Volume 58, Number 2, April - June 2023
|Page(s)||137 - 146|
|Published online||19 June 2023|
Mathematical formula to calculate the attenuation coefficients for any complex sample: experimental study
Physics Department, Faculty of Science, Alexandria University, 21511 Alexandria, Egypt
* Corresponding author: firstname.lastname@example.org
Accepted: 27 February 2023
This work introduces a mathematical formula to calculate the attenuation coefficient of a cylindrical sample placed on the top of a well-shaped gamma-ray detector. The formula depends on calculations of the average path length of the photon through a sample and the effective solid angle. The obtained results using the introduced formula are compared with the NIST XCOM database and compared with the experimental work using two different-sized detectors and sources located in two different positions. A remarkable agreement between both was observed, which proves the validity of this formula.
Key words: linear attenuation coefficients / gamma-ray detectors / well scintillation detectors / effective solid angle calculation
© SFRP, 2023
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