The official dose factors. Scientists or serial killers ? Cesium 136 (L. caesius, blue sky); Cs; at. mass 133,906718475; at. n° 55; m.p. 28,44°C; b.p. 671°C; sp. gr. 1,873; half-life 13,030 days; 7,368E4 Ci/gr; β-; 2,54 MeV; range ~10770 μ. The cesium 136 have a physical half-life of 13,030 days, a biological half-life of 11 days an a effective half-life of 5,96 days. (λ physic 6,157E-7, λ biologic 7,293E-7, λ effective 1,345E-6.) The incorporation of 1 Bq of cesium 136 conduce after 50 years to suffer (1 Bq/1,345E-6 λe) * 1-(EXP(50*31536000*-1,345E-6)) = 7,435E5 disintegrations β- and absorb 7,43E5 disintegrations * 2,54 MeV * 1,602E-13 Joule per MeV = 3,026E-7 Joule and 3,02563 Erg which dissipate, for IRCP, in a body mass of 232,74 kg... ((7,43E5 Emissions * 2,5400 MeV * 1,602E-6 Erg par MeV * 1 EBR)/(1,300E-9 Sv/Bq * 1 Bq * 100 Erg/gr * 100 Rad/Sv) = 232,74 kg) with a radius of (232740,8190 cm3/(4/3*3,14159))^(1/3) = 38,1588 cm. The particle β- which penetrate no more than 10770 μ in tissues travel in rational calculation 35,4 times far away it can physically go... (381587,95 μ/10770 μ = 35,4.) In other words the real absorbed dose is reduce 44477 times. (35,43^3 = 44477 or 2,33E5 gr/5,23 gr = 44477.) Calculating the dose produce by one β- particle with 2,54 MeV energy and 10770 μ penetration capacity in tissues: (1 Bq * 2,5400 MeV * 1,602E-6 Erg par MeV * 1 EBR)/((4/3 * 3,14159 * (10770 * 0,0001^3)) gr * 100 Erg/gr * 100 Rad/Sv) = 7,78E-11 Sv/Bq or 0,08 nanoSievert per Becquerel. The committed dose for 1 Bq in 50 years is then (1 Bq/1,35E-6 λe * (1-Exp(50*365*24*60*60 * -1,35E-6 λe))) * 7,78E-11 Sv/Bq) = 5,782E-5 Sv/Bq or 57,82 microSievert per Becquerel. Iodine 131 (Gr. iodes, violet); I; at. mass 130,9061246(12); at n°. 53; m.p. 113,7°C; b.p. 184,4°C; tc 546°C; density of gas 11,27 g/l; sp. gr. solid 4,93 (20°C); half-life 8,023 days; 1,242E5 Ci/gr; β-; 0,606 MeV; range ~1795 μ. The iodine 131 have a physical half-life of 8,023 days, a biological half-life of 120 days an a effective half-life of 7,52 days. (λ physic 1,000E-6, λ biologic 6,685E-8, λ effective 1,067E-6.) The incorporation of 1 Bq of iode 131 conduce after 50 years to suffer (1 Bq/1,067E-6 λe) * 1-(EXP(50*31536000*-1,067E-6)) = 9,374E5 disintegrations β- and absorb 9,37E5 disintegrations * 0,606 MeV * 1,602E-13 Joule per MeV = 9,101E-8 Joule and 0,91009 Erg which dissipate, for IRCP, in a body mass of 11,97 kg... ((9,37E5 Emissions * 0,6060 MeV * 1,602E-6 Erg per MeV * 1 EBR)/(7,600E-9 Sv/Bq * 1 Bq * 100 Erg/gr * 100 Rad/Sv) = 11,97 kg) with a radius of (11974,9225 cm3/(4/3*3,14159))^(1/3) = 14,1926 cm. The particle β- which penetrate no more than 1795 μ in tissues travel in rational calculation 79,1 times far away it can physically go... (141925,81 μ/1795 μ = 79,1.) In other words the real absorbed dose is reduce 494,30 mille times. (79,07^3 = 494300 or 1,20E4 gr/2,42E-2 gr = 494301.) Calculating the dose produce by one β- particle with 0,606 MeV energy and 1795 μ penetration capacity in tissues: (1 Bq * 0,6060 MeV * 1,602E-6 Erg per MeV * 1 EBR)/((4/3 * 3,14159 * (1795 * 0,0001^3)) gr * 100 Erg/gr * 100 Rad/Sv) = 4,01E-9 Sv/Bq or 4,01 nanoSievert per Becquerel. The committed dose for 1 Bq in 50 years is then (1 Bq/1,07E-6 λe * (1-Exp(50*365*24*60*60 * -1,07E-6 λe))) * 4,01E-9 Sv/Bq) = 3,757E-3 Sv/Bq or 3,76 milliSievert per Becquerel. jolissrch-inter.tokai-sc.jaea.go.jp/pdfdata/JAEA-Data-Code-2013-006.pdf
Posted on: Sun, 14 Jul 2013 08:12:47 +0000
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