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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

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

We propose a theoretical framework for reconstructing tip-surface interactions using the intermodulation technique when more than one eigenmode is required to describe the cantilever motion. Two particular cases of bimodal motion are…

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

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

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

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

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

Atomic force microscopy (AFM) enables high-resolution imaging and quantitative force measurement, which is critical for understanding nanoscale mechanical, chemical, and biological interactions. In dynamic AFM modes, however, interaction…

Instrumentation and Detectors · Physics 2025-06-10 Simon Laflamme , Bugrahan Guner , 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

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

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

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

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

We demonstrate an alternative to Kelvin Probe Force Microscopy for imaging surface potential. The open-loop, single-pass technique applies a low-frequency AC voltage to the atomic force microscopy tip while driving the cantilever near its…

Mesoscale and Nanoscale Physics · Physics 2014-10-14 Riccardo Borgani , Daniel Forchheimer , Jonas Bergqvist , Per-Anders Thorén , Olle Inganäs , 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

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

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

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) 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
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