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Eu-152m1 shielding — lead half-value layer and dose rate

Europium-152m1

Eu-152m1 · Europium, Z = 63, A = 152 · isomeric state m1

Europium-152m1 (Eu-152m1) carries 8.20e+16 Bq/g, or 2.22e+6 Ci/g: a gigabecquerel is 12.2 ng, no weighable quantity at all. It decays by beta-minus decay with a half-life of 9.3116 hours, which leaves 16.75% of today's activity after a day and 3.7e-4% after a week.

At 0.0404 mGy·m²/(GBq·h) the air kerma rate constant is 1.9× less than Cs-137 and 7.6× less than Co-60, placing it 45 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.0404 mGy/h, and 1 Ci at the same distance 1.49 mGy/h.

54 lines clear the 20 keV cutoff, but 7 of them carry 90% of the dose rate. The leading one is 841.6 keV at 38.9% of the total — its emission probability is 14.2%, which is also the highest.

This is a shield that has to be designed: 6.22 mm of lead for a factor of two and 24.8 mm for a factor of ten, or 11.5 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 6.32 mm of lead.

Half-life, specific activity and dose rate

Half-life9.3116 hours (3.352e+4 s)
Decay modebeta-minus decay
Specific activity8.20e+16 Bq/g (2.22e+6 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0404 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0404 mGy/h
Dose rate, 1 Ci at 1 m1.49 mGy/h
Kerma-weighted mean photon energy819.7 keV

54 lines above the cutoff, and what each contributes

2 further lines below the 20 keV cutoff, the highest at 6.86 keV and 4.72% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
841.6314.238.87
963.3811.635.63
40.1213.24.09
1314.610.933.66
1389.030.823.36
344.292.42.73
121.7772.33
39.527.32.32
970.330.561.73
46.005.21.35
45.524.11.08
562.980.220.42
961.140.1280.39
46.581.070.27

Showing the 14 largest contributors of 54 lines above the cutoff; the remainder together carry 1.77% of the dose rate.

6.22 mm of lead halves this spectrum

Solved numerically across all 54 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead6.2224.83.99
tungsten3.9715.83.97
iron11.544.13.83
copper10.339.43.84
concrete37.31403.75
water81.52963.63
aluminum33.51263.76

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

Activity over days and weeks

Ten half-lives is 3.88 days, so the activity moves measurably while a count is running: every figure has to carry the time it was referred to. The mean life 1/λ is 13.4 hours.

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 activity1.29 days
Time to fall to 1 %2.58 days
Time to fall to 0.1 %3.87 days

Limits of these dose rates

Gamma and decay calculators for Eu-152m1

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

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