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U DFT calculations, we have shown that S/Ag(111) with √7 √7 R19 ordering has three Ag adatoms in addition to three S atoms in each supercell. The structure proposed by a recent paper is not energetically competitive. Adsorption of sulfur on Ag(111) has been studied experimentally using STM and theoretically using DFT in our previously published article in this journal. Aside from a novel dot-row structure, we have also studied extensively through DFT calculations the ( √ 7 √7)R19 (√7 in short) structure, which is the subject of the recent paper by Alvarez Soria et al. Our work is not cited or discussed by these authors. Specifically, we have identified two structures that are labeled √ 7-a and √ 7-b in Figure 8 in ref 1. Both of these two structures have three Ag and three S atoms in the top layer, with a complete substrate underneath it. In comparison, the structure obtained by Soria et al. at 3/7 ML S coverage has a similar structure as our √ 7-a structure in the top layer, but the second layer has three vacancies. Both the √ 7-a structure in ref 1 and the structure proposed by Alvarez Soria et al. have their origin in the model postulated by Schwaha et al., and reproduced by Yu et al. The key difference is that in the √ 7-a structure there are three extra Ag atoms in each √ 7 supercell on top of the clean surface, while in ref 2 no extra Ag atoms are introduced. To determine which structure is more favorable thermodynamically, one needs to take into account the energy cost of introducing extra Ag atoms into the system. Using DFT calculations, this can be achieved through calculating the chemical potential of S for a AgmSn complex on top of a clean surface, which at zero temperature is given by

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