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Th-232 specific activity and alpha line energies

Thorium-232

Th-232 · Thorium, Z = 90, A = 232

Thorium-232 (Th-232) is slow enough to be handled as a material rather than as a trace: 4.07e+3 Bq/g, or 1.10e-7 Ci/g, puts a gigabecquerel at 246 kg. Decay is by alpha decay, half-life 1.40 × 10¹⁰ years, and shedding even one per cent of the activity takes 203 million years.

The air kerma rate constant is small — 0.0000262 mGy·m²/(GBq·h), 3.0e+3× less than Cs-137 and 1.2e+4× less than Co-60, ranking 86 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 0.0000262 mGy/h, and 1 Ci at the same distance 0.000970 mGy/h. It takes 763 GBq at a metre to reach 20 µSv/h from the photons alone.

5 lines clear the 20 keV cutoff, but 2 of them carry 90% of the dose rate. The leading one is 63.8 keV at 85.0% of the total — its emission probability is 0.263%, which is also the highest.

Shielding barely arises: 0.152 mm of lead halves the air kerma rate and 0.523 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 0.997 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 3.4 times the half-value layer, not the 3.32 a single energy would give.

Alpha emission is led by 4.012 MeV at 78.2%, 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-life1.40 × 10¹⁰ years (4.418e+17 s)
Decay modealpha decay
Specific activity4.07e+3 Bq/g (1.10e-7 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0000262 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0000262 mGy/h
Dose rate, 1 Ci at 1 m0.000970 mGy/h
Kerma-weighted mean photon energy74.26 keV

63.8 keV carries 85% of the dose rate

1 further line below the 20 keV cutoff, the highest at 14.92 keV and 7.14% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
63.810.26385.02
140.880.02112.79
88.470.002811.03
85.430.001720.61
101.370.001310.54

0.152 mm of lead halves this spectrum

Solved numerically across all 5 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.1520.5233.45
tungsten0.1190.4083.43
iron0.9974.064.07
copper0.6732.844.22
concrete12.943.93.41
water35.81203.34
aluminum10.736.73.43

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

3 alpha lines, strongest 4.012 MeV

3 recorded lines from 3.811 to 4.012 MeV, the strongest 4.012 MeV at 78.2% of 99.97% total alpha emission.

Energy (MeV)Emission probability (%)
4.012378.2
3.947221.7
3.81110.069

Activity over geological time

Ten half-lives is 140 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 20.2 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 activity46.5 billion years
Time to fall to 1 %93.0 billion years
Time to fall to 0.1 %140 billion years

Limits — intake, not external dose

Gamma and decay calculators for Th-232

Other Thorium nuclides: Th-228, Th-229, Th-230

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