Cerium-144
Ce-144 · Cerium, Z = 58, A = 144
At 1.18e+14 Bq/g — 3.18e+3 Ci/g — a gigabecquerel of Ce-144 amounts to 8.49 µg, which is why activity rather than mass is how anyone states the quantity. Cerium-144 decays by beta-minus decay with a half-life of 284.91 days, falling to 92.96% of today's activity in a month and 41.12% in a year.
The air kerma rate constant is small — 0.00334 mGy·m²/(GBq·h), 23× less than Cs-137 and 91× less than Co-60, ranking 79 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 0.00334 mGy/h, and 1 Ci at the same distance 0.124 mGy/h. It takes 5.98 GBq at a metre to reach 20 µSv/h from the photons alone.
11 lines clear the 20 keV cutoff, but 5 of them carry 90% of the dose rate. The leading one is 133.5 keV at 49.7% of the total — its emission probability is 11.09%, which is also the highest.
Shielding barely arises: 0.0859 mm of lead halves the air kerma rate and 0.552 mm takes it to a tenth, thicknesses a source capsule is likely to exceed on its own. Steel does the halving in 0.731 mm. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way. The tenth-value layer runs 6.4 times the half-value layer, not the 3.32 a single energy would give.
The beta endpoint is 0.318 MeV, mean 0.0821 MeV over 3 branches. That endpoint stops in 0.724 mm of acrylic or 0.342 mm of glass. Of Ce-144's own beta energy, 0.07% turns into X-rays in acrylic and 0.91% in lead.
Ce-144 does not stand alone. Pr-144 follows it with a half-life of 17.28 minutes, so ingrowth is complete within 2.02 hours of separation. Its endpoint is 3.00 MeV and stops in 12.6 mm of acrylic, 17× the thickness above. The shield is sized on Pr-144, and so is the bremsstrahlung: 0.63% of that energy turns into X-rays in acrylic and 8.60% in lead.
Half-life, specific activity, dose rate and beta energies
| Half-life | 284.91 days (2.462e+7 s) |
| Decay mode | beta-minus decay |
| Specific activity | 1.18e+14 Bq/g (3.18e+3 Ci/g) |
| Air kerma rate constant Γ (δ = 20 keV) | 0.00334 mGy·m²/(GBq·h) |
| Dose rate, 1 GBq at 1 m | 0.00334 mGy/h |
| Dose rate, 1 Ci at 1 m | 0.124 mGy/h |
| Kerma-weighted mean photon energy | 86.81 keV |
| Beta endpoint / mean | 0.318 MeV / 0.0821 MeV |
11 lines above the cutoff, and what each contributes
1 further line below the 20 keV cutoff, the highest at 5.64 keV and 1.51% emission probability in all, is excluded here and from Γ. Why the two columns rank differently.
| Energy (keV) | Emission probability (%) | Share of dose rate (%) |
|---|---|---|
| 133.51 | 11.09 | 49.71 |
| 36.03 | 4.50085 | 20.42 |
| 35.55 | 2.46466 | 11.46 |
| 41.27 | 1.71978 | 6.20 |
| 40.86 | 1.36926 | 5.00 |
| 80.12 | 1.36407 | 3.61 |
| 41.77 | 0.35053 | 1.24 |
| 33.57 | 0.19962 | 1.03 |
| 40.98 | 0.25729 | 0.94 |
| 53.40 | 0.09981 | 0.27 |
| 99.96 | 0.03992 | 0.13 |
0.0859 mm of lead halves this spectrum
Solved numerically across all 11 lines, narrow beam. Why not one representative energy.
| Material | HVL (mm) | TVL (mm) | TVL / HVL |
|---|---|---|---|
| lead | 0.0859 | 0.552 | 6.42 |
| tungsten | 0.0625 | 0.391 | 6.26 |
| iron | 0.731 | 8.67 | 11.87 |
| copper | 0.507 | 6.57 | 12.96 |
| concrete | 9.79 | 47.5 | 4.85 |
| water | 32.5 | 117 | 3.60 |
| aluminum | 7.89 | 41.7 | 5.28 |
A single energy would give 3.32. What a spread of energies does instead.
0.724 mm of acrylic stops the 0.318 MeV endpoint
Katz–Penfold fit to the 0.318 MeV endpoint — ±10%, and a stopping thickness rather than an attenuation length. Why the material matters more than the thickness.
| Absorber | Range for the endpoint (mm) |
|---|---|
| acrylic | 0.724 |
| aluminum | 0.316 |
| water | 0.854 |
| glass | 0.342 |
| Shield material | Fraction of beta energy converted to X-rays |
|---|---|
| acrylic (Z ≈ 6) | 0.07% |
| lead (Z = 82) | 0.91% |
Activity over months and years
Ten half-lives is 7.80 years — a storage problem rather than a disposal one, with 41.12% of today's activity still there after a year. The mean life 1/λ is 1.13 years.
| Elapsed | Fraction remaining |
|---|---|
| 1 half-life | 50.0 % |
| 2 half-lives | 25.0 % |
| 5 half-lives | 3.13 % |
| 10 half-lives | 0.0977 % |
| Time to fall to 10 % of today's activity | 2.59 years |
| Time to fall to 1 % | 5.18 years |
| Time to fall to 0.1 % | 7.77 years |
Limits of these dose rates
- 0.00334 mGy/h at a metre — bare point source, no capsule, no self-absorption.
- 0.0859 mm of lead halves this spectrum, narrow beam, scatter not added back.
- Γ excludes 1 line under 20 keV, carrying 1.51% of all emissions.
- 0.724 mm of acrylic for the 0.318 MeV endpoint: a ±10% fit, and not a skin dose.
- What every sheet leaves out, internal dose included.
Gamma, beta and decay calculators for Ce-144
- Gamma dose rate and shielding
- Beta dose rate and shielding
- Decay and half-life
- Mass and activity
- Detection limits (MDA / MDC)
Other Cerium nuclides: Ce-139, Ce-139m, Ce-141
Computed from the IAEA Nuclear Data Section — Livechart API (ENSDF) and the NIST X-Ray Mass Attenuation Coefficients. Derivations and citations.