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Molecular beam epitaxial growth of III-V semiconductor ... - KOBRA

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4.3 Atomic Force Microscopy<br />

and knowing the stiness <strong>of</strong> the cantilever. The probe is placed on the end <strong>of</strong> a<br />

cantilever (which one can think <strong>of</strong> as a spring). The amount <strong>of</strong> force between the<br />

probe and sample is dependent on the spring constant stiness <strong>of</strong> the cantilever<br />

and the distance between the probe and the sample surface. This force can be<br />

described using Hooke's Law described in Eq. 4.1.<br />

F = −kz (4.1)<br />

Where F is the force, k is the stiness <strong>of</strong> the lever, and z is the distance<br />

the lever is bent. However, the dominant interactions at short probe-sample<br />

distances in the AFM are Van der Waals (VdW) interactions. The AFM consists<br />

<strong>of</strong> a cantilever with a sharp tip (probe) at its end that is used to scan the specimen<br />

surface. The cantilever is typically silicon or silicon nitride with a tip radius <strong>of</strong><br />

curvature on the order <strong>of</strong> nanometers. When the tip is brought into proximity<br />

<strong>of</strong> a sample surface, forces between the tip and the sample lead to a deection <strong>of</strong><br />

the cantilever according to Hooke's law.<br />

Figure 4.5: Scheme <strong>of</strong> an atomic force microscope and the force-distance curve characteristic<br />

<strong>of</strong> the interaction between the tip and sample [71].<br />

The motion <strong>of</strong> the probe across the surface is controlled using feedback loop<br />

and piezoelectronic scanner as it is shown in Fig. 4.5. If the electronic feedback<br />

is on, as the tip is raster-scanned across the surface, the piezo will adjust the<br />

tip sample separation so that a constant deection is maintained so the force<br />

is the same as its setpoint value. This operation is known as constant force<br />

57

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