We present a kinetic model for optical pumping in ${\mathrm{Lu}}^{+}$ and ${\mathrm{Lr}}^{+}$ ions as well as a theoretical approach to calculate the transport properties of ${\mathrm{Lu}}^{+}$ in its ground ${}^{1}S_0$ and metastable ${}^{3}D_1$ states in helium background gas. Calculations of the initial ion state populations, the field and temperature dependence of the mobilities and diffusion coefficients, and the ion arrival time distributions demonstrate that the ground- and metastable-state ions can be collected and discriminated efficiently under realistic macroscopic conditions.

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• Optical pumping