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We have computed the surface energies, work functions, and interlayer surfacerelaxations of clean (111), (110), and (100) surfaces of Al, Cu, Ru, Rh, Pd,Ag, Pt, and Au. Many of these metallic surfaces have technological or catalyticapplications. We compare experimental reference values to those of the localdensity approximation (LDA), the Perdew-Burke-Ernzerhof (PBE) generalizedgradient approximation (GGA), the PBEsol (PBE for solids) GGA, the SCANmeta-GGA, and SCAN+rVV10 (SCAN with a long-range van der Waals or vdWcorrection). The closest agreement with uncertain experimental values isachieved by the simplest density functional (LDA) and by the most sophisticatedgeneral-purpose one (SCAN+rVV10). The long-range vdW interaction increases thesurface energies by about 10%, and the work functions by about 1%. LDA worksfor metal surfaces through a stronger-than-usual error cancellation. PBE yieldsthe most-underestimated and presumably least accurate surface energies and workfunctions. Surface energies within the random phase approximation (RPA) arealso reported. Interlayer relaxations from different functionals are inreasonable agreement with one another, and usually with experiment.

Properties of real metallic surfaces: Effects of density functional semilocality and van der Waals nonlocality