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Nb-95 shielding — lead half-value layer and dose rate

Niobium-95

Nb-95 · Niobium, Z = 41, A = 95

At 1.45e+15 Bq/g — 3.93e+4 Ci/g — a gigabecquerel of Nb-95 amounts to 687 ng, which is why activity rather than mass is how anyone states the quantity. Niobium-95 decays by beta-minus decay with a half-life of 34.991 days, falling to 55.20% of today's activity in a month and 0.07% in a year.

1 GBq at 1 m reads 0.101 mGy/h, and 1 Ci at the same distance 3.76 mGy/h, from an air kerma rate constant of 0.101 mGy·m²/(GBq·h) — 1.3× Cs-137 and 3.0× less than Co-60, and 21 of 96 among the photon emitters carried here.

3 lines clear the 20 keV cutoff, but one of them carries 90% of the dose rate. The leading one is 765.8 keV at 100.0% of the total — its emission probability is 99.808%, which is also the highest.

This is a shield that has to be designed: 6.54 mm of lead for a factor of two and 21.7 mm for a factor of ten, or 12.9 mm of steel to halve it, at which point the mass of the shield is part of the problem. Reaching 20 µSv/h from 1 GBq at a metre takes 15.3 mm of lead.

Half-life, specific activity and dose rate

Half-life34.991 days (3.023e+6 s)
Decay modebeta-minus decay
Specific activity1.45e+15 Bq/g (3.93e+4 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.101 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.101 mGy/h
Dose rate, 1 Ci at 1 m3.76 mGy/h
Kerma-weighted mean photon energy765.7 keV

766 keV carries 100% of the dose rate

6 further lines below the 20 keV cutoff, the highest at 19.96 keV and 0.120% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
765.8099.80899.98
561.880.0150.01
204.120.0280.01

6.54 mm of lead halves this spectrum

Solved numerically across all 3 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead6.5421.73.32
tungsten4.2514.13.32
iron12.942.73.32
copper11.538.13.32
concrete40.91363.32
water86.42873.32
aluminum36.81223.32

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

Activity over months and years

Ten half-lives is 350 days — a storage problem rather than a disposal one, with 0.07% of today's activity still there after a year. The mean life 1/λ is 50.5 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 activity116 days
Time to fall to 1 %232 days
Time to fall to 0.1 %349 days

Limits of these dose rates

Gamma and decay calculators for Nb-95

Other Niobium nuclides: Nb-95m

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