Our study then continues by analyzing the electronic and structural properties of the BLG sheets. To investigate the effect of pressure on the electronic properties of bilayer Graphene (BLG), we employed Bader charge population analysis. The analysis revealed that the average charges on the BLG layers are invariant as the pressure is increased (see Table in the SI). Despite the decreasing distance between methanol and BLG layers in the 0-2.9 GPa pressure range (as illustrated in the density profile in Fig. ) we find no charge transfer between the BLG layer and the adsorbate. In addition, we find that there is no change in the intra and inter layers polarization of the BLG with increasing pressure. This is supported by the same value of average charge for the bottom and upper layer, as well as no variations in the standard deviation computed at different pressures. Such findings indicate that the experimentally observed 1 increase in the pressureinduced BLG surface charge concentration in presence of methanol cannot arise from an enhancement of the methanol adsorption in the 0-10 GPa pressure range. We have then evaluated the evolution of the carbon-carbon inter-layer distance as a function of pressure by computing the associated radial distribution functions (see first peak's positions in Fig. ). We observe a progressive decrease of the carbon-carbon interlayer distance from 3.35 Å at ambient pressure to 3.09 Å at 10 GPa. Such results could indicate a higher probability of sp 3 structures' formation in the high pressure regime (> 6.9 GPa). However, no formation of stable sp 3 diamond-like structures is observed in the 20 ps of unbiased MD simulations in the 0.0001-10 GPa pressure range. We have then quantified the corrugation of the BLG layers as a function of pressure making use of the standard deviation of the BLG sheets atomic heights distribution (S h ) sampled over all atoms and frames. In Table we report for each pressure the upper and lower BLG layer's S h . The S h average values slowly decreases from 0.0001 to 1.2 GPa before reaching a plateau between 1.2 and 10 GPa The slight decrease in the BLG sheets corrugation is coherent with the reduction of the BLG inter-layer and BLG-methanol distances in the 0.0001-1.2 GPa range, that limits the out-of-plane displacements of the BLG carbon atoms. However, the small entity of the effect and the constant S h behavior in the 2.9-10 GPa range make us rule out a possible effect of corrugation on the formation of sp 3 structures in the high pressure regime.