Abstract
We present polynomial force reconstruction from experimental intermodulation atomic force microscopy (ImAFM) data. We study the tip–surface force during a slow surface approach and compare the results with amplitude-dependence force spectroscopy (ADFS). Based on polynomial force reconstruction we generate high-resolution surface-property maps of polymer blend samples. The polynomial method is described as a special example of a more general approximative force reconstruction, where the aim is to determine model parameters that best approximate the measured force spectrum. This approximative approach is not limited to spectral data, and we demonstrate how it can be adapted to a force quadrature picture.
Highlights
The combination of high-resolution imaging [1,2,3,4] and highaccuracy force measurements [5,6,7,8,9,10] is a strong driving force for the development of atomic force microscopy (AFM)
We demonstrate, for the first time, polynomial force reconstruction on experimental intermodulation atomic force microscopy (ImAFM) data and compare it with reconstruction based on amplitudedependence force spectroscopy (ADFS) [20]
Multifrequency AFM opens the window to a wide variety of novel AFM measurement techniques enabling a much improved understanding of the forces between the tip and the surface
Summary
The combination of high-resolution imaging [1,2,3,4] and highaccuracy force measurements [5,6,7,8,9,10] is a strong driving force for the development of atomic force microscopy (AFM). Polynomial reconstruction, and most other multifrequency methods, work directly on the measured spectral data of the tip motion. To reconstruct the complete force spectrum from the measured partial motion spectrum , we expand the tip–surface force into a finite series from a set of basis functions, with constant coefficients gn
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