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In this work, the authors give the parametric form of the Zeta constants for the case of the molecules XY 2  and X 3  (symmetric species C 2v ), as a function of the mathematical parameter a which generates all the solutions, and of the molecular coupling coefficient Ψ 12  between two symmetry coordinates S 1 (A 1 ) and S 2 (A 1 ).

Parametric Study of Functions of Molecular Vibrations: IV. Coriolis Coupling Constants for the Molecules XY 2 and X 3 (Symmetry C 2V )