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Nonlinear coordinate transformations are considered for the molecular vibrations of the bent symmetrical XY 2  and tetrahedral Z 4  models. Algebraic expressions are given for internal coordinates as expanded through cubic terms, using a method due to CIHLA and PLÍVA. The method is compared to other approaches, viz. those of MORINO et al. on one hand, and PARISEAU et al. on the other. A conclusions is given in favour of the CIHLA-PLÍVA method as regard to a systematic treatment of polyatomic molecules. A similar conclusion applies also to the connected type of calculations where electronic computers are employed.

Nonlinear Coordinate Transformations for Vibrations of Simple Polyatomic Molecules, Using the Cihla-Pliva Formalism