The stretching and bending vibrational energies of SnBr4 and CCl4 are calculated in the one-dimensional framework. The dynamical symmetry group of tetrahedral molecule was taken into consideration to construct the model Hamiltonian in this framework. Casimir and Majorana invariant operators were also determined accordingly. Using the model Hamiltonian so constructed, we reported the vibrational energy levels of SnBr4 and CCl4 molecules accurately.

A systematic analysis of the IR and Raman spectra of tartaric acid (TA) [HOOC(CHOH),COOH], based on standard frequency correlations, deuteration shift and typical characteristics (with respect to intensity and width) of bands due to different modes, is reported. Almost all the vibrational modes of TA appear with two or more split components. The doublet structure of the vcH, v , and ti::,, modes arises mainly owing to crystallographically distinguishable sites for two identical oscillators. The splitting of other modes (viz. v~-~, BCH, v : : , v: $, , , )and zcooHl originates from differences in the crystallographic fields around the two identical oscillators and resonance interactions between such oscillators. The doublet of 8%: arises mainly from resonance interactions between two identical oscillators of two identical groups in TA.

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