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The use of atomic force microscopy on nanomechanical measurements requires accurate calibration of the cantilever's spring constant ($k_c$) and the optical lever sensitivity ($OLS$). The thermal method, based on the cantilever's thermal…

Applied Physics · Physics 2021-09-08 Jorge Rodriguez-Ramos , Felix Rico

The dynamical properties of an oscillating tip-cantilever system are now widely used in the field of scanning force microscopy. The aim of the present work is to get analytical expressions describing the nonlinear dynamical properties of…

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

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

In this paper the dynamic behavior of an oscillating tip-microlever system at the proximity of a surface is discussed. We show that the nonlinear behavior of the oscillator is able to explain the high sensitivity of the oscillating tip…

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

Colloidal probes are often used in force microscopy when the geometry of the tip-sample interaction should be well controlled. Their calibration requires the understanding of their mechanical response, which is very sensitive to the details…

Instrumentation and Detectors · Physics 2024-03-08 Aubin Archambault , Caroline Crauste-Thibierge , Ludovic Bellon

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

The electric forces acting on an atomic force microscope tip in solution have been measured using a microelectrochemical cell formed by two periodically biased electrodes. The forces were measured as a function of lift height and bias…

Materials Science · Physics 2008-03-13 B. J. Rodriguez , S. Jesse , K. Seal , A. P. Baddorf , S. V. Kalinin

A spreadsheet algorithm is given for the atomic force microscope that accounts for non-linear behavior in the deflection of the cantilever and in the photo-diode response. In addition, the data analysis algorithm takes into account…

Soft Condensed Matter · Physics 2013-01-15 Phil Attard

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 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

This paper is a theoretical and a numerical investigation of the stability of a tip-cantilever system used in Non-Contact 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

Quality factor plays a fundamental role in dynamic mode atomic force microscopy. We present a technique to modify the quality factor of an atomic force microscopy cantilever within a Fabry-P\'erot optical interferometer. The experimental…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Noah Austin-Bingamon , Binod D. C. , Yoichi Miyahara

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

Mechanical properties of biological samples have been imaged with a \textit{Force Feedback Microscope}. Force, force gradient and dissipation are measured simultaneously and quantitatively, merely knowing the AFM cantilever spring constant.…

Biological Physics · Physics 2014-05-01 Luca Costa , Mario S Rodrigues , Emily Newman , Chloe Zubieta , Joel Chevrier , Fabio Comin

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

When a micro cantilever with a nano-scale tip is manipulated on a substrate with atomic-scale roughness, the periodic lateral frictional force and stochastic fluctuations may induce stick-slip motion of the cantilever tip, which greatly…

Mesoscale and Nanoscale Physics · Physics 2012-04-09 Jing Zhang , Re-Bing Wu , Lei Miao , Ning Xi , Chun-Wen Li , Yue-Chao Wang , Tzyh-Jong Tarn

A self-contained calibration procedure that can be performed automatically without additional external sensors or tools is a significant advantage, especially for complex robotic systems. Here, we show that the kinematics of a…

Robotics · Computer Science 2024-01-09 Johannes Tenhumberg , Leon Sievers , Berthold Bäuml

Measurements of the deflection induced by thermal noise have been performed on a rectangular atomic force microscope cantilever in air. The detection method, based on polarization interferometry, can achieve a resolution of 1E-14 m/rtHz in…

Statistical Mechanics · Physics 2009-11-17 Pierdomenico Paolino , Bruno Tiribilli , Ludovic Bellon

High-harmonic (HH) frequencies in microcantilever impose several applications in precision detection thanks to the higher sensitivity of the higher modes in comparison to the fundamental modes. In this study, we showed that by tuning the…

Applied Physics · Physics 2025-05-27 Le Tri Dat , Chi Cuong Nguyen , Nguyen Duy Vy , Amir F. Payam

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…