Abstract
The M\"ossbauer effect of the 26-keV gamma transition in ${\mathrm{Dy}}^{161}$ was employed to study hyperfine interactions in single crystals of DyES at 4.2\ifmmode^\circ\else\textdegree\fi{}K. The Dy nuclei experience a magnetic hyperfine interaction ${g}_{0}{\ensuremath{\beta}}_{N}{H}_{\mathrm{eff}}$ of -446\ifmmode\pm\else\textpm\fi{}12 Mc/sec, with ${H}_{\mathrm{eff}}$ parallel to the $c$ axis of the crystal. The hyperfine field and M\"ossbauer patterns (parallel and perpendicular to the $c$ axis) are readily interpreted in terms of the symmetry of the hyperfine interaction from the ground Kramers doublet. The measurement of the electric quadrupole interaction is of interest because the $4f$ contribution to the electric field gradient (EFG) is often dominant in rare-earth ions; however, for the ground doublet of DyES, this gradient is very small. This fact allowed a simple and direct measurement of the lattice contribution to the EFG. From this result the ratio $\frac{(1\ensuremath{-}{\ensuremath{\gamma}}_{\ensuremath{\infty}})}{(1\ensuremath{-}{\ensuremath{\sigma}}_{2})}$ was found to be 262, where ${\ensuremath{\gamma}}_{\ensuremath{\infty}}$ is the lattice Sternheimer factor and ${\ensuremath{\sigma}}_{2}$ represents the shielding of the $4f$ electrons from the crystalline field. The resolution of the paramagnetic hyperfine spectra was interpreted to show that electronic relaxation times were longer than ${10}^{\ensuremath{-}8}$ sec.
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