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Pu-240 specific activity and alpha line energies

Plutonium-240

Pu-240 · Plutonium, Z = 94, A = 240

A gigabecquerel of Pu-240 is 119 mg of material, which follows from a specific activity of 8.40e+9 Bq/g (0.227 Ci/g). Plutonium-240 decays by alpha decay with a half-life of 6561 years; forty years leaves 99.58% of today's activity and ten thousand years leaves 34.77%.

The air kerma rate constant is small — 0.00000542 mGy·m²/(GBq·h), 1.5e+4× less than Cs-137 and 6.1e+4× less than Co-60, ranking 92 of 96 by Γ — near the bottom of the photon emitters, but above the cutoff, which 51 nuclides in this dataset are not. 1 GBq at 1 m reads 0.00000542 mGy/h, and 1 Ci at the same distance 0.000201 mGy/h. It takes 3.69 TBq at a metre to reach 20 µSv/h from the photons alone.

2 lines clear the 20 keV cutoff, but 2 of them carry 90% of the dose rate. The leading one is 45.2 keV at 85.2% of the total — its emission probability is 0.0432%, which is also the highest.

Shielding barely arises: 0.0644 mm of lead halves the air kerma rate and 0.226 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 0.413 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 3.5 times the half-value layer, not the 3.32 a single energy would give.

Alpha emission is led by 5.168 MeV at 72.76%, one of 3 recorded lines. None of it reaches through skin, so the alpha is an intake hazard rather than an external one — the photon figures above are the separate question.

Half-life, specific activity and dose rate

Half-life6561 years (2.070e+11 s)
Decay modealpha decay
Specific activity8.40e+9 Bq/g (0.227 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.00000542 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.00000542 mGy/h
Dose rate, 1 Ci at 1 m0.000201 mGy/h
Kerma-weighted mean photon energy53.95 keV

45.2 keV carries 85% of the dose rate

1 further line below the 20 keV cutoff, the highest at 16.68 keV and 9.30% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
45.240.043285.25
104.240.0071414.75

0.0644 mm of lead halves this spectrum

Solved numerically across all 2 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.06440.2263.50
tungsten0.05070.1763.47
iron0.4132.004.84
copper0.2731.375.02
concrete8.2629.53.57
water29.81013.37
aluminum6.4823.63.65

A single energy would give 3.32. What a spread of energies does instead.

3 alpha lines, strongest 5.168 MeV

3 recorded lines from 5.021 to 5.168 MeV, the strongest 5.168 MeV at 72.76% of 99.99% total alpha emission.

Energy (MeV)Emission probability (%)
5.168372.76
5.123827.14
5.02120.0892

Activity over millennia

Ten half-lives is 65,609 years. On any timescale a facility can be planned over the activity is constant — 99.58% is left after forty years — and the mean life 1/λ is 9,465 years.

ElapsedFraction remaining
1 half-life50.0 %
2 half-lives25.0 %
5 half-lives3.13 %
10 half-lives0.0977 %
Time to fall to 10 % of today's activity21,795 years
Time to fall to 1 %43,589 years
Time to fall to 0.1 %65,384 years

Limits — intake, not external dose

Gamma and decay calculators for Pu-240

Other Plutonium nuclides: Pu-238, Pu-239, Pu-241, Pu-242, Pu-244

Computed from the IAEA Nuclear Data Section — Livechart API (ENSDF) and the NIST X-Ray Mass Attenuation Coefficients. Derivations and citations.