The new matrix method for deriving counting rate equations describing coincidence summing of gamma and X-rays for germanium spectrometers

Abstract

The method for deriving counting rate equations in coincidence summing of gamma and X-rays that we have developed has made it much easier to obtain the results as well as the measurement process itself. This method allows us to determine the activity of a radioactive source directly without calibration of the detector and also to simultaneously to determine the efficiency of detection. We have successfully applied the method to the radionuclide with a simpler decay scheme such as 139Ce, 57Co, 133Ba. The application of this method to the 152Eu as a radionuclide with a much more complex decay scheme has also been equally successful. We are applying the method to 235U and 231Th and the preliminary results show that it is possible to apply this method to these radionuclides as well.