Calculation of thermal noise in atomic force microscopy

Butt, Hans‐Jürgen; Jaschke, Manfred

doi:10.1088/0957-4484/6/1/001

Cited by 1,472 publications

(1,188 citation statements)

References 9 publications

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“…Certainly, Eq. 1 and its connections to the simplest model of a 1D damped oscillator have been discussed many times in the context of AFM experiments (see (15) and references cited therein, as well as (31)(32)(33)(34)(35)(36)(37)), but we were unable to find a case that exactly and fully corresponded to our experiments in the literature. For this reason, we present our own considerations below.…”

Section: Dithering At Low Frequency: the Theoretical Model And Its Anmentioning

confidence: 68%

Can Dissipative Properties of Single Molecules Be Extracted from a Force Spectroscopy Experiment?

Benedetti

Gazizova

Kulik

et al. 2016

Biophysical Journal

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We performed dynamic force spectroscopy of single dextran and titin I27 molecules using small-amplitude and low-frequency (40-240 Hz) dithering of an atomic force microscope tip excited by a sine wave voltage fed onto the tip-carrying piezo. We show that for such low-frequency dithering experiments, recorded phase information can be unambiguously interpreted within the framework of a transparent theoretical model that starts from a well-known partial differential equation to describe the dithering of an atomic force microscope cantilever and a single molecule attached to its end system, uses an appropriate set of initial and boundary conditions, and does not exploit any implicit suggestions. We conclude that the observed phase (dissipation) signal is due completely to the dissipation related to the dithering of the cantilever itself (i.e., to the change of boundary conditions in the course of stretching). For both cases, only the upper bound of the dissipation of a single molecule has been established as not exceeding 3,10 À7 kg=s. We compare our results with previously reported measurements of the viscoelastic properties of single molecules, and we emphasize that extreme caution must be taken in distinguishing between the dissipation related to the stretched molecule and the dissipation that originates from the viscous damping of the dithered cantilever. We also present the results of an amplitude channel data analysis, which reveal that the typical values of the spring constant of a I27 molecule at the moment of module unfolding are equal to 451:5 mN=m, and the typical values of the spring constant of dextran at the moment of chair-boat transition are equal to 30 À 50 mN=m.

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Section: Dithering At Low Frequency: the Theoretical Model And Its Anmentioning

confidence: 68%

Can Dissipative Properties of Single Molecules Be Extracted from a Force Spectroscopy Experiment?

Benedetti

Gazizova

Kulik

et al. 2016

Biophysical Journal

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“…The cantilever stiffness was calibrated employing the thermal method 43 Figure S7 presents an AFM image of the NP system lying on mica due to the disappearance of the water layer after a liquid leakage in the AFM sample holder. Figure S8 suggests that the monolayer is not stable once deposited onto mica since it has the tendency to form aggregates loosing flatness and ordering.…”

Section: Methodsmentioning

confidence: 99%

Real Space Imaging of Nanoparticle Assembly at Liquid–Liquid Interfaces with Nanoscale Resolution

et al. 2016

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Bottom up self-assembly of functional materials at liquid-liquid interfaces has recently emerged as method to design and produce novel 2D nanostructured membranes and devices with tailored properties. Liquid-liquid interfaces can be seen as a "factory floor" for nanoparticle (NP) selfassembly, since NPs are driven there by a reduction of interfacial energy. Such 2D assembly can be characterised by reciprocal space techniques, namely X-ray and neutron scattering or reflectivity.These techniques have drawbacks however, as the structural information is averaged over the finite size of the radiation beam and non-periodic isolated assemblies in 3D or defects may not be easily detected. Real-space in-situ imaging methods are more appropriate in this context, but they often suffer from limited resolution and under-perform or fail when applied to challenging liquid-liquid interfaces. Here we study the surfactant-induced assembly of SiO2 nanoparticle monolayers at a water-oil interface using in-situ atomic force microscopy (AFM) achieving nanoscale resolved imaging capabilities. Hitherto, AFM imaging has been restricted to solid-liquid interfaces since

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“…61 The average value of the three runs was then used to calibrate the force-distance curves and extract bond-rupture forces and force-loading rates. To minimize scattering due to calibration errors all force-distance curves were normalized with respect to the force at the inflection point on the plateau for every temperature individually.…”

Section: Methodsmentioning

confidence: 99%

Mechanically activated rupture of single covalent bonds: evidence of force induced bond hydrolysis

Schmidt

Kersch

Beyer

et al. 2011

Phys. Chem. Chem. Phys.

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We have used temperature-dependent single molecule force spectroscopy to stretch covalently anchored carboxymethylated amylose (CMA) polymers attached to an amino-functionalized AFM cantilever. Using an Arrhenius kinetics model based on a Morse potential as a one-dimensional representation of covalent bonds, we have extracted kinetic and structural parameters of the bond rupture process. With 35.5 kJ mol À1 , we found a significantly smaller dissociation energy and with 9.0 Â 10 2 s À1 to 3.6 Â 10 3 s À1 also smaller Arrhenius pre-factors than expected for homolytic bond scission. One possible explanation for the severely reduced dissociation energy and Arrhenius pre-factors is the mechanically activated hydrolysis of covalent bonds. Both the carboxylic acid amide and the siloxane bond in the amino-silane surface linker are in principle prone to bond hydrolysis. Scattering, slope and curvature of the scattered data plots indicate that in fact two competing rupture mechanisms are observed.

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Calculation of thermal noise in atomic force microscopy

Cited by 1,472 publications

References 9 publications

Can Dissipative Properties of Single Molecules Be Extracted from a Force Spectroscopy Experiment?

Can Dissipative Properties of Single Molecules Be Extracted from a Force Spectroscopy Experiment?

Real Space Imaging of Nanoparticle Assembly at Liquid–Liquid Interfaces with Nanoscale Resolution

Mechanically activated rupture of single covalent bonds: evidence of force induced bond hydrolysis

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