Effect of tip mass on frequency response and sensitivity of AFM cantilever in liquid

Amir Farokh Payam, Morteza Fathipour

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The effect of tip mass on the frequency response and sensitivity of atomic force microscope (AFM) cantilever in the liquid environment is investigated. For this purpose, using Euler–Bernoulli beam theory and considering tip mass and hydrodynamic functions in a liquid environment, an expression for the resonance frequencies of AFM cantilever in liquid is derived. Then, based on this expression, the effect of the surface contact stiffness on the flexural mode of a rectangular AFM cantilever in fluid is investigated and compared with the case where the AFM cantilever operates in the air. The results show that in contrast with an air environment, the tip mass has no significant impact on the resonance frequency and sensitivity of the AFM cantilever in the liquid. Hence, analysis of AFM behaviour in liquid environment by neglecting the tip mass is logical.
LanguageEnglish
JournalMicron
Volume70
DOIs
Publication statusPublished - 4 Dec 2014

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frequency response
microscopes
sensitivity
liquids
Euler-Bernoulli beams
air
stiffness
hydrodynamics
fluids

Keywords

  • Tip mass
  • Cantilever
  • Sensitivity
  • Frequency Response
  • Liquid

Cite this

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title = "Effect of tip mass on frequency response and sensitivity of AFM cantilever in liquid",
abstract = "The effect of tip mass on the frequency response and sensitivity of atomic force microscope (AFM) cantilever in the liquid environment is investigated. For this purpose, using Euler–Bernoulli beam theory and considering tip mass and hydrodynamic functions in a liquid environment, an expression for the resonance frequencies of AFM cantilever in liquid is derived. Then, based on this expression, the effect of the surface contact stiffness on the flexural mode of a rectangular AFM cantilever in fluid is investigated and compared with the case where the AFM cantilever operates in the air. The results show that in contrast with an air environment, the tip mass has no significant impact on the resonance frequency and sensitivity of the AFM cantilever in the liquid. Hence, analysis of AFM behaviour in liquid environment by neglecting the tip mass is logical.",
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Effect of tip mass on frequency response and sensitivity of AFM cantilever in liquid. / Farokh Payam, Amir; Fathipour, Morteza.

In: Micron , Vol. 70, 04.12.2014.

Research output: Contribution to journalArticle

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AB - The effect of tip mass on the frequency response and sensitivity of atomic force microscope (AFM) cantilever in the liquid environment is investigated. For this purpose, using Euler–Bernoulli beam theory and considering tip mass and hydrodynamic functions in a liquid environment, an expression for the resonance frequencies of AFM cantilever in liquid is derived. Then, based on this expression, the effect of the surface contact stiffness on the flexural mode of a rectangular AFM cantilever in fluid is investigated and compared with the case where the AFM cantilever operates in the air. The results show that in contrast with an air environment, the tip mass has no significant impact on the resonance frequency and sensitivity of the AFM cantilever in the liquid. Hence, analysis of AFM behaviour in liquid environment by neglecting the tip mass is logical.

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