Klein–Nishina formula and Monte Carlo method for evaluating the gamma attenuation properties of Zn, Ba, Te and Bi elements

M.S. Al-Buriahi; Z.A. Alrowaili; Safa Ezzine; I.O. Olarinoye; Sultan Alomairy; C. Mutuwong; B. T. Tonguç

doi:10.2478/msp-2021-0019

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Klein–Nishina formula and Monte Carlo method for evaluating the gamma attenuation properties of Zn, Ba, Te and Bi elements

Materials Science-Poland

Volume 39 (2021): Issue 2 (June 2021)

By: M.S. Al-Buriahi, Z.A. Alrowaili, Safa Ezzine, I.O. Olarinoye, Sultan Alomairy, C. Mutuwong and B. T. Tonguç

Open Access

|Oct 2021

Figures & Tables

The principal geometry for the present simulations by using Geant4.

Coupling strength as a function of photon energy.

K–N mass attenuation coefficients (σ/ρ) versus photon beam energy.

Variation in the Compton mass attenuation coefficients (σ/ρ) as a function of the atomic number Z and the atomic weight A, i.e., the Z/A ratio.

K–N electron-transfer cross section (eσtr) as a function of the energy of interacting γ-rays. K–N, Klein–Nishina.

Change in the K–N mass energy-transfer coefficients as a function of the Z/A ratio of the elements. K–N, Klein–Nishina; Z/A ratio, the ratio of the atomic number Z to the atomic weight A.

Photon energy versus coupling constant (α), K–N electronic cross section (eσ), and electronic mass energy-transfer (eσtr) cross sections_

Source	Energy (MeV)	Coupling Strength (α)	_eσ (cm²/electron)	_eσ^tr (cm²/electron)
Cs-137	0.662	1.2955	2.56E–25	9.78E–26
Mn-54	0.835	1.6341	2.30E–25	9.55E–26
Co-60	1.170	2.2896	1.95E–25	9.02E–26
Co-60	1.330	2.6027	1.83E–25	8.76E–26
La-140	1.600	3.1311	1.66E–25	8.34E–26

Studied elements along with their symbols, atomic numbers, atomic mass, and Z/A ratios_

Element	Symbol	Z	A	Z/A
Zinc	Zn	30	65.38	0.459
Tellurium	Te	52	127.60	0.408
Barium	Ba	56	137.33	0.408
Bismuth	Bi	83	208.98	0.397

Compton mass attenuation coefficients for Zn and Ba obtained by using Geant4 simulations and K–N scattering formula_

Energy (MeV)	Zn			Ba

	K–N	Geant4	Dev.%	K–N	Geant4	Dev.%
6.62E–01	0.071	0.071	0.851	0.062	0.063	1.234
8.35E–01	0.063	0.064	0.944	0.056	0.057	1.231
1.17E+00	0.054	0.054	0.824	0.048	0.048	1.138
1.33E+00	0.051	0.051	0.697	0.045	0.045	0.946
1.60E+00	0.046	0.046	0.504	0.041	0.041	0.782

Compton mass attenuation coefficients for Te and Bi elements obtained by using Geant4 simulations and K–N scattering formula_

Energy (MeV)	Te			Bi

	K–N	Geant4	Dev.%	K–N	Geant4	Dev.%
6.62E–01	0.062	0.063	1.079	0.060	0.061	1.706
8.35E–01	0.056	0.057	1.204	0.055	0.055	1.714
1.17E+00	0.048	0.048	0.997	0.046	0.047	1.501
1.33E+00	0.045	0.045	0.951	0.044	0.044	1.339
1.60E+00	0.041	0.041	0.721	0.040	0.040	1.070

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DOI: https://doi.org/10.2478/msp-2021-0019 | Journal eISSN: 2083-134X | Journal ISSN: 2083-1331

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Language: English

Page range: 219 - 226

Submitted on: Apr 19, 2021

Accepted on: Aug 20, 2021

Published on: Oct 18, 2021

Published by: Wroclaw University of Science and Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

gamma ray,

shielding,

Monte Carlo,

Klein–Nishina formula

Related subjects:

Materials sciences,

Materials sciences, other,

Nanomaterials,

Functional and smart materials,

Materials characterization and properties

© 2021 M.S. Al-Buriahi, Z.A. Alrowaili, Safa Ezzine, I.O. Olarinoye, Sultan Alomairy, C. Mutuwong, B. T. Tonguç, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 39 (2021): Issue 2 (June 2021)

Klein–Nishina formula and Monte Carlo method for evaluating the gamma attenuation properties of Zn, Ba, Te and Bi elements

Figures & Tables

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Photon energy versus coupling constant (α), K–N electronic cross section (eσ), and electronic mass energy-transfer (eσtr) cross sections_

Studied elements along with their symbols, atomic numbers, atomic mass, and Z/A ratios_

Compton mass attenuation coefficients for Zn and Ba obtained by using Geant4 simulations and K–N scattering formula_

Compton mass attenuation coefficients for Te and Bi elements obtained by using Geant4 simulations and K–N scattering formula_

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