Improved lateral force calibration based on the angle conversion factor in atomic force microscopy

Authors
Choi, DukhyunHwang, WoonbongYoon, Euisung
Issue Date
2007-11
Publisher
WILEY
Citation
JOURNAL OF MICROSCOPY, v.228, no.2, pp.190 - 199
Abstract
A novel calibration method is proposed for determining lateral forces in atomic force microscopy (AFM), by introducing an angle conversion factor, which is defined as the ratio of the twist angle of a cantilever to the corresponding lateral signal. This factor greatly simplifies the calibration procedures. Once the angle conversion factor is determined in AFM, the lateral force calibration factors of any rectangular cantilever can be obtained by simple computation without further experiments. To determine the angle conversion factor, this study focuses on the determination of the twist angle of a cantilever during lateral force calibration in AFM. Since the twist angle of a cantilever cannot be directly measured in AFM, the angles are obtained by means of the moment balance equations between a rectangular AFM cantilever and a simple commercially available step grating. To eliminate the effect of the adhesive force, the gradients of the lateral signals and the twist angles as a function of normal force are used in calculating the angle conversion factor. To verify reliability and reproducibility of the method, two step gratings with different heights and two different rectangular cantilevers were used in lateral force calibration in AFM. The results showed good agreement, to within 10%. This method was validated by comparing the coefficient of friction of mica so determined with values in the literature.
Keywords
TORSIONAL SPRING CONSTANT; MECHANICAL-PROPERTIES; YOUNGS MODULUS; FRICTION; SILICON; TIP; STIFFNESS; C-60; TORSIONAL SPRING CONSTANT; MECHANICAL-PROPERTIES; YOUNGS MODULUS; FRICTION; SILICON; TIP; STIFFNESS; C-60; angle conversion factor; atomic force microscopy; coefficient of friction; lateral force calibration; lateral force calibration factor; mica; twist angle
ISSN
0022-2720
URI
https://pubs.kist.re.kr/handle/201004/134004
DOI
10.1111/j.1365-2818.2007.01837.x
Appears in Collections:
KIST Article > 2007
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