Reaction Path Hamiltonian Calculation of Tunneling Splitting in Protonated Methanol and Methylamine.

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Both protonated methanol(CH_3OH_2^+) and methylamine(CH_3NH_2) show two interesting large amplitude motion, namely, internal rotation and inversion. The internal rotation spectrum results from the rotation of the CH_3 moiety against the OH_2 group in case of protonated methanol and of NH_2 group in the case of methylamine. The other interesting phenomenon is inversion involving the OH_2 group and NH_2 group in the case of protonated methanol and methylamine, respectively. The influence of inversion in methylamine, on bands in the near and middle infrared has been investigated. Microwave and far-IR spectrum of methylamine has been measured and spectral frequency calculations derived from rotation-internal rotation-inversion analysis has been reported. However, in the past, detection of protonated methanol (CH_3OH_2^+), in interstellar clouds has been impossible due to the lack of both laboratory spectra and calculation. In this contribution {ab initio} based potential energy surface (PES) and dipole moment surface (DMS) is presented for both protonated methanol and methylamine. The PES and DMS are developed by least squares fitting of {ab initio} energy values computed at CCSD(T)/AVTZ level of theory and dipole moments at MP2/AVTZ level of theory. Internal rotation and inversion transition states and normal-mode frequencies will be reported. One-dimensional tunneling splitting calculations will be reported. Tunneling splittings at higher dimensionality, ro-vibrational states and transition intensities are calculated using reaction path Hamiltonian(RPH) as implemented in MULTIMODE(MM) code. MM treats polyatomic molecules with large-amplitude motion as and one "special" coordinate which is the large-amplitude vibrational coordinate. Complete integration is performed over reaction path coordinate, and the N-mode MULTIMODE coupling approximation for the evaluation of the matrix elements applies only to the 3N - 7 normal coordinates.

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