Comparison of Inelastic Electron Scattering with ${[g_{\frac{9}{2}}\otimes {\left({f_{\frac{7}{2}}}^{-3\mathrm{}}\right)}_J]}_{8^{-}}$ Shell-Model Calculations for the $T=1\mathrm{}$ and $T=2\mathrm{}$, $8^{-}$ States in ${}_{}{}^{54}{}_{}{}^{}\mathrm{Fe}$

Inelastic electron scattering is used to identify $M8\mathrm{}$ transitions and assign $J^{\pi }=8^{-}$ to states at $E_x=8.314, 8.949, 9.974, 10.677, \mathrm{and} 13.263$ MeV excitations. Shell-model calculations within the model space ${[g_{\frac{9}{2}}\otimes ({f_{\frac{7}{2}}}^{-3\mathrm{}}\left)\right]}_{8^{-}}$ suggest that the four lowest states are $T=1\mathrm{}$ and the strongest excitation, to the state at 13.263 MeV, is $T=2\mathrm{}$.