In high-energy physics and medical fields, researchers are generally searching for ideal scintillation detectors with the best geometry response. LaBr3(Ce) is considered an excellent inorganic material, that can be used for this purpose. In this study, the geometrical solid angle, geometrical efficiency, effective solid angle, total efficiency, and average path length were calculated as functions of different parameters for both tapered and truncated conical LaBr3(Ce) scintillation detectors to provide all of the characteristic factors that are required to calibrate these detector geometries. The calculations were conducted to optimize the efficiency by using isotropic radioactive point sources in axial and non-axial forms and the study was extended to isotropic radioactive disk and cylinder shape sources. The analytical–numerical technique presented in this study is a valuable approach for analyzing and constructing arrays of multiple γ-ray scintillation detectors, particularly for use in complex spectroscopy systems. The results provide a clear comparison between tapered and truncated conical LaBr3(Ce) detectors. For example, at a source-to-detector distance of 5 cm, the geometric solid angle of the truncated conical crystal was determined as greater than that of the tapered crystal, but this relationship reversed as the distance increased due to the solid angle effect.
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