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The differential scattering parameters of different types of materials in Compton energy region for nuclear applications

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Abstract

Linear attenuation coefficient, mass attenuation coefficient, differential scattering cross sections, effective atomic number (Zeff), effective electron density are the parameters used to determine interaction of X-/gamma rays with any material. These parameters depend on photon energy and chemical composition of the studied material. The scattering process is a convenient method for material characterization as it contains less doses than transmission. In the present study, a theoretical estimation based on the scattering of radiation was used to calculate total molecular mass differential scattering coefficients (TMMDSC) of different types of materials for 137Cs and 60Co radioisotopes covering Compton energy region and for varying scattering angles. For this aim, differential Compton and Rayleigh scattering cross sections (based on Klein-Nishina and Thomson formula) were used for different momentum transfer values. Using the data obtained, practical fit equations were determined to calculate Klein-Nishina and Thomson cross sections for studied momentum transfer range. Using these equations TMMDSC of any material can be easily estimated. Furthermore, Zeffs of the selected materials were studied in the same momentum transfer range based on Rayleigh to Compton scattering ratio for the first time. Values of Zeff, which is one of the most important parameter to distinguish or identify multi-element materials, was compared to those of mean atomic numbers and it was found that the relative differences can reach up to 76.54%.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: All data generated or analysed during this study are included in this published article.]

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Authors and Affiliations

  1. Department of Physics, Faculty of Engineering and Natural Sciences, Bursa Technical University, 16310, Bursa, Turkey

    M. Büyükyıldız & G. Tuna

  2. Department of Electricity and Energy, Technical Sciences Vocational College, AtaturkUniversity, 25240, Erzurum, Turkey

    M. Kurudirek

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  1. M. Büyükyıldız
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  3. M. Kurudirek
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Correspondence to M. Büyükyıldız.

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Büyükyıldız, M., Tuna, G. & Kurudirek, M. The differential scattering parameters of different types of materials in Compton energy region for nuclear applications. Eur. Phys. J. Plus 137, 761 (2022). https://doi.org/10.1140/epjp/s13360-022-02977-0

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