Resonance response of scanning force microscopy cantilevers

G. Y. Chen; R. J. Warmack; T. Thundat; D. P. Allison; A. Huang

doi:10.1063/1.1144647

Resonance response of scanning force microscopy cantilevers

G. Y. Chen, R. J. Warmack, T. Thundat, D. P. Allison, A. Huang

Research output: Contribution to journal › Article › peer-review

273 Scopus citations

Abstract

A variational method is used to calculate the deflection and the fundamental and harmonic resonance frequencies of commercial V-shaped and rectangular atomic force microscopy cantilevers. The effective mass of V-shaped cantilevers is roughly half that calculated for the equivalent rectangular cantilevers. Damping by environmental gases, including air, nitrogen, argon, and helium, affects the frequency of maximum response and to a much greater degree the quality factor Q. Helium has the lowest viscosity, resulting in the highest Q, and thus provides the best sensitivity in noncontact force microscopy. Damping in liquids is dominated by an increase in effective mass of the cantilever due to an added mass of the liquid being dragged with that cantilever.

Original language	English
Pages (from-to)	2532-2537
Number of pages	6
Journal	Review of Scientific Instruments
Volume	65
Issue number	8
DOIs	https://doi.org/10.1063/1.1144647
State	Published - 1994
Externally published	Yes

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AU - Warmack, R. J.

AU - Thundat, T.

AU - Allison, D. P.

AU - Huang, A.

PY - 1994

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AB - A variational method is used to calculate the deflection and the fundamental and harmonic resonance frequencies of commercial V-shaped and rectangular atomic force microscopy cantilevers. The effective mass of V-shaped cantilevers is roughly half that calculated for the equivalent rectangular cantilevers. Damping by environmental gases, including air, nitrogen, argon, and helium, affects the frequency of maximum response and to a much greater degree the quality factor Q. Helium has the lowest viscosity, resulting in the highest Q, and thus provides the best sensitivity in noncontact force microscopy. Damping in liquids is dominated by an increase in effective mass of the cantilever due to an added mass of the liquid being dragged with that cantilever.

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Resonance response of scanning force microscopy cantilevers

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