Vol. 2, No. 5, 2007

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Exact solutions of AFM scanning probes subjected to tip-sample forces

Shueei-Muh Lin, Sen-Yung Lee and Kuen-Wey Lin

Vol. 2 (2007), No. 5, 897–910

In this study, an analytical method for the static deflection of an AFM nonuniform probe subjected to tip-sample forces is presented. The effects of the Lennard-Jones and electrostatic noncontact forces and a contact force on the deflection of a cantilever are investigated. The contact force is simulated by the Derjaguin–Muller–Toporov model. In general, when an atomic force microscopy is used to measure a sample’s topography and properties, a jump phenomenon of a cantilever usually exists. Unfortunately, there is a lack of a complete and precise description about this jump phenomenon. This proposed analytical method is helpful to investigate precisely the jump phenomenon. Moreover, the effects of several parameters on the jump phenomenon are studied. Finally, several simple and general relations between the deflection of beam and the tip-sample distance are presented.

AFM, exact solution, contact force
Received: 16 June 2006
Accepted: 10 February 2007
Published: 1 July 2007
Shueei-Muh Lin
Mechanical Engineering Department
Kun Shan University
Tainan 710-03
Sen-Yung Lee
Mechanical Engineering Department
National Cheng Kung University
Tainan 701
Kuen-Wey Lin
Mechanical Engineering Department
National Cheng Kung University
Tainan 701