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Sb-124 shielding — lead half-value layer and dose rate

Antimony-124

Sb-124 · Antimony, Z = 51, A = 124

At 6.48e+14 Bq/g — 1.75e+4 Ci/g — a gigabecquerel of Sb-124 amounts to 1.54 µg, which is why activity rather than mass is how anyone states the quantity. Antimony-124 decays by beta-minus decay with a half-life of 60.20 days, falling to 70.79% of today's activity in a month and 1.49% in a year.

Among the strong external emitters here: Γ of 0.226 mGy·m²/(GBq·h) ranks 8 of 96, 2.9× Cs-137 and 1.4× less than Co-60. 1 GBq at 1 m reads 0.226 mGy/h, and 1 Ci at the same distance 8.35 mGy/h — a metre-scale hazard at gigabecquerel activities, and 88.6 MBq is already 20 µSv/h at that distance.

59 lines clear the 20 keV cutoff, but 6 of them carry 90% of the dose rate. The leading one is 1691.0 keV at 40.2% of the total — its emission probability is 47.56506%, which is lower than the 97.79% of the 602.7 keV line it outranks.

This is a shield that has to be designed: 7.97 mm of lead for a factor of two and 31.1 mm for a factor of ten, or 15.0 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 33.1 mm of lead.

Half-life, specific activity and dose rate

Half-life60.20 days (5.201e+6 s)
Decay modebeta-minus decay
Specific activity6.48e+14 Bq/g (1.75e+4 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.226 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.226 mGy/h
Dose rate, 1 Ci at 1 m8.35 mGy/h
Kerma-weighted mean photon energy1198 keV

59 lines above the cutoff, and what each contributes

1 further line below the 20 keV cutoff, the highest at 4.13 keV and 0.0447% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
1690.9747.5650640.25
602.7397.7935.38
2090.935.486025.39
722.7810.75694.60
645.857.420312.86
1368.162.623711.90
1325.501.580291.12
1045.131.832581.08
968.201.882461.04
713.782.275570.96
1436.551.216510.92
1355.201.037550.75
709.341.353410.57
1488.890.671820.52

Showing the 14 largest contributors of 59 lines above the cutoff; the remainder together carry 2.67% of the dose rate.

7.97 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
lead7.9731.13.90
tungsten5.1119.33.78
iron15.052.53.49
copper13.446.83.50
concrete47.91673.49
water1013543.49
aluminum43.11503.49

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

Activity over months and years

Ten half-lives is 1.65 years — a storage problem rather than a disposal one, with 1.49% of today's activity still there after a year. The mean life 1/λ is 86.9 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 activity200 days
Time to fall to 1 %1.10 years
Time to fall to 0.1 %1.64 years

Limits of these dose rates

Gamma and decay calculators for Sb-124

Other Antimony nuclides: Sb-124m1, Sb-124m2, Sb-125

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