Test of tetrahedral symmetry in theO16nucleus

Using a model based on tetrahedral symmetry a $J^{\pi }=3^{-}$ level is predicted to exist at 9.90 ± 0.07 MeV in the nucleus ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$. The new level is expected to be quite narrow with $\Gamma \sim 1$ keV and, because of its near degeneracy with a well known $2^{+}$ level, has presumably escaped detection. A brief discussion of the model predictions and the available experimental evidence for such a level is given. A more definitive experiment is suggested.