Plutonium-239
Pu-239 · Plutonium, Z = 94, A = 239
A gigabecquerel of Pu-239 is 436 mg of material, which follows from a specific activity of 2.30e+9 Bq/g (0.0620 Ci/g). Plutonium-239 decays by alpha decay with a half-life of 24110 years; forty years leaves 99.89% of today's activity and ten thousand years leaves 75.01%.
The air kerma rate constant is small — 0.00000823 mGy·m²/(GBq·h), 9.6e+3× less than Cs-137 and 3.8e+4× less than Co-60, ranking 90 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 0.00000823 mGy/h, and 1 Ci at the same distance 0.000305 mGy/h. It takes 2.43 TBq at a metre to reach 20 µSv/h from the photons alone.
11 lines clear the 20 keV cutoff, but 8 of them carry 90% of the dose rate. The leading one is 51.6 keV at 30.5% of the total — its emission probability is 0.02722%, which is also the highest.
Shielding barely arises: 0.120 mm of lead halves the air kerma rate and 2.45 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 1.07 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 20.4 times the half-value layer, not the 3.32 a single energy would give.
Alpha emission is led by 5.157 MeV at 70.77%, one of 9 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 | 24110 years (7.608e+11 s) |
| Decay mode | alpha decay |
| Specific activity | 2.30e+9 Bq/g (0.0620 Ci/g) |
| Air kerma rate constant Γ (δ = 20 keV) | 0.00000823 mGy·m²/(GBq·h) |
| Dose rate, 1 GBq at 1 m | 0.00000823 mGy/h |
| Dose rate, 1 Ci at 1 m | 0.000305 mGy/h |
| Kerma-weighted mean photon energy | 135.6 keV |
11 lines above the cutoff, and what each contributes
3 further lines below the 20 keV cutoff, the highest at 16.68 keV and 4.33% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.
| Energy (keV) | Emission probability (%) | Share of dose rate (%) |
|---|---|---|
| 51.62 | 0.02722 | 30.47 |
| 38.66 | 0.01044 | 16.92 |
| 129.30 | 0.00631 | 11.06 |
| 413.71 | 0.00147 | 10.01 |
| 375.05 | 0.00155 | 9.50 |
| 98.44 | 0.0057 | 7.29 |
| 94.66 | 0.0036 | 4.45 |
| 112.64 | 0.0028 | 4.17 |
| 111.24 | 0.00207 | 3.04 |
| 98.78 | 0.00146 | 1.87 |
| 56.83 | 0.00115 | 1.21 |
0.120 mm of lead halves this spectrum
Solved numerically across all 11 lines, narrow beam. Why not one representative energy.
| Material | HVL (mm) | TVL (mm) | TVL / HVL |
|---|---|---|---|
| lead | 0.120 | 2.45 | 20.36 |
| tungsten | 0.0928 | 1.74 | 18.79 |
| iron | 1.07 | 11.7 | 11.00 |
| copper | 0.740 | 9.62 | 13.01 |
| concrete | 12.7 | 55.3 | 4.36 |
| water | 37.4 | 135 | 3.61 |
| aluminum | 10.5 | 48.3 | 4.62 |
A single energy would give 3.32. What a spread of energies does instead.
9 alpha lines, strongest 5.157 MeV
9 recorded lines from 4.987 to 5.157 MeV, the strongest 5.157 MeV at 70.77% of 100.0% total alpha emission.
| Energy (MeV) | Emission probability (%) |
|---|---|
| 5.1566 | 70.77 |
| 5.1443 | 17.11 |
| 5.1055 | 11.94 |
| 5.0760 | 0.078 |
| 5.0540 | 0.047 |
| 5.1567 | 0.03 |
| 5.1110 | 0.02 |
| 5.0060 | 0.017 |
| 4.9870 | 0.013 |
Activity over millennia
Ten half-lives is 241,095 years. On any timescale a facility can be planned over the activity is constant — 99.89% is left after forty years — and the mean life 1/λ is 34,783 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 | 80,090 years |
| Time to fall to 1 % | 160,180 years |
| Time to fall to 0.1 % | 240,270 years |
Limits — intake, not external dose
- 0.00000823 mGy/h at a metre — bare point source, no capsule, no self-absorption.
- 0.120 mm of lead halves this spectrum, narrow beam, scatter not added back.
- Γ excludes 3 lines under 20 keV, carrying 4.33% of all emissions.
- Alpha reaches nothing through skin — Pu-239 is an intake problem, not an external one.
- What every sheet leaves out, internal dose included.
Gamma and decay calculators for Pu-239
Other Plutonium nuclides: Pu-238, 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.