Theoretical study of the frequency shift in bimodal FM-AFM by fractional calculus

@inproceedings{Herruzo2012TheoreticalSO,
  title={Theoretical study of the frequency shift in bimodal FM-AFM by fractional calculus},
  author={E. T. Herruzo and Ricardo Garcia},
  booktitle={Beilstein journal of nanotechnology},
  year={2012}
}
Bimodal atomic force microscopy is a force-microscopy method that requires the simultaneous excitation of two eigenmodes of the cantilever. This method enables the simultaneous recording of several material properties and, at the same time, it also increases the sensitivity of the microscope. Here we apply fractional calculus to express the frequency shift of the second eigenmode in terms of the fractional derivative of the interaction force. We show that this approximation is valid for… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-8 of 8 extracted citations

References

Publications referenced by this paper.
Showing 1-3 of 3 references

Amplitude Modulation AFM in Liquid

  • R. García
  • Wiley-VCH: Weinheim, Germany,
  • 2010
1 Excerpt

Intermolecular and Surface Forces, 2nd ed.

  • J. N. Israelachvili
  • 2005
1 Excerpt

The fractional calculus: Theory, applications of differentiation, integration to arbitrary order

  • K. B. Oldham
  • 1974
1 Excerpt

Similar Papers

Loading similar papers…