Abstract: A method of calibrating and using a radiation detector to quantify the radioactivity in or on a wide variety of objects, over a wide range of object sizes (points to hundreds of cubic meters), over a wide range of energies (e.g., 50-7000 keV photons), where the object can be at any location in a large sphere (e.g. 100 meter diameter) surrounding the detector, and where there can be various absorbers between the radioactive object and the detector (e.g., container, walls, air collimators), in which calibrations have been implemented and expanded following the method of Atrashkevich and Kolotov but without the use of radioactive sources and in minutes, and with no generation of radioactive waste. Such calibration technique can be applied to the quantiative analysis of a spectrum of radioactivity taken from a wide variety of in-situ or laboratory samples.

Abstract: A method of determining coincidence correction for a radiation detector in the presence of a radiation source symmetrical around the axis of the radiation detector, including: calculating the coincidence correction per the equation COI g = ϵ g ∫ ∫ ∫ ϵ ( g ) ⁢ x , y , z COI ( g )