dorsal/arxiv
View SchemaNonlinear dynamical properties of an oscillating tip-cantilever system in the tapping mode
| Authors | Laurent Nony, Rodolphe Boisgard, Jean-Pierre Aimé |
|---|---|
| Categories | |
| ArXiv ID | physics/0510099 |
| URL | https://arxiv.org/abs/physics/0510099 |
| DOI | 10.1063/1.479422 |
| Journal | Journal of Chemical Physics 111(4) (1999) 1615-1627 |
Abstract
The dynamical properties of an oscillating tip-cantilever system are now widely used in the field of scanning force microscopy. The aim of the present work is to get analytical expressions describing the nonlinear dynamical properties of the oscillator in noncontact and intermittent contact situations in the tapping mode. Three situations are investigated: the pure attractive interaction, the pure repulsive interaction, and a mixing of the two. The analytical solutions obtained allow general trends to be extracted: the noncontact and the intermittent contact show a very discriminate variation of the phase. Therefore the measurement of the phase becomes a simple way to identify whether or not the tip touches the surface during the oscillating period. It is also found that the key parameter governing the structure of the dynamical properties is the product of the quality factor by a reduced stiffness. In the attractive regime, the reduced stiffness is the ratio of an attractive effective stiffness and the cantilever one. In the repulsive regime, the reduced stiffness is the ratio between the contact stiffness and the cantilever one. The quality factor plays an important role. For large values of the quality factor; it is predicted that a pure topography can be obtained whatever the value of the contact stiffness. For a smaller quality factor, the oscillator becomes more sensitive to change of the local mechanical properties. As a direct consequence, varying the quality factor, for example with a vacuum chamber, would be a very interesting way to investigate soft materials either to access topographic information or nanomechanical properties.
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"abstract": "The dynamical properties of an oscillating tip-cantilever system are now\nwidely used in the field of scanning force microscopy. The aim of the present\nwork is to get analytical expressions describing the nonlinear dynamical\nproperties of the oscillator in noncontact and intermittent contact situations\nin the tapping mode. Three situations are investigated: the pure attractive\ninteraction, the pure repulsive interaction, and a mixing of the two. The\nanalytical solutions obtained allow general trends to be extracted: the\nnoncontact and the intermittent contact show a very discriminate variation of\nthe phase. Therefore the measurement of the phase becomes a simple way to\nidentify whether or not the tip touches the surface during the oscillating\nperiod. It is also found that the key parameter governing the structure of the\ndynamical properties is the product of the quality factor by a reduced\nstiffness. In the attractive regime, the reduced stiffness is the ratio of an\nattractive effective stiffness and the cantilever one. In the repulsive regime,\nthe reduced stiffness is the ratio between the contact stiffness and the\ncantilever one. The quality factor plays an important role. For large values of\nthe quality factor; it is predicted that a pure topography can be obtained\nwhatever the value of the contact stiffness. For a smaller quality factor, the\noscillator becomes more sensitive to change of the local mechanical properties.\nAs a direct consequence, varying the quality factor, for example with a vacuum\nchamber, would be a very interesting way to investigate soft materials either\nto access topographic information or nanomechanical properties.",
"arxiv_id": "physics/0510099",
"authors": [
"Laurent Nony",
"Rodolphe Boisgard",
"Jean-Pierre Aim\u00e9"
],
"categories": [
"physics.atm-clus"
],
"doi": "10.1063/1.479422",
"journal_ref": "Journal of Chemical Physics 111(4) (1999) 1615-1627",
"title": "Nonlinear dynamical properties of an oscillating tip-cantilever system in the tapping mode",
"url": "https://arxiv.org/abs/physics/0510099"
},
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