  We have employed non-adiabatic molecular dynamics based on time-dependent
density-functional theory to characterize the scattering behaviour of a proton
with the Li$_4$ cluster. This technique assumes a classical approximation for
the nuclei, effectively coupled to the quantum electronic system. This
time-dependent theoretical framework accounts, by construction, for possible
charge transfer and ionization processes, as well as electronic excitations,
which may play a role in the non-adiabatic regime. We have varied the incidence
angles in order to analyze the possible reaction patterns. The initial proton
kinetic energy of 10 eV is sufficiently high to induce non-adiabatic effects.
For all the incidence angles considered the proton is scattered away, except in
one interesting case in which one of the Lithium atoms captures it, forming a
LiH molecule. This theoretical formalism proves to be a powerful, effective and
predictive tool for the analysis of non-adiabatic processes at the nanoscale.
