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

M.S. Al-Buriahi
M.S. Al-Buriahi
, 
Z.A. Alrowaili
Z.A. Alrowaili
, 
Safa Ezzine
Safa Ezzine
, 
I.O. Olarinoye
I.O. Olarinoye
, 
Sultan Alomairy
Sultan Alomairy
, 
C. Mutuwong
C. Mutuwong
 oraz 
B. T. Tonguç
B. T. Tonguç
   | 18 paź 2021
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Data publikacji: 18 paź 2021
Zakres stron: 219 - 226
Otrzymano: 19 kwi 2021
Przyjęty: 20 sie 2021
DOI: https://doi.org/10.2478/msp-2021-0019
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© 2021 M.S. Al-Buriahi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fig. 1

The principal geometry for the present simulations by using Geant4.
The principal geometry for the present simulations by using Geant4.

Fig. 2

Coupling strength as a function of photon energy.
Coupling strength as a function of photon energy.

Fig. 3

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

Fig. 4

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.
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.

Fig. 5

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

Fig. 6

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.
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) eσtr (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
eISSN:
2083-134X
Język:
Angielski
Częstotliwość wydawania:
4 razy w roku
Dziedziny czasopisma:
Materials Sciences, other, Nanomaterials, Functional and Smart Materials, Materials Characterization and Properties
Kanał RSS czasopisma