Seeing the atomic orbital: First-principles study of the effect of tip termination on atomic force microscopy

Physical Review Letters

Volumn 90, Issue 25 I, 2003, Pages 2561011-2561014

  Huang, Minghuang ^a   Čuma, Martin ^b   Liu, Feng ^a  

^a University of Utah   (United States)

^b UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC FORCE MICROSCOPY; CHEMICAL BONDS; IMAGING TECHNIQUES; SCANNING ELECTRON MICROSCOPY;

ATOMIC ORBITALS;

ATOMIC PHYSICS;

EID: 0041766732     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. G. Binning, H. Rohrer, Ch. Gerber, and E. Weibel, Phys. Rev. Lett. 50, 120 (1983).
2. G. Binnig, C. F. Quate, and Ch. Gerber, Phys. Rev. Lett. 56, 930 (1986).
3. F. J. Giessibl, Science 267, 68 (1995).
4. S. Kitamura and M. Iwatsuki, Jpn. J. Appl. Phys. 35, L145 (1995).
5. H. Ueyama, M. Ohta, Y. Sugawara, and S. Morita, Jpn. J. Appl. Phys. 34, L1086 (1995).
6. Giessibl et al., Science 289, 422 (2000).
7. T. Uchihashi et al., Phys. Rev. B 56, 9834 (1997).
8. M. A. Lanz et al., Phys. Rev. Lett. 84, 2642 (2000).
9. T. Eguchi and Y. Hasegawa, Phys. Rev. Lett. 89, 266105 (2002).
10. R. Pérez, M.C. Payne, I. Štich, and K. Terakura, Phys. Rev. Lett. 78, 678 (1997); Phys. Rev. B 58, 10835 (1998).
11. R. Pérez, M.C. Payne, I. Štich, and K. Terakura, Phys. Rev. Lett. 78, 678 (1997); Phys. Rev. B 58, 10835 (1998).
12. N. Sasaki, S. Watanabe, and M. Tsukada, Phys. Rev. Lett. 88, 046106 (2002).
13. Z.-Y. Lu et al., Phys. Rev. Lett. 85, 5603 (2000).
14. J. R. Hahn and W. Ho, Phys. Rev. Lett. 87, 196102 (2001).
15. H. J. Hug et al., Science 291, 2509a (2001).
16. Giessibl et al., Science 291, 2509a (2001).
17. 2/z), by assuming a bias voltage of V applied between a spherical tip of radius R and a flat surface [F. J. Giessibl and H. Bielefeldt, Phys. Rev. B 61, 9968 (2000)]. We choose a radius R to make the total frequency shift fall into the experimental range.
18. F.J. Giessibl et al., Ann. Phys. (Leipzig) 10, 11 (2001).
19. M.C. Payne et al., Rev. Mod. Phys. 64, 1045 (1992).
20. F.J. Giessibl, Appl. Phys. Lett. 76, 1470 (2000).
21. m = 2.3 A, Fig. 3(f)]. This is because in the Si(111) tip, the vertical separation between the apex atom and its three nearest neighbors is ∼0.78 Å. Consequently, its neighbors can also interact with the surface adatom when the tip-surface distance is short. Because of the specific tip orientation used with respect to the surface, it turns out when the tip is placed at the upper-right corner of the in-plane grid, the interaction between one of the neighbors and the adatom becomes the dominating interaction at a short tip-surface distance, causing the shift of the maximum from the center [Fig. 3(d)] to the upper-right corner (Figs. 3(c) and 3(e)]. Looking carefully at Fig. 3(e), there is actually a very weak second maximum at the center.
22. The angular dependence, resulted from symmetries (angular momentum) of atomic orbitals of tip apex, has also been shown for STM; C.J. Chen, Phys. Rev. Lett. 69, 1656 (1992).