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

Niobium-95m

Nb-95m · Niobium, Z = 41, A = 95 · isomeric state m

Niobium-95m (Nb-95m) carries 1.41e+16 Bq/g, or 3.81e+5 Ci/g: a gigabecquerel is 70.9 ng, no weighable quantity at all. It decays by beta-minus decay with a half-life of 3.61 days, which leaves 26.08% of today's activity after a week and 2.6e-6% after three months.

At 0.00764 mGy·m²/(GBq·h) the air kerma rate constant is 10× less than Cs-137 and 40× less than Co-60, placing it 74 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.00764 mGy/h, and 1 Ci at the same distance 0.283 mGy/h.

4 lines clear the 20 keV cutoff, but one of them carries 90% of the dose rate. The leading one is 235.7 keV at 96.6% of the total — its emission probability is 24.8%, which is also the highest.

A half-value layer of 0.877 mm in lead puts this in foil and thin sheet, with 6.75 mm needed if the material is steel; ten-fold attenuation comes at 2.93 mm of lead. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way.

Half-life, specific activity and dose rate

Half-life3.61 days (3.119e+5 s)
Decay modebeta-minus decay
Specific activity1.41e+16 Bq/g (3.81e+5 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.00764 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.00764 mGy/h
Dose rate, 1 Ci at 1 m0.283 mGy/h
Kerma-weighted mean photon energy235.8 keV

236 keV carries 97% of the dose rate

11 further lines below the 20 keV cutoff, the highest at 19.79 keV and 53.7% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
235.6924.896.58
204.120.95533.14
582.080.01980.20
786.190.005590.08

0.877 mm of lead halves this spectrum

Solved numerically across all 4 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.8772.933.34
tungsten0.6502.173.34
iron6.7522.43.32
copper5.6618.83.33
concrete25.083.23.32
water53.61783.32
aluminum22.474.43.32

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

Activity over months and years

Ten half-lives is 36.1 days — a storage problem rather than a disposal one, with 3.5e-29% of today's activity still there after a year. The mean life 1/λ is 5.21 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 activity12.0 days
Time to fall to 1 %24.0 days
Time to fall to 0.1 %36.0 days

Limits of these dose rates

Gamma and decay calculators for Nb-95m

Other Niobium nuclides: Nb-95

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