βdecay ofF22

${}_{}{}^{22}{}_{}{}^{}\mathrm{F}$ was produced in the ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}({}_{}{}^6{}_{}{}^{}\mathrm{Li},2p){}_{}{}^{22}{}_{}{}^{}\mathrm{F}$ reaction using 26-MeV ${}_{}{}^6{}_{}{}^{}\mathrm{Li}_{}^{3+}{}_{}{}^{}$ ions. Following transfer of the target in a shuttle system, delayed $\gamma$ and $\beta$ rays were observed with Ge(Li) and NE102 plastic detectors. Several $\gamma$ rays from ${}_{}{}^{22}{}_{}{}^{}\mathrm{F}$ decay were observed, decaying with a half-life of 4.23 ± 0.04 sec. $\gamma -\gamma$ coincidence measurements have established that a 1900.0-keV transition terminates on a level in ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$ at 5523.4 keV, contrary to a previous study. The ground state of ${}_{}{}^{22}{}_{}{}^{}\mathrm{F}$ is of $J^{\pi }=4^{+}$ (with $3^{+}$ as a remote possibility) disagreeing with a previous assignment of $5^{+}$. Accurate excitation energies are presented for seven states in ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$. Experimental results compare favorably with full $2s-1d$ basis shell-model calculations of the $A=22\mathrm{}$ system.