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.

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