An analytical calculation of the peak efficiency for cylindrical sources perpendicular to the detector axis in gamma-ray spectrometry

A hybrid analytical-numerical method for efficiency calculations of spherical scintillation NaI(Tl) detectors and arbitrarily located point sources

“…There fore, the un der stand ing of the full scope of the mul ti di men sional cal i bra tion and mea sure ment process must be done with a good ac cu racy even if the detec tor de sign seems less com plex at first. In gamma ray spec trom e try, know ing the solid an gle W is the most impor tant and widely used to cal i brate the dif fer ent de tectors and de ter mine their var i ous ef fi cien cies (geo met rical, to tal and full-en ergy peak) [1][2][3][4][5][6][7][8][9][10][11][12]. Typ i cally, the ex per i men tal cal i bra tion pro cess for the gamma-ray detec tors is not easy, due to the fact that it is a hard work to ob tain the ex actly cal i brated g-sources of var i ous shapes and me dium [13][14][15].…”

“…Typ i cally, the ex per i men tal cal i bra tion pro cess for the gamma-ray detec tors is not easy, due to the fact that it is a hard work to ob tain the ex actly cal i brated g-sources of var i ous shapes and me dium [13][14][15]. There fore, there are many re ports which were done and de vel oped for gamma-spectrometries mea sure ment sys tems, where some of them used Monte Carlo, semi-em pir i cal, di rect math e mat i cal and ef fi ciency trans fer method in this cali bra tion pro cess [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The geo met ri cal solid an gle, W, cal cu la tion was pre sented by an iso tro pic ra di at ing g-ray source, for any given de tec tor shape is looked to be the most dif fi cult step [15][16][17][18][19].…”

Determination of efficiency of an aged HPGe detector for gaseous sources by self absorption correction and point source methods

“…The computed efficiency is validated with a few measurements. Mathematical expressions for the estimation of efficiency for point and disc sources [2,3] and spherical gaseous sources [4] have been reported. Semi empirical procedure for the estimation of efficiency for volume sources based on point source efficiency with suitable correction factors for attenuation within source, detector housing and detector has been proposed [5].…”

Accurate calculation of well-type detector geometrical efficiency using sources with different shapes and geometries

“…The calculation of the geometrical solid angle Ω, which presented by an isotropic radiating γ-ray source of any given shape to the detector surface is considered as a very complicated mission [1]. Knowing the geometrical solid angle is essential for the determination the activity of the radioactive samples when the calibration source of the equivalent geometry is not available [17,18]. This can be applied if the photons path lengths through the source-to-detector configuration was calculated, in addition to the self attenuation coefficient of the source materials, all absorbers between the source and the detector active medium has been taken into account in calculating the effective solid angle between the source and the detector.…”