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Calculation of the detection limits by explicit expressions.

D Glavič-Cindro1, M Korun1, B Vodenik1

  • 1"Jožef Stefan" Institute, Jamova cesta 39, 1000 Ljubljana, Slovenia.

Applied Radiation and Isotopes : Including Data, Instrumentation and Methods for Use in Agriculture, Industry and Medicine
|February 27, 2017
PubMed
Summary

This study introduces a new method to calculate the detection limit for ionizing radiation measurements. It simplifies calculations when the limit and its uncertainty are known functions, avoiding complex iteration procedures.

Keywords:
Decision thresholdDetection limitNull measurement uncertainty

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Area of Science:

  • Nuclear physics and instrumentation
  • Metrology and measurement science

Background:

  • Determining the detection limit is crucial for accurate ionizing radiation measurements.
  • Traditional methods often involve iterative calculations that can be complex and time-consuming.
  • The need for efficient and explicit calculation methods is recognized in radiation metrology.

Purpose of the Study:

  • To present a novel method for calculating the approximate detection limit in ionizing radiation measurements.
  • To provide an explicit calculation approach that bypasses iterative procedures.
  • To offer an advantageous alternative when iterative calculations are challenging.

Main Methods:

  • The proposed method utilizes explicit functions for the indication corresponding to the detection limit and its uncertainty.
  • It allows for the direct, non-iterative calculation of the detection limit.
  • Mathematical formulation based on functional relationships.

Main Results:

  • An explicit formula for the approximate detection limit is derived.
  • The method successfully avoids the need for iterative computations.
  • Demonstrates applicability when the detection limit and its uncertainty are defined as explicit functions.

Conclusions:

  • The presented method offers a simplified and direct approach to determine the detection limit for ionizing radiation.
  • It is particularly beneficial in scenarios where iterative calculations are problematic or inefficient.
  • This facilitates more accessible and potentially faster determination of measurement sensitivity.