Algebraic study of vibrational spectra of the tetra-atomic molecules N15C12C12N15 and N14C13C13N14

Abstract

In this paper, an accurate and efficient algebraic technique is used to compute linear tetra-atomic molecules stretching and bending vibration modes. Namely, several collective energy levels of linear XYYX molecules N[Formula: see text]C[Formula: see text]C[Formula: see text]N[Formula: see text] and N[Formula: see text]C[Formula: see text]C[Formula: see text]N[Formula: see text] have been described in the framework of the algebraic approach based on U[Formula: see text] Lie algebra. The results are compared to experimental data, good agreement has been obtained. The potential energy function of the two molecules is analyzed and the dissociation energies are derived.