An Application of the Dynamical Lie Algebraic Method to Potential Energy Surface of the Stable Linear Asymmetric Tetratomic Molecules

Potential energy surfaces play an important role in studying theoretical chemistry. In the present paper, we first use the dynamical symmetry group G = U₁(4) U₂(4) U₃(4) to get the expression of the potential energy surface for the stable linear asymmetric tetratomic molecules with the stretching vibration and the dissociation energy. The method can be applied to a number of stable tetratomic molecules. As an example we use the method to calculate the potential energy surface of C₂HD.