Determining cantilever stiffness from thermal noise

Lübbe J, Temmen M, Rahe P, Kühnle A, Reichling M (2013)
Beilstein Journal of Nanotechnology 4: 227-233.

Download
No fulltext has been uploaded. References only!
Journal Article | Original Article | Published | English

No fulltext has been uploaded

Author
; ; ; ;
Abstract
We critically discuss the extraction of intrinsic cantilever properties, namely eigenfrequency f(n), quality factor Q(n) and specifically the stiffness k(n) of the nth cantilever oscillation mode from thermal noise by an analysis of the power spectral density of displacement fluctuations of the cantilever in contact with a thermal bath. The practical applicability of this approach is demonstrated for several cantilevers with eigenfrequencies ranging from 50 kHz to 2 MHz. As such an analysis requires a sophisticated spectral analysis, we introduce a new method to determine kn from a spectral analysis of the demodulated oscillation signal of the excited cantilever that can be performed in the frequency range of 10 Hz to 1 kHz regardless of the eigenfrequency of the cantilever. We demonstrate that the latter method is in particular useful for noncontact atomic force microscopy (NC-AFM) where the required simple instrumentation for spectral analysis is available in most experimental systems.
Publishing Year
ISSN
PUB-ID

Cite this

Lübbe J, Temmen M, Rahe P, Kühnle A, Reichling M. Determining cantilever stiffness from thermal noise. Beilstein Journal of Nanotechnology. 2013;4:227-233.
Lübbe, J., Temmen, M., Rahe, P., Kühnle, A., & Reichling, M. (2013). Determining cantilever stiffness from thermal noise. Beilstein Journal of Nanotechnology, 4, 227-233. doi:10.3762/bjnano.4.23
Lübbe, J., Temmen, M., Rahe, P., Kühnle, A., and Reichling, M. (2013). Determining cantilever stiffness from thermal noise. Beilstein Journal of Nanotechnology 4, 227-233.
Lübbe, J., et al., 2013. Determining cantilever stiffness from thermal noise. Beilstein Journal of Nanotechnology, 4, p 227-233.
J. Lübbe, et al., “Determining cantilever stiffness from thermal noise”, Beilstein Journal of Nanotechnology, vol. 4, 2013, pp. 227-233.
Lübbe, J., Temmen, M., Rahe, P., Kühnle, A., Reichling, M.: Determining cantilever stiffness from thermal noise. Beilstein Journal of Nanotechnology. 4, 227-233 (2013).
Lübbe, Jannis, Temmen, Matthias, Rahe, Philipp, Kühnle, Angelika, and Reichling, Michael. “Determining cantilever stiffness from thermal noise”. Beilstein Journal of Nanotechnology 4 (2013): 227-233.
This data publication is cited in the following publications:
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Web of Science

View record in Web of Science®

Sources

PMID: 23616942
PubMed | Europe PMC

Search this title in

Google Scholar