Cantilever Dynamics and Nonlinear Effects in Atomic Force Microscopy

Raman, Arvind; Reifenberger, R.; Melcher, John; Tung, Ryan C.

doi:10.1007/978-3-642-01495-6_18

Cited by 3 publications

(3 citation statements)

References 181 publications

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“…44 Also anti-symmetric eigenmodes of triangular cantilevers cause only a torsional deflection of the tip and no normal deflection. 48,49 Because VEDA is not able to model torsional deflections, these eigenmodes cannot be simulated.…”

Section: B Cantilever Dynamicsmentioning

confidence: 99%

Gaining insight into the physics of dynamic atomic force microscopy in complex environments using the VEDA simulator

Kiracofe

Melcher

Raman

2012

Review of Scientific Instruments

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Dynamic atomic force microscopy (dAFM) continues to grow in popularity among scientists in many different fields, and research on new methods and operating modes continues to expand the resolution, capabilities, and types of samples that can be studied. But many promising increases in capability are accompanied by increases in complexity. Indeed, interpreting modern dAFM data can be challenging, especially on complicated material systems, or in liquid environments where the behavior is often contrary to what is known in air or vacuum environments. Mathematical simulations have proven to be an effective tool in providing physical insight into these non-intuitive systems. In this article we describe recent developments in the VEDA (virtual environment for dynamic AFM) simulator, which is a suite of freely available, open-source simulation tools that are delivered through the cloud computing cyber-infrastructure of nanoHUB (www.nanohub.org). Here we describe three major developments. First, simulations in liquid environments are improved by enhancements in the modeling of cantilever dynamics, excitation methods, and solvation shell forces. Second, VEDA is now able to simulate many new advanced modes of operation (bimodal, phase-modulation, frequency-modulation, etc.). Finally, nineteen different tip-sample models are available to simulate the surface physics of a wide variety different material systems including capillary, specific adhesion, van der Waals, electrostatic, viscoelasticity, and hydration forces. These features are demonstrated through example simulations and validated against experimental data, in order to provide insight into practical problems in dynamic AFM.

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Section: B Cantilever Dynamicsmentioning

confidence: 99%

Gaining insight into the physics of dynamic atomic force microscopy in complex environments using the VEDA simulator

Kiracofe

Melcher

Raman

2012

Review of Scientific Instruments

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“…Water et al [14] analyzed a special mathematical map that exhibits square root singularities, which directly leads to an infinite series period-doubling bifurcation in the system. Roman et al [15,16] discussed the three-dimensional characteristic modes of…”

Section: Introductionmentioning

confidence: 99%

The Impact of the Damping Coefficient on the Dynamic Stability of the TM-AFM Microcantilever Beam System

Song,

Li,

Cui

et al. 2024

Applied Sciences

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The tapping-mode atomic force microscope (TM-AFM) is widely used today; however, improper matching between the operating medium and the sampling time may lead to inaccurate measurement results. The relationship between the damping coefficient and the steady state of the TM-AFM microcantilever is investigated in this paper using multiple stability theory. Firstly, the effects of changes in dimensionless linear damping coefficients and dimensionless piezoelectric film damping coefficients on the motion stability of the system are examined using bifurcation diagrams, phase trajectories, and domains of attraction. Subsequently, the degrees of effect of the two damping coefficients on the stability of the system are compared. Finally, the bi-parametric bifurcation characteristics of the system under a specific number of iterative cycles are investigated using the bi-parametric bifurcation diagram in conjunction with the actual working conditions, and the boundary conditions for the transition of the system’s motion from an unstable state to a stable state are obtained. The results of the study show that to ensure the accuracy and reliability of the individual measurement data in 500 iteration cycles, the dimensionless linear damping coefficient must be greater than 0.01014. Our results will provide valuable references for TM-AFM measurement media selection, improving TM-AFM imaging quality, measurement accuracy and maneuverability, and TM-AFM troubleshooting.

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“…The nonlinear dynamics of AFM cantilevers in air or vacuum environments is well studied now (See [4] for a literature review). Some of the key results include: the co-existence of multiple stable oscillation states of resonantly excited cantilevers in tapping mode due to van der Waals and nanoscale repulsive interactions and their respective domains of attraction (i.e the attractive and repulsive regimes) [5]; the possibility of grazing bifurcations [6]; the possibility of chaotic dynamics and their control [7][8][9][10]; and the possibility of nonlinear modal interactions [11,12].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of atomic force microscope microcantilevers in liquid environments - a review

Raman¹,

Kiracofe²

2013

NOLTA

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Surface forces at the liquid-solid interface play a fundamental role in a wide range of scientific disciplines including electrochemistry, energy storage, wetting, catalysis, environmental science, biochemistry, biophysics, and physical biology. Dynamic Atomic Force Microscopy (dAFM) is being increasingly used to quantify and map these forces with nanometer resolution. In dynamic AFM surface forces are sensed from the changes they cause in the nonlinear dynamics of the oscillating AFM cantilever. However, the dynamics of the AFM cantilever at liquid-solid interface differs significantly compared to air or vacuum environments due to both the low Q-factor of the cantilever in liquids as well as the unique nature of intermolecular forces at solid-liquid interface. In this article we review the state-of-art of understanding of nonlinear dynamics of AFM microcantilevers in liquid environments and outline the many open areas of research both in mathematical modeling and in experiments that remain to be explored.

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Cantilever Dynamics and Nonlinear Effects in Atomic Force Microscopy

Cited by 3 publications

References 181 publications

Gaining insight into the physics of dynamic atomic force microscopy in complex environments using the VEDA simulator

Gaining insight into the physics of dynamic atomic force microscopy in complex environments using the VEDA simulator

The Impact of the Damping Coefficient on the Dynamic Stability of the TM-AFM Microcantilever Beam System

Nonlinear dynamics of atomic force microscope microcantilevers in liquid environments - a review

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