A Symmetry Adapted Approach to Molecular Spectroscopy: The Anharmonic   Oscillator Symmetry Model
  We apply the Anharmonic Oscillator Symmetry Model to the description of vibrational excitations in ${\cal D}_{3h}$ and ${\cal T}_d$ molecules. A systematic procedure can be used to establish the relation between the algebraic and configuration space formulations, by means of which new interactions are found in the algebraic model, leading to reliable spectroscopic predictions. We illustrate the method for the case of ${\cal D}_{3h}$-triatomic molecules and the ${\cal T}_d$ Be-cluster. 
A. Frank, R. Lemus, R. Bijker, F. Perez-Bernal and J.M. Arias   (ICN/UNAM and University of Sevilla)