There are four tables:

Table 1. Barrier Heights Calculated by LSDA, GGA, and Meta DFT Methods    

Table 2. Barrier Heights Calculated by Hybrid DFT Methods     

Table 3  Barrier Heights Calculated by Hybrid Meta DFT Methods     

Table 4. Barrier Heights Calculated by Ab Initio WFT Methods  

 

Table 1: Barrier Heights Calculated by LSDA, GGA and Meta DFT Methodsa,b

 

Reactions

 

VSXC

BB95

mPWPW91

TPSS

BLYP

SPW91

BP86

TPSSKCIS

PBE

mPWLYP

mPWKCIS

Heavy atom transfer reactions

 

 

 

 

 

 

H + N2O → OH + N2

Vf

16.02

11.65

10.77

8.41

8.94

3.16

8.10

10.97

10.46

8.13

10.39

Vr

71.18

55.36

55.34

60.37

61.78

32.20

55.87

60.62

52.64

59.91

59.30

H + FH → HF + H

Vf

36.75

29.71

28.57

27.33

26.77

19.40

26.00

29.15

27.98

25.94

28.59

Vr

36.75

29.71

28.57

27.33

26.77

19.40

26.00

29.15

27.98

25.94

28.59

H + ClH → HCl + H

Vf

17.40

12.25

10.92

8.21

10.57

3.02

8.41

11.59

10.45

10.01

11.38

Vr

17.40

12.25

10.92

8.21

10.57

3.02

8.41

11.59

10.45

10.01

11.38

H + FCH3 → HF + CH3

Vf

21.79

19.78

18.94

17.35

16.33

13.62

16.25

18.98

18.74

15.56

18.04

Vr

51.65

41.88

42.48

42.17

42.33

31.78

42.55

42.43

41.14

40.62

43.75

H + F2 → HF + F

Vf

-6.98

-8.87

-9.41

-10.72

-11.49

-15.75

-11.15

-9.10

-9.63

-12.30

-9.99

Vr

96.18

80.73

81.92

82.97

81.63

68.95

82.24

82.81

80.34

79.90

83.16

CH3 + FCl → CH3F +Cl

Vf

-6.99

-6.23

-5.68

-5.35

-6.94

-11.47

-5.87

-5.95

-6.42

-8.33

-5.85

Vr

45.59

41.23

43.44

43.93

42.80

36.87

43.05

43.36

42.71

41.52

43.44

Nucleophilic substitution reactions

F- + CH3F →  FCH3 + F-

Vf

-7.63

-6.76

-7.74

-8.93

-7.88

-12.17

-7.57

-8.74

-8.33

-9.48

-7.35

Vr

-7.63

-6.76

-7.74

-8.93

-7.88

-12.17

-7.57

-8.74

-8.33

-9.48

-7.35

F-∙∙∙CH3F →  FCH3 ∙∙∙ F-

Vf

12.00

6.94

6.53

5.74

6.11

6.28

6.34

5.95

6.66

5.88

6.74

Vr

12.00

6.94

6.53

5.74

6.11

6.28

6.34

5.95

6.66

5.88

6.74

Cl- + CH3Cl →  ClCH3 + Cl-

Vf

-4.09

-2.59

-3.37

-5.09

-3.88

-6.67

-3.62

-4.52

-3.74

-5.05

-3.18

Vr

-4.09

-2.59

-3.37

-5.09

-3.88

-6.67

-3.62

-4.52

-3.74

-5.05

-3.18

Cl-∙∙∙CH3Cl →  ClCH3∙∙∙Cl-

Vf

10.83

6.79

6.63

5.26

5.55

6.54

6.13

5.74

6.92

5.40

6.62

Vr

10.83

6.79

6.63

5.26

5.55

6.54

6.13

5.74

6.92

5.40

6.62

F- + CH3Cl →  FCH3 + Cl-

Vf

-20.29

-17.99

-22.65

-21.14

-24.24

-23.34

-19.17

-20.48

-19.52

-20.73

-18.63

Vr

12.96

13.38

8.95

13.44

7.97

9.81

13.17

13.17

12.10

11.55

13.00

F-∙∙∙CH3Cl →  FCH3∙∙∙Cl-

Vf

-4.35

-1.38

-0.23

-0.33

-4.27

-1.24

-1.63

-2.23

-0.98

-2.04

-1.21

Vr

26.59

21.17

17.25

21.99

15.80

21.19

21.14

21.74

21.04

20.42

21.20

OH- + CH3F →  HOCH3 + F-

Vf

-9.58

-8.91

-10.11

-10.84

-9.78

-14.47

-9.65

-10.69

-10.67

-11.41

-9.58

Vr

10.53

10.86

10.22

8.35

9.59

6.21

10.03

8.61

9.63

8.02

10.46

OH-∙∙∙CH3F →  HOCH3∙∙∙F-

Vf

10.19

3.79

3.17

2.78

3.20

3.05

3.22

3.01

3.37

2.97

3.56

Vr

39.20

40.93

42.39

40.02

39.80

47.14

42.02

40.00

42.72

39.72

41.32

Unimolecular and Association Reaction

H + N2 →  HN2

Vf

10.27

7.28

5.88

3.27

5.59

-1.85

3.43

6.34

5.57

5.04

6.08

Vr

11.88

8.64

9.36

8.51

8.58

9.53

9.47

9.15

9.23

8.64

9.37

H + CO  →  HCO

Vf

2.15

-0.49

-1.40

-4.98

-1.93

-7.56

-3.37

-1.49

-1.69

-2.39

-1.41

Vr

26.23

23.56

24.82

23.71

23.36

26.36

24.99

24.77

24.72

23.45

24.66

H + C2H4 → CH3CH2

Vf

2.66

0.87

0.19

-4.17

-0.61

-5.24

-1.89

-0.29

-0.04

-1.06

0.00

Vr

43.38

37.71

40.72

40.02

38.29

39.40

40.93

40.90

40.39

38.17

40.40

CH3 + C2H4 → CH3CH2CH2

Vf

3.96

3.00

2.69

3.31

4.75

-5.72

2.69

3.54

1.57

3.41

4.01

Vr

25.36

26.56

29.15

27.84

24.88

32.97

28.47

27.37

29.72

25.05

27.25

HCN →  HNC

Vf

47.52

45.67

46.33

47.65

47.04

45.16

45.83

47.72

45.95

47.00

46.95

Vr

33.30

30.77

31.33

32.31

32.10

31.08

31.14

32.17

30.97

32.12

31.78

aVf denotes forward barrier height, and Vr denotes reverse barrier height.

bMG3S basis set and QCISD/MG3 geometries are used for all calculations in this table.

 


Table 2: Barrier Heights Calculated by Hybrid DFT Methodsa,b

 

Reactions

 

MPW1K

B97-2

BHandHLYP

mPW1PW91

B98

B97-1

PBE1PBE

X3LYP

B3LYP

O3LYP

Heavy-atom transfer reactions

H + N2O → OH + N2

Vf

17.16

18.69

16.08

14.65

15.43

16.37

14.44

11.74

11.81

12.65

Vr

81.63

72.36

91.27

71.24

74.10

72.62

68.97

73.01

72.92

66.93

H + FH → HF + H

Vf

39.72

41.01

39.28

35.17

38.10

38.91

34.71

31.79

31.83

32.45

Vr

39.72

41.01

39.28

35.17

38.10

38.91

34.71

31.79

31.83

32.45

H + ClH → HCl + H

Vf