The stopping of swift nonrelativistic heavy ions has been analyzed the
oretically as a function of the projectile charge q(1). Excitation and
ionization of target electrons are described within Bohr's classical
theory and the limitations toward Bethe's quantal description are outl
ined. For oxygen ions in carbon the Bethe regime is found to be confin
ed to the velocity range where the ion is essentially stripped in char
ge equilibrium. The effect of projectile electrons is taken into accou
nt mainly via screening of the Coulomb interaction, but excitation of
projectile electrons is discussed briefly. The significance of project
ile screening hinges on a parameter s that parameters and varies subst
antially over the electron shells of the target. Calculated fixed-char
ge stopping cross sections agree well with measured values in absolute
magnitude and in their variation with charge state. q(1)(2) scaling f
requently has been assumed in the literature. A continuous transition
is predicted between such scaling and a stopping power that is almost
independent of the projectile charge.