Abstract
In MAC mode AFM the cantilever is inclined at some angle (∼15°) relative to the sample surface. For this reason the viscous resistance of the liquid between the cantilever and the sample grows in direction from the cantilever base to its tip. Simultaneously, the density of the joint mass decreases in that direction. A model for viscous forces and joint mass distribution along the cantilever is suggested on the basis of liquid flow analysis. A boundary value problem for the shape of the oscillating cantilever is solved numerically for different driving frequencies and distances of the cantilever tip from the surface of the sample. This results in the dependency of the phases and amplitudes for the cantilever tip and laser beam (cantilever slope at the tip end) oscillations on the distance from the sample and on driving frequency. Fitting these results to experimental data allows to find out the parameters for viscous resistance and joint mass distributions. Altogether, the method represents a necessary tuning for each specifical experimental setup oriented towards noncontact MAC-mode studies of surface properties.
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