Elastic coupling between layers in two-dimensional materials

Yang Gao, Suenne Kim, Si Zhou, Hsiang Chih Chiu, Daniel Nélias, Claire Berger, Walt De Heer, Laura Polloni, Roman Sordan, Angelo Bongiorno, Elisa Riedo

Research output: Contribution to journalArticle

Abstract

Two-dimensional materials, such as graphene and MoS 2, are films of a few atomic layers in thickness with strong in-plane bonds and weak interactions between the layers. The in-plane elasticity has been widely studied in bending experiments where a suspended film is deformed substantially; however, little is known about the films' elastic modulus perpendicular to the planes, as the measurement of the out-of-plane elasticity of supported 2D films requires indentation depths smaller than the films' interlayer distance. Here, we report on sub-ångström-resolution indentation measurements of the perpendicular-to-the-plane elasticity of 2D materials. Our indentation data, combined with semi-analytical models and density functional theory, are then used to study the perpendicular elasticity of few-layer-thick graphene and graphene oxide films. We find that the perpendicular Young's modulus of graphene oxide films reaches a maximum when one complete water layer is intercalated between the graphitic planes. This non-destructive methodology can map interlayer coupling and intercalation in 2D films.

Original languageEnglish (US)
Pages (from-to)714-720
Number of pages7
JournalNature Materials
Volume14
Issue number7
DOIs
StatePublished - Jul 24 2015

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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  • Cite this

    Gao, Y., Kim, S., Zhou, S., Chiu, H. C., Nélias, D., Berger, C., De Heer, W., Polloni, L., Sordan, R., Bongiorno, A., & Riedo, E. (2015). Elastic coupling between layers in two-dimensional materials. Nature Materials, 14(7), 714-720. https://doi.org/10.1038/nmat4322