Calculation of Young's Modulus Value by Means of AFM
J. J. Roa, G. Oncins, J. Diaz, F. Sanz and M. Segarra
Affiliation: University of Barcelona, Faculty of Chemistry. Department of Materials Science and Metallurgical Engineering, C/ Marti i Franques, 1. 08028 Barcelona Spain.
In the last years, Atomic Force Microscopy (AFM) has become a powerful tool not only to study the surface morphology but also the nanomechanics of all kind of samples. In this paper, the applicability of this technique is reviewed and its basic aspects of operation, advantages and drawbacks of using the AFM probe as a picoindenter (Force Spectroscopy mode, FS-AFM) are discussed. The patents concerning picoindentation measurements are discussed in the text and special attention is paid to measurements performed on hard materials as ceramics, as they have not been as thoroughly reviewed in the literature as in the case of soft matter. The possibilities of AFM in the nanomechanics field include the quantitative determination of the Young's modulus (E) and the transition force from elastic to plastic deformation regimes, the measurement of adhesion forces and deformation mechanisms while applying vertical forces in the range from tens of pN to μN.
Keywords: Hard materials, Young's modulus, AFM-FS, picoindentation technique, Atomic Force Microscopy, nanomechanics, picoindenter, ceramics, , transition force, adhesion forces, Scanning Probe Microscopies (SPMs), Scanning Tunneling Microscope, tun-nelling current, sample topography, microfabricated probe, cylindrical piezoelectric tube, AFM Probes, AFM Operation Modes, elastic penetration depth, Force Spectroscopy (FS), jump-off-contact, Hertz Model, Johnson, Kendall and Roberts (JKR) Model, Derjaguin, Muller and Toporov model, DMT
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