Vibrational modes of ultrathin carbon nanomembrane mechanical resonators

Journal Article · Mon Feb 09 00:00:00 EST 2015 · Applied Physics Letters

DOI:https://doi.org/10.1063/1.4908058· OSTI ID:22412621

Zhang, Xianghui; Angelova, Polina; Gölzhäuser, Armin ^[1]; Waitz, Reimar; Yang, Fan; Lutz, Carolin; Scheer, Elke ^[2]

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1. Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld (Germany)
2. Fachbereich Physik, Universität Konstanz, 78457 Konstanz (Germany)

We report measurements of vibrational mode shapes of mechanical resonators made from ultrathin carbon nanomembranes (CNMs) with a thickness of approximately 1 nm. CNMs are prepared from electron irradiation induced cross-linking of aromatic self-assembled monolayers and the variation of membrane thickness and/or density can be achieved by varying the precursor molecule. Single- and triple-layer freestanding CNMs were made by transferring them onto Si substrates with square/rectangular orifices. The vibration of the membrane was actuated by applying a sinusoidal voltage to a piezoelectric disk on which the sample was glued. The vibrational mode shapes were visualized with an imaging Mirau interferometer using a stroboscopic light source. Several mode shapes of a square membrane can be readily identified and their dynamic behavior can be well described by linear response theory of a membrane with negligible bending rigidity. By applying Fourier transformations to the time-dependent surface profiles, the dispersion relation of the transverse membrane waves can be obtained and its linear behavior verifies the membrane model. By comparing the dispersion relation to an analytical model, the static stress of the membranes was determined and found to be caused by the fabrication process.

• OSTI ID: 22412621
• Journal Information: Applied Physics Letters, Vol. 106, Issue 6; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-6951
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CARBON
COMPARATIVE EVALUATIONS
CROSS-LINKING
DISPERSION RELATIONS
ELECTRONS
FOURIER TRANSFORMATION
IRRADIATION
LIGHT SOURCES
MEMBRANES
MOLECULES
NANOSTRUCTURES
PIEZOELECTRICITY
RADIATION EFFECTS
RESONATORS
STRESSES
SUBSTRATES
SURFACES
TIME DEPENDENCE