No Access Submitted: 31 December 2014 Accepted: 17 February 2015 Published Online: 09 March 2015
J. Chem. Phys. 142, 104302 (2015); https://doi.org/10.1063/1.4913767
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  • Rui Sun
  • Giovanni Granucci
  • Amit K. Paul
  • Matthew Siebert
  • Hongliang J. Liang
  • Grace Cheong
  • William L. Hase
  • Maurizio Persico
Quantum mechanical (QM) + molecular mechanics (MM) models are developed to represent potential energy surfaces (PESs) for the HBr+ + CO2 → Br + HOCO+ reaction with HBr+ in the 2Π3/2 and 2Π1/2 spin-orbit states. The QM component is the spin-free PES and spin-orbit coupling for each state is represented by a MM-like analytic potential fit to spin-orbit electronic structure calculations. Coupled-cluster single double and perturbative triple excitation (CCSD(T)) calculations are performed to obtain “benchmark” reaction energies without spin-orbit coupling. With zero-point energies removed, the “experimental” reaction energy is 44 ± 5 meV for HBr+(2Π3/2) + CO2 → Br(2P3/2) + HOCO+, while the CCSD(T) value with spin-orbit effects included is 87 meV. Electronic structure calculations were performed to determine properties of the BrHOCO+ reaction intermediate and [HBr⋯OCO]+ van der Waals intermediate. The results of different electronic structure methods were compared with those obtained with CCSD(T), and UMP2/cc-pVTZ/PP was found to be a practical and accurate QM method to use in QM/MM direct dynamics simulations. The spin-orbit coupling calculations show that the spin-free QM PES gives a quite good representation of the shape of the PES originated by 2Π3/2HBr+. This is also the case for the reactant region of the PES for 2Π1/2 HBr+, but spin-orbit coupling effects are important for the exit-channel region of this PES. A MM model was developed to represent these effects, which were combined with the spin-free QM PES.
The calculations reported here are also based upon work supported by the National Science Foundation under the Partnership in International Research and Education (PIRE) Grant No. OISE-0730114, and the Robert A. Welch Foundation under Grant No. D-0005. Support was also provided by the High-Performance Computing Center (HPCC) at Texas Tech University, under the direction of Philip W. Smith. The authors thank Karl-Michael Weitzel and Lisa Paetow for very helpful suggestions.
  1. 1. A. A. Viggiano and R. A. Morris, J. Phys. Chem. 100, 19227 (1996). https://doi.org/10.1021/jp962084x, Google ScholarCrossref, ISI
  2. 2. S. L. Anderson, Adv. Chem. Phys. 82, 177 (1992). https://doi.org/10.1063/1.448262, Google ScholarScitation
  3. 3. J. Liu and S. L. Anderson, Int. J. Mass Spectrom. 241, 173 (2005). https://doi.org/10.1016/j.ijms.2004.12.010, Google ScholarCrossref
  4. 4. J. Liu, B. W. Uselman, J. M. Boyle, and S. L. Anderson, J. Chem. Phys. 125, 133115 (2006). https://doi.org/10.1063/1.2229207, Google ScholarScitation, ISI
  5. 5. J. M. Boyle, D. M. Bell, and S. L. Anderson, J. Chem. Phys. 134, 034313 (2011). https://doi.org/10.1063/1.3517499, Google ScholarScitation
  6. 6. L. Paetow, F. Unger, W. Beichel, G. Frenking, and K.-M. Weitzel, J. Chem. Phys. 132, 174305 (2010). https://doi.org/10.1063/1.3409734, Google ScholarScitation
  7. 7. L. Paetow, F. Unger, B. Beutel, and K.-M. Weitzel, J. Chem. Phys. 133, 234301 (2010). https://doi.org/10.1063/1.3515300, Google ScholarScitation
  8. 8. L. Paetow and K.-M. Weitzel, private communication (2011). Google Scholar
  9. 9. P. J. Dagdigian and M. L. Campbell, Chem. Rev. 87, 1 (1987). https://doi.org/10.1021/cr00077a001, Google ScholarCrossref
  10. 10. S. G. Lias, J. E. Bartmess, J. F. Liebman, J. L. Holmes, R. D. Levin, and W. G. Mallard, J. Phys. Chem. Ref. Data 17, 1 (1988). https://doi.org/10.1063/1.555719, Google ScholarScitation
  11. 11. P. J. Linstrom and M. G. Wallard, NIST Chemistry Webbook, NIST Standard Reference Database Number Vol. 69 (National Institute of Standards and Technology, Gaithersburg, MD, 2009). Google Scholar
  12. 12. K. P. Huber and G. Herzberg, Molecular Spectra and Molecular Structure: IV. Constants of Diatomic Molecules (Van Nostrand Reinhold Company, New York, 1979). Google ScholarCrossref
  13. 13. J. Liu, K. Song, W. L. Hase, and S. L. Anderson, J. Am. Chem. Soc. 126, 8602 (2004). https://doi.org/10.1021/ja048635b, Google ScholarCrossref
  14. 14. J. Liu, K. Song, W. L. Hase, and S. L. Anderson, J. Phys. Chem. A 109, 11376 (2005). https://doi.org/10.1021/jp052615u, Google ScholarCrossref
  15. 15. J. Liu and S. L. Anderson, Phys. Chem. Chem. Phys. 11, 8721 (2009). https://doi.org/10.1039/b908328f, Google ScholarCrossref
  16. 16. J. M. Boyle, J. Liu, and S. L. Anderson, J. Phys. Chem. A 113, 3911 (2009). https://doi.org/10.1021/jp8101404, Google ScholarCrossref
  17. 17. J. Liu, K. Song, W. L. Hase, and S. L. Anderson, J. Chem. Phys. 119, 2040 (2003). https://doi.org/10.1063/1.1588634, Google ScholarScitation
  18. 18. L. Sun and W. L. Hase, Rev. Comput. Chem. 19, 79 (2003). https://doi.org/10.1002/0471466638.ch3, Google ScholarCrossref, ISI
  19. 19. G. Granucci and M. Persico, J. Comput. Chem. 32, 2690 (2011). https://doi.org/10.1002/jcc.21850, Google ScholarCrossref
  20. 20. G. Granucci and M. Persico, Theor. Chem. Acc. 133, 1526 (2014). https://doi.org/10.1007/s00214-014-1526-1, Google ScholarCrossref
  21. 21. M. J. Haugh, B. S. Schneider, and A. L. Smith, J. Mol. Spectrosc. 51, 123 (1974). https://doi.org/10.1016/0022-2852(74)90175-1, Google ScholarCrossref
  22. 22. M. Valiev, E. J. Bylaska, N. Govind, K. Kowalski, T. P. Straatsma, H. J. J. van Dam, D. Wang, J. Nieplocha, E. Apra, T. L. Windus, and W. A. de Jong, Comput. Phys. Commun. 181, 1477 (2010). https://doi.org/10.1016/j.cpc.2010.04.018, Google ScholarCrossref, ISI
  23. 23. K. Raghavachari, G. W. Trucks, J. A. Pople, and M. Head-Gordon, Chem. Phys. Lett. 157, 479 (1989). https://doi.org/10.1016/S0009-2614(89)87395-6, Google ScholarCrossref, ISI
  24. 24. A. Szalbo and N. S. Ostlund, Modern Quantum Chemistry, Introduction to Advanced Electronic Structure Theory (Dover, New York, 1996). Google Scholar
  25. 25. K. A. Peterson, J. Chem. Phys. 119, 11099 (2003). https://doi.org/10.1063/1.1622923, Google ScholarScitation, ISI
  26. 26. K. A. Peterson, D. E. Woon, and T. H. Dunning, Jr., J. Chem. Phys. 100, 7410 (1994). https://doi.org/10.1063/1.466884, Google ScholarScitation, ISI
  27. 27. H. Hellmann, J. Chem. Phys. 3, 61 (1935). https://doi.org/10.1063/1.1749559, Google ScholarScitation
  28. 28. P. Gombas, Z. Phys. 94, 473 (1935). https://doi.org/10.1007/BF01330613, Google ScholarCrossref
  29. 29. M. Krauss and W. J. Stevens, Annu. Rev. Phys. Chem. 35, 357 (1984). https://doi.org/10.1146/annurev.pc.35.100184.002041, Google ScholarCrossref
  30. 30. W. C. Ermler, R. B. Ross, and P. A. Christiansen, Adv. Quantum Chem. 19, 139 (1988). https://doi.org/10.1016/s0065-3276(08)60615-2, Google ScholarCrossref
  31. 31. M. Dolg and X. Cao, Chem. Rev. 112, 403 (2012). https://doi.org/10.1021/cr2001383, Google ScholarCrossref
  32. 32. D. Feller, J. Comput. Chem. 17, 1571 (1996). https://doi.org/10.1002/(sici)1096-987x(199610)17:13¡1571::aid-jcc9¿3.0.co2-p, Google ScholarCrossref
  33. 33. K. L. Schuchardt, B. T. Didier, T. Elsethagen, L. Sun, V. Gurumoorthi, J. Chase, J. Li, and T. L. Windus, J. Chem. Inf. Model. 47, 1045 (2007). https://doi.org/10.1021/ci600510j, Google ScholarCrossref, ISI
  34. 34. A. D. Becke, J. Chem. Phys. 98, 5648 (1993). https://doi.org/10.1063/1.464913, Google ScholarScitation, ISI
  35. 35. C. Adamo and V. J. Barone, Chem. Phys. 110, 6158 (1999). https://doi.org/10.1063/1.478522, Google ScholarScitation
  36. 36. H. L. Schmider and A. D. Becke, J. Chem. Phys. 108, 9624 (1998). https://doi.org/10.1063/1.476438, Google ScholarScitation, ISI
  37. 37. C. M. Aikens, S. P. Webb, R. L. Bell, G. D. Fletcher, M. W. Schmidt, and M. S. Gordon, Theor. Chem. Acc. 110, 233 (2003). https://doi.org/10.1007/s00214-003-0453-3, Google ScholarCrossref, ISI
  38. 38. B. Ruscic, R. E. Pinzon, M. L. Morton, G. von Laszewski, S. Bittner, S. G. Nijsure, K. A. Amin, M. Minkoff, and A. F. Wagner, J. Phys. Chem. A 108, 9979 (2004). https://doi.org/10.1021/jp047912y, Google ScholarCrossref, ISI
  39. 39. E. B. Wilson, Jr., J. C. Decius, and P. C. Cross, Molecular Vibrations (Dover Publications, Inc., New York, 1955). Google Scholar
  40. 40. I. N. Levine, Molecular Spectroscopy (John Wiley & Sons, New York, 1975). Google Scholar
  41. 41. See http://webbook.nist.gov/chemistry/ for The National Institute of Standards and Technology. Google Scholar
  42. 42. R. S. Grev, C. L. Janssen, and H. F. Schaefer, J. Chem. Phys. 95, 5125 (1991). https://doi.org/10.1063/1.461680, Google ScholarScitation
  43. 43. M. L. Laury, S. E. Boesch, I. Haken, P. Sinha, R. A. Wheeler, and A. K. Wilson, J. Comput. Chem. 32, 2340 (2011). https://doi.org/10.1002/jcc.21811, Google ScholarCrossref
  44. 44. P. Sinha, S. E. Boesch, C. Gu, R. A. Wheeler, and A. K. Wilson, J. Phys. Chem. A 108, 9213 (2004). https://doi.org/10.1021/jp048233q, Google ScholarCrossref
  45. 45. J. P. Merrick, D. Moran, and L. Radom, J. Phys. Chem. A 111, 11683 (2007). https://doi.org/10.1021/jp073974n, Google ScholarCrossref, ISI
  46. 46. A. P. Scott and L. Radom, J. Phys. Chem. 100, 16502 (1996). https://doi.org/10.1021/jp960976r, Google ScholarCrossref, ISI
  47. 47. A. Kramida, Y. Ralchenko, J. Reader, and NIST ASD Team, NIST Atomic Spectra Database, version 5.2, National Institute of Standards and Technology, Gaithersburg, MD, 2012; available online at http://physics.nist.gov/asd. Google Scholar
  48. 48. H.-J. Werner, P. J. Knowles, G. Knizia, F. R. Manby, and M. Schutz, WIREs: Comput. Mol. Sci. 2, 242 (2012). https://doi.org/10.1002/wcms.82, Google ScholarCrossref
  49. 49. N. Yamamoto, T. Vreven, M. A. Robb, M. J. Frisch, and H. B. Schlegel, Chem. Phys. Lett. 250, 373 (1996). https://doi.org/10.1016/0009-2614(96)00027-9, Google ScholarCrossref
  50. 50. T. H. Dunning, Jr., J. Chem. Phys. 90, 1007 (1989). https://doi.org/10.1063/1.456153, Google ScholarScitation, ISI
  51. 51. O. Meroueh, Y. Wang, and W. L. Hase, J. Phys. Chem. A 106, 9983 (2002). https://doi.org/10.1021/jp020664q, Google ScholarCrossref, ISI
  52. 52. K. Park, B. Deb, K. Song, and W. L. Hase, J. Am. Soc. Mass Spectrom. 20, 939 (2009). https://doi.org/10.1016/j.jasms.2009.02.028, Google ScholarCrossref
  53. 53. G. L. Barnes and W. L. Hase, J. Am. Chem. Soc. 131, 17185 (2009). https://doi.org/10.1021/ja904925p, Google ScholarCrossref
  54. 54. K. A. Peterson, D. Figgen, E. Goll, H. Stoll, and M. Dolg, J. Chem. Phys. 119, 11113 (2003). https://doi.org/10.1063/1.1622924, Google ScholarScitation, ISI
  55. 55. J. M. L. Martin and A. Sundermann, J. Chem. Phys. 114, 3408 (2001). https://doi.org/10.1063/1.1337864, Google ScholarScitation, ISI
  56. 56. A. Halkier, T. Helgaker, P. Jorgensen, W. Klopper, H. Kock, J. Olsen, and A. K. Wilson, Chem. Phys. Lett. 286, 243 (1998). https://doi.org/10.1016/S0009-2614(98)00111-0, Google ScholarCrossref, ISI
  57. 57. A. J. C. Varandas, J. Chem. Phys. 113, 8880 (2000). https://doi.org/10.1063/1.1319644, Google ScholarScitation, ISI
  58. 58. See supplementary material at http://dx.doi.org/10.1063/1.4913767 for more information about spin-orbit coupling energy calculation. Google Scholar
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