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Ce-141 shielding — lead half-value layer and dose rate

Cerium-141

Ce-141 · Cerium, Z = 58, A = 141

At 1.05e+15 Bq/g — 2.85e+4 Ci/g — a gigabecquerel of Ce-141 amounts to 948 ng, which is why activity rather than mass is how anyone states the quantity. Cerium-141 decays by beta-minus decay with a half-life of 32.504 days, falling to 52.74% of today's activity in a month and 0.04% in a year.

At 0.0109 mGy·m²/(GBq·h) the air kerma rate constant is 7.1× less than Cs-137 and 28× less than Co-60, placing it 68 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.0109 mGy/h, and 1 Ci at the same distance 0.403 mGy/h.

6 lines clear the 20 keV cutoff, but 3 of them carry 90% of the dose rate. The leading one is 145.4 keV at 73.5% of the total — its emission probability is 48.3%, which is also the highest.

Shielding barely arises: 0.165 mm of lead halves the air kerma rate and 0.808 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 2.38 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 4.9 times the half-value layer, not the 3.32 a single energy would give.

Half-life, specific activity and dose rate

Half-life32.504 days (2.808e+6 s)
Decay modebeta-minus decay
Specific activity1.05e+15 Bq/g (2.85e+4 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0109 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0109 mGy/h
Dose rate, 1 Ci at 1 m0.403 mGy/h
Kerma-weighted mean photon energy116.8 keV

145 keV leads, and 3 lines make 90%

1 further line below the 20 keV cutoff, the highest at 5.64 keV and 2.46% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
145.4448.373.51
36.038.7619712.21
35.554.798056.85
41.273.347973.70
40.862.665582.99
41.770.682390.74

0.165 mm of lead halves this spectrum

Solved numerically across all 6 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.1650.8084.88
tungsten0.1250.6044.84
iron2.3812.35.17
copper1.849.505.18
concrete14.059.64.26
water38.01353.55
aluminum11.952.84.44

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

Activity over months and years

Ten half-lives is 325 days — a storage problem rather than a disposal one, with 0.04% of today's activity still there after a year. The mean life 1/λ is 46.9 days.

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 activity108 days
Time to fall to 1 %216 days
Time to fall to 0.1 %324 days

Limits of these dose rates

Gamma and decay calculators for Ce-141

Other Cerium nuclides: Ce-139, Ce-139m, Ce-144

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