lundi 16 décembre 2013

The Tritium case. Official internal dose factors are like SS which name shower a chamber gas.

The hydrogen 3; H;  at. mass 3,0160492777; at. n° 1; m.p. –259,34°C; b.p. –252,87°C; tc –240,18; density 0,08988 g/l; density (liquid) 70,8 g/l (–253°C); half-life 12,33 years; 9671,275 Ci/gr; β-; 0,00569 MeV; range β- in tissues ~15 μ. 

The tritium have a physical half-life of 12,33 years, a biological half-life of 9 days an a effective half-life of 8,68 days. (λ physic 1,783E-9, λ biologic 9,221E-7, λ effective 9,239E-7. The IRCP inhalation dose factor is 2,6E-10 Sv/Bq.)

Assessing the rationality of official internal dose factor.

An absorbed internal dose factor is calculate taking account all the “effectives” disintegrations that occurs in 50 years produce by the incorporation of a matter mass which initially emitted 1 Bq. The incorporation of 1 Bq of H3 conduce after 50 years to suffer (1 Bq/9,239E-7 λe) * 1-(EXP(50*365*24*60*60*-9,239E-7 λe)) = 1,082E6 disintegrations β- and absorb 1,08E6 disintegrations * 0,00569 MeV * 1,602E-13 Joule per MeV = 9,867E-10 Joule and 0,00987 Erg which dissipate, for IRCP, in a body mass of 3,80 kg... ((1,08E6 Emissions * 0,00569 MeV * 1,602E-6 Erg par MeV * 1 RBE)/(2,600E-10 Sv/Bq * 1 Bq * 100 Erg/gr * 100 Rad/Sv) = 3,80 kg) with a radius of (3795,0569 cm3/(4/3*3,14159))^(1/3) = 9,6763 cm.  The particle β- which penetrate no more than 15 μ in tissues travel in “rational radioprotective pataphysic” calculation 6450,9 times far away it can physically go... (96763,13 μ/15 μ = 6450,9.) In other words the real absorbed dose is reduce 268,45 billions times. (6450,88^3 = 2,68E11 or 3,80E3 gr/1,41E-8 gr = 2,68E11.)

Calculating the real dose produce by one β- particle with 0,00569 MeV energy and 15 μ penetration capacity in tissues: (1 Bq * 0,00569 MeV * 1,602E-6 Erg per MeV * 1 EBR)/((4/3 * 3,14159 * (15 * 0,0001^3)) gr * 100 Erg/gr * 100 Rad/Sv) = 6,45E-5 Sv/Bq or 64,49 microSievert per Becquerel.

The committed dose for 1 Bq in 50 years is then (1 Bq/9,239E-7 λe * (1-Exp(50*365*24*60*60 * -9,239E-7 λe))) * 6,45E-5 Sv/Bq) = 69,7959 Sv/Bq or 69,80 Sievert per Becquerel.

Official internal dose factors are like SS which name shower a chamber gas.


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