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Dynamics of Microcantilevers Tapping on Nanostructures in Liquid Environments in the Atomic Force Microscope

[+] Author Affiliations
Sudipta Basak, Arvind Raman

Purdue University

Paper No. IMECE2006-15479, pp. 67-68; 2 pages
doi:10.1115/IMECE2006-15479
From:
  • ASME 2006 International Mechanical Engineering Congress and Exposition
  • Design Engineering and Computers and Information in Engineering, Parts A and B
  • Chicago, Illinois, USA, November 5 – 10, 2006
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4767-5 | eISBN: 0-7918-3790-4
  • Copyright © 2006 by ASME

abstract

The Atomic Force Microscope (AFM) has become an indispensable tool in biology because it permits the probing of nanomechanical properties under physiological (liquid environments) conditions. AFM has been used in liquid environments to image, manipulate and probe atoms, living cells, bacteria, viruses, subcellular structures such as microtubules, individual proteins and DNA. Probably the most popular method used for AFM in liquids is the tapping mode wherein a resonant microcantilever is scanned over a sample. Yet very little is known about the dynamics of microcantilevers in liquid environments while interacting with nanostructures. This problem is especially challenging because viscous hydrodynamics couples strongly with cantilever motions, and the contribution from the electric double layer forces, which is not significant in air, must be taken into account. Previous attempts in the analysis and simulation of tapping mode in liquid modeled the tip-sample interaction forces using either a Lennard-Jones potential [1, 2], an exponentially growing force of small duration of the cantilever oscillation cycle [3] without any contact mechanics, or an unrealistic discontinuous interaction force [4]. Moreover, in all these papers the microcantilever was modeled by a point (lumped) mass, and the hydrodynamic effects were not derived rationally from basic hydrodynamic theory. Instead, a low quality factor (Q factor) and an added fluid mass were simply assumed [1–4]. A direct method to systematically deal with the AFM microcantilever using continuous beam theory in liquids governed by the unsteady Stokes equations and experiencing intermittent contact with the sample is not available in the literature.

Copyright © 2006 by ASME

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