By combining photoelectron spectra and photodetachment action spectra
of I-Xen clusters (n = 1-12), we have identified bound extended excite
d electronic states. The critical size to the binding of such states i
s n > 4-5. The spatial confinement and the binding energy of the excit
ed stales increase monotonously with the cluster size. We discuss the
analogy between these bound electronic states and the binding of exces
s electrons in the Xe-n(-) clusters. This study introduces a new metho
dology for the investigation of empty bands in clusters, residing abov
e or below the vacuum level, via the excitation of slightly perturbing
impurity states.