Understanding Fermi resonances in the complex vibrational spectra of the methyl groups in methylamines

Qian Rui Huang, Tomoya Endo, Saurabh Mishra, Bingbing Zhang, Li Wei Chen, Asuka Fujii, Ling Jiang, G. Naresh Patwari, Yoshiyuki Matsuda, Jer Lai Kuo

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Vibrational spectra of the methyl groups in mono-methylamine (MMA), dimethylamine (DMA), and trimethylamine (TMA) monomers and their clusters were measured in three experimental set-ups to capture their complex spectral features as a result of bend/umbrella-stretch Fermi resonance (FR). Multiple bands were observed between 2800 and 3000 cm−1corresponding to the methyl groups for MMA and DMA. On the other hand, the corresponding spectrum of TMA is relatively simple, exhibiting only four prominent bands in the same frequency window, even though TMA has a larger number of methyl groups. The discrete variable representation (DVR) basedab initioanharmonic algorithm with potential energy surface (PES) at CCSD/aug-cc-pVDZ quality is able to capture all the experimentally observed spectral features across all three amines, and the constructed vibrational Hamiltonian was used to analyze the couplings that give rise to the observed FR patterns. It was observed that the vibrational coupling among CH stretch modes on different methyl groups is weak (less than 2 cm−1) and stronger vibrational coupling is found to localize within a methyl group. In MMA and DMA, the complex feature between 2850 and 2950 cm−1is a consequence of closely packed overtone states that gain intensities by mixing with the stretching modes. The simplification of the spectral pattern of TMA can be understood by the red-shift of the symmetric CH3stretching modes by about 80 cm−1relative to MMA, which causes the symmetric CH3stretch to shift outside the FR window.

Original languageEnglish
Pages (from-to)3739-3747
Number of pages9
JournalPhysical Chemistry Chemical Physics
Issue number6
Publication statusPublished - 2021 Feb 14


Dive into the research topics of 'Understanding Fermi resonances in the complex vibrational spectra of the methyl groups in methylamines'. Together they form a unique fingerprint.

Cite this