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Robust calculation of effective atomic numbers: the Auto-Z(eff) software.

M L Taylor1, R L Smith, F Dossing

  • 1School of Applied Sciences and Health Innovations Research Institute, RMIT University, Melbourne, Australia. michael.taylor@rmit.edu.au

Medical Physics
|April 10, 2012
PubMed
Summary

This study introduces Auto-Z(eff), user-friendly software for accurate, energy-dependent effective atomic number calculations in medical physics. It replaces inaccurate power-law methods, offering robust radiological property estimations.

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Area of Science:

  • Medical Physics
  • Computational Physics

Background:

  • Accurate effective atomic number (Zeff) calculation is crucial for medical physics applications.
  • Traditional methods often rely on over-simplistic power-law approximations due to computational complexity.
  • Energy-dependent behavior is essential for precise Zeff evaluation.

Purpose of the Study:

  • To develop user-friendly software (Auto-Zeff) for robust, energy-dependent computation of effective atomic numbers.
  • To provide a more accurate alternative to simplistic power-law methods in medical physics.
  • To facilitate the estimation of radiological properties for various media.

Main Methods:

  • Developed a Graphical User Interface (GUI) using Visual Basic for straightforward Zeff calculations.
  • Constructed photon interaction cross-section matrices for energies from 10 keV to 10 GeV and elements Z=1-100.
  • Employed linear additivity for composite media and interpolation for Zeff determination, achieving 1-2% uncertainty.

Main Results:

  • Auto-Zeff enables rapid (∼0.6 s) Zeff calculations for diverse media, aiding radiological property assessment and comparisons (e.g., water equivalence).
  • Validation against published theoretical and experimental data confirmed the software's accuracy.
  • Demonstrated the inaccuracy of commonly used power-law approaches, even within their intended applicability ranges.

Conclusions:

  • Auto-Zeff provides accurate, energy-dependent effective atomic number computations, surpassing traditional power-law predictions.
  • The software facilitates easy calculation of average and spectral-weighted means.
  • Auto-Zeff is freely available, encouraging its adoption in medical physics research and practice.