Abstract:
The spectra of complex permittivity of a Ba$_2$Mg$_2$Fe$_{12}$O$_{22}$ single crystal belonging to the family of $Y$-type hexaferrites have been measured over a wide temperature range (10–300 K) with the aim of determining the dynamic parameters of the phonon and magnetic subsystems in the terahertz and infrared frequency ranges (3–4500 cm$^{-1}$). A factor-group analysis of the vibrational modes has been performed, and the results obtained have been compared with the experimentally observed resonances. The oscillator parameters of all nineteen phonon modes of $E_u$ symmetry, which are allowed by the symmetry of the Ba$_2$Mg$_2$Fe$_{12}$O$_{22}$ crystal lattice, have been calculated. It has been found that, at temperatures below 195 and 50 K, the spectral response exhibits new absorption lines due to magnetic excitations.