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Ir-192m2 shielding — lead half-value layer and dose rate

Iridium-192m2

Ir-192m2 · Iridium, Z = 77, A = 192 · isomeric state m2

A gigabecquerel of Ir-192m2 is 3.50 mg of material, which follows from a specific activity of 2.86e+11 Bq/g (7.73 Ci/g). Iridium-192m2 decays by isomeric transition with a half-life of 241 years; forty years leaves 89.13% of today's activity and ten thousand years leaves 3.2e-11%.

The air kerma rate constant is small — 0.0000819 mGy·m²/(GBq·h), 9.4e+2× less than Cs-137 and 3.7e+3× less than Co-60, ranking 85 of 96 by Γ — near the bottom of the photon emitters, but above the cutoff, which 51 nuclides in this dataset are not. 1 GBq at 1 m reads 0.0000819 mGy/h, and 1 Ci at the same distance 0.00303 mGy/h. It takes 244 GBq at a metre to reach 20 µSv/h from the photons alone.

6 lines clear the 20 keV cutoff, but 5 of them carry 90% of the dose rate. The leading one is 64.9 keV at 31.7% of the total — its emission probability is 0.3055%, which is also the highest.

Shielding barely arises: 0.189 mm of lead halves the air kerma rate and 0.684 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 1.27 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 3.6 times the half-value layer, not the 3.32 a single energy would give.

Ir-192 grows in beneath Ir-192m2 with a half-life of 73.829 days. How much of it is present depends on how long ago the isomer was produced, which this page cannot know — at full ingrowth it brings 0.109 mGy·m²/(GBq·h) of air kerma rate constant, which the figures above do not include.

Half-life, specific activity and dose rate

Half-life241 years (7.605e+9 s)
Decay modeisomeric transition
Specific activity2.86e+11 Bq/g (7.73 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0000819 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0000819 mGy/h
Dose rate, 1 Ci at 1 m0.00303 mGy/h
Kerma-weighted mean photon energy86.99 keV

6 lines above the cutoff, and what each contributes

2 further lines below the 20 keV cutoff, the highest at 12.98 keV and 42.7% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
64.900.305531.71
155.160.121.89
63.290.1780218.39
74.510.1315214.01
73.640.1025110.90
75.580.029013.10

0.189 mm of lead halves this spectrum

Solved numerically across all 6 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.1890.6843.62
tungsten0.09500.4384.61
iron1.276.144.85
copper0.8674.585.28
concrete14.148.83.45
water37.41263.36
aluminum11.941.53.49

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

Activity over millennia

Ten half-lives is 2,410 years, which puts decay storage out of reach: 89.13% survives forty years. The mean life 1/λ, the quantity that enters an integrated dose, is 348 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 activity801 years
Time to fall to 1 %1,601 years
Time to fall to 0.1 %2,402 years

Limits of these dose rates

Gamma and decay calculators for Ir-192m2

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

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