Abstract
This study utilizes the calculated mass attenuation coefficient (MAC) in conjunction with probability theory to evaluate the suitability of various energy regions for medical applications by analyzing the energy of transmitted radiation beams through samples. The findings reveal a strong correlation between the shielding properties of carbonated hydroxyapatite (CHA) compounds, the unit cell crystalline parameters, and preparation temperature. Notably, an introduction of a probabilistic methodology for transmission energy assessment, identifying the photoelectric process as the most probable scattering process with an average energy of equal 8.7 MeV. Specifically, the outcomes show that CHA compounds with a 4 mol% molar ratio exhibit the most promising characteristics for radiation shielding. An establishment of a connection between their shielding properties and atomic molar volume, preparation temperature, and structural configurations within bioactive networks, providing valuable insights for applications compared to standard glasses like RS-520.