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

Strontium-85m

Sr-85m · Strontium, Z = 38, A = 85 · isomeric state m

Strontium-85m (Sr-85m) carries 1.21e+18 Bq/g, or 3.27e+7 Ci/g: a gigabecquerel is 825 pg, no weighable quantity at all. It decays by isomeric transition with a half-life of 67.63 minutes, which leaves 3.9e-5% of today's activity after a day and 1.4e-43% after a week.

At 0.0268 mGy·m²/(GBq·h) the air kerma rate constant is 2.9× less than Cs-137 and 11× less than Co-60, placing it 51 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.0268 mGy/h, and 1 Ci at the same distance 0.993 mGy/h.

6 lines clear the 20 keV cutoff, but one of them carries 90% of the dose rate. The leading one is 231.9 keV at 91.3% of the total — its emission probability is 83.9%, which is also the highest.

A half-value layer of 0.781 mm in lead puts this in foil and thin sheet, with 6.46 mm needed if the material is steel; ten-fold attenuation comes at 2.73 mm of lead. Reaching 20 µSv/h from 1 GBq at a metre takes 0.323 mm of lead.

Half-life, specific activity and dose rate

Half-life67.63 minutes (4058 s)
Decay modeisomeric transition
Specific activity1.21e+18 Bq/g (3.27e+7 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0268 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0268 mGy/h
Dose rate, 1 Ci at 1 m0.993 mGy/h
Kerma-weighted mean photon energy225.4 keV

232 keV carries 91% of the dose rate

12 further lines below the 20 keV cutoff, the highest at 16.09 keV and 13.5% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
231.8683.991.26
151.1912.88.28
238.780.2750.31
129.820.150.08
731.800.01460.05
450.790.01070.02

0.781 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
lead0.7812.733.49
tungsten0.5802.033.49
iron6.4621.73.35
copper5.3818.13.37
concrete24.581.73.33
water52.71753.33
aluminum21.973.03.33

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

Activity over the first hours

Ten half-lives is 11.3 hours, 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 1.63 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 activity3.74 hours
Time to fall to 1 %7.49 hours
Time to fall to 0.1 %11.2 hours

Limits of these dose rates

Gamma and decay calculators for Sr-85m

Other Strontium nuclides: Sr-85, Sr-89, Sr-90

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