Abstract: Apparatuses, methods, software, and systems for analyzing homogenous samples containing signal-emitting entities, such as, but not limited to, radioisotopes, are disclosed. The apparatuses mainly involve sample-container apparatuses that shape samples into different thicknesses; equipment; and software for detecting, processing, preserving, and presenting the signals and computational results. The methods mainly involve characteristic signal acquisition and processing in order to compute sample self-attenuation of signals emitted from within special sample-container apparatuses. The software intelligently pairs characteristic signals from samples of varying thicknesses; carries out the sample self-attenuation, transmittance, and other computations related to signal-detection-efficiency calibration of the detection system; and identifies and quantifies signal emitters.