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. 2017 Jun 1;7:2646. doi: 10.1038/s41598-017-02582-7

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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(a) A simulation snapshot and a 0.5 ns-long center-of-mass trajectory of the encapsulated water with N _W = 115, at T = 300 K. Here only the graphene substrate is shown. (b) MSD of water molecular diffusion in a monolayer EW, calculated at different temperature. (c) Diffusion coefficient D calculated for both molecular diffusion and the collective diffusion of EW. To calculate the in-droplet diffusion, the collective motion is subtracted from molecular diffusion.