General expression of the calibration curve for the CR-39 radon track detectors |
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| Institution: | 1. Dipartimento Energia, Politecnico di Torino, Corso Duca degli Abruzzi, 24, Torino, Italy;2. U-Series Srl, Via Ferrarese, 131, Bologna, Italy;1. Industrial Engineering Department, University of Bologna, Via dei Colli 16, Bologna 40136, Italy;2. Physics and Astronomy Department, University of Bologna, Via B. Pichat 6/2, Bologna 40126, Italy;3. Biomedical Sciences Department, University of Bologna, Via Irnerio 48, Bologna 40126, Italy;4. INFN, Italy;1. Jožef Stefan International Postgraduate School, Jamova 39, 1000, Ljubljana, Slovenia;2. Jožef Stefan Institute, Jamova 39, 1000, Ljubljana, Slovenia;3. University “Hasan Prishtina”, George Bush NA, 10 000, Prishtina, Faculty of Medicine, Prishtina, Kosovo;1. Amirkabir University of Technology, Tehran, Iran;2. National Institute of Education, Nanyang Technological University, Singapore;1. Ural Federal University, Ekaterinburg, Russia;2. Institute of Industrial Ecology UB RAS, Ekaterinburg, Russia;1. Departamento de Ciencias Ambientales, División de Ciencias Biológicas y de la Salud, Universidad Autónoma Metropolitana-Lerma, Av. de las Garzas No. 10, Col. El Panteón, Lerma de Villada, Municipio de Lerma, Estado de México C. P. 52005, Mexico;2. Departamento de Fisica, Universidad Autónoma Metropolitana-Iztapalapa, PO Box 55-534, 09340 México, D.F., Mexico;3. Nuclear Physics Institute, ASCR, 25068 Řež, Czech Republic;4. Department of Life Sciences and Ilse Katz Institute for Nanoscale Science and Technology, Ben-Gurion University of the Negev, PO Box 653, Beer-Sheva 84105, Israel;5. Ben-Gurion University of the Negev, PO Box 653, Beer-Sheva 84105, Israel |
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| Abstract: | The CR-39 detectors are widely used as passive radon dosimeters, as well as in physics laboratories or for industrial applications. For what concerns radon monitoring, the calibration curve which is usually adopted corresponds to a linear relation between the actual etched track density and the track density counted by an automatic acquisition system. This linear calibration provides very accurate radon exposure assessments in a restricted range of etched track density, however it neglects the effect of the tracks overlapping that becomes as relevant as the track density increases. In the present work the mathematical expression of the area covered by a set of uniformly distributed tracks is deduced. This result allows then to infer the probability that the system acquires the right track density, providing a general calibration curve for a solid state radon track detector. The process of track production and reading routine is also simulated adopting a Monte Carlo approach, showing that the obtained results are in agreement with the function proposed as calibration curve. Moreover, a linear dependence between the track average area and the rate parameter of the calibration curve has been observed. Finally a semi-empirical correlation based on the previous results is proposed. |
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| Keywords: | Radon monitoring CR-39 Calibration Monte Carlo simulation Tracks overlapping |
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