Table 3 The inverse screening parameters \({\mu }_{{{{\rm{u}}}}}^{{\alpha }_{s} = 0.25}\) and \({\mu }_{{{{\rm{u}}}}}^{{\alpha }_{s} = 1}\) (in bohr−1) and the corresponding band gaps (in eV)

From: Range-separated hybrid functionals for accurate prediction of band gaps of extended systems

 

\({\mu }_{{{{\rm{u}}}}}^{{\alpha }_{s} = 0.25}\)

Eg

\({\mu }_{{{{\rm{u}}}}}^{{\alpha }_{s} = 1}\)

Eg

Expt. + ZPR

sp materials

     

AlN

0.00

6.63

0.70

6.43

6.71

AlP

0.31

2.61

0.61

2.47

2.60

AlAs

0.35

2.35

0.60

2.19

2.31

Ar

0.74

14.71

1.38

14.44

14.33

BN

0.00

6.89

0.69

6.74

6.74

C(diamond)

0.06

6.00

0.65

5.64

5.85

CaO

1.88

6.78

0.74

6.99

7.43

LiCl

0.98

9.92

0.84

9.78

9.57

LiF

0.78

15.47

1.11

15.62

15.43

MgO

1.11

8.49

0.80

8.39

8.47

Si

0.41

1.25

0.57

1.12

1.22

SiC

0.24

2.69

0.62

2.41

2.59

NaCl

0.86

8.95

0.94

8.70

9.14

MAEsp

 

0.20

 

0.20

 

MAREsp

 

3.1%

 

3.9%

 

3d materials

     

Ge

0.44

0.73

0.55

0.72

0.78

GaN

0.07

3.79

0.65

3.61

3.73

GaP

0.38

2.53

0.58

2.33

2.41

GaAs

0.41

1.41

0.57

1.60

1.57

InP

0.40

1.58

0.58

1.65

1.47

ZnO

0.00

3.29

0.66

3.78

3.61

ZnS

0.10

3.91

0.64

4.10

3.95

ZnSe

0.27

2.69

0.62

2.80

2.88

TiO2

0.33

3.67

0.60

4.25

3.65

Cu2O

0.36

2.09

0.59

2.35

2.21

CdS

0.17

2.75

0.64

2.83

2.66

CdSe

0.35

1.88

0.59

2.14

1.88

γ-CsSnI3

0.29

1.49

0.61

1.70

1.53

MAEd

 

0.10

 

0.17

 

MAREd

 

4.4%

 

7.2%

 

MAE

 

0.15

 

0.18

 

MARE

 

3.8%

 

5.6%

 
  1. The mean absolute errors (MAE) and mean absolute relative errors (MARE) are calculated for the whole set, and for sp materials and d materials separately.