A mathematical function for describing the dependence of the mass attenuation coefficient versus energy for composite materials in an energy range of 100 keV to 2 MeV

Abstract

This work pro poses a math e mat i cal func tion for de scrib ing the de pend ence of mass at ten u ation co ef fi cients vs. en ergy for com pos ite ma te ri als in the range of 100 keV to 2 MeV. The obtained re sults show that the pro posed func tion is ca pa ble of ac cu rately de scrib ing the data with a co ef fi cient of de ter mi na tion of ap prox i mately 1 for all in ves ti gated ma te ri als. Us ing the pro posed math e mat i cal func tion, the mass at ten u a tion co ef fi cients were in ter po lated and com pared with the re sults from the Monte Carlo sim u la tion. The re sults show good agreement when the sim u lated to in ter po lated mass at ten u a tion co ef fi cient ra tios are in the range from 0.95 to 1.05. More over, the val ues of in ter po lated mass at ten u a tion co ef fi cients have also been com pared with the ex per i men tal data in the pre vi ous works which in di cates that most of these ra tios range from 0.9 to 1.1.

A comparative study between nano-cadmium oxide and lead oxide reinforced in high density polyethylene as gamma rays shielding composites

“…As a first ap prox i ma tion from ex am in ing tab. 1, one can find that shield ing prop er ties ap prox i mately de pend on the chem i cal com po si tion of the shield ing ma te rial and the en ergy of the in ci dent g-rays [21]. In ad di tion, µ m for var i ous pho ton in ter ac tion pro cesses at the start is high and then de creases sharply with the in crease of the pho ton en ergy up to 200 keV and at higher en er gies it de creases slightly and this trend is ob served for all the in ves ti gated com pos ites.…”