The compound nucleus model is employed to calculate neutron capture on $$^{76}$$
76
Ge and the consecutive $$\gamma $$
γ
decay. Total, inelastic and capture cross sections are compared to experiments in order to restrict model parameters. The respective $$\gamma $$
γ
cascades are analyzed for possible background suppression schemes in future $$0\nu \beta \beta $$
0
ν
β
β
decay searches with germanium detectors. Neutron energies in the range from 0.2 keV to 5 MeV are investigated. The spin dependence of the $$\gamma $$
γ
cascades is proposed to be employed for determining the spin of thermal resonances.