We present the first experimental evidence for "disorder broadening" of core level x-ray photoemission line shapes in alloys. The broadening is attributed to variations in electrostatic potential. A model in which the charge on a site is assumed to be proportional to its number of unlike neighbors has recently been shown to greatly improve the calculated total energies of disordered alloys. This model predicts a broadening a factor of 2 larger than observed. We discuss this result in terms of short range order and a generalized charge model. [S0031-9007(97)03188-8] PACS numbers: 79.60.Ht, 71.23. -kSince the work of Madelung [1] the electrostatic energy of arrays of charges has attracted continued attention [2]. However, although the concepts of electronegativity and ionicity have had great historical importance in chemistry, solid state physicists are reluctant to consider "charge transfer" as this does not constitute a quantum mechanical observable and the concept is therefore vague and arbitrary. In recent years the inclusion of Madelung energies for disordered systems, previously assumed to be zero, has been shown to be essential to a truly ab initio description of the physical and electronic structure of random alloys [3,4], forcing a reexamination of the charge transfer picture. In particular, a model in which the charge on a site is determined by the local composition has gained increasing support [3][4][5] and has been used [6] to explain the structural stability of a wide range of compounds and alloys.In this Letter we present the first experimental study of the Madelung potential in random alloys. One expects that variation in local bonding configuration will give a distribution of potentials, but no such "disorder broadening" has previously been observed with core level x-ray photoelectron spectroscopy (XPS). We estimate the magnitude of disorder effects and present high resolution experimental data showing the first observation of disorder broadening in the core level XPS of random alloys. This comparison of theory and experiment goes to the heart of our understanding of the electronic structure and bonding in alloys, giving insight into local charge neutrality, short range order, and charge correlation.The electrostatic potential at lattice point i in a random alloy relative to the corresponding elemental solid can be expressed as a sum of intra-atomic and Madelung potentials,.(1)If Q is measured in units of e, the electronic charge, and the nearest neighbor distance R is in Å, then the potential is in volts. (We suppress the 14.4 factor in subsequent equations for brevity.) The first summation in the Madelung term is over concentric spheres with radius Rr m centered on site i, and the second is over the Z m sites in the mth shell. To characterize the distribution of potentials we first require a model for the charges Q i at each site. One may suppose that the Q i are determined by c i , the composition fraction for the species type at that site. For a random binary alloy A x B 12x charge neutrality r...