NUMERICAL METHOD FOR TREATING HIGH ORDER ROTATION-VIBRATION ENERGIES OF POLYATOMIC MOLECULES.
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Date
1969
Journal Title
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Publisher
Ohio State University
Abstract
Successive contact transformations are applied to the Darling-Dennison Hamiltonian expansion and the vibrational diagonalization is performed. A convenient numerical method is developed whereby resonant interactions and states can be excluded from the diagnoalization, these states subsequently being given an exact treatment. This method has been carried out to yield the diagonal and off---diagonal elements of the coefficients of angular momenta $P^{0}$ to $P^{8}$ to fourth order with and without excluded vibrational states. The former results are consistent with the work of $Amat et al.^{1}$ Applications of this numerical method to the ground state and $2v_{2}-v_{1}-v_{3}$ states of water will be discussed.
Description
Author Institution: Air Force Cambridge Research Laboratories (CROI), L. G. Hanscom Field; Acorn Park, Cambridge
$^{1}$G. Amat and H. Nielsen, J. Chem. Phys. 29, 665 (1958).
$^{1}$G. Amat and H. Nielsen, J. Chem. Phys. 29, 665 (1958).