Hyperfine Structure and Nuclear Moments ofLu175

The hyperfine structures of the $5d6s^2{}_{}{}^2{}_{}{}^{}D_{\frac{3}{2}}^{}{}_{}{}^{}$ ground state of ${\mathrm{Lu}}^{175}$ and its associated ${}_{}{}^2{}_{}{}^{}D_{\frac{5}{2}}^{}{}_{}{}^{}$ metastable state have been studied by means of the atomic beam magnetic resonance method. Radio-frequency transitions belonging to seven of the eight hfs intervals have been measured, as well as low-frequency ($\Delta F=0\mathrm{}$) transitions at various magnetic fields in both states. The analysis of these data by means of an electronic computer yields not only precise values for the different interaction constants and the electronic $g$ factors, but also the first directly measured value for the nuclear $g$ factor of ${\mathrm{Lu}}^{175}$. The results are as follows ${}_{}{}^2{}_{}{}^{}D_{\frac{3}{2}}^{}{}_{}{}^{}$: $A=194.3316\mathrm{}\pm 0.0004$ Mc/sec, $B=1511.4015\mathrm{}\pm 0.0030$ Mc/sec, $g_J=-0.79921\mathrm{}\pm 0.00008$, ${g_I}^{\prime }=+(3.50\mathrm{}\pm 0.16)\times {10}^{-4\mathrm{}}$ (with ${\mu }_I$ expressed in Bohr magnetons), whence ${\mu }_I=+(2.25\mathrm{}\pm 0.10)$ nm. ${}_{}{}^2{}_{}{}^{}D_{\frac{5}{2}}^{}{}_{}{}^{}$: $A=146.7790\mathrm{}\pm 0.0008$ Mc/sec, $B=1860.6480\mathrm{}\pm 0.0080$ Mc/sec, $g_J=-1.20040\mathrm{}\pm 0.00016$, ${g_I}^{\prime }=+(3.13\mathrm{}\pm 0.24)\times {10}^{-4\mathrm{}}$ (with ${\mu }_I$ expressed in Bohr magnetons), whence ${\mu }_I=+(2.01\mathrm{}\pm 0.15)$ nm.