Optical Detection of Level Crossing in the(5s5p)P13State ofCd111andCd113

Abstract

The magnetic field at which crossing occurs for the $〉\left|F, m_F\right)=〉\left|\frac{3}{2}, \frac{3}{2}\right) \mathrm{and} 〉\left|\frac{1}{2}, -\frac{1}{2}\right)$ hyperfine levels of the $\mathrm{}\left(5s5p\right)\mathrm{}{}_{}{}^3{}_{}{}^{}P_1^{}{}_{}{}^{}$ state of ${\mathrm{Cd}}^{111}$ and ${\mathrm{Cd}}^{113}$ has been measured to high precision by observing the change in intensity at an angle of 90° of the resonance fluorescence of the 3261 Å intercombination line. The measured crossing fields, in units of the nuclear magnetic resonance frequency of protons in mineral oil, are ${H_c}^{111}=8363.408\mathrm{}\left(30\right)\mathrm{}$ kc/sec, ${H_c}^{113}=8748.734\mathrm{}\left(20\right)\mathrm{}$ kc/sec. Using these results and the known values of the $\mathrm{}\left(5s5p\right)\mathrm{}{}_{}{}^3{}_{}{}^{}P_1^{}{}_{}{}^{}$ hyperfine interval for the two isotopes, we find that the Lánde $g_J$ factor for this state is ${g_J}^{111}=\frac{3}{2}-160\mathrm{}\left(9\right)\mathrm{}\times {10}^{-6\mathrm{}}$, ${g_J}^{113}=\frac{3}{2}-146\mathrm{}\left(9\right)\mathrm{}\times {10}^{-6\mathrm{}}$. These results include corrections for second-order interaction with the adjacent fine-structure levels of the $5s5p$ configuration.