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

  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},
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

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