Print Email Facebook Twitter Temperature dependence of atomic vibrations in mono-layer graphene Title Temperature dependence of atomic vibrations in mono-layer graphene Author Allen, C.S. Liberti, E. Kim, J.S. Xu, Q. Fan, Y. He, K. Robertson, A.W. Zandbergen, H.W. Warner, J.H. Kirkland, A.I. Faculty Applied Sciences Department QN/Quantum Nanoscience Date 2015-08-19 Abstract We have measured the mean square amplitude of both in- and out-of-plane lattice vibrations for mono-layer graphene at temperatures ranging from ?100 K to 1300?K. The amplitude of lattice vibrations was calculated from data extracted from selected area electron diffraction patterns recorded across a known temperature range with over 80 diffraction peaks measured per diffraction pattern. Using an analytical Debye model, we have also determined values for the maximum phonon wavelength that can be supported by a mono-layer graphene crystal and the magnitude of quantum mechanical zero point vibrations. For in-plane phonons, the quantum mechanical zero point contribution dominates the measured atomic displacement at room temperature, whereas for out-of-plane modes, thermally populated phonons must be considered. We find a value for the maximum phonon wavelength sampled that is several orders of magnitudes smaller than the physical crystallite size. Subject graphenephononselectron beamsselected area electron diffractionvibration testing To reference this document use: http://resolver.tudelft.nl/uuid:d2a9fda7-16b9-46a7-9e8f-2f5415de3e52 Publisher American Institute of Physics ISSN 0021-8979 Source https://doi.org/10.1063/1.4928324 Source Journal of Applied Physics, 118 (7), 2015 Part of collection Institutional Repository Document type journal article Rights (c) 2015 AIP Files PDF Zandbergen_2015.pdf 1.09 MB Close viewer /islandora/object/uuid:d2a9fda7-16b9-46a7-9e8f-2f5415de3e52/datastream/OBJ/view