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Dynamical symmetry group for highly excited vibrational spectra of triatomic molecules has been studied-The results showed that the dynamicsl symmetry of tiratomic molecules are U1(4)U2(4)-Therefore,the Hamiltonian of triatomic molecules can be writen as the sum of elements of Lie algebra U1(4)U2(4)- And the eigenvalue of molecular Hamiltonian can be obtained by Lie algebraic treatment-
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