Electric quadrupole moment of the5dD3∕22state inYb+171: A relativistic coupled-cluster analysis

The electric quadrupole moment for the $5d{}^{2}D_{3∕2}$ state of ${}^{171}\mathrm{Yb}^{+}$, has been calculated using the relativistic coupled-cluster method. Earlier a similar calculation was performed for the $4d{}^{2}D_{5∕2}$ state of ${}^{88}\mathrm{Sr}^{+}$ which is the most accurate determination to date [Sur et al., Phys. Rev. Lett. 96, 193001 (2006)]. The present calculation of the electric quadrupole moment of ${}^{171}\mathrm{Yb}^{+}$ yielded a value $2.157e{a}_0^2$ where the experimental value is $2.08\left(11\right)e{a}_0^2$; $a_0$ is the Bohr radius and $e$ the elementary charge. We discuss in this paper our results for ${}^{171}\mathrm{Yb}^{+}$ in detail and highlight the dominant correlation effects present. We have presented the effect of inner core excitations and their contribution to the electric quadrupole moment, which is a property sensitive to regions away from the nucleus.