Nuclear magnetic moments of very short-lived states via the transient-field implantation perturbed-angular-correlation technique

The Lindhard and Winther equations for the transient magnetic field effect have been numerically integrated with the inclusion of a decays-in-flight correction and using the best available stopping power formulas. The calculations are carried out for an iron host and curves are generated from which the transient-field angular shift may be predicted for any $Z>\mathrm{}12\mathrm{}$ to an accuracy of ∼ 20%. The transient-field calculations are employed in the analysis of angular shift data for the first $2^{+}$ states of ${}_{}{}^{104}{}_{}{}^{}\mathrm{Pd}$, ${}_{}{}^{106}{}_{}{}^{}\mathrm{Pd}$, ${}_{}{}^{108}{}_{}{}^{}\mathrm{Pd}$, and ${}_{}{}^{110}{}_{}{}^{}\mathrm{Pd}$ isotopes implanted into an ${\mathrm{Fe}}_{0.8}$-${\mathrm{Co}}_{0.2}$ alloy and for ${}_{}{}^{54}{}_{}{}^{}\mathrm{Fe}$ and ${}_{}{}^{56}{}_{}{}^{}\mathrm{Fe}$ implanted into iron. The $g$ factors of the six isotopes are obtained and the hyperfine field of Pd in the alloy is determined. Evidence is presented which suggests that the hyperfine fields measured in oxygen beam implantation perturbed-angular-correlation experiments for Ru, Pd, Cd, and Te in Fe are consistently reduced from the hyperfine fields measured by other methods. In light of these results and the decays-in-flight corrections to the transient-field theory, angular shift data of previous workers on even-even isotopes of Ge, Ru, Pd, Cd, and Te have been reanalyzed. With the exception of ${}_{}{}^{70}{}_{}{}^{}\mathrm{Ge}$, all the $g$ factors are in agreement with a collective model.