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Separated Product Rules for High and Low Frequencies in Isotopic Molecules |
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| Authors: | A. J. P. Alix B. N. Cyvin S. J. Cyvin |
| Affiliation: | 1. Laboratoire de Recherches Optiques, Faculté des Sciences , B. P. 347, F-51062, Reims Cédex, France;2. Division of Physical Chemistry , The University of Trondheim , N-7034 Trondheim-NTH, Norway |
| Abstract: | Separation of high and low frequencies is a known approximation in the theory of molecular vibrations. Accordingly the Teller-Redlich product rule for isotopic frequencies splits into separated product rules. A theorem states that the approximate frequency ratios for the high and low frequencies when multiplied together give the exact ratio for the whole set of frequencies. The theorem is illustrated by numerical computations for H2S2/D2S2 and proved mathematically for special cases as well as the general case. |
| Keywords: | Molecular vibrations Teller-Redlich product rule High and Low Frequency Separation H2S2 |