ABSTRACT The vibrational excitations of linear tetratomic molecules, including both stretching and bending vibrations, are studied in the framework of U(4) algebra. Using Lie algebra, we get the algebraic Hamiltonian that consists of not only Casimir operators but also Majorana operators M12, M13 and M23 which are indispensable for getting the potential energy surface and the force constants of linear tetratomic molecules in algebraic approach, and using this algebraic Hamiltonian, the highly excited vibrational levels of linear tetratomic molecules C2HF and C2D2 are obtained. In addition, some other properties are also discussed.
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