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

Shueei Muh Lin, Sen Yung Lee, Kuen Wey Lin

Research output: Contribution to journalArticle

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)897-910
Number of pages14
JournalJournal of Mechanics of Materials and Structures
Issue number5
Publication statusPublished - 2007 May

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Applied Mathematics

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