** Authors:**
MEHMET BÜYÜKYILDIZ

** Abstract: **
The aim of the present study is to determine effective atomic numbers
($Z_{eff})$ of Fe$_{x}$Cu$_{1-x} $ binary ferroalloys using scattering of
59.54 keV gamma photons at 130$^{\circ}$ ($x=4.36{{\unicode{x212B}}}^{-1})$
scattering angle. For this purpose, the Rayleigh ($R)$ and Compton ($C)$
scattering intensities for the given alloys were measured using a
monoenergetic beam of 59.54 keV gamma rays and the Rayleigh-to-Compton
scattering ratio $R/C $was determined. Then the $Z_{eff}$ values of these alloys
were determined by interpolating the $R/C$ of the material using the $R/C$ data of
adjacent elements in between the $R/C$ of the alloys. For comparison, $Z_{eff}$s
of alloys were also calculated using direct and interpolation methods in
term of scattering $R/C$ and attenuation of gamma photons. Good agreement in
relative differences between $Z_{eff}$s (experimental and theoretical) was
found (maximum of $\le $3.3% for total att.-direct method) for the chosen
alloys and the Rayleigh-to-Compton scattering ratio was shown to be a
complementary approach to determine the effective atomic number of binary
ferroalloys. In addition, a polynomial equation between the experimental
$R/C$ values and the mass attenuation coefficients of alloys was developed to
estimate the mass attenuation coefficient of different materials.

** Keywords: **
Effective atomic number, Rayleigh-to-Compton scattering
ratio, alloy

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