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

Mercury-203m

Hg-203m · Mercury, Z = 80, A = 203 · isomeric state m

Mercury-203m (Hg-203m) carries 9.31e+25 Bq/g, or 2.52e+15 Ci/g: a gigabecquerel is 10.7 ag, no weighable quantity at all. It decays by isomeric transition with a half-life of 22.1 microseconds, which leaves 0% of today's activity after a day and 0% after a week.

1 GBq at 1 m reads 0.107 mGy/h, and 1 Ci at the same distance 3.95 mGy/h, from an air kerma rate constant of 0.107 mGy·m²/(GBq·h) — 1.4× Cs-137 and 2.9× less than Co-60, and 20 of 96 among the photon emitters carried here.

7 lines clear the 20 keV cutoff, but 2 of them carry 90% of the dose rate. The leading one is 591.4 keV at 73.8% of the total — its emission probability is 98.213%, which is also the highest.

Halving the air kerma rate calls for 3.61 mm of lead, or 10.1 mm of steel where lead is unwelcome, and a factor of ten calls for 13.9 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 9.74 mm of lead.

Half-life, specific activity and dose rate

Half-life22.1 microseconds (0.00002210 s)
Decay modeisomeric transition
Specific activity9.31e+25 Bq/g (2.52e+15 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.107 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.107 mGy/h
Dose rate, 1 Ci at 1 m3.95 mGy/h
Kerma-weighted mean photon energy516.3 keV

591 keV leads, and 2 lines make 90%

1 further line below the 20 keV cutoff, the highest at 11.78 keV and 14.0% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
591.4098.21373.85
341.5052.7403822.53
70.8217.941531.45
68.8910.583710.85
81.287.872970.66
80.326.088910.51
82.481.784050.15

3.61 mm of lead halves this spectrum

Solved numerically across all 7 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead3.6113.93.86
tungsten2.489.413.80
iron10.135.13.49
copper8.8731.03.50
concrete33.31133.41
water71.02403.39
aluminum29.91023.42

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

Activity over the first hours

Ten half-lives is 0.000221 seconds, 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 0.0000319 seconds.

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 activity0.0000734 seconds
Time to fall to 1 %0.000147 seconds
Time to fall to 0.1 %0.000220 seconds

Limits of these dose rates

Gamma and decay calculators for Hg-203m

Other Mercury nuclides: Hg-203

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