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Se-75 shielding — lead half-value layer and dose rate

Selenium-75

Se-75 · Selenium, Z = 34, A = 75

At 5.38e+14 Bq/g — 1.46e+4 Ci/g — a gigabecquerel of Se-75 amounts to 1.86 µg, which is why activity rather than mass is how anyone states the quantity. Selenium-75 decays by electron capture with a half-life of 119.78 days, falling to 84.06% of today's activity in a month and 12.08% in a year.

At 0.0481 mGy·m²/(GBq·h) the air kerma rate constant is 1.6× less than Cs-137 and 6.4× less than Co-60, placing it 43 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.0481 mGy/h, and 1 Ci at the same distance 1.78 mGy/h.

15 lines clear the 20 keV cutoff, but 4 of them carry 90% of the dose rate. The leading one is 264.7 keV at 41.8% of the total — its emission probability is 58.9%, which is also the highest.

A half-value layer of 0.855 mm in lead puts this in foil and thin sheet, with 6.34 mm needed if the material is steel; ten-fold attenuation comes at 4.15 mm of lead. Reaching 20 µSv/h from 1 GBq at a metre takes 1.18 mm of lead. The tenth-value layer runs 4.8 times the half-value layer, not the 3.32 a single energy would give.

Half-life, specific activity and dose rate

Half-life119.78 days (1.035e+7 s)
Decay modeelectron capture
Specific activity5.38e+14 Bq/g (1.46e+4 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0481 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0481 mGy/h
Dose rate, 1 Ci at 1 m1.78 mGy/h
Kerma-weighted mean photon energy252.6 keV

15 lines above the cutoff, and what each contributes

7 further lines below the 20 keV cutoff, the highest at 14.89 keV and 65.9% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
264.6658.941.82
279.5425.0207218.95
136.0058.546618.66
400.6611.4148212.88
121.1217.204694.79
303.921.314651.10
198.611.496060.76
96.733.44860.74
66.051.111440.20
572.400.036160.06
24.380.025330.02
419.080.012370.01
617.670.004510.01
373.860.002530.00

Showing the 14 largest contributors of 15 lines above the cutoff; the remainder together carry 0.00% of the dose rate.

0.855 mm of lead halves this spectrum

Solved numerically across all 15 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.8554.154.85
tungsten0.6293.024.81
iron6.3423.03.63
copper5.2619.63.73
concrete24.984.43.38
water53.91813.37
aluminum22.375.53.39

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

Activity over months and years

Ten half-lives is 3.28 years — a storage problem rather than a disposal one, with 12.08% of today's activity still there after a year. The mean life 1/λ is 173 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 activity1.09 years
Time to fall to 1 %2.18 years
Time to fall to 0.1 %3.27 years

Limits of these dose rates

Gamma and decay calculators for Se-75

Other Selenium nuclides: Se-79

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