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Predictive Formula for Electron Penetration Depth of Diverse Materials Over Large Energy Ranges
14th Spacecraft Charging Technology Conference (2016)
  • Anne C Starley, Utah State University
  • Greg Wilson, Utah State University
  • LIsa M Phillipps, Utah State University
  • J. R. Dennison, Utah State University
An empirical model that predicts the approximate electron penetration depth—or range—of some common materials has been extended to predict the range for a broad assortment of other materials. The electron range of a material is the maximum distance electrons can travel through a material, before losing all of their incident kinetic energy. The original model used the Continuous Slow Down Approximation (CSDA) for energy deposition in a material to develop a composite analytical formula which estimated the range from <10 eV to >10 MeV with an uncertainty of <20% using a single empirical fitting parameter, 𝑁v Effective, which is termed the effective number of valence electrons. 𝑁v Effective was empirically calculated for >200 materials which have tabulated range and inelastic mean free path data in the NIST ESTAR and IMFP databases. Correlations of 𝑁v Effectuve with key material constants (e.g., density, atomic number, atomic weight, and band gap) were established for this large set of materials. Somewhat different correlations were found for different sub-classes of materials (e.g., solids/liquids/gases, conductors/semi-conductors/insulators, elements/compounds/polymers/
composites). A predictive formula was developed to accurately determine 𝑁v Effective for arbitrary materials.
  • range,
  • stopping power,
  • electron energy
Publication Date
Spring April, 2016
Citation Information
Anne C Starley, Greg Wilson, LIsa M Phillipps and J. R. Dennison. "Predictive Formula for Electron Penetration Depth of Diverse Materials Over Large Energy Ranges" 14th Spacecraft Charging Technology Conference (2016)
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