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Ir-192 shielding — lead half-value layer and dose rate

Iridium-192

Ir-192 · Iridium, Z = 77, A = 192

At 3.41e+14 Bq/g — 9.21e+3 Ci/g — a gigabecquerel of Ir-192 amounts to 2.93 µg, which is why activity rather than mass is how anyone states the quantity. Iridium-192 decays by electron capture with a half-life of 73.829 days, falling to 75.45% of today's activity in a month and 3.24% in a year.

1 GBq at 1 m reads 0.109 mGy/h, and 1 Ci at the same distance 4.05 mGy/h, from an air kerma rate constant of 0.109 mGy·m²/(GBq·h) — 1.4× Cs-137 and 2.8× less than Co-60, and 19 of 96 among the photon emitters carried here.

39 lines clear the 20 keV cutoff, but 6 of them carry 90% of the dose rate. The leading one is 316.5 keV at 31.8% of the total — its emission probability is 82.86%, which is also the highest.

Halving the air kerma rate calls for 2.25 mm of lead, or 8.94 mm of steel where lead is unwelcome, and a factor of ten calls for 9.01 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 6.20 mm of lead.

Half-life, specific activity and dose rate

Half-life73.829 days (6.379e+6 s)
Decay modeelectron capture
Specific activity3.41e+14 Bq/g (9.21e+3 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.109 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.109 mGy/h
Dose rate, 1 Ci at 1 m4.05 mGy/h
Kerma-weighted mean photon energy396.8 keV

39 lines above the cutoff, and what each contributes

2 further lines below the 20 keV cutoff, the highest at 11.07 keV and 5.43% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
316.5182.8631.78
468.0747.8427.83
308.4629.711.07
295.9628.7110.22
604.418.2166.15
612.465.344.05
588.584.5223.30
484.583.191.92
205.793.310.77
66.834.53720.35
416.470.670.35
374.490.7270.34
884.540.2920.31
489.060.4380.27

Showing the 14 largest contributors of 39 lines above the cutoff; the remainder together carry 1.30% of the dose rate.

2.25 mm of lead halves this spectrum

Solved numerically across all 39 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead2.259.014.01
tungsten1.606.273.92
iron8.9430.63.42
copper7.8026.73.43
concrete30.11013.37
water64.02153.36
aluminum27.091.13.38

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

Activity over months and years

Ten half-lives is 2.02 years — a storage problem rather than a disposal one, with 3.24% of today's activity still there after a year. The mean life 1/λ is 107 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 activity245 days
Time to fall to 1 %1.34 years
Time to fall to 0.1 %2.01 years

Limits of these dose rates

Gamma and decay calculators for Ir-192

Other Iridium nuclides: Ir-192m1, Ir-192m2

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