By combining photoelectron spectra and photodetachment action spectra of I 2 Xe n clusters ͑n 1 12͒, we have identified bound extended excited electronic states. The critical size to the binding of such states is n . 4 5. The spatial confinement and the binding energy of the excited states increase monotonously with the cluster size. We discuss the analogy between these bound electronic states and the binding of excess electrons in the Xe 2 n clusters. This study introduces a new methodology for the investigation of empty bands in clusters, residing above or below the vacuum level, via the excitation of slightly perturbing impurity states. [S0031-9007(97)04337-8] PACS numbers: 36.40.Wa, 33.80.Eh, 36.40.Cg Ground state noble gas atoms with their closed shell do not bind electrons. In the bulk, however, the collective polarizability of the rare gas atoms induces the energetic stabilization of excess quasifree electrons (the bottom of the conduction band of solid xenon lies ഠ0.58 eV below the vacuum level [1]). Evidently, exceeding some size, xenon clusters bind excess electrons. These bound extended states are the precursors of the conduction band excess electrons in bulk xenon. As such, xenon clusters provide a classical model system in cluster science, where at some critical size the growing cluster acquires properties which are typical to the bulk and are not existent in smaller particles.Two groups have performed theoretical calculations [2,3], predicting the minimal xenon cluster size to bind an electron to be 6-7 atoms; Martyna and Berne [2] have applied diffusion Monte Carlo simulations using a pair-polarization model, finding that an electron would attach to a cluster as small as Xe 6 . Further calculations, taking into account the many-body polarization model, found the smallest cluster to bind an electron to be Xe 7 . Stampfli and Bennemann [3] have proposed a dielectric continuum model to calculate the electron affinity of small rare gas clusters and determined the critical cluster size to be Xe 6 Xe 9 . The experimental evidence for the existence of stable Xe 2 n was provided by Haberland and co-workers [4]. The existence of small Xe 2 n has been unambiguously demonstrated, yet the critical cluster size for electron binding in the ground state cluster was inconclusive (n 6 or smaller), due to the possible presence of electronically metastable Xe 2 n . In these experiments, the very low concentrations of clusters, resulting from their low electron binding energy, prevented further spectroscopic studies.We have studied the evolution of bound excess electron states in the xenon clusters by using I 2 Xe n clusters. In its ground state the electron is localized on the anion, which is solvated by the xenon cluster. The bare iodine anion does not support any bound excited state, and the localized impurity electron can be only photoexcited to the extended states in the xenon-iodine cluster. It is an analog process to the L-type excitations of F centers [5] into the conduction band, in alkali-halide crystals....