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The yrast states of transitional nuclei are described as quadrupole wavesrunning over the nuclear surface, which we call tidal waves. In contrast to arotor, which generates angular momentum by increasing the angular velocity atapproximately constant deformation, a tidal wave generates angular momentum byincreasing the deformation at approximately constant angular velocity. Theproperties of the tidal waves are calculated by means of the cranking model ina microscopic way. The calculated energies and E2 transition probabilities ofthe yrast states in the transitional nuclides with $Z$= 44, 46, 48 and $N=56,58, ..., 66$ reproduce the experiment in detail. The nonlinear response of thenucleonic orbitals results in a strong coupling between shape and singleparticle degrees of freedom.

Tidal waves as yrast states in transitional nuclei