On eigenmodes, stiffness, and sensitivity of atomic force microscope cantilevers in air versus liquids

@article{Kiracofe2010OnES,
  title={On eigenmodes, stiffness, and sensitivity of atomic force microscope cantilevers in air versus liquids},
  author={Daniel R. Kiracofe and Arvind Raman},
  journal={Journal of Applied Physics},
  year={2010},
  volume={107},
  pages={033506}
}
The effect of hydrodynamic loading on the eigenmode shapes, modal stiffnesses, and optical lever sensitivities of atomic force microscope (AFM) microcantilevers is investigated by measuring the vibrations of such microcantilevers in air and water using a scanning laser Doppler vibrometer. It is found that for rectangular tipless microcantilevers, the measured fundamental and higher eigenmodes and their equivalent stiffnesses are nearly identical in air and in water. However, for… 

Figures and Tables from this paper

Design of a Setup for Modal Testing of Micro-Cantilevers Immersed in Liquid

To facilitate research on the dynamics of micro-cantilevers immersed in liquid, a modal test setup was designed. Modal testing is a powerful form of dynamic testing whereby the system's natural

Quantitative force and dissipation measurements in liquids using piezo-excited atomic force microscopy: a unifying theory

A careful study of the base motion and excitation forces is presented and a method by which quantitative analysis is in fact possible is proposed, thus opening this popular method for quantitative force and dissipation spectroscopy using dynamic AFM in liquids.

Precise determination of force microscopy cantilever stiffness from dimensions and eigenfrequencies

We demonstrate the non-destructive measurement of the stiffness of single-beam, monocrystalline silicon cantilevers with a trapezoidal cross-section and tips as used for atomic force microscopy from

Enhancing amplitudes of higher-order eigenmodes of atomic force microscope cantilevers by laser for better mass sensing

We theoretically study the dynamics of an atomic force microscope cantilever under various irradiation configurations of a laser. By conveying a stream of photons and its momenta, the laser beam

Calibration of the torsional and lateral spring constants of cantilever sensors

It is demonstrated that the torsional spring constants can be readily calibrated using the method with an accuracy of around 15%.

Analyzing the vibrational response of an AFM cantilever in liquid with the consideration of tip mass by comparing the hydrodynamic and contact repulsive force models in higher modes

This paper investigates the vibration of a tapping-mode Atomic Force Microscope (AFM) cantilever covered with two whole piezoelectric layers in a liquid medium. The authors of this article have

Calibration of higher eigenmodes of cantilevers.

A method is presented for calibrating the higher eigenmodes (resonant modes) of atomic force microscopy cantilevers that can be performed prior to any tip-sample interaction by providing the higher-mode stiffness as a ratio to the first mode stiffness.
...

References

SHOWING 1-10 OF 44 REFERENCES

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

The frequency response of a cantilever beam is well known to depend strongly on the fluid in which it is immersed. In this article, we present a theoretical model for the frequency response of a

Hydrodynamic loading of microcantilevers oscillating near rigid walls

The vibrations of microcantilevers in atomic force microscopes (AFMs) or radio frequency (RF) switches are strongly influenced by the viscous hydrodynamics of the surrounding fluid in the vicinity of

DMCMN: Experimental/Analytical Evaluation of the Effect of Tip Mass on Atomic Force Microscope Cantilever Calibration

Quantitative studies of material properties and interfaces using the atomic force microscope (AFM) have important applications in engineering, biotechnology, and chemistry. Contrary to what the name

Hydrodynamic loading of microcantilevers vibrating in viscous fluids

The hydrodynamic loading of elastic microcantilevers vibrating in viscous fluids is analyzed computationally using a three-dimensional, finite element fluid-structure interaction model. The quality

Hydrodynamic Damping of Microcantilevers Oscillating Near Solid Walls at Low Knudsen Numbers

The vibrations of microcantilevers in Atomic Force Microscopes (AFM) or Radio Frequency (RF) switches strongly couple to the viscous hydrodynamics of the surrounding fluid in the vicinity of a solid

Difficulties in fitting the thermal response of atomic force microscope cantilevers for stiffness calibration

This paper discusses the difficulties of calibrating atomic force microscope (AFM) cantilevers, in particular the effect calibrating under light fluid-loading (in air) and under heavy fluid-loading

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

The vibrational characteristics of a cantilever beam are well known to strongly depend on the fluid in which the beam is immersed. In this paper, we present a detailed theoretical analysis of the

Dynamic force spectroscopy using cantilever higher flexural modes

By means of force spectroscopy measurements performed with the cantilever first and second flexural modes under the frequency modulation detection method, the authors corroborate the validity of the