Inelastic neutron scattering on a d1-d1-2 mixed-valence trimer cluster

We have carried out the calculations for inelastic neutron scattering spectra for thermal neutrons scattering on amixed-valence trimer d1-d1-d2 cluster, and we have investigated the selection rules. The forbidden transitions include the A1 ↔ A2 transitions, independently of spin, as well as the1A2 ↔1E transition. The rest of the transitions with ΔS = 0, 1 are allowed, and in turn are subdivided according to intensity into “strong” and “weak” transitions. The scattering cross sections of the latter include the differences in the form factors of the mixedvalence ions (the indicated form factors are close) and are small in magnitude. The scattering cross sections and the line positions in the spectrum depend considerably on the tunneling and exchange parameters of the cluster.