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The electron exchange between negative hydrogen ion and nanosystems, like thin metallic films or thin island films, is considered. The quantum calculations show that electron transfer rate depends on ion-surface distance and structure of discrete energy levels inside the nanosystem. The latter depends on nanosystem size. Such features of electron exchange as electron transfer rate, probability of electron transfer, propagation velocity and average coordinate of electron location inside the film are calculated by means of time-dependent Schrodinger equation. It is interesting to note, that these features can be rather well approximated by means of simple linear model of electron propagation.