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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

Atomic Force Microscopy with SideWall (AFM SW) is widely used for nano-scale surface measurements at side surfaces. In the current study, by taking into consideration the effects of sidewall beam and its probe, an analytical method is…

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

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

We demonstrate the measurement of laterally induced optical forces using an Atomic Force Microscope (AFM). The lateral electric field distribution between a gold coated AFM probe and a nano-aperture in a gold film is mapped by measuring the…

Frequency dependent dynamic behavior in Piezoresponse Force Microscopy (PFM) implemented on a beam-deflection atomic force microscope (AFM) is analyzed using a combination of modeling and experimental measurements. The PFM signal comprises…

Materials Science · Physics 2015-06-25 Stephen Jesse , Arthur P. Baddorf , Sergei V. Kalinin

We discuss the influence of external forces on the motion of the tip in dynamic atomic force microscopy (AFM). First, a compact solution for the steady-state problem is derived employing a Fourier approach. Founding on this solution, we…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Tino Wagner

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

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

The functionalization of an Atomic Force Microscope (AFM) cantilever with a colloidal bead is a widely used technique when the geometry between the probe and the sample must be controlled, particularly in force spectroscopy. But some…

Mesoscale and Nanoscale Physics · Physics 2013-05-09 Justine Laurent , Audrey Steinberger , Ludovic Bellon

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

The distance dependence and atomic-scale contrast observed in nominal contact potential difference (CPD) signals recorded by KPFM on surfaces of insulating and semiconducting samples, have stimulated theoretical attempts to explain such…

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

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

In multifrequency atomic force microscopy higher eigenmodes are externally excited to enhance resolution and contrast while simultaneously increasing the number of experimental observables with the use of gentle forces. Here, the…

Mesoscale and Nanoscale Physics · Physics 2014-07-14 Sergio Santos , Victor Barcons

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

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 frequency-dependent amplitude and phase in piezoresponse force microscopy (PFM) measurements are shown to be a consequence of the Euler-Bernoulli (EB) dynamics of atomic force microscope (AFM) cantilever beams used to make the…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 Roger Proksch

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…

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

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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