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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

Intermodulation atomic force microscopy (IMAFM) is a dynamic mode of atomic force microscopy (AFM) with two-tone excitation. The oscillating AFM cantilever in close proximity to a surface experiences the nonlinear tip-sample force which…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 Daniel Platz , Erik A. Tholen , Carsten Hutter , Arndt C. von Bieren , David B. Haviland

In atomic force microscopy (AFM) tip-surface interactions are usually considered as functions of the tip position only, so-called force curves. However, tip-surface interactions often depend on the tip velocity and the past tip trajectory.…

Mesoscale and Nanoscale Physics · Physics 2013-01-31 Daniel Platz , Daniel Forchheimer , Erik A. Tholén , David B. Haviland

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

We propose a new method to investigate interactions involved in atomic force microscopy (AFM). It is a dynamical method relying on the growth of oscillations via parametric resonance. With this method the second and third derivatives of the…

Materials Science · Physics 2007-05-23 Franz-Josef Elmer

We present polynomial force reconstruction from experimental intermodulation atomic force microscopy (ImAFM) data. We study the tip-surface force during a slow surface approach and compare the results with amplitude-dependence force…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 Daniel Platz , Daniel Forchheimer , Erik A. Tholen , David B. Haviland

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

Tapping mode atomic force microscopy (AFM), also known as amplitude modulated (AM) or AC mode, is a proven, reliable and gentle imaging mode with widespread applications. Over the several decades that tapping mode has been in use,…

Mesoscale and Nanoscale Physics · Physics 2017-09-07 Marta Kocun , Aleksander Labuda , Waiman Meinhold , Irene Revenko , Roger Proksch

Forces acting between an Atomic Force Microscope (AFM) tip and sample are three dimensional. Despite this, most AFM force measurements are confined to one or two dimensions. Extending AFM force measurements into three dimensions has…

Mesoscale and Nanoscale Physics · Physics 2025-04-21 Roger Proksch , Ryan Wagner

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 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

Atomic force microscopy (AFM) is a versatile nanoscale imaging technique. Since its spatiotemporal resolution is fundamentally limited by the minimum detectable force (MDF) arising from system noise, a deep understanding of MDF is essential…

Applied Physics · Physics 2026-01-16 Kenichi Umeda , Noriyuki Kodera

The quantitative interatomic force measurements open a new pathway to materials characterization, surface science, and chemistry by elucidating the force between 'two' interacting atoms as a function of their separation. Atomic force…

Applied Physics · Physics 2024-06-19 Omur E Dagdeviren

We present an alternative approach to pump-probe spectroscopy for measuring fast charge dynamics with an atomic force microscope (AFM). Our approach is based on coherent multifrequency lock-in measurement of the intermodulation between a…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Riccardo Borgani , David B. Haviland

Atomically-resolved imaging and force measurements using the atomic force microscope (AFM) are performed most commonly in a frequency-modulation (FM) mode. This has led to spectacular results, including direct observation of the atomic…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 John E. Sader , Barry D. Hughes , Ferdinand Huber , Franz J. Giessibl

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

Atomic force microscopy (AFM) is a mechanical profiling technique that allows to image surfaces with atomic resolution. Recent progress in reducing the noise of this technique has led to a resolution level where previously undetectable…

Materials Science · Physics 2015-06-24 F. J. Giessibl , H. Bielefeldt , S. Hembacher , J. Mannhart

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

Knowledge of surface forces is the key to understanding a large number of processes in fields ranging from physics to material science and biology. The most common method to study surfaces is dynamic atomic force microscopy (AFM). Dynamic…

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

In this article, we present a deflection measurement setup for Atomic Force Microscopy (AFM). It is based on a quadrature phase differential interferometer: we measure the optical path difference between a laser beam reflecting above the…

Instrumentation and Detectors · Physics 2015-06-16 Pierdomenico Paolino , Felipe A. Aguilar Sandoval , Ludovic Bellon
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