Abstract
The method of an accurate calculation of vibrational excitation cross sections of a two-mode molecule by slow electrons within the framework of the local theory (the ‘boomerang’ model) is applied for a model study of the excitation of the symmetrical stretching vibrational modes of carbon dioxide in the two-mode approximation (i.e., only the symmetrical stretch and bending modes are included in the consideration). It is shown that the 'boomerang’ oscillations in the cross section are strongly suppressed due to the decay of the one-dimensional ‘boomerang' state caused by the anion wave packet sliding from the linear configuration ridge. Consequently, the bending motion in CO2 molecule should to be taken into account even if only the processes without the final bending excitation are considered. A simple quasi one-dimensional model describing the system sliding from the ridge is put forward which treats this phenomenon as a decay of the initial wave packet via the series of diabatic resonant states related to unstable trajectory.
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References
Massey, H.: Negative ions. Cambridge, London, New York, Melbourne: Cambridge University Press 1976
Lane, N.F.: Rev. Mod. Phys. 52, 29 (1980)
Herzenberg, A.: J. Phys. B 1, 548 (1968) Herzenberg, A.: In: Electron-molecule collisions, p. 191. Shimamura, I., Takayanagi, K. (eds.). New York, London: Plenum Press 1984
Dube, L., Herzenberg, A.: Phys. Rev. A 20, 194 (1979)
Domcke, W.: Phys. Rep. 208, 97 (1991)
Kazansky, A.K., Sergeeva, L. Yu.: J. Phys. B 17, 3217 (1994)
Cadez, I., Gresteau, F., Tronc, M., Hall, R.: J. Phys. B 10, 3821 (1977)
Szmytkowski, C., Zubek, M.: J. Phys. B 10, L31 (1977)
Herzberg, G.: Molecular spectra and molecular structure. Toronto New York London: 1966
Estrada, H., Cederbaum, L.S., Domcke, W.: J. Chem. Phys. 84, 152 (1986)
Murrell, J.N., Carter, S., Farantes, S.C., Huxley, P., Varandas, A.J.C.: Molecular potential energy functions. Chichester, NY, Brisbane, Toronto, Singapor: Wiley 1984
Orel, A.E., Kulander, K.C.: Phys. Rev. Lett. 71, 4315 (1993)
Krauss, M., Neumann, D.: Chem. Phys. Lett. 14, 26 (1972)
Hopper, D.G.: Chem. Phys. 53, 85 (1980)
Blatt, J.M., Weisskopf, V.F.: Theoretical nuclear physics. NY, London, Sydney: Wiley 1966
Cederbaum, L.S., Domcke, W.: J. Phys. B 14, 4665 (1981)
Kazansky, A.K., Ostrovsky, V.N.: Zh. Eksp. Teor. Fiz. 95, 1162 (1989); Sov. Phys. -JETP 68, 670 (1989)
Kazansky, A.K., Ostrovsky, V.N. In: Second International Workshop on Harmonic oscillators. D. Han, K.B. Wolf (eds.) NASA Conference Publication 3286, 349 (1995)
Du, M.L., Kazansky, A.K., Ostrovsky, V.N.: Phys. Rev. A 42, 4381 (1990); Kazansky, A.K., Ostrovsky, V.N., Telnov, D.A.: J. Phys. B 23, L433 (1990)
Kazansky, A.K., Ostrovsky, V.N.: J. Phys. B 25, 2121 (1992); Kazansky, A.K., Ostrovsky, V.N., Sergeeva, L. Yu.: J. Phys. B 27, 5197 (1994)
Feit, M.D., Fleck, J.A.: J. Chem. Phys. 78, 301 (1982)
Feit, M.D., Fleck, J.A.: J. Chem. Phys. 80, 2578 (1984)
Feit, M.D., Fleck, J.A., Steiger, A.: J. Comput. Phys. 47, 412 (1982)
Kosloff, R.: J. Phys. Chem. 92, 2087 (1988)
Schinke, R.: Photodissociation dynamics. Spectroscopy and fragmentation of small molecules. Cambridge University Press 1993
McCurdy, C.W., Turner, J.L.: J. Chem. Phys. 78, 6773 (1983)
Nussbaumer, H.J.: Fast fourier transform and convolution algorithms. Berlin: Springer 1982
Currell, F., Comer, J.: J. Phys. B 26, 2463 (1993)
Burrow, P.D., Sanche, L.: Phys. Rev. Lett. 28, 333 (1972)
Tronc, M., Azria, R., Paineau, R.: J. Phys. 40, L–323 (1979)
Currell, F., Comer, J.: Phys. Rev. Lett. 74, 1319 (1995)
Gallup, G.A.: Phys. Rev. A 34, 2746 (1986)
Gertitschke, P.L., Domcke, W.: J. Phys. B 26, 2927 (1993)
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Kazansky, A., Sergeeva, L.Y. A model study of vibrational excitation of carbon dioxide molecule by slow electrons: the role of wave packet sliding from the ridge. Z Phys D - Atoms, Molecules and Clusters 37, 305–313 (1996). https://doi.org/10.1007/s004600050045
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DOI: https://doi.org/10.1007/s004600050045