Mobility of O$^{+}$ in He, Ne and Ar and Interaction Potentials of HeO$^{+}$, NeO$^{+}$ and ArO$^{+}$

New experimental measurements are reported for the mobility of O$^{+}$ ions in He, Ne and Ar gases at 300 K. \ The accuracy of these new values is estimated as $\pm $% 2.5\%, which allows them to serve as a stringent test of new \textit{ab initio} potentials that we have calculated using the RCCSD(T) method. \ We employied the aug-cc-pV5Z basis set with counterpoise corrections and took spin-orbit coupling into account. \ The present expeimental values for O$^{+}$ in He lie below the calculated ones, but the difference becomes statistically significant only at moderate and high values of the ratio of the electric field strength to the gas number density; even there they are only marginally signficant. For O$^{+}$ in Ne the experimental values lie clearly below the theoretical curve and for O$^{+}$ in Ar the ion mobility dependence has clear minima in addition to the maximum shown in the other rare gases.