Magnetic Moment and Spin of 6.9-hMom93

Nuclei of ${}_{}{}^{93}{}_{}{}^{}\mathrm{Mo}_{}^m{}_{}{}^{}$ were oriented in an iron lattice at temperatures down to 7 mK. Anisotropic angular distributions were observed for the 263-, 1477-, and 685-keV $\gamma$ rays. The form of the angular distributions confirmed the spin-multipolarity sequence ${\frac{21}{2}}^{+} \mathrm{}\left(M4\mathrm{}\right)\mathrm{}{\frac{13}{2}}^{+} \mathrm{}\left(E2\mathrm{}\right)\mathrm{}{\frac{9}{2}}^{+} \mathrm{}\left(E2\mathrm{}\right)\mathrm{}{\frac{5}{2}}^{+}$ for the isomeric decay. Their temperature dependences yielded the nuclear moment. Magnetic resonance measurements [NMR/ON (NMR with oriented nuclei)] were also performed, yielding a resonance at 170.5(4) MHz with a 1-kOe external polarizing field present. Comparison of the derived $g$ factor with the moment from anisotropy data establishes the spin of ${}_{}{}^{93}{}_{}{}^{}\mathrm{Mo}_{}^m{}_{}{}^{}$ as $\frac{21}{2}$. The final value of the magnetic moment is $\left|\mu \mathrm{}\right|=9.21\left(20\mathrm{}\right)\mathrm{}{\mu }_N$, assumed positive, with the error arising almost entirely from the uncertainty in the hyperfine field. Direct-field orientation in a 44-kOe field at 9 mK gave results in rough agreement. The measured moment confirmed the structure of the ${\frac{21}{2}}^{+}$ state as ${[\left(\pi g_{\frac{9}{2}}\right)_8^{}{}_{}{}^2; \nu d_{\frac{5}{2}}]}_{\frac{21}{2}}$. The derived value of the proton $g_{\frac{9}{2}}g$ factor agrees well with trends in the $Z=40\mathrm{}-45$ region, but not with the $g$ factor of the $8^{+}$ state in ${}_{}{}^{92}{}_{}{}^{}\mathrm{Mo}$.