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Eu-152m2 shielding — lead half-value layer and dose rate

Europium-152m2

Eu-152m2 · Europium, Z = 63, A = 152 · isomeric state m2

Europium-152m2 (Eu-152m2) carries 4.77e+17 Bq/g, or 1.29e+7 Ci/g: a gigabecquerel is 2.10 ng, no weighable quantity at all. It decays by isomeric transition with a half-life of 96 minutes, which leaves 3.1e-3% of today's activity after a day and 2.5e-30% after a week.

At 0.00996 mGy·m²/(GBq·h) the air kerma rate constant is 7.7× less than Cs-137 and 31× less than Co-60, placing it 71 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.00996 mGy/h, and 1 Ci at the same distance 0.368 mGy/h.

8 lines clear the 20 keV cutoff, but 3 of them carry 90% of the dose rate. The leading one is 89.8 keV at 68.3% of the total — its emission probability is 69.7%, which is also the highest.

Shielding barely arises: 0.0718 mm of lead halves the air kerma rate and 0.251 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 1.03 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 3.5 times the half-value layer, not the 3.32 a single energy would give.

Half-life, specific activity and dose rate

Half-life96 minutes (5760 s)
Decay modeisomeric transition
Specific activity4.77e+17 Bq/g (1.29e+7 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.00996 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.00996 mGy/h
Dose rate, 1 Ci at 1 m0.368 mGy/h
Kerma-weighted mean photon energy75.23 keV

89.8 keV leads, and 3 lines make 90%

3 further lines below the 20 keV cutoff, the highest at 18.21 keV and 27.3% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
89.8569.768.25
41.5411.6204513.95
40.906.440057.89
47.654.605434.63
47.153.660913.73
48.250.944520.93
77.230.683060.60
39.750.01340.02

0.0718 mm of lead halves this spectrum

Solved numerically across all 8 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.07180.2513.50
tungsten0.05380.1853.44
iron1.035.255.07
copper0.7113.675.16
concrete12.145.73.78
water34.91193.40
aluminum10.039.13.90

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

Activity over the first hours

Ten half-lives is 16.0 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 2.31 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 activity5.32 hours
Time to fall to 1 %10.6 hours
Time to fall to 0.1 %15.9 hours

Limits of these dose rates

Gamma and decay calculators for Eu-152m2

Other Europium nuclides: Eu-152, Eu-152m1, 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.