Anomalous Behavior in the Rotational Spectra of the NU(8) = 2 and the NU(8) = 3 Vibrations for the Carbon -13 and NITROGEN-15 Tagged Isotopes of the Methyl Cyanide Molecule in the Frequency Range 17-95 GHZ

The rotational microwave spectra of the three isotopes (^{13}CH _3^{12}C^ {15}N, ^{12} CH_3^{13}C ^{15}N, and ^ {13}CH_3^{13 }C^{15}N) of the methyl cyanide molecule in the nu _8 = 3, nu_8 = 2, nu_7 = 1 and nu_4 = 1 vibrational energy levels for the rotational components 1 <=q J <=q 5 (for a range of frequency 17-95 GHz.) were experimentally and theoretically examined. Rotational components in each vibration were measured to determine the mutual interactions in each vibration between any of the vibrational levels investigated. The method of isotopic substitution was employed for internal tuning of each vibrational level by single and double substitution of ^{13} C in the two sites of the molecule. It was found that relative frequencies within each vibration with respect to another vibration were shifted in a systematic way. The results given in this work were interpreted on the basis of these energy shifts. Large departure between experimentally measured and theoretically predicted frequency for the quantum sets (J, K = +/-1, l = +/-1), K l = 1 in the nu_8 = 3 vibrational states for the ^{13 }C and ^{15}N tagged isotopes of CH_3CN showed anomalous behavior which was explained as being due to Fermi resonance. Accidentally strong resonances (ASR) were introduced to account for some departures were not explained by Fermi resonance.