Based on the methodology of the full peak efficiency mapping of HPGe detectors, a means to model the computation of the true coincidence effect inside a voluminous sample was developed. A summing-in and a summing-out case are used as examples to illustrate the magnitude of the true coincidence effect for a 60% HPGe. The applicability of the intrinsic P/T-calibration in the course of the integration of the coincidence effect is also discussed.
IntroductionMeasurement of voluminous samples is a common task in many radioanalytical laboratories. To reach a higher sensitivity of analysis one must use a highly efficient detector and position the sample to the detector as close as possible. Correct determination of the absolute radioactivity of the sample requires the a priori determination of a full peak efficiency curve for the specific source geometry and the appropriate correction for the true coincidence effect (TCE). In fact, the TCE is observed for a great majority of analytical lines in all close geometries. Since the TCE is a geometry effect, placing samples close to the detector results in an increasing need to make the correction. For example, a 60% HPGe detector may exhibit TCE in the range of tens of percents [1].To compute the overall TCE correction factor for voluminous samples it is necessary to integrate a volumetric TCE function over the sample volume [2]. The method developed for the computation of this correction factor is based on: (i) a full peak efficiency map generated in advance [1]; (ii) an intrinsic P/T-calibration calculated from previous measurements. It has been demonstrated that such an approach works quite well for HPGe detectors with the relative efficiency up to 60 % [1]. It is also well known that the magnitude of the effect depends on the distance of the point of emission of the gamma-quanta, the detector peak and total efficiencies and the type of gamma cascade.In our previous papers we have shown that the application of the so called intrinsic P/T-calibration allows to get an estimation of the TCE correction integral that is sufficiently accurate for voluminous samples. At the same time, experiments show that due to the scattering of radiation in the material of a voluminous sample the measured P/T ratio is lower than the intrinsic one. The contribution of the scattered radiation may reach 30 % and more in some cases. Some authors have suggested to use the experimental P/T-ratios for small subsamples during the integration of the coincidence effect and have demonstrated improvement of the results [1]. We had previously assumed that the intrinsic P/T-calibration is suitable only for small detectors, whereas the scattering must be taken into account for large detectors [2,4]. However, with