The solid angle subtended by a circular detector for a linear source

Pommé, S.

doi:10.1016/j.apradiso.2006.08.003

Cited by 8 publications

(2 citation statements)

References 5 publications

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“…Whereas the solid-angle calculation was initially performed on the basis of approximate formulae or Monte Carlo simulations (see e.g. [1,[28][29][30][31][32]), there are nowadays exact mathematical analytical solutions for commonly used geometries [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. The most common configuration involves a coaxial circular diaphragm and a quasi-circular source.…”

Section: Solid-angle Calculationmentioning

confidence: 99%

“…The equation can be evaluated using a mathematical software package or pre-defined functions in a spreadsheet. Alternatively, one can apply a solution based on numerical integration [40] or a series expansion of equation ( 11) [45,46] which converges well for d > a + R D , i.e. at relatively high source-detector distances:…”

Section: Eccentric Point Source and Centred Ring Sourcementioning

confidence: 99%

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The uncertainty of counting at a defined solid angle

Pommé

2015

Metrologia

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Specific uncertainty components of counting at a defined solid angle are discussed. It is potentially an extremely accurate technique for primary standardisation of activity of alpha emitters and low-energy x-ray emitters. Owing to its reproducibility, it is very well suited for half-life measurements. Considered sources of uncertainty are 1) source-detector geometry, 2) solid-angle calculation, 3) energy loss and self-absorption, 4) scattering, 5) detection efficiency. Other sources of uncertainty, such as source weighing, counting, dead time and decay data are common to other standardisation methods. Statistical uncertainty propagation formulas are presented for the solid angle subtended by a circular detector to radioactive sources. Computer simulations were performed to investigate aspects of particle scattering.

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Section: Solid-angle Calculationmentioning

confidence: 99%

Section: Eccentric Point Source and Centred Ring Sourcementioning

confidence: 99%

The uncertainty of counting at a defined solid angle

Pommé

2015

Metrologia

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Radionuclide metrology: confidence in radioactivity measurements

Pommé

2022

J Radioanal Nucl Chem

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Radionuclides, whether naturally occurring or artificially produced, are readily detected through their particle and photon emissions following nuclear decay. Radioanalytical techniques use the radiation as a looking glass into the composition of materials, thus providing valuable information to various scientific disciplines. Absolute quantification of the measurand often relies on accurate knowledge of nuclear decay data and detector calibrations traceable to the SI units. Behind the scenes of the radioanalytical world, there is a small community of radionuclide metrologists who provide the vital tools to convert detection rates into activity values. They perform highly accurate primary standardisations of activity to establish the SI-derived unit becquerel for the most relevant radionuclides, and demonstrate international equivalence of their standards through key comparisons. The trustworthiness of their metrological work crucially depends on painstaking scrutiny of their methods and the elaboration of comprehensive uncertainty budgets. Through meticulous methodology, rigorous data analysis, performance of reference measurements, technological innovation, education and training, and organisation of proficiency tests, they help the user community to achieve confidence in measurements for policy support, science, and trade. The author dedicates the George Hevesy Medal Award 2020 to the current and previous generations of radionuclide metrologists who have devoted their professional lives to this noble endeavour.

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On some behavioral anomalies in an analytical expression for the solid angle subtended by a circular detector from a symmetrically positioned linear source

Pagnutti

Galiano

2008

Applied Radiation and Isotopes

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The solid angle subtended by a circular detector for a linear source

Cited by 8 publications

References 5 publications

The uncertainty of counting at a defined solid angle

The uncertainty of counting at a defined solid angle

Radionuclide metrology: confidence in radioactivity measurements

On some behavioral anomalies in an analytical expression for the solid angle subtended by a circular detector from a symmetrically positioned linear source

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