Table 4 Comparison of errors between experimental and OQMD-predicted formation energies for a variety of material classes, under different sets of elemental chemical potentials

From: The Open Quantum Materials Database (OQMD): assessing the accuracy of DFT formation energies

Category

Δ H f EXP

Number of comps.

Fit-none

Fit-partial

Fit-all

   

Err

MAE

Err

MAE

Err

MAE

Magnetism

        

 Magnetic

−1.231

327

0.135

0.151

0.052

0.102

0.023

0.097

 Non-magnetic

−1.234

1343

0.098

0.132

0.011

0.093

−0.005

0.076

Bandgap

 Metallic (Eg=0)

−0.706

921

0.056

0.098

0.031

0.086

0.005

0.077

 Semi-conductor (0<Eg<2)

−1.104

249

0.137

0.155

0.017

0.115

0.007

0.093

 Wide bandgap (Eg>2)

−2.175

491

0.180

0.195

0.003

0.101

−0.006

0.083

Number of components

 Binary

−0.935

1376

0.089

0.124

0.025

0.097

0.002

0.082

 Ternary

−2.187

259

0.179

0.191

0.002

0.094

0.002

0.082

 Quaternary

−2.439

33

0.207

0.214

0.019

0.085

0.020

0.071

Bonding type

        

 I–VII (ionic)

−2.225

18

0.224

0.224

0.090

0.090

0.052

0.057

 III–V (covalent)

−0.577

15

0.144

0.146

0.095

0.123

0.056

0.090

 Intermetallic binary (metallic)

−0.434

278

0.006

0.071

−0.002

0.069

−0.013

0.069

Binary compounds that contain a/an: a

 Alkali metal

−1.047

87

0.120

0.126

0.052

0.081

0.017

0.056

 Alkali earth metal

−1.256

92

0.161

0.191

0.098

0.128

0.009

0.092

 Transition metal

−0.727

855

0.051

0.094

0.002

0.079

−0.006

0.074

f-block metal

−1.106

414

0.098

0.128

0.060

0.098

0.010

0.074

 Semi-metal b

−0.573

317

0.046

0.093

0.027

0.093

−0.009

0.082

 Post-transition metal c

−0.651

233

0.078

0.101

0.028

0.093

−0.005

0.075

 Halide

−1.717

258

0.199

0.214

0.015

0.135

0.014

0.122

Compounds w/o corrections d

−0.514

780

0.031

0.081

0.031

0.081

−0.009

0.066

Overall

−1.232

1670

0.105

0.136

0.020

0.096

0.002

0.081

  1. Abbreviations: comps, compounds; Err, average error; MAE, mean absolute error; OQMD, Open Quantum Materials Database; w/o, with out.
  2. The definitions of the different fits are given in the section ‘Formation Energy Calculation’. Average experimental formation energies (Δ H f EXP ), Err and MAE are given in eV/atom.
  3. aAt least one of the components in the binary compound belongs to a given subcategory of elements, and the second component can be any element.
  4. bWe take semimetal elements to be B, Si, Ge, As, Sb and Te.
  5. cWe take post-TM elements to be Al, Ga, In, Sn, Tl, Pb and Bi.
  6. dIncludes all compounds that do not contain any elements that require GGA+U or chemical-potential corrections.