Lande g-factor measurements for the 5d6s 3D2 hyperfine levels of 176Lu+

Abstract

We report measurements of the Lande g-factors for the 5d6s ${}^3$D${}_2$ hyperfine levels of ${}^{176}$Lu${}^{+}$ to a fractional inaccuracy of $5\times 10^{-7}$. Combining these measurements with theoretical calculations allows us to estimate hyperfine-mediated modifications to the quadrupole moments for each state and infer a value of $\delta \Theta =1.59(34)\times 10^{-4}e{a}_0^2$ for the residual quadrupole moment of the ${}^1{S}_0\leftrightarrow {}^3{D}_2$ hyperfine-averaged clock transition.