Refined formulation of the Taylor equation for calculating build-up factors of gamma rays in aluminium and anticipated radiation effects.

Measuring the build-up of gamma rays within materials used as shields is of great importance to accurately assess radiation doses and design effective protective barriers. Taylor's formula was studied to calculate gamma-ray build-up factors, whose application is limited to a specific group of energies and a large number of parameters. The aim of this study is to improve Taylor's formula by developing mathematical formulas to calculate the parameters at each energy to include a wider range of energy and a small, fixed number of parameters. The results demonstrated that the difference between the gamma radiation dose build-up factors calculated according to the two empirical formulas (the previous traditional formula and the current improved formula) remains very small, and the values are more or less identical. In general, it is observed that the accumulation factor decreases with increasing gamma-ray energy and increases with increasing shield thickness. Researchers also explored the intricate impacts of gamma rays on aluminum shields and the subsequent reactions within the material. A number of potential interactions have been found in one of the world's leading laboratories. One of these reactions is selected in this study. It was found that increasing the gamma-ray build-up factor in aluminum is accompanied by an increase in its cross sections. This, in turn, indicates an increased probability of secondary reactions and subsequent gamma-ray emission. • A new formula to compute the gamma ray buildup factor in aluminum was developed. • This formula uses a fixed number of variables for various energies, unlike the traditional Taylor formula. • The new formula can be applied to any material for calculating the buildup factor. • Secondary reactions that occur during gamma ray absorption need to be considered for shielding purposes. • The study examines the impact of these secondary reactions on the shielding process. [ABSTRACT FROM AUTHOR]