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      Enhancing higher harmonics of a tapping cantilever by excitation at a submultiple of its resonance frequency

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      Author
      Balantekin, M.
      Atalar, Abdullah
      Date
      2005-03
      Source Title
      Physical Review B
      Print ISSN
      1098-0121
      Publisher
      American Physical Society
      Volume
      71
      Issue
      12
      Pages
      125416-1 - 125416-6
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      In a tapping-mode atomic force microscope, the frequency spectrum of the oscillating cantilever contains higher harmonics at integer multiples of the excitation frequency. When the cantilever oscillates at its fundamental resonance frequency w 1, the high Q-factor damps the amplitudes of the higher harmonics to negligible levels, unless the higher flexural eigenmodes are coincident with those harmonics. One can enhance the nth harmonic by the Q factor when the cantilever is excited at a submultiple of its resonance frequency (w 1/n). Hence, the magnitude of the nth harmonic can be measured easily and it can be utilized to examine the material properties. We show theoretically that the amplitude of enhanced higher harmonic increases monotonically for a range of sample stiffness, if the interaction is dominated by elastic force.
      Keywords
      Article
      Atomic force microscopy
      Elasticity
      Frequency modulation
      Mathematical analysis
      Oscillation
      Permalink
      http://hdl.handle.net/11693/24085
      Published Version (Please cite this version)
      https://doi.org/10.1103/PhysRevB.71.125416
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      • Department of Electrical and Electronics Engineering 3624
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