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Table 2 Forward reaction rate coefficients for air (cm3mole-1sec-1)

From: A review of the mathematical modeling of equilibrium and nonequilibrium hypersonic flows

No

Reaction

Dunn-Kang [75]

Gupta [51]

Park1985 [76]

Park1987 [77]

Park1989 [78]

Park1991 [79]

Park1993 [16]

\(A_{f}\)

\(B_{f}\)

\(T_{a}\)

\(A_{f}\)

\(B_{f}\)

\(T_{a}\)

\(A_{f}\)

\(B_{f}\)

\(T_{a}\)

\(A_{f}\)

\(B_{f}\)

\(T_{a}\)

\(A_{f}\)

\(B_{f}\)

\(T_{a}\)

\(A_{f}\)

\(B_{f}\)

\(T_{a}\)

\(A_{f}\)

\(B_{f}\)

\(T_{a}\)

1

\(\text{O}_{2} + \text{N} \Leftrightarrow \text{O} + \text{O} + \text{N}\)  

3.60e18

-1.00

59500

3.61e18

-1.00

59400

8.25e19

-1.0

59500

2.90e23

-2.0

59750

1.00e22

-1.50

59500

1.00e22

-1.50

59500

1.00e22

-1.50

59500

2

\(\text{O}_{2} + \text{O} \Leftrightarrow \text{O} + \text{O} + \text{O}\)  

9.00e19

-1.00

59500

3.61e18

-1.00

59400

8.25e19

-1.0

59500

2.90e23

-2.0

59750

1.00e22

-1.50

59500

1.00e22

-1.50

59500

1.00e22

-1.50

59500

3

\(\text{O}_{2} + \text{O}_{2} \Leftrightarrow \text{O} + \text{O} + \text{O}_{2}\)  

3.24e19

-1.00

59500

3.61e18

-1.00

59400

2.75e19

-1.0

59500

9.68e22

-2.0

59750

2.00e21

-1.50

59500

2.00e21

-1.50

59500

2.00e21

-1.50

59500

4

\(\text{O}_{2} + \text{N}_{2} \Leftrightarrow \text{O} + \text{O} + \text{N}_{2}\)  

7.20e18

-1.00

59500

3.61e18

-1.00

59400

2.75e19

-1.0

59500

9.68e22

-2.0

59750

2.00e21

-1.50

59500

2.00e21

-1.50

59500

2.00e21

-1.50

59500

5

\(\text{O}_{2} + \text{N}\text{O} \Leftrightarrow \text{O} + \text{O} + \text{N}\text{O}\)  

3.60e18

-1.00

59500

3.61e18

-1.00

59400

2.75e19

-1.0

59500

9.68e22

-2.0

59750

2.00e21

-1.50

59500

2.00e21

-1.50

59500

2.00e21

-1.50

59500

6

\(\text{O}_{2} + \text{N}^{ + } \Leftrightarrow \text{O} + \text{O} + \text{N}^{ + }\)  

      

8.25e19

-1.0

59500

      

1.00e22

-1.50

59500

1.00e22

-1.50

59500

7

\(\text{O}_{2} + \text{O}^{ + } \Leftrightarrow \text{O} + \text{O} + \text{O}^{ + }\)  

      

8.25e19

-1.0

59500

      

1.00e22

-1.50

59500

1.00e22

-1.50

59500

8

\(\text{O}_{2} + \text{N}_{2}^{ + } \Leftrightarrow \text{O} + \text{O} + \text{N}_{2}^{ + }\)  

      

2.75e19

-1.0

59500

      

2.00e21

-1.50

59500

2.00e21

-1.50

59500

9

\(\text{O}_{2} + \text{O}_{2}^{ + } \Leftrightarrow \text{O} + \text{O} + \text{O}_{2}^{ + }\)  

      

2.75e19

-1.0

59500

      

2.00e21

-1.50

59500

2.00e21

-1.50

59500

10

\(\text{O}_{2} + \text{N}\text{O}^{ + } \Leftrightarrow \text{O} + \text{O} + \text{N}\text{O}^{ + }\)  

      

2.75e19

-1.0

59500

      

2.00e21

-1.50

59500

2.00e21

-1.50

59500

11

\(\text{O}_{2} + \text{e}^{ - } \Leftrightarrow \text{O} + \text{O} + \text{e}^{ - }\)  

      

1.32e22

-1.0

59500

2.90e23

-2.0

59750

         

12

\(\text{N}_{2} + \text{N} \Leftrightarrow \text{N} + \text{N} + \text{N}\)  

4.09e22

-1.50

113000

4.15e22

-1.50

113100

1.10e22

-1.6

113200

1.60e22

-1.6

113200

3.00e22

-1.60

113200

3.00e22

-1.60

113200

3.00e22

-1.60

113200

13

\(\text{N}_{2} + \text{O} \Leftrightarrow \text{N} + \text{N} + \text{O}\)  

1.90e17

-0.50

113000

1.92e17

-0.50

113100

1.10e22

-1.6

113200

4.98e22

-1.6

113200

3.00e22

-1.60

113200

3.00e22

-1.60

113200

3.00e22

-1.60

113200

14

\(\text{N}_{2} + \text{O}_{2} \Leftrightarrow \text{N} + \text{N} + \text{O}_{2}\)  

1.90e17

-0.50

113000

1.92e17

-0.50

113100

3.70e21

-1.6

113200

3.70e21

-1.6

113200

7.00e21

-1.60

113200

7.00e21

-1.60

113200

7.00e21

-1.60

113200

15

\(\text{N}_{2} + \text{N}_{2} \Leftrightarrow \text{N} + \text{N} + \text{N}_{2}\)  

4.70e17

-0.50

113000

1.92e17

-0.50

113100

3.70e21

-1.6

113200

3.70e21

-1.6

113200

7.00e21

-1.60

113200

7.00e21

-1.60

113200

7.00e21

-1.60

113200

16

\(\text{N}_{2} + \text{N}\text{O} \Leftrightarrow \text{N} + \text{N} + \text{N}\text{O}\)  

1.90e17

-0.50

113000

1.92e17

-0.50

113100

3.70e21

-1.6

113200

4.98e21

-1.6

113200

7.00e21

-1.60

113200

7.00e21

-1.60

113200

7.00e21

-1.60

113200

17

\(\text{N}_{2} + \text{N}^{ + } \Leftrightarrow \text{N} + \text{N} + \text{N}^{ + }\)  

      

1.10e22

-1.6

113200

      

3.00e22

-1.60

113200

3.00e22

-1.60

113200

18

\(\text{N}_{2} + \text{O}^{ + } \Leftrightarrow \text{N} + \text{N} + \text{O}^{ + }\)  

      

1.10e22

-1.6

113200

      

3.00e22

-1.60

113200

3.00e22

-1.60

113200

19

\(\text{N}_{2} + \text{N}_{2}^{ + } \Leftrightarrow \text{N }+ \text{N} + \text{N}_{2}^{ + }\)  

      

3.70e21

-1.6

113200

      

7.00e21

-1.60

113200

7.00e21

-1.60

113200

20

\(\text{N}_{2} + \text{O}_{2}^{ + } \Leftrightarrow \text{N} + \text{N} + \text{O}_{2}^{ + }\)  

      

3.70e21

-1.6

113200

      

7.00e21

-1.60

113200

7.00e21

-1.60

113200

21

\(\text{N}_{2} + \text{N}\text{O}^{ + } \Leftrightarrow \text{N} + \text{N} + \text{N}\text{O}^{ + }\)  

      

3.70e21

-1.6

113200

      

7.00e21

-1.60

113200

7.00e21

-1.60

113200

21

\(\text{N}_{2} + \text{e}^{ - } \Leftrightarrow \text{N} + \text{N} + \text{e}^{ - }\)  

      

1.11e24

-1.6

113200

8.30e24

-1.6

113200

9.00e24

-1.6

113200

3.00e24

-1.60

113200

1.20e25

-1.60

113200

22

\(\text{N}\text{O} + \text{N} \Leftrightarrow \text{N} + \text{O} + \text{N}\)  

7.80e20

-1.50

75500

3.97e20

-1.50

75600

4.60e17

-0.5

75500

7.95e23

-2.0

75500

1.10e17

0.0

75500

1.10e17

0.0

75500

1.10e17

0.0

75500

23

\(\text{N}\text{O} + \text{O} \Leftrightarrow \text{N} + \text{O} + \text{O}\)  

7.80e20

-1.50

75500

3.97e20

-1.50

75600

4.60e17

-0.5

75500

7.95e23

-2.0

75500

1.10e17

0.0

75500

1.10e17

0.0

75500

1.10e17

0.0

75500

24

\(\text{N}\text{O} + \text{N}_{2} \Leftrightarrow \text{N} + \text{O} + \text{N}_{2}\)  

3.90e20

-1.50

75500

3.97e20

-1.50

75600

2.30e17

-0.5

75500

7.95e23

-2.0

75500

5.00e15

0.0

75500

5.00e15

0.0

75500

5.00e15

0.0

75500

25

\(\text{N}\text{O} + \text{O}_{2} \Leftrightarrow \text{N} + \text{O} + \text{O}_{2}\)  

3.90e20

-1.50

75500

3.97e20

-1.50

75600

2.30e17

-0.5

75500

7.95e23

-2.0

75500

5.00e15

0.0

75500

5.00e15

0.0

75500

5.00e15

0.0

75500

26

\(\text{N}\text{O} + \text{N}\text{O} \Leftrightarrow \text{N} + \text{O} + \text{N}\text{O}\)  

7.80e20

-1.50

75500

3.97e20

-1.50

75600

2.3e17

-0.5

75500

7.95e23

-2.0

75500

1.10e17

0.0

75500

1.10e17

0.0

75500

1.10e17

0.0

75500

27

\(\text{N}\text{O} + \text{N}^{ + } \Leftrightarrow \text{N} + \text{O} + \text{N}^{ + }\)  

      

4.60e17

-0.5

75500

      

1.10e17

0.0

75500

1.10e17

0.0

75500

28

\(\text{N}\text{O} + \text{O}^{ + } \Leftrightarrow \text{N} + \text{O} + \text{O}^{ + }\)  

      

4.60e17

-0.5

75500

      

1.10e17

0.0

75500

1.10e17

0.0

75500

29

\(\text{N}\text{O} + \text{N}_{2}^{ + } \Leftrightarrow \text{N} + \text{O} + \text{N}_{2}^{ + }\)  

      

2.30e17

-0.5

75500

      

5.00e15

0.0

75500

5.00e15

0.0

75500

30

\(\text{N}\text{O} + \text{O}_{2}^{ + } \Leftrightarrow \text{N} + \text{O} + \text{O}_{2}^{ + }\)  

      

2.30e17

-0.5

75500

      

5.00e15

0.0

75500

5.00e15

0.0

75500

31

\(\text{N}\text{O} + \text{N}\text{O}^{ + } \Leftrightarrow \text{N} + \text{O} + \text{N}\text{O}^{ + }\)  

      

2.30e17

-0.5

75500

      

5.00e15

0.0

75500

5.00e15

0.0

75500

32

\(\text{N}\text{O} + \text{e}^{ - } \Leftrightarrow \text{N} + \text{O} + \text{e}^{ - }\)  

      

7.36e19

-0.5

75500

7.95e23

-2.0

75500

         

33

\(\text{N}\text{O} + \text{O} \Leftrightarrow \text{N} + \text{O}_{2}\)  

3.20e9

1.00

19700

3.18e9

1.00

19700

2.16e8

1.29

19220

8.37e12

0

19450

8.40e12

0.0

19450

8.40e12

0.00

19450

8.40e12

0.0

19450

34

\(\text{N}_{2} + \text{O} \Leftrightarrow \text{N}\text{O} + \text{N}\)  

7.00e13

0.00

38000

6.75e13

0.00

37500

3.18e13

0.1

37700

6.44e17

-1.0

38370

6.40e17

-1.0

38370

6.40e17

-1.00

38400

6.40e17

-1.0

38400

35

\(\text{N} + \text{O} \Leftrightarrow \text{N}\text{O}^{ + } + \text{e}^{ - }\)  

(1.4 \(\pm\) 0.4)e6

1.50

31900

9.03e9

0.50

32400

1.53e11

-0.37

32000

1.53e9

0.37

32000

5.30e12

0.0

32000

8.80e8

1.00

31900

8.80e8

1.0

31900

36

\(\text{N} + \text{N} \Leftrightarrow \text{N}_{2}^{ + } + \text{e}^{ - }\)  

(1.4 \(\pm\) 0.3)e13

0.00

67800

(1.4 \(\pm\) 0.3)e13

0.00

67800

1.79e11

0.77

67500

1.79e9

0.77

67500

2.00e13

0.0

67500

4.40e7

1.50

67500

4.40e7

1.50

67500

37

\(\text{O} + \text{O} \Leftrightarrow \text{O}_{2}^{ + } + \text{e}^{ - }\)  

(1.6 \(\pm\) 0.4)e17

-0.98

80800

(1.6 \(\pm\) 0.4)e17

-0.98

80800

3.85e11

0.49

80600

3.85e9

0.49

80600

1.10e13

0.0

80600

7.10e2

2.70

80600

7.10e2

2.70

80600

38

\(\text{O}_{2} + \text{N}_{2} \Leftrightarrow \text{N}\text{O} + \text{N}\text{O}^{ + } + \text{e}^{ - }\)  

1.38e20

-1.84

141000

1.38e20

-1.84

141000

               

39

\(\text{N}\text{O} + \text{N}_{2} \Leftrightarrow \text{N}\text{O}^{ + } + \text{e}^{ - } + \text{N}_{2}\)  

2.20e15

-0.35

108000

2.20e15

-0.35

108000

               

40

\(\text{N}\text{O} + \text{O}_{2} \Leftrightarrow \text{N}\text{O}^{ + } + \text{e}^{ - } + \text{O}_{2}\)  

8.80e15

-0.35

108000

2.20e15

-0.35

108000

               

41

\(\text{O} + \text{N}\text{O}^{ + } \Leftrightarrow \text{O}_{2} + \text{N}^{ + }\)  

1.34e13

0.31

77270

1.34e13

0.31

77270

      

1.00e12

0.50

77200

1.00e12

0.50

77200

1.00e12

0.50

77200

42

\(\text{N}_{2} + \text{N}^{ + } \Leftrightarrow \text{N} + \text{N}_{2}^{ + }\)  

2.02e11

0.81

13000

2.02e11

0.81

13000

9.85e12

-0.18

12100

9.85e12

-0.18

12100

   

1.00e12

0.50

12200

1.00e12

0.50

12200

43

\(\text{N} + \text{O}_{2}^{ + } \Leftrightarrow \text{O}_{2} + \text{N}^{ + }\)  

            

8.70e13

0.14

28600

8.70e13

0.14

28600

8.70e13

0.14

28600

44

\(\text{N}\text{O} + \text{O}^{ + } \Leftrightarrow \text{O}_{2} + \text{N}^{ + }\)  

            

1.40e5

1.9

26600

1.40e5

1.9

26600

1.40e5

1.9

26600

45

\(\text{N}_{2} + \text{O}_{2}^{ + } \Leftrightarrow \text{O}_{2} + \text{N}_{2}^{ + }\)  

            

9.90e12

0.00

40700

9.90e12

0.00

40700

9.90e12

0.00

40700

46

\(\text{O} + \text{O}_{2}^{ + } \Leftrightarrow \text{O}_{2} + \text{O}^{ + }\)  

2.92e18

-1.11

28000

2.92e18

-1.11

28000

6.85e13

-0.52

18600

6.85e13

-0.52

18600

4.00e12

-0.09

18600

4.00e12

-0.09

18000

4.00e12

-0.09

18000

47

\(\text{N} + \text{N}\text{O}^{ + } \Leftrightarrow \text{N}_{2} + \text{O}^{ + }\)  

            

3.40e13

-1.08

12800

3.40e13

-1.08

12800

3.40e13

-1.08

12800

48

\(\text{N} + \text{N}\text{O}^{ + } \Leftrightarrow \text{N}\text{O} + \text{N}^{ + }\)  

1.00e19

-0.93

61000

1.00e19

-0.93

61000

2.21e15

-0.02

61100

            

49

\(\text{N} + \text{N}\text{O}^{ + } \Leftrightarrow \text{O} + \text{N}_{2}^{ + }\)  

      

1.7e13

0.4

35500

1.7e13

0.4

35500

1.70e13

0.4

35500

7.20e13

0.00

35500

7.20e13

0.00

35500

50

\(\text{O}_{2} + \text{N}\text{O}^{ + } \Leftrightarrow \text{N}\text{O} + \text{O}_{2}^{ + }\)  

1.80e15

0.17

33000

1.80e15

0.17

33000

1.03e16

-0.17

32400

1.03e16

-0.17

32400

2.40e13

0.41

32400

2.40e13

0.41

32600

2.40e13

0.41

32600

51

\(\text{O} + \text{N}\text{O}^{ + } \Leftrightarrow \text{N}\text{O} + \text{O}^{ + }\)  

3.63e15

-0.60

50800

3.63e15

-0.60

50800

2.75e13

0.01

51000

2.75e13

0.01

51000

         

52

\(\text{O} + \text{N}\text{O}^{ + } \Leftrightarrow \text{N} + \text{O}_{2}^{ + }\)  

            

7.20e12

0.29

48600

7.20e12

0.29

48600

7.20e12

0.29

48600

53

\(\text{N} + \text{N}\text{O}^{ + } \Leftrightarrow \text{O} + \text{N}_{2}^{ + }\)  

            

7.20e13

0.00

35500

7.20e13

0.00

35500

7.20e13

0.00

35500

54

\(\text{N}_{2} + \text{O}^{ + } \Leftrightarrow \text{O} + \text{N}_{2}^{ + }\)  

3.40e19

-2.00

23000

3.40e19

-2.00

23000

6.33e13

-0.21

22200

6.33e13

-0.21

22200

9.10e11

0.36

22200

9.10e11

0.36

22800

9.10e11

0.36

22800

55

\(\text{O} + \text{e}^{ - } \Leftrightarrow \text{O}^{ + } + \text{e}^{ - } + \text{e}^{ - }\)  

(3.6 \(\pm\) 1.2)e31

-2.91

158000

(3.6 \(\pm\) 1.2)e31

-2.91

158000

3.9e33

-3.78

158500

3.9e33

-3.78

158500

3.90e33

-3.78

158500

3.90e33

-3.78

158500

3.90e33

-3.78

158500

56

\(\text{N} + \text{e}^{ - } \Leftrightarrow \text{N}^{ + } + \text{e}^{ - } + \text{e}^{ - }\)  

(1.1 \(\pm\) 0.4)e32

-3.14

169000

(1.1 \(\pm\) 0.4)e32

-3.14

169000

2.5e34

-3.82

168600

2.5e34

-3.82

168600

2.50e33

-3.82

168600

2.50e34

-3.82

168600

2.50e34

-3.82

168600