Stopping forces on swift heavy ions have been evaluated theoretically, with
an emphasis on the velocity regime where screening due to electrons bound
to the projectile cannot be neglected. Bohr's classical theory is an approp
riate starting point, but major complications arise from higher-order Z (1)
effects, shell correction and projectile excitation/ionization. These effe
cts have now beeen accounted for, and good agreement is being achieved with
experimental results over a wide velocity range without introduction of ad
justable parameters.