PACS : 68.35.Bs; 68.43.Bc We present, in this work, our preliminary results of a systematic theoretical study of the adsorption of Ga, In and N over GaAs(110) surfaces. We analyze the changes in the bond lengths and in the bond angles before and after deposition, as well as the total energy behaviour with the adsorbate position variation. Our results show that both the InN and GaN growth over GaAs(110) are possible. Also, based on our results, we speculate the arsenic mediated growth for GaN over GaAs substrates which shows a surfactant effect.Introduction The group III-nitrides (AlN, GaN, InN) and the corresponding alloys have attracted great interest due to their successful applications in the electronic and optoelectronic device technology [1]. However, their growth in the zinc-blende structure has been a hard task to the experimentalists, once the most stable structure for these compounds is the wurtzite one.A lot of substrates has been proposed for the III-nitride growth in the cubic modification, and the nitridation of the GaAs surfaces seems to be the most efficient technique for such growth [2][3][4]. Here, the (110) or the (100) GaAs surfaces are exposed to a nitrogen plasma, once that nitrogen molecules do not dissociate on these surfaces due to their large binding energy. In the plasma process, since the cross section is much larger for the dissociation than for ionization of N 2 molecules, N atoms may be produced by electron impact. So, the nitridation proceeds simply via an anion exchange reaction over the GaAs substrate [3,4].Despite the experimental advances on the III-nitride growth by nitridation techniques, however, the amount of theoretical calculations on this subject is rather scarce, to our knowledge. In order to supply the missing theoretical understanding of this new growth process for III-nitrides over GaAs substrate, we present, in this work, our preliminary results of a systematic theoretical study of the adsorption of Ga, In and N over GaAs(110) surfaces.By using the slab supercell model, our results were obtained by two types of calculations: the first based on accurate, parameter-free, self-consistent total energy and force calculations using the density functional theory [5], the local-spin-density approximation for the exchange-correlation term [6], and the plane-wave pseudopotential method with the Hartwigsen-Goedecker-Hutter pseudo-potentials [7]. (The Abinit code is a common project of the Université Catholique de Louvain, Corning Incorporated, and other contributors [8]). The second is based on the semi-empirical Extended Hü ckel method (EHT) in the crystalline orbital theory (Bicon-Cedit code [9]). We have used, in both calculations, supercells build up of 7 atomic layers and a vacuum region equivalent of