A time-dependent molecular orbital approach to electron transfer in ion–metal surface collisions

A time-dependent molecular orbital method has been developed to study charge transfer in collisions of ions with metal surfaces at energies between 1 and 100 au. A set of localized basis functions consisting of generalized Wannier functions for the surface and s- and p-atomic functions for the ion, is used to separate the system into primary and secondary regions. An effective Hamiltonian and time-dependent equations for the electron density matrix are obtained in the primary region, where most charge transfer occurs. The equations for the electron density matrix are solved with a linearization scheme. The method is suitable to study atomic orbital orientation for collisions of ions and surfaces. A model calculation for Na⁺ + W(110) collisions with a prescribed trajectory is presented. The interaction potentials between the W(110) surface and Na⁺ 3s and 3p orbitals are calculated from Na⁺ pseudopotentials. Results show that the yield of neutralized atoms in 3p states changes as the collision energy is lowered.