Table 3. Comparison of bandgaps obtained from OPT functional and MBJ potential schemes compared with experimental results and DFT data available in different databases.
Mats. | SG | ICSD# | MP# | JV# | MP | AFLOW | OQMD | OPT | MBJ | HSE06 | Exp. |
---|---|---|---|---|---|---|---|---|---|---|---|
Materials, space-group (SG), Inorganic Crystal Structure Database (ICSD#) id, Materials-Project (MP#) id, JARVIS-DFT id (JV#), bandgap from MP (MP), bandgap from AFLOW, bandgap from OQMD, our OptB88vdW bandgap (OPT), Tran-Blah modified Becke-Johnson potential bandgap (MBJ), Heyd-Scuseria-Ernzerhof (HSE06) and experimental bandgaps (eV) data are shown. Experimental data were obtained from 18,21,48,49. MAE denotes the mean absolute error, while SC is the Spearman’s coefficient. |
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C | Fd-3m | 28857 | 66 | 91 | 4.11 | 4.12 | 4.4 | 4.46 | 5.04 | 5.26 | 5.5 |
Si | Fd-3m | 29287 | 149 | 1002 | 0.61 | 0.61 | 0.8 | 0.73 | 1.28 | 1.22 | 1.17 |
Ge | Fd-3m | 41980 | 32 | 890 | 0.0 | 0 | 0.4 | 0.01 | 0.61 | 0.82 | 0.74 |
BN | P63/mmc | 167799 | 984 | 17 | 4.48 | 4.51 | 4.4 | 4.46 | 6.11 | 5.5 | 6.2 |
AlN | P63mc | 31169 | 661 | 39 | 4.06 | 4.06 | 4.5 | 4.47 | 5.20 | 5.49 | 6.19 |
AlN | F-43m | 67780 | 1700 | 7844 | 3.31 | 3.31 | - | 3.55 | 4.80 | 4.55 | 4.9 |
GaN | P63mc | 34476 | 804 | 30 | 1.74 | 1.91 | 2.1 | 1.94 | 3.08 | 3.15 | 3.5 |
GaN | F-43m | 157511 | 830 | 8169 | 1.57 | 1.75 | - | 1.79 | 2.9 | 2.85 | 3.28 |
InN | P63mc | 162684 | 22205 | 1180 | 0.0 | 0.0 | - | 0.23 | 0.76 | - | 0.72 |
BP | F-43m | 29050 | 1479 | 1312 | 1.24 | 1.25 | 1.4 | 1.51 | 1.91 | 1.98 | 2.1 |
GaP | F-43m | 41676 | 2490 | 1393 | 1.59 | 1.64 | 1.7 | 1.48 | 2.37 | 2.28 | 2.35 |
AlP | F-43m | 24490 | 1550 | 1327 | 1.63 | 1.63 | 1.7 | 1.79 | 2.56 | 2.30 | 2.50 |
InP | F-43m | 41443 | 20351 | 1183 | 0.47 | 0.58 | 0.7 | 0.89 | 1.39 | 1.43 | 1.42 |
AlSb | F-43m | 24804 | 2624 | 1408 | 1.23 | 1.23 | 1.4 | 1.32 | 1.77 | 1.80 | 1.69 |
InSb | F-43m | 24519 | 20012 | 1189 | 0.0 | 0.0 | 0.0 | 0.02 | 0.80 | 0.45 | 0.24 |
GaAs | F-43m | 41674 | 2534 | 1174 | 0.19 | 0.30 | 0.8 | 0.75 | 1.32 | 1.40 | 1.52 |
InAs | F-43m | 24518 | 20305 | 97 | 0.0 | 0.0 | 0.3 | 0.15 | 0.40 | 0.45 | 0.42 |
BAs | F-43m | 43871 | 10044 | 7630 | 1.2 | 1.2 | 1.4 | 1.42 | 1.93 | 1.86 | 1.46 |
MoS2 | P63/mmc | 24000 | 2815 | 54 | 1.23 | 1.25 | 1.3 | 0.92 | 1.33 | 1.49 | 1.29 |
MoSe2 | P63/mmc | 49800 | 1634 | 57 | 1.42 | 1.03 | 1.0 | 0.91 | 1.32 | 1.40 | 1.11 |
WS2 | P63/mmc | 56014 | 224 | 72 | 1.56 | 1.29 | 1.4 | 0.72 | 1.51 | 1.6 | 1.38 |
WSe2 | P63/mmc | 40752 | 1821 | 75 | 1.45 | 1.22 | 1.2 | 1.05 | 1.44 | 1.52 | 1.23 |
Al2O3 | R-3c | 600672 | 1143 | 32 | 5.85 | 5.85 | 6.3 | 6.43 | 7.57 | 8.34 | 8.8 |
CdTe | F-43m | 31844 | 406 | 23 | 0.59 | 0.71 | 1.1 | 0.83 | 1.64 | 1.79 | 1.61 |
SnTe | Fm-3m | 52489 | 1883 | 7860 | 0.04 | 0.25 | 0.3 | 0.04 | 0.16 | 0.17 | 0.36 |
SnSe | Pnma | 60933 | 691 | 299 | 0.52 | - | 0.6 | 0.71 | 1.25 | 0.89 | 0.90 |
MgO | Fm-3m | 9863 | 1265 | 116 | 4.45 | 4.47 | 5.3 | 5.13 | 6.80 | 7.13 | 7.83 |
CaO | Fm-3m | 26959 | 2605 | 1405 | 3.63 | 3.64 | 3.8 | 3.74 | 5.29 | 5.35 | 7.0 |
CdS | P6_3mc | 31074 | 672 | 95 | 1.2 | 1.25 | 1.4 | 1.06 | 2.61 | - | 2.5 |
CdS | F-43m | 29278 | 2469 | 8003 | 1.05 | 1.19 | 1.4 | 0.99 | 2.52 | 2.14 | 2.50 |
CdSe | F-43m | 41528 | 2691 | 1192 | 0.51 | 0.64 | 1.0 | 0.79 | 1.84 | 1.52 | 1.85 |
MgS | F-43m | 159401 | 1315 | 1300 | 2.76 | 3.39 | 3.6 | 2.95 | 4.26 | 4.66 | 4.78 |
MgSe | Fm-3m | 53946 | 10760 | 7678 | 1.77 | 1.77 | 1.8 | 2.12 | 3.37 | 2.74 | 2.47 |
MgTe | F-43m | 159402 | 13033 | 7762 | 2.32 | 2.32 | 2.5 | 2.49 | 3.49 | 3.39 | 3.60 |
BaS | Fm-3m | 30240 | 1500 | 1315 | 2.15 | 2.15 | 2.4 | 2.15 | 3.23 | 3.11 | 3.88 |
BaSe | Fm-3m | 43655 | 1253 | 1294 | 1.95 | 1.95 | 2.9 | 1.97 | 2.85 | 2.79 | 3.58 |
BaTe | Fm-3m | 29152 | 1000 | 1267 | 1.59 | 1.59 | 1.7 | 1.61 | 2.15 | 2.31 | 3.08 |
TiO2 | P42/mnm | 9161 | 2657 | 5 | 1.78 | 2.26 | 1.8 | 1.77 | 2.07 | 3.34 | 3.30 |
TiO2 | I41/amd | 9852 | 390 | 104 | 2.05 | 2.53 | 2.0 | 2.02 | 2.47 | - | 3.4 |
Cu2O | Pn-3m | 26183 | 361 | 1216 | 0.5 | - | 0.8 | 0.13 | 0.49 | 1.98 | 2.17 |
CuAlO2 | R-3m | 25593 | 3748 | 1453 | 1.8 | 2.0 | 2.4 | 2.06 | 2.06 | - | 3.0 |
ZrO2 | P21/c | 15983 | 2858 | 113 | 3.47 | 3.56 | 4.0 | 3.62 | 4.21 | - | 5.5 |
HfO2 | P21/c | 27313 | 352 | 9147 | 4.02 | 4.02 | 4.5 | 4.12 | 5.66 | - | 5.7 |
CuCl | F-43m | 23988 | 22914 | 1201 | 0.56 | 1.28 | 0.8 | 0.45 | 1.59 | 2.37 | 3.4 |
SrTiO3 | Pm-3m | 23076 | 5229 | 8082 | 2.1 | 2.29 | 1.8 | 1.81 | 2.30 | - | 3.3 |
ZnS | F-43m | 41985 | 10695 | 1702 | 2.02 | 2.67 | 2.4 | 2.09 | 3.59 | 3.30 | 3.84 |
ZnSe | F-43m | 41527 | 1190 | 96 | 1.17 | 1.70 | 1.5 | 1.22 | 2.63 | 2.37 | 2.82 |
ZnTe | F-43m | 104196 | 2176 | 1198 | 1.08 | 1.48 | 1.5 | 1.07 | 2.23 | 2.25 | 2.39 |
SiC | F-43m | 28389 | 8062 | 8158 | 1.37 | 1.37 | 1.5 | 1.62 | 2.31 | - | 2.42 |
LiF | Fm-3m | 41409 | 1138 | 1130 | 8.72 | 8.75 | 11.0 | 9.48 | 11.2 | - | 14.2 |
KCl | Fm-3m | 18014 | 23193 | 1145 | 5.03 | 5.05 | 5.3 | 5.33 | 8.41 | 6.53 | 8.50 |
AgCl | Fm-3m | 56538 | 22922 | 1954 | 0.95 | 1.97 | 1.1 | 0.93 | 2.88 | 2.41 | 3.25 |
AgBr | Fm-3m | 52246 | 23231 | 8583 | 0.73 | 1.57 | 0.9 | 1.00 | 2.52 | 2.01 | 2.71 |
AgI | Fm-3m | 52361 | 22919 | 8566 | 0.77 | 1.98 | 1.4 | 0.39 | 2.08 | 2.48 | 2.91 |
MAE a | - | - | - | - | 1.45 | 1.23 | 1.14 | 1.33 | 0.51 | 0.41 | - |
MAE b | - | - | - | - | 1.39 | 1.19 | 1.09 | 1.27 | 0.43 | 0.42 | - |
S.C. | - | - | - | - | 0.81 | 0.94 | 0.88 | 0.84 | 0.94 | 0.97 | - |
aMAE calculated with respect to experiment using all available data for each method
bMAE calculated with respect to experiment using only data for materials that have results available in all three DFT methods.