Length Bias in the Measurements of Carbon Nanotubes

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  • Date/Time:
    • Thursday October 8, 2009 - Friday October 9, 2009
      11:00 am - 11:59 am
  • Location: Executive classroom
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Nagi Gebraeel
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Summary Sentence: Length Bias in the Measurements of Carbon Nanotubes

Full Summary: Length Bias in the Measurements of Carbon Nanotubes

TITLE: Length Bias in the Measurements of Carbon Nanotubes

SPEAKER: Paul Kvam


To measure carbon nanotube lengths, atomic force microscopy and special software are used to identify and measure nanotubes on a square grid. Current practice does not include nanotubes that cross the grid, and as a result, the sample is length biased. The selection bias model can be demonstrated through Buffon's Needle Problem, which was extended to general curves that more realistically represent the shape of nanotubes observed on a grid. In this paper, the nonparametric maximum likelihood estimator is constructed for the length distribution of the nanotubes, and the consequences of the length bias are examined. Probability plots reveal that the corrected length distribution estimate provides a better fit to the Weibull distribution than the original selection-biased observations, thus reinforcing a previous claim about the underlying distribution of synthesized nanotube lengths

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School of Industrial and Systems Engineering (ISYE)

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  • Created By: Anita Race
  • Workflow Status: Published
  • Created On: Oct 12, 2009 - 4:12pm
  • Last Updated: Oct 7, 2016 - 9:46pm