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Hg-203 shielding — lead half-value layer and dose rate

Mercury-203

Hg-203 · Mercury, Z = 80, A = 203

At 5.11e+14 Bq/g — 1.38e+4 Ci/g — a gigabecquerel of Hg-203 amounts to 1.96 µg, which is why activity rather than mass is how anyone states the quantity. Mercury-203 decays by beta-minus decay with a half-life of 46.610 days, falling to 64.01% of today's activity in a month and 0.44% in a year.

At 0.0310 mGy·m²/(GBq·h) the air kerma rate constant is 2.5× less than Cs-137 and 9.9× less than Co-60, placing it 48 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.0310 mGy/h, and 1 Ci at the same distance 1.15 mGy/h.

6 lines clear the 20 keV cutoff, but one of them carries 90% of the dose rate. The leading one is 279.2 keV at 95.7% of the total — its emission probability is 81.56%, which is also the highest.

Halving the air kerma rate calls for 1.21 mm of lead, or 7.16 mm of steel where lead is unwelcome, and a factor of ten calls for 4.20 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 0.745 mm of lead.

Half-life, specific activity and dose rate

Half-life46.610 days (4.027e+6 s)
Decay modebeta-minus decay
Specific activity5.11e+14 Bq/g (1.38e+4 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0310 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0310 mGy/h
Dose rate, 1 Ci at 1 m1.15 mGy/h
Kerma-weighted mean photon energy270.4 keV

279 keV carries 96% of the dose rate

1 further line below the 20 keV cutoff, the highest at 12.15 keV and 5.38% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
279.2081.5695.69
72.876.102641.71
70.833.61521.01
83.632.691840.80
82.632.075440.61
84.870.61640.18

1.21 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
lead1.214.203.47
tungsten0.8883.093.48
iron7.1624.83.47
copper6.1121.23.47
concrete26.087.33.36
water55.91873.34
aluminum23.278.23.37

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

Activity over months and years

Ten half-lives is 1.28 years — a storage problem rather than a disposal one, with 0.44% of today's activity still there after a year. The mean life 1/λ is 67.2 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 activity155 days
Time to fall to 1 %310 days
Time to fall to 0.1 %1.27 years

Limits of these dose rates

Gamma and decay calculators for Hg-203

Other Mercury nuclides: Hg-203m

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