The detailed excitation functions for ${}^{13}\mathrm{C}(\alpha ,\alpha )$ elastic scattering and the additional thick target inverse kinematics measurements were analyzed using the $R$ matrix approach. The analysis covered the excitation region in ${}^{17}\mathrm{O}$ from 8.6 up to 11.2 MeV. Information on single particle widths of the levels in the ${}^{17}\mathrm{O}$ nucleus and shell model calculations are in good agreement. A comparative analysis of the $\alpha$-cluster structures of ${}^{16}\mathrm{O}$ and ${}^{17}\mathrm{O}$ nuclei indicates their common underlying nature. However, the structure in ${}^{17}\mathrm{O}$ is more complex. In particular, each $\alpha$-cluster level with spin $J$ in ${}^{16}\mathrm{O}$ corresponds to several levels with spins $J=\pm 1/2$ in ${}^{17}\mathrm{O}$. Unexpectedly, the reduced-width-weighted centroids of the higher-spin members of these doublets always lie at lower excitation energies in ${}^{17}\mathrm{O}$.

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• Elastic scattering reactions
• Energy levels
• H & He induced nuclear reactions
• Nuclear reactions
• 6 ≤ A ≤ 19
• Shell model