The (1×1) and ( √ 3 × √ 3)R30 • (T4) structures of Ga and As adatoms on the Ge(111) and Si(111) surfaces are studied using first-principles calculations. The surface energetics predicts, in some cases, a transformation of the T4 structure (surface covered with 1/3 monolayer (ML) of adatoms) into domains of the 1-ML covered (1×1) structure and areas of clean reconstructed suface. For As adatoms, such phase separation is favored on both substrates, while for Ga adatoms, it is only preferred on the Ge (111) surfaces. These results compare well with experimental observations. PACS: 68.35.Bs; 68.35.MdThe Ge(111) and Si(111) surfaces with the III-A and V-A adatoms form an interesting group of systems that demonstrates the subtlety of the mechanisms controlling the stabilization of an adatom structure. In this contribution we summarize an ab initio study of the energetics of the Ga and As adatom structures on the Ge(111) and Si(111) surfaces. We limit ourselves to thin overlayers, viz. those consisting of 1 monolayer (ML) or 1/3 ML of adatoms and compare how the Ga and As deposition differs on the Ge and Si surfaces. We will see that even within so limited a scope the experiments raise a number of puzzling questions, in particular, why completely different behavior is observed in systems as analogous as Si and Ge substrates.The smallest translational units compatible with the 1 ML and 1/3 ML coverages are the (1×1) and the ( √ 3 × √ 3)R30 • surface cells; the latter is shown in Fig. 1, and the present work is bounded by these two types of translational periodicity. The two cells are particularly interesting because, in both cases, adsorption of one adatom per unit cell leads to complete saturation of all the dangling bonds existing on the ideal Si(111) or Ge(111) surface. Also in both cases, the reconstruction of the original clean surface gets altered -we can figure that a "deconstruction" took place at some intermediate stage, restoring the ideal surface, before the adatom layer imposes its own reconstruction.Clearly, the notion of the ideal, unreconstructed surface is rather hypothetical; it nevertheless offers a convenient reference point for quantities such as surface energies, adsorption energies, etc. The ideal surface may also be a more Fig. 1. Top view of the T4 adatom structure. The area enclosed by the dashed lines corresponds to the surface unit cell of theIn the (1×1) structure, the adatoms replace all surface atoms (the first-layer atoms) of the ideal (111) surface convenient starting point for constructing structural models of surfaces with overlayers than the reconstructed surface on which the real adsorption process actually starts. We thus choose, as the reference configuration throughout this work, the "one-dangling-bond-terminated" ideal surface, in which every surface atom carries one non-saturated dangling bond. One can also figure a "three-dangling-bond-terminated" ideal surface, which would be obtained from the other type by removing one plane of atoms; this notion is even further from the real s...