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Journal ArticleDOI

Experimental validation of theoretical models for the frequency response of atomic force microscope cantilever beams immersed in fluids

James W. M. Chon, +2 more
- 29 Mar 2000 - 
- Vol. 87, Iss: 8, pp 3978-3988
TLDR
In this paper, the frequency response of a cantilever beam, that is immersed in a viscous fluid and excited by an arbitrary driving force, has been investigated and a critical assessment of the well-known inviscid model is presented.
Abstract
Detailed measurements of the frequency responses of a series of rectangular atomic force microscope (AFM) cantilever beams, immersed in a range of fluids, have been performed to test the validity and accuracy of the recent theoretical model of Sader [J. Appl. Phys. 84, 64 (1998)]. This theoretical model gives the frequency response of a cantilever beam, that is immersed in a viscous fluid and excited by an arbitrary driving force. Very good agreement between experimental measurements and theoretical calculations is found for all fluids considered. Furthermore, a critical assessment of the well-known inviscid model is presented, which demonstrates that this model is not applicable to AFM cantilever beams in general.

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Citations
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Journal ArticleDOI

Dynamic atomic force microscopy methods

TL;DR: In this paper, the authors review the fundamentals, applications and future tendencies of dynamic atomic force microscopy (AFM) methods and present a detailed quantitative comparison between theoretical simulations and experiment.
Journal ArticleDOI

Comparison of calibration methods for atomic-force microscopy cantilevers

TL;DR: In this paper, the authors compared the experimentally determined values of stiffness for ten cantilever probes using four different methods, based on the acquisition and analysis of thermal distribution functions of the oscillator's amplitude fluctuations.
Journal ArticleDOI

Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles

TL;DR: In this paper, the authors present a review of the physical properties of nanoresonator-based molecular detection at the nanoscale, focusing on issues of special relevance to the dynamic behavior of micro/nanoresonators and their applications in biological/chemical detection.
Journal ArticleDOI

Biosensing using dynamic-mode cantilever sensors: a review.

TL;DR: Current progress on the use of dynamic-mode cantilever sensors for biosensing applications is critically reviewed, including fluid-structure interaction and its dependence on the Reynolds number for Newtonian fluids.
Journal ArticleDOI

Spring constant calibration of atomic force microscope cantilevers of arbitrary shape

TL;DR: Hydrodynamic functions for a series of irregular and non-rectangular atomic force microscope cantilevers that are commonly used in practice are presented and are expected to be of particular value to the design and application of micro- and nanomechanical systems in general.
References
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Book

CRC Handbook of Chemistry and Physics

TL;DR: CRC handbook of chemistry and physics, CRC Handbook of Chemistry and Physics, CRC handbook as discussed by the authors, CRC Handbook for Chemistry and Physiology, CRC Handbook for Physics,
Journal ArticleDOI

A nondestructive method for determining the spring constant of cantilevers for scanning force microscopy

TL;DR: The spring constant of microfabricated cantilevers used in scanning force microscopy (SFM) can be determined by measuring their resonant frequencies before and after adding small end masses as mentioned in this paper.
Journal ArticleDOI

Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope

TL;DR: In this article, a detailed theoretical analysis of the frequency response of a cantilever beam that is immersed in a viscous fluid and excited by an arbitrary driving force is presented.
Journal ArticleDOI

Method for the calibration of atomic force microscope cantilevers

TL;DR: In this article, a fast and non-destructive method for the evaluation of the spring constant which relies solely on the determination of the unloaded resonant frequency of the cantilever, a knowledge of its density or mass, and its dimensions is proposed.
Journal ArticleDOI

Microfabrication of cantilever styli for the atomic force microscope

TL;DR: In this article, a number of microfabrication processes for constructing cantilever styli with properties ideal for the atomic force microscopy (AFM) were presented. But none of them are suitable for high-resolution microscopy.
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