Four-dimensional quantum study on exothermic complex-forming reactions: Cl{sup -}+CH{sub 3}Br{yields}ClCH{sub 3}+Br{sup -}
- Institut fuer Physikalische Chemie, Universitaet Goettingen, Tammannstrasse 6, D-37077 Goettingen (Germany)
The exothermic gas-phase bimolecular nucleophilic substitution (S{sub N}2) reaction Cl{sup -}+CH{sub 3}Br ({upsilon}{sub 1}{sup '},{upsilon}{sub 2}{sup '},{upsilon}{sub 3}{sup '}){yields}ClCH{sub 3} ({upsilon}{sub 1},{upsilon}{sub 2},{upsilon}{sub 3})+Br{sup -} and the corresponding endothermic reverse reaction have been studied by time-independent quantum scattering calculations in hyperspherical coordinates on a coupled-cluster potential-energy surface. The dimensionality-reduced model takes four degrees of freedom into account [Cl-C and C-Br stretching modes (quantum numbers {upsilon}{sub 3}{sup '} and {upsilon}{sub 3}); totally symmetric modes of the methyl group, i.e., C-H stretching ({upsilon}{sub 1}{sup '} and {upsilon}{sub 1}) and umbrella bending vibrations ({upsilon}{sub 2}{sup '} and {upsilon}{sub 2})]. Diagonalization of the Hamiltonian was performed employing the Lanczos algorithm with a variation of partial reorthogonalization. A narrow grid in the total energy was employed so that long-living resonance states could be resolved and extracted. While excitation of the reactant umbrella bending mode already leads to a considerable enhancement of the reaction probability, its combination with vibrational excitation of the broken C-Br bond, (0, 1, 1), results in a strong synergic effect that can be rationalized by the similarity with the classical transitional normal mode. Exciting the C-H stretch has a non-negligible effect on the reaction probability, while for larger translational energies this mode follows the expected spectatorlike behavior. Combination of C-Br stretch and symmetric C-H, (1,0,1), stretch does not show a cooperative effect. Contrary to the spectator mode concept, energy originally stored in the C-H stretching mode is by no means conserved, but almost completely released in other modes of the reaction products. Products are most likely formed in states with a high degree of excitation in the new C-Cl bond, while the internal modes of the methyl group are less important. Reactants with combined umbrella/C-Br stretch excitation, (0, 1, 1), may yield products with two quanta in the umbrella mode.
- OSTI ID:
- 20722930
- Journal Information:
- Journal of Chemical Physics, Vol. 122, Issue 23; Other Information: DOI: 10.1063/1.1924407; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
- Country of Publication:
- United States
- Language:
- English
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