G. Haase et al., APPLICATION OF A NEW MONTE-CARLO METHOD FOR DETERMINATION OF SUMMATION AND SELF-ATTENUATION CORRECTIONS IN GAMMA-SPECTROMETRY, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 336(1-2), 1993, pp. 206-214
A new Monte Carlo method [1] has been previously described for gamma s
pectrometric measurement systems that calculates the total efficiency
for any axially symmetric arrangement of source and detector. This met
hod is now discussed in more detail for the complex case Marinelli bea
ker and detector. The logic of the technique is explained with the aid
of flow charts. For two different Marinelli beakers and nuclides both
the theoretical and experimental summation correction factors have be
en determined and found to agree very well. The degree of self-attenua
tion effects is determined principally by the energy of the photon, de
nsity of the sample material and the average path length of the photon
s in the volume source. Chemical properties have only a negligible inf
luence. The analysis described here includes experimental and theoreti
cal determinations of self-attenuation correction factors for defined
arrangements. In the experiments a gamma standard solution containing
several radionuclides covering the energy range from 88 to 1836 keV wa
s used. The densities of the sources ranged from 0.5 to 1.6 g/cm3, cor
responding to the expected densities of environmental samples. The ave
rage path length of the photons in different volume sources was calcul
ated by the Monte Carlo code and from this value the correction factor
for the self-attenuation was derived.