  The level structures of $^{212}$Ra and $^{213}$Ra have been established via
time-correlated $\gamma$-ray spectroscopy following the
$^{204}$Pb($^{12}$C,4$n$)$^{212}$Ra and $^{204}$Pb($^{13}$C,4$n$)$^{213}$Ra
reactions. In $^{212}$Ra, levels up to $\sim 6.2$ MeV were identified and firm
spin-parity assignments were achieved to a $J^{\pi} = 19^+$ isomer with a mean
life of 31(3) ns. For $^{213}$Ra the corresponding values were $\sim 4.5$ MeV
in excitation energy and $J^{\pi} = 33/2^+$. Two isomeric states with $J^\pi =
23/2^+$, $\tau = 27(3)$ ns and $J^\pi = 33/2^+$, $\tau = 50(3)$ ns were
discovered in $^{213}$Ra. The experimental data were compared with
semiempirical shell-model calculations, which allowed dominant configurations
to be assigned to most of the observed levels.
