Bifurcation phase diagram for C2H2 bending dynamics has a tetracritical point with spectral patterns

Journal of Physical Chemistry A

Volumn 114, Issue 36, 2010, Pages 9825-9831

  Tyng, Vivian ^a   Kellman, Michael E ^a  

^a UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANHARMONIC MODES; BENDING DYNAMICS; CRITICAL POINTS; EFFECTIVE HAMILTONIAN; ENERGY LEVEL; EXPERIMENTAL ERRORS; EXPERIMENTAL TEST; INTEGRABLE SYSTEMS; MINIMUM ENERGY; MINIMUM ENERGY PATHS; NORMAL MODES; QUANTUM MONODROMY; QUANTUM NUMBERS; REACTION PATHS; SECOND DERIVATIVES; SPECTRAL PATTERNS; VIBRATIONAL MODES;

ACETYLENE; BIFURCATION (MATHEMATICS); ELECTRON ENERGY LEVELS; PHASE DIAGRAMS; QUANTUM THEORY;

PHASE TRANSITIONS;

EID: 77956496362     PISSN: 10895639     EISSN: 15205215     Source Type: Journal    
DOI: 10.1021/jp102957u     Document Type: Article

References (38)

1. Kellman, M. E.; Tyng, V. Acc. Chem. Res. 2007, 40, 243-250
2. Tyng, V.; Kellman, M. E. J. Chem. Phys. 2007, 127 041101
3. Tyng, V.; Kellman, M. E. J. Chem. Phys. 2009, 131, 244111
4. Tyng, V.; Kellman, M. E. J. Phys. Chem. B 2006, 110, 18859-18871
5. Landau, L. D.; Lifshitz, E. M. Statistical Physics, 3rd ed.; Butterworth-Heinemann: Oxford U.K., 1984.
6. Fischer, M. E.; Nelson, D. R. Phys. Rev. Lett. 1974, 32, 1350-1353
7. Aharony, A. Phys. Rev. Lett. 1975, 34, 590-593
8. Aharony, A.; Fishman, S. Phys. Rev. Lett. 1976, 37, 1587-1590
9. Park, T.; Ronning, F.; Yuan, H. Q.; Salamon, M. B.; Movshovich, R.; Sarrao, J. L.; Thompson, J. D. Nature 2006, 440, 65-68
10. Heyde, K. L. G. Basic Ideas and Concepts in Nuclear Physics, 3rd ed.; Institute of Physics Publishing: Bristol, U.K., 2004.
11. Iachello, F.; Pérez-Bernal, F. J. Phys. Chem. A 2009, 113, 13273-13286
12. Caprio, M. A.; Cejnar, P.; Iachello, F. Ann. Phys. 2008, 323, 1106-1135
13. See ref 3 and sources cited therein.
14. Jacobson, M. P.; O'Brien, J. P.; Silbey, R. J.; Field, R. W. J. Chem. Phys. 1998, 109, 121-133
15. Abbouti Temsamani, M.; Herman, M. J. Chem. Phys. 1995, 102, 6371-6384
16. Heisenberg, W. Z. Phyz. 1925, 33, 879
17. Translated in Sources of Quantum Mechanics; van der Waerden, B. L., Ed.; Dover: New York, 1967.
18. Child, M. S. Semiclassical Mechanics with Molecular Applications; Clarendon Press: Oxford, U.K., 1991; Chapter 4.2.
19. Clark, A. P.; Dickinson, A. S.; Richards, D. Adv. Chem. Phys. 1977, 36, 63-139
20. Cushman, R. H.; Bates, L. M. Global Aspects of Classical Integrable Systems; Birkhäuser: Basel, Switzerland, 1997.
21. Child, M. S. J. Phys. Chem. A 1998, 31, 657-670
22. Cooper, C. D.; Child, M. S. Phys. Chem. Chem. Phys. 2005, 7, 2731-2739
23. Child, M. S. Adv. Chem. Phys. 2007, 136, 39-94
24. Sadovskii, D. A.; Zhilinskii, B. I. Phys. Lett. A 1999, 256, 235-244
25. Sadovskii, D. A.; Cushman, R. H. Physica D 2000, 142, 166-196
26. Kozin, I. N.; Roberts, R. M. J. Chem. Phys. 2003, 118, 10523-10533
27. Waalkens, H.; Junge, A.; Dullin, H. R. J. Phys. A 2003, 36, L307-L314
28. Joyeux, M.; Sadovskii, D. A.; Tennyson, J. Chem. Phys. Lett. 2003, 382, 439-442
29. Efstathiou, K.; Joyeux, M.; Sadovskii, D. A. Phys. Rev. A 2004, 69 032504
30. Arangoa, C. A.; Kennerly, W. W.; Ezra, G. S. Chem. Phys. Lett. 2004, 392, 486-492
31. Cushman, R. H.; Dullin, H. R.; Giacobbe, A.; Holm, D. D.; Joyeux, M.; Lynch, P.; Sadovskii, D. A.; Zhilinskii, B. I. Phys. Rev. Lett. 2004, 93 024302
32. Sadovskii, D. A.; Zhilinskii, B. I. Mol. Phys. 2006, 104, 2595-2615
33. Li, Z.; Xiao, L.; Kellman, M. E. J. Chem. Phys. 1990, 92, 2251-2268
34. Xiao, L.; Kellman, M. E. J. Chem. Phys. 1990, 93, 5805-5820
35. Kellman, M. E.; Xiao, L. J. Chem. Phys. 1990, 93, 5821-5825
36. Svitak, J.; Li, Z.; Rose, J.; Kellman, M. E. J. Chem. Phys. 1995, 102, 4340-4354
37. Abbouti Temsamani, M.; Herman, M.; Solina, S. A. B.; O'Brien, J. P.; Field, R. W. J. Chem. Phys. 1996, 105, 11357-11359
38. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing; Abramowitz, M.; Stegun, I. A., Eds.; Dover: New York, 1970.