.27816

icsd-640726-10-[CuSmP2]

-2.25759

-2.25694

icsd-416747-01-[Al3Zr]

-2.25758

-2.25694

icsd-643301-01-[Au3Cd]

-2.25751

-2.25687

icsd-107998-10-[MoNi4]

-2.25342

-2.25397

icsd-420250-01-[LiPd2Tl]

-2.21871

-2.21888

icsd-105191-01-[Al3Ti]

-2.21871

-2.21888

icsd-648748-10-[Pd4Se]

-2.2013

-2.19908

icsd-188260-10-[Heusler-AlCu2Mn]

-2.16624

-2.16245

icsd-189695-01-[CuHg2Ti]

-2.16624

-2.16246

icsd-42773-10-[IrGe4]

-2.15865

-2.15546

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

-2.15262

-2.15115

icsd-167735-10-[Ru2B3]

-2.13277

-2.13238

icsd-424636-10-[MnGa4]

-2.11869

-2.11678

icsd-108762-10-[Hg4Pt]

-2.11869

-2.11678

icsd-639148-10-[NiHg4]

-2.11869

-2.11678

icsd-150584-10-[Fe13Ge3]

-1.98467

-1.98272

icsd-97006-10-[InMg2]

-1.92737

-1.92639

icsd-105521-10-[Al5W]

-1.90604

-1.90878

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

-1.87921

-1.87912

icsd-246555-10-[Co2Nd]

-1.78781

-1.78689

icsd-58745-01-[Fe6Ge6Mg]

-1.51364

-1.51322

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.793

7.348

7.348

7.348

90.0

90.0

90.0

DFT

28.753

7.72

7.72

7.72

90.0

90.0

90.0

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

1

2

3

4

5

6

305.5

72.9

72.9

0.0

0.0

0.0

72.9

305.5

72.9

0.0

0.0

0.0

72.9

72.9

305.5

0.0

0.0

0.0

0.0

0.0

0.0

174.3

0.0

0.0

0.0

0.0

0.0

0.0

174.3

0.0

0.0

0.0

0.0

0.0

0.0

174.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.805

5.874

5.874

6.369

90.0

90.0

135.21

DFT

25.494

5.27

5.27

6.359

90.0

90.0

120.0

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

1

2

3

4

5

6

85.3

28.3

9.1

0.0

0.0

8.4

28.3

102.7

28.1

0.0

0.0

0.2

9.1

28.1

136.6

0.0

0.0

9.4

0.0

0.0

0.0

16.5

1.3

0.0

0.0

0.0

0.0

1.3

14.0

0.0

8.4

0.2

9.4

0.0

0.0

32.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.035

3.855

3.855

4.823

90.0

90.0

120.0

DFT

31.234

3.863

3.863

4.834

90.0

90.0

120.0

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

1

2

3

4

5

6

32.5

16.9

28.4

0.0

0.0

0.0

16.9

32.5

28.4

0.0

0.0

0.0

28.4

28.4

128.8

0.0

0.0

0.0

0.0

0.0

0.0

28.4

0.0

0.0

0.0

0.0

0.0

0.0

28.4

0.0

0.0

0.0

0.0

0.0

0.0

7.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.233

8.211

8.211

3.446

90.0

90.0

90.0

DFT

23.574

7.838

7.838

3.837

90.0

90.0

90.0

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

1

2

3

4

5

6

106.7

13.5

18.3

0.0

0.0

-2.3

13.5

106.7

18.3

0.0

0.0

2.3

18.3

18.3

119.6

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

-2.3

2.3

0.0

0.0

0.0

-28.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.786

5.267

5.267

10.321

90.0

90.0

90.0

DFT

36.064

5.248

5.248

10.477

90.0

90.0

90.0

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

1

2

3

4

5

6

-85.4

105.2

-5.0

0.0

0.0

0.0

105.2

-85.5

-5.0

0.0

0.0

0.0

-5.0

-5.0

24.5

0.0

0.0

0.0

0.0

0.0

0.0

5.1

0.0

0.0

0.0

0.0

0.0

0.0

5.1

0.0

0.0

0.0

0.0

0.0

0.0

19.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.793

3.674

3.674

3.674

90.0

90.0

90.0

DFT

28.754

3.86

3.86

3.86

90.0

90.0

90.0

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

1

2

3

4

5

6

305.5

72.9

72.9

0.0

0.0

0.0

72.9

305.5

72.9

0.0

0.0

0.0

72.9

72.9

305.5

0.0

0.0

0.0

0.0

0.0

0.0

174.3

0.0

0.0

0.0

0.0

0.0

0.0

174.3

0.0

0.0

0.0

0.0

0.0

0.0

174.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.625

4.49

4.49

4.49

90.0

90.0

90.0

DFT

22.659

4.492

4.492

4.492

90.0

90.0

90.0

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

1

2

3

4

5

6

145.5

29.4

29.4

0.0

0.0

0.0

29.4

145.5

29.4

0.0

0.0

0.0

29.4

29.4

145.5

0.0

0.0

0.0

0.0

0.0

0.0

47.1

0.0

0.0

0.0

0.0

0.0

0.0

47.1

0.0

0.0

0.0

0.0

0.0

0.0

47.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.633

3.273

3.272

13.802

90.0

90.0

90.0

DFT

27.044

4.858

4.858

6.877

90.0

90.0

90.0

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

1

2

3

4

5

6

718029098.6

626024136.3

17387198.8

76909297.1

159130494.7

-94045921.3

626024136.3

-40552039.1

260612365.8

133428206.4

154341446.3

15303886.8

17387198.8

260612365.8

29055275.7

53583392.2

29225862.7

-379153395.3

76909297.1

133428206.4

53583392.2

162676824.8

14448163.8

-580861165.9

159130494.7

154341446.3

29225862.7

14448163.8

-203783308.6

900743950.9

-94045921.3

15303886.8

-379153395.3

-580861165.9

900743950.9

-64389448.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.605

5.198

5.198

21.673

90.0

90.0

90.0

DFT

36.231

5.274

5.274

20.839

90.0

90.0

90.0

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

1

2

3

4

5

6

12.5

59.4

23.7

0.0

0.0

0.0

59.4

12.5

23.7

0.0

0.0

0.0

23.7

23.7

53.0

0.0

0.0

0.0

0.0

0.0

0.0

5.8

0.0

0.0

0.0

0.0

0.0

0.0

5.8

0.0

0.0

0.0

0.0

0.0

0.0

23.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.745

6.289

6.273

6.309

77.74

103.98

80.67

DFT

30.036

6.217

6.217

6.217

90.0

90.0

90.0

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

1

2

3

4

5

6

112.0

47.3

52.8

-4.2

3.9

-7.5

47.3

116.6

51.3

-10.3

-0.2

1.4

52.8

51.3

134.4

15.9

-12.1

-0.5

-4.2

-10.3

15.9

30.6

-1.0

6.4

3.9

-0.2

-12.1

-1.0

40.4

-0.1

-7.5

1.4

-0.5

6.4

-0.1

29.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

29.027

9.005

9.005

3.58

90.0

90.0

90.0

DFT

29.097

9.027

9.027

3.571

90.0

90.0

90.0

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

1

2

3

4

5

6

61604.6

20273.3

-6375.3

7627.1

0.0

7305.4

20273.3

-101920.8

6443.1

-7626.1

0.0

-7313.0

-6375.3

6443.1

31.4

0.0

0.0

0.0

7627.1

-7626.1

0.0

13.4

0.0

0.0

0.0

0.0

0.0

0.0

13.4

0.0

7305.4

-7313.0

0.0

0.0

0.0

14.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.003

6.636

6.636

5.036

90.0

90.0

120.0

DFT

24.009

6.601

6.601

5.089

90.0

90.0

120.0

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

1

2

3

4

5

6

70.2

42.7

6.4

0.0

0.0

0.0

42.7

70.2

6.4

0.0

0.0

0.0

6.4

6.4

136.5

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

7.3

0.0

0.0

0.0

0.0

0.0

0.0

13.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

34.207

5.116

14.438

8.336

90.0

90.0

90.0

DFT

34.351

4.967

14.697

8.471

90.0

90.0

90.0

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

1

2

3

4

5

6

71.4

15.0

15.0

0.0

0.0

0.0

15.0

66.8

17.1

0.0

0.0

0.0

15.0

17.1

66.8

0.0

0.0

0.0

0.0

0.0

0.0

24.9

0.0

0.0

0.0

0.0

0.0

0.0

37.4

0.0

0.0

0.0

0.0

0.0

0.0

37.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.182

5.183

5.183

8.083

90.0

90.0

90.0

DFT

35.798

5.166

5.166

8.048

90.0

90.0

90.0

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

1

2

3

4

5

6

53.4

-2.9

17.3

0.0

0.0

0.0

-2.9

53.4

17.3

0.0

0.0

0.0

17.3

17.3

69.9

0.0

0.0

0.0

0.0

0.0

0.0

28.9

0.0

0.0

0.0

0.0

0.0

0.0

28.9

0.0

0.0

0.0

0.0

0.0

0.0

16.5

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

40.729

8.551

8.551

5.146

90.0

90.0

120.0

DFT

35.412

7.538

7.538

5.757

90.0

90.0

120.0

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

1

2

3

4

5

6

20.7

3.6

9.1

0.0

0.0

0.0

3.6

20.7

9.1

0.0

0.0

0.0

9.1

9.1

49.8

0.0

0.0

0.0

0.0

0.0

0.0

24.5

0.0

0.0

0.0

0.0

0.0

0.0

24.5

0.0

0.0

0.0

0.0

0.0

0.0

8.6

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

35.617

7.479

7.479

11.765

90.0

90.0

120.0

DFT

35.503

7.43

7.43

11.883

90.0

90.0

120.0

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

1

2

3

4

5

6

19.4

18693.9

5.9

0.0

0.0

18680.4

18693.9

37401.8

-43106.6

0.0

-0.1

18680.2

5.9

-43106.6

40.1

0.0

0.0

-43116.7

0.0

0.0

0.0

4.3

0.0

0.1

0.0

-0.1

0.0

0.0

4.3

0.0

18680.4

18680.2

-43116.7

0.1

0.0

10.9

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

31.988

4.461

14.952

8.632

90.0

90.0

90.0

DFT

31.908

4.082

15.546

9.051

90.0

90.0

90.0

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

1

2

3

4

5

6

69.5

30.1

30.1

0.0

0.0

0.0

30.1

53.9

33.8

0.0

0.0

0.0

30.1

33.8

53.9

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

23.0

0.0

0.0

0.0

0.0

0.0

0.0

23.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

42.582

10.287

10.287

4.024

90.0

90.0

90.0

DFT

42.796

10.32

10.32

4.019

90.0

90.0

90.0

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

1

2

3

4

5

6

43.3

42.2

31.2

0.0

0.0

0.0

42.2

43.3

31.2

0.0

0.0

0.0

31.2

31.2

61.8

0.0

0.0

0.0

0.0

0.0

0.0

12.5

0.0

0.0

0.0

0.0

0.0

0.0

12.5

0.0

0.0

0.0

0.0

0.0

0.0

16.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.175

5.853

5.853

9.778

90.0

90.0

120.0

DFT

23.898

5.766

5.766

9.959

90.0

90.0

120.0

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

1

2

3

4

5

6

47.3

15.3

26.9

0.0

0.0

0.0

15.3

47.3

26.9

0.0

0.0

0.0

26.9

26.9

116.4

0.0

0.0

0.0

0.0

0.0

0.0

20.0

0.0

0.0

0.0

0.0

0.0

0.0

20.0

0.0

0.0

0.0

0.0

0.0

0.0

16.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.417

6.023

6.023

9.286

90.0

90.0

120.0

DFT

33.204

5.991

5.991

9.614

90.0

90.0

120.0

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

1

2

3

4

5

6

32.3

24.0

30.0

0.0

0.0

0.0

24.0

32.3

30.0

0.0

0.0

0.0

30.0

30.0

52.2

0.0

0.0

0.0

0.0

0.0

0.0

7.5

0.0

0.0

0.0

0.0

0.0

0.0

7.5

0.0

0.0

0.0

0.0

0.0

0.0

4.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.544

8.362

8.362

8.362

90.0

90.0

90.0

DFT

36.989

8.396

8.396

8.396

90.0

90.0

90.0

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

1

2

3

4

5

6

19.0

-0.9

-0.9

0.0

0.0

0.0

-0.9

19.0

-0.9

0.0

0.0

0.0

-0.9

-0.9

19.0

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

2.8

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

32.195

5.492

5.492

7.395

90.0

90.0

120.0

DFT

32.748

5.46

5.46

7.611

90.0

90.0

120.0

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

1

2

3

4

5

6

80.7

38.7

-1.2

0.0

0.0

0.0

38.7

80.7

-1.2

0.0

0.0

0.0

-1.2

-1.2

55.9

0.0

0.0

0.0

0.0

0.0

0.0

31.0

0.0

0.0

0.0

0.0

0.0

0.0

31.0

0.0

0.0

0.0

0.0

0.0

0.0

21.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

36.099

5.246

5.246

5.246

90.0

90.0

90.0

DFT

35.766

5.23

5.23

5.23

90.0

90.0

90.0

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

1

2

3

4

5

6

78.1

39.0

39.0

0.0

0.0

0.0

39.0

78.1

39.0

0.0

0.0

0.0

39.0

39.0

78.1

0.0

0.0

0.0

0.0

0.0

0.0

18.7

0.0

0.0

0.0

0.0

0.0

0.0

18.7

0.0

0.0

0.0

0.0

0.0

0.0

18.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

30.76

3.879

3.879

9.445

90.0

90.0

120.0

DFT

31.059

3.882

3.882

9.52

90.0

90.0

120.0

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

1

2

3

4

5

6

40.4

21.9

34.7

0.0

0.0

0.0

21.9

40.4

34.7

0.0

0.0

0.0

34.7

34.7

167.4

0.0

0.0

0.0

0.0

0.0

0.0

33.6

0.0

0.0

0.0

0.0

0.0

0.0

33.6

0.0

0.0

0.0

0.0

0.0

0.0

9.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

24.21

4.408

4.408

9.965

90.0

90.0

90.0

DFT

22.927

4.452

4.452

9.253

90.0

90.0

90.0

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

1

2

3

4

5

6

87.9

58.5

27.3

0.0

-74496.5

0.0

58.5

87.9

27.3

0.0

-74496.5

0.0

27.3

27.3

114.0

0.0

-115208.9

0.0

0.0

0.0

0.0

-44.8

-0.5

0.0

-74496.5

-74496.5

-115208.9

-0.5

-10.8

-1869.4

0.0

0.0

0.0

0.0

-1869.4

39.3

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

33.367

8.467

8.467

4.655

90.0

90.0

90.0

DFT

32.632

8.276

8.276

4.765

90.0

90.0

90.0

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

1

2

3

4

5

6

44.1

30.9

46.5

0.0

0.0

0.0

30.9

44.1

46.5

0.0

0.0

0.0

46.5

46.5

86.4

0.0

0.0

0.0

0.0

0.0

0.0

25.0

0.0

0.0

0.0

0.0

0.0

0.0

25.0

0.0

0.0

0.0

0.0

0.0

0.0

19.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

44.273

11.185

11.185

7.366

90.0

90.0

144.79

DFT

38.611

7.233

7.233

10.226

90.0

90.0

120.0

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

1

2

3

4

5

6

35.6

23.4

25.4

0.0

-10169.8

3.5

23.4

56.1

27.2

0.0

10171.5

3.7

25.4

27.2

102.9

0.0

0.5

0.7

0.0

0.0

0.0

-9240.7

5055.9

0.0

-10169.8

10171.5

0.5

5055.9

-1349.6

-14412.0

3.5

3.7

0.7

0.0

-14412.0

11.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

25.538

6.321

6.321

8.899

80.69

99.31

138.98

DFT

27.788

6.126

6.126

7.695

90.0

90.0

120.0

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

1

2

3

4

5

6

221.1

100.7

106.3

-16.8

23.7

20.1

100.7

226.7

67.6

3.7

11.2

-18.7

106.3

67.6

247.5

0.0

0.1

-16.8

-16.8

3.7

0.0

37.1

-10.1

-4.8

23.7

11.2

0.1

-10.1

60.4

-12.5

20.1

-18.7

-16.8

-4.8

-12.5

67.7

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

28.676

7.713

7.713

7.713

90.0

90.0

90.0

DFT

28.771

7.721

7.721

7.721

90.0

90.0

90.0

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

1

2

3

4

5

6

48.1

69.5

69.5

-90974.4

0.0

-15607.5

69.5

48.1

69.5

15607.5

0.0

-15602.5

69.5

69.5

48.1

15602.5

0.0

90974.4

-90974.4

15607.5

15602.5

-70904.1

0.0

0.0

0.0

0.0

0.0

0.0

-580294.6

0.0

-15607.5

-15602.5

90974.4

0.0

0.0

-70904.1

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

22.754

6.497

6.497

9.958

90.0

90.0

120.0

DFT

23.371

6.513

6.513

10.18

90.0

90.0

120.0

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

1

2

3

4

5

6

135.7

51.8

38.7

0.0

0.0

0.0

51.8

135.7

38.7

0.0

0.0

0.0

38.7

38.7

148.5

0.0

0.0

0.0

0.0

0.0

0.0

37.1

0.0

0.0

0.0

0.0

0.0

0.0

37.1

0.0

0.0

0.0

0.0

0.0

0.0

42.0

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.175

4.457

4.457

21.884

90.0

90.0

90.0

DFT

22.741

4.456

4.456

18.328

90.0

90.0

90.0

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

1

2

3

4

5

6

153.0

85.9

61.9

0.0

0.0

0.0

85.9

153.0

61.9

0.0

0.0

0.0

61.9

61.9

81.2

0.0

0.0

0.0

0.0

0.0

0.0

66.4

0.0

0.0

0.0

0.0

0.0

0.0

66.4

0.0

0.0

0.0

0.0

0.0

0.0

66.2

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

27.739

3.523

3.523

4.471

90.0

90.0

90.0

DFT

27.858

3.531

3.531

4.469

90.0

90.0

90.0

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

1

2

3

4

5

6

71.6

19.9

69.1

0.0

0.0

0.0

19.9

71.6

69.1

0.0

0.0

0.0

69.1

69.1

146.3

0.0

0.0

0.0

0.0

0.0

0.0

43.0

0.0

0.0

0.0

0.0

0.0

0.0

43.0

0.0

0.0

0.0

0.0

0.0

0.0

11.4

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

V (A^3/atom)

a (A)

b (A)

c (A)

alpha

beta

gamma

MLP

23.565

7.224

7.224

7.224

90.0

90.0

90.0

DFT

23.955

7.264

7.264

7.264

90.0

90.0

90.0

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

1

2

3

4

5

6

79.9

54.0

54.0

0.0

-42282.2

0.0

54.0

79.9

54.0

0.0

-107762.7

0.0

54.0

54.0

79.9

0.0

-18753.3

0.0

0.0

0.0

0.0

-215.6

0.0

0.0

-42282.2

-107762.7

-18753.3

0.0

-112.3

0.0

0.0

0.0

0.0

0.0

0.0

-215.3