Abstract
The ground-state hyperfine splitting of the $^{137}\mathrm{Ba}^{+}$ ion has been measured with a precision of 4.6 \ifmmode\times\else\texttimes\fi{} ${10}^{\ensuremath{-}11}$. About ${10}^{5}$ ions were confined in a rf quadrupole trap for many hours. Hyperfine pumping was achieved by a pulsed tunable dye laser and transitions between the Zeeman sublevels were induced by microwaves, locked to a primary frequency standard. The transitions were detected via changes in the ionic fluorescence perpendicular to the laser beam. The final result is ${W}_{\mathrm{hfs}}=8037741667.69(0.36)$ Hz. The uncertainty stems in about equal parts from the extrapolation to zero electric and magnetic field strength.
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