Selective detection of short-range interaction forces was carried out with the second flexural mode of a commercially available dynamic mode cantilever. A higher mode has a higher spring constant and a lower mechanical quality factor, which are suitable for the small amplitude operation in dynamic force microscopy. With 0.70Å amplitude of the second flexural mode, atomically resolved constant frequency shift images of the Si(111)−7×7 reconstructed surface were obtained. The ultrasmall amplitude operation enabled imaging with high stability, due to the detection of the interaction force gradients at relatively long distances from the sample surface, and is an effective way to observe reactive surfaces while avoiding modifications and damaging of the tip and the sample.
Soft graphite surface was atomically resolved by ultrasmall amplitude dynamic force microscopy operating at 5 MHz. The giant corrugation amplitude of up to 85 pm appeared due to local vertical deformations of the graphite surface. In simultaneous scanning tunneling microscopy and dynamic force microscopy, all of the symmetric C atoms were resolved with the conservative interaction in the repulsive regime. Additionally, the dissipative interaction showed a large difference of asymmetric ␣ and  site C atoms, arising from the different mechanical properties. The low stiffness of the graphite surface played a crucial role in the observations at room temperature.The graphite surface has been one of the most extensively studied surfaces with scanning probe microscopy. The surface with the hexagonal lattice has two different kind of sites, namely, the ␣ and the  site C atoms. The ␣ site atoms are directly above in the adjacent planes, whereas the  site atoms are located above the hollow sites. In general, the  site atoms are only visible with scanning tunneling microscopy ͑STM͒. 1,2 Observation of all atoms has been challenging due to the asymmetry of the electric and mechanical properties. Observed corrugation amplitudes are usually varied and were up to several angstrom, 3,4 commonly known as the "giant corrugations." It is inconsistent to values of around 20 pm obtained by the first-principles calculation and the He scattering measurement. 5,6 It has been assumed that deformations of the graphite surface layer by interaction forces between the STM tip and the sample increase the observed corrugation amplitude. 7 Graphite has a laminated structure, and the surface layer is connected to the second layer with weak interactions, arising from the overlap of partially occupied pz orbitals perpendicular to the three hybridized orbitals ͓van der Waals ͑vdW͒ force type͔. On the other hand, in the plane, C atoms are strongly connected to each other by sp2 covalent bonds. This strong difference results in the high compliance in the laminated direction. Although this assumption is widely accepted, the giant corrugation has been observed only with STM, which traces the surface with a given charge density.Dynamic force microscopy ͑DFM͒ is another well-known technique to resolve surfaces with atomic resolution. 8 Since the tip-sample distance is usually regulated at a negative slope of the time-averaged interaction force gradient via a negative frequency shift of a cantilever, 9 all kind of surfaces, such as insulators, semiconductors, and metals, can be observed. 10 In the case of semiconductor surfaces, the strong interaction of the covalent bonding enables discriminations of surface atoms even in the same IV group. 11 On the other hand, vdW surfaces, such as graphite, carbon nanotubes, and C60, are one of the most challenging surfaces even for atomically resolved imaging due to their extremely low reactivity and small C-C distance of 142 pm. These features act to reduce the corrugation amplitude in DFM. Moreover since the st...
Lateral force gradient of down to 0.01 N/m on Si͑111͒-7 ϫ 7 was directly detected by dynamic lateral-force microscopy with an amplitude of 81 pm. Positive and negative torsional resonance frequency shifts of a silicon cantilever caused by the attractive interaction inward and outward tip ditherings were detected on adatom and nonadatom sites, respectively. The lateral force of down to subpiconewton was measurable with direct lateralforce spectroscopy. The converted lateral force predicts a possibility of the stick-slip motion in the noncontact region. The theoretical calculations were in good qualitative agreement with the experiments.
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