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

Fingerprint

Graphite
Graphene
Elasticity
graphene
elastic properties
indentation
Indentation
Oxide films
oxide films
interlayers
modulus of elasticity
Elastic moduli
Intercalation
intercalation
Density functional theory
Analytical models
methodology
density functional theory
Water
water

ASJC Scopus subject areas

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

Cite this

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

Elastic coupling between layers in two-dimensional materials. / Gao, Yang; Kim, Suenne; Zhou, Si; Chiu, Hsiang Chih; Nélias, Daniel; Berger, Claire; De Heer, Walt; Polloni, Laura; Sordan, Roman; Bongiorno, Angelo; Riedo, Elisa.

In: Nature Materials, Vol. 14, No. 7, 24.07.2015, p. 714-720.

Research output: Contribution to journalArticle

Gao, Y, Kim, S, Zhou, S, Chiu, HC, 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, vol. 14, no. 7, pp. 714-720. https://doi.org/10.1038/nmat4322
Gao Y, Kim S, Zhou S, Chiu HC, Nélias D, Berger C et al. Elastic coupling between layers in two-dimensional materials. Nature Materials. 2015 Jul 24;14(7):714-720. https://doi.org/10.1038/nmat4322
Gao, Yang ; Kim, Suenne ; Zhou, Si ; Chiu, Hsiang Chih ; Nélias, Daniel ; Berger, Claire ; De Heer, Walt ; Polloni, Laura ; Sordan, Roman ; Bongiorno, Angelo ; Riedo, Elisa. / Elastic coupling between layers in two-dimensional materials. In: Nature Materials. 2015 ; Vol. 14, No. 7. pp. 714-720.
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