Force modulation with a scanning force microscope: an analysis

A magnetic force modulation microscope (FMM) has been employed to measure the dynamic behavior of a contact between a scanning force microscope (SFM) tip and a surface. Our experimental results show the inefficiency of the classical models (two Kelvin-Voigt elements in parallel). A new model which takes into account the normal and tangential stiffness of the contact, and also the geometrical and mechanical properties of the cantilever which hold the tip, is proposed. This model shows that the natural frequency is sensitive to the normal stiffness, only if the ratio of the normal contact stiffness to the cantilever stiffness is between 0.2 and 200. Above this domain, the natural frequency is sensitive to sliding (Mindlin theory).

[1]  M. Radmacher,et al.  Mapping interaction forces with the atomic force microscope. , 1994, Biophysical Journal.

[2]  Paul K. Hansma,et al.  Imaging adhesion forces and elasticity of lysozyme adsorbed on mica with the atomic force microscope , 1994 .

[3]  Vieira,et al.  Plastic Deformation of Nanometer-Scale Gold Connective Necks. , 1995, Physical review letters.

[4]  P. Hansma,et al.  Using force modulation to image surface elasticities with the atomic force microscope , 1991 .

[5]  Atomic force microscope for chemical sensing , 1994 .

[6]  Burnham,et al.  Probing the surface forces of monolayer films with an atomic-force microscope. , 1990, Physical review letters.

[7]  J. Sader,et al.  Method for the calibration of atomic force microscope cantilevers , 1995 .

[8]  M. Radmacher,et al.  Imaging viscoelasticity by force modulation with the atomic force microscope. , 1993, Biophysical journal.

[9]  Pascal Gallo,et al.  Materials" properties measurements: Choosing the optimal scanning probe microscope configuration , 1996 .

[10]  Pascal Gallo,et al.  Scanning local‐acceleration microscopy , 1996 .

[11]  G. McClelland,et al.  Atomic-scale friction of a tungsten tip on a graphite surface. , 1987, Physical review letters.

[12]  Sandor Kasas,et al.  Deformation and height anomaly of soft surfaces studied with an AFM , 1993 .

[13]  R. Plunkett,et al.  Formulas for Stress and Strain , 1965 .

[14]  Triboscopic description of local wear phenomena under an AFM tip , 1994 .

[15]  S Lees,et al.  Measuring the microelastic properties of biological material. , 1992, Biophysical journal.

[16]  A. Oral,et al.  A novel force microscope and point contact probe , 1993 .

[17]  R. Colton,et al.  Measurement of nanomechanical properties of metals using the atomic force microscope , 1994 .

[18]  J. Frommer,et al.  Force Microscopy Study of Friction and Elastic Compliance of Phase-Separated Organic Thin Films , 1994 .

[19]  Manfred Radmacher,et al.  Atomic force microscope with magnetic force modulation , 1994 .

[20]  B. Gauthier-Manuel.  Direct Measurement of the Short-Range Interaction Between a Tungsten Tip and a Mica Surface , 1992 .