Nuclear Magnetic Resonance on OrientedRhm101

The 4.3-day isomer of ${}_{}{}^{101}{}_{}{}^{}\mathrm{Rh}$ was oriented in nickel metal by the thermal equilibrium nuclear orientation technique at temperatures down to 3 mK. From an analysis of the temperature dependence of the anisotropies of the 306.8- and 544.8-keV $\gamma$ rays of ${}_{}{}^{101}{}_{}{}^{}\mathrm{Ru}$, the $\frac{E2\mathrm{}}{M1\mathrm{}}$ mixing ratios of these two $\gamma$ transitions, $\delta \mathrm{}\left(306.8\right)=-0.10\mathrm{}\pm 0.05$ and $\delta \mathrm{}\left(544.8\right)=-0.98\mathrm{}\pm 0.10$, as well as the magnetic hyperfine interaction of $\mathrm{Ni}\left({}_{}{}^{101}{}_{}{}^{}\mathrm{Rh}_{}^m{}_{}{}^{}\right)$, $\left|\mu \mathrm{H}\right|=(6.2\mathrm{}\pm 0.2)\times {10}^{-18\mathrm{}}$ erg, could be derived. In addition, the previously assigned spins of the respective nuclear states of ${}_{}{}^{101}{}_{}{}^{}\mathrm{Ru}$ at 306.8 and 544.8 keV were both confirmed as 7/2. Nuclear magnetic resonance on oriented Ni(${}_{}{}^{101}{}_{}{}^{}\mathrm{Rh}$) was observed in an external polarizing field of 1 kOe at a resonance frequency of 206.2 ± 0.4 MHz, yielding a magnetic hyperfine splitting of $\left|\frac{\mu \mathrm{H}}{I}\right|=(1.366\mathrm{}\pm 0.003)\times {10}^{-18\mathrm{}}$ erg. As a result both the spin and the magnetic moment of ${}_{}{}^{101}{}_{}{}^{}\mathrm{Rh}_{}^m{}_{}{}^{}$ could be determined as $I=\frac{9}{2}$ and $\mu \left(\frac{9}{2}\right)=(+)\mathrm{}{(5.51\mathrm{}\pm 0.09)}_{{\mu }_B}$, corresponding to a nuclear $g$ factor of $g\left(\frac{9}{2}\right)=1.22\mathrm{}\pm 0.02$. The results confirm the interpretation of ${}_{}{}^{101}{}_{}{}^{}\mathrm{Rh}_{}^m{}_{}{}^{}$ as a $1g_{\frac{9}{2}}$ proton state. The derived value of the $g$ factor is compared with $g$ factors of other $g_{\frac{9}{2}}$ proton states in the neighborhood of the magic proton number 40, and it is found to fit well into the...