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Eu-154 shielding — lead half-value layer and dose rate

Europium-154

Eu-154 · Europium, Z = 63, A = 154

Europium-154 decays by beta-minus decay, half-life 8.601 years. Specific activity is 9.99e+12 Bq/g (270 Ci/g), so a gigabecquerel comes to 100 µg — weighable, but on an analytical balance. Over a year the activity falls to 92.26%, and over forty years to 3.98%.

1 GBq at 1 m reads 0.158 mGy/h, and 1 Ci at the same distance 5.85 mGy/h, from an air kerma rate constant of 0.158 mGy·m²/(GBq·h) — 2.1× Cs-137 and 1.9× less than Co-60, and 11 of 96 among the photon emitters carried here.

59 lines clear the 20 keV cutoff, but 10 of them carry 90% of the dose rate. The leading one is 1274.4 keV at 34.2% of the total — its emission probability is 34.8%, which is also the highest.

This is a shield that has to be designed: 7.52 mm of lead for a factor of two and 28.3 mm for a factor of ten, or 13.4 mm of steel to halve it, at which point the mass of the shield is part of the problem. Reaching 20 µSv/h from 1 GBq at a metre takes 25.2 mm of lead.

Half-life, specific activity and dose rate

Half-life8.601 years (2.714e+8 s)
Decay modebeta-minus decay
Specific activity9.99e+12 Bq/g (270 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.158 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.158 mGy/h
Dose rate, 1 Ci at 1 m5.85 mGy/h
Kerma-weighted mean photon energy977.9 keV

59 lines above the cutoff, and what each contributes

1 further line below the 20 keV cutoff, the highest at 6.86 keV and 7.11% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
1274.4334.834.16
1004.7618.0114.64
723.3020.0612.24
873.1812.088.71
996.2910.488.46
123.0740.43.48
756.804.522.88
591.754.952.51
1596.481.7972.08
247.936.891.38
692.421.7771.04
43.0013.166670.95
1246.120.8560.83
1494.050.6980.77

Showing the 14 largest contributors of 59 lines above the cutoff; the remainder together carry 5.86% of the dose rate.

7.52 mm of lead halves this spectrum

Solved numerically across all 59 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead7.5228.33.76
tungsten4.7717.83.73
iron13.448.13.57
copper12.042.93.59
concrete43.41523.51
water92.53223.48
aluminum39.01373.51

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

Activity over decades and centuries

Ten half-lives is 86.0 years, which puts decay storage out of reach: 3.98% survives forty years. The mean life 1/λ, the quantity that enters an integrated dose, is 12.4 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 activity28.6 years
Time to fall to 1 %57.1 years
Time to fall to 0.1 %85.7 years

Limits of these dose rates

Gamma and decay calculators for Eu-154

Other Europium nuclides: Eu-152, Eu-152m1, Eu-152m2, Eu-154m

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