Amplitude Modulation Atomic Force Microscopy by Ricardo Garcia

By Ricardo Garcia

Filling a niche within the literature, this booklet beneficial properties in-depth discussions on amplitude modulation AFM, offering an outline of the idea, instrumental concerns and functions of the approach in either academia and undefined. As such, it comprises examples from fabric technological know-how, tender condensed topic, molecular biology, and biophysics, between others. The textual content is written in any such approach as to let readers from diversified backgrounds and degrees of craftsmanship to discover the knowledge appropriate for his or her wishes.

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Where b is the half angle of the cone and Rb ¼ R(1 sin b). 1. When the roughness of the sample surface is approximated by a succession of half spheres, the sphere sphere approximation could be applied to estimate the van der Waals force, FvdW ¼ H Rt Rs ; 6d2 Rt þ Rs ð3:3Þ where Rt is the tip’s radius and Rs is the effective radius of the surface under the tip. The van der Waals force between two surfaces is usually attractive. Nonetheless, it is worth to summarize three relevant situations. The van der Waals force between two identical materials in a medium is always attractive.

75 N/m) in air and water. The medium does considerably alter the resonance curves. In liquid, the resonance curve is wider (Qwater ¼ 3 versus Qair ¼ 60 in this example). At the same time, the resonant frequency is shifted to lower values. 9 Experimental resonance curves in water and air. Notice the shift of the resonant frequency and the broadening of the resonance when the measurement is done in water. Adapted from Ref. [59]. The above curves were taken very far from the sample surface, so the tip surface forces did not affect the curve.

A line fit in the contact section is used to calibrate the detector signal (DV) with a known cantilever deflection. It is assumed that the cantilever deflection is equal to the z piezoscanner displacement Dz, ss ¼ DV : Dz ð2:8Þ The above value depends on the laser spot position along the cantilever axis; as a consequence, the sensitivity will depend on the cantilever length and the alignment procedure. The shape of the cantilever depends on the excited eigenmode so does the sensitivity. However, the sensitivity of mode n (sn) can be determined from the value of the static sensitivity ss by realizing that the ratio between the sensitivities is proportional to the cantilever slopes [27, 40].

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