Recently we proposed a new semiempirical analytical parametrization for the
shape of ionization cross sections resulting from collisions of ions with
various projectiles [1]. It was shown that the incorporation of the correct
threshold behaviour as given by the Wannier theory is the crucial point to
obtain good agreement with experimental results from threshold to high ene
rgies and leads to a unified view of collision processes in very different
systems. While the shape of the cross sections as given by this parametriza
tion already compares favourably with the experiment, a simple extension of
the formula leads to an even more accurate description for electron-impact
ionization of ions [2]. Using recent results from an extended Wannier theo
ry for multiple ionization [3,4], tests of similar parametrizations for mul
tiple ionization processes become feasible.