A new proof of the molecular Hamiltonian in Radau coordinates for triatomic molecules based on tensor form

摘要: A generalized coordinates molecular Hamiltonian for polyatomic molecules has been obtained. Using this in Radau as the orthogonal coordinates, is derived tri-atomic molecules. An exact derivation presented of different axis embedding such bond embedding, bisector and linear combination vector coordinates. In addition, symmetrized are considered an example general formulation. This new approach greatly simplified. Also simple explicit expressions without cross-terms vibrational variables.