The T=0 energy spectrum and the electromagnetic transitions of the S-3
2 nucleus are described in terms of the semimicroscopic algebraic clus
ter model. Si-28+alpha and O-16+O-16 configurations are considered for
the low-lying bands and molecular resonances, respectively. The clust
er configurations, including their Hamiltonians. are treated in a unif
ied framework. The densities of high-lying core-plus-alpha-particle st
ates are predicted in those energy windows, where good-resolution expe
riments have been carried out. [S0556-2813(98)06410-3].