Determining cantilever stiffness from thermal noise

Autor(en): Luebbe, Jannis
Temmen, Matthias
Rahe, Philipp 
Kuehnle, Angelika
Reichling, Michael 
Stichwörter: AFM; AGITATION; ATOMIC-FORCE MICROSCOPY; cantilever; CONDUCTORS; Materials Science; Materials Science, Multidisciplinary; Nanoscience & Nanotechnology; noncontact atomic force microscopy (NC-AFM); Physics; Physics, Applied; Q-factor; resonance; Science & Technology - Other Topics; spectral analysis; stiffness; thermal excitation
Erscheinungsdatum: 2013
Volumen: 4
Startseite: 227
Seitenende: 233
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.
ISSN: 21904286
DOI: 10.3762/bjnano.4.23

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