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Fiber counting: a source of error corrected.

D W Cooper, H A Feldman, G R Chase

    American Industrial Hygiene Association Journal
    |May 1, 1978
    PubMed
    Summary
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    Counting fibers in industrial air samples using optical microscopy requires careful methodology. This study reveals that counting half of fibers intersecting two sides of the counting field leads to overcounting, with the error quantified.

    Area of Science:

    • Environmental Science
    • Materials Science
    • Optical Engineering

    Background:

    • Accurate fiber counting is crucial for industrial hygiene and environmental monitoring.
    • Current optical counting methods involve defining rules for fibers intersecting counting field boundaries.
    • Existing protocols may introduce inaccuracies, particularly for fibers crossing multiple boundaries.

    Purpose of the Study:

    • To evaluate the accuracy of optical fiber counting methods.
    • To quantify the error introduced by counting half of the fibers that intersect two sides of the counting field.
    • To provide a corrected method for fiber counting.

    Main Methods:

    • Analysis of optical fiber counting rules for square counting fields.
    • Mathematical derivation of the overcount fraction for fibers intersecting two sides.

    Related Experiment Videos

  • Verification of the derived formula using Monte Carlo simulations.

    • Main Results:

    • Counting half of fibers intersecting two sides of the counting field results in a fractional overcount of (L/s)²/2π for fibers with length L less than or equal to the field side length s.
    • Monte Carlo simulations confirmed the accuracy of the derived overcount formula.
    • The magnitude of the overcount error is dependent on fiber length relative to the counting field size.

    Conclusions:

    • The standard method of counting half of fibers intersecting two sides is statistically incorrect.
    • A precise formula is provided to correct for overcounting in optical fiber analysis.
    • This research improves the accuracy of fiber concentration measurements in industrial air samples.