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Atomic force microscopes have proved to be fundamental research tools in many situations where a gentle imaging process is required, and in a variety of environmental conditions, such as the study of biological samples. Among the possible…

Systems and Control · Computer Science 2023-01-05 Marco Coraggio , Martin Homer , Oliver D. Payton , Mario di Bernardo

Atomic force microscopy cantilevers are often, intentionally or not, heated at their extremity. We describe a model to compute the resulting temperature field in the cantilever and in the surrounding fluid on a wide temperature range. In…

Statistical Mechanics · Physics 2021-10-08 Basile Pottier , Ludovic Bellon

We perform simulations and experiments on an oscillating atomic force microscope cantilever approaching a surface, where the intermodulation response of the cantilever driven with two pure harmonic tones is investigated. In the simulations,…

Mesoscale and Nanoscale Physics · Physics 2013-02-25 Daniel Platz , Daniel Forchheimer , Erik A. Tholén , Carsten Hutter , David B. Haviland

The interaction between a rapidly oscillating atomic force microscope tip and a soft material surface is described using both elastic and viscous forces with a moving surface model. We derive the simplest form of this model, motivating it…

Atomic force microscopy is based on tip sample interaction, which is determined by the properties of tip and sample. Unfortunately, in particular in ambient conditions the tip as well as the sample are contaminated, and it is not clear how…

Mesoscale and Nanoscale Physics · Physics 2017-12-19 J. Sánchez , L. Almonte , J. Colchero

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

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

Atomic Force Microscopy (AFM) methods utilizing resonant mechanical vibrations of cantilevers in contact with a sample surface have shown sensitivities as high as few picometers for detecting surface displacements. Such a high sensitivity…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Nina Balke , Stephen Jesse , Ben Carmichael , M. Baris Okatan , Ivan I. Kravchenko , Sergei V. Kalinin , Alexander Tselev

We propose a two-frequency driving scheme in dynamic atomic force microscopy that maximizes the interaction time between tip and sample. Using a stochastic description of the cantilever dynamics, we predict large classical squeezing and a…

Mesoscale and Nanoscale Physics · Physics 2022-01-20 Karl-Peter Marzlin , Bryan Canam , Nisha Rani Agarwal

A new method is introduced for calibrating lateral force as measured by an atomic force microscope (AFM), making use of both an interferometric detector and an optical beam detector on the same instrument. The method may be implemented…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Joel Lefever , Aleksander Labuda , Roger Proksch

A recent article by Falter et al. (Phys. Rev. B 87, 115412 (2013)) presents experimental results using field ion microscopy characterized tips in noncontact atomic force microscopy in order to characterize electrostatic and van der Waals…

Mesoscale and Nanoscale Physics · Physics 2013-08-02 William Paul , Peter Grütter

The aim of this article is to provide a complete analysis of the behavior of a noncontact atomic force microscope (NC-AFM). We start with a review of the equations of motion of a tip interacting with a surface in which the stability…

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

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

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

Using Atomic Force Microscopes (AFM) to manipulate nano-objects is an actual challenge for surface scientists. Basic haptic interfacesbetween the AFM and experimentalists have already been implemented. Themulti-sensory renderings (seeing,…

Graphics · Computer Science 2010-05-31 Sylvain Marliere , Daniela Urma , Jean-Loup Florens , Florence Marchi

This work is a theoretical investigation of the stability of the non-linear behavior of an oscillating tip-cantilever system used in dynamic force microscopy. Stability criterions are derived that may help to a better understanding of the…

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

This paper is a theoretical and a numerical investigation of the stability of a tip-cantilever system used in noncontact atomic force microscopy (NC-AFM) when it oscillates close to a surface. No additional dissipative force is considered.…

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

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

The Transient Fluctuation Theorem is used to calibrate an Atomic Force Microscope by measuring the fluctuations of the work performed by a time dependent force applied between a collo{\"i}dal probe and the surface. From this measure one can…

Mesoscale and Nanoscale Physics · Physics 2020-12-02 Samuel Albert , Aubin Archambault , Artyom Petrosyan , Caroline Crauste-Thibierge , Ludovic Bellon , Sergio Ciliberto

The torsional vibration of atomic force microscope (AFM) cantilevers is critical for high-sensitivity measurements, yet existing models for width-varying cantilevers often rely on approximations that lead to significant discrepancies with…

Applied Physics · Physics 2025-11-25 Le Tri Dat , Nguyen Duy Vy