Doubly charged helium cluster ions Kr2+-He-n (n less than or equal to 40) h
ave been produced when Kr2+ ions are injected into helium gas cooled by liq
uid helium. Magic numbers n = 12 and 32 have been observed in the size dist
ribution of these cluster ions. These magic numbers suggest the shell struc
ture in which an icosahedron consisting of twelve helium atoms performs as
a core in the cluster ion. Not only the clustering, charge transfer between
Kr2+ and He also takes place as a competitive reaction of the cluster form
ation. Behavior of each electronic states of the incident ions in collision
s with helium have been discussed on a crude potential crossing model.