Calibration of rectangular atomic force microscope cantilevers

Sader, John E.; Chon, James W. M.; Mulvaney, Paul

doi:10.1063/1.1150021

Cited by 1,923 publications

(1,535 citation statements)

References 11 publications

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“…The spring constants of the AFM cantilevers were determined by the added mass method, whereby the shift of the resonance frequency was investigated as a function of the added mass of attached tungsten particles, which were in the size range of 5-20 mm. 32 The resulting values in the range of 0.03-0.11 N m À1 were within 30% of the values determined by analyzing the thermal fluctuations in air 33 or the ones obtained with procedure proposed by Sader et al, 34 which uses properties of the cantilever and the surrounding medium. The deviations between the values obtained by the different methods are probably due to the finite spot size of the laser beam on the cantilever, which leads to additional contributions from the higher order harmonics.…”

Section: Direct Force Measurementssupporting

confidence: 75%

Probing the validity of the Derjaguin approximation for heterogeneous colloidal particles

Rentsch

Pericet-Cámara

Papastavrou

et al. 2006

Phys. Chem. Chem. Phys.

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The Derjaguin approximation states that the interaction force between two curved surfaces is proportional to their effective radius, whereby the inverse effective radius is the arithmetic mean of the inverse curvature radii of the surfaces involved. The present study investigates the validity of this approximation with an atomic force microscope (AFM) by measuring interaction forces between colloidal particles of different sizes, but of identical composition. Forces were measured between silica particles of 2.0, 4.8 and 6.8 mm in diameter in KCl electrolyte solution with and without adsorbed poly(amido amine) (PAMAM) dendrimers. The Derjaguin approximation could be confirmed at all distances investigated, including those comparable with the characteristic length scales of the surface roughness or the surface charge heterogeneities. For the conditions investigated, the Derjaguin approximation turns out to be surprisingly robust.

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Section: Direct Force Measurementssupporting

confidence: 75%

Probing the validity of the Derjaguin approximation for heterogeneous colloidal particles

Rentsch

Pericet-Cámara

Papastavrou

et al. 2006

Phys. Chem. Chem. Phys.

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“…The gradient of the linear region of the retracted signal was measured and the mean value of the five gradients set as the cantilever InvOLS. Finally, the cantilever spring constant was determined using the thermal noise method (Sader et al, 1999). Spring constants were typically around 8 N/m and similar to the values of 9 N/m given by the manufacturer.…”

Section: Cantilever-based Nanoindentationmentioning

confidence: 99%

Load-bearing in cortical bone microstructure: Selective stiffening and heterogeneous strain distribution at the lamellar level

Katsamenis

Chong

Andriotis

et al. 2013

Journal of the Mechanical Behavior of Biomedical Materials

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An improved understanding of bone mechanics is vital in the development of evaluation strategies for patients at risk of bone fracture. The current evaluation approach based on bone mineral density (BMD) measurements lacks sensitivity, and it has become clear that as well as bone mass, bone quality should also be evaluated.The latter includes, among other parameters, the bone matrix material properties, which in turn depend on the hierarchical structural features that make up bone as well as their composition. Optimal load transfer, energy dissipation and toughening mechanisms have, to some extent, been uncovered in bone. Yet, the origin of these properties and their dependence upon the hierarchical structure and composition of bone are largely unknown. Here we investigate load transfer in the osteonal and subosteonal levels and the mechanical behaviour of osteonal lamellae and interlamellar areas during loading. Using cantilever-based nanoindentation, in situ microtensile testing during atomic force microscopy (AFM) and digital image correlation (DIC), we report evidence for a previously unknown mechanism. This mechanism transfers load and movement in a manner analogous to the engineered "elastomeric bearing pads" used in large engineering structures. ȝ-RAMAN microscopy investigations 2 showed compositional differences between lamellae and interlamellar areas. The latter have lower collagen content but an increased concentration of noncollagenous proteins (NCPs). Hence, NCPs enriched areas on the microscale might be similarly important for bone failure as on the nanoscale. Finally, we managed to capture stable crack propagation within the interlamellar areas in a time-lapsed fashion, proving their significant contribution towards fracture toughness.

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“…Before gluing the cellulose microparticles, the spring constants of the cantilevers were determined from the analysis of the cantilever thermal vibrations with the software AFM Tune IT v2.5 (ForceIT, Sweden) and the use of Sader's equations. 47,48 Values of about 0.25 N/m and 25 1.9×10 -9 Nm/rad were obtained for the normal and lateral spring constants, respectively. CMC-g-PEG was adsorbed either on NFC film, on the cellulose colloidal probe or on both, from 100 mg/L polymer solution at pH 4.5 overnight, followed by rinsing with deionized water and drying under nitrogen flow.…”

mentioning

confidence: 94%

Direct measurements of non-ionic attraction and nanoscaled lubrication in biomimetic composites from nanofibrillated cellulose and modified carboxymethylated cellulose

et al. 2013

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Calibration of rectangular atomic force microscope cantilevers

Cited by 1,923 publications

References 11 publications

Probing the validity of the Derjaguin approximation for heterogeneous colloidal particles

Probing the validity of the Derjaguin approximation for heterogeneous colloidal particles

Load-bearing in cortical bone microstructure: Selective stiffening and heterogeneous strain distribution at the lamellar level

Direct measurements of non-ionic attraction and nanoscaled lubrication in biomimetic composites from nanofibrillated cellulose and modified carboxymethylated cellulose

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