Quantum Theory of Chemical Reaction Rates

Cover Quantum Theory of Chemical Reaction Rates
Quantum Theory of Chemical Reaction Rates
Ernest Bauer
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)> i. E. , for each initial and final state of rotation in the p-coordinate. Thus there will be a corresponding change in the condition for conservation of energy, (15), in that e^ = ^n^^n"^n^' where v and J are respectively vibra- tional and rotational quantum numbers.
N. 12 Ihis section was written as a result of some remarks by Dr. S. H. Bauer.
- 20 - (iii) Precisely which transitions J -j„ are possible depends on the form of V. (p), and more particixlar3y on V'(p, i^). If V. Is independent
...of a, p, the polar coordinates in the p- coordinates, vre have, (30) 0Jp) = 0^(p) Yj^Ja, p); where Y. Are normalized spherical harmonics. Then if V is independent of (a, p), j^ = j^; if V ru cos a, J^ = Jf ± 1. Etc.
(iv) Overall, the effect of molecular rotation on the vibrational motion will be the addition of rotational fine structure to the energy level diagrams . However, this does not invalidate any of the present arguments regarding the character and magnitude of quantum jumps, because of the selection rules that will be enforced by a 'reasonable' form of V.


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