Shell-model calculations for the $A=24\mathrm{}$, $T=2\mathrm{}$ system are presented which use an empirically modified version of Kuo's realistic two-body interaction and a large, but truncated, $\mathrm{sd}$-shell basis space. Using the same two-body matrix elements, single-particle energies and effective charges that were found to be successful in the full $\mathrm{sd}$ space for $A=19\mathrm{}-22$, good agreement with experimental measurements is obtained for ${}_{}{}^{24}{}_{}{}^{}\mathrm{Ne}$ levels and other members of the $A=24\mathrm{}$, $T=2\mathrm{}$ system. Some predictions are made for the unreported isotope ${}_{}{}^{24}{}_{}{}^{}\mathrm{Si}$.

• Received 2 March 1973

DOI:https://doi.org/10.1103/PhysRevC.8.241