scholarly journals A study of the effective atomic number of SixPb0.7-x(Fe2O3)0.3 ternary alloys for photons

2016 ◽  
Vol 31 (4) ◽  
pp. 327-334
Author(s):  
Mehmet Buyukyildiz ◽  
Murat Kurudirek
Keyword(s):  
Atomic Number ◽  
Gamma Rays ◽  
Interpolation Method ◽  
Effective Atomic Number ◽  
Polynomial Equation ◽  
Ternary Alloys ◽  
Photon Scattering ◽  
Photon Attenuation ◽  
Scattering Ratio ◽  
First Time

The effective atomic number (Zeff) of SixPb0.7-x(Fe2O3)0.3 ternary alloys was obtained for photons. Rayleigh to Compton scattering ratio (R/C) has been determined to obtain the Zeff of SixPb0.7-x(Fe2O3)0.3 ternary alloys of varying Si and Pb (10 %-60 %) content for scattering of 59.54 keV g-rays at an angle of 130?. The theoretical R/C ratios of elements were plotted as a function of the atomic number and fitted to a polynomial equation. Experimental R/C values of alloys were then used to obtain Zeff using this fit equation. Also, Zeff values of these alloys were determined for the first time by interpolating the R/C of the material using the R/C data of adjacent elements in between the R/C of the alloy lies. The agreement between the interpolation method and the fit equation was quite satisfactory. The obtained Zeff for photon scattering were then compared to the Zeff for total photon attenuation obtained using the Auto-Zeff program. Significant variations were observed between the Zeff for scattering and the total attenuation of gamma rays.

Effective atomic number of Mn–Co–Fe2O3 ternary alloys using the Rayleigh to Compton scattering ratio

2017 ◽  
Vol 95 (4) ◽  
pp. 402-406 ◽  
Author(s):  
M. Büyükyıldız ◽  
M. Kurudirek
Keyword(s):  
Atomic Number ◽  
Effective Atomic Number ◽  
Ternary Alloys ◽  
Interpolation Procedure ◽  
Scattering Ratio ◽  
Relative Differences ◽  
The Given ◽  
Best Fit ◽  
Good Agreement ◽  
Versus Method

The objective of this work is to determine effective atomic number (Zeff) of Fe2O3(0.2)–Mnx–Coy (x + y = 0.8) ternary alloys using scattering of gamma photons and to compare available methods used to calculate Zeff. For this purpose, we have developed a fitting equation using the ratio of Rayleigh (R) to Compton (C) scattering intensity, R/C for the calculation of effective atomic number of ternary alloy (i.e., Mn–Co–Fe2O3). R and C scattering intensities for the given materials have been measured using a mono-energetic beam of 59.54 keV gamma rays and a scattering angle of 130° (x = 4.36 Å−1). The R/C ratios of elements with 20 ≤ Z ≤ 30 were used to constitute the best fit equation. R/C scattering ratios, when plotted as a function of atomic number, results in a fitted equation, which is then used for derivation of Zeff of the alloys. Also, experimental R/C values were used to determine effective atomic number of the alloys by using interpolation procedure. For comparison, Zeff of alloys were also calculated using different methods. Maximum relative differences between Zeff for experimental and theoretical results were found to be ≤8.04% (exp. 1 (fitting) versus method 6) and were found to be ≤8.99% (exp. 2 (interpolation) versus method 7) indicating a good agreement for the chosen alloys.

Sign in / Sign up

Export Citation Format

Share Document