Nuclear Spin, Hyperfine Structure, and Nuclear Moments of 6.8-Day Lutetium-177

Abstract

The atomic-beam magnetic-resonance method has been used to measure the nuclear spin and hyperfine structure of 6.8-day ${\mathrm{Lu}}^{177}$ in the ground ${}_{}{}^2{}_{}{}^{}D_{\frac{3}{2}}^{}{}_{}{}^{}$ state and in the ${}_{}{}^2{}_{}{}^{}D_{\frac{5}{2}}^{}{}_{}{}^{}$ electronic state. The results are: $I=\frac{7}{2}$; ${}_{}{}^2{}_{}{}^{}D_{\frac{3}{2}}^{}{}_{}{}^{}$: $a=194.84\mathrm{}\left(2\right)\mathrm{}$ Mc/sec, $b=1466.71\mathrm{}\left(12\right)\mathrm{}$ Mc/sec; ${}_{}{}^2{}_{}{}^{}D_{\frac{5}{2}}^{}{}_{}{}^{}$: $a=147.17\mathrm{}\left(1\right)\mathrm{}$ Mc/sec, $b=1805.93\mathrm{}\left(14\right)\mathrm{}$ Mc/sec. The uncorrected nuclear moments for ${\mathrm{Lu}}^{177}$ calculated from these measurements and from known constants of ${\mathrm{Lu}}^{175}$ are: ${\mu }_I=+2.217\mathrm{}\left(10\right)\mathrm{}$ nm, $Q=+5.51\mathrm{}\left(6\right)\mathrm{}$ b.