A 4.6 MeV/nucleon ${}_{}{}^{82}{}_{}{}^{}\mathrm{Kr}$ beam has been used to Coulomb excite ${}_{}{}^{82}{}_{}{}^{}\mathrm{Kr}$ in collisions with a thin ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ target. The backscattered projectiles were measured in a position sensitive avalanche detector centered around the beam axis. The gamma radiation was measured in four Ge(Li) detectors, in coincidence with the particles. The gamma ray spectra, after event-by-event Doppler shift correction, revealed 16 transitions in ${}_{}{}^{82}{}_{}{}^{}\mathrm{Kr}$ from the relative intensities of which a total of 22 electric quadrupole transition matrix elements have been deduced, by inserting the previously measured branching and mixing ratios. The level energies and E2 transition probabilities have been compared with the predictions of the asymmetric rotor, interacting boson, and Gneuss-Greiner models and nuclear field theory. On the basis of its energy and decay modes, the 1957 keV $2_3^{+}$ state is interpreted as the lowest state with lower F spin, F=$F_{\max \mathrm{-}1=2}$.

• Received 20 May 1985

DOI:https://doi.org/10.1103/PhysRevC.32.1521