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-life | 87.7 years (2.768e+9 s) |
| Decay mode | alpha decay |
| Specific activity | 6.34e+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 m | 0.00000519 mGy/h |
| Dose rate, 1 Ci at 1 m | 0.000192 mGy/h |
| Kerma-weighted mean photon energy | 51.93 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 (%) |
|---|---|---|
| 43.50 | 0.0392 | 85.03 |
| 99.85 | 0.00729 | 14.97 |
0.0582 mm of lead halves this spectrum
Solved numerically across all 2 lines, narrow beam. Why not one representative energy.
| Material | HVL (mm) | TVL (mm) | TVL / HVL |
|---|---|---|---|
| lead | 0.0582 | 0.204 | 3.50 |
| tungsten | 0.0458 | 0.159 | 3.47 |
| iron | 0.372 | 1.85 | 4.96 |
| copper | 0.245 | 1.26 | 5.14 |
| concrete | 7.76 | 28.0 | 3.61 |
| water | 29.1 | 98.0 | 3.37 |
| aluminum | 6.05 | 22.3 | 3.69 |
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 (%) |
|---|---|
| 5.4990 | 70.91 |
| 5.4563 | 28.98 |
| 5.3577 | 0.105 |
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.
| Elapsed | Fraction remaining |
|---|---|
| 1 half-life | 50.0 % |
| 2 half-lives | 25.0 % |
| 5 half-lives | 3.13 % |
| 10 half-lives | 0.0977 % |
| Time to fall to 10 % of today's activity | 291 years |
| Time to fall to 1 % | 583 years |
| Time to fall to 0.1 % | 874 years |
Limits — intake, not external dose
- 0.00000519 mGy/h at a metre — bare point source, no capsule, no self-absorption.
- 0.0582 mm of lead halves this spectrum, narrow beam, scatter not added back.
- Γ excludes 1 line under 20 keV, carrying 10.2% of all emissions.
- Alpha reaches nothing through skin — Pu-238 is an intake problem, not an external one.
- What every sheet leaves out, internal dose included.
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.