Low- and intermediate-spin negative-parity band structures have been investigated in the ${}^{82}\mathrm{Kr}$ nucleus using the fusion-evaporation reaction ${}^{76}\mathrm{Ge}$ (${}^9\mathrm{Be}, 3n$) at $E_{\text{Lab}}\approx 31$ MeV. Lifetimes of the states of interest in ${}^{82}\mathrm{Kr}$ have been measured using the Doppler shift attenuation method with the help of the Indian National Gamma Array, and the parity of the states has been confirmed from polarization measurements. The deduced $B$($M1$) and $B$($E2$) values from the lifetime measurements in comparison with the particle rotor model and the total Routhian surfaces calculations reveal that the bands DB1 and DB2 are based on the collective oblate and prolate deformed core, respectively. The enhanced electric dipole strengths, $B\left(E1\right)\mathrm{s}$, and dipole moments, $|D_0|\mathrm{s}$, for the parity-changing transitions connecting the negative-parity bands DB1 and DB2 to the ground-state positive-parity band QB1 ensure the octupole correlation in ${}^{82}\mathrm{Kr}$.

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• Collective levels
• Electromagnetic transitions
• High spin states
• Nuclear spin & parity
• Nuclear structure & decays
• Shell model
• 59 ≤ A ≤ 89