Thorium-228
Th-228 · Thorium, Z = 90, A = 228
Thorium-228 decays by alpha decay, half-life 1.9116 years. Specific activity is 3.03e+13 Bq/g (820 Ci/g), so a gigabecquerel comes to 33.0 µg — weighable, but on an analytical balance. Over a year the activity falls to 69.59%, and over forty years to 5.0e-5%.
The air kerma rate constant is small — 0.000227 mGy·m²/(GBq·h), 3.4e+2× less than Cs-137 and 1.3e+3× less than Co-60, ranking 84 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 0.000227 mGy/h, and 1 Ci at the same distance 0.00840 mGy/h. It takes 88.1 GBq at a metre to reach 20 µSv/h from the photons alone.
10 lines clear the 20 keV cutoff, but 4 of them carry 90% of the dose rate. The leading one is 84.4 keV at 48.4% of the total — its emission probability is 1.188%, which is also the highest.
A half-value layer of 0.363 mm in lead puts this in foil and thin sheet, with 2.81 mm needed if the material is steel; ten-fold attenuation comes at 1.45 mm of lead. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 4.0 times the half-value layer, not the 3.32 a single energy would give.
Alpha emission is led by 5.423 MeV at 73.4%, one of 5 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 | 1.9116 years (6.032e+7 s) |
| Decay mode | alpha decay |
| Specific activity | 3.03e+13 Bq/g (820 Ci/g) |
| Air kerma rate constant Γ (δ = 20 keV) | 0.000227 mGy·m²/(GBq·h) |
| Dose rate, 1 GBq at 1 m | 0.000227 mGy/h |
| Dose rate, 1 Ci at 1 m | 0.00840 mGy/h |
| Kerma-weighted mean photon energy | 136.7 keV |
10 lines above the cutoff, and what each contributes
1 further line below the 20 keV cutoff, the highest at 14.92 keV and 8.42% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.
| Energy (keV) | Emission probability (%) | Share of dose rate (%) |
|---|---|---|
| 84.37 | 1.188 | 48.40 |
| 215.98 | 0.24687 | 29.21 |
| 166.41 | 0.10086 | 8.68 |
| 131.61 | 0.12712 | 8.26 |
| 205.93 | 0.01913 | 2.14 |
| 88.47 | 0.02956 | 1.25 |
| 85.43 | 0.01809 | 0.74 |
| 101.37 | 0.01377 | 0.66 |
| 100.12 | 0.01037 | 0.49 |
| 102.95 | 0.0034 | 0.17 |
0.363 mm of lead halves this spectrum
Solved numerically across all 10 lines, narrow beam. Why not one representative energy.
| Material | HVL (mm) | TVL (mm) | TVL / HVL |
|---|---|---|---|
| lead | 0.363 | 1.45 | 4.00 |
| tungsten | 0.117 | 0.969 | 8.31 |
| iron | 2.81 | 13.0 | 4.62 |
| copper | 2.06 | 10.5 | 5.09 |
| concrete | 18.6 | 64.0 | 3.43 |
| water | 43.4 | 146 | 3.37 |
| aluminum | 16.2 | 56.2 | 3.46 |
A single energy would give 3.32. What a spread of energies does instead.
5 alpha lines, strongest 5.423 MeV
5 recorded lines from 5.138 to 5.423 MeV, the strongest 5.423 MeV at 73.4% of 100.1% total alpha emission.
| Energy (MeV) | Emission probability (%) |
|---|---|
| 5.4231 | 73.4 |
| 5.3404 | 26 |
| 5.2110 | 0.408 |
| 5.1730 | 0.218 |
| 5.1380 | 0.036 |
Activity over decades and centuries
Ten half-lives is 19.1 years, which puts decay storage out of reach: 5.0e-5% survives forty years. The mean life 1/λ, the quantity that enters an integrated dose, is 2.76 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 | 6.35 years |
| Time to fall to 1 % | 12.7 years |
| Time to fall to 0.1 % | 19.1 years |
Limits — intake, not external dose
- 0.000227 mGy/h at a metre — bare point source, no capsule, no self-absorption.
- 0.363 mm of lead halves this spectrum, narrow beam, scatter not added back.
- Γ excludes 1 line under 20 keV, carrying 8.42% of all emissions.
- Alpha reaches nothing through skin — Th-228 is an intake problem, not an external one.
- What every sheet leaves out, internal dose included.
Gamma and decay calculators for Th-228
Other Thorium nuclides: Th-229, Th-230, Th-232
Computed from the IAEA Nuclear Data Section — Livechart API (ENSDF) and the NIST X-Ray Mass Attenuation Coefficients. Derivations and citations.