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Ac-227 beta shielding — range and bremsstrahlung

Actinium-227

Ac-227 · Actinium, Z = 89, A = 227

Actinium-227 decays by beta-minus decay, half-life 21.772 years. Specific activity is 2.68e+12 Bq/g (72.3 Ci/g), so a gigabecquerel comes to 374 µg — weighable, but on an analytical balance. Over a year the activity falls to 96.87%, and over forty years to 27.99%.

The beta endpoint is 0.0448 MeV, mean 0.00987 MeV over 4 branches. That endpoint stops in 0.0274 mm of acrylic or 0.0129 mm of glass. Of the beta energy, 9.4e-3% turns into X-rays in acrylic and 0.13% in lead.

Alpha emission is led by 4.953 MeV at 0.6583%, one of 6 recorded lines. None of it reaches through skin, so the limit here is intake, not external dose.

Decay is the only handle: a year leaves 96.87% of today's activity and forty years leaves 27.99%, with ten half-lives at 218 years and a mean life of 31.4 years per atom.

Half-life, specific activity and beta endpoint

Half-life21.772 years (6.871e+8 s)
Decay modebeta-minus decay
Specific activity2.68e+12 Bq/g (72.3 Ci/g)
Beta endpoint / mean0.0448 MeV / 0.00987 MeV

0.0274 mm of acrylic stops the 0.0448 MeV endpoint

Katz–Penfold fit to the 0.0448 MeV endpoint — ±10%, and a stopping thickness rather than an attenuation length. Why the material matters more than the thickness.

AbsorberRange for the endpoint (mm)
acrylic0.0274
aluminum0.0120
water0.0323
glass0.0129
Shield materialFraction of beta energy converted to X-rays
acrylic (Z ≈ 6)0.01%
lead (Z = 82)0.13%

6 alpha lines, strongest 4.953 MeV

6 recorded lines from 4.768 to 4.953 MeV, the strongest 4.953 MeV at 0.6583% of 1.413% total alpha emission.

Energy (MeV)Emission probability (%)
4.95330.6583
4.94070.5465
4.87270.0869
4.85500.0828
4.76800.0248
4.79600.0138

Activity over decades and centuries

Ten half-lives is 218 years, which puts decay storage out of reach: 27.99% survives forty years. The mean life 1/λ, the quantity that enters an integrated dose, is 31.4 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 activity72.3 years
Time to fall to 1 %145 years
Time to fall to 0.1 %217 years

Limits — intake, not external dose

Beta and decay calculators for Ac-227

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