Specific features of the crystal structure and magnetic properties of the DyFeTi$_2$O$_7$ compound

Results of studying the specific features of formation of the crystal structure and distribution of iron cations over the sites in the DyFeTi$_2$O$_7$ compound have been presented and the comparison with the DyFeTi$_2$O$_7$ isostructural compound has been performed. The atomic disorder in the distribution of the Fe$^{3+}$ ions over structural sites in the DyFeTi$_2$O$_7$ compound is confirmed by the Mössbauer spectroscopy and X-ray diffractometry. The results of magnetic measurements in the low-temperature region have revealed an inflection point in the temperature dependence of the magnetic moment and its dependence on the magnetic prehistory of the sample. The obtained experimental data suggest that there is a spin glass state with freezing point $T_f$ = 6 K in the DyFeTi$_2$O$_7$ compound.