Discrete image-potential state (IS) resonances at Co nanoislands on Au(111) are probed using scanning tunneling microscopy and spectroscopy. We observe particle-in-box-type standing wave patterns, which is surprising in view of the high energy of the IS electrons when compared to the confining potential imposed by the island edges. The weak confining potential experienced by the IS electrons results in electronic interaction effects between closely spaced islands. Probing high-energy ISs hence provides a novel route to investigate electronic coupling between nanoislands on surfaces. DOI: 10.1103/PhysRevLett.103.266805 PACS numbers: 73.22.Àf, 68.37.Ef, 73.20.At Image-potential states provide an ideal playground for investigation of fundamental physical properties such as the dynamics of excited surface electrons. Image-potential state (IS) electrons are confined along the surface normal by the crystal surface potential at one side and by the Coulomblike image potential at the vacuum side [1,2]. This results in the formation of hydrogenlike states, in which electrons act as a two-dimensional (2D) freeelectron-like gas that can move freely along the surface [3]. The interaction of IS electrons with underlying bulk state electrons causes the ISs to broaden into resonances. This interaction has been studied intensively by means of two-photon photoemission spectroscopy (2PPE), yielding valuable information about the dynamics and lifetime of IS electrons [3,4], as well as about the influence of insulating top layers [5] and of nanostructuring [6] on the work function of metallic surfaces.Whereas 2PPE experiments provide area-averaged information, scanning tunneling microscopy (STM) and scanning tunneling spectroscopy (STS) allow local investigation of IS phenomena with high spatial and energy resolution. Soon after the invention of the scanning tunneling microscope, STM and STS in the distance-voltage zðVÞ spectroscopy mode were introduced to study ISs at surfaces [7]. In this mode the tunneling voltage V is ramped while the tunneling current I is kept constant by increasing the distance z of the STM tip to the substrate as more and more (image-potential) states become available for tunneling. Figure 1 presents a schematic energy diagram of an STM tip in close vicinity of a metal surface. Because of the applied electric field between STM tip and sample, the ISs shift to higher energies and their energy spacings expand. It has been demonstrated that tunneling via ISs allows detailed visualization of the surface of insulating diamond films with atomic resolution [8]. IS dynamics has recently been investigated for various flat surfaces, including Fe [9], Au [10] and Cu surfaces [10,11]. While the idea has been put forward before [11,12], experimental observation of ISs confined at nanosize metallic particles is still lacking.To the best of our knowledge, so far only circularly shaped Na nanoislands on Cu(111) surfaces have been studied theoretically [12].In this Letter we report on a detailed experimental study of ISs...