Surface Science LettersA simplified but intuitive analytical model for intermittent-contact-mode force microscopy based on Hertzian mechanics
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Acknowledgements
Fruitful discussions with S. Hembacher and J. Mannhart are gratefully acknowledged. This work was supported by the BMBF (project number 13N6918/1).
References (14)
- et al.
Nanotechnol.
(1996) - et al.
Phys. Rev. B
(1996) - et al.
Langmuir
(1996) - et al.
Phys. Rev. B
(1996) - et al.
Ann. Phys.
(1997) - et al.
Nanotechnol.
(1997) - et al.
Appl. Phys. A
(1998)
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