Cobalt-60
Co-60 · Cobalt, Z = 27, A = 60
Cobalt-60 decays by beta-minus decay, half-life 1925.28 days. Specific activity is 4.19e+13 Bq/g (1.13e+3 Ci/g), so a gigabecquerel comes to 23.9 µg — weighable, but on an analytical balance. Over a year the activity falls to 87.68%, and over forty years to 0.52%.
Among the strong external emitters here: Γ of 0.306 mGy·m²/(GBq·h) ranks 4 of 96, 4.0× Cs-137. 1 GBq at 1 m reads 0.306 mGy/h, and 1 Ci at the same distance 11.3 mGy/h — a metre-scale hazard at gigabecquerel activities, and 65.4 MBq is already 20 µSv/h at that distance.
5 lines clear the 20 keV cutoff, but 2 of them carry 90% of the dose rate. The leading one is 1332.5 keV at 52.5% of the total — its emission probability is 99.9826%, which is also the highest.
This is a shield that has to be designed: 10.3 mm of lead for a factor of two and 34.4 mm for a factor of ten, or 16.5 mm of steel to halve it, at which point the mass of the shield is part of the problem. Reaching 20 µSv/h from 1 GBq at a metre takes 40.8 mm of lead.
The beta endpoint is 1.49 MeV, mean 0.0964 MeV over 2 branches; that endpoint comes from a branch of only 0.12%, while 99.88% of decays take the 0.318 MeV branch. Shielding is sized on the endpoint, dose on the mean. That endpoint stops in 5.70 mm of acrylic or 2.69 mm of glass. Of the beta energy, 0.31% turns into X-rays in acrylic and 4.28% in lead.
Half-life, specific activity, dose rate and beta energies
| Half-life | 1925.28 days (1.663e+8 s) |
| Decay mode | beta-minus decay |
| Specific activity | 4.19e+13 Bq/g (1.13e+3 Ci/g) |
| Air kerma rate constant Γ (δ = 20 keV) | 0.306 mGy·m²/(GBq·h) |
| Dose rate, 1 GBq at 1 m | 0.306 mGy/h |
| Dose rate, 1 Ci at 1 m | 11.3 mGy/h |
| Kerma-weighted mean photon energy | 1257 keV |
| Beta endpoint / mean | 1.49 MeV / 0.0964 MeV |
1332 keV leads, and 2 lines make 90%
3 further lines below the 20 keV cutoff, the highest at 8.30 keV and 0.0111% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.
| Energy (keV) | Emission probability (%) | Share of dose rate (%) |
|---|---|---|
| 1332.49 | 99.9826 | 52.49 |
| 1173.23 | 99.85 | 47.50 |
| 826.10 | 0.0076 | 0.00 |
| 347.14 | 0.0075 | 0.00 |
| 2158.57 | 0.0012 | 0.00 |
10.3 mm of lead halves this spectrum
Solved numerically across all 5 lines, narrow beam. Why not one representative energy.
| Material | HVL (mm) | TVL (mm) | TVL / HVL |
|---|---|---|---|
| lead | 10.3 | 34.4 | 3.33 |
| tungsten | 6.42 | 21.4 | 3.33 |
| iron | 16.5 | 54.8 | 3.32 |
| copper | 14.7 | 48.9 | 3.32 |
| concrete | 52.0 | 173 | 3.32 |
| water | 110 | 365 | 3.32 |
| aluminum | 46.8 | 156 | 3.32 |
A single energy would give 3.32. What a spread of energies does instead.
5.70 mm of acrylic stops the 1.49 MeV endpoint
Katz–Penfold fit to the 1.49 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 | 5.70 |
| aluminum | 2.49 |
| water | 6.73 |
| glass | 2.69 |
| Shield material | Fraction of beta energy converted to X-rays |
|---|---|
| acrylic (Z ≈ 6) | 0.31% |
| lead (Z = 82) | 4.28% |
Activity over decades and centuries
Ten half-lives is 52.7 years, which puts decay storage out of reach: 0.52% survives forty years. The mean life 1/λ, the quantity that enters an integrated dose, is 7.60 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 | 17.5 years |
| Time to fall to 1 % | 35.0 years |
| Time to fall to 0.1 % | 52.5 years |
Limits of these dose rates
- 0.306 mGy/h at a metre — bare point source, no capsule, no self-absorption.
- 10.3 mm of lead halves this spectrum, narrow beam, scatter not added back.
- Γ excludes 3 lines under 20 keV, carrying 0.0111% of all emissions.
- 5.70 mm of acrylic for the 1.49 MeV endpoint: a ±10% fit, and not a skin dose.
- What every sheet leaves out, internal dose included.
Gamma, beta and decay calculators for Co-60
- Gamma dose rate and shielding
- Beta dose rate and shielding
- Decay and half-life
- Mass and activity
- Detection limits (MDA / MDC)
Other Cobalt nuclides: Co-57, Co-60m
Computed from the IAEA Nuclear Data Section — Livechart API (ENSDF) and the NIST X-Ray Mass Attenuation Coefficients. Derivations and citations.