Rotational bands in ${}_{}{}^{76}{}_{}{}^{}\mathrm{Rb}$

High spin states in ${}_{}{}^{76}{}_{}{}^{}\mathrm{Rb}$ were investigated via the reaction ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$${(}^{40}$Ca,3pn${)}^{76}$Rb at 128 MeV. The level scheme was established from γγ, γγγ and recoil-γ coincidences measured in the EUROGAM I array in combination with the Daresbury recoil separator. The known rotational bands were extended up to the excitation energy ${\mathit{E}}_{\mathit{x}}$≊9.2 MeV and spins ${\mathit{I}}^{\mathrm{\pi }}$=(${21}^{+}$) and (${19}^{\mathrm{-}}$). The band head energies could be fixed by many interband transitions. Two new bands were identified. The level scheme is discussed in terms of the cranked shell model. In the negative parity bands ${}_{}{}^{76}{}_{}{}^{}\mathrm{Rb}$ behaves like a rigid rotor until the first band crossings.