The empirical spectra and $E2$ decay rates in ${}^{110,112,114,116}\mathrm{Cd}$ are shown to be consistent with a vibrational interpretation for low-lying normal states, coexisting with a single deformed $\gamma$-soft band of intruder states. The observed deviations from this paradigm show up in particular nonyrast states, which are properly described by a Hamiltonian with U(5) partial dynamical symmetry. The latter is characterized by a good (broken) symmetry in most (in selected) normal states, weakly coupled to intruder states.

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• Collective levels
• Electromagnetic transitions
• Nuclear structure & decays
• Shape coexistence
• Models based on symmetries