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Sb-125 shielding — lead half-value layer and dose rate

Antimony-125

Sb-125 · Antimony, Z = 51, A = 125

Antimony-125 decays by beta-minus decay, half-life 2.75856 years. Specific activity is 3.84e+13 Bq/g (1.04e+3 Ci/g), so a gigabecquerel comes to 26.0 µg — weighable, but on an analytical balance. Over a year the activity falls to 77.78%, and over forty years to 4.3e-3%.

1 GBq at 1 m reads 0.0702 mGy/h, and 1 Ci at the same distance 2.60 mGy/h, from an air kerma rate constant of 0.0702 mGy·m²/(GBq·h) — 1.1× less than Cs-137 and 4.4× less than Co-60, and 32 of 96 among the photon emitters carried here.

40 lines clear the 20 keV cutoff, but 8 of them carry 90% of the dose rate. The leading one is 427.9 keV at 24.5% of the total — its emission probability is 29.6%, which is also the highest.

Halving the air kerma rate calls for 2.52 mm of lead, or 7.16 mm of steel where lead is unwelcome, and a factor of ten calls for 12.3 mm of lead — sheet thicknesses that a glovebox or a transport container can carry. Reaching 20 µSv/h from 1 GBq at a metre takes 5.80 mm of lead. The tenth-value layer runs 4.9 times the half-value layer, not the 3.32 a single energy would give.

Half-life, specific activity and dose rate

Half-life2.75856 years (8.705e+7 s)
Decay modebeta-minus decay
Specific activity3.84e+13 Bq/g (1.04e+3 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0702 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0702 mGy/h
Dose rate, 1 Ci at 1 m2.60 mGy/h
Kerma-weighted mean photon energy426.4 keV

40 lines above the cutoff, and what each contributes

2 further lines below the 20 keV cutoff, the highest at 19.80 keV and 4.84% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
427.8729.624.48
600.6017.6475220.48
635.9511.218413.72
463.3710.49329.42
27.4724.539258.90
606.714.981685.83
27.2013.177584.88
31.368.546632.38
671.441.79052.30
176.316.840562.05
31.097.022711.99
380.451.51671.11
35.494.374880.97
31.701.523930.42

Showing the 14 largest contributors of 40 lines above the cutoff; the remainder together carry 1.09% of the dose rate.

2.52 mm of lead halves this spectrum

Solved numerically across all 40 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead2.5212.34.88
tungsten1.738.344.83
iron7.1631.94.46
copper6.3128.24.48
concrete23.51034.41
water54.02194.05
aluminum21.092.94.42

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

Activity over decades and centuries

Ten half-lives is 27.6 years, which puts decay storage out of reach: 4.3e-3% survives forty years. The mean life 1/λ, the quantity that enters an integrated dose, is 3.98 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 activity9.16 years
Time to fall to 1 %18.3 years
Time to fall to 0.1 %27.5 years

Limits of these dose rates

Gamma and decay calculators for Sb-125

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

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