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Measurement of the $^{138}$Ba$^+$ ${}^2S_{1/2} - {}^2D_{5/2}$ clocktransition frequency and $D_{5/2}$ Land\'e $g_J$ factor are reported. The clocktransition frequency$\nu_{\mathrm{Ba}^+}=170\,126\,432\,449\,333.31\pm(0.39)_\mathrm{stat}\pm(0.29)_\mathrm{sys}\,$Hz,is obtained with accuracy limited by the frequency calibration of the maserused as a reference oscillator. The Land\'{e} $g_J$-factor for the${}^2D_{5/2}$ level is determined to be $g_{D}=1.200\,367\,39(24)$, which is a30-fold improvement on previous measurements. The $g$-factor measurements arecorrected for an ac-magnetic field from trap-drive-induced currents in theelectrodes, and data taken over a range of magnetic fields underscores theimportance of accounting for this systematic.

Precision measurements on the $^{138}$Ba$^+$ $6s^2S_{1/2}-5d^2D_{5/2}$ clock transition