Mean Errors (kcal/mol) for the NHTBH38/04 and HTBH38/04 Databases.

 

Methods

Non-Hydrogen Transfer (38)

 

Hydrogen Transfer (38)

 

Total (76)

 

Weighted Average

MSE

MUE

 

MSE

MUE

 

MSE

MUE

 

MSE

MUE

Pure DFT or Meta DFT

 

VSXC

-4.82

5.21

 

-4.86

4.87

 

-4.84

5.04

 

-4.63

5.00

mPWKCIS

-7.82

7.92

 

-7.47

7.47

 

-7.65

7.70

 

-7.61

7.71

TPSSKCIS

-8.11

8.22

 

-7.01

7.01

 

-7.56

7.62

 

-7.65

7.75

BB95

-7.91

7.95

 

-8.14

8.14

 

-8.02

8.05

 

-7.90

7.94

mPWPW91

-8.29

8.41

 

-8.43

8.43

 

-8.36

8.42

 

-8.16

8.27

BLYP

-9.06

9.09

 

-7.52

7.52

 

-8.29

8.31

 

-8.49

8.52

TPSS

-8.90

8.95

 

-7.71

7.71

 

-8.31

8.33

 

-8.49

8.54

PBE

-8.43

8.53

 

-9.32

9.32

 

-8.87

8.92

 

-8.54

8.64

BP86

-8.71

8.83

 

-9.16

9.16

 

-8.93

8.99

 

-8.75

8.86

mPWLYP

-9.36

9.40

 

-8.56

8.56

 

-8.96

8.98

 

-9.03

9.06

LSDA

-12.35

12.55

 

-17.72

17.72

 

-15.04

15.13

 

-13.72

13.90

Hybrid DFT

 

 

 

 

MPW1K

0.46

1.77

 

-0.60

1.32

 

-0.07

1.55

 

0.16

1.73

BHandHLYP

0.62

2.07

 

0.95

2.73

 

0.79

2.40

 

0.68

2.28

B97-2

-1.43

2.23

 

-3.09

3.24

 

-2.26

2.74

 

-1.76

2.54

mPW1PW91

-2.75

3.23

 

-3.54

3.55

 

-3.15

3.39

 

-2.93

3.37

B98

-2.96

3.40

 

-4.16

4.16

 

-3.56

3.78

 

-3.15

3.57

B97-1

-3.05

3.47

 

-4.40

4.40

 

-3.72

3.93

 

-3.25

3.65

PBE1PBE

-3.03

3.52

 

-4.22

4.22

 

-3.63

3.87

 

-3.33

3.76

X3LYP

-4.27

4.44

 

-3.98

4.09

 

-4.12

4.26

 

-4.19

4.38

B3LYP

-4.42

4.58

 

-4.13

4.23

 

-4.28

4.40

 

-4.32

4.50

O3LYP

-1.78

5.07

 

-3.97

4.06

 

-2.88

4.57

 

-2.66

4.76

Hybrid Meta DFT

 

 

 

 

BB1K

0.44

1.42

 

-0.57

1.16

 

-0.06

1.29

 

0.13

1.37

MPWB1K

0.35

1.46

 

-0.85

1.29

 

-0.25

1.37

 

0.00

1.45

MPWKCIS1K

0.38

1.66

 

0.14

1.71

 

0.26

1.68

 

0.30

1.73

B1B95

-2.05

2.27

 

-2.80

2.80

 

-2.42

2.53

 

-2.27

2.45

MPW1B95

-1.94

2.31

 

-3.02

3.02

 

-2.48

2.66

 

-2.24

2.54

MPW1KCIS

-4.54

4.74

 

-4.39

4.41

 

-4.47

4.57

 

-4.45

4.64

TPSS1KCIS

-5.35

5.54

 

-4.69

4.69

 

-5.02

5.11

 

-5.06

5.24

TPSSh

-6.84

6.92

 

-5.97

5.97

 

-6.40

6.44

 

-6.55

6.62

Ab initio WFT

 

QCISD(T)

0.14

0.98

 

1.15

1.24

 

0.65

1.11

 

0.47

1.02

QCISD

1.89

1.92

 

2.73

2.81

 

2.31

2.36

 

2.11

2.16

MP4SDQ

4.12

4.14

 

3.89

3.89

 

4.01

4.02

 

4.25

4.26

MP2

5.27

5.46

 

3.69

4.14

 

4.48

4.80

 

5.23

5.52

MP3

5.96

5.96

 

4.44

4.44

 

5.20

5.20

 

5.70

5.70

HF

8.21

9.14

 

13.29

13.66

 

10.75

11.40

 

9.38

10.25

 

a This is calculated by using 1/4 times MSE (or MUE) for heavy-atom transfer reaction barrier heights plus 1/4 times MSE (or MUE) for SN2 reaction barrier heights plus 1/4 times MSE (or MUE) for unimolecular and association reaction barrier heights plus 1/4 times MSE (or MUE) for hydrogen transfer reaction barrier heights