Magnetic and elastic vibrations in manganese–zinc spinel crystals as the functions of anisotropy constant

The amplitudes of magnetic and elastic vibrations for Mn$_{0.61}$Zn$_{0.35}$Fe$_{2.04}$O$_{4}$ spinel crystalline slab are calculated by solving the equations describing the magnetic and elastic dynamics. The anisotropy constants, magnetization, second-order elastic constants and magnetoelastic coupling constants for a studied crystal are expressed as the functions of temperature. The magnetization vector and elastic shear components are found as the functions of the first magnetic anisotropy constant at different values of an external constant magnetic field greater than a saturation field. The procession patterns for normally and tangentially magnetized slabs are displayed for two values of the first anisotropy constant. High absolute values of the first anisotropy constant are shown to refer to reorientation of the magnetization vector.