Quantitative elasticity evaluation by contact resonance in an atomic forcemicroscope

K. Yamanaka, S. Nakano

Research output: Contribution to journalArticlepeer-review

127 Citations (Scopus)


We present a local elasticity measurement from the resonance frequency of a cantilever vibrated at its base. A sharp tip on top of the cantilever is in contact with the sample surface at a servo-controlled constant static force. The advantage of a continuum model for the cantilever vibration over the localized-spring model in the elasticity measurement is proved quantitatively. As an application, Young's modulus of soda lime glass was measured and a smooth radial gradient of Young's modulus of about 29% was observed for the first time on a cross section of a carbon fiber of diameter 7 μm. Further improvement of the independent shear stiffness measurement was proposed by a theoretical analysis of torsional vibration with a boundary condition for the elastically supported tip.

Original languageEnglish
Pages (from-to)S313-S317
JournalApplied Physics A: Materials Science and Processing
Issue numberSUPPL. 1
Publication statusPublished - 1998 Dec 1

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)


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