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Susceptibility of atomic force microscope cantilevers to lateral forces

Rev. Sci. Instrum. 74, 2438 (2003); doi:10.1063/1.1544421

Issue Date: April 2003

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John Elie Sader
Department of Mathematics and Statistics, University of Melbourne, Victoria, 3010, Australia
V-shaped cantilevers are used widely in the atomic force microscope (AFM) due to their perceived enhanced resistance to lateral forces in comparison to rectangular cantilevers. In this article, we rigorously investigate this premise, and in so doing establish that, contrary to established operating principles and intuition, V-shaped AFM cantilevers are generally more prone to the effects of lateral forces than rectangular AFM cantilevers. This finding suggests that rectangular cantilevers should be used in place of V-shaped cantilevers in applications where the effects of lateral forces are to be minimized. ©2003 American Institute of Physics.
History: Received 13 August 2002; accepted 10 December 2002
Permalink: http://link.aip.org/link/?RSINAK/74/2438/1
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KEYWORDS and PACS

Keywords
PACS
  • 07.79.Lh
    Atomic force microscopes
  • YEAR: 2003

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PUBLICATION DATA

ISSN:
0034-6748 (print)   1089-7623 (online)
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REFERENCES (11)

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  9. The accuracy of Eq. (2) for rectangular cantilevers was assessed using finite element analysis (LUSAS is a trademark of, and is available from, FEA Ltd., Forge House, 66 High Street, Kingston Upon Thames, Surrey, KT1 1HN, U.K.). The effect of the imaging tip was simulated by ensuring the cantilever was rigid for x>=(LDeltaL). For the typical case of nu= 0.25, and (LDeltaL)/c>=1, we find that kz, kphi, kztheta, and ktheta exhibit maximum errors of 5%, 1%, 4%, and 4%, respectively. The accuracy of all formulas improve as (LDeltaL)/c increases, and are exact in the limit as (LDeltaL)/c-->[infinity]. The accuracy of Eq. (3) for V-shaped cantilevers was examined in Refs. 7 and 8.
  10. E. Reissner and M. Stein, N.A.C.A. Technical Note No. 2369, June (1951).
  11. J. E. Sader, in Encyclopedia of Surface and Colloid Science, edited by A. Hubbard (Marcel Dekker, New York, 2002), pp. 846–856.

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