  The structure of the $^{24}$F nucleus has been studied at GANIL using the
$\beta$ decay of $^{24}$O and the in-beam $\gamma$-ray spectroscopy from the
fragmentation of projectile nuclei. Combining these complementary experimental
techniques, the level scheme of $^{24}$F has been constructed up to 3.6 Mev by
means of particle-$\gamma$ and particle-$\gamma\gamma$ coincidence relations.
Experimental results are compared to shell-model calculations using the
standard USDA and USDB interactions as well as ab-initio valence-space
Hamiltonians calculated from the in-medium similarity renormalization group
based on chiral two- and three-nucleon forces. Both methods reproduce the
measured level spacings well, and this close agreement allows unidentified
spins and parities to be consistently assigned.
