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U-235 shielding — lead half-value layer and dose rate

Uranium-235

U-235 · Uranium, Z = 92, A = 235

Uranium-235 (U-235) is slow enough to be handled as a material rather than as a trace: 7.99e+4 Bq/g, or 0.00000216 Ci/g, puts a gigabecquerel at 12.5 kg. Decay is by alpha decay, half-life 7.04 × 10⁸ years, and shedding even one per cent of the activity takes 10.2 million years.

The air kerma rate constant recorded for U-235 is 0.0194 mGy·m²/(GBq·h). 1 GBq at 1 m reads 0.0194 mGy/h, and 1 Ci at the same distance 0.719 mGy/h — for that emission alone. No ranking against the other emitters here is drawn: for most of them the constant is the whole field, and for U-235 it is not.

58 lines clear the 20 keV cutoff, but 6 of them carry 90% of the dose rate. The leading one is 185.7 keV at 65.8% of the total — its emission probability is 57.2%, which is also the highest.

For U-235's own photons, 0.434 mm of lead halves the air kerma rate, 5.07 mm if the material is steel, and 1.64 mm of lead takes it to a tenth. What thickness the source in front of you needs is a question about its chain, not about this line list.

These photon figures are U-235's own. Its decay product Th-231 is not in this dataset, and neither is what follows it, so nothing below U-235 is counted here. A source left sealed long enough for the chain to build up reads higher than this — how much higher is outside what this page can compute.

Alpha emission is led by 4.396 MeV at 57.79%, one of 12 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-life7.04 × 10⁸ years (2.222e+16 s)
Decay modealpha decay
Specific activity7.99e+4 Bq/g (0.00000216 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0194 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0194 mGy/h
Dose rate, 1 Ci at 1 m0.719 mGy/h
Kerma-weighted mean photon energy177.6 keV

58 lines above the cutoff, and what each contributes

2 further lines below the 20 keV cutoff, the highest at 19.55 keV and 28.3% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
185.7157.265.84
143.7610.939.19
205.315.036.55
163.365.074.98
93.354.838962.51
89.952.991441.50
202.111.071.37
106.892.302141.37
105.571.721871.01
109.181.641.00
194.940.6370.78
279.500.260.49
182.500.4110.46
108.580.580270.35

Showing the 14 largest contributors of 58 lines above the cutoff; the remainder together carry 2.61% of the dose rate.

0.434 mm of lead halves this spectrum

Solved numerically across all 58 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.4341.643.78
tungsten0.3241.233.78
iron5.0717.73.49
copper4.0514.33.53
concrete22.174.13.35
water48.31613.34
aluminum19.765.93.35

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

12 alpha lines, strongest 4.396 MeV

12 recorded lines from 4.152 to 4.598 MeV, the strongest 4.396 MeV at 57.79% of 100.5% total alpha emission.

Energy (MeV)Emission probability (%)
4.395757.79
4.364618.94
4.21606.1
4.59774.77
4.55653.82
4.32323.58
4.41513.09
4.50291.28
4.37700.35
4.15250.297

Activity over geological time

Ten half-lives is 7.04 billion years. On any timescale a facility can be planned over the activity is constant — 100.00% is left after forty years — and the mean life 1/λ is 1.02 billion 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 activity2.34 billion years
Time to fall to 1 %4.68 billion years
Time to fall to 0.1 %7.02 billion years

Limits of these dose rates

Gamma and decay calculators for U-235

Other Uranium nuclides: U-232, U-233, U-234, 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.