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Noncontact Atomic Force Microscopy - Yale School of Engineering ...

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We-1220<br />

Theoretical study <strong>of</strong> the forces and atomic configurations <strong>of</strong> NC-AFM<br />

P. Pou 1 , and R. Perez 1<br />

experiments on low-dimension carbon materials.<br />

1 Dpto. de Física Teórica de la Materia Condensada, Universidad Autónoma de Madrid, Madrid, Spain<br />

During the last years we have been witnessing the rise <strong>of</strong> low-dimension carbon-based<br />

materials. Fullerenes, nanotubes and graphene are nowadays key materials nowadays key<br />

materials for nanotechnology applications due to their promising electronic and<br />

mechanical properties. The outstanding capabilities <strong>of</strong> NCAFM to image, manipulate and<br />

determine the tip-surface forces at the atomic scale make it the technique <strong>of</strong> choice for<br />

the study <strong>of</strong> the basic properties and for the development <strong>of</strong> these materials [1-5].<br />

In this work we present a DFT study <strong>of</strong> the interaction <strong>of</strong> a large set <strong>of</strong> AFM tips<br />

with different low-dimension carbon materials. We have considered several possible tip<br />

terminations: reactive clean Si tip apexes, non-reactive apexes, oxygen contaminated Si<br />

apexes and metallic tips. For each <strong>of</strong> these tips, we have characterized both the<br />

conservative and non-conservative part <strong>of</strong> the tip-sample interaction, determining the<br />

force versus distance curves during approach and retraction and calculating also the<br />

dissipated energy. Our results provide insight into the origin <strong>of</strong> the atomic contrast<br />

observed in recent experiments on both graphite and a SWNT [2-4]. Moreover, we have<br />

studied the atomic origin <strong>of</strong> the particular 3D <strong>Force</strong> mapping obtained in the experiments<br />

on peapods constituted by endo-fullerenes inserted in a SWNT [1] (see Fig. 1).<br />

a) b)<br />

Figure 1: (a) Ball-and-stick model <strong>of</strong> Si tip apex model over (Dy@C82)@SWNT. (b) Electronic<br />

charge density calculated with DFT in a plane parallel to the peapod over the top atoms <strong>of</strong> the<br />

SWNT. A slight modulation produced by the Dy@C82 is observed.<br />

[1] M. Ashino et al. Nature Nanotech. 3, 337 (2008).<br />

[2] B. J. Albers et al. Nature Nanotech. 4, 57 (2009).<br />

[3] S. Hembacher et al. PNAS. 100, 12539-12542 (2003); S. Hembacher et al. PRL 94, 056101 (2005).<br />

[4] M. Ashino et al. PRL 93, 136101 (2004); M. Ashino et al. Nanotechnology 16, S134-S137 (2005).<br />

[5] H. Hölscher et al. Phys. Rev. B 62, 6967-6970 (2000).<br />

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