Abstract
By means of an electron diffraction technique, crystal-lattice modulations were investigated for a hexaferrite, Ba${}_{0.5}$Sr${}_{1.5}$Zn${}_{2}$Fe${}_{12}$O${}_{22}$, showing a helimagnetic order below ${T}_{\mathrm{N}}=320$ K. We observed a lattice modulation with a wave vector $\text{Q}=(0,0,3\ensuremath{\delta})$ below ${T}_{\mathrm{N}}$. The value of $\ensuremath{\delta}$ varies between $~0.23$ and 0.5 as a function of temperature and corresponds well to that of the magnetic modulation vector. By applying magnetic fields, Ba${}_{0.5}$Sr${}_{1.5}$Zn${}_{2}$Fe${}_{12}$O${}_{22}$ was found to exhibit successive changes in the lattice modulation, accompanied by the modifications of the helical magnetic order. We concluded that the observed lattice modulation is induced by the helical magnetic order via exchange magnetostriction.
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