Simple theory for the atomic-force microscope with a comparison of theoretical and experimental images of graphite (bibtex)
by S. A. C. Gould, Kieron Burke, P. K. Hansma
Abstract:
In this theory the atom-atom interactions within the sample are modeled with use of a force-constant matrix that is valid in the harmonic approximation. The tip-atom-sample interactions are modeled by a Lennard-Jones potential. Images for single-atom tips that are calculated from this theory, in which the atoms are allowed to relax, are similar to previous theoretical images that were calculated from a rigid-sample model. The asymmetric images produced by experiment could be reproduced theoretically with double-atom tips. All calculations were performed using a commercially available desk-top computer.
Reference:
Simple theory for the atomic-force microscope with a comparison of theoretical and experimental images of graphite S. A. C. Gould, Kieron Burke, P. K. Hansma, Phys. Rev. B 40, 5363-5366 (1989).
Bibtex Entry:
@article{GBH89,
	Pub-num = {2},
	Abstract = {In this theory the atom-atom interactions within the sample are modeled with use of a force-constant matrix that is valid in the harmonic approximation. The tip-atom-sample interactions are modeled by a Lennard-Jones potential. Images for single-atom tips that are calculated from this theory, in which the atoms are allowed to relax, are similar to previous theoretical images that were calculated from a rigid-sample model. The asymmetric images produced by experiment could be reproduced theoretically with double-atom tips. All calculations were performed using a commercially available desk-top computer.},
	Author = {Gould, S. A. C. and Kieron Burke and P. K. Hansma},
	Date-Modified = {2013-02-12 00:16:04 +0000},
	Doi = {10.1103/PhysRevB.40.5363},
	Journal = {Phys. Rev. B},
	Month = {Sep},
	Number = {8},
	Pages = {5363-5366},
	Publisher = {American Physical Society},
	Title = {Simple theory for the atomic-force microscope with a comparison of theoretical and experimental images of graphite},
	url = {https://journals.aps.org/prb/abstract/10.1103/PhysRevB.40.5363},
	Volume = {40},
	Year = {1989},
	Bdsk-Url-1 = {http://dx.doi.org/10.1103/PhysRevB.40.5363}}
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