Citation: WANG Bi-Yao, TAN Ning-Xin, YAO Qian, LI Ze-Rong, LI Xiang-Yuan. Accurate Calculation of the Reaction Barriers and Rate Constants of the Pyrolysis of Alkyl Radicals in the β Position Using the Isodesmic Reaction Method[J]. Acta Physico-Chimica Sinica doi: 10.3866/PKU.WHXB201209053 shu

Accurate Calculation of the Reaction Barriers and Rate Constants of the Pyrolysis of Alkyl Radicals in the β Position Using the Isodesmic Reaction Method

1.
1 College of Chemistry, Sichuan University, Chengdu 610064, P. R. China;
2 College of Chemical Engineering, Sichuan University, Chengdu 610065, P. R. China

Received Date: 31 July 2012
Available Online: 5 September 2012
Fund Project: 国家自然科学基金(20973118, 91016002)资助项目 (20973118, 91016002)

The isodesmic reaction method is proposed for the accurate calculation of the reaction barriers and rate constants for an important class of reactions in the high-temperature combustion mechanism: the pyrolysis of alkyl radicals in the β position. The reaction barriers were calculated for a representative set of five reactions by two schemes: the first scheme is to calculate the reaction barriers directly from approximate ab initio calculations; and the second scheme is to correct the reaction barriers from the first scheme using the isodesmic reaction method. Ten different levels of ab initio calculations were used, and the absolute average maximum deviations of the reaction barriers by the isodesmic reaction method and direct ab initio calculations were 5.32 and 16.16 kJ·mol^-1, respectively, indicating that the isodesmic reaction method does not significantly depend on the level of ab initio theory used. The rate constants of the three representative reactions in the temperature range of 500-2000 K were calculated by the isodesmic reaction method. The average and maximum values of k_max/k_min between the calculated and experimental values were 1.67 and 2.49, respectively. Therefore, the isodesmic reaction method is efficient and reliable for the calculation of the reaction barriers and rate constants of reactions in a class at a modest level of ab initio theory.
- Reaction class isodesmic reaction method,
- Pyrolysis reaction of β alkyl,
- Reaction barrier,
- Rate constant
1. [1]
  
  (1) Lu, T. F.; Law, C. K. Combust. Flame 2006, 144, 24. doi: 10.1016/j.combustflame.2005.02.015
2. [2]
  (2) Pepiot-Desjardins, P.; Pitsch, H. Combust. Flame 2008, 154, 67.doi: 10.1016/j.combustflame.2007.10.020
3. [3]
  (3) Curran, H. J.; Gaffuri, P.; Pitz,W. J. Combust. Flame 1998, 114,149. doi: 10.1016/S0010-2180(97)00282-4
4. [4]
  (4) Curran, H. J.; Gaffuri, P.; Pitz,W. J. Combust. Flame 2002, 129,253. doi: 10.1016/S0010-2180(01)00373-X
5. [5]
  (5) Knyazev, V. D.; Bencsura, A.; Dubinsky, I. A.; Gutman, D.;Senkan, S. M. Proc. Combust. Inst. 1994, 25, 817.
6. [6]
  (6) Knyazev, V. D.; Dubinsky, I. A.; Slagle, I. R.; Gutman, D.J. Phys. Chem. 1994, 98, 5279. doi: 10.1021/j100071a018
7. [7]
  (7) Knyazev, V. D.; Dubinsky, I. A.; Slagle, I. R.; Gutman, D.J. Phys. Chem. 1994, 98, 11099. doi: 10.1021/j100094a018
8. [8]
  (8) Slagle, I. R.; Batt, L.; Gmurczyk, G.W.; Gutman, D.; Tsang,W.J. Phys. Chem. 1991, 95, 7732. doi: 10.1021/j100173a034
9. [9]
  (9) Bencsura, A.; Knyazev, V. D.; Xing, S. B.; Slagle, I. R.;Gutman, D. Proc. Combust. Inst. 1992, 24, 629.
10. [10]
  (10) Zheng, X. B.; Blowers, P. Ind. Eng. Chem. Res. 2006, 45, 530.doi: 10.1021/ie0508942
11. [11]
  (11) Truong, T. N. J. Chem. Phys. 2000, 113, 4959.
12. [12]
  (12) Huynh, L. K.; Ratkiewicz, A.; Truong, T. N. J. Phys. Chem. A2006, 110, 473. doi: 10.1021/jp051280d
13. [13]
  (13) Muszynska, M.; Ratkiewicz, A.; Huynh, L. K.; Truong, T. N.J. Phys. Chem. A 2009, 113, 8327. doi: 10.1021/jp903762x
14. [14]
  (14) Bankiewicz, B.; Huynh, L. K.; Ratkiewicz, A.; Truong, T. N. J. Phys. Chem. A 2009, 113, 1564. doi: 10.1021/jp808874j
15. [15]
  (15) Zhang, S.W.; Truong, T. N. J. Phys. Chem. A 2003, 107, 1138.doi: 10.1021/jp021265y
16. [16]
  (16) Kungwan, N.; Truong, T. N. J. Phys. Chem. A 2005, 109, 7742.doi: 10.1021/jp051799+
17. [17]
  (17) Huynh, L. K.; Truong, T. N. Theor. Chem. Acc. 2008, 120, 107.doi: 10.1007/s00214-007-0311-9
18. [18]
  (18) Hehre,W. J.; Ditchfield, R.; Radom, L.; Pople, J. A. J. Am. Chem. Soc. 1970, 92, 4796. doi: 10.1021/ja00719a006
19. [19]
  (19) Radom, L.; Hehre,W. J.; Pople, J. A. J. Am. Chem. Soc. 1971,93, 289. doi: 10.1021/ja00731a001
20. [20]
  (20) Wiberg, K. B.; Ochterski, J.W. J. Comput. Chem. 1997, 18, 108.
21. [21]
  (21) nzalez, C.; Schlegel, H. B. J. Phys. Chem. 1990, 94, 5523.doi: 10.1021/j100377a021
22. [22]
  (22) Truhlar, D. G. Chem. Phys. Lett. 1998, 294, 45. doi: 10.1016/S0009-2614(98)00866-5
23. [23]
  (23) Halkier, A.; Helgaker, T.; Jorgensen, P. J. Chem. Phys. Lett.1999, 302, 437. doi: 10.1016/S0009-2614(99)00179-7
24. [24]
  (24) De Lara-Castells, M. P.; Krems, R. V.; Buchachenko, A. A. J. Chem. Phys. 2001, 115, 10438. doi: 10.1063/1.1415078
25. [25]
  (25) Huh, S. B.; Lee, J. S. J. Chem. Phys. 2003, 118, 3035. doi: 10.1063/1.1534091
26. [26]
  (26) Hwang, R.; Park, Y. C.; Lee, J. S. Theor. Chem. Acc. 2006, 115,54. doi: 10.1007/s00214-005-0675-7
27. [27]
  (27) Frisch, M. J.; Trucks, G.W.; Schlegel, H. B.; et al. Gaussian 03,Revision B.01; Gaussian Inc.: Pittsburgh, PA, 2003.
28. [28]
  (28) Duncan,W. T.; Bell, R. L.; Truong, T. N. J. Comput. Chem.1998, 19, 1039.
29. [29]
  (29) Eckart, C. Phys. Rev. 1930, 35, 1303. doi: 10.1103/PhysRev.35.1303
30. [30]
  (30) Morganroth,W. E.; Calvert, J. G. J. Am. Chem. Soc. 1966, 88,5387. doi: 10.1021/ja00975a004
31. [31]
  (31) Knyazev, V. D.; Slagle, I. R. J. Phys. Chem. 1996, 100, 5318.doi: 10.1021/jp952229k
32. [32]
  (32) Kerr, J. A.; Trotman-Dickenson, A. F. J. Chem. Soc. 1960, 323,1602.
33. [33]
  (33) Gierczak, T.; Gawlowski, J.; Niedzielski, J. React. Kinet. Catal. Lett. 1988, 36, 434.
34. [34]
  (34) Tsang,W. J. Am. Chem. Soc. 1985, 107, 2872. doi: 10.1021/ja00296a007
35. [35]
  (35) Lin, M. C.; Laidler, K. J. Can. J. Chem. 1967, 45, 1315.
36. [36]
  (36) Gang, J.; Pilling, M. J.; Robertson, S. H. J. Chem. Soc. Faraday Trans. 1997, 93, 1481. doi: 10.1039/a607566e
37. [37]
  (37) Metcalfe, E. L.; Trotman-Dickenson, A. F. J. Chem. Soc. 1960,980, 5072.
38. [38]
  (38) Slater, D. H.; Collier, S. S.; Calvert, J. G. J. Am. Chem. Soc.1968, 90, 268. doi: 10.1021/ja01004a010
39. [39]
  (39) Douhou, S.; Perrin, D.; Martin, R. J. Chim. Phys. 1994, 91,1628.
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