“…It was known that for a single crystal DyF 3 the temperature of ferromagnetic ordering is 2.55 K, 7 for a microsized powder DyF 3 it is 2.54 K, 11 and for the particle size of 16-18 nm and 5 nm, the ferromagnetic phase transition was not observed down to a temperature of 1.8 K. 11,12 Recent studies have shown that with a decrease in the average particle size from 225 nm to 28 nm, the T C shifts from 2.45 K to 2.12 K according to a power law. 10 From the finite-size-scaling theory the diameter of nanoparticles d 0 = 1.2 nm was determined, at which the transition to the ferromagnetic state becomes impossible.…”