Hughesair (Inflection Point)

Retired physician and air taxi operator, science writer and part time assistant professor, these editorials cover a wide range of topics. Mostly non political, mostly true, I write more from a lifetime of experience and from research, more science than convention. Subjects cover medicine, Alaska aviation, economics, technology and an occasional book review. Globalization or Democracy documents the historical roots of Oligarchy, the road to colonialism and tyranny

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Monday, November 27, 2006

Polonium 210

Polonium 210, an Alpha emitter, the physical chemistry of death:
One gram of Po-210 is 1/210 = 4.762 * 10-3 mole. Multiplying this by Avogadro's number, the number of atoms in a mole, we obtain
4.762 * 10-3 * 6.022 * 1023 = 2.87 * 1021 atoms of Po-210. If we multiply this many atoms by the alpha energy of 5.407 MeV, we obtain a total energy release of
2.87 * 1021 * 5.407 MeV = 1.55 * 1028 eV.
One joule equals 6.24 * 1018 eV, so this is equal to 2.48 * 109 joules, or 2.48 gigajoules.
The average adult human male has a mass of 70 kg. If we assume the Po-210 is uniformly distributed throughout the body, then the whole-body radiation dosage from 1 gram of Po-210 in one week would be
0.0345 * 2.48 gigajoules / 70 kg * 2.4 sievert/gray = 2.9 * 106 sievert. This is a truly gargantuan dose, but 1 gram is a huge amount of Po-210. If we only need 10 sieverts/week to kill our victim, then we only need
10 sievert / (2.9 * 106 sievert/gram) = 3.4 * 10-6 g.
That's 3.4 micrograms.

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