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Kr-85m shielding — lead half-value layer and dose rate

Krypton-85m

Kr-85m · Krypton, Z = 36, A = 85 · isomeric state m

Krypton-85m (Kr-85m) carries 3.05e+17 Bq/g, or 8.24e+6 Ci/g: a gigabecquerel is 3.28 ng, no weighable quantity at all. It decays by beta-minus decay with a half-life of 4.480 hours, which leaves 2.44% of today's activity after a day and 5.1e-10% after a week.

At 0.0187 mGy·m²/(GBq·h) the air kerma rate constant is 4.1× less than Cs-137 and 16× less than Co-60, placing it 56 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.0187 mGy/h, and 1 Ci at the same distance 0.693 mGy/h.

5 lines clear the 20 keV cutoff, but 2 of them carry 90% of the dose rate. The leading one is 151.2 keV at 69.6% of the total — its emission probability is 75.2%, which is also the highest.

A half-value layer of 0.452 mm in lead puts this in foil and thin sheet, with 5.32 mm needed if the material is steel; ten-fold attenuation comes at 2.55 mm of lead. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 5.6 times the half-value layer, not the 3.32 a single energy would give.

Half-life, specific activity and dose rate

Half-life4.480 hours (1.613e+4 s)
Decay modebeta-minus decay
Specific activity3.05e+17 Bq/g (8.24e+6 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0187 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0187 mGy/h
Dose rate, 1 Ci at 1 m0.693 mGy/h
Kerma-weighted mean photon energy197.7 keV

151 keV leads, and 2 lines make 90%

12 further lines below the 20 keV cutoff, the highest at 15.19 keV and 7.13% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
151.1975.269.63
304.871430.06
129.810.3010.23
731.600.0080.04
451.000.0110.04

0.452 mm of lead halves this spectrum

Solved numerically across all 5 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.4522.555.63
tungsten0.3371.875.53
iron5.3218.73.52
copper4.2515.33.61
concrete22.876.73.36
water49.61663.36
aluminum20.368.43.37

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

Activity over days and weeks

Ten half-lives is 1.87 days, 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 6.46 hours.

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 activity14.9 hours
Time to fall to 1 %1.24 days
Time to fall to 0.1 %1.86 days

Limits of these dose rates

Gamma and decay calculators for Kr-85m

Other Krypton nuclides: Kr-85

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