Journal of Chemical Physics
The Journal of Chemical Physics
   
 
 
 
Previous Article
Effects of collision-induced perturbation of atomic motions on the vibrational relaxation of polyatomic molecules
We have performed model calculations on the vibrational relaxation (including population relaxation and dephasing) induced by intermolecular interactions in the liquid phase. Taking into account the p...
Next Article
Geometry of the steady-state approximation: Perturbation and accelerated convergence methods
The time evolution of two model enzyme reactions is represented in phase space . The phase flow is attracted to a unique trajectory, the slow manifold , before it reaches the point equilibrium of the ...

Molecular dynamics with electronic transitions

J. Chem. Phys. 93, 1061 (1990); doi:10.1063/1.459170

Issue Date: 15 July 1990

You are not logged in to this journal. Log in

John C. Tully
AT&T Bell Laboratories, Murray Hill, New Jersey 07974
A method is proposed for carrying out molecular dynamics simulations of processes that involve electronic transitions. The time dependent electronic Schrödinger equation is solved self-consistently with the classical mechanical equations of motion of the atoms. At each integration time step a decision is made whether to switch electronic states, according to probabilistic ``fewest switches'' algorithm. If a switch occurs, the component of velocity in the direction of the nonadiabatic coupling vector is adjusted to conserve energy. The procedure allows electronic transitions to occur anywhere among any number of coupled states, governed by the quantum mechanical probabilities. The method is tested against accurate quantal calculations for three one-dimensional, two-state models, two of which have been specifically designed to challenge any such mixed classical–quantal dynamical theory. Although there are some discrepancies, initial indications are encouraging. The model should be applicable to a wide variety of gas-phase and condensed-phase phenomena occurring even down to thermal energies. The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
History: Received 24 January 1990; accepted 2 April 1990
Permalink: http://link.aip.org/link/?JCPSA6/93/1061/1
BUY THIS ARTICLE   (US$28)
Download PDF (1338 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 33.10.Cs
    Molecular spectra and interactions of molecules with photons Calculation of molecular spectra Calculational methods (including new theoretical techniques and applications of group theory)
  • YEAR: 1990

PUBLICATION DATA

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

REFERENCES (47)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. M. F. Herman and E. Kluk, in Dynamical Processes in Condensed Matter, edited by M. W. Evans (Wiley, New York, 1985), p. 577.
  2. E. E. Nikitin, Theory of Elementary Atomic and Molecular Processes in Gases (Clarendon, Oxford, 1974).
  3. M. S. Child, in Atom-Molecule Collision Theory, edited by R. B. Bernstein (Plenum, New York, 1979), p. 427.
  4. M. Baer, in Theory of Chemical Reaction Dynamics, edited by M. Baer (CRC, Boca Raton, 1985), Vol. II, p. 219.
  5. P. Pechukas, Phys. Rev. 181, 174 (1969).
  6. P. Pechukas and J. P. Davis, J. Chem. Phys. 56, 4970 (1972).
  7. J. C. Tully and R. K. Preston, J. Chem. Phys. 55, 562 (1971).
  8. J. C. Tully, in Dynamics of Molecular Collisions edited by W. H. Miller (Plenum, New York, 1976), Part B, p. 217.
  9. W. H. Miller and T. F. George, J. Chem. Phys. 56, 5637 (1972).
  10. W. H. Miller, Adv. Chem. Phys. 25, 69 (1974).
  11. W. H. Miller and C. W. McCurdy, J. Chem. Phys. 69, 5163 (1978);
  12. C. W. McCurdy, H. D. Meyer, and W. H. Miller, ibid. 70, 3177 (1979).
    H. D. Meyer and W. H. Miller, ibid. 70, 3214 (1979);
    72, 2272 (1980).
  13. K. J. Sebastian, Chem. Phys. Lett. 81, 14 (1981).
  14. M. F. Herman, J. Chem. Phys. 76, 2949 (1982);
  15. 79, 2771 (1983);
    81, 754, 764 (1984);
    87, 4779 (1987);
    M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984).
  16. D. A. Micha, J. Chem. Phys. 78, 7139 (1983);
  17. P. K. Swaminathan, B. C. Garrett, and C. S. Murthy, ibid. 88, 2822 (1988).
  18. L. J. Dunne, J. N. Murrell, and J. G. Stamper, Chem. Phys. Lett. 112, 497 (1984).
  19. H. K. McDowell, J. Chem. Phys. 83, 772 (1985);
  20. 86, 5763 (1987).
  21. B. Carmeli and D. Chandler, J. Chem. Phys. 82, 3400 (1985).
  22. S. Sawada and H. Metiu, J. Chem. Phys. 84, 227 (1986);
  23. B. Jackson and H. Metiu, ibid. 85, 4129 (1986).
  24. D. Dehareng, Chem. Phys. 110, 375 (1986).
  25. P. G. Wolynes, J. Chem. Phys. 86, 1957 (1987);
  26. 87, 6559 (1987).
  27. H. Nakamura, J. Chem. Phys. 87, 4031 (1987).
  28. J. E. Straub and B. J. Berne, J. Chem. Phys. 87, 6111 (1987).
  29. J. R. Stine and J. T. Muckerman, J. Chem. Phys. 65, 3975 (1976);
  30. 68, 185 (1978);
    J. Phys. Chem. 91, 459 (1987).
  31. D. P. Ali and W. H. Miller, J. Chem. Phys. 78, 6640 (1983).
  32. N. C. Blais and D. G. Truhlar, J. Chem. Phys. 79, 1334 (1983);
  33. N. C. Blais, D. G. Truhlar, and C. A. Mead, ibid. 89, 6204 (1988).
  34. R. E. Cline, Jr. and P. G. Wolynes, J. Chem. Phys. 86, 3836 (1987).
  35. C. W. Eaker, J. Chem. Phys. 87, 4532 (1987).
  36. G. Parlant and E. A. Gislason, J. Chem. Phys. 91, 4416 (1989);
  37. B. Space and D. F. Coker, J. Chem. Phys. (in press).
  38. M. H. Mittleman, Phys. Rev. 122, 449 (1961).
  39. J. B. Delos, W. B. Thorson, and S. K. Knudsen, Phys. Rev. A 6, 709 (1972).
  40. G. D. Billing, Chem. Phys. Lett. 30, 391 (1975).
  41. D. Kumomoto and R. Silbey, J. Chem. Phys. 75, 5164 (1981).
  42. D. J. Diestler, J. Chem. Phys. 78, 2240 (1983).
  43. Z. Kirson, R. B. Gerber, A. Nitzan, and M. A. Ratner, Surf. Sci. 137, 527 (1984);
  44. 151, 531 (1985).
  45. S. Sawada, A. Nitzan, and H. Metiu, Phys. Rev. B 32, 851 (1985).
  46. K. J. Schafer, J. D. Garcia, and N. H. Kwong, Phys. Rev. B 36, 1872 (1987).
  47. Z. Kotler, R. Kosloff, and A. Nitzan, Chem. Phys. Lett. 153, 483 (1988).
  48. M. Amarouche, F. X. Gadea, and J. Dump, Chem. Phys. 130, 145 (1989).
  49. A. T. Amos, K. W. Sulston, and S. G. Davidson, Adv. Chem. Phys. 76, 335 (1989).
  50. H. S. W. Massey, Rep. Progr. Phys. 12, 248 (1949).
  51. D. Chandler, ACS National Meeting, Miami Beach, 1989 (unpublished).
  52. J. C. Tully, J. Chem. Phys. 60, 3042 (1974);
  53. State to State Chemistry, edited by P. R. Brooks and E. F. Hayes, ACS Symposium Series 56, (ACS, Washington, DC, 1977), p. 206.
  54. F. Webster, P. J. Rossky, and R. A. Friesner (unpublished).
  55. D. Kosloff and R. Kosloff, J. Comp. Phys. 52, 35 (1983).
  56. M. J. Romanelli, in Mathematical Methods for Digital Computers, edited by A. Ralston and H. S. Wilf (Wiley, New York, 1960), Chap. 9.
  57. J. N. Onuchic and P. G. Wolynes, J. Phys. Chem. 92, 6495 (1988).
  58. An alternative prescription for damping has been proposed in Ref. 15 and L. J. Dunne, Int. J. Q. Chem. 32, 31 (1987).

CITING ARTICLES

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