scholarly journals Experimental and fractional analysis of half-value thicknesses of polyethylene absorber

2020 ◽  
Vol 66 (2 Mar-Apr) ◽  
pp. 232 ◽  
Author(s):  
A. E. Çalık ◽  
H. Sirin ◽  
M. Şen
Keyword(s):  
Fractional Derivative ◽  
Caputo Fractional Derivative ◽  
Experimental Results ◽  
Attenuation Coefficients ◽  
Fractional Analysis ◽  
Mass Attenuation Coefficients ◽  
Beta Sources ◽  
New Equation ◽  
Theoretical Results ◽  
Mass Attenuation

In this study, half-value thicknesses and mass attenuation coefficients of polyethylene absorber have been measured experimentally using the beta sources 99Tc, 147Pm, 137Cs, 204Tl, 210Pb and 36Cl. There is an inconsistency between experimental and calculated values of half value thicknesses obtained with the help of standard attenuation equation. In order to overcome this discrepancy, the fractional attenuation equation which was redefined and resolved using Caputo fractional derivative has been used. The theoretical results obtained according to this new equation are in agreement with experimental results around 0.3 value of the order of fractional derivative.

Determination of effective atomic numbers and electron densities for some synthesized triazoles from the measured total mass attenuation coefficients at different energies

2019 ◽  
Vol 97 (1) ◽  
pp. 86-92 ◽  
Author(s):  
F. Akman ◽  
I.H. Geçibesler ◽  
I. Demirkol ◽  
A. Çetin
Keyword(s):  
Total Mass ◽  
Effective Atomic Number ◽  
Electron Densities ◽  
Atom Number ◽  
Attenuation Coefficients ◽  
Effective Electron ◽  
Mass Attenuation Coefficients ◽  
Effective Atomic Numbers ◽  
Theoretical Results ◽  
Mass Attenuation

The effective atomic numbers and electron densities of some synthesized triazoles were determined using the experimental values of total mass attenuation coefficients at 13.93, 17.77, 26.34, and 59.54 keV photon energies. The measurements were performed in a transmission geometry that consists of a Si(Li) detector, an 241Am point source and a target. The measured results were compared with two different theoretical results. The measured results are generally consistent with the theoretical results. It is observed that the measured parameters depend on the photon energy, weighted contributions of the individual atoms within the triazoles, atom number in the triazoles, and chemical composition of triazoles. Also, the effective electron density increases linearly with increasing effective atomic number.

scholarly journals Determination of effective atomic numbers and electron densities from mass attenuation coefficients for some selected complexes containing lanthanides

2017 ◽  
Vol 95 (10) ◽  
pp. 1005-1011 ◽  
Author(s):  
Ferdi Akman ◽  
Mustafa Recep Kaçal ◽  
Feride Akman ◽  
Mustafa Serkan Soylu
Keyword(s):  
Chemical Parameters ◽  
Electron Densities ◽  
Attenuation Coefficients ◽  
Transmission Geometry ◽  
Mass Attenuation Coefficients ◽  
Effective Atomic Numbers ◽  
Theoretical Results ◽  
Good Agreement ◽  
Mass Attenuation

The effective atomic numbers and electron densities for the pure elemental forms of gadolinium (Gd), dysprosium (Dy), erbium (Er), and ytterbium (Yb), and some of their selected complexes, were obtained from the measured total mass attenuation coefficients at 13.92, 17.75, 20.78, 26.34, and 59.54 keV photon energies using a high-resolution Si(Li) detector by adopting transmission geometry. The measured results were compared with two different theoretical results. Within experimental deviations, our data are in good agreement with the theoretical values. The obtained parameters were also interpreted with some selected chemical parameters.

X-Ray Attenuation Coefficients for Copper in the Energy Range 5 to 50 ke V

1982 ◽  
Vol 37 (5) ◽  
pp. 451-459 ◽  
Author(s):  
L. Gerward
Keyword(s):  
Energy Range ◽  
High Precision ◽  
Theoretical Calculations ◽  
Experimental Results ◽  
Energy Dispersive ◽  
Attenuation Coefficients ◽  
X Ray ◽  
Mass Attenuation Coefficients ◽  
Mass Attenuation

X-ray mass attenuation coefficients for polycrystalline samples of copper have been measured with a high-precision energy-dispersive method. Estimates of the scattering contributions to the attenuation coefficients are made. The photoelectric coefficients deduced from the experimental results are compared with theoretical calculations using screened hydrogen-like eigenfunctions as well as more rigorous relativistic wavefunctions.

A comparison study for mass attenuation coefficients of some amino acids using MCNP code

Kerntechnik ◽  
2017 ◽  
Vol 82 (3) ◽  
pp. 339-343 ◽  
Author(s):  
S. M. Vahabi ◽  
M. Bahreinipour ◽  
M. Shamsaie-Zafarghandi
Keyword(s):  
Amino Acids ◽  
Comparison Study ◽  
Mcnp Code ◽  
Attenuation Coefficients ◽  
Mass Attenuation Coefficients ◽  
Mass Attenuation

scholarly journals A Convergent Collocation Approach for Generalized Fractional Integro-Differential Equations Using Jacobi Poly-Fractonomials

Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 979
Author(s):  
Sandeep Kumar ◽  
Rajesh K. Pandey ◽  
H. M. Srivastava ◽  
G. N. Singh
Keyword(s):  
Differential Equation ◽  
Fractional Derivative ◽  
Collocation Method ◽  
Caputo Fractional Derivative ◽  
Fractional Derivatives ◽  
Special Cases ◽  
Collocation Approach ◽  
Linear And Nonlinear ◽  
Simulation Results ◽  
Theoretical Results

In this paper, we present a convergent collocation method with which to find the numerical solution of a generalized fractional integro-differential equation (GFIDE). The presented approach is based on the collocation method using Jacobi poly-fractonomials. The GFIDE is defined in terms of the B-operator introduced recently, and it reduces to Caputo fractional derivative and other fractional derivatives in special cases. The convergence and error analysis of the proposed method are also established. Linear and nonlinear cases of the considered GFIDEs are numerically solved and simulation results are presented to validate the theoretical results.

Advances in the measurements of the mass attenuation coefficients

2018 ◽  
Vol 48 (5) ◽  
pp. 330-335 ◽  
Author(s):  
Yves Ménesguen ◽  
Christophe Dulieu ◽  
Marie-Christine Lépy
Keyword(s):  
Attenuation Coefficients ◽  
Mass Attenuation Coefficients ◽  
Mass Attenuation
Sign in / Sign up

Export Citation Format

Share Document