Thorium-232
Th-232 · Thorium, Z = 90, A = 232
Thorium-232 (Th-232) is slow enough to be handled as a material rather than as a trace: 4.07e+3 Bq/g, or 1.10e-7 Ci/g, puts a gigabecquerel at 246 kg. Decay is by alpha decay, half-life 1.40 × 10¹⁰ years, and shedding even one per cent of the activity takes 203 million years.
The air kerma rate constant is small — 0.0000262 mGy·m²/(GBq·h), 3.0e+3× less than Cs-137 and 1.2e+4× less than Co-60, ranking 86 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 0.0000262 mGy/h, and 1 Ci at the same distance 0.000970 mGy/h. It takes 763 GBq at a metre to reach 20 µSv/h from the photons alone.
5 lines clear the 20 keV cutoff, but 2 of them carry 90% of the dose rate. The leading one is 63.8 keV at 85.0% of the total — its emission probability is 0.263%, which is also the highest.
Shielding barely arises: 0.152 mm of lead halves the air kerma rate and 0.523 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 0.997 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 3.4 times the half-value layer, not the 3.32 a single energy would give.
Alpha emission is led by 4.012 MeV at 78.2%, 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 | 1.40 × 10¹⁰ years (4.418e+17 s) |
| Decay mode | alpha decay |
| Specific activity | 4.07e+3 Bq/g (1.10e-7 Ci/g) |
| Air kerma rate constant Γ (δ = 20 keV) | 0.0000262 mGy·m²/(GBq·h) |
| Dose rate, 1 GBq at 1 m | 0.0000262 mGy/h |
| Dose rate, 1 Ci at 1 m | 0.000970 mGy/h |
| Kerma-weighted mean photon energy | 74.26 keV |
63.8 keV carries 85% of the dose rate
1 further line below the 20 keV cutoff, the highest at 14.92 keV and 7.14% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.
| Energy (keV) | Emission probability (%) | Share of dose rate (%) |
|---|---|---|
| 63.81 | 0.263 | 85.02 |
| 140.88 | 0.021 | 12.79 |
| 88.47 | 0.00281 | 1.03 |
| 85.43 | 0.00172 | 0.61 |
| 101.37 | 0.00131 | 0.54 |
0.152 mm of lead halves this spectrum
Solved numerically across all 5 lines, narrow beam. Why not one representative energy.
| Material | HVL (mm) | TVL (mm) | TVL / HVL |
|---|---|---|---|
| lead | 0.152 | 0.523 | 3.45 |
| tungsten | 0.119 | 0.408 | 3.43 |
| iron | 0.997 | 4.06 | 4.07 |
| copper | 0.673 | 2.84 | 4.22 |
| concrete | 12.9 | 43.9 | 3.41 |
| water | 35.8 | 120 | 3.34 |
| aluminum | 10.7 | 36.7 | 3.43 |
A single energy would give 3.32. What a spread of energies does instead.
3 alpha lines, strongest 4.012 MeV
3 recorded lines from 3.811 to 4.012 MeV, the strongest 4.012 MeV at 78.2% of 99.97% total alpha emission.
| Energy (MeV) | Emission probability (%) |
|---|---|
| 4.0123 | 78.2 |
| 3.9472 | 21.7 |
| 3.8111 | 0.069 |
Activity over geological time
Ten half-lives is 140 billion years. On any timescale a facility can be planned over the activity is constant — 100.00% is left after forty years — and the mean life 1/λ is 20.2 billion 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 | 46.5 billion years |
| Time to fall to 1 % | 93.0 billion years |
| Time to fall to 0.1 % | 140 billion years |
Limits — intake, not external dose
- 0.0000262 mGy/h at a metre — bare point source, no capsule, no self-absorption.
- 0.152 mm of lead halves this spectrum, narrow beam, scatter not added back.
- Γ excludes 1 line under 20 keV, carrying 7.14% of all emissions.
- Alpha reaches nothing through skin — Th-232 is an intake problem, not an external one.
- What every sheet leaves out, internal dose included.
Gamma and decay calculators for Th-232
Other Thorium nuclides: Th-228, Th-229, Th-230
Computed from the IAEA Nuclear Data Section — Livechart API (ENSDF) and the NIST X-Ray Mass Attenuation Coefficients. Derivations and citations.