Abstract
The highly excited vibrational states of asymmetric linear tetratomic molecules are studied in the framework of Lie algebra. By using symmetric group U 1 (4)A U 2 (4)A U 3 (4), we construct the Hamiltonian that includes not only Casimir operators but also Majorana operators M 12 , M 13 and M 23 , which are useful for getting potential energy surface and force constants in Lie algebra method. By Lie algebra treatment, we obtain the eigenvalues of the Hamiltonian, and make the concrete calculation for molecule C 2 HF.
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