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Ra-226 shielding — lead half-value layer and dose rate

Radium-226

Ra-226 · Radium, Z = 88, A = 226

A gigabecquerel of Ra-226 is 27.3 mg of material, which follows from a specific activity of 3.66e+10 Bq/g (0.989 Ci/g). Radium-226 decays by alpha decay with a half-life of 1600 years; forty years leaves 98.28% of today's activity and ten thousand years leaves 1.31%.

The air kerma rate constant recorded for Ra-226 is 0.000879 mGy·m²/(GBq·h). 1 GBq at 1 m reads 0.000879 mGy/h, and 1 Ci at the same distance 0.0325 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-226 it is not.

7 lines clear the 20 keV cutoff, but one of them carries 90% of the dose rate. The leading one is 186.2 keV at 91.1% of the total — its emission probability is 3.565%, which is also the highest.

For Ra-226's own photons, 0.473 mm of lead halves the air kerma rate, 5.07 mm if the material is steel, and 1.65 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.

These photon figures are Ra-226's own. What it decays into is not in this dataset, so nothing below Ra-226 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 4.784 MeV at 94.07%, one of 2 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-life1600 years (5.049e+10 s)
Decay modealpha decay
Specific activity3.66e+10 Bq/g (0.989 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.000879 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.000879 mGy/h
Dose rate, 1 Ci at 1 m0.0325 mGy/h
Kerma-weighted mean photon energy177.8 keV

186 keV carries 91% of the dose rate

1 further line below the 20 keV cutoff, the highest at 14.09 keV and 0.783% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
186.213.56591.12
83.790.317743.32
81.070.192611.96
96.050.145451.71
94.880.110191.28
97.530.035260.42
262.270.0050.19

0.473 mm of lead halves this spectrum

Solved numerically across all 7 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.4731.653.49
tungsten0.3371.233.65
iron5.0717.93.53
copper4.0814.53.56
concrete22.174.13.35
water48.41613.33
aluminum19.766.03.36

A single energy would give 3.32. What a spread of energies does instead.

2 alpha lines, strongest 4.784 MeV

2 recorded lines from 4.601 to 4.784 MeV, the strongest 4.784 MeV at 94.07% of 100.0% total alpha emission.

Energy (MeV)Emission probability (%)
4.784394.07
4.60105.93

Activity over millennia

Ten half-lives is 16,000 years. On any timescale a facility can be planned over the activity is constant — 98.28% is left after forty years — and the mean life 1/λ is 2,308 years.

ElapsedFraction remaining
1 half-life50.0 %
2 half-lives25.0 %
5 half-lives3.13 %
10 half-lives0.0977 %
Time to fall to 10 % of today's activity5,315 years
Time to fall to 1 %10,630 years
Time to fall to 0.1 %15,945 years

Limits — intake, not external dose

Gamma and decay calculators for Ra-226

Other Radium nuclides: Ra-223, Ra-224, Ra-228

Computed from the IAEA Nuclear Data Section — Livechart API (ENSDF) and the NIST X-Ray Mass Attenuation Coefficients. Derivations and citations.