title: Improvements in the determination of radionuclide distribution in the analysis of irradiated samples using double-differentiation method.
abstract: The spatial response of an 8 x 4 block detector made up of 5.6-mm-wide, 12.9-mm-high, 30-mm-thick individual detector crystals to a collimated line source of 511 keV annihilation photons was examined. The response of each crystal showed a spread around the average positioning values and distributions from adjacent crystals overlapped as the collimated source scanned the individual detectors. This leads to possible errors in the event assignment. The implementation of double differentiation or the second derivative method was proposed for the removal of scattered photons so as to reduce the overlap and, hence, avoid mis-positioning. This method is a mathematical solution implemented when analysing the results. A curve in a spatial spectrum could be considered to be a function f(x), where x is the position. When double differentiation of f(x) is carried out, then the normalized curve d2f(x) appears with some reduction in the wings. It was shown that a reduction of the scattering contribution in the tails without overestimating the contribution of scattered events could be achieved by implementing a double-differentiation process.
authors.affiliation: Department of Physics, School of Physical Sciences, University of Surrey, Guildford, United Kingdom.
authors.forename: N M
authors.initials: NM
authors.lastname: Spyrou
authors.forename: M E
authors.initials: ME
authors.lastname: Mesbahi
mesh_terms: D011839:Radiation, Ionizing; D011868:Radioisotopes / Q000032:analysis*; D012542:Scattering, Radiation; D014055:Tomography, Emission-Computed / Q000379:methods*
chemical_list: D011868:Radioisotopes