Quantum-Mechanical Calculation of Harmonic Oscillator Transition Probabilities. II. Three-Dimensional Impulsive Collisions
- 1 July 1962
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 37 (1), 177-181
- https://doi.org/10.1063/1.1732948
Abstract
The previous one‐dimensional calculations of Shuler and Zwanzig for the vibrational transition probabilities for harmonic oscillators undergoing impulsive hard‐sphere collisions with an incident atom have been extended to three dimensions. By the use of the modified wave number approximation, the three‐dimensional scattering problem is related to the one‐dimensional solution and the three‐dimensional transition probabilities are obtained through numerical integration over the previously calculated one‐dimensional probabilities. It is shown that vibrational transitions with | Δv | >1 are strongly allowed (in addition to the | Δv | = 1 transitions) in good agreement with the one dimensional impulsive collision results. The implication of this result on the mode and rate of the dissociation of diatomic molecules is discussed briefly.Keywords
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