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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

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

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

Detection of dynamic surface displacements associated with local changes in material strain provides access to a number of phenomena and material properties. Contact resonance-enhanced methods of Atomic Force Microscopy (AFM) have been…

Materials Science · Physics 2016-10-12 Nina Balke , Stephen Jesse , Pu Yu , Ben Carmichael , Sergei V. Kalinin , Alexander Tselev

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

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

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

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

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

Quantifying the tip-sample interaction at the nanoscale in Amplitude Modulation mode AFM is challenging, especially when measuring in liquids. Here, we derive formulas for the tip-sample conservative and dissipative interactions and…

Instrumentation and Detectors · Physics 2015-11-24 Luca Costa , Mario S Rodrigues

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…

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

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

We report a systematic study to determine local elastic properties of surfaces combining atomic force microscope (AFM) with acoustic waves which is known as atomic force acoustic microscopy - AFAM. We describe the methodology of AFAM in…

Materials Science · Physics 2007-05-23 S. Banerjee , N. Gayathri , S. R. Shannigrahi , S. Dash , A. K. Tyagi , B. Raj

Atomic force microscopy (AFM) is widely used to measure surface topography of solid, soft, and living matter at the nanoscale. Moreover, by mapping forces as a function of distance to the surface, AFM can provide a wealth of information…

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

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

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…

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
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