The coadsorption of N and O on Ru(0001) has been studied by scanning tunneling microscopy; by this technique we can distinquish between the two atomic adsorbates. N and O form a dense intermixed 2 3 2 phase in equilibrium with a dilute lattice gas. The two-dimensional "vapor pressure" of N, i.e., its concentration in the lattice gas, has been determined for various ratios of N and O in the dense phase by adjusting the total coverage of N and O. The resulting vapor pressure curve indicates a positive enthalpy of mixing, due to relatively weak N-O interactions in the dense phase. [S0031-9007(98)07374-8] PACS numbers: 82.65.Dp, 68.35.Bs Lattice models are well established for the theoretical description of multicomponent systems like liquid mixtures, alloys, solid solutions, etc. [1,2]. Because of their discrete nature, which allows the explicit calculation of thermodynamic properties within statistical concepts, lattice models very often provide an appropriate and feasible mathematical description of these systems [3]. Nowadays, powerful computers allow the simulation of such models even for complicated systems [4]. Direct experimental verification of thermodynamic properties of such a system has, however, so far been lacking and will be presented in this paper.By applying scanning tunneling microscopy (STM) to the two-dimensional (2D) lattice system of coadsorbed O and N atoms on a Ru(0001) surface, we were able to directly determine the atomic configurations of this binary mixture. N and O atoms are shown to form two phases coexisting on the surface, a dense intermixed 2 3 2 phase in equilibrium with a dilute lattice gas phase. The thermodynamic quantities like the composition of the dense phase as well as the concentrations of the components in the lattice gas phase, i.e., their 2D partial pressures, were derived by simply counting the individual atoms.N and O were coadsorbed on the Ru(0001) surface by dissociative adsorption of NO [5,6] where all adatoms occupy equivalent hcp sites of the substrate lattice. The NO dissociation results in equal total amounts of N and O, while the atomic compositions of the different phases and hence also the partial pressures in the lattice gas phase vary with the overall coverage. By varying the exposure to NO, it became possible to derive the 2D N partial pressure for various ratios of N and O in the dense phase. The thus derived data indicate a positive enthalpy of mixing, reflecting the interactions of the adsorbates in the dense phase. These experimental results are compared with predictions from a simple lattice model for a binary mixture in 2D, from which a weak attractive third nearest neighbor ͑3nn͒ interaction between the O and N atoms is derived.The STM experiments were performed in a UHV chamber with a base pressure below 1 3 10 210 mbar, described in detail in [7]. The Ru(0001) sample was cleaned by Ar 1 sputtering, followed by several annealing and oxidation cycles [8]. Coadsorption of N and O was achieved by adsorbing NO at 375 K. At this temperature NO complet...