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Pu-238 specific activity and alpha line energies

Plutonium-238

Pu-238 · Plutonium, Z = 94, A = 238

A gigabecquerel of Pu-238 is 1.58 mg of material, which follows from a specific activity of 6.34e+11 Bq/g (17.1 Ci/g). Plutonium-238 decays by alpha decay with a half-life of 87.7 years; a year leaves 99.21% of today's activity and forty years leaves 72.89%.

The air kerma rate constant is small — 0.00000519 mGy·m²/(GBq·h), 1.5e+4× less than Cs-137 and 6.1e+4× less than Co-60, ranking 93 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 0.00000519 mGy/h, and 1 Ci at the same distance 0.000192 mGy/h. It takes 3.85 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 43.5 keV at 85.0% of the total — its emission probability is 0.0392%, which is also the highest.

Shielding barely arises: 0.0582 mm of lead halves the air kerma rate and 0.204 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 0.372 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 5.499 MeV at 70.91%, 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-life87.7 years (2.768e+9 s)
Decay modealpha decay
Specific activity6.34e+11 Bq/g (17.1 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.00000519 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.00000519 mGy/h
Dose rate, 1 Ci at 1 m0.000192 mGy/h
Kerma-weighted mean photon energy51.93 keV

43.5 keV carries 85% of the dose rate

1 further line below the 20 keV cutoff, the highest at 16.68 keV and 10.2% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
43.500.039285.03
99.850.0072914.97

0.0582 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
lead0.05820.2043.50
tungsten0.04580.1593.47
iron0.3721.854.96
copper0.2451.265.14
concrete7.7628.03.61
water29.198.03.37
aluminum6.0522.33.69

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

3 alpha lines, strongest 5.499 MeV

3 recorded lines from 5.358 to 5.499 MeV, the strongest 5.499 MeV at 70.91% of 100.0% total alpha emission.

Energy (MeV)Emission probability (%)
5.499070.91
5.456328.98
5.35770.105

Activity over decades and centuries

Ten half-lives is 877 years, which puts decay storage out of reach: 72.89% survives forty years. The mean life 1/λ, the quantity that enters an integrated dose, is 127 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 activity291 years
Time to fall to 1 %583 years
Time to fall to 0.1 %874 years

Limits — intake, not external dose

Gamma and decay calculators for Pu-238

Other Plutonium nuclides: Pu-239, Pu-240, 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.