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Cs-134m shielding — lead half-value layer and dose rate

Cesium-134m

Cs-134m · Cesium, Z = 55, A = 134 · isomeric state m

Cesium-134m (Cs-134m) carries 2.97e+17 Bq/g, or 8.04e+6 Ci/g: a gigabecquerel is 3.36 ng, no weighable quantity at all. It decays by isomeric transition with a half-life of 2.912 hours, which leaves 0.33% of today's activity after a day and 4.3e-16% after a week.

At 0.00880 mGy·m²/(GBq·h) the air kerma rate constant is 8.8× less than Cs-137 and 35× less than Co-60, placing it 73 of 96 photon emitters in this dataset. 1 GBq at 1 m reads 0.00880 mGy/h, and 1 Ci at the same distance 0.326 mGy/h.

7 lines clear the 20 keV cutoff, but 5 of them carry 90% of the dose rate. The leading one is 31.0 keV at 37.5% of the total — its emission probability is 16.5162%, which is also the highest.

Shielding barely arises: 0.0315 mm of lead halves the air kerma rate and 0.214 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 0.179 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 6.8 times the half-value layer, not the 3.32 a single energy would give.

Half-life, specific activity and dose rate

Half-life2.912 hours (1.048e+4 s)
Decay modeisomeric transition
Specific activity2.97e+17 Bq/g (8.04e+6 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.00880 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.00880 mGy/h
Dose rate, 1 Ci at 1 m0.326 mGy/h
Kerma-weighted mean photon energy51.47 keV

7 lines above the cutoff, and what each contributes

2 further lines below the 20 keV cutoff, the highest at 11.24 keV and 16.7% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
30.9716.516237.49
30.638.9402220.71
127.5012.620.33
35.416.0026210.68
35.094.825268.73
35.821.177362.05
138.730.003910.01

0.0315 mm of lead halves this spectrum

Solved numerically across all 7 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead0.03150.2146.78
tungsten0.02470.1616.50
iron0.1793.5619.82
copper0.1182.6722.58
concrete4.6423.24.99
water22.982.83.61
aluminum3.4519.25.57

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

Activity over days and weeks

Ten half-lives is 1.21 days, so the activity moves measurably while a count is running: every figure has to carry the time it was referred to. The mean life 1/λ is 4.20 hours.

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 activity9.67 hours
Time to fall to 1 %19.3 hours
Time to fall to 0.1 %1.21 days

Limits of these dose rates

Gamma and decay calculators for Cs-134m

Other Cesium nuclides: Cs-134, Cs-135, Cs-137

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