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

Europium-154m

Eu-154m · Europium, Z = 63, A = 154 · isomeric state m

Europium-154m (Eu-154m) carries 9.76e+17 Bq/g, or 2.64e+7 Ci/g: a gigabecquerel is 1.02 ng, no weighable quantity at all. It decays by isomeric transition with a half-life of 46.3 minutes, which leaves 4.3e-8% of today's activity after a day and 2.9e-64% after a week.

At 0.0134 mGy·m²/(GBq·h) the air kerma rate constant is 5.8× less than Cs-137 and 23× less than Co-60, placing it 63 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.0134 mGy/h, and 1 Ci at the same distance 0.496 mGy/h.

12 lines clear the 20 keV cutoff, but 7 of them carry 90% of the dose rate. The leading one is 68.2 keV at 23.7% of the total — its emission probability is 37%, which is also the highest.

Shielding barely arises: 0.0638 mm of lead halves the air kerma rate and 0.316 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 0.442 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 5.0 times the half-value layer, not the 3.32 a single energy would give.

Half-life, specific activity and dose rate

Half-life46.3 minutes (2778 s)
Decay modeisomeric transition
Specific activity9.76e+17 Bq/g (2.64e+7 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0134 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0134 mGy/h
Dose rate, 1 Ci at 1 m0.496 mGy/h
Kerma-weighted mean photon energy58.94 keV

12 lines above the cutoff, and what each contributes

1 further line below the 20 keV cutoff, the highest at 6.60 keV and 29.4% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
68.173723.66
100.8826.6421.42
35.8012.5814.39
41.5414.5871812.99
31.785.557.89
40.908.084217.35
47.655.78124.31
47.154.595553.48
28.781.0731.85
27.510.8881.68
48.251.185650.87
32.610.08140.11

0.0638 mm of lead halves this spectrum

Solved numerically across all 12 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.06380.3164.96
tungsten0.04970.2454.92
iron0.4423.477.86
copper0.2942.428.23
concrete8.0634.74.30
water29.21023.51
aluminum6.3529.04.56

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

Activity over the first hours

Ten half-lives is 7.72 hours, 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 1.11 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 activity2.56 hours
Time to fall to 1 %5.13 hours
Time to fall to 0.1 %7.69 hours

Limits of these dose rates

Gamma and decay calculators for Eu-154m

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

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