The interpretation of both of these indexes allows for the characterization of the computed transitions. In short, a large value of σ 0→n and Γ 0→n rules a plasmon-like or collective state. Since our current implementation does not give access to the dipole additivity of the transition, we cannot state between both of them. However, for bare noble metal nanoclusters, the probability remains high to find a plasmon-like instead of a collective state character, the latter being much more present in thiolated ligand-protected nanostructures than in bare ones. In the following, we will thus characterize a plasmon-like state as a state with a large value of σ 0→n and Γ 0→n . Then, a large value of σ 0→n and low value of Γ 0→n designates a single-particle state character for the transition. It corresponds to a resonant-less excitation of electrons of the conduction band. Finally, a low value of σ 0→n , independently of the value of Γ 0→n , characterizes an interband state. Such a transition is a valence excitation which involve valence occupied orbitals, typically (n -1)d shells, and conduction unoccupied orbitals.