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Last update 16-06-2007
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Dynamic Force Mode
Dynamic Force Mode is very similar to Non-contact mode AFM in many ways such as the applied force and the measurement principle. Dynamic Force Mode is a hybrid of the two most fundamental measurement methods, represented by contact mode and non-contact mode. In LFM, the cantilever vibrates in free-space in the vicinity of the resonant frequency like in non-contact mode. At the same time, since the vibrating cantilever gets very close to the sample surface, it taps the surface repeatedly, and the tip contacts the sample surface as in contact mode.  If you measure the amplitude of vibration of the cantilever used in Dynamic Force Mode while changing the frequency, as shown in Figure 1, there appears a special frequency where the amplitude resonates and amplifies greatly. This is called the intrinsic frequency (f0).   
Figure 1. Resonant frequency
Dynamic Force Mode uses the non-contact mode feedback circuit with keeping the vibrating frequency (f1) a little bit lower than the resonant frequency while oscillating in free-space. Then, as the tip is lowered, the real spring constant reduces due to the attractive van der Waals force which becomes larger as the tip comes closer to the sample surface, as shown in Figure 2 (a). Therefore the resonant frequency changes to effective frequency (feff) in non-contact regime and the amplitude at the frequency f1 increases. Since the amplitude increases, the non-contact mode feedback circuit decreases the distance between the tip and the sample surface, indicated in the graph of vibration amplitude vs tip-sample distance and z-feedback as shown in Figure 2 (b). Therefore, the vibrating cantilever, which is oscillating above the sample, approaches the sample almost in contact or in collision with the surface. This method, keeping intermittent contact between the sample surface and the vibrating cantilever is called Dynamic Force Mode AFM.
Figure 2. (a) Resonant frequency shift (b) Amplitude vs. Z-feedback
Similar to the initial approach of making contact with the sample, while scanning, larger amplitude reduces the distance between the tip and sample, and smaller amplitude increases the distance depending on the surface roughness to determine the surface topology. For certain samples, Dynamic Force Mode yields better measurements than contact mode or non-contact mode AFM. Dynamic Force Mode AFM has an advantage over contact mode in the sense that it will damage the sample less since there is no drag, frictional, or lateral force to pull the sample sideways. It is also more effective than non-contact mode when measuring a sample with a relatively rough surface and a large height difference over a large area. The importance and the application of Dynamic Force Mode AFM becomes more significant than before as it overcomes the limit of both contact mode and non-contact mode, while maintaining the merits of both modes.    
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