Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. The band structures, DOS, and Fermi surfaces for the MoS 2 bilayer with adsorbed (a,c,e) and intercalated (b,d,f) Li (1×1) layer. Graphical Abstract (for review)To Reviewer #1:"1. The authors showed the frequencies of phonon modes at Gamma point. In Fig. 6 -We have to confess that the relationship of the phonon frequencies at Gamma with the topic of the paper is only marginal, and therefore have canceled Table 1, Fig. 6 and Fig. 7 (with the related text), as advised. To our view, as a result, the paper has become more focused. Of course, within LDA, one cannot achieve a "chemical accuracy" of the estimates of the interlayer interaction, but for the purposes of the present study of the role of Li intercalation, it is important to use the same approximation for both (pristine and Li-intercalated) systems, and here LDA is a good choice. It should be noted in this regard that, rigorously speaking, vdW description *Response to Reviewers is valid until wave functions of species do not overlap -otherwise, the exchange interaction must be considered instead. Li concentrations, the character of metallization for the adsorbed layer substantially differs from that of the MoS 2 -Li -MoS 2 layered system. In particular, for the adsorbed (1×1) Li monolayer, the increased density of the layer leads to the nonmetal-to-metal transition, which is evident from the appearance of the band crossing E F with an upward dispersion, pertinent to simple metals. It has been demonstrated that intercalated Li substantially increases the interlayer interaction in MoS 2 .Specifically, the estimated 0.12 eV energy of the interlayer interaction in the MoS 2 bilayer increases to 0.60 eV. This result is also consistent with results of earlier DFT calculations and available experimental results for alkali-intercalated graphene layers, which have demonstrated a substantial increase in the stiffness due to intercalation of alkalis.