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Sb-124m1 shielding — lead half-value layer and dose rate

Antimony-124m1

Sb-124m1 · Antimony, Z = 51, A = 124 · isomeric state m1

Antimony-124m1 (Sb-124m1) carries 3.62e+19 Bq/g, or 9.79e+8 Ci/g: a gigabecquerel is 27.6 pg, no weighable quantity at all. It decays by isomeric transition with a half-life of 93 seconds, which leaves 2.2e-278% of today's activity after a day and 0% after a week.

1 GBq at 1 m reads 0.0599 mGy/h, and 1 Ci at the same distance 2.22 mGy/h, from an air kerma rate constant of 0.0599 mGy·m²/(GBq·h) — 1.3× less than Cs-137 and 5.1× less than Co-60, and 37 of 96 among the photon emitters carried here.

9 lines clear the 20 keV cutoff, but 3 of them carry 90% of the dose rate. The leading one is 645.8 keV at 36.3% of the total — its emission probability is 25%, which is also the highest.

Halving the air kerma rate calls for 4.70 mm of lead, or 11.3 mm of steel where lead is unwelcome, and a factor of ten calls for 16.0 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 7.49 mm of lead.

Half-life, specific activity and dose rate

Half-life93 seconds (93.00 s)
Decay modeisomeric transition
Specific activity3.62e+19 Bq/g (9.79e+8 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0599 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0599 mGy/h
Dose rate, 1 Ci at 1 m2.22 mGy/h
Kerma-weighted mean photon energy593.7 keV

646 keV leads, and 3 lines make 90%

3 further lines below the 20 keV cutoff, the highest at 10.86 keV and 4.95% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
645.822536.30
602.722534.08
498.402528.31
1101.000.51.15
27.470.171030.07
27.200.091840.04
31.360.059570.02
31.090.048950.02
31.700.010620.00

4.70 mm of lead halves this spectrum

Solved numerically across all 9 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead4.7016.03.40
tungsten3.1710.73.38
iron11.337.73.34
copper10.033.53.34
concrete36.31213.34
water76.72563.33
aluminum32.61093.34

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

Activity over the first hours

Ten half-lives is 15.5 minutes, 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 2.24 minutes.

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 activity5.15 minutes
Time to fall to 1 %10.3 minutes
Time to fall to 0.1 %15.4 minutes

Limits of these dose rates

Gamma and decay calculators for Sb-124m1

Other Antimony nuclides: Sb-124, 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.