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Ir-192m1 shielding — lead half-value layer and dose rate

Iridium-192m1

Ir-192m1 · Iridium, Z = 77, A = 192 · isomeric state m1

Iridium-192m1 (Ir-192m1) carries 2.50e+19 Bq/g, or 6.76e+8 Ci/g: a gigabecquerel is 40.0 pg, no weighable quantity at all. It decays by isomeric transition with a half-life of 1.45 minutes, which leaves 1.1e-297% of today's activity after a day and 0% after a week.

At 0.0497 mGy·m²/(GBq·h) the air kerma rate constant is 1.6× less than Cs-137 and 6.1× less than Co-60, placing it 42 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.0497 mGy/h, and 1 Ci at the same distance 1.84 mGy/h.

9 lines clear the 20 keV cutoff, but 2 of them carry 90% of the dose rate. The leading one is 316.5 keV at 77.8% of the total — its emission probability is 92.24%, which is also the highest.

Halving the air kerma rate calls for 1.70 mm of lead, or 8.21 mm of steel where lead is unwelcome, and a factor of ten calls for 6.02 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 2.26 mm of lead.

Half-life, specific activity and dose rate

Half-life1.45 minutes (87.00 s)
Decay modeisomeric transition
Specific activity2.50e+19 Bq/g (6.76e+8 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0497 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0497 mGy/h
Dose rate, 1 Ci at 1 m1.84 mGy/h
Kerma-weighted mean photon energy328.5 keV

317 keV leads, and 2 lines make 90%

2 further lines below the 20 keV cutoff, the highest at 11.07 keV and 25.8% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
316.5192.2477.80
295.9618.9214.81
612.463.67366.12
66.832.949860.51
65.121.725670.30
76.721.276420.23
75.820.992550.17
77.830.283870.05
56.710.03510.01

1.70 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
lead1.706.023.54
tungsten1.244.353.52
iron8.2127.83.38
copper7.1124.13.39
concrete28.194.23.35
water60.02003.34
aluminum25.284.63.35

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

Activity over the first hours

Ten half-lives is 14.5 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 2.09 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 activity4.82 minutes
Time to fall to 1 %9.63 minutes
Time to fall to 0.1 %14.5 minutes

Limits of these dose rates

Gamma and decay calculators for Ir-192m1

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

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