Previously published 2-body and 3-body terms for an n-valued represent
ation of the potential functions of He-n(+) have been used to examine
the structures of larger clusters. For n = 3-8 the most stable structu
re has a linear He-3(+) core surrounded by weakly bound, nearly neutra
l atoms, with up to four lying in an equatorial plane. Such structures
persist as metastable species up to n = 12. For n > 8 the most stable
structure consists of a He-2(+) core with up to nine atoms closely at
tached. The first excited state is predicted to have a vertical excita
tion energy of between 5.5 eV and 5.9 eV, changing little with n. This
is in broad agreement with experimental observations.