Intramolecular Dynamics Along Isomerization and Dissociation Pathways

Geometric Structures of Phase Space in Multidimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems

Volumn 130, Issue , 2005, Pages 267-303

  Joyeux, Marc ^a   Grebenshchikov, Sergy Yu ^b   Bredenbeck, Jens ^b   Schinke, Reinhard ^b   Farantos, Stavros C ^c,d  

^a LIPHY   (France)

^b MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

^c INSTITUTE OF COMPUTER SCIENCE   (Greece)

^d UNIVERSITY OF CRETE   (Greece)

Author keywords

Bifurcations; Canonical perturbation theory; Dissociation; Fermi resonance; Intramolecular dynamics; Isomerization; Non linear dynamics; Periodic orbits; Semi classical quantization; Vibrations

Indexed keywords

BIFURCATION (MATHEMATICS); BROMINE COMPOUNDS; CHLORINE COMPOUNDS; DISSOCIATION; ISOMERIZATION; ISOMERS; MOLECULES; PERTURBATION TECHNIQUES; PHASE SPACE METHODS; POTENTIAL ENERGY; QUANTUM CHEMISTRY; QUANTUM THEORY; RESONANCE; VIBRATIONS (MECHANICAL);

FERMI RESONANCES; INTRAMOLECULAR DYNAMICS; NON-LINEAR DYNAMICS; PERIODIC ORBITS; PERTURBATION THEORY; SEMI-CLASSICAL QUANTIZATION; VIBRATIONS;

PHOSPHORUS COMPOUNDS;

EID: 22944491908     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/0471712531.ch5     Document Type: Chapter

References (52)

1. M. Joyeux and D. Sugny, Can. J. Phys. 80, 1459 (2002).
2. D. Sugny, M. Joyeux, and E. L. Sibert III, J. Chem. Phys. 113, 7165 (2000).
3. D. Sugny and M. Joyeux, J. Chem. Phys. 112, 31 (2000).
4. K. Efstathiou, M. Joyeux, and D.A. Sadovskii, Phys. Rev. A, 69, 032504 (2004).
5. M. Joyeux, D. A. Sadovskii, and J. Tennyson, Chem. Phys. Lett. 382, 439 (2003).
6. J. Robert and M. Joyeux, J. Chem. Phys. 119, 8761 (2003).
7. T. van Mourik, G. J. Harris, O. L. Polyansky, J. Tennyson, A. G. Csaszar, and P. J. Knowles, J. Chem. Phys. 115, 3706 (2001).
8. G. J. Harris, O. L. Polyansky, and J. Tennyson, Spectrochim. Acta A 58, 673 (2002).
9. E. B. Wilson, J. C. Decius, and P. C. Cross, Molecular Vibrations, Dover, New York, 1955, Chapter 4.
10. J. H. Van Vleck, Phys. Rev. 33, 467 (1929).
11. O. M. Jordahl, Phys. Rev. 45, 87 (1934).
12. E. C. Kemble, The Molecular Principles of Quantum Mechanics, McGraw-Hill, New York, 1937, Section 48c.
13. E. L. Sibert III, J. Chem. Phys. 88, 4378 (1988).
14. D. Lessen, J. S. Baskin, C. M. Jones, T. He, and E. Carrasquillo-Molina, J. Chem. Phys. A 107, 5697 (2003).
15. I. Shavitt and L. T. Redmon, J. Chem. Phys. 73, 5711 (1980).
16. A. J Dragt and J. M. Finn, J. Math. Phys. 17, 2215 (1976).
17. A. J Dragt and J. M. Finn, J. Math. Phys. 20, 2649 (1979).
18. A. J Dragt and E. Forest, J. Math. Phys. 24, 2734 (1983).
19. G. D. Birkhoff, Dynamical Systems, Vol. 9, AMS colloquium, AMS, New York, 1966.
20. F. G. Gustavson, Astron. J. 71, 670 (1966).
21. R. T. Swimm and J. B. Delos, J. Chem. Phys. 71, 1706 (1979).
22. A. M. Smith, S. L. Coy, W. Klemperer, and K. K. Lehmann, J. Mol. Spectrosc. 134, 134 (1989).
23. X. Yang, C. A. Rogaski, and A. M. Wodtke, J. Opt. Soc. Am. B 7, 1835 (1990).
24. D. M. Jonas, X.Yang, and A. M. Wodtke, J. Chem. Phys. 97, 2284 (1992).
25. S. C. Farantos, J. M. Gomez Llorente, O. Hahn, and H. S. Taylor, J. Chem. Phys. 93, 76 (1990).
26. D. Romanini, and K. K. Lehmann, J. Chem. Phys. 102, 633 (1995).
27. A. Maki, W. Quapp, S. Klee, G. C. Mellau, and S. Albert, J. Mol. Spectrosc. 180, 323 (1996).
28. F. J. Northrup, G. A. Bethardy, and R. G. Macdonald, J. Mol. Spectrosc. 186, 349 (1997).
29. J. M. Bowman, B. Gazdy, J. A. Bentley, T. K. Lee, and C. E. Dateo, J. Chem. Phys. 99, 308 (1993).
30. Z. Bacic, R. M. Whitnell, D. Brown, and J. C. Light, Comput. Phys. Comm. 51, 35 (1988).
31. A. J. Dobbyn, M. Stumpf, H.-M. Keller, and R. Schinke, J. Chem. Phys. 103, 9947 (1995).
32. D. J. Nesbitt and R. W. Field, J. Phys. Chem. 100, 12735 (1996).
33. C. Beck, R. Schinke, and J. Koput, J. Chem. Phys. 112, 8446 (2000).
34. M. Joyeux, D. Sugny, V. Tyng, M. E. Kellman, H. Ishikawa, R.W. Field, C. Beck, and R. Schinke, J. Chem. Phys. 112, 4162 (2000).
35. H. Ishikawa, R.W. Field, S. C. Farantos, M. Joyeux, J. Koput, C. Beck, and R. Schinke, Annu. Rev. Phys. Chem. 50, 443 (1999).
36. M. Joyeux, S. C. Farantos, and R. Schinke, J. Phys. Chem. A 106, 5407 (2002).
37. S. Skokov, K. A. Peterson, and J. M. Bowman, J. Chem. Phys. 109, 2662 (1998).
38. J. Weiss, J. Hauschildt, S. Yu. Grebenshchikov, R. Düren, R. Schinke, J. Koput, S. Stamatiadis, and S. C. Farantos, J. Chem. Phys. 112, 77 (2000).
39. R. Jost, M. Joyeux, S. Skokov, and J. M. Bowman, J. Chem. Phys. 111, 6807 (1999).
40. K. A. Peterson, J. Chem. Phys. 113, 4598 (2000).
41. T. Azzam, R. Schinke, S. C. Farantos, M. Joyeux, and K. A. Peterson, J. Chem. Phys. 118, 9643 (2003).
42. A. Einstein, Verh. Dtsch. Phys. Ges. 19, 82 (1917).
43. L. Brillouin, J. Phys. 7, 353 (1926).
44. J. Keller, Ann. Phys. 4, 180 (1958).
45. M. Tabor, Chaos and Integrability in Nonlinear Dynamics, JohnWiley & Sons, New York, 1989.
46. S. Wiggins, Global Bifurcations and Chaos, Springer, Berlin, 1988.
47. S.Wiggins, Introduction to applied nonlinear dynamical systems and chaos, Springer, New York, 1990.
48. S. C. Farantos, Int. Rev. Phys. Chem. 15, 345 (1996).
49. P. Berge, Y. Pomeau, and C. Vidal, Order Within Chaos, John Wiley & Sons, New York, 1984.
50. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics, Springer, New York, 1990.
51. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer, Berlin, 1983.
52. S. Yu. Grebenshchikov, R. Schinke, and W. L. Hase, State-Specific Dynamics of Unimolecular Dissociation, in N. J. B. Green, ed., Comprehensive Chemical Kinetics, Vol. 39, Part I, Elsevier, Amsterdam, 2003.