2003
DOI: 10.1016/s0168-9002(03)01070-2
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An algorithm for the solid angle calculation applied in alpha-particle counting

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Cited by 48 publications
(23 citation statements)
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“…in which N 243 ∕m and A tot ∕m are the number of 243 Am atoms and the 241 Am + 243 Am activity per gram of solution, respectively. The activity at the reference date, A tot (t ref ) (Bq), is obtained by counting alpha particles under a small but well-defined solid angle, using the equation in which C tot ∕t m is the number of counts per system livetime, which is adequately corrected for count loss through pileup and system dead time by imposing a well-known dead time for each registered pulse [47,48]; Ω is the solid angle in steradian [41,[43][44][45]; f tail is a correction factor for the extrapolation of the spectrum below the imposed low-energy threshold [36]; and f d is a weighted decay correction factor (Eq. 2) for both Am isotopes, based on the activity ratio derived from alpha spectrometry.…”
Section: Specific Activity Methodsmentioning
confidence: 99%
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“…in which N 243 ∕m and A tot ∕m are the number of 243 Am atoms and the 241 Am + 243 Am activity per gram of solution, respectively. The activity at the reference date, A tot (t ref ) (Bq), is obtained by counting alpha particles under a small but well-defined solid angle, using the equation in which C tot ∕t m is the number of counts per system livetime, which is adequately corrected for count loss through pileup and system dead time by imposing a well-known dead time for each registered pulse [47,48]; Ω is the solid angle in steradian [41,[43][44][45]; f tail is a correction factor for the extrapolation of the spectrum below the imposed low-energy threshold [36]; and f d is a weighted decay correction factor (Eq. 2) for both Am isotopes, based on the activity ratio derived from alpha spectrometry.…”
Section: Specific Activity Methodsmentioning
confidence: 99%
“…By measuring a small fraction of alpha-particles emitted perpendicularly from the source plane, loss of particles by absorption in the source material at low emission angles is avoided. The detection efficiency practically equals the geometrical efficiency, which can be calculated from solid-angle formulas [43][44][45]. The accuracy of the method depends particularly on the reproducibility and accurate knowledge of the geometrical conditions.…”
Section: Activity By Alpha Countingmentioning
confidence: 99%
“…Variations in geometrical efficiency can be realised by replacing diaphragms and distance tubes. Accurate measurements of the distance between source and diaphragm as well as the diaphragm radius were performed by optical techniques [37,38], which have later been replaced by a 3D-coordinate measuring machine [39]. The solid angle subtended by the detector can be addressed with exact mathematical algorithms for circular and elliptical configurations [40,41], however the method gains significant robustness by taking into account the source activity distribution [36,42,43].…”
Section: α-Counting At a Defined Solid Anglementioning
confidence: 99%
“…Frequently, both the detector and sample are of circular shapes having cylindrical symmetries [20]. The exact efficiency can be calculated by integrating over all angles imposed by the dimensions of the detector and sample, or by a Monte Carlo simulation (Pomme´et al [21], and references therein). These methods, however, do not provide formulas which could be easily fitted to the data.…”
Section: Detector Edge Effectsmentioning
confidence: 99%