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Search for "spring constant" in Full Text gives 172 result(s) in Beilstein Journal of Nanotechnology.

Mismatch detection in DNA monolayers by atomic force microscopy and electrochemical impedance spectroscopy

  • Maryse D. Nkoua Ngavouka,
  • Pietro Capaldo,
  • Elena Ambrosetti,
  • Giacinto Scoles,
  • Loredana Casalis and
  • Pietro Parisse

Beilstein J. Nanotechnol. 2016, 7, 220–227, doi:10.3762/bjnano.7.20

Graphical Abstract
  • remove loosely bound molecules and placed in a customised liquid cell for the AFM experiments. All AFM experiments were carried out on a XE-100 Park Instruments with a customised liquid cell. Si cantilevers (NSC36B Mikromasch, spring constant: 0.6 N/m) were used for the nanografting experiments. Briefly
  • cantilevers (CSC38 Mikromasch, spring constant: 0.06 N/m) at 1 Hz scan rate, applying a force of 0.1 nN. Hybridization was monitored after the addition of the required target solutions (1 μM target in TE buffer 1 M NaCl) into the AFM liquid cell for 1 h. All DNA sequences used in the present work are listed
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Published 09 Feb 2016

Kelvin probe force microscopy for local characterisation of active nanoelectronic devices

  • Tino Wagner,
  • Hannes Beyer,
  • Patrick Reissner,
  • Philipp Mensch,
  • Heike Riel,
  • Bernd Gotsmann and
  • Andreas Stemmer

Beilstein J. Nanotechnol. 2015, 6, 2193–2206, doi:10.3762/bjnano.6.225

Graphical Abstract
  • perturbed by the tip–sample interaction force , where z(t) is the cantilever deflection, ω0 the eigenfrequency, k the spring constant, and Q the quality factor of the cantilever. For an oscillation with amplitude A and drive frequency ωd ≈ ω0, the interaction force can be approximated to where z0 is the
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Published 23 Nov 2015

Development of a novel nanoindentation technique by utilizing a dual-probe AFM system

  • Eyup Cinar,
  • Ferat Sahin and
  • Dalia Yablon

Beilstein J. Nanotechnol. 2015, 6, 2015–2027, doi:10.3762/bjnano.6.205

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  • using beam-bounce technology, this technique incorporates a second probe system with an ultra-high resolution for depth sensing. The additional second probe measures only the vertical movement of the straight indenter attached to a tuning-fork probe with a high spring constant and it can also be used
  • optical lever method. With this methodology, a laser beam is reflected off the back end of the cantilever and directed towards a quadrant photodiode detector that monitors both vertical and lateral motion [9]. Force–distance (FD) curves can be generated based on displacement data and the spring constant
  • . This gives ultra-sensitive and high resolution capability in terms of true depth sensing during nanoindentation. With this approach, only the Z axis motion of the straight indenter is monitored, independent of any possible tuning fork bending that may occur in spite of the very large spring constant of
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Published 12 Oct 2015

A simple method for the determination of qPlus sensor spring constants

  • John Melcher,
  • Julian Stirling and
  • Gordon A. Shaw

Beilstein J. Nanotechnol. 2015, 6, 1733–1742, doi:10.3762/bjnano.6.177

Graphical Abstract
  • of the spring constant of the sensor and complications from finite tip heights. Here we combine a numerical investigation of the force reconstruction with an experimental characterization of the flexural mechanics of the qPlus sensor. Numerical studies reveal significant errors in reconstructed force
  • agreement with theoretical predictions for the geometry and material properties of the sensor once a peaked ridge in the beam cross section is included. We further develop a correction necessary to adjust the spring constant for the size and placement of the tip. Keywords: atomic force microscopy
  • traditional silicon microcantilevers for ncAFM. The stiff spring constant of the tuning fork enables precise control over the tip–sample separation at short stand-off distances despite relatively large van der Waals interactions. Moreover, the mass production of tuning forks for timing applications has
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Published 14 Aug 2015

Atomic force microscopy as analytical tool to study physico-mechanical properties of intestinal cells

  • Christa Schimpel,
  • Oliver Werzer,
  • Eleonore Fröhlich,
  • Gerd Leitinger,
  • Markus Absenger-Novak,
  • Birgit Teubl,
  • Andreas Zimmer and
  • Eva Roblegg

Beilstein J. Nanotechnol. 2015, 6, 1457–1466, doi:10.3762/bjnano.6.151

Graphical Abstract
  • determined. For all calculations a cantilever spring constant of 0.1 N/m was assumed (specified by the manufactures). A matlab program based on Butt et al. [65] was used for data handling and plotting. SEM analyses of the Caco-2 monolayer (A, B) and the Caco-2/M cell co-culture (C, D). The most prominent
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Published 06 Jul 2015

Improved atomic force microscopy cantilever performance by partial reflective coating

  • Zeno Schumacher,
  • Yoichi Miyahara,
  • Laure Aeschimann and
  • Peter Grütter

Beilstein J. Nanotechnol. 2015, 6, 1450–1456, doi:10.3762/bjnano.6.150

Graphical Abstract
  • ) systems, a large variety of commercial cantilevers exist. For each measurement mode, e.g., tapping, contact, non-contact, etc. optimized cantilevers are offered. These cantilevers differ in parameters like dimension, spring constant, resonance frequency and tip size. Most cantilever models are available
  • were chosen for this study. First, a soft (≈0.01 N/m) cantilever mainly used for contact mode and force–distance measurements, where a low spring constant and low 1/f noise are the most important parameters. Second, a stiff (≈29 N/m) cantilever typically used in high resolution UHV AFM applications
  • was calculated. The spring constant of the cantilevers and optical-lever sensitivities were measured by fitting the thermal vibration peak of the fundamental flexural mode acquired in air. The obtained optical-lever sensitivities are used to convert the noise density spectra to be expressed in fm
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Published 03 Jul 2015

Scalable, high performance, enzymatic cathodes based on nanoimprint lithography

  • Dmitry Pankratov,
  • Richard Sundberg,
  • Javier Sotres,
  • Dmitry B. Suyatin,
  • Ivan Maximov,
  • Sergey Shleev and
  • Lars Montelius

Beilstein J. Nanotechnol. 2015, 6, 1377–1384, doi:10.3762/bjnano.6.142

Graphical Abstract
  • SPM with a Nanoscope V control unit from Bruker AXS (Santa Barbara, CA, USA). The AFM was operated in the ScanAsyst mode. All images were obtained in air and at room temperature. Triangular silicon nitride cantilevers with a nominal spring constant of 0.4 N·m−1 (ScanAsyst Air probes, Bruker AXS) were
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Published 22 Jun 2015

Nanomechanical humidity detection through porous alumina cantilevers

  • Olga Boytsova,
  • Alexey Klimenko,
  • Vasiliy Lebedev,
  • Alexey Lukashin and
  • Andrey Eliseev

Beilstein J. Nanotechnol. 2015, 6, 1332–1337, doi:10.3762/bjnano.6.137

Graphical Abstract
  • frequency in dynamic vibration mode. The loading mass can be calculated from the change of resonance frequencies after (ƒ1) and before (ƒ0) adsorption as follows [9][10]: Here, the spring constant k is given by k = (E·w·t3)/(4·l3), where w, t and l are the width, thickness and length of the cantilever and E
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Published 16 Jun 2015

Tattoo ink nanoparticles in skin tissue and fibroblasts

  • Colin A. Grant,
  • Peter C. Twigg,
  • Richard Baker and
  • Desmond J. Tobin

Beilstein J. Nanotechnol. 2015, 6, 1183–1191, doi:10.3762/bjnano.6.120

Graphical Abstract
  • fibril networks without particle matter, but were of lower quality (Figure 5). AFM fluid imaging has to use a cantilever spring constant that is about two orders of magnitude lower, which makes scanning trickier. Also, the tissue surface becomes softer. Tattoos inevitably fade over time with a
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Published 20 May 2015

Probing fibronectin–antibody interactions using AFM force spectroscopy and lateral force microscopy

  • Andrzej J. Kulik,
  • Małgorzata Lekka,
  • Kyumin Lee,
  • Grazyna Pyka-Fościak and
  • Wieslaw Nowak

Beilstein J. Nanotechnol. 2015, 6, 1164–1175, doi:10.3762/bjnano.6.118

Graphical Abstract
  • (AFM-FS or LFM), the calibration proceeds through similar steps: (1) determination of the photodiode sensitivity converting the measured signal (in V) into a displacement of the cantilever (in nm) and (2) estimation of the cantilever spring constant used to deliver force (in nN). The calibration of
  • deflection measurements carried out during the lateral scanning over a rectangular, reference cantilever with a known normal spring constant. Our method is relatively simple to use, fast, and it does not require any special equipment. In order to verify the extent to which the LFM is suitable for probing
  • knowledge of the normal cantilever spring constant and normal photodetector sensitivity. The nominal, normal spring constant was controlled by monitoring the resonant frequency of a thermally excited cantilever [17], carried out before functionalization with an antibody. Since the resonance frequency of the
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Published 15 May 2015

Stiffness of sphere–plate contacts at MHz frequencies: dependence on normal load, oscillation amplitude, and ambient medium

  • Jana Vlachová,
  • Rebekka König and
  • Diethelm Johannsmann

Beilstein J. Nanotechnol. 2015, 6, 845–856, doi:10.3762/bjnano.6.87

Graphical Abstract
  • displacement is evaluated in the undeformed regions far outside the contact zone. The ratio of force and displacement is the contact stiffness. As we show in the modeling section, the spring constant and the dashpot’s drag coefficient can be easily determined from the shifts of frequency and bandwidth. The
  • often for the small spheres (diameters <500 µm) examined in [10]. Further discussion is outside the scope of this work. Large spheres were chosen here in order to achieve a linear dependence of Δf and ΔΓ on u0. If linear behavior is observed, the complex spring constant in the low-amplitude limit is
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Published 30 Mar 2015

Capillary and van der Waals interactions on CaF2 crystals from amplitude modulation AFM force reconstruction profiles under ambient conditions

  • Annalisa Calò,
  • Oriol Vidal Robles,
  • Sergio Santos and
  • Albert Verdaguer

Beilstein J. Nanotechnol. 2015, 6, 809–819, doi:10.3762/bjnano.6.84

Graphical Abstract
  • resonance frequency f0 ≈ 300 kHz, spring constant k ≈ 45 N/m and nominal tip radius R0 ≈ 10 nm were employed (Nanosensors PPP-NCHR), for which avoiding discontinuity requires a free amplitude A0 ≈ 23 nm. The conversion of the amplitude in volts to amplitude in nm was determined by adjusting the tilt of dmin
  • vs zc curves in the repulsive region till a flat plateau was obtained [34]. The resonance frequency, spring constant and quality factor (Q ≈ 400) of the cantilever were calibrated in situ at a distance smaller than 200 nm from the surface. The resonance frequency was found to decrease approximately
  • tip radius was estimated to be R = R0 · (A0(R)/A0)1.1, according to the experimental observations reported for the case of the critical amplitude Ac [49]. When force curves were collected in contact mode, cantilevers with resonance frequencies f0 ≈ 15 kHz, spring constant k ≈ 0.2 N/m and R ≈ 10 nm
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Published 25 Mar 2015

Mapping of elasticity and damping in an α + β titanium alloy through atomic force acoustic microscopy

  • M. Kalyan Phani,
  • Anish Kumar,
  • T. Jayakumar,
  • Walter Arnold and
  • Konrad Samwer

Beilstein J. Nanotechnol. 2015, 6, 767–776, doi:10.3762/bjnano.6.79

Graphical Abstract
  • , Russia was used in the study. A stiff cantilever with a spring constant, kc, of about 30 N/m and the first free resonance frequency f0 of about 171 kHz was used in the study. The surface topography of the specimens was obtained in tapping mode to select an area with sufficient flatness for acquiring the
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Published 18 Mar 2015

Entropy effects in the collective dynamic behavior of alkyl monolayers tethered to Si(111)

  • Christian Godet

Beilstein J. Nanotechnol. 2015, 6, 583–594, doi:10.3762/bjnano.6.60

Graphical Abstract
  • depend on the spring constant k = (P/E·I)1/2 where I is the moment of inertia of the rod, E its Young modulus, and P the normal compression load. In the context of a molecular layer submitted to compression, conformational changes of the molecules must be taken into account (Figure 1). A gauche defect
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Published 26 Feb 2015

Influence of spurious resonances on the interaction force in dynamic AFM

  • Luca Costa and
  • Mario S. Rodrigues

Beilstein J. Nanotechnol. 2015, 6, 420–427, doi:10.3762/bjnano.6.42

Graphical Abstract
  • constants a and cannot be evaluated from a simple analysis of the spectrum. This does not mean, however, that Equation 6 is incorrect. An important note is that even if the resonance curve is calibrated close to the sample, we assume that k is the spring constant of the cantilever, so that a resonance
  • frequency different from the natural frequency is accounted for only through a rescaling of the effective mass and quality factor. Whereas, if a and are calibrated, the cantilever spring constant is not fixed to any value. The reasoning above assumes that the measurement corresponds to the position of the
  • cannot fulfill this requirement, then the cantilever spring constant can not be used for any quantitative evaluation of the interaction, because in this case the cantilever deflection is not directly proportional to the inverse of its spring constant. Therefore the above condition/simplification must
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Published 10 Feb 2015

Dynamic force microscopy simulator (dForce): A tool for planning and understanding tapping and bimodal AFM experiments

  • Horacio V. Guzman,
  • Pablo D. Garcia and
  • Ricardo Garcia

Beilstein J. Nanotechnol. 2015, 6, 369–379, doi:10.3762/bjnano.6.36

Graphical Abstract
  • mass of the cantilever tip, ω0 is the angular resonant frequency, Q the quality factor, k the spring constant of the fundamental resonance (first flexural mode) and Fts is the tip–sample interaction force. The above equation is applicable when the contributions from higher modes to the cantilever
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Published 04 Feb 2015

Mechanical properties of MDCK II cells exposed to gold nanorods

  • Anna Pietuch,
  • Bastian Rouven Brückner,
  • David Schneider,
  • Marco Tarantola,
  • Christina Rosman,
  • Carsten Sönnichsen and
  • Andreas Janshoff

Beilstein J. Nanotechnol. 2015, 6, 223–231, doi:10.3762/bjnano.6.21

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  • Instrument AG, Berlin, Germany) with HEPES buffered culture medium kept at 37 °C. AFM images were performed in contact mode. Before force spectroscopy measurements the exact spring constant of the used cantilever was determined by thermal noise analysis using software provided by the manufacturer. Local
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Published 20 Jan 2015

Kelvin probe force microscopy in liquid using electrochemical force microscopy

  • Liam Collins,
  • Stephen Jesse,
  • Jason I. Kilpatrick,
  • Alexander Tselev,
  • M. Baris Okatan,
  • Sergei V. Kalinin and
  • Brian J. Rodriguez

Beilstein J. Nanotechnol. 2015, 6, 201–214, doi:10.3762/bjnano.6.19

Graphical Abstract
  • ground potential with respect to the tip. All OLBS and EcFM measurements were performed using a commercial AFM system (Asylum Research, MFP-3D) and as-received Pt/Ir-coated (Nanosensors, PPP-EFM) cantilevers with a nominal mechanical resonant frequency and spring constant of 75 kHz and 2.8 N/m
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Published 19 Jan 2015

Increasing throughput of AFM-based single cell adhesion measurements through multisubstrate surfaces

  • Miao Yu,
  • Nico Strohmeyer,
  • Jinghe Wang,
  • Daniel J. Müller and
  • Jonne Helenius

Beilstein J. Nanotechnol. 2015, 6, 157–166, doi:10.3762/bjnano.6.15

Graphical Abstract
  • protein coatings of PDMS and glass-surfaced wells, a NanoWizzard II AFM (JPK Instruments) mounted on an inverted microscope (Axio Observer.Zi, Zeiss) was used. AFM imaging was performed in intermittent contact mode with a v-shaped cantilever (SNL, Brucker) having a nominal spring constant of 0.58 N/m
  • experiments. 200 µm-long, tip-less, v-shaped, silicon nitride cantilevers having nominal spring constants of 0.06 N/m (NP-O, Bruker) were used for adhesion measurements. The spring constant of every cantilever was determined prior to the experiment using the thermal noise method. Prior to experiments, cells
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Published 14 Jan 2015

Accurate, explicit formulae for higher harmonic force spectroscopy by frequency modulation-AFM

  • Kfir Kuchuk and
  • Uri Sivan

Beilstein J. Nanotechnol. 2015, 6, 149–156, doi:10.3762/bjnano.6.14

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  • –surface interaction Here, k is the effective cantilever spring constant, ω0 is the fundamental resonance frequency in the absence of tip–surface interaction, q(t) is the tip position, γ is the damping coefficient, and F0 and ω are the amplitude and frequency of the driving force, respectively. As the
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Published 13 Jan 2015

Multifunctional layered magnetic composites

  • Maria Siglreitmeier,
  • Baohu Wu,
  • Tina Kollmann,
  • Martin Neubauer,
  • Gergely Nagy,
  • Dietmar Schwahn,
  • Vitaliy Pipich,
  • Damien Faivre,
  • Dirk Zahn,
  • Andreas Fery and
  • Helmut Cölfen

Beilstein J. Nanotechnol. 2015, 6, 134–148, doi:10.3762/bjnano.6.13

Graphical Abstract
  • of the cantilever from the raw displacement data. The spring constant of the cantilever (0.56 N/m) was deduced from its thermal noise spectrum prior to the attachment of the colloidal probe [66]. Magnetite formation inside a gelatin gel matrix (grey) that is placed inside the chitin scaffold of
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Published 12 Jan 2015

The capillary adhesion technique: a versatile method for determining the liquid adhesion force and sample stiffness

  • Daniel Gandyra,
  • Stefan Walheim,
  • Stanislav Gorb,
  • Wilhelm Barthlott and
  • Thomas Schimmel

Beilstein J. Nanotechnol. 2015, 6, 11–18, doi:10.3762/bjnano.6.2

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  • -off, the elongation, Δy, of the trichome in the direction of the force was observed. Assuming Hooke’s law, its spring constant is Likewise, other elastic constants such as Young’s modulus can be determined, as shown later in the section where human head hairs are examined. The contribution of the
  • the average spring constant of the trichomes of Salvinia molesta to be Dpulling = (2.1 ± 0.2 ± 0.2) N/m, where the data denotes the average value, followed by the statistical and systematic errors, respectively. The data also support the assumption that the trichomes serve as soft springs (see above
  • spring constant according to Hooke´s law requires a linear elongation with increasing force, which is also proved by our method. In general, CAT allows the determination of the force–elongation curves of single structural entities. For this purpose, not only the image of the meniscus immediately before
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Published 02 Jan 2015

High-frequency multimodal atomic force microscopy

  • Adrian P. Nievergelt,
  • Jonathan D. Adams,
  • Pascal D. Odermatt and
  • Georg E. Fantner

Beilstein J. Nanotechnol. 2014, 5, 2459–2467, doi:10.3762/bjnano.5.255

Graphical Abstract
  • of the cantilever (P0) as where V0 is the excitation voltage, f0 the excitation frequency, k the spring constant, A the amplitude and Q the quality factor far from the surface [39]. The acquired dissipation is, to a first approximation, only dependent on the materials properties and the additional
  • and inversely with the quality factor. The increased ratio of resonance frequency to spring constant makes it clear that the use of small cantilevers is ideally suited for low-dissipation imaging on multiple dynamic modes. Drive amplitude modulation imaging For biophysical imaging with atomic force
  • in water [40]. One issue of note is that higher eigenmodes have an inherently higher dynamic stiffness that can be up to two orders of magnitude larger than the fundamental mode. This can be problematic for softer samples, as the power dissipated into the sample increases linearly with the spring
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Published 22 Dec 2014

Nanometer-resolved mechanical properties around GaN crystal surface steps

  • Jörg Buchwald,
  • Marina Sarmanova,
  • Bernd Rauschenbach and
  • Stefan G. Mayr

Beilstein J. Nanotechnol. 2014, 5, 2164–2170, doi:10.3762/bjnano.5.225

Graphical Abstract
  • spring constant of 39 N/m. The second resonance mode was used for further analysis. The reduced Young’s modulus was measured by using a reference approach with three reference samples: fused silica (M = 75 GPa), silicon (M = 165 GPa) and sapphire (M = 433 GPa), which were demonstrated to be sufficient
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Published 19 Nov 2014

Modification of a single-molecule AFM probe with highly defined surface functionality

  • Fei Long,
  • Bin Cao,
  • Ashok Khanal,
  • Shiyue Fang and
  • Reza Shahbazian-Yassar

Beilstein J. Nanotechnol. 2014, 5, 2122–2128, doi:10.3762/bjnano.5.221

Graphical Abstract
  • spring constant is 10 pN/nm and tip curvature is 2 nm. The Au-coated AFM probes (CSG10/Au) were gifts from NT-MDT with 2.5 nm adhesive Ti layer and 35 nm Au layer, the nominal spring constant is 110 pN/nm and tip curvature is 35 nm. The aminopropylsilane-coated glass slides (C18-5131-M20) were purchased
  • . When the probe is retracted, the force to break the hydrogen bonds should be detectable. The force spectroscopy experiments were carried out in contact mode at room temperature in isopropanol. The spring constant of the AFM probes were calibrated by using the thermal noise method [30]. The measured
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Published 14 Nov 2014
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