ABSTRACT:The LaF 3 ⅐Ar n (n ϭ 1-21) clusters have been proposed as models to account for the matrix effects on the molecular properties of the LaF 3 molecule isolated in argon solid matrix at cryogenic temperature. Because of the strong Lewis acid character of the LaF 3 molecule, there is a substantial electron-density transfer from the argon atoms to the molecule that induces important geometrical changes in the structure and vibrational frequencies. The present bottom-up approach reveals the formation of two sets of structures close in energy having the D 3h -LaF 3 and the C 3v -LaF 3 . The D 3h -LaF 3 structures are more compact with respect to the C 3v series. The largest investigated cluster of the D 3h series, the LaF 3 ⅐Ar 21 resembles an hcp structure with the LaF 3 occupying the central substitutional site that it is expected to be energetically preferred. The C 3v -LaF 3 structures are more stable for lighter clusters and their high formation rates in the gas-phase, immediately before matrix incorporation, could explain experimental IR/Raman results that point to a pyramidal shape for the molecule in argon matrix.