“…Low-temperature and soft chemistry syntheses of nanofluorides (e.g, mechanochemical [40,41], sol-gel [24], solvothermal [42] methods and some other techniques [35]) are especially prominent because of their technological advantages. Recently, we have successfully used our coprecipitation from aqueous solutions methods for nanofluoride preparations [34,35,[43][44][45][46][47][48], including our systematic studies of phase formations in the BaF 2 -YF 3 [49], BaF 2 -BiF 3 [50], BaF 2 -ScF 3 [51], BaF 2 -CeF 3 [52], SrF 2 -YF 3 [53] and CaF 2 -HoF 3 [54] systems. We have observed varieties of phase fields in the studied MF 2 -YF 3 and NaF-RF 3 systems, including non-equilibrium phases with wide areas of homogeneity; we have also observed the absence of the ordered phases that exist under higher temperature equilibrium conditions [4].…”