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Quantitative elastic modulus measurement by magnetic force modulation microscopy

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Abstract

It is experimentally demonstrated that magnetic force modulation microscopy (MFMM) is a technique allowing quantitative elastic modulus measurements. A model of the cantilever–tip–sample interaction taking into account the lateral contact stiffness (i.e., the friction effects at the level of the tip–sample contact), the position of the magnetic force applied to the cantilever with respect to the tip position, as well as the inclination of the cantilever arm with respect to the sample surface is presented. The model shows that MFMM is much less sensitive to lateral force than the other modulation techniques and thus, in contrast to the latter, that the contrast of the stiffness images can be interpreted as a true elasticity contrast and not as a mixture of friction and elasticity. Thanks to the study of the normal contact stiffness versus normal load that allows the characterization of contact between tip and sample, it is possible to perform quantitative elastic modulus measurements with a dynamic modulation method.

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Authors and Affiliations

  1. Université de Reims, Unité de Thermique et Analyse Physique, EA 2061, 21, rue Clément Ader, 51685, Reims Cedex 2, France

    O. Piétrement & M. Troyon

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  1. O. Piétrement
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  2. M. Troyon
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Piétrement, O., Troyon, M. Quantitative elastic modulus measurement by magnetic force modulation microscopy. Tribology Letters 9, 77–87 (2000). https://doi.org/10.1023/A:1018860528388

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