Time-dependent relativistic mean field theory is used to describe the
dynamics of Coulomb excitations of nuclei. As an example we consider t
he nucleus O-16. At small incident energies of the projectile we obser
ve isovector dipole oscillations that correspond to the giant dipole r
esonance. With increasing excitation energy, the motion becomes increa
singly anharmonic, and finally a full dissociation of O-16 into proton
and neutron clusters is observed.