Abstract
By an optical double-resonance experiment on $^{199}\mathrm{Hg}^{+}$, suspended in a rf quadrupole trap, we determined the ground-state hyperfine separation. Linewidths as small as 4 Hz have been observed. The final result of $\ensuremath{\Delta}{\ensuremath{\nu}}_{\mathrm{hfs}}=40507347997.8\ifmmode\pm\else\textpm\fi{}1.0$ Hz includes corrections to zero magnetic field and zero kinetic energy. The accuracy of the result and possible improvements lead to the feasibility of a new frequency standard in the microwave region.
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