State-to-state time-dependent wavepacket approach to reactive scattering: State-resolved cross-sections for D+H2(v=1, j=1, m)→H+DH(v, [j with combining macron])

(Note: The full text of this document is currently only available in the PDF Version )

l Neuhauser, Richard S. Judson, Michael Baer and Donald J. Kouri


Abstract

In a recent letter (Science, 1992, 257, 522) the time-dependent wavepacket approach to reactive-scattering was utilized to extract state-to-state scattering cross-sections for D+H2(v, j)→H+DH([v with combining macron], ) at high energies. Results from 1.3 up to 2.25 eV total energy, with a fine enough grid to enable appropriate averages simulating the experimental conditions, are reported. We briefly review the formalism used for the simulations and explain how coordinate grid-reduction techniques concentrate the numerical effort in a small, strong interaction region, enabling calculations of state-resolved cross-sections for this demanding reaction. We then study the results in more detail by examining their variation with collision energy, final rotational state, and the individual initial H2 magnetic quantum number (measured along the incident linear momentum of the D atom relative to the H2 centre-of-mass).


References

  1. J. Z. H. Zhang and W. H. Miller, J. Chem. Phys., 1988, 88, 449.
  2. J. Z. H. Zhang, D. J. Kouri, K. Haug, D. W. Schwenke, Y. Shima and D. G. Truhlar, J. Chem. Phys., 1988, 88, 2492 CrossRef.
  3. N. C. Blais, M. Zhao, D. G. Truhlar, D. W. Schwenke and D. J. Kouri, Chem. Phys. Lett., 1990, 166, 11 CrossRef CAS; M. Zhao, D. G. Truhlar, D. W. Schwenke and D. J. Kouri, J. Phys. Chem., 1990, 94, 7074 CrossRef CAS.
  4. J. M. Launay, Theor. Chem. Acta, 1991, 79, 183 Search PubMed.
  5. Y. S. Wu, S. A. Cuccaro, P. G. Hipes and A. Kuppermann, Chem. Phys. Lett., 1990, 168, 429 CrossRef CAS.
  6. G. C. Schatz, J. Chem. Soc., Faraday Trans., 1990, 86, 1729 RSC.
  7. R. T. Pack and G. A. Parker, J. Chem. Phys., 1987, 87, 3888 CrossRef CAS.
  8. D. Manolopoulos and R. E. Wyatt, Chem. Phys. Lett., 1988, 152, 23 CrossRef CAS.
  9. M. Baer, J. Phys. Chem., 1987, 91, 5846 CrossRef CAS; J. Chem. Phys., 1989, 90, 3034 Search PubMed.
  10. D. Neuhauser, M. Baer, R. S. Judson and D. Kouri, J. Chem. Phys., 1989, 90, 5882 CrossRef CAS.
  11. D. Neuhauser, R. S. Judson, D. J. Kouri, D. E. Adelman, N. S. Schafer, D. A. Kliner and R. N. Zare, Science, 1992, 257, 522 CrossRef CAS.
  12. Y. Sun, R. C. Mowrey and D. J. Kouri, J. Chem. Phys., 1987, 87, 339 CrossRef CAS; Y. Sun, R. S. Judson and D. J. Kouri, 1989, 90, 241.
  13. D. Neuhauser, M. Baer, R. S. Judson and D. J. Kouri, J. Chem. Phys., 1990, 93, 312 CrossRef CAS.
  14. D. Neuhauser and M. Baer, J. Chem. Phys., 1989, 90, 4351 CrossRef.
  15. D. Neuhauser and M. Baer, J. Chem. Phys., 1989, 91, 4651 CrossRef CAS; J. Phys. Chem., 1990, 93, 2872 Search PubMed.
  16. D. Neuhauser, M. Baer, R. S. Judson and D. J. Kouri, J. Chem. Phys., 1990, 93, 312 CrossRef CAS.
  17. D. Neuhauser, M. Baer, R. S. Judson and D. J. Kouri, Comput. Phys. Commun., 1991, 63, 460 CrossRef CAS.
  18. D. Neuhauser, J. Chem. Phys., 1990, 93, 2611 CrossRef CAS.
  19. D. Neuhauser, J. Chem. Phys., 1990, 93, 7836 CrossRef CAS.
  20. D. Neuhauser, Chem. Phys. Lett., 1992, 200, 173 CrossRef CAS; 1993, 203, 444.
  21. D. Neuhauser, J. Chem. Phys., 1991, 95, 4927 CrossRef CAS.
  22. D. Neuhauser, R. S. Judson and A. Perski, Chem. Phys. Lett., 1991, 181, 151 CrossRef CAS.
  23. D. Neuhauser, M. Baer, R. S. Judson and D. J. Kouri, Chem. Phys. Lett., 1990, 169, 372 CrossRef CAS; D. Neuhauser, R. S. Judson, R. L. Jaffe, M. Baer and D. J. Kouri, Chem. Phys. Lett., 1991, 176, 546 CrossRef CAS.
  24. R. S. Judson, D. J. Kouri, D. Neuhauser and M. Baer, Phys. Rev. A, 1990, 42, 351 CrossRef CAS.
  25. D. H. Zhang and J. Z. H. Zhang, J. Chem. Phys., 1994, 101, 3671 CrossRef CAS.
  26. F. Gogtas, G. G. Balint-Kurti and A. R. Offer, J. Chem. Phys., 1996, 104, 7927 CrossRef CAS.
  27. D. H. Zhang and J. Z. H. Zhang, J. Chem. Phys., 1993, 99, 5615 CrossRef CAS; 1994, 101, 1146.
  28. D. Neuhauser, J. Chem. Phys., 1994, 100, 9272 CrossRef CAS.
  29. D. H. Zhang and J. C. Light, J. Chem. Phys., 1996, 104, 4544 CrossRef CAS.
  30. D. H. Zhang and J. Z. H. Zhang, J. Chem. Phys., 1994, 100, 2697 CrossRef CAS.
  31. R. Kosloff, J. Phys. Chem., 1988, 92, 2087 CrossRef CAS.
  32. K. C. Kulander and E. J. Heller, J. Chem. Phys., 1978, 69, 2439 CrossRef CAS.
  33. C. Leforestier, G. Bergeron and L. Hilberty, Chem. Phys. Lett., 1981, 84, 385 CrossRef CAS.
  34. R. C. Mowrey and D. J. Kouri, J. Chem. Phys., 1986, 84, 6466 CrossRef CAS.
  35. R. Heather and H. Metiu, J. Chem. Phys., 1987, 86, 5009 CrossRef CAS.
  36. O. A. Sharafedin, R. S. Judson, D. J. Kouri and D. K. Hoffman, J. Chem. Phys., 1990, 93, 5580 CrossRef.
  37. G. G. Balint-Kurti, R. N. Dixon and C. C. Marston, J. Chem. Soc., Faraday Trans., 1990, 86, 1741 RSC.
  38. C. Lancosz, J. Res. Natl. Bur. Stand., 1950, 45, 255 Search PubMed.
  39. R. A. Friesner, J. P. Brunet, R. E. Wyatt and C. Leforestier, Int. J. Supercomputer Appl., 1987, 1, 9 Search PubMed.
  40. J. C. Light, R. M. Whitnell, T. J. Park and S. E. Choi, in Supercomputer Algorithms for Reactivity, Dynamics and Kinetics of Small Molecules, ed. A. Lagana, NATO ASI Ser. C, 1989, 277, 187 Search PubMed.
  41. D. J. Kouri, Y. Huang, W. Zhu and D. K. Hoffman, J. Chem. Phys., 1994, 100, 3662 CrossRef CAS; D. K. Hoffman, Y. Huang, W. Zhu and D. J. Kouri, J. Chem. Phys., 1994, 101, 1242 CrossRef CAS.
  42. G. G. Balint-Kurti, R. N. Dixon and C. C. Marston, J. Chem. Soc., Faraday Trans., 1990, 86, 1741 RSC; S. K. Gray, in Time-Dependent Quantum Mechanical Dynamics, ed J. Broeckhove and L. Lathouwers, NATO ASI Ser. B, 1992, 299, 57 Search PubMed; R. Schinke, Photodissociation Dynamics and Fragmentation of Small Polyatomic Molecules, Cambridge University Press, Cambridge, 1993 Search PubMed; D. H. Zhang, J. Z. H. Zhang and Z. Bacic, J. Chem. Phys., 1992, 97, 927 Search PubMed; Chem. Phys. Lett., 1992, 194, 8111 Search PubMed; E. Goldfield, S. Gray and G. C. Schatz, J. Chem. Phys., 1995, 102, 8807 Search PubMed; H. Guo, J. Chem. Phys., 1992, 96, 6629 CrossRef CAS.
  43. B. Liu, J. Chem. Phys., 1973, 58, 1925 CrossRef CAS; B. Liu and P. Siegbahn, J. Chem. Phys., 1978, 68, 2457 CrossRef CAS; D. G. Truhlar and C. J. Horowitz, J. Chem. Phys., 1978, 68, 2466 CrossRef CAS; 1979, 71, 1514E.
  44. A. J. C. Varandas, F. B. Brown, C. A. Mead, D. G. Truhlar and N. C. Blais, J. Chem. Phys., 1987, 86, 6258 CrossRef CAS.
  45. D. A. V. Kliner and R. N. Zare, J. Chem. Phys., 1990, 92, 2107 CrossRef CAS; D. A. V. Kliner, D. E. Adelman and R. N. Zare, J. Chem. Phys., 1991, 95, 1648 CrossRef CAS.
  46. D. E. Adelman, N. E. Shafer, D. A. V. Kliner and R. N. Zare, J. Chem. Phys., 1992, 97, 7323 CrossRef CAS.
  47. A. Kuppermann and Y.-S. M. Wu, Chem. Phys. Lett., 1993, 205, 577 CrossRef CAS; 1993, 213, 636E.
  48. M. Baer, Chem. Phys., 1976, 15, 49 CrossRef CAS.
  49. D. J. Kouri, M. Arnold and D. K. Hoffman, Chem. Phys. Lett., 1993, 203, 166 CrossRef CAS; Y. Huang, W. Zhu, D. J. Kouri and D. K. Hoffman, Chem. Phys. Lett., 1993, 206, 96 CrossRef CAS.
  50. Y. Huang, W. Zhu, D. J. Kouri and D. K. Hoffman, J. Phys. Chem., 1994, 98, 1868 CrossRef CAS; D. J. Kouri, Y. Huang and D. K. Hoffman, Phys. Rev. Lett., 1995, 75, 49 CrossRef CAS; D. K. Hoffman, T. L. Marchioro, M. Arnold, Y. Huang, W. Zhu and D. J. Kouri, J. Math. Chem., in the press Search PubMed.
  51. A. M. Arthurs and A. Dalgarno, Proc. R. Soc. London, Ser. A, 1960, 256, 540 Search PubMed.
  52. E. F. Hayes, C. A. Wells and D. J. Kouri, Phys. Rev. A, 1971, 4, 1017 CrossRef; W. H. Miller, personal communication.
  53. M. Baer and D. J. Kouri, Mol. Phys., 1971, 22, 289 CAS.
  54. R. Schinke, J. Chem. Phys., 1980, 72, 1120 CrossRef CAS; R. Schinke and J. M. Bowman, in Molecular Collision Theory, ed. J. M. Bowman, Springer, Heidelberg, 1983, ch. 4 Search PubMed.
  55. J. Z. H. Zhang and T. Peng, J. Chem. Phys., 1996, 105, 4881 CrossRef CAS; W. Zhu, T. Peng and J. Z. H. Zhang, J. Chem. Phys., in the press Search PubMed.
  56. D. J. Kouri, D. K. Hoffman, T. Peng and J. Z. H. Zhang, Chem. Phys. Lett., 1996, 262, 1996 CrossRef CAS; S. Althorpe, D. J. Kouri, D. K. Hoffman and J. Z. H. Zhang, J. Chem. Soc., Faraday Trans., 1997, 93, 703 RSC.
Click here to see how this site uses Cookies. View our privacy policy here.