Journal of Chemical Physics
The Journal of Chemical Physics
Search:
   
 
 
 
Previous Article
Simulation of the reactive scattering of F + D2 on a model family of potential energy surfaces with various topographies: The correlation approach
The connection between the salient features of the potential energy surface (PES) and the dynamical characteristics of the elementary collision process is studied using a correlation approach based on...
Next Article
The binding energies of the D2d and S4 water octamer isomers: High-level electronic structure and empirical potential results
The MP2 complete basis set (CBS) limit for the binding energy of the two low-lying water octamer isomers of D2d and S4 symmetry is estimated at –72.7±0.4 kcal/mol using the family of augment...

A different approach for calculating Franck–Condon factors including anharmonicity

J. Chem. Phys. 120, 813 (2004); doi:10.1063/1.1630566

Issue Date: 8 January 2004

You are not logged in to this journal. Log in

Josep M. Luis
Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106
Department of Chemistry, University of Ottawa, Ottawa, Canada K1N 6N5


David M. Bishop
Department of Chemistry, University of Ottawa, Ottawa, Canada K1N 6N5

Bernard Kirtman
Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106
An efficient new procedure for calculating Franck–Condon factors, based on the direct solution of an appropriate set of simultaneous equations, is presented. Both Duschinsky rotations and anharmonicity are included, the latter by means of second-order perturbation theory. The critical truncation of basis set is accomplished by a build-up procedure that simultaneously removes negligible vibrational states. A successful test is carried out on ClO2 for which there are experimental data and other theoretical calculations. ©2004 American Institute of Physics.
History: Received 6 August 2003; accepted 9 October 2003
Permalink: http://link.aip.org/link/?JCPSA6/120/813/1
BUY THIS ARTICLE   (US$24)
Download HTML Download Sectioned HTML Download PDF (146 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 33.70.Ca
    Molecular oscillator and band strengths, lifetimes, transition moments, and Franck–Condon factors
  • 33.20.Tp
    Vibrational analysis (molecular spectra)
  • YEAR: 2004

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (52)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. F.-T. Chau, J. M. Dyke, E. P.-F. Lee, and D.-C. Wang, J. Electron Spectrosc. Relat. Phenom. 97, 33 (1998).
  2. T. E. Sharp and H. M. Rosenstock, J. Chem. Phys. 41, 3453 (1964).
  3. E. Hutchisson, Phys. Rev. 36, 410 (1930).
  4. P. Chen, in Unimolecular and Bimolecular Reaction Dynamics, edited by C.-Y. Ng, T. Baer, and I. Powis (Wiley, Chichester, 1994), p. 371.
  5. K. M. Ervin, T. M. Ramond, G. E. Davico, R. L. Schwartz, S. M. Casey, and W. C. Lineberger, J. Phys. Chem. A 105, 10822 (2001).
  6. H. Kikuchi, M. Kubo, N. Watanabe, and H. Suzuki, J. Chem. Phys. 119, 729 (2003).
  7. P. T. Ruhoff, Chem. Phys. 186, 355 (1994).
  8. J. Lermé, Chem. Phys. 145, 67 (1990).
  9. R. Islampour, M. Dehestani, and S. H. Lin, J. Mol. Spectrosc. 194, 179 (1999).
  10. E. V. Doctorov, I. A. Malkin, and V. I. Man'ko, J. Mol. Spectrosc. 64, 302 (1977).
  11. P. R. Callis, J. T. Vivian, and L. S. Slater, Chem. Phys. Lett. 244, 53 (1995).
  12. S. Schumm, M. Gerhards, and K. Kleinermanns, J. Phys. Chem. A 104, 10648 (2000).
  13. D. Gruner, A. Nguyen, and P. Brumer, J. Chem. Phys. 101, 10 366 (1994).
  14. R. Berger, C. Fischer, and M. Klessinger, J. Phys. Chem. A 102, 7157 (1998).
  15. T. R. Faulkner and F. S. Richardson, J. Chem. Phys. 70, 1201 (1979).
  16. F. Duschinsky, Acta Physicochim. URSS 7, 551 (1937).
  17. K. C. Kulander, J. Chem. Phys. 71, 2736 (1979).
  18. T. R. Faulkner and F. S. Richardson, J. Chem. Phys. 71, 2737 (1979).
  19. P-Å. Malmqvist and N. Forsberg, Chem. Phys. 228, 227 (1998).
  20. B. Segev and E. J. Heller, J. Chem. Phys. 112, 4004 (2000).
  21. S. Kallush, B. Segev, A. V. Sergeev, and E. J. Heller, J. Phys. Chem. A 106, 6006 (2002).
  22. F. Iachello and S. Oss, Phys. Rev. Lett. 66, 2976 (1991).
  23. T. Muller, P. H. Vaccaro, F. Perez-Bernal, and F. Iachello, J. Chem. Phys. 111, 5038 (1999).
  24. H. Ishikawa, H. Toyosaki, N. Mikani, F. Pérez-Bernal, P. H. Vaccaro, and F. Iachello, Chem. Phys. Lett. 365, 57 (2002).
  25. D. K. W. Mok, E. P. F. Lee, F.-T. Chau, D. Wang, and J. M. Dyke, J. Chem. Phys. 113, 5791 (2000).
  26. P. Botschwina, B. Schulz, M. Horn, and M. Matuschewski, Chem. Phys. 190, 345 (1995).
  27. K. Takeshita and N. Shida, Chem. Phys. 210, 461 (1996).
  28. L. Serrano-Andrés, N. Forsberg, and P.-Å. Malmqvist, J. Chem. Phys. 108, 7202 (1998).
  29. G. Barinova, N. Markovic, and G. Nyman, J. Chem. Phys. 111, 6705 (1999).
  30. R. Neumann and C. Engler, Chem. Phys. 161, 229 (1992).
  31. J. R. Reimers, J. Chem. Phys. 115, 9103 (2001).
  32. D. M. Bishop, J. M. Luis, and B. Kirtman, J. Chem. Phys. 116, 9729 (2002).
  33. D. M. Bishop and B. Kirtman, J. Chem. Phys. 95, 2646 (1991).
  34. D. M. Bishop, J. M. Luis, and B. Kirtman, J. Chem. Phys. 108, 10013 (1998).
  35. D. M. Bishop, Adv. Chem. Phys. 104, 1 (1998).
  36. B. Kirtman, B. Champagne, and J. M. Luis, J. Comput. Chem. 21, 1572 (2000).
  37. M. Torrent-Succarat, M. Sola, M. Duran, J. M. Luis, and B. Kirtman, J. Chem. Phys. 116, 5363 (2002).
  38. P. Macak, Y. Luo, P. Norman, and H. Ågren, J. Chem. Phys. 113, 705 (2000).
  39. P. Macak, Y. Luo, and H. Ågren, Chem. Phys. Lett. 330, 447 (2000).
  40. A. Painelli, L. Del Freo, and F. Terenziana, Chem. Phys. Lett. 346, 470 (2001).
  41. E. B. Wilson, Jr., J. C. Decius, and P. C. Cross, Molecular Vibrations. The Theory of Infrared and Raman Vibrational Spectra (Dover, New York, 1955).
  42. J. O. Hirschfelder, W. Byers Brown, and S. T. Epstein, Adv. Quantum Chem. 1, 255 (1964).
  43. R. Flesch, E. Rühl, K. Hottmann, and H. Baumgärtel, J. Phys. Chem. 97, 837 (1993).
  44. M. J. Frisch, G. W. Trucks, H. B. Schlegel et al., Revision A.11, GAUSSIAN 98, Gaussian, Inc., Pittsburgh, 2001.
  45. K. A. Peterson and H.-J. Werner, J. Chem. Phys. 96, 8948 (1992).
  46. K. A. Peterson and H.-J. Werner, J. Chem. Phys. 99, 302 (1993).
  47. A. W. Richardson, R. W. Redding, and J. C. D. Brand, J. Mol. Spectrosc. 29, 93 (1969).
  48. H. S. P. Muller, G. O. Sorenson, M. Birk, and R. R. Friedl, J. Mol. Spectrosc. 186, 177 (1997).
  49. P. Chen, Photoelectron Spectroscopy of Reactive Intermediates, edited by C. Y. Ng, T. Baer, and I. Powis (Wiley, New York, 1994), Chap. 8, pp. 371–425.
  50. J. K. G. Watson, Mol. Phys. 15, 479 (1968).
  51. J. K. G. Watson, Mol. Phys. 19, 465 (1970).
  52. F.-T. Chau, J. M. Dyke, E. P. F. Lee, and K.-W. Mok, J. Chem. Phys. 118, 4025 (2003).

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.