The absolute values of solids' surface energies are among the least well-known physical quantities, despite their fundamental importance. Experimental values obtained by various methods often differ by over 100%, mostly because the measurements are indirect and complicated. Reliable computational methods for predicting surface energies would therefore be extremely valuable. Here we assess the utility of using exact exchange (EXX) in conjunction with the many-electron perturbation theory extension of density functional theory, i.e., the random phase approximation (RPA), when predicting surface energies. The EXX + RPA approach was used to calculate the surface energies and cleavage properties of LiH, Mg, Pb, MgO, and NiAl, materials for which reliable experimental surface energies are available. The calculated values agreed well with the experimental data in all cases, suggesting that the longstanding problem of reliably predicting surface energies has been solved.The surface energy γ of a solid is one of its fundamental physical parameters. It governs a wide range of processes, such the stress needed for crack growth, the rate of sintering, and the shape and growth of particles. The surface energies and interface energies of interacting surfaces are important in industrial applications including adhesion, protective coating operations, and lubrication. These quantities are also important in printing, because the surface energy affects the wetting of the substrate by the ink as well as the ink's spreading and adhesion. Despite their importance, few accurate surface energy values are available even for common materials because most experimental techniques for determining surface energies are indirect and subject to many systematic errors [1,2].To determine a surface energy, one must in principle induce the formation of a fresh, clean, and perfect surface, which is difficult to achieve. Such surfaces can theoretically be formed by applying a force to a partially pre-split sample in a cleavage experiment [3]. However, this method is only viable for intrinsically brittle materials at low temperature. Many materials, including most metals, are ductile. Consequently, the work needed to split a sample by crack propagation includes the energy of plastic deformation around the crack tip as well as that required to form the two new surfaces.In contrast, surface tensions can be determined rather accurately, and the surface free energy is equal to the surface tension for a one-component liquid. The surface energy data used in compilations of "recommended" surface energy values [4,5] were obtained by extrapolating measured surface tensions for melted solids to absolute zero. However, the surface tension is not equal to the surface energy in solids, and Makkonen [6,7] has recently argued that there is no mathematical connection between the surface tension of a solid material and the energy required to create a new surface. These issues are conceptually difficult and controversial [8]. It should be emphasized that the terms surfa...