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This work addresses the negative ionization of hydrogen particles on metal surfaces with low work function, which is an important for the field of the surface plasma negative ion sources. The theoretical model for the calculation of the negative ionization probability which takes into account the component of atom/ion velocity, parallel to the surface is described. The influence of parallel velocity on the negative ionization probability for the case of surfaces with low work function is of interest, because for ordinary metal surfaces the parallel velocity effect can enhance the negative ionization probability by order of magnitude. The calculated ionization probabilities quantitatively fit to experimental data for wide range of ion energies. The theoretical analysis reveals, that in the case of low work function converter surfaces, the parallel velocity effect can enhance the negative ionization probability up to ~33%.