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U-234 specific activity and alpha line energies

Uranium-234

U-234 · Uranium, Z = 92, A = 234

Uranium-234 (U-234) is slow enough to be handled as a material rather than as a trace: 2.30e+8 Bq/g, or 0.00622 Ci/g, puts a gigabecquerel at 4.34 g. Decay is by alpha decay, half-life 2.455 × 10⁵ years, and shedding even one per cent of the activity takes 3,560 years.

The air kerma rate constant is small — 0.0000167 mGy·m²/(GBq·h), 4.5e+3× less than Cs-137 and 1.8e+4× less than Co-60, ranking 88 of 96 by Γ — near the bottom of the photon emitters, but above the cutoff, which 51 nuclides in this dataset are not. 1 GBq at 1 m reads 0.0000167 mGy/h, and 1 Ci at the same distance 0.000619 mGy/h. It takes 1.20 TBq at a metre to reach 20 µSv/h from the photons alone.

6 lines clear the 20 keV cutoff, but 2 of them carry 90% of the dose rate. The leading one is 53.2 keV at 66.5% of the total — its emission probability is 0.123%, which is also the highest.

Shielding barely arises: 0.107 mm of lead halves the air kerma rate and 0.382 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 0.831 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 3.6 times the half-value layer, not the 3.32 a single energy would give.

Alpha emission is led by 4.775 MeV at 71.38%, one of 3 recorded lines. None of it reaches through skin, so the alpha is an intake hazard rather than an external one — the photon figures above are the separate question.

Half-life, specific activity and dose rate

Half-life2.455 × 10⁵ years (7.747e+12 s)
Decay modealpha decay
Specific activity2.30e+8 Bq/g (0.00622 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0000167 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0000167 mGy/h
Dose rate, 1 Ci at 1 m0.000619 mGy/h
Kerma-weighted mean photon energy74.42 keV

53.2 keV leads, and 2 lines make 90%

1 further line below the 20 keV cutoff, the highest at 15.78 keV and 9.82% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
53.200.12366.49
120.900.034227.27
93.350.004072.45
89.950.002511.46
106.890.001941.34
105.570.001450.99

0.107 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
lead0.1070.3823.59
tungsten0.08300.2943.54
iron0.8315.256.32
copper0.5593.866.90
concrete11.842.43.60
water34.81173.38
aluminum9.6635.73.69

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

3 alpha lines, strongest 4.775 MeV

3 recorded lines from 4.604 to 4.775 MeV, the strongest 4.775 MeV at 71.38% of 100.0% total alpha emission.

Energy (MeV)Emission probability (%)
4.774671.38
4.722428.42
4.60350.2

Activity over geological time

Ten half-lives is 2.45 million years. On any timescale a facility can be planned over the activity is constant — 99.99% is left after forty years — and the mean life 1/λ is 354,174 years.

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 activity815,516 years
Time to fall to 1 %1.63 million years
Time to fall to 0.1 %2.45 million years

Limits — intake, not external dose

Gamma and decay calculators for U-234

Other Uranium nuclides: U-232, U-233, U-235, U-236, U-238, U-238m

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