  We study neutral current neutrino-nucleus reaction cross-sections for Mn, Fe,
Co and Ni isotopes. An earlier study for a few selected nuclei has shown that
in the supernova environment the cross sections are increased for low energy
neutrinos due to finite-temperature effects. Our work supports this finding for
a much larger set of nuclei. Furthermore we extend previous work to higher
neutrino energies considering allowed and forbidden multipole contributions to
the cross sections. The allowed contributions are derived from large-scale
shell model calculations of the Gamow-Teller strength, while the other
multipole contributions are calculated within the Random Phase Approximation.
We present the cross sections as functions of initial and final neutrino
energies and for a range of supernova-relevant temperatures. These cross
sections will allow improved estimates of inelastic neutrino reactions on
nuclei in supernova simulations.
