The most common crystal growth methods for fluorides are reviewed and illustrated by examples of materials that have been the object of a lot of investigations in the past three decades. The attention is focused on the vibrational analysis of AIMIIF3, A2MIIF4, MIIIF3 and AIMIIIF4 compounds whose structural arrangement are derived from the perovskite structure. The characteristics of the phonon spectra (measured in particular by inelastic neutron scattering when large single crystals are available) are described together with the parameters of the lattice dynamics models that makes it possible to calculate them. Such results are used to explain the mechanism of structural phase transitions in AIMIIF3, AIMIIIF4 compounds, and to investigate more complex structures such as KFeF4, the piezoelectric compounds BaMIIF4, the laser matrix LiYF4, mixed fluoride compounds and fluoride glasses. Applications to non destructive measurements of rare earth ions concentration in fluoride glasses and to solid state tunable lasers are also considered.
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