Journal
PHYSICAL REVIEW APPLIED
Volume 2, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevApplied.2.054008
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Funding
- Centre National de la Recherche Scientifique (CNRS), Universite de Strasbourg
- Agence Nationale de Recherche (ANR) [QuandDoGra 12 JS10-00101]
- C'Nano GE
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We report a comprehensive micro-Raman study of a pressurized suspended graphene membrane that hermetically seals a circular pit, etched in a Si/SiO2 substrate. Placing the sample under a uniform pressure load results in bulging of the graphene membrane and subsequent softening of the main Raman features, due to tensile strain. In such a microcavity, the intensity of the Raman features depends very sensitively on the distance between the graphene membrane and the Si substrate, which acts as the bottom mirror of the cavity. Thus, a spatially resolved analysis of the intensity of the G- and 2D-mode features as a function of the pressure load permits a direct reconstruction of the blister profile. An average strain is then deduced at each pressure load, and Gruneisen parameter of 1.8 +/- 0.2 and 2.4 +/- 0.2 are determined for the Raman G and 2D modes, respectively. In addition, the measured blister height is proportional to the cubic root of the pressure load, as predicted theoretically. The validation of this scaling provides a direct and accurate determination of the Young's modulus of graphene with a purely optical, hence contactless and minimally invasive, approach. We find a Young's modulus of (1.05 +/- 0.10) TPa for monolayer graphene, in a perfect match with previous nanoindentation measurements. This all-optical methodology opens avenues for pressure sensing using graphene and could readily be adapted to other emerging two-dimensional materials and to nanoresonators.
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