Dynamic analysis of tapping-mode AFM considering capillary force interactions

Korayem, M. H.; Kavousi, A.; Ebrahimi, N.

doi:10.1016/j.scient.2011.03.014

Cited by 44 publications

(22 citation statements)

References 19 publications

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“…When vibration is introduced to the cantilever, first proposed by Binning, Quate, and Gerber (), effect of force gradients influences its frequency shift (Martin, Williams, & Wickramasinghe, ; Meyer & Amer, ) and gives the option of noncontact scanning measurement. When the vibrating tip touches the sample, it is affected by adhesive, repulsive, and even capillary forces to some extent (Korayem, Kavousi, & Ebrahimi, ). The sample–tip interaction results then in change of both frequency and phase shift as well.…”

Section: Methodsmentioning

confidence: 99%

Analysis of color shift on butterfly wings by Fourier transform of images from atomic force microscopy

Kaspar

Sobola

Sedlák

et al. 2019

Microscopy Res & Technique

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Butterfly wings have complex structure lending it several interesting properties.Coloration of the wing is one of the first things to encounter and the overall visual effect is in fact influenced by several factors. Chemical pigments set the base color of the wing, topographical structures on the wing scales cause color shift by interference and their arrangement into diffraction grating causes iridescence. The thin film interference can be attributed to microscopic ridges covering wing scales. Observation and calculation of the color shift on wings of Euploea mulciber species using Fourier transform of images obtained by atomic force microscopy is the focus of this article. By using Fourier transform infrared spectroscopy it was established that both top and bottom sides of the wing of Euploea mulciber have the same chemical composition, even though they have different color. This change of color can be attributed to thin film interference, which was analyzed and calculated by using Fourier transform of images acquired by atomic force microscopy. K E Y W O R D S AFM, butterfly wing, Fourier transform, FTIR

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Section: Methodsmentioning

confidence: 99%

Analysis of color shift on butterfly wings by Fourier transform of images from atomic force microscopy

Kaspar

Sobola

Sedlák

et al. 2019

Microscopy Res & Technique

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“…Also, external forces include the forces between the MC tip and the sample surface and also effective environmental forces. And the forces between the MC tip and the sample surface (F ts ), include van der Waals, capillary and contact repulsive forces [18]. Using the Hamilton principle, the equation of MC vibration motion in a liquid environment is derived according to the equation (1) based on the MCS theory [19].…”

Section: Governing Equation Of Motion Based On Variations In Crossmentioning

confidence: 99%

“…The value of a has a good effect on the Duhem performance, as well as on the functions f and g(v), and determines the shape of the hysteresis loop. Based on the theory, polynomial functions are defined for functions f and g. By solving these two equations, the final relation of the Duhem model is extracted as equation (18). The values of a i and b i are calculated by the value of a and the coefficients of f(v) and g(v).…”

Section: Piezoelectric MC Mass and Stiffness Matrixmentioning

confidence: 99%

Analysis of hysteresis effect on the vibration behavior of AFM intelligent MC in the vicinity of sample surface by considering the size effect in air and liquid

Korayem

Taghizadeh

Emadi

2018

Eur. Phys. J. Appl. Phys.

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Nowadays, scientists consider AFM as a powerful Nanorobot for the measurement of inter-molecular forces as well as identification and topography of sample surfaces. In order to enhance the performance of this Nanorobot, the modified couple stress (MCS) theory in the air and the liquid environment has used to reduce the error resulting from the modeling of AFM microcantilever (MC) based on classic continuum mechanic theory. In this paper, using the Hamiltonian principle and based on the Euler Bernoulli beam theory, motion equations are extracted taking into account the capillary, van der Waals and contact forces between the tip and the sample, as well as the hydrodynamic and the squeeze force in the liquid environment. Modeling is carried out for two dagger and rectangular geometries considering the geometric discontinuities due to the presence of a piezoelectric layer enclosed between the two sides of the electrode and the change in the cross-section of the MC when connecting the probe to the MC. Galerkin method is employed for the discretization of equations. In order to analyze the effects of geometry and environment on the MC vibration behavior, the time and frequency response are obtained at distances away from the surface for both MC geometries in the air and liquid environment. Comparison results suggest that the natural frequency is reduced due to the added mass of the dagger MC. This reduction is more tangible in the liquid environment because of the added mass. Also, the effect of the hysteresis phenomenon caused by the ferromagnetic property of materials is analyzed in order to approximate the theoretical model to the real model using the PI, Bouce-van and Duhem models. Surface topography is illustrated considering the hysteresis effect on rectangular and dagger MC. According to the results, the amplitude is amplified by using the three models. This amplification is higher in the PI model.

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“…In domain II, the tip is closer to the sample surface and the tip-sample interaction force is a combination of attractive Van der Waals and capillary force contributions. Domain III corresponds to the state in which d a 0 ; therefore, the Van der Waals and capillary forces are assumed constant and the DMT repulsive force is added too [17].…”

Section: Modeling the Tip-sample Interaction Forcesmentioning

confidence: 99%

Effect of geometrical and environmental parameters on vibration of multi-layered piezoelectric microcantilever in amplitude mode

2015

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In this paper, the vibration motions of multilayered piezoelectric microcantilevers (MCs) are analyzed in which these MCs are able to perform both actuating and sensing of tip deflection simultaneously. With respect to the presence of piezoelectric layers, these MCs modeled in several structures such as two layers and two segments. The governing equations of motion for these MCs are obtained using Hamilton's principle. It should be noted that the microcantilever (MC) is modeled as a continuous beam based on Euler-Bernoulli beam theory. Then, the obtained differential equation is solved by finite element method and the time response is obtained using Newmark method. In simulation of the vibrating behavior of MCs in contact mode, the flexible beam model includes attractive, adhesive and repulsive forces, as well as the interaction of the capillary fluid layers. In order to study vibrating motion of MC, the effect of air moisture and the tip-sample equilibrium distance as environmental parameters on the amplitude and current output are investigated, and also, a sensitivity analyses are conducted on the amplitude and current output of sensor in terms of the geometrical parameters of the MC layers and the results are analyzed.

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Dynamic analysis of tapping-mode AFM considering capillary force interactions

Cited by 44 publications

References 19 publications

Analysis of color shift on butterfly wings by Fourier transform of images from atomic force microscopy

Analysis of color shift on butterfly wings by Fourier transform of images from atomic force microscopy

Analysis of hysteresis effect on the vibration behavior of AFM intelligent MC in the vicinity of sample surface by considering the size effect in air and liquid

Effect of geometrical and environmental parameters on vibration of multi-layered piezoelectric microcantilever in amplitude mode

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