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AM/FM measurements using multiple frequency of atomic force microscopy

  • US 9,453,857 B2
  • Filed: 04/23/2015
  • Issued: 09/27/2016
  • Est. Priority Date: 04/23/2014
  • Status: Active Grant
First Claim
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1. A method of calibrating an atomic force microscope, which is equipped with a cantilever with a tip, a photodetector and a coarse positioning system and a fine positioning system for controlling a position of the cantilever and a sample, comprising the following steps:

  • turning a drive mechanism off;

    positioning a detection laser on a side of the cantilever opposite the tip and in a center of the photodetector;

    calibrating a stiffness of the cantilever from a measured thermal spectrum taken far from the surface of the sample and recording information indicative of the stiffness as representing a natural frequency of the cantilever;

    approaching the tip of the cantilever to close proximity with the sample, as determined by optical inspection of the tip and the sample using the coarse-positioning system;

    after said approaching, turning the drive mechanism on;

    setting a drive frequency equal to the natural frequency of the cantilever as determined from said thermal spectrum;

    setting a drive amplitude to a desired free oscillation amplitude;

    approaching the tip of the cantilever to the surface of the sample until contact is established by setting a feedback set point to a desired interaction amplitude that is slightly less than a free oscillation amplitude;

    fully separating the sample from the tip of the cantilever as determined by optical inspection using the fine-positioning system;

    acquiring a cantilever tune by either setting the drive frequency to the natural frequency of the cantilever as determined from said thermal spectrum or from setting the drive frequency to a local amplitude maximum of the cantilever near a resonant frequency of the cantilever;

    turning off the drive mechanism and acquiring an additional thermal spectrum of the cantilever that is closer to imaging conditions;

    using a simple harmonic oscillator model and the data from the additional thermal spectrum to define a new natural frequency of the cantilever and determine a phase-to-drive-frequency relationship of the cantilever;

    turning on the drive mechanism and choosing a drive frequency equal either to the new natural frequency of the cantilever or to a local amplitude maximum of the cantilever near the cantilever resonant frequency;

    choosing a drive amplitude which achieves the desired cantilever free oscillation amplitude; and

    setting phase from a result of the aforesaid simple harmonic oscillator model.

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