Radium-223
Ra-223 · Radium, Z = 88, A = 223
At 1.90e+15 Bq/g — 5.12e+4 Ci/g — a gigabecquerel of Ra-223 amounts to 528 ng, which is why activity rather than mass is how anyone states the quantity. Radium-223 decays by alpha decay with a half-life of 11.43 days, falling to 65.41% of today's activity in a week and 0.40% in three months.
The air kerma rate constant recorded for Ra-223 is 0.0171 mGy·m²/(GBq·h). 1 GBq at 1 m reads 0.0171 mGy/h, and 1 Ci at the same distance 0.631 mGy/h — for that emission alone. No ranking against the other emitters here is drawn: for most of them the constant is the whole field, and for Ra-223 it is not.
57 lines clear the 20 keV cutoff, but 10 of them carry 90% of the dose rate. The leading one is 269.5 keV at 27.2% of the total — its emission probability is 13.3042%, which is lower than the 25.4% of the 83.8 keV line it outranks.
For Ra-223's own photons, 0.541 mm of lead halves the air kerma rate, 4.15 mm if the material is steel, and 3.84 mm of lead takes it to a tenth. What thickness the source in front of you needs is a question about its chain, not about this line list. The tenth-value layer runs 7.1 times the half-value layer, not the 3.32 a single energy would give.
These photon figures are Ra-223's own. What it decays into is not in this dataset, so nothing below Ra-223 is counted here. A source left sealed long enough for the chain to build up reads higher than this — how much higher is outside what this page can compute.
Alpha emission is led by 5.716 MeV at 51.2%, one of 12 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 | 11.43 days (9.876e+5 s) |
| Decay mode | alpha decay |
| Specific activity | 1.90e+15 Bq/g (5.12e+4 Ci/g) |
| Air kerma rate constant Γ (δ = 20 keV) | 0.0171 mGy·m²/(GBq·h) |
| Dose rate, 1 GBq at 1 m | 0.0171 mGy/h |
| Dose rate, 1 Ci at 1 m | 0.631 mGy/h |
| Kerma-weighted mean photon energy | 213.3 keV |
57 lines above the cutoff, and what each contributes
3 further lines below the 20 keV cutoff, the highest at 14.40 keV and 23.0% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.
| Energy (keV) | Emission probability (%) | Share of dose rate (%) |
|---|---|---|
| 269.46 | 13.3042 | 27.19 |
| 83.79 | 25.4 | 13.69 |
| 323.87 | 3.6421 | 9.18 |
| 81.07 | 15.42 | 8.08 |
| 96.05 | 11.64 | 7.04 |
| 338.28 | 2.60064 | 6.88 |
| 154.21 | 6.02 | 6.28 |
| 94.88 | 8.82 | 5.28 |
| 445.03 | 1.21845 | 4.32 |
| 144.24 | 3.47354 | 3.34 |
| 97.53 | 2.82 | 1.73 |
| 371.68 | 0.43464 | 1.27 |
| 122.32 | 1.30453 | 1.03 |
| 158.63 | 0.73805 | 0.80 |
Showing the 14 largest contributors of 57 lines above the cutoff; the remainder together carry 3.88% of the dose rate.
0.541 mm of lead halves this spectrum
Solved numerically across all 57 lines, narrow beam. Why not one representative energy.
| Material | HVL (mm) | TVL (mm) | TVL / HVL |
|---|---|---|---|
| lead | 0.541 | 3.84 | 7.10 |
| tungsten | 0.283 | 2.79 | 9.85 |
| iron | 4.15 | 19.9 | 4.81 |
| copper | 3.23 | 17.0 | 5.27 |
| concrete | 21.8 | 76.6 | 3.52 |
| water | 49.1 | 169 | 3.43 |
| aluminum | 19.2 | 68.1 | 3.55 |
A single energy would give 3.32. What a spread of energies does instead.
12 alpha lines, strongest 5.716 MeV
12 recorded lines from 5.283 to 5.871 MeV, the strongest 5.716 MeV at 51.2% of 98.98% total alpha emission.
| Energy (MeV) | Emission probability (%) |
|---|---|
| 5.7162 | 51.2 |
| 5.6067 | 25 |
| 5.5398 | 8.9 |
| 5.7470 | 8.9 |
| 5.4336 | 1.8 |
| 5.5016 | 1 |
| 5.8713 | 1 |
| 5.4240 | 0.39 |
| 5.8575 | 0.31 |
| 5.2873 | 0.2 |
Activity over months and years
Ten half-lives is 114 days — a storage problem rather than a disposal one, with 2.4e-8% of today's activity still there after a year. The mean life 1/λ is 16.5 days.
| 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 | 38.0 days |
| Time to fall to 1 % | 75.9 days |
| Time to fall to 0.1 % | 114 days |
Limits of these dose rates
- 0.0171 mGy/h at a metre — bare point source, no capsule, no self-absorption.
- 0.541 mm of lead halves this spectrum, narrow beam, scatter not added back.
- Γ excludes 3 lines under 20 keV, carrying 23.0% of all emissions.
- Alpha reaches nothing through skin — Ra-223 is an intake problem, not an external one.
- What every sheet leaves out, internal dose included.
Gamma and decay calculators for Ra-223
Other Radium nuclides: Ra-224, Ra-226, Ra-228
Computed from the IAEA Nuclear Data Section — Livechart API (ENSDF) and the NIST X-Ray Mass Attenuation Coefficients. Derivations and citations.