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Various methods of force measurement with the Atomic Force Microscope (AFM) are compared for their ability to accurately determine the tip-surface force from analysis of the nonlinear cantilever motion. It is explained how intermodulation,…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Daniel Platz , Daniel Forchheimer , Erik A. Tholén , David B. Haviland

A common use for atomic force microscopy is to quantify local forces through tip-sample interactions between the probe tip and a sample surface. The accuracy of these measurements depends on the accuracy to which the cantilever spring…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 Aaron Mascaro , Yoichi Miyahara , Omur E. Dagdeviren , Peter Grutter

Amplitude-modulation atomic force microscopy (AM-AFM) measures nanoscale surface structures by detecting changes in the cantilever oscillation amplitude, contributing to materials research. AM-AFM can non-destructively observe fragile…

Applied Physics · Physics 2025-06-18 Kenichi Umeda , Karen Kamoshita , Noriyuki Kodera

Intermodulation atomic force microscopy (ImAFM) is a mode of dynamic atomic force microscopy that probes the nonlinear tip-surface force by measurement of the mixing of multiple tones in a frequency comb. A high $Q$ cantilever resonance and…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 Daniel Platz , Daniel Forchheimer , Erik A. Tholén , David B. Haviland

This paper presents a theoretical study of oscillatory and rotational instabilities of a solid spherical body, levitated electromagnetically in axisymmetric coils made of coaxial circular loops. We apply our previous theory to analyze the…

Classical Physics · Physics 2007-05-23 J. Priede , G. Gerbeth

Conventional dynamic atomic force microscopy (AFM) can be extended to bimodal and multimodal AFM in which the cantilever is simultaneously excited at two ore more resonance frequencies. Such excitation schemes result in one additional…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Daniel Forchheimer , Stanislav S. Borysov , Daniel Platz , David B. Haviland

A mechanism is proposed to describe the occurrence of distance-dependent dissipation peaks in the dynamics of an atomic force microscope tip oscillating over a surface characterized by a charge density wave state. The dissipation has its…

Mesoscale and Nanoscale Physics · Physics 2016-05-13 Franco Pellegrini

This paper presents a research devoted to the study of instability phenomena in non-linear model with a constant brake friction coefficient. This paper outlines the stability analysis and a procedure to reduce and simplify the non-linear…

Chaotic Dynamics · Physics 2012-09-28 Jean-Jacques Sinou , Fabrice Thouverez , Louis Jezequel

Atomic scale friction, an indispensable element of nanotechnology, requires a direct access to, under actual growing shear stress, its successive live phases: from static pinning, to depinning and transient evolution, eventually ushering in…

Materials Science · Physics 2021-02-23 Antoine Lainé , Andrea Vanossi , Antoine Niguès , Erio Tosatti , Alessandro Siria

In atomic force microscopy (AFM), the angle relative to the vertical ($\theta_{i}$) that the tip apex of a cantilever moves is determined by the tilt of the probe holder and the geometries of the cantilever and actuated eigenmode $i$. Even…

Mesoscale and Nanoscale Physics · Physics 2017-08-01 Joseph L. Garrett , Lisa J. Krayer , Kevin J. Palm , Jeremy N. Munday

Tapping mode atomic force microscopy is a standard technique for inspection and analysis at the nanometer scale. The understanding of the non-linear dynamics of the system due to the tip sample interaction is an important prerequisite for a…

Instrumentation and Detectors · Physics 2007-05-23 Robert W. Stark

It was shown recently that the Force Feedback Microscope can avoid the jump-to-contact in Atomic force Microscopy even when the cantilevers used are very soft, thus increasing force resolution. In this letter, we explore theoretical aspects…

Mesoscale and Nanoscale Physics · Physics 2014-06-17 Mario S Rodrigues , Luca Costa , Joel Chevrier , Fabio Comin

Atomic force microscopy is an important tool for characterizing surface acoustic waves, in particular for high frequencies, where the wavelength is too short to be resolved by laser interferometry. A caveat is, that the cantilever…

Mesoscale and Nanoscale Physics · Physics 2022-09-29 Jan Hellemann , Filipp Müller , Madeleine Msall , Paulo V. Santos , Stefan Ludwig

Noncontact atomic force microscopy (NC-AFM) and Kelvin probe force microscopy (KPFM) have become important tools for nanotechnology; however, their contrast mechanisms on the atomic scale are not entirely understood. Here we used chlorine…

The atomic force microscope (AFM) is a versatile, high-resolution tool used to characterize the topography and material properties of a large variety of specimens at nano-scale. The interaction of the micro-cantilever tip with the specimen…

Materials Science · Physics 2011-09-05 David Busch , Qingze Zou , Baskar Ganapathysubramanian

We want to study the dynamics of a simple linear harmonic micro spring which is under the influence of the quantum Casimir force/pressure and thus behaves as a (an) nonlinear (anharmonic) Casimir oscillator. Generally,the equation of motion…

Quantum Physics · Physics 2014-03-14 Habibollah Razmi , Mohammad Reza Mohammadi , Mahnaz Abdollahi , Seyed Mahdi Fazeli

In this paper, the dynamic behaviour of an oscillating tip-microlever system at the proximity of a surface is discussed. The attractive tip-surface interaction is simply described with a Van der Waals dispersive term and a sphere-plane…

Atomic and Molecular Clusters · Physics 2016-08-16 Jean-Pierre Aimé , Gérard Couturier , Rodolphe Boisgard , Laurent Nony

The dynamic behavior of AFM is studied taking into account the nonlinear interaction forces between probe and sample. The exerted forces on the free end of micro-beam are simulated with the third degree polynomial. The effect of some…

Applied Physics · Physics 2020-09-15 Sina Eftekhar , Seyyed Mostafa Mousavi Janbeh Sarayi

Torsional harmonic cantilevers allow measurement of time varying tip-sample forces in tapping-mode atomic force microscopy. Accuracy of these force measurements is important for quantitative nanomechanical measurements. Here we demonstrate…

Instrumentation and Detectors · Physics 2008-11-26 Ozgur Sahin

Small oscillation amplitudes in dynamic atomic force microscopy can lead to invasive and high resolution imaging. Here we discuss small oscillation amplitude imaging in the context of ambient conditions and simultaneously excite the second…

Mesoscale and Nanoscale Physics · Physics 2014-01-30 Sergio Santos